# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.024 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k10_vectsp13, axiom, ![X1, X2]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>m1_subset_1(k10_vectsp13(X1,X2),k1_zfmisc_1(u1_struct_0(k8_vectsp13(X1,X2))))), file('vectsp13/vectsp13__t27_vectsp13', dt_k10_vectsp13)).
fof(t27_vectsp13, conjecture, ![X1]:(((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>k1_vectsp_7(X1,k8_vectsp13(X1,X2),k10_vectsp13(X1,X2))=k8_vectsp13(X1,X2))), file('vectsp13/vectsp13__t27_vectsp13', t27_vectsp13)).
fof(fc4_vectsp13, axiom, ![X1, X2]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>((((v13_algstr_0(k8_vectsp13(X1,X2))&v2_rlvect_1(k8_vectsp13(X1,X2)))&v3_rlvect_1(k8_vectsp13(X1,X2)))&v4_rlvect_1(k8_vectsp13(X1,X2)))&v7_vectsp_1(k8_vectsp13(X1,X2),X1))), file('vectsp13/vectsp13__t27_vectsp13', fc4_vectsp13)).
fof(dt_k8_vectsp13, axiom, ![X1, X2]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>(v7_vectsp_1(k8_vectsp13(X1,X2),X1)&l1_vectsp_1(k8_vectsp13(X1,X2),X1))), file('vectsp13/vectsp13__t27_vectsp13', dt_k8_vectsp13)).
fof(fc6_vectsp13, axiom, ![X1, X2]:(((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>(v7_vectsp_1(k8_vectsp13(X1,X2),X1)&v11_vectsp_1(k8_vectsp13(X1,X2),X1))), file('vectsp13/vectsp13__t27_vectsp13', fc6_vectsp13)).
fof(fc5_vectsp13, axiom, ![X1, X2]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>(((v7_vectsp_1(k8_vectsp13(X1,X2),X1)&v8_vectsp_1(k8_vectsp13(X1,X2),X1))&v9_vectsp_1(k8_vectsp13(X1,X2),X1))&v10_vectsp_1(k8_vectsp13(X1,X2),X1))), file('vectsp13/vectsp13__t27_vectsp13', fc5_vectsp13)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('vectsp13/vectsp13__t27_vectsp13', t1_subset)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('vectsp13/vectsp13__t27_vectsp13', redefinition_r2_tarski)).
fof(dt_k1_vectsp_7, axiom, ![X1, X2, X3]:((((((((((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~(v2_struct_0(X2)))&v13_algstr_0(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l1_vectsp_1(X2,X1))&m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))))=>(v7_vectsp_1(k1_vectsp_7(X1,X2,X3),X1)&m1_vectsp_4(k1_vectsp_7(X1,X2,X3),X1,X2))), file('vectsp13/vectsp13__t27_vectsp13', dt_k1_vectsp_7)).
fof(l49_vectsp13, axiom, ![X1]:(((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(m1_subset_1(X3,u1_struct_0(k8_vectsp13(X1,X2)))=>?[X4]:(m2_vectsp_6(X4,X1,k8_vectsp13(X1,X2),k10_vectsp13(X1,X2))&k4_vectsp_6(X1,k8_vectsp13(X1,X2),X4)=X3)))), file('vectsp13/vectsp13__t27_vectsp13', l49_vectsp13)).
fof(d3_tarski, axiom, ![X1, X2]:(r1_tarski(X1,X2)<=>![X3]:(r2_hidden(X3,X1)=>r2_hidden(X3,X2))), file('vectsp13/vectsp13__t27_vectsp13', d3_tarski)).
fof(fraenkel_a_3_0_vectsp_7, axiom, ![X1, X2, X3, X4]:((((((((((((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&l6_algstr_0(X2))&~(v2_struct_0(X3)))&v13_algstr_0(X3))&v8_vectsp_1(X3,X2))&v9_vectsp_1(X3,X2))&v10_vectsp_1(X3,X2))&v11_vectsp_1(X3,X2))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&l1_vectsp_1(X3,X2))&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))))=>(r2_hidden(X1,a_3_0_vectsp_7(X2,X3,X4))<=>?[X5]:(m2_vectsp_6(X5,X2,X3,X4)&X1=k4_vectsp_6(X2,X3,X5)))), file('vectsp13/vectsp13__t27_vectsp13', fraenkel_a_3_0_vectsp_7)).
fof(d2_vectsp_4, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l1_vectsp_1(X2,X1))=>![X3]:((((((((((~(v2_struct_0(X3))&v13_algstr_0(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&l1_vectsp_1(X3,X1))=>(m1_vectsp_4(X3,X1,X2)<=>(((r1_tarski(u1_struct_0(X3),u1_struct_0(X2))&k4_struct_0(X3)=k4_struct_0(X2))&u1_algstr_0(X3)=k1_realset1(u1_algstr_0(X2),u1_struct_0(X3)))&u1_vectsp_1(X1,X3)=k5_relat_1(u1_vectsp_1(X1,X2),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X3)))))))), file('vectsp13/vectsp13__t27_vectsp13', d2_vectsp_4)).
fof(dt_m1_vectsp_4, axiom, ![X1, X2]:(((((((((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~(v2_struct_0(X2)))&v13_algstr_0(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l1_vectsp_1(X2,X1))=>![X3]:(m1_vectsp_4(X3,X1,X2)=>(((((((((~(v2_struct_0(X3))&v13_algstr_0(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&l1_vectsp_1(X3,X1)))), file('vectsp13/vectsp13__t27_vectsp13', dt_m1_vectsp_4)).
fof(d2_vectsp_7, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l1_vectsp_1(X2,X1))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))=>![X4]:((v7_vectsp_1(X4,X1)&m1_vectsp_4(X4,X1,X2))=>(X4=k1_vectsp_7(X1,X2,X3)<=>u1_struct_0(X4)=a_3_0_vectsp_7(X1,X2,X3)))))), file('vectsp13/vectsp13__t27_vectsp13', d2_vectsp_7)).
fof(t31_vectsp_4, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v7_vectsp_1(X2,X1))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l1_vectsp_1(X2,X1))=>![X3]:((v7_vectsp_1(X3,X1)&m1_vectsp_4(X3,X1,X2))=>(u1_struct_0(X3)=u1_struct_0(X2)=>X3=X2)))), file('vectsp13/vectsp13__t27_vectsp13', t31_vectsp_4)).
fof(d10_xboole_0, axiom, ![X1, X2]:(X1=X2<=>(r1_tarski(X1,X2)&r1_tarski(X2,X1))), file('vectsp13/vectsp13__t27_vectsp13', d10_xboole_0)).
fof(fc3_vectsp13, axiom, ![X1, X2]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>(~(v2_struct_0(k8_vectsp13(X1,X2)))&v7_vectsp_1(k8_vectsp13(X1,X2),X1))), file('vectsp13/vectsp13__t27_vectsp13', fc3_vectsp13)).
fof(c_0_18, plain, ![X1, X2]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>m1_subset_1(k10_vectsp13(X1,X2),k1_zfmisc_1(u1_struct_0(k8_vectsp13(X1,X2))))), inference(fof_simplification,[status(thm)],[dt_k10_vectsp13])).
fof(c_0_19, negated_conjecture, ~(![X1]:(((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>k1_vectsp_7(X1,k8_vectsp13(X1,X2),k10_vectsp13(X1,X2))=k8_vectsp13(X1,X2)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t27_vectsp13])])).
fof(c_0_20, plain, ![X1, X2]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>((((v13_algstr_0(k8_vectsp13(X1,X2))&v2_rlvect_1(k8_vectsp13(X1,X2)))&v3_rlvect_1(k8_vectsp13(X1,X2)))&v4_rlvect_1(k8_vectsp13(X1,X2)))&v7_vectsp_1(k8_vectsp13(X1,X2),X1))), inference(fof_simplification,[status(thm)],[fc4_vectsp13])).
fof(c_0_21, plain, ![X69, X70]:(v2_struct_0(X69)|~v13_algstr_0(X69)|~v2_rlvect_1(X69)|~v3_rlvect_1(X69)|~v4_rlvect_1(X69)|~v4_vectsp_1(X69)|~v5_vectsp_1(X69)|~v3_group_1(X69)|~l6_algstr_0(X69)|~v7_ordinal1(X70)|m1_subset_1(k10_vectsp13(X69,X70),k1_zfmisc_1(u1_struct_0(k8_vectsp13(X69,X70))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])).
fof(c_0_22, negated_conjecture, (((((((((((~v2_struct_0(esk1_0)&~v6_struct_0(esk1_0))&v13_algstr_0(esk1_0))&v2_rlvect_1(esk1_0))&v3_rlvect_1(esk1_0))&v4_rlvect_1(esk1_0))&v4_vectsp_1(esk1_0))&v5_vectsp_1(esk1_0))&v3_group_1(esk1_0))&v5_group_1(esk1_0))&l6_algstr_0(esk1_0))&(v7_ordinal1(esk2_0)&k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0))!=k8_vectsp13(esk1_0,esk2_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
fof(c_0_23, plain, ![X81, X82]:(((((v13_algstr_0(k8_vectsp13(X81,X82))|(v2_struct_0(X81)|~v13_algstr_0(X81)|~v2_rlvect_1(X81)|~v3_rlvect_1(X81)|~v4_rlvect_1(X81)|~v4_vectsp_1(X81)|~v5_vectsp_1(X81)|~v3_group_1(X81)|~l6_algstr_0(X81)|~v7_ordinal1(X82)))&(v2_rlvect_1(k8_vectsp13(X81,X82))|(v2_struct_0(X81)|~v13_algstr_0(X81)|~v2_rlvect_1(X81)|~v3_rlvect_1(X81)|~v4_rlvect_1(X81)|~v4_vectsp_1(X81)|~v5_vectsp_1(X81)|~v3_group_1(X81)|~l6_algstr_0(X81)|~v7_ordinal1(X82))))&(v3_rlvect_1(k8_vectsp13(X81,X82))|(v2_struct_0(X81)|~v13_algstr_0(X81)|~v2_rlvect_1(X81)|~v3_rlvect_1(X81)|~v4_rlvect_1(X81)|~v4_vectsp_1(X81)|~v5_vectsp_1(X81)|~v3_group_1(X81)|~l6_algstr_0(X81)|~v7_ordinal1(X82))))&(v4_rlvect_1(k8_vectsp13(X81,X82))|(v2_struct_0(X81)|~v13_algstr_0(X81)|~v2_rlvect_1(X81)|~v3_rlvect_1(X81)|~v4_rlvect_1(X81)|~v4_vectsp_1(X81)|~v5_vectsp_1(X81)|~v3_group_1(X81)|~l6_algstr_0(X81)|~v7_ordinal1(X82))))&(v7_vectsp_1(k8_vectsp13(X81,X82),X81)|(v2_struct_0(X81)|~v13_algstr_0(X81)|~v2_rlvect_1(X81)|~v3_rlvect_1(X81)|~v4_rlvect_1(X81)|~v4_vectsp_1(X81)|~v5_vectsp_1(X81)|~v3_group_1(X81)|~l6_algstr_0(X81)|~v7_ordinal1(X82)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])).
fof(c_0_24, plain, ![X1, X2]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>(v7_vectsp_1(k8_vectsp13(X1,X2),X1)&l1_vectsp_1(k8_vectsp13(X1,X2),X1))), inference(fof_simplification,[status(thm)],[dt_k8_vectsp13])).
fof(c_0_25, plain, ![X1, X2]:(((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>(v7_vectsp_1(k8_vectsp13(X1,X2),X1)&v11_vectsp_1(k8_vectsp13(X1,X2),X1))), inference(fof_simplification,[status(thm)],[fc6_vectsp13])).
fof(c_0_26, plain, ![X1, X2]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>(((v7_vectsp_1(k8_vectsp13(X1,X2),X1)&v8_vectsp_1(k8_vectsp13(X1,X2),X1))&v9_vectsp_1(k8_vectsp13(X1,X2),X1))&v10_vectsp_1(k8_vectsp13(X1,X2),X1))), inference(fof_simplification,[status(thm)],[fc5_vectsp13])).
fof(c_0_27, plain, ![X99, X100]:(~r2_tarski(X99,X100)|m1_subset_1(X99,X100)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
fof(c_0_28, plain, ![X97, X98]:((~r2_tarski(X97,X98)|r2_hidden(X97,X98))&(~r2_hidden(X97,X98)|r2_tarski(X97,X98))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_29, plain, ![X1, X2, X3]:((((((((((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~v2_struct_0(X2))&v13_algstr_0(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l1_vectsp_1(X2,X1))&m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))))=>(v7_vectsp_1(k1_vectsp_7(X1,X2,X3),X1)&m1_vectsp_4(k1_vectsp_7(X1,X2,X3),X1,X2))), inference(fof_simplification,[status(thm)],[dt_k1_vectsp_7])).
cnf(c_0_30, plain, (v2_struct_0(X1)|m1_subset_1(k10_vectsp13(X1,X2),k1_zfmisc_1(u1_struct_0(k8_vectsp13(X1,X2))))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_31, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_32, plain, (v4_rlvect_1(k8_vectsp13(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_33, plain, (v3_rlvect_1(k8_vectsp13(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_34, plain, (v2_rlvect_1(k8_vectsp13(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_35, plain, (v13_algstr_0(k8_vectsp13(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_36, plain, ![X74, X75]:((v7_vectsp_1(k8_vectsp13(X74,X75),X74)|(v2_struct_0(X74)|~v13_algstr_0(X74)|~v2_rlvect_1(X74)|~v3_rlvect_1(X74)|~v4_rlvect_1(X74)|~v4_vectsp_1(X74)|~v5_vectsp_1(X74)|~v3_group_1(X74)|~l6_algstr_0(X74)|~v7_ordinal1(X75)))&(l1_vectsp_1(k8_vectsp13(X74,X75),X74)|(v2_struct_0(X74)|~v13_algstr_0(X74)|~v2_rlvect_1(X74)|~v3_rlvect_1(X74)|~v4_rlvect_1(X74)|~v4_vectsp_1(X74)|~v5_vectsp_1(X74)|~v3_group_1(X74)|~l6_algstr_0(X74)|~v7_ordinal1(X75)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])).
fof(c_0_37, plain, ![X85, X86]:((v7_vectsp_1(k8_vectsp13(X85,X86),X85)|(v2_struct_0(X85)|~v13_algstr_0(X85)|~v2_rlvect_1(X85)|~v3_rlvect_1(X85)|~v4_rlvect_1(X85)|~v4_vectsp_1(X85)|~v5_vectsp_1(X85)|~v3_group_1(X85)|~v5_group_1(X85)|~l6_algstr_0(X85)|~v7_ordinal1(X86)))&(v11_vectsp_1(k8_vectsp13(X85,X86),X85)|(v2_struct_0(X85)|~v13_algstr_0(X85)|~v2_rlvect_1(X85)|~v3_rlvect_1(X85)|~v4_rlvect_1(X85)|~v4_vectsp_1(X85)|~v5_vectsp_1(X85)|~v3_group_1(X85)|~v5_group_1(X85)|~l6_algstr_0(X85)|~v7_ordinal1(X86)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])).
fof(c_0_38, plain, ![X83, X84]:((((v7_vectsp_1(k8_vectsp13(X83,X84),X83)|(v2_struct_0(X83)|~v13_algstr_0(X83)|~v2_rlvect_1(X83)|~v3_rlvect_1(X83)|~v4_rlvect_1(X83)|~v4_vectsp_1(X83)|~v5_vectsp_1(X83)|~v3_group_1(X83)|~l6_algstr_0(X83)|~v7_ordinal1(X84)))&(v8_vectsp_1(k8_vectsp13(X83,X84),X83)|(v2_struct_0(X83)|~v13_algstr_0(X83)|~v2_rlvect_1(X83)|~v3_rlvect_1(X83)|~v4_rlvect_1(X83)|~v4_vectsp_1(X83)|~v5_vectsp_1(X83)|~v3_group_1(X83)|~l6_algstr_0(X83)|~v7_ordinal1(X84))))&(v9_vectsp_1(k8_vectsp13(X83,X84),X83)|(v2_struct_0(X83)|~v13_algstr_0(X83)|~v2_rlvect_1(X83)|~v3_rlvect_1(X83)|~v4_rlvect_1(X83)|~v4_vectsp_1(X83)|~v5_vectsp_1(X83)|~v3_group_1(X83)|~l6_algstr_0(X83)|~v7_ordinal1(X84))))&(v10_vectsp_1(k8_vectsp13(X83,X84),X83)|(v2_struct_0(X83)|~v13_algstr_0(X83)|~v2_rlvect_1(X83)|~v3_rlvect_1(X83)|~v4_rlvect_1(X83)|~v4_vectsp_1(X83)|~v5_vectsp_1(X83)|~v3_group_1(X83)|~l6_algstr_0(X83)|~v7_ordinal1(X84)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])).
fof(c_0_39, plain, ![X1]:(((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(m1_subset_1(X3,u1_struct_0(k8_vectsp13(X1,X2)))=>?[X4]:(m2_vectsp_6(X4,X1,k8_vectsp13(X1,X2),k10_vectsp13(X1,X2))&k4_vectsp_6(X1,k8_vectsp13(X1,X2),X4)=X3)))), inference(fof_simplification,[status(thm)],[l49_vectsp13])).
cnf(c_0_40, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_41, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_42, plain, ![X63, X64, X65, X66, X67]:((~r1_tarski(X63,X64)|(~r2_hidden(X65,X63)|r2_hidden(X65,X64)))&((r2_hidden(esk3_2(X66,X67),X66)|r1_tarski(X66,X67))&(~r2_hidden(esk3_2(X66,X67),X67)|r1_tarski(X66,X67)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])).
fof(c_0_43, plain, ![X1]:(epred1_1(X1)<=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l1_vectsp_1(X2,X1))=>![X3]:((((((((((~v2_struct_0(X3)&v13_algstr_0(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&l1_vectsp_1(X3,X1))=>(m1_vectsp_4(X3,X1,X2)<=>(((r1_tarski(u1_struct_0(X3),u1_struct_0(X2))&k4_struct_0(X3)=k4_struct_0(X2))&u1_algstr_0(X3)=k1_realset1(u1_algstr_0(X2),u1_struct_0(X3)))&u1_vectsp_1(X1,X3)=k5_relat_1(u1_vectsp_1(X1,X2),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X3)))))))), introduced(definition)).
fof(c_0_44, plain, ![X71, X72, X73]:((v7_vectsp_1(k1_vectsp_7(X71,X72,X73),X71)|(v2_struct_0(X71)|~v13_algstr_0(X71)|~v4_vectsp_1(X71)|~v5_vectsp_1(X71)|~v2_rlvect_1(X71)|~v3_rlvect_1(X71)|~v4_rlvect_1(X71)|~v3_group_1(X71)|~l6_algstr_0(X71)|v2_struct_0(X72)|~v13_algstr_0(X72)|~v8_vectsp_1(X72,X71)|~v9_vectsp_1(X72,X71)|~v10_vectsp_1(X72,X71)|~v11_vectsp_1(X72,X71)|~v2_rlvect_1(X72)|~v3_rlvect_1(X72)|~v4_rlvect_1(X72)|~l1_vectsp_1(X72,X71)|~m1_subset_1(X73,k1_zfmisc_1(u1_struct_0(X72)))))&(m1_vectsp_4(k1_vectsp_7(X71,X72,X73),X71,X72)|(v2_struct_0(X71)|~v13_algstr_0(X71)|~v4_vectsp_1(X71)|~v5_vectsp_1(X71)|~v2_rlvect_1(X71)|~v3_rlvect_1(X71)|~v4_rlvect_1(X71)|~v3_group_1(X71)|~l6_algstr_0(X71)|v2_struct_0(X72)|~v13_algstr_0(X72)|~v8_vectsp_1(X72,X71)|~v9_vectsp_1(X72,X71)|~v10_vectsp_1(X72,X71)|~v11_vectsp_1(X72,X71)|~v2_rlvect_1(X72)|~v3_rlvect_1(X72)|~v4_rlvect_1(X72)|~l1_vectsp_1(X72,X71)|~m1_subset_1(X73,k1_zfmisc_1(u1_struct_0(X72)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])).
cnf(c_0_45, negated_conjecture, (m1_subset_1(k10_vectsp13(X1,esk2_0),k1_zfmisc_1(u1_struct_0(k8_vectsp13(X1,esk2_0))))|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_46, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_47, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_48, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_49, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_50, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_51, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_52, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_53, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_54, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_55, negated_conjecture, (v4_rlvect_1(k8_vectsp13(X1,esk2_0))|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_32, c_0_31])).
cnf(c_0_56, negated_conjecture, (v3_rlvect_1(k8_vectsp13(X1,esk2_0))|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_33, c_0_31])).
cnf(c_0_57, negated_conjecture, (v2_rlvect_1(k8_vectsp13(X1,esk2_0))|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_34, c_0_31])).
cnf(c_0_58, negated_conjecture, (v13_algstr_0(k8_vectsp13(X1,esk2_0))|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_35, c_0_31])).
cnf(c_0_59, plain, (l1_vectsp_1(k8_vectsp13(X1,X2),X1)|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_60, plain, (v11_vectsp_1(k8_vectsp13(X1,X2),X1)|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_61, plain, (v10_vectsp_1(k8_vectsp13(X1,X2),X1)|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_62, plain, (v9_vectsp_1(k8_vectsp13(X1,X2),X1)|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_63, plain, (v8_vectsp_1(k8_vectsp13(X1,X2),X1)|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_38])).
fof(c_0_64, plain, ![X1, X2, X3, X4]:((((((((((((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&l6_algstr_0(X2))&~v2_struct_0(X3))&v13_algstr_0(X3))&v8_vectsp_1(X3,X2))&v9_vectsp_1(X3,X2))&v10_vectsp_1(X3,X2))&v11_vectsp_1(X3,X2))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&l1_vectsp_1(X3,X2))&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))))=>(r2_hidden(X1,a_3_0_vectsp_7(X2,X3,X4))<=>?[X5]:(m2_vectsp_6(X5,X2,X3,X4)&X1=k4_vectsp_6(X2,X3,X5)))), inference(fof_simplification,[status(thm)],[fraenkel_a_3_0_vectsp_7])).
fof(c_0_65, plain, ![X93, X94, X95]:((m2_vectsp_6(esk5_3(X93,X94,X95),X93,k8_vectsp13(X93,X94),k10_vectsp13(X93,X94))|~m1_subset_1(X95,u1_struct_0(k8_vectsp13(X93,X94)))|~v7_ordinal1(X94)|(v2_struct_0(X93)|v6_struct_0(X93)|~v13_algstr_0(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v3_group_1(X93)|~v5_group_1(X93)|~l6_algstr_0(X93)))&(k4_vectsp_6(X93,k8_vectsp13(X93,X94),esk5_3(X93,X94,X95))=X95|~m1_subset_1(X95,u1_struct_0(k8_vectsp13(X93,X94)))|~v7_ordinal1(X94)|(v2_struct_0(X93)|v6_struct_0(X93)|~v13_algstr_0(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v3_group_1(X93)|~v5_group_1(X93)|~l6_algstr_0(X93)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])])).
cnf(c_0_66, plain, (m1_subset_1(X1,X2)|~r2_hidden(X1,X2)), inference(spm,[status(thm)],[c_0_40, c_0_41])).
cnf(c_0_67, plain, (r2_hidden(esk3_2(X1,X2),X1)|r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_42])).
fof(c_0_68, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>epred1_1(X1)), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[d2_vectsp_4]), c_0_43])).
fof(c_0_69, plain, ![X1, X2]:(((((((((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~v2_struct_0(X2))&v13_algstr_0(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l1_vectsp_1(X2,X1))=>![X3]:(m1_vectsp_4(X3,X1,X2)=>(((((((((~v2_struct_0(X3)&v13_algstr_0(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&l1_vectsp_1(X3,X1)))), inference(fof_simplification,[status(thm)],[dt_m1_vectsp_4])).
cnf(c_0_70, plain, (m1_vectsp_4(k1_vectsp_7(X1,X2,X3),X1,X2)|v2_struct_0(X1)|v2_struct_0(X2)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v8_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l1_vectsp_1(X2,X1)|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_71, negated_conjecture, (m1_subset_1(k10_vectsp13(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(k8_vectsp13(esk1_0,esk2_0))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
cnf(c_0_72, negated_conjecture, (v4_rlvect_1(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
cnf(c_0_73, negated_conjecture, (v3_rlvect_1(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
cnf(c_0_74, negated_conjecture, (v2_rlvect_1(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
cnf(c_0_75, negated_conjecture, (v13_algstr_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
cnf(c_0_76, negated_conjecture, (l1_vectsp_1(k8_vectsp13(X1,esk2_0),X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_59, c_0_31])).
cnf(c_0_77, negated_conjecture, (v11_vectsp_1(k8_vectsp13(X1,esk2_0),X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_60, c_0_31])).
cnf(c_0_78, negated_conjecture, (v5_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_79, negated_conjecture, (v10_vectsp_1(k8_vectsp13(X1,esk2_0),X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_61, c_0_31])).
cnf(c_0_80, negated_conjecture, (v9_vectsp_1(k8_vectsp13(X1,esk2_0),X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_62, c_0_31])).
cnf(c_0_81, negated_conjecture, (v8_vectsp_1(k8_vectsp13(X1,esk2_0),X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_63, c_0_31])).
fof(c_0_82, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l1_vectsp_1(X2,X1))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))=>![X4]:((v7_vectsp_1(X4,X1)&m1_vectsp_4(X4,X1,X2))=>(X4=k1_vectsp_7(X1,X2,X3)<=>u1_struct_0(X4)=a_3_0_vectsp_7(X1,X2,X3)))))), inference(fof_simplification,[status(thm)],[d2_vectsp_7])).
fof(c_0_83, plain, ![X87, X88, X89, X90, X92]:(((m2_vectsp_6(esk4_4(X87,X88,X89,X90),X88,X89,X90)|~r2_hidden(X87,a_3_0_vectsp_7(X88,X89,X90))|(v2_struct_0(X88)|~v13_algstr_0(X88)|~v4_vectsp_1(X88)|~v5_vectsp_1(X88)|~v2_rlvect_1(X88)|~v3_rlvect_1(X88)|~v4_rlvect_1(X88)|~v3_group_1(X88)|~l6_algstr_0(X88)|v2_struct_0(X89)|~v13_algstr_0(X89)|~v8_vectsp_1(X89,X88)|~v9_vectsp_1(X89,X88)|~v10_vectsp_1(X89,X88)|~v11_vectsp_1(X89,X88)|~v2_rlvect_1(X89)|~v3_rlvect_1(X89)|~v4_rlvect_1(X89)|~l1_vectsp_1(X89,X88)|~m1_subset_1(X90,k1_zfmisc_1(u1_struct_0(X89)))))&(X87=k4_vectsp_6(X88,X89,esk4_4(X87,X88,X89,X90))|~r2_hidden(X87,a_3_0_vectsp_7(X88,X89,X90))|(v2_struct_0(X88)|~v13_algstr_0(X88)|~v4_vectsp_1(X88)|~v5_vectsp_1(X88)|~v2_rlvect_1(X88)|~v3_rlvect_1(X88)|~v4_rlvect_1(X88)|~v3_group_1(X88)|~l6_algstr_0(X88)|v2_struct_0(X89)|~v13_algstr_0(X89)|~v8_vectsp_1(X89,X88)|~v9_vectsp_1(X89,X88)|~v10_vectsp_1(X89,X88)|~v11_vectsp_1(X89,X88)|~v2_rlvect_1(X89)|~v3_rlvect_1(X89)|~v4_rlvect_1(X89)|~l1_vectsp_1(X89,X88)|~m1_subset_1(X90,k1_zfmisc_1(u1_struct_0(X89))))))&(~m2_vectsp_6(X92,X88,X89,X90)|X87!=k4_vectsp_6(X88,X89,X92)|r2_hidden(X87,a_3_0_vectsp_7(X88,X89,X90))|(v2_struct_0(X88)|~v13_algstr_0(X88)|~v4_vectsp_1(X88)|~v5_vectsp_1(X88)|~v2_rlvect_1(X88)|~v3_rlvect_1(X88)|~v4_rlvect_1(X88)|~v3_group_1(X88)|~l6_algstr_0(X88)|v2_struct_0(X89)|~v13_algstr_0(X89)|~v8_vectsp_1(X89,X88)|~v9_vectsp_1(X89,X88)|~v10_vectsp_1(X89,X88)|~v11_vectsp_1(X89,X88)|~v2_rlvect_1(X89)|~v3_rlvect_1(X89)|~v4_rlvect_1(X89)|~l1_vectsp_1(X89,X88)|~m1_subset_1(X90,k1_zfmisc_1(u1_struct_0(X89)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])])])])).
cnf(c_0_84, plain, (m2_vectsp_6(esk5_3(X1,X2,X3),X1,k8_vectsp13(X1,X2),k10_vectsp13(X1,X2))|v2_struct_0(X1)|v6_struct_0(X1)|~m1_subset_1(X3,u1_struct_0(k8_vectsp13(X1,X2)))|~v7_ordinal1(X2)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_85, plain, (m1_subset_1(esk3_2(X1,X2),X1)|r1_tarski(X1,X2)), inference(spm,[status(thm)],[c_0_66, c_0_67])).
fof(c_0_86, plain, ![X1]:(epred1_1(X1)=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l1_vectsp_1(X2,X1))=>![X3]:((((((((((~v2_struct_0(X3)&v13_algstr_0(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&l1_vectsp_1(X3,X1))=>(m1_vectsp_4(X3,X1,X2)<=>(((r1_tarski(u1_struct_0(X3),u1_struct_0(X2))&k4_struct_0(X3)=k4_struct_0(X2))&u1_algstr_0(X3)=k1_realset1(u1_algstr_0(X2),u1_struct_0(X3)))&u1_vectsp_1(X1,X3)=k5_relat_1(u1_vectsp_1(X1,X2),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X3)))))))), inference(split_equiv,[status(thm)],[c_0_43])).
fof(c_0_87, plain, ![X58]:(v2_struct_0(X58)|~v13_algstr_0(X58)|~v4_vectsp_1(X58)|~v5_vectsp_1(X58)|~v2_rlvect_1(X58)|~v3_rlvect_1(X58)|~v4_rlvect_1(X58)|~v3_group_1(X58)|~l6_algstr_0(X58)|epred1_1(X58)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])).
fof(c_0_88, plain, ![X76, X77, X78]:((((((((((~v2_struct_0(X78)|~m1_vectsp_4(X78,X76,X77)|(v2_struct_0(X76)|~v13_algstr_0(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~v3_group_1(X76)|~l6_algstr_0(X76)|v2_struct_0(X77)|~v13_algstr_0(X77)|~v8_vectsp_1(X77,X76)|~v9_vectsp_1(X77,X76)|~v10_vectsp_1(X77,X76)|~v11_vectsp_1(X77,X76)|~v2_rlvect_1(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~l1_vectsp_1(X77,X76)))&(v13_algstr_0(X78)|~m1_vectsp_4(X78,X76,X77)|(v2_struct_0(X76)|~v13_algstr_0(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~v3_group_1(X76)|~l6_algstr_0(X76)|v2_struct_0(X77)|~v13_algstr_0(X77)|~v8_vectsp_1(X77,X76)|~v9_vectsp_1(X77,X76)|~v10_vectsp_1(X77,X76)|~v11_vectsp_1(X77,X76)|~v2_rlvect_1(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~l1_vectsp_1(X77,X76))))&(v8_vectsp_1(X78,X76)|~m1_vectsp_4(X78,X76,X77)|(v2_struct_0(X76)|~v13_algstr_0(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~v3_group_1(X76)|~l6_algstr_0(X76)|v2_struct_0(X77)|~v13_algstr_0(X77)|~v8_vectsp_1(X77,X76)|~v9_vectsp_1(X77,X76)|~v10_vectsp_1(X77,X76)|~v11_vectsp_1(X77,X76)|~v2_rlvect_1(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~l1_vectsp_1(X77,X76))))&(v9_vectsp_1(X78,X76)|~m1_vectsp_4(X78,X76,X77)|(v2_struct_0(X76)|~v13_algstr_0(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~v3_group_1(X76)|~l6_algstr_0(X76)|v2_struct_0(X77)|~v13_algstr_0(X77)|~v8_vectsp_1(X77,X76)|~v9_vectsp_1(X77,X76)|~v10_vectsp_1(X77,X76)|~v11_vectsp_1(X77,X76)|~v2_rlvect_1(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~l1_vectsp_1(X77,X76))))&(v10_vectsp_1(X78,X76)|~m1_vectsp_4(X78,X76,X77)|(v2_struct_0(X76)|~v13_algstr_0(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~v3_group_1(X76)|~l6_algstr_0(X76)|v2_struct_0(X77)|~v13_algstr_0(X77)|~v8_vectsp_1(X77,X76)|~v9_vectsp_1(X77,X76)|~v10_vectsp_1(X77,X76)|~v11_vectsp_1(X77,X76)|~v2_rlvect_1(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~l1_vectsp_1(X77,X76))))&(v11_vectsp_1(X78,X76)|~m1_vectsp_4(X78,X76,X77)|(v2_struct_0(X76)|~v13_algstr_0(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~v3_group_1(X76)|~l6_algstr_0(X76)|v2_struct_0(X77)|~v13_algstr_0(X77)|~v8_vectsp_1(X77,X76)|~v9_vectsp_1(X77,X76)|~v10_vectsp_1(X77,X76)|~v11_vectsp_1(X77,X76)|~v2_rlvect_1(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~l1_vectsp_1(X77,X76))))&(v2_rlvect_1(X78)|~m1_vectsp_4(X78,X76,X77)|(v2_struct_0(X76)|~v13_algstr_0(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~v3_group_1(X76)|~l6_algstr_0(X76)|v2_struct_0(X77)|~v13_algstr_0(X77)|~v8_vectsp_1(X77,X76)|~v9_vectsp_1(X77,X76)|~v10_vectsp_1(X77,X76)|~v11_vectsp_1(X77,X76)|~v2_rlvect_1(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~l1_vectsp_1(X77,X76))))&(v3_rlvect_1(X78)|~m1_vectsp_4(X78,X76,X77)|(v2_struct_0(X76)|~v13_algstr_0(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~v3_group_1(X76)|~l6_algstr_0(X76)|v2_struct_0(X77)|~v13_algstr_0(X77)|~v8_vectsp_1(X77,X76)|~v9_vectsp_1(X77,X76)|~v10_vectsp_1(X77,X76)|~v11_vectsp_1(X77,X76)|~v2_rlvect_1(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~l1_vectsp_1(X77,X76))))&(v4_rlvect_1(X78)|~m1_vectsp_4(X78,X76,X77)|(v2_struct_0(X76)|~v13_algstr_0(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~v3_group_1(X76)|~l6_algstr_0(X76)|v2_struct_0(X77)|~v13_algstr_0(X77)|~v8_vectsp_1(X77,X76)|~v9_vectsp_1(X77,X76)|~v10_vectsp_1(X77,X76)|~v11_vectsp_1(X77,X76)|~v2_rlvect_1(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~l1_vectsp_1(X77,X76))))&(l1_vectsp_1(X78,X76)|~m1_vectsp_4(X78,X76,X77)|(v2_struct_0(X76)|~v13_algstr_0(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~v3_group_1(X76)|~l6_algstr_0(X76)|v2_struct_0(X77)|~v13_algstr_0(X77)|~v8_vectsp_1(X77,X76)|~v9_vectsp_1(X77,X76)|~v10_vectsp_1(X77,X76)|~v11_vectsp_1(X77,X76)|~v2_rlvect_1(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~l1_vectsp_1(X77,X76)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])])).
cnf(c_0_89, negated_conjecture, (m1_vectsp_4(k1_vectsp_7(X1,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)),X1,k8_vectsp13(esk1_0,esk2_0))|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))|v2_struct_0(X1)|~l1_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v11_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v10_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v9_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v8_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75])])).
cnf(c_0_90, negated_conjecture, (l1_vectsp_1(k8_vectsp13(esk1_0,esk2_0),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
cnf(c_0_91, negated_conjecture, (v11_vectsp_1(k8_vectsp13(esk1_0,esk2_0),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_46]), c_0_78]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
cnf(c_0_92, negated_conjecture, (v10_vectsp_1(k8_vectsp13(esk1_0,esk2_0),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
cnf(c_0_93, negated_conjecture, (v9_vectsp_1(k8_vectsp13(esk1_0,esk2_0),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
cnf(c_0_94, negated_conjecture, (v8_vectsp_1(k8_vectsp13(esk1_0,esk2_0),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
fof(c_0_95, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v7_vectsp_1(X2,X1))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l1_vectsp_1(X2,X1))=>![X3]:((v7_vectsp_1(X3,X1)&m1_vectsp_4(X3,X1,X2))=>(u1_struct_0(X3)=u1_struct_0(X2)=>X3=X2)))), inference(fof_simplification,[status(thm)],[t31_vectsp_4])).
cnf(c_0_96, plain, (v7_vectsp_1(k8_vectsp13(X1,X2),X1)|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_97, plain, (v7_vectsp_1(k1_vectsp_7(X1,X2,X3),X1)|v2_struct_0(X1)|v2_struct_0(X2)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v8_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l1_vectsp_1(X2,X1)|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))), inference(split_conjunct,[status(thm)],[c_0_44])).
fof(c_0_98, plain, ![X59, X60, X61, X62]:((X62!=k1_vectsp_7(X59,X60,X61)|u1_struct_0(X62)=a_3_0_vectsp_7(X59,X60,X61)|(~v7_vectsp_1(X62,X59)|~m1_vectsp_4(X62,X59,X60))|~m1_subset_1(X61,k1_zfmisc_1(u1_struct_0(X60)))|(v2_struct_0(X60)|~v13_algstr_0(X60)|~v8_vectsp_1(X60,X59)|~v9_vectsp_1(X60,X59)|~v10_vectsp_1(X60,X59)|~v11_vectsp_1(X60,X59)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~l1_vectsp_1(X60,X59))|(v2_struct_0(X59)|~v13_algstr_0(X59)|~v4_vectsp_1(X59)|~v5_vectsp_1(X59)|~v2_rlvect_1(X59)|~v3_rlvect_1(X59)|~v4_rlvect_1(X59)|~v3_group_1(X59)|~l6_algstr_0(X59)))&(u1_struct_0(X62)!=a_3_0_vectsp_7(X59,X60,X61)|X62=k1_vectsp_7(X59,X60,X61)|(~v7_vectsp_1(X62,X59)|~m1_vectsp_4(X62,X59,X60))|~m1_subset_1(X61,k1_zfmisc_1(u1_struct_0(X60)))|(v2_struct_0(X60)|~v13_algstr_0(X60)|~v8_vectsp_1(X60,X59)|~v9_vectsp_1(X60,X59)|~v10_vectsp_1(X60,X59)|~v11_vectsp_1(X60,X59)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~l1_vectsp_1(X60,X59))|(v2_struct_0(X59)|~v13_algstr_0(X59)|~v4_vectsp_1(X59)|~v5_vectsp_1(X59)|~v2_rlvect_1(X59)|~v3_rlvect_1(X59)|~v4_rlvect_1(X59)|~v3_group_1(X59)|~l6_algstr_0(X59)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])])])).
cnf(c_0_99, plain, (r2_hidden(X5,a_3_0_vectsp_7(X2,X3,X4))|v2_struct_0(X2)|v2_struct_0(X3)|~m2_vectsp_6(X1,X2,X3,X4)|X5!=k4_vectsp_6(X2,X3,X1)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)|~v13_algstr_0(X3)|~v8_vectsp_1(X3,X2)|~v9_vectsp_1(X3,X2)|~v10_vectsp_1(X3,X2)|~v11_vectsp_1(X3,X2)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~l1_vectsp_1(X3,X2)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_100, plain, (m2_vectsp_6(esk5_3(X1,X2,esk3_2(u1_struct_0(k8_vectsp13(X1,X2)),X3)),X1,k8_vectsp13(X1,X2),k10_vectsp13(X1,X2))|r1_tarski(u1_struct_0(k8_vectsp13(X1,X2)),X3)|v6_struct_0(X1)|v2_struct_0(X1)|~v7_ordinal1(X2)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_84, c_0_85])).
cnf(c_0_101, plain, (k4_vectsp_6(X1,k8_vectsp13(X1,X2),esk5_3(X1,X2,X3))=X3|v2_struct_0(X1)|v6_struct_0(X1)|~m1_subset_1(X3,u1_struct_0(k8_vectsp13(X1,X2)))|~v7_ordinal1(X2)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_65])).
fof(c_0_102, plain, ![X104, X105, X106]:(((((r1_tarski(u1_struct_0(X106),u1_struct_0(X105))|~m1_vectsp_4(X106,X104,X105)|(v2_struct_0(X106)|~v13_algstr_0(X106)|~v8_vectsp_1(X106,X104)|~v9_vectsp_1(X106,X104)|~v10_vectsp_1(X106,X104)|~v11_vectsp_1(X106,X104)|~v2_rlvect_1(X106)|~v3_rlvect_1(X106)|~v4_rlvect_1(X106)|~l1_vectsp_1(X106,X104))|(v2_struct_0(X105)|~v13_algstr_0(X105)|~v8_vectsp_1(X105,X104)|~v9_vectsp_1(X105,X104)|~v10_vectsp_1(X105,X104)|~v11_vectsp_1(X105,X104)|~v2_rlvect_1(X105)|~v3_rlvect_1(X105)|~v4_rlvect_1(X105)|~l1_vectsp_1(X105,X104))|~epred1_1(X104))&(k4_struct_0(X106)=k4_struct_0(X105)|~m1_vectsp_4(X106,X104,X105)|(v2_struct_0(X106)|~v13_algstr_0(X106)|~v8_vectsp_1(X106,X104)|~v9_vectsp_1(X106,X104)|~v10_vectsp_1(X106,X104)|~v11_vectsp_1(X106,X104)|~v2_rlvect_1(X106)|~v3_rlvect_1(X106)|~v4_rlvect_1(X106)|~l1_vectsp_1(X106,X104))|(v2_struct_0(X105)|~v13_algstr_0(X105)|~v8_vectsp_1(X105,X104)|~v9_vectsp_1(X105,X104)|~v10_vectsp_1(X105,X104)|~v11_vectsp_1(X105,X104)|~v2_rlvect_1(X105)|~v3_rlvect_1(X105)|~v4_rlvect_1(X105)|~l1_vectsp_1(X105,X104))|~epred1_1(X104)))&(u1_algstr_0(X106)=k1_realset1(u1_algstr_0(X105),u1_struct_0(X106))|~m1_vectsp_4(X106,X104,X105)|(v2_struct_0(X106)|~v13_algstr_0(X106)|~v8_vectsp_1(X106,X104)|~v9_vectsp_1(X106,X104)|~v10_vectsp_1(X106,X104)|~v11_vectsp_1(X106,X104)|~v2_rlvect_1(X106)|~v3_rlvect_1(X106)|~v4_rlvect_1(X106)|~l1_vectsp_1(X106,X104))|(v2_struct_0(X105)|~v13_algstr_0(X105)|~v8_vectsp_1(X105,X104)|~v9_vectsp_1(X105,X104)|~v10_vectsp_1(X105,X104)|~v11_vectsp_1(X105,X104)|~v2_rlvect_1(X105)|~v3_rlvect_1(X105)|~v4_rlvect_1(X105)|~l1_vectsp_1(X105,X104))|~epred1_1(X104)))&(u1_vectsp_1(X104,X106)=k5_relat_1(u1_vectsp_1(X104,X105),k2_zfmisc_1(u1_struct_0(X104),u1_struct_0(X106)))|~m1_vectsp_4(X106,X104,X105)|(v2_struct_0(X106)|~v13_algstr_0(X106)|~v8_vectsp_1(X106,X104)|~v9_vectsp_1(X106,X104)|~v10_vectsp_1(X106,X104)|~v11_vectsp_1(X106,X104)|~v2_rlvect_1(X106)|~v3_rlvect_1(X106)|~v4_rlvect_1(X106)|~l1_vectsp_1(X106,X104))|(v2_struct_0(X105)|~v13_algstr_0(X105)|~v8_vectsp_1(X105,X104)|~v9_vectsp_1(X105,X104)|~v10_vectsp_1(X105,X104)|~v11_vectsp_1(X105,X104)|~v2_rlvect_1(X105)|~v3_rlvect_1(X105)|~v4_rlvect_1(X105)|~l1_vectsp_1(X105,X104))|~epred1_1(X104)))&(~r1_tarski(u1_struct_0(X106),u1_struct_0(X105))|k4_struct_0(X106)!=k4_struct_0(X105)|u1_algstr_0(X106)!=k1_realset1(u1_algstr_0(X105),u1_struct_0(X106))|u1_vectsp_1(X104,X106)!=k5_relat_1(u1_vectsp_1(X104,X105),k2_zfmisc_1(u1_struct_0(X104),u1_struct_0(X106)))|m1_vectsp_4(X106,X104,X105)|(v2_struct_0(X106)|~v13_algstr_0(X106)|~v8_vectsp_1(X106,X104)|~v9_vectsp_1(X106,X104)|~v10_vectsp_1(X106,X104)|~v11_vectsp_1(X106,X104)|~v2_rlvect_1(X106)|~v3_rlvect_1(X106)|~v4_rlvect_1(X106)|~l1_vectsp_1(X106,X104))|(v2_struct_0(X105)|~v13_algstr_0(X105)|~v8_vectsp_1(X105,X104)|~v9_vectsp_1(X105,X104)|~v10_vectsp_1(X105,X104)|~v11_vectsp_1(X105,X104)|~v2_rlvect_1(X105)|~v3_rlvect_1(X105)|~v4_rlvect_1(X105)|~l1_vectsp_1(X105,X104))|~epred1_1(X104))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])])])).
cnf(c_0_103, plain, (v2_struct_0(X1)|epred1_1(X1)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_87])).
cnf(c_0_104, plain, (v13_algstr_0(X1)|v2_struct_0(X2)|v2_struct_0(X3)|~m1_vectsp_4(X1,X2,X3)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)|~v13_algstr_0(X3)|~v8_vectsp_1(X3,X2)|~v9_vectsp_1(X3,X2)|~v10_vectsp_1(X3,X2)|~v11_vectsp_1(X3,X2)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~l1_vectsp_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_105, negated_conjecture, (m1_vectsp_4(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)),esk1_0,k8_vectsp13(esk1_0,esk2_0))|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
cnf(c_0_106, plain, (v2_rlvect_1(X1)|v2_struct_0(X2)|v2_struct_0(X3)|~m1_vectsp_4(X1,X2,X3)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)|~v13_algstr_0(X3)|~v8_vectsp_1(X3,X2)|~v9_vectsp_1(X3,X2)|~v10_vectsp_1(X3,X2)|~v11_vectsp_1(X3,X2)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~l1_vectsp_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_107, plain, (v3_rlvect_1(X1)|v2_struct_0(X2)|v2_struct_0(X3)|~m1_vectsp_4(X1,X2,X3)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)|~v13_algstr_0(X3)|~v8_vectsp_1(X3,X2)|~v9_vectsp_1(X3,X2)|~v10_vectsp_1(X3,X2)|~v11_vectsp_1(X3,X2)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~l1_vectsp_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_108, plain, (v4_rlvect_1(X1)|v2_struct_0(X2)|v2_struct_0(X3)|~m1_vectsp_4(X1,X2,X3)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)|~v13_algstr_0(X3)|~v8_vectsp_1(X3,X2)|~v9_vectsp_1(X3,X2)|~v10_vectsp_1(X3,X2)|~v11_vectsp_1(X3,X2)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~l1_vectsp_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_109, plain, (v8_vectsp_1(X1,X2)|v2_struct_0(X2)|v2_struct_0(X3)|~m1_vectsp_4(X1,X2,X3)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)|~v13_algstr_0(X3)|~v8_vectsp_1(X3,X2)|~v9_vectsp_1(X3,X2)|~v10_vectsp_1(X3,X2)|~v11_vectsp_1(X3,X2)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~l1_vectsp_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_110, plain, (v9_vectsp_1(X1,X2)|v2_struct_0(X2)|v2_struct_0(X3)|~m1_vectsp_4(X1,X2,X3)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)|~v13_algstr_0(X3)|~v8_vectsp_1(X3,X2)|~v9_vectsp_1(X3,X2)|~v10_vectsp_1(X3,X2)|~v11_vectsp_1(X3,X2)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~l1_vectsp_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_111, plain, (v10_vectsp_1(X1,X2)|v2_struct_0(X2)|v2_struct_0(X3)|~m1_vectsp_4(X1,X2,X3)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)|~v13_algstr_0(X3)|~v8_vectsp_1(X3,X2)|~v9_vectsp_1(X3,X2)|~v10_vectsp_1(X3,X2)|~v11_vectsp_1(X3,X2)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~l1_vectsp_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_112, plain, (v11_vectsp_1(X1,X2)|v2_struct_0(X2)|v2_struct_0(X3)|~m1_vectsp_4(X1,X2,X3)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)|~v13_algstr_0(X3)|~v8_vectsp_1(X3,X2)|~v9_vectsp_1(X3,X2)|~v10_vectsp_1(X3,X2)|~v11_vectsp_1(X3,X2)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~l1_vectsp_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_113, plain, (l1_vectsp_1(X1,X2)|v2_struct_0(X2)|v2_struct_0(X3)|~m1_vectsp_4(X1,X2,X3)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)|~v13_algstr_0(X3)|~v8_vectsp_1(X3,X2)|~v9_vectsp_1(X3,X2)|~v10_vectsp_1(X3,X2)|~v11_vectsp_1(X3,X2)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~l1_vectsp_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_114, plain, (v2_struct_0(X2)|v2_struct_0(X3)|~v2_struct_0(X1)|~m1_vectsp_4(X1,X2,X3)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)|~v13_algstr_0(X3)|~v8_vectsp_1(X3,X2)|~v9_vectsp_1(X3,X2)|~v10_vectsp_1(X3,X2)|~v11_vectsp_1(X3,X2)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~l1_vectsp_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
fof(c_0_115, plain, ![X101, X102, X103]:(v2_struct_0(X101)|~v13_algstr_0(X101)|~v4_vectsp_1(X101)|~v5_vectsp_1(X101)|~v2_rlvect_1(X101)|~v3_rlvect_1(X101)|~v4_rlvect_1(X101)|~v3_group_1(X101)|~l6_algstr_0(X101)|(v2_struct_0(X102)|~v13_algstr_0(X102)|~v7_vectsp_1(X102,X101)|~v8_vectsp_1(X102,X101)|~v9_vectsp_1(X102,X101)|~v10_vectsp_1(X102,X101)|~v11_vectsp_1(X102,X101)|~v2_rlvect_1(X102)|~v3_rlvect_1(X102)|~v4_rlvect_1(X102)|~l1_vectsp_1(X102,X101)|(~v7_vectsp_1(X103,X101)|~m1_vectsp_4(X103,X101,X102)|(u1_struct_0(X103)!=u1_struct_0(X102)|X103=X102)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])])).
cnf(c_0_116, negated_conjecture, (v7_vectsp_1(k8_vectsp13(X1,esk2_0),X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_96, c_0_31])).
cnf(c_0_117, negated_conjecture, (v7_vectsp_1(k1_vectsp_7(X1,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)),X1)|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))|v2_struct_0(X1)|~l1_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v11_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v10_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v9_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v8_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75])])).
cnf(c_0_118, plain, (u1_struct_0(X1)=a_3_0_vectsp_7(X2,X3,X4)|v2_struct_0(X3)|v2_struct_0(X2)|X1!=k1_vectsp_7(X2,X3,X4)|~v7_vectsp_1(X1,X2)|~m1_vectsp_4(X1,X2,X3)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))|~v13_algstr_0(X3)|~v8_vectsp_1(X3,X2)|~v9_vectsp_1(X3,X2)|~v10_vectsp_1(X3,X2)|~v11_vectsp_1(X3,X2)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~l1_vectsp_1(X3,X2)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_98])).
cnf(c_0_119, plain, (r2_hidden(k4_vectsp_6(X1,X2,X3),a_3_0_vectsp_7(X1,X2,X4))|v2_struct_0(X2)|v2_struct_0(X1)|~m2_vectsp_6(X3,X1,X2,X4)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))|~l1_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v8_vectsp_1(X2,X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v13_algstr_0(X2)|~v13_algstr_0(X1)), inference(er,[status(thm)],[c_0_99])).
cnf(c_0_120, negated_conjecture, (m2_vectsp_6(esk5_3(X1,esk2_0,esk3_2(u1_struct_0(k8_vectsp13(X1,esk2_0)),X2)),X1,k8_vectsp13(X1,esk2_0),k10_vectsp13(X1,esk2_0))|r1_tarski(u1_struct_0(k8_vectsp13(X1,esk2_0)),X2)|v6_struct_0(X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_100, c_0_31])).
cnf(c_0_121, negated_conjecture, (~v6_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_122, plain, (k4_vectsp_6(X1,k8_vectsp13(X1,X2),esk5_3(X1,X2,esk3_2(u1_struct_0(k8_vectsp13(X1,X2)),X3)))=esk3_2(u1_struct_0(k8_vectsp13(X1,X2)),X3)|r1_tarski(u1_struct_0(k8_vectsp13(X1,X2)),X3)|v6_struct_0(X1)|v2_struct_0(X1)|~v7_ordinal1(X2)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_101, c_0_85])).
fof(c_0_123, plain, ![X56, X57]:(((r1_tarski(X56,X57)|X56!=X57)&(r1_tarski(X57,X56)|X56!=X57))&(~r1_tarski(X56,X57)|~r1_tarski(X57,X56)|X56=X57)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])).
cnf(c_0_124, plain, (r1_tarski(u1_struct_0(X1),u1_struct_0(X2))|v2_struct_0(X1)|v2_struct_0(X2)|~m1_vectsp_4(X1,X3,X2)|~v13_algstr_0(X1)|~v8_vectsp_1(X1,X3)|~v9_vectsp_1(X1,X3)|~v10_vectsp_1(X1,X3)|~v11_vectsp_1(X1,X3)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~l1_vectsp_1(X1,X3)|~v13_algstr_0(X2)|~v8_vectsp_1(X2,X3)|~v9_vectsp_1(X2,X3)|~v10_vectsp_1(X2,X3)|~v11_vectsp_1(X2,X3)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l1_vectsp_1(X2,X3)|~epred1_1(X3)), inference(split_conjunct,[status(thm)],[c_0_102])).
cnf(c_0_125, negated_conjecture, (epred1_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
cnf(c_0_126, negated_conjecture, (v13_algstr_0(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)))|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_105]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_72]), c_0_50]), c_0_73]), c_0_51]), c_0_74]), c_0_52]), c_0_75]), c_0_53])]), c_0_54])).
cnf(c_0_127, negated_conjecture, (v2_rlvect_1(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)))|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_105]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_72]), c_0_50]), c_0_73]), c_0_51]), c_0_74]), c_0_52]), c_0_75]), c_0_53])]), c_0_54])).
cnf(c_0_128, negated_conjecture, (v3_rlvect_1(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)))|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_105]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_72]), c_0_50]), c_0_73]), c_0_51]), c_0_74]), c_0_52]), c_0_75]), c_0_53])]), c_0_54])).
cnf(c_0_129, negated_conjecture, (v4_rlvect_1(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)))|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_105]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_72]), c_0_50]), c_0_73]), c_0_51]), c_0_74]), c_0_52]), c_0_75]), c_0_53])]), c_0_54])).
cnf(c_0_130, negated_conjecture, (v8_vectsp_1(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)),esk1_0)|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_105]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_72]), c_0_50]), c_0_73]), c_0_51]), c_0_74]), c_0_52]), c_0_75]), c_0_53])]), c_0_54])).
cnf(c_0_131, negated_conjecture, (v9_vectsp_1(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)),esk1_0)|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_105]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_72]), c_0_50]), c_0_73]), c_0_51]), c_0_74]), c_0_52]), c_0_75]), c_0_53])]), c_0_54])).
cnf(c_0_132, negated_conjecture, (v10_vectsp_1(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)),esk1_0)|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_105]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_72]), c_0_50]), c_0_73]), c_0_51]), c_0_74]), c_0_52]), c_0_75]), c_0_53])]), c_0_54])).
cnf(c_0_133, negated_conjecture, (v11_vectsp_1(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)),esk1_0)|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_105]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_72]), c_0_50]), c_0_73]), c_0_51]), c_0_74]), c_0_52]), c_0_75]), c_0_53])]), c_0_54])).
cnf(c_0_134, negated_conjecture, (l1_vectsp_1(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)),esk1_0)|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_105]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_72]), c_0_50]), c_0_73]), c_0_51]), c_0_74]), c_0_52]), c_0_75]), c_0_53])]), c_0_54])).
cnf(c_0_135, negated_conjecture, (v2_struct_0(k8_vectsp13(esk1_0,esk2_0))|~v2_struct_0(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_105]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_72]), c_0_50]), c_0_73]), c_0_51]), c_0_74]), c_0_52]), c_0_75]), c_0_53])]), c_0_54])).
cnf(c_0_136, plain, (v2_struct_0(X1)|v2_struct_0(X2)|X3=X2|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v7_vectsp_1(X2,X1)|~v8_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l1_vectsp_1(X2,X1)|~v7_vectsp_1(X3,X1)|~m1_vectsp_4(X3,X1,X2)|u1_struct_0(X3)!=u1_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_137, negated_conjecture, (v7_vectsp_1(k8_vectsp13(esk1_0,esk2_0),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
cnf(c_0_138, negated_conjecture, (k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0))!=k8_vectsp13(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_139, negated_conjecture, (v7_vectsp_1(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)),esk1_0)|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
cnf(c_0_140, plain, (u1_struct_0(k1_vectsp_7(X1,X2,X3))=a_3_0_vectsp_7(X1,X2,X3)|v2_struct_0(X2)|v2_struct_0(X1)|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))|~l1_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v8_vectsp_1(X2,X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v13_algstr_0(X2)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_118]), c_0_70]), c_0_97])).
cnf(c_0_141, negated_conjecture, (r2_hidden(k4_vectsp_6(X1,k8_vectsp13(esk1_0,esk2_0),X2),a_3_0_vectsp_7(X1,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)))|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))|v2_struct_0(X1)|~m2_vectsp_6(X2,X1,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0))|~l1_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v11_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v10_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v9_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v8_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75])])).
cnf(c_0_142, negated_conjecture, (m2_vectsp_6(esk5_3(esk1_0,esk2_0,esk3_2(u1_struct_0(k8_vectsp13(esk1_0,esk2_0)),X1)),esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0))|r1_tarski(u1_struct_0(k8_vectsp13(esk1_0,esk2_0)),X1)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_46]), c_0_78]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_121]), c_0_54])).
cnf(c_0_143, negated_conjecture, (k4_vectsp_6(X1,k8_vectsp13(X1,esk2_0),esk5_3(X1,esk2_0,esk3_2(u1_struct_0(k8_vectsp13(X1,esk2_0)),X2)))=esk3_2(u1_struct_0(k8_vectsp13(X1,esk2_0)),X2)|r1_tarski(u1_struct_0(k8_vectsp13(X1,esk2_0)),X2)|v6_struct_0(X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_122, c_0_31])).
cnf(c_0_144, plain, (X1=X2|~r1_tarski(X1,X2)|~r1_tarski(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_123])).
cnf(c_0_145, negated_conjecture, (r1_tarski(u1_struct_0(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0))),u1_struct_0(k8_vectsp13(esk1_0,esk2_0)))|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_105]), c_0_125]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_72]), c_0_73]), c_0_74]), c_0_75])]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])).
cnf(c_0_146, negated_conjecture, (v2_struct_0(k8_vectsp13(esk1_0,esk2_0))|u1_struct_0(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)))!=u1_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_105]), c_0_137]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_72]), c_0_50]), c_0_73]), c_0_51]), c_0_74]), c_0_52]), c_0_75]), c_0_53])]), c_0_138]), c_0_54]), c_0_139])).
cnf(c_0_147, negated_conjecture, (u1_struct_0(k1_vectsp_7(X1,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)))=a_3_0_vectsp_7(X1,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0))|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))|v2_struct_0(X1)|~l1_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v11_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v10_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v9_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v8_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140, c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75])])).
fof(c_0_148, plain, ![X1, X2]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>(~v2_struct_0(k8_vectsp13(X1,X2))&v7_vectsp_1(k8_vectsp13(X1,X2),X1))), inference(fof_simplification,[status(thm)],[fc3_vectsp13])).
cnf(c_0_149, negated_conjecture, (r2_hidden(k4_vectsp_6(esk1_0,k8_vectsp13(esk1_0,esk2_0),esk5_3(esk1_0,esk2_0,esk3_2(u1_struct_0(k8_vectsp13(esk1_0,esk2_0)),X1))),a_3_0_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)))|r1_tarski(u1_struct_0(k8_vectsp13(esk1_0,esk2_0)),X1)|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_142]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
cnf(c_0_150, negated_conjecture, (k4_vectsp_6(esk1_0,k8_vectsp13(esk1_0,esk2_0),esk5_3(esk1_0,esk2_0,esk3_2(u1_struct_0(k8_vectsp13(esk1_0,esk2_0)),X1)))=esk3_2(u1_struct_0(k8_vectsp13(esk1_0,esk2_0)),X1)|r1_tarski(u1_struct_0(k8_vectsp13(esk1_0,esk2_0)),X1)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143, c_0_46]), c_0_78]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_121]), c_0_54])).
cnf(c_0_151, negated_conjecture, (v2_struct_0(k8_vectsp13(esk1_0,esk2_0))|~r1_tarski(u1_struct_0(k8_vectsp13(esk1_0,esk2_0)),u1_struct_0(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_145]), c_0_146])).
cnf(c_0_152, negated_conjecture, (u1_struct_0(k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)))=a_3_0_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0))|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147, c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54])).
fof(c_0_153, plain, ![X79, X80]:((~v2_struct_0(k8_vectsp13(X79,X80))|(v2_struct_0(X79)|~v13_algstr_0(X79)|~v2_rlvect_1(X79)|~v3_rlvect_1(X79)|~v4_rlvect_1(X79)|~v4_vectsp_1(X79)|~v5_vectsp_1(X79)|~v3_group_1(X79)|~l6_algstr_0(X79)|~v7_ordinal1(X80)))&(v7_vectsp_1(k8_vectsp13(X79,X80),X79)|(v2_struct_0(X79)|~v13_algstr_0(X79)|~v2_rlvect_1(X79)|~v3_rlvect_1(X79)|~v4_rlvect_1(X79)|~v4_vectsp_1(X79)|~v5_vectsp_1(X79)|~v3_group_1(X79)|~l6_algstr_0(X79)|~v7_ordinal1(X80)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_148])])])).
cnf(c_0_154, plain, (r1_tarski(X1,X2)|~r2_hidden(esk3_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_155, negated_conjecture, (r2_hidden(esk3_2(u1_struct_0(k8_vectsp13(esk1_0,esk2_0)),X1),a_3_0_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)))|r1_tarski(u1_struct_0(k8_vectsp13(esk1_0,esk2_0)),X1)|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_149, c_0_150])).
cnf(c_0_156, negated_conjecture, (v2_struct_0(k8_vectsp13(esk1_0,esk2_0))|~r1_tarski(u1_struct_0(k8_vectsp13(esk1_0,esk2_0)),a_3_0_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)))), inference(spm,[status(thm)],[c_0_151, c_0_152])).
cnf(c_0_157, plain, (v2_struct_0(X1)|~v2_struct_0(k8_vectsp13(X1,X2))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_153])).
cnf(c_0_158, negated_conjecture, (v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_155]), c_0_156])).
cnf(c_0_159, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157, c_0_158]), c_0_31]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])]), c_0_54]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 160
# Proof object clause steps            : 107
# Proof object formula steps           : 53
# Proof object conjectures             : 68
# Proof object clause conjectures      : 65
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 49
# Proof object initial formulas used   : 18
# Proof object generating inferences   : 56
# Proof object simplifying inferences  : 458
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 18
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 64
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 64
# Processed clauses                    : 397
# ...of these trivial                  : 0
# ...subsumed                          : 95
# ...remaining for further processing  : 302
# Other redundant clauses eliminated   : 4
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 139
# Generated clauses                    : 359
# ...of the previous two non-trivial   : 354
# Contextual simplify-reflections      : 85
# Paramodulations                      : 355
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 4
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 99
#    Positive orientable unit clauses  : 24
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 72
# Current number of unprocessed clauses: 80
# ...number of literals in the above   : 833
# Current number of archived formulas  : 0
# Current number of archived clauses   : 199
# Clause-clause subsumption calls (NU) : 51809
# Rec. Clause-clause subsumption calls : 3785
# Non-unit clause-clause subsumptions  : 181
# Unit Clause-clause subsumption calls : 8
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 48942

# -------------------------------------------------
# User time                : 0.063 s
# System time              : 0.010 s
# Total time               : 0.073 s
# Maximum resident set size: 3528 pages
