# 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       : 0.021 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__t28_vectsp13', dt_k10_vectsp13)).
fof(t28_vectsp13, conjecture, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_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_9(X1,k8_vectsp13(X1,X2))=X2)), file('vectsp13/vectsp13__t28_vectsp13', t28_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__t28_vectsp13', fc4_vectsp13)).
fof(fc9_vectsp13, axiom, ![X1, X2]:((((((((((((~(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))&v7_ordinal1(X2))=>v2_vectsp_7(k10_vectsp13(X1,X2),X1,k8_vectsp13(X1,X2))), file('vectsp13/vectsp13__t28_vectsp13', fc9_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__t28_vectsp13', dt_k8_vectsp13)).
fof(fc10_vectsp13, axiom, ![X1, X2]:(((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_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)&v1_matrlin(k8_vectsp13(X1,X2),X1))), file('vectsp13/vectsp13__t28_vectsp13', fc10_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__t28_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__t28_vectsp13', fc5_vectsp13)).
fof(fc8_vectsp13, axiom, ![X1, X2]:((((((((((((~(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))&v7_ordinal1(X2))=>v1_vectsp_7(k10_vectsp13(X1,X2),X1,k8_vectsp13(X1,X2))), file('vectsp13/vectsp13__t28_vectsp13', fc8_vectsp13)).
fof(cc1_vectsp_9, axiom, ![X1, X2]:(((((((((((((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_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))&v5_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))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))=>(v2_vectsp_7(X3,X1,X2)=>(v1_finset_1(X3)&v2_vectsp_7(X3,X1,X2))))), file('vectsp13/vectsp13__t28_vectsp13', cc1_vectsp_9)).
fof(t25_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))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>k4_card_1(k10_vectsp13(X1,X2))=X2)), file('vectsp13/vectsp13__t28_vectsp13', t25_vectsp13)).
fof(t26_vectsp_9, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_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))&v5_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))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))=>(v1_vectsp_7(X3,X1,X2)=>k1_card_1(X3)=k1_vectsp_9(X1,k1_vectsp_7(X1,X2,X3)))))), file('vectsp13/vectsp13__t28_vectsp13', t26_vectsp_9)).
fof(t27_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)=>k1_vectsp_7(X1,k8_vectsp13(X1,X2),k10_vectsp13(X1,X2))=k8_vectsp13(X1,X2))), file('vectsp13/vectsp13__t28_vectsp13', t27_vectsp13)).
fof(redefinition_k4_card_1, axiom, ![X1]:(v1_finset_1(X1)=>k4_card_1(X1)=k1_card_1(X1)), file('vectsp13/vectsp13__t28_vectsp13', redefinition_k4_card_1)).
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__t28_vectsp13', fc3_vectsp13)).
fof(c_0_15, 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_16, negated_conjecture, ~(![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_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_9(X1,k8_vectsp13(X1,X2))=X2))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t28_vectsp13])])).
fof(c_0_17, 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_18, plain, ![X40, X41]:(v2_struct_0(X40)|~v13_algstr_0(X40)|~v2_rlvect_1(X40)|~v3_rlvect_1(X40)|~v4_rlvect_1(X40)|~v4_vectsp_1(X40)|~v5_vectsp_1(X40)|~v3_group_1(X40)|~l6_algstr_0(X40)|~v7_ordinal1(X41)|m1_subset_1(k10_vectsp13(X40,X41),k1_zfmisc_1(u1_struct_0(k8_vectsp13(X40,X41))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])).
fof(c_0_19, negated_conjecture, ((((((((((((~v2_struct_0(esk1_0)&~v6_struct_0(esk1_0))&v13_algstr_0(esk1_0))&v33_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_9(esk1_0,k8_vectsp13(esk1_0,esk2_0))!=esk2_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
fof(c_0_20, plain, ![X48, X49]:(((((v13_algstr_0(k8_vectsp13(X48,X49))|(v2_struct_0(X48)|~v13_algstr_0(X48)|~v2_rlvect_1(X48)|~v3_rlvect_1(X48)|~v4_rlvect_1(X48)|~v4_vectsp_1(X48)|~v5_vectsp_1(X48)|~v3_group_1(X48)|~l6_algstr_0(X48)|~v7_ordinal1(X49)))&(v2_rlvect_1(k8_vectsp13(X48,X49))|(v2_struct_0(X48)|~v13_algstr_0(X48)|~v2_rlvect_1(X48)|~v3_rlvect_1(X48)|~v4_rlvect_1(X48)|~v4_vectsp_1(X48)|~v5_vectsp_1(X48)|~v3_group_1(X48)|~l6_algstr_0(X48)|~v7_ordinal1(X49))))&(v3_rlvect_1(k8_vectsp13(X48,X49))|(v2_struct_0(X48)|~v13_algstr_0(X48)|~v2_rlvect_1(X48)|~v3_rlvect_1(X48)|~v4_rlvect_1(X48)|~v4_vectsp_1(X48)|~v5_vectsp_1(X48)|~v3_group_1(X48)|~l6_algstr_0(X48)|~v7_ordinal1(X49))))&(v4_rlvect_1(k8_vectsp13(X48,X49))|(v2_struct_0(X48)|~v13_algstr_0(X48)|~v2_rlvect_1(X48)|~v3_rlvect_1(X48)|~v4_rlvect_1(X48)|~v4_vectsp_1(X48)|~v5_vectsp_1(X48)|~v3_group_1(X48)|~l6_algstr_0(X48)|~v7_ordinal1(X49))))&(v7_vectsp_1(k8_vectsp13(X48,X49),X48)|(v2_struct_0(X48)|~v13_algstr_0(X48)|~v2_rlvect_1(X48)|~v3_rlvect_1(X48)|~v4_rlvect_1(X48)|~v4_vectsp_1(X48)|~v5_vectsp_1(X48)|~v3_group_1(X48)|~l6_algstr_0(X48)|~v7_ordinal1(X49)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
fof(c_0_21, plain, ![X1, X2]:((((((((((((~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))&v7_ordinal1(X2))=>v2_vectsp_7(k10_vectsp13(X1,X2),X1,k8_vectsp13(X1,X2))), inference(fof_simplification,[status(thm)],[fc9_vectsp13])).
fof(c_0_22, 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_23, plain, ![X1, X2]:(((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_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)&v1_matrlin(k8_vectsp13(X1,X2),X1))), inference(fof_simplification,[status(thm)],[fc10_vectsp13])).
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))&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_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))&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_26, plain, ![X1, X2]:((((((((((((~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))&v7_ordinal1(X2))=>v1_vectsp_7(k10_vectsp13(X1,X2),X1,k8_vectsp13(X1,X2))), inference(fof_simplification,[status(thm)],[fc8_vectsp13])).
fof(c_0_27, plain, ![X1, X2]:(((((((((((((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_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))&v5_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))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))=>(v2_vectsp_7(X3,X1,X2)=>(v1_finset_1(X3)&v2_vectsp_7(X3,X1,X2))))), inference(fof_simplification,[status(thm)],[cc1_vectsp_9])).
cnf(c_0_28, 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_18])).
cnf(c_0_29, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_30, 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_20])).
cnf(c_0_31, 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_20])).
cnf(c_0_32, 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_20])).
cnf(c_0_33, 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_20])).
fof(c_0_34, plain, ![X56, X57]:(v2_struct_0(X56)|v6_struct_0(X56)|~v13_algstr_0(X56)|~v2_rlvect_1(X56)|~v3_rlvect_1(X56)|~v4_rlvect_1(X56)|~v4_vectsp_1(X56)|~v5_vectsp_1(X56)|~v3_group_1(X56)|~v5_group_1(X56)|~l6_algstr_0(X56)|~v7_ordinal1(X57)|v2_vectsp_7(k10_vectsp13(X56,X57),X56,k8_vectsp13(X56,X57))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])).
fof(c_0_35, plain, ![X42, X43]:((v7_vectsp_1(k8_vectsp13(X42,X43),X42)|(v2_struct_0(X42)|~v13_algstr_0(X42)|~v2_rlvect_1(X42)|~v3_rlvect_1(X42)|~v4_rlvect_1(X42)|~v4_vectsp_1(X42)|~v5_vectsp_1(X42)|~v3_group_1(X42)|~l6_algstr_0(X42)|~v7_ordinal1(X43)))&(l1_vectsp_1(k8_vectsp13(X42,X43),X42)|(v2_struct_0(X42)|~v13_algstr_0(X42)|~v2_rlvect_1(X42)|~v3_rlvect_1(X42)|~v4_rlvect_1(X42)|~v4_vectsp_1(X42)|~v5_vectsp_1(X42)|~v3_group_1(X42)|~l6_algstr_0(X42)|~v7_ordinal1(X43)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])).
fof(c_0_36, plain, ![X44, X45]:((v7_vectsp_1(k8_vectsp13(X44,X45),X44)|(v2_struct_0(X44)|v6_struct_0(X44)|~v13_algstr_0(X44)|~v33_algstr_0(X44)|~v2_rlvect_1(X44)|~v3_rlvect_1(X44)|~v4_rlvect_1(X44)|~v4_vectsp_1(X44)|~v5_vectsp_1(X44)|~v3_group_1(X44)|~v5_group_1(X44)|~l6_algstr_0(X44)|~v7_ordinal1(X45)))&(v1_matrlin(k8_vectsp13(X44,X45),X44)|(v2_struct_0(X44)|v6_struct_0(X44)|~v13_algstr_0(X44)|~v33_algstr_0(X44)|~v2_rlvect_1(X44)|~v3_rlvect_1(X44)|~v4_rlvect_1(X44)|~v4_vectsp_1(X44)|~v5_vectsp_1(X44)|~v3_group_1(X44)|~v5_group_1(X44)|~l6_algstr_0(X44)|~v7_ordinal1(X45)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
fof(c_0_37, plain, ![X52, X53]:((v7_vectsp_1(k8_vectsp13(X52,X53),X52)|(v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v4_vectsp_1(X52)|~v5_vectsp_1(X52)|~v3_group_1(X52)|~v5_group_1(X52)|~l6_algstr_0(X52)|~v7_ordinal1(X53)))&(v11_vectsp_1(k8_vectsp13(X52,X53),X52)|(v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v4_vectsp_1(X52)|~v5_vectsp_1(X52)|~v3_group_1(X52)|~v5_group_1(X52)|~l6_algstr_0(X52)|~v7_ordinal1(X53)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])).
fof(c_0_38, plain, ![X50, X51]:((((v7_vectsp_1(k8_vectsp13(X50,X51),X50)|(v2_struct_0(X50)|~v13_algstr_0(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v4_vectsp_1(X50)|~v5_vectsp_1(X50)|~v3_group_1(X50)|~l6_algstr_0(X50)|~v7_ordinal1(X51)))&(v8_vectsp_1(k8_vectsp13(X50,X51),X50)|(v2_struct_0(X50)|~v13_algstr_0(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v4_vectsp_1(X50)|~v5_vectsp_1(X50)|~v3_group_1(X50)|~l6_algstr_0(X50)|~v7_ordinal1(X51))))&(v9_vectsp_1(k8_vectsp13(X50,X51),X50)|(v2_struct_0(X50)|~v13_algstr_0(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v4_vectsp_1(X50)|~v5_vectsp_1(X50)|~v3_group_1(X50)|~l6_algstr_0(X50)|~v7_ordinal1(X51))))&(v10_vectsp_1(k8_vectsp13(X50,X51),X50)|(v2_struct_0(X50)|~v13_algstr_0(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v4_vectsp_1(X50)|~v5_vectsp_1(X50)|~v3_group_1(X50)|~l6_algstr_0(X50)|~v7_ordinal1(X51)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])).
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))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>k4_card_1(k10_vectsp13(X1,X2))=X2)), inference(fof_simplification,[status(thm)],[t25_vectsp13])).
fof(c_0_40, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_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))&v5_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))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))=>(v1_vectsp_7(X3,X1,X2)=>k1_card_1(X3)=k1_vectsp_9(X1,k1_vectsp_7(X1,X2,X3)))))), inference(fof_simplification,[status(thm)],[t26_vectsp_9])).
fof(c_0_41, plain, ![X54, X55]:(v2_struct_0(X54)|v6_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v4_vectsp_1(X54)|~v5_vectsp_1(X54)|~v3_group_1(X54)|~v5_group_1(X54)|~l6_algstr_0(X54)|~v7_ordinal1(X55)|v1_vectsp_7(k10_vectsp13(X54,X55),X54,k8_vectsp13(X54,X55))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])).
fof(c_0_42, 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)=>k1_vectsp_7(X1,k8_vectsp13(X1,X2),k10_vectsp13(X1,X2))=k8_vectsp13(X1,X2))), inference(fof_simplification,[status(thm)],[t27_vectsp13])).
fof(c_0_43, plain, ![X37, X38, X39]:((v1_finset_1(X39)|~v2_vectsp_7(X39,X37,X38)|~m1_subset_1(X39,k1_zfmisc_1(u1_struct_0(X38)))|(v2_struct_0(X37)|v6_struct_0(X37)|~v13_algstr_0(X37)|~v33_algstr_0(X37)|~v4_vectsp_1(X37)|~v5_vectsp_1(X37)|~v2_rlvect_1(X37)|~v3_rlvect_1(X37)|~v4_rlvect_1(X37)|~v3_group_1(X37)|~v5_group_1(X37)|~l6_algstr_0(X37)|v2_struct_0(X38)|~v13_algstr_0(X38)|~v8_vectsp_1(X38,X37)|~v9_vectsp_1(X38,X37)|~v10_vectsp_1(X38,X37)|~v11_vectsp_1(X38,X37)|~v2_rlvect_1(X38)|~v3_rlvect_1(X38)|~v4_rlvect_1(X38)|~v1_matrlin(X38,X37)|~l1_vectsp_1(X38,X37)))&(v2_vectsp_7(X39,X37,X38)|~v2_vectsp_7(X39,X37,X38)|~m1_subset_1(X39,k1_zfmisc_1(u1_struct_0(X38)))|(v2_struct_0(X37)|v6_struct_0(X37)|~v13_algstr_0(X37)|~v33_algstr_0(X37)|~v4_vectsp_1(X37)|~v5_vectsp_1(X37)|~v2_rlvect_1(X37)|~v3_rlvect_1(X37)|~v4_rlvect_1(X37)|~v3_group_1(X37)|~v5_group_1(X37)|~l6_algstr_0(X37)|v2_struct_0(X38)|~v13_algstr_0(X38)|~v8_vectsp_1(X38,X37)|~v9_vectsp_1(X38,X37)|~v10_vectsp_1(X38,X37)|~v11_vectsp_1(X38,X37)|~v2_rlvect_1(X38)|~v3_rlvect_1(X38)|~v4_rlvect_1(X38)|~v1_matrlin(X38,X37)|~l1_vectsp_1(X38,X37)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])).
cnf(c_0_44, 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_28, c_0_29])).
cnf(c_0_45, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_46, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_47, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_48, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_49, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_50, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_51, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_52, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_53, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_54, 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_30, c_0_29])).
cnf(c_0_55, 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_31, c_0_29])).
cnf(c_0_56, 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_32, c_0_29])).
cnf(c_0_57, 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_33, c_0_29])).
cnf(c_0_58, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v2_vectsp_7(k10_vectsp13(X1,X2),X1,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)|~v5_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_34])).
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_35])).
cnf(c_0_60, plain, (v1_matrlin(k8_vectsp13(X1,X2),X1)|v2_struct_0(X1)|v6_struct_0(X1)|~v13_algstr_0(X1)|~v33_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_36])).
cnf(c_0_61, 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_62, 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_63, 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_64, 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_65, plain, ![X59, X60]:(v2_struct_0(X59)|v6_struct_0(X59)|~v13_algstr_0(X59)|~v2_rlvect_1(X59)|~v3_rlvect_1(X59)|~v4_rlvect_1(X59)|~v4_vectsp_1(X59)|~v5_vectsp_1(X59)|~v3_group_1(X59)|~l6_algstr_0(X59)|(~v7_ordinal1(X60)|k4_card_1(k10_vectsp13(X59,X60))=X60)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])).
fof(c_0_66, plain, ![X61, X62, X63]:(v2_struct_0(X61)|v6_struct_0(X61)|~v13_algstr_0(X61)|~v33_algstr_0(X61)|~v4_vectsp_1(X61)|~v5_vectsp_1(X61)|~v2_rlvect_1(X61)|~v3_rlvect_1(X61)|~v4_rlvect_1(X61)|~v3_group_1(X61)|~v5_group_1(X61)|~l6_algstr_0(X61)|(v2_struct_0(X62)|~v13_algstr_0(X62)|~v8_vectsp_1(X62,X61)|~v9_vectsp_1(X62,X61)|~v10_vectsp_1(X62,X61)|~v11_vectsp_1(X62,X61)|~v2_rlvect_1(X62)|~v3_rlvect_1(X62)|~v4_rlvect_1(X62)|~v1_matrlin(X62,X61)|~l1_vectsp_1(X62,X61)|(~m1_subset_1(X63,k1_zfmisc_1(u1_struct_0(X62)))|(~v1_vectsp_7(X63,X61,X62)|k1_card_1(X63)=k1_vectsp_9(X61,k1_vectsp_7(X61,X62,X63)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])).
cnf(c_0_67, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v1_vectsp_7(k10_vectsp13(X1,X2),X1,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)|~v5_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_41])).
fof(c_0_68, plain, ![X64, X65]:(v2_struct_0(X64)|v6_struct_0(X64)|~v13_algstr_0(X64)|~v2_rlvect_1(X64)|~v3_rlvect_1(X64)|~v4_rlvect_1(X64)|~v4_vectsp_1(X64)|~v5_vectsp_1(X64)|~v3_group_1(X64)|~v5_group_1(X64)|~l6_algstr_0(X64)|(~v7_ordinal1(X65)|k1_vectsp_7(X64,k8_vectsp13(X64,X65),k10_vectsp13(X64,X65))=k8_vectsp13(X64,X65))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])).
cnf(c_0_69, plain, (v1_finset_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|v2_struct_0(X3)|~v2_vectsp_7(X1,X2,X3)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))|~v13_algstr_0(X2)|~v33_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)|~v5_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)|~v1_matrlin(X3,X2)|~l1_vectsp_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_70, 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_44, 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])).
cnf(c_0_71, 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_54, 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])).
cnf(c_0_72, 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_55, 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])).
cnf(c_0_73, 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_56, 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])).
cnf(c_0_74, 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_57, 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])).
cnf(c_0_75, negated_conjecture, (v2_vectsp_7(k10_vectsp13(X1,esk2_0),X1,k8_vectsp13(X1,esk2_0))|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_58, c_0_29])).
cnf(c_0_76, negated_conjecture, (v5_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_77, negated_conjecture, (~v6_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_78, 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_29])).
cnf(c_0_79, negated_conjecture, (v1_matrlin(k8_vectsp13(X1,esk2_0),X1)|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)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_60, c_0_29])).
cnf(c_0_80, negated_conjecture, (v33_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_81, 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_61, c_0_29])).
cnf(c_0_82, 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_62, c_0_29])).
cnf(c_0_83, 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_63, c_0_29])).
cnf(c_0_84, 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_64, c_0_29])).
cnf(c_0_85, plain, (v2_struct_0(X1)|v6_struct_0(X1)|k4_card_1(k10_vectsp13(X1,X2))=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_65])).
cnf(c_0_86, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v2_struct_0(X2)|k1_card_1(X3)=k1_vectsp_9(X1,k1_vectsp_7(X1,X2,X3))|~v13_algstr_0(X1)|~v33_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)|~v5_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)|~v1_matrlin(X2,X1)|~l1_vectsp_1(X2,X1)|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))|~v1_vectsp_7(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_87, negated_conjecture, (v1_vectsp_7(k10_vectsp13(X1,esk2_0),X1,k8_vectsp13(X1,esk2_0))|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_67, c_0_29])).
cnf(c_0_88, plain, (v2_struct_0(X1)|v6_struct_0(X1)|k1_vectsp_7(X1,k8_vectsp13(X1,X2),k10_vectsp13(X1,X2))=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)|~v5_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_68])).
fof(c_0_89, plain, ![X58]:(~v1_finset_1(X58)|k4_card_1(X58)=k1_card_1(X58)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_card_1])])).
cnf(c_0_90, negated_conjecture, (v1_finset_1(k10_vectsp13(esk1_0,esk2_0))|v6_struct_0(X1)|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))|v2_struct_0(X1)|~v2_vectsp_7(k10_vectsp13(esk1_0,esk2_0),X1,k8_vectsp13(esk1_0,esk2_0))|~l1_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v1_matrlin(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)|~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)|~v33_algstr_0(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_69, c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74])])).
cnf(c_0_91, negated_conjecture, (v2_vectsp_7(k10_vectsp13(esk1_0,esk2_0),esk1_0,k8_vectsp13(esk1_0,esk2_0))), 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_75, c_0_45]), 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_77]), c_0_53])).
cnf(c_0_92, 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_78, 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])).
cnf(c_0_93, negated_conjecture, (v1_matrlin(k8_vectsp13(esk1_0,esk2_0),esk1_0)), 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(spm,[status(thm)],[c_0_79, c_0_45]), c_0_76]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_80]), c_0_52])]), c_0_77]), c_0_53])).
cnf(c_0_94, 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_81, c_0_45]), 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])).
cnf(c_0_95, 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_82, 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])).
cnf(c_0_96, 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_83, 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])).
cnf(c_0_97, 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_84, 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])).
cnf(c_0_98, negated_conjecture, (k4_card_1(k10_vectsp13(X1,esk2_0))=esk2_0|v6_struct_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_85, c_0_29])).
cnf(c_0_99, negated_conjecture, (k1_vectsp_9(X1,k1_vectsp_7(X1,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)))=k1_card_1(k10_vectsp13(esk1_0,esk2_0))|v6_struct_0(X1)|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))|v2_struct_0(X1)|~v1_vectsp_7(k10_vectsp13(esk1_0,esk2_0),X1,k8_vectsp13(esk1_0,esk2_0))|~l1_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v1_matrlin(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)|~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)|~v33_algstr_0(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_86, c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74])])).
cnf(c_0_100, negated_conjecture, (v1_vectsp_7(k10_vectsp13(esk1_0,esk2_0),esk1_0,k8_vectsp13(esk1_0,esk2_0))), 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_87, c_0_45]), 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_77]), c_0_53])).
cnf(c_0_101, negated_conjecture, (k1_vectsp_7(X1,k8_vectsp13(X1,esk2_0),k10_vectsp13(X1,esk2_0))=k8_vectsp13(X1,esk2_0)|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_88, c_0_29])).
fof(c_0_102, 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_103, plain, (k4_card_1(X1)=k1_card_1(X1)|~v1_finset_1(X1)), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_104, negated_conjecture, (v1_finset_1(k10_vectsp13(esk1_0,esk2_0))|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), 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(spm,[status(thm)],[c_0_90, c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96]), c_0_97]), c_0_45]), c_0_76]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_80]), c_0_52])]), c_0_77]), c_0_53])).
cnf(c_0_105, negated_conjecture, (k4_card_1(k10_vectsp13(esk1_0,esk2_0))=esk2_0), 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(spm,[status(thm)],[c_0_98, 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_77]), c_0_53])).
cnf(c_0_106, negated_conjecture, (k1_vectsp_9(esk1_0,k1_vectsp_7(esk1_0,k8_vectsp13(esk1_0,esk2_0),k10_vectsp13(esk1_0,esk2_0)))=k1_card_1(k10_vectsp13(esk1_0,esk2_0))|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), 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(spm,[status(thm)],[c_0_99, c_0_100]), c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96]), c_0_97]), c_0_45]), c_0_76]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_80]), c_0_52])]), c_0_77]), c_0_53])).
cnf(c_0_107, 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(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_101, c_0_45]), 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_77]), c_0_53])).
fof(c_0_108, plain, ![X46, X47]:((~v2_struct_0(k8_vectsp13(X46,X47))|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v4_vectsp_1(X46)|~v5_vectsp_1(X46)|~v3_group_1(X46)|~l6_algstr_0(X46)|~v7_ordinal1(X47)))&(v7_vectsp_1(k8_vectsp13(X46,X47),X46)|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v4_vectsp_1(X46)|~v5_vectsp_1(X46)|~v3_group_1(X46)|~l6_algstr_0(X46)|~v7_ordinal1(X47)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_102])])])).
cnf(c_0_109, negated_conjecture, (k1_card_1(k10_vectsp13(esk1_0,esk2_0))=esk2_0|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_104]), c_0_105])).
cnf(c_0_110, negated_conjecture, (k1_card_1(k10_vectsp13(esk1_0,esk2_0))=k1_vectsp_9(esk1_0,k8_vectsp13(esk1_0,esk2_0))|v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(rw,[status(thm)],[c_0_106, c_0_107])).
cnf(c_0_111, negated_conjecture, (k1_vectsp_9(esk1_0,k8_vectsp13(esk1_0,esk2_0))!=esk2_0), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_112, 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_108])).
cnf(c_0_113, negated_conjecture, (v2_struct_0(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_110]), c_0_111])).
cnf(c_0_114, 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_112, c_0_113]), c_0_29]), 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]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 115
# Proof object clause steps            : 71
# Proof object formula steps           : 44
# Proof object conjectures             : 55
# Proof object clause conjectures      : 52
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 33
# Proof object initial formulas used   : 15
# Proof object generating inferences   : 37
# Proof object simplifying inferences  : 208
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 15
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 40
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 39
# Processed clauses                    : 112
# ...of these trivial                  : 0
# ...subsumed                          : 5
# ...remaining for further processing  : 107
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 5
# Generated clauses                    : 39
# ...of the previous two non-trivial   : 39
# Contextual simplify-reflections      : 0
# Paramodulations                      : 39
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# 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  : 67
#    Positive orientable unit clauses  : 28
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 36
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 40
# Clause-clause subsumption calls (NU) : 5075
# Rec. Clause-clause subsumption calls : 13
# Non-unit clause-clause subsumptions  : 6
# Unit Clause-clause subsumption calls : 360
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 11038

# -------------------------------------------------
# User time                : 0.027 s
# System time              : 0.004 s
# Total time               : 0.031 s
# Maximum resident set size: 3320 pages
