# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
# and selection function PSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.024 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc3_vectsp_1, axiom, ![X1]:(l4_algstr_0(X1)=>((~(v2_struct_0(X1))&v4_vectsp_1(X1))=>((~(v2_struct_0(X1))&v3_vectsp_1(X1))&v6_vectsp_1(X1)))), file('vectsp13/vectsp13__l46_vectsp13', cc3_vectsp_1)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('vectsp13/vectsp13__l46_vectsp13', dt_l5_algstr_0)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('vectsp13/vectsp13__l46_vectsp13', dt_l6_algstr_0)).
fof(rd7_vectsp_1, axiom, ![X1, X2]:((((~(v2_struct_0(X1))&v3_vectsp_1(X1))&l4_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>k6_algstr_0(X1,X2,k5_struct_0(X1))=X2), file('vectsp13/vectsp13__l46_vectsp13', rd7_vectsp_1)).
fof(l46_vectsp13, conjecture, ![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))=>![X2]:(v7_ordinal1(X2)=>![X3]:(m2_finseq_2(X3,u1_struct_0(X1),k4_finseq_2(X2,u1_struct_0(X1)))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>![X5]:(v7_ordinal1(X5)=>((r1_xxreal_0(np__1,X5)&r1_xxreal_0(X5,X2))=>(k1_funct_1(k10_fvsum_1(X2,X1,k9_vectsp13(X1,X2,X5),X4),X5)=X4&![X6]:(v7_ordinal1(X6)=>((r1_xxreal_0(np__1,X6)&r1_xxreal_0(X6,X2))=>(X6=X5|k1_funct_1(k10_fvsum_1(X2,X1,k9_vectsp13(X1,X2,X6),X4),X5)=k4_struct_0(X1))))))))))), file('vectsp13/vectsp13__l46_vectsp13', l46_vectsp13)).
fof(t51_fvsum_1, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:((~(v2_struct_0(X3))&l3_algstr_0(X3))=>![X4]:(m1_subset_1(X4,u1_struct_0(X3))=>![X5]:(m1_subset_1(X5,u1_struct_0(X3))=>![X6]:(m2_finseq_2(X6,u1_struct_0(X3),k4_finseq_2(X1,u1_struct_0(X3)))=>((r2_tarski(X2,k2_finseq_1(X1))&X5=k1_funct_1(X6,X2))=>k1_funct_1(k10_fvsum_1(X1,X3,X6,X4),X2)=k6_algstr_0(X3,X4,X5)))))))), file('vectsp13/vectsp13__l46_vectsp13', t51_fvsum_1)).
fof(dt_l4_algstr_0, axiom, ![X1]:(l4_algstr_0(X1)=>(l3_struct_0(X1)&l3_algstr_0(X1))), file('vectsp13/vectsp13__l46_vectsp13', dt_l4_algstr_0)).
fof(dt_k9_vectsp13, axiom, ![X1, X2, X3]:(((((((((((~(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_ordinal1(X3))=>m2_finseq_2(k9_vectsp13(X1,X2,X3),u1_struct_0(X1),k4_finseq_2(X2,u1_struct_0(X1)))), file('vectsp13/vectsp13__l46_vectsp13', dt_k9_vectsp13)).
fof(dt_k5_struct_0, axiom, ![X1]:(l3_struct_0(X1)=>m1_subset_1(k5_struct_0(X1),u1_struct_0(X1))), file('vectsp13/vectsp13__l46_vectsp13', dt_k5_struct_0)).
fof(t23_vectsp13, axiom, ![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))=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>((r1_xxreal_0(np__1,X3)&r1_xxreal_0(X3,X2))=>(k1_funct_1(k9_vectsp13(X1,X2,X3),X3)=k5_struct_0(X1)&![X4]:(v7_ordinal1(X4)=>((r1_xxreal_0(np__1,X4)&r1_xxreal_0(X4,X2))=>(X4=X3|k1_funct_1(k9_vectsp13(X1,X2,X3),X4)=k4_struct_0(X1))))))))), file('vectsp13/vectsp13__l46_vectsp13', t23_vectsp13)).
fof(rd3_vectsp_1, axiom, ![X1, X2, X3]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v1_vectsp_1(X1))&l6_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&v9_struct_0(X3,X1))&m1_subset_1(X3,u1_struct_0(X1)))=>k6_algstr_0(X1,X2,X3)=X3), file('vectsp13/vectsp13__l46_vectsp13', rd3_vectsp_1)).
fof(cc1_vectsp_1, axiom, ![X1]:(l6_algstr_0(X1)=>((~(v2_struct_0(X1))&v5_vectsp_1(X1))=>((~(v2_struct_0(X1))&v1_vectsp_1(X1))&v2_vectsp_1(X1)))), file('vectsp13/vectsp13__l46_vectsp13', cc1_vectsp_1)).
fof(redefinition_k2_finseq_1, axiom, ![X1]:(v7_ordinal1(X1)=>k2_finseq_1(X1)=k1_finseq_1(X1)), file('vectsp13/vectsp13__l46_vectsp13', redefinition_k2_finseq_1)).
fof(dt_k4_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>m1_subset_1(k4_struct_0(X1),u1_struct_0(X1))), file('vectsp13/vectsp13__l46_vectsp13', dt_k4_struct_0)).
fof(fc10_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>v9_struct_0(k4_struct_0(X1),X1)), file('vectsp13/vectsp13__l46_vectsp13', fc10_struct_0)).
fof(d1_finseq_1, axiom, ![X1]:(v7_ordinal1(X1)=>k1_finseq_1(X1)=a_1_0_finseq_1(X1)), file('vectsp13/vectsp13__l46_vectsp13', d1_finseq_1)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('vectsp13/vectsp13__l46_vectsp13', redefinition_r2_tarski)).
fof(fraenkel_a_1_0_finseq_1, axiom, ![X1, X2]:(v7_ordinal1(X2)=>(r2_hidden(X1,a_1_0_finseq_1(X2))<=>?[X3]:(((v7_ordinal1(X3)&X1=X3)&r1_xxreal_0(np__1,X3))&r1_xxreal_0(X3,X2)))), file('vectsp13/vectsp13__l46_vectsp13', fraenkel_a_1_0_finseq_1)).
fof(dt_l4_struct_0, axiom, ![X1]:(l4_struct_0(X1)=>(l2_struct_0(X1)&l3_struct_0(X1))), file('vectsp13/vectsp13__l46_vectsp13', dt_l4_struct_0)).
fof(c_0_19, plain, ![X1]:(l4_algstr_0(X1)=>((~v2_struct_0(X1)&v4_vectsp_1(X1))=>((~v2_struct_0(X1)&v3_vectsp_1(X1))&v6_vectsp_1(X1)))), inference(fof_simplification,[status(thm)],[cc3_vectsp_1])).
fof(c_0_20, plain, ![X63]:((l4_algstr_0(X63)|~l5_algstr_0(X63))&(l4_struct_0(X63)|~l5_algstr_0(X63))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
fof(c_0_21, plain, ![X64]:((l2_algstr_0(X64)|~l6_algstr_0(X64))&(l5_algstr_0(X64)|~l6_algstr_0(X64))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_22, plain, ![X1, X2]:((((~v2_struct_0(X1)&v3_vectsp_1(X1))&l4_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>k6_algstr_0(X1,X2,k5_struct_0(X1))=X2), inference(fof_simplification,[status(thm)],[rd7_vectsp_1])).
fof(c_0_23, negated_conjecture, ~(![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))=>![X2]:(v7_ordinal1(X2)=>![X3]:(m2_finseq_2(X3,u1_struct_0(X1),k4_finseq_2(X2,u1_struct_0(X1)))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>![X5]:(v7_ordinal1(X5)=>((r1_xxreal_0(np__1,X5)&r1_xxreal_0(X5,X2))=>(k1_funct_1(k10_fvsum_1(X2,X1,k9_vectsp13(X1,X2,X5),X4),X5)=X4&![X6]:(v7_ordinal1(X6)=>((r1_xxreal_0(np__1,X6)&r1_xxreal_0(X6,X2))=>(X6=X5|k1_funct_1(k10_fvsum_1(X2,X1,k9_vectsp13(X1,X2,X6),X4),X5)=k4_struct_0(X1)))))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l46_vectsp13])])).
fof(c_0_24, plain, ![X54]:(((~v2_struct_0(X54)|(v2_struct_0(X54)|~v4_vectsp_1(X54))|~l4_algstr_0(X54))&(v3_vectsp_1(X54)|(v2_struct_0(X54)|~v4_vectsp_1(X54))|~l4_algstr_0(X54)))&(v6_vectsp_1(X54)|(v2_struct_0(X54)|~v4_vectsp_1(X54))|~l4_algstr_0(X54))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
cnf(c_0_25, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_26, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
fof(c_0_27, plain, ![X73, X74]:(v2_struct_0(X73)|~v3_vectsp_1(X73)|~l4_algstr_0(X73)|~m1_subset_1(X74,u1_struct_0(X73))|k6_algstr_0(X73,X74,k5_struct_0(X73))=X74), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])).
fof(c_0_28, negated_conjecture, (((((((((~v2_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))&l6_algstr_0(esk1_0))&(v7_ordinal1(esk2_0)&(m2_finseq_2(esk3_0,u1_struct_0(esk1_0),k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))&(m1_subset_1(esk4_0,u1_struct_0(esk1_0))&(v7_ordinal1(esk5_0)&((r1_xxreal_0(np__1,esk5_0)&r1_xxreal_0(esk5_0,esk2_0))&((v7_ordinal1(esk6_0)|k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk5_0),esk4_0),esk5_0)!=esk4_0)&(((r1_xxreal_0(np__1,esk6_0)|k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk5_0),esk4_0),esk5_0)!=esk4_0)&(r1_xxreal_0(esk6_0,esk2_0)|k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk5_0),esk4_0),esk5_0)!=esk4_0))&((esk6_0!=esk5_0|k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk5_0),esk4_0),esk5_0)!=esk4_0)&(k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk6_0),esk4_0),esk5_0)!=k4_struct_0(esk1_0)|k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk5_0),esk4_0),esk5_0)!=esk4_0)))))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])).
cnf(c_0_29, plain, (v3_vectsp_1(X1)|v2_struct_0(X1)|~v4_vectsp_1(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_30, plain, (l4_algstr_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
fof(c_0_31, plain, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:((~v2_struct_0(X3)&l3_algstr_0(X3))=>![X4]:(m1_subset_1(X4,u1_struct_0(X3))=>![X5]:(m1_subset_1(X5,u1_struct_0(X3))=>![X6]:(m2_finseq_2(X6,u1_struct_0(X3),k4_finseq_2(X1,u1_struct_0(X3)))=>((r2_tarski(X2,k2_finseq_1(X1))&X5=k1_funct_1(X6,X2))=>k1_funct_1(k10_fvsum_1(X1,X3,X6,X4),X2)=k6_algstr_0(X3,X4,X5)))))))), inference(fof_simplification,[status(thm)],[t51_fvsum_1])).
cnf(c_0_32, plain, (v2_struct_0(X1)|k6_algstr_0(X1,X2,k5_struct_0(X1))=X2|~v3_vectsp_1(X1)|~l4_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_33, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_34, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_35, plain, (v3_vectsp_1(X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v4_vectsp_1(X1)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_36, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_37, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_38, plain, ![X82, X83, X84, X85, X86, X87]:(~v7_ordinal1(X82)|(~v7_ordinal1(X83)|(v2_struct_0(X84)|~l3_algstr_0(X84)|(~m1_subset_1(X85,u1_struct_0(X84))|(~m1_subset_1(X86,u1_struct_0(X84))|(~m2_finseq_2(X87,u1_struct_0(X84),k4_finseq_2(X82,u1_struct_0(X84)))|(~r2_tarski(X83,k2_finseq_1(X82))|X86!=k1_funct_1(X87,X83)|k1_funct_1(k10_fvsum_1(X82,X84,X87,X85),X83)=k6_algstr_0(X84,X85,X86)))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
cnf(c_0_39, negated_conjecture, (k6_algstr_0(esk1_0,esk4_0,k5_struct_0(esk1_0))=esk4_0|~v3_vectsp_1(esk1_0)|~l4_algstr_0(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])).
cnf(c_0_40, negated_conjecture, (v3_vectsp_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37])]), c_0_34])).
fof(c_0_41, plain, ![X61]:((l3_struct_0(X61)|~l4_algstr_0(X61))&(l3_algstr_0(X61)|~l4_algstr_0(X61))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_algstr_0])])])).
cnf(c_0_42, plain, (v2_struct_0(X3)|k1_funct_1(k10_fvsum_1(X1,X3,X6,X4),X2)=k6_algstr_0(X3,X4,X5)|~v7_ordinal1(X1)|~v7_ordinal1(X2)|~l3_algstr_0(X3)|~m1_subset_1(X4,u1_struct_0(X3))|~m1_subset_1(X5,u1_struct_0(X3))|~m2_finseq_2(X6,u1_struct_0(X3),k4_finseq_2(X1,u1_struct_0(X3)))|~r2_tarski(X2,k2_finseq_1(X1))|X5!=k1_funct_1(X6,X2)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_43, negated_conjecture, (k6_algstr_0(esk1_0,esk4_0,k5_struct_0(esk1_0))=esk4_0|~l4_algstr_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
cnf(c_0_44, plain, (l3_algstr_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
fof(c_0_45, plain, ![X1, X2, X3]:(((((((((((~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_ordinal1(X3))=>m2_finseq_2(k9_vectsp13(X1,X2,X3),u1_struct_0(X1),k4_finseq_2(X2,u1_struct_0(X1)))), inference(fof_simplification,[status(thm)],[dt_k9_vectsp13])).
cnf(c_0_46, negated_conjecture, (k1_funct_1(k10_fvsum_1(X1,esk1_0,X2,esk4_0),X3)=esk4_0|k5_struct_0(esk1_0)!=k1_funct_1(X2,X3)|~r2_tarski(X3,k2_finseq_1(X1))|~l4_algstr_0(esk1_0)|~m1_subset_1(k5_struct_0(esk1_0),u1_struct_0(esk1_0))|~m2_finseq_2(X2,u1_struct_0(esk1_0),k4_finseq_2(X1,u1_struct_0(esk1_0)))|~v7_ordinal1(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_33])]), c_0_34]), c_0_44])).
fof(c_0_47, plain, ![X57]:(~l3_struct_0(X57)|m1_subset_1(k5_struct_0(X57),u1_struct_0(X57))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_struct_0])])).
fof(c_0_48, plain, ![X58, X59, X60]:(v2_struct_0(X58)|~v13_algstr_0(X58)|~v2_rlvect_1(X58)|~v3_rlvect_1(X58)|~v4_rlvect_1(X58)|~v4_vectsp_1(X58)|~v5_vectsp_1(X58)|~v3_group_1(X58)|~l6_algstr_0(X58)|~v7_ordinal1(X59)|~v7_ordinal1(X60)|m2_finseq_2(k9_vectsp13(X58,X59,X60),u1_struct_0(X58),k4_finseq_2(X59,u1_struct_0(X58)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])).
cnf(c_0_49, negated_conjecture, (k1_funct_1(k10_fvsum_1(X1,esk1_0,X2,esk4_0),X3)=esk4_0|k5_struct_0(esk1_0)!=k1_funct_1(X2,X3)|~r2_tarski(X3,k2_finseq_1(X1))|~m1_subset_1(k5_struct_0(esk1_0),u1_struct_0(esk1_0))|~m2_finseq_2(X2,u1_struct_0(esk1_0),k4_finseq_2(X1,u1_struct_0(esk1_0)))|~v7_ordinal1(X3)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_30]), c_0_36])])).
cnf(c_0_50, plain, (m1_subset_1(k5_struct_0(X1),u1_struct_0(X1))|~l3_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_51, plain, (v2_struct_0(X1)|m2_finseq_2(k9_vectsp13(X1,X2,X3),u1_struct_0(X1),k4_finseq_2(X2,u1_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_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_52, negated_conjecture, (v7_ordinal1(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_53, plain, ![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))=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>((r1_xxreal_0(np__1,X3)&r1_xxreal_0(X3,X2))=>(k1_funct_1(k9_vectsp13(X1,X2,X3),X3)=k5_struct_0(X1)&![X4]:(v7_ordinal1(X4)=>((r1_xxreal_0(np__1,X4)&r1_xxreal_0(X4,X2))=>(X4=X3|k1_funct_1(k9_vectsp13(X1,X2,X3),X4)=k4_struct_0(X1))))))))), inference(fof_simplification,[status(thm)],[t23_vectsp13])).
cnf(c_0_54, negated_conjecture, (k1_funct_1(k10_fvsum_1(X1,esk1_0,X2,esk4_0),X3)=esk4_0|k5_struct_0(esk1_0)!=k1_funct_1(X2,X3)|~r2_tarski(X3,k2_finseq_1(X1))|~l3_struct_0(esk1_0)|~m2_finseq_2(X2,u1_struct_0(esk1_0),k4_finseq_2(X1,u1_struct_0(esk1_0)))|~v7_ordinal1(X3)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_55, plain, (l3_struct_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_56, negated_conjecture, (m2_finseq_2(k9_vectsp13(X1,X2,esk5_0),u1_struct_0(X1),k4_finseq_2(X2,u1_struct_0(X1)))|v2_struct_0(X1)|~v7_ordinal1(X2)|~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_51, c_0_52])).
cnf(c_0_57, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_58, plain, ![X78, X79, X80, X81]:((k1_funct_1(k9_vectsp13(X78,X79,X80),X80)=k5_struct_0(X78)|(~r1_xxreal_0(np__1,X80)|~r1_xxreal_0(X80,X79))|~v7_ordinal1(X80)|~v7_ordinal1(X79)|(v2_struct_0(X78)|~v13_algstr_0(X78)|~v2_rlvect_1(X78)|~v3_rlvect_1(X78)|~v4_rlvect_1(X78)|~v4_vectsp_1(X78)|~v5_vectsp_1(X78)|~v3_group_1(X78)|~l6_algstr_0(X78)))&(~v7_ordinal1(X81)|(~r1_xxreal_0(np__1,X81)|~r1_xxreal_0(X81,X79)|(X81=X80|k1_funct_1(k9_vectsp13(X78,X79,X80),X81)=k4_struct_0(X78)))|(~r1_xxreal_0(np__1,X80)|~r1_xxreal_0(X80,X79))|~v7_ordinal1(X80)|~v7_ordinal1(X79)|(v2_struct_0(X78)|~v13_algstr_0(X78)|~v2_rlvect_1(X78)|~v3_rlvect_1(X78)|~v4_rlvect_1(X78)|~v4_vectsp_1(X78)|~v5_vectsp_1(X78)|~v3_group_1(X78)|~l6_algstr_0(X78)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])])).
cnf(c_0_59, negated_conjecture, (k1_funct_1(k10_fvsum_1(X1,esk1_0,X2,esk4_0),X3)=esk4_0|k5_struct_0(esk1_0)!=k1_funct_1(X2,X3)|~r2_tarski(X3,k2_finseq_1(X1))|~l4_algstr_0(esk1_0)|~m2_finseq_2(X2,u1_struct_0(esk1_0),k4_finseq_2(X1,u1_struct_0(esk1_0)))|~v7_ordinal1(X3)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_54, c_0_55])).
cnf(c_0_60, negated_conjecture, (m2_finseq_2(k9_vectsp13(X1,esk2_0,esk5_0),u1_struct_0(X1),k4_finseq_2(esk2_0,u1_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_56, c_0_57])).
cnf(c_0_61, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_62, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_63, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_64, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_65, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_66, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_67, plain, (k1_funct_1(k9_vectsp13(X1,X2,X3),X3)=k5_struct_0(X1)|v2_struct_0(X1)|~r1_xxreal_0(np__1,X3)|~r1_xxreal_0(X3,X2)|~v7_ordinal1(X3)|~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)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_68, negated_conjecture, (r1_xxreal_0(np__1,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_69, negated_conjecture, (k1_funct_1(k10_fvsum_1(X1,esk1_0,X2,esk4_0),X3)=esk4_0|k5_struct_0(esk1_0)!=k1_funct_1(X2,X3)|~r2_tarski(X3,k2_finseq_1(X1))|~m2_finseq_2(X2,u1_struct_0(esk1_0),k4_finseq_2(X1,u1_struct_0(esk1_0)))|~v7_ordinal1(X3)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_30]), c_0_36])])).
cnf(c_0_70, negated_conjecture, (m2_finseq_2(k9_vectsp13(esk1_0,esk2_0,esk5_0),u1_struct_0(esk1_0),k4_finseq_2(esk2_0,u1_struct_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_60, c_0_36]), c_0_61]), c_0_62]), c_0_37]), c_0_63]), c_0_64]), c_0_65]), c_0_66])]), c_0_34])).
cnf(c_0_71, negated_conjecture, (k1_funct_1(k9_vectsp13(X1,X2,esk5_0),esk5_0)=k5_struct_0(X1)|v2_struct_0(X1)|~r1_xxreal_0(esk5_0,X2)|~v7_ordinal1(X2)|~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(spm,[status(thm)],[c_0_67, c_0_68]), c_0_52])])).
cnf(c_0_72, negated_conjecture, (r1_xxreal_0(esk5_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_73, negated_conjecture, (v7_ordinal1(esk6_0)|k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk5_0),esk4_0),esk5_0)!=esk4_0), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_74, negated_conjecture, (k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk5_0),esk4_0),X1)=esk4_0|k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk5_0),X1)!=k5_struct_0(esk1_0)|~r2_tarski(X1,k2_finseq_1(esk2_0))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_57])])).
cnf(c_0_75, negated_conjecture, (k1_funct_1(k9_vectsp13(X1,esk2_0,esk5_0),esk5_0)=k5_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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_57])])).
fof(c_0_76, plain, ![X1, X2, X3]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v1_vectsp_1(X1))&l6_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&v9_struct_0(X3,X1))&m1_subset_1(X3,u1_struct_0(X1)))=>k6_algstr_0(X1,X2,X3)=X3), inference(fof_simplification,[status(thm)],[rd3_vectsp_1])).
fof(c_0_77, plain, ![X1]:(l6_algstr_0(X1)=>((~v2_struct_0(X1)&v5_vectsp_1(X1))=>((~v2_struct_0(X1)&v1_vectsp_1(X1))&v2_vectsp_1(X1)))), inference(fof_simplification,[status(thm)],[cc1_vectsp_1])).
cnf(c_0_78, negated_conjecture, (v7_ordinal1(esk6_0)|k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk5_0),esk5_0)!=k5_struct_0(esk1_0)|~r2_tarski(esk5_0,k2_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_52])])).
cnf(c_0_79, negated_conjecture, (k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk5_0),esk5_0)=k5_struct_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_75, c_0_36]), c_0_61]), c_0_62]), c_0_37]), c_0_63]), c_0_64]), c_0_65]), c_0_66])]), c_0_34])).
fof(c_0_80, plain, ![X75]:(~v7_ordinal1(X75)|k2_finseq_1(X75)=k1_finseq_1(X75)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_finseq_1])])).
fof(c_0_81, plain, ![X70, X71, X72]:(v2_struct_0(X70)|~v13_algstr_0(X70)|~v3_rlvect_1(X70)|~v4_rlvect_1(X70)|~v1_vectsp_1(X70)|~l6_algstr_0(X70)|~m1_subset_1(X71,u1_struct_0(X70))|~v9_struct_0(X72,X70)|~m1_subset_1(X72,u1_struct_0(X70))|k6_algstr_0(X70,X71,X72)=X72), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])).
fof(c_0_82, plain, ![X56]:(~l2_struct_0(X56)|m1_subset_1(k4_struct_0(X56),u1_struct_0(X56))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_struct_0])])).
fof(c_0_83, plain, ![X65]:(~l2_struct_0(X65)|v9_struct_0(k4_struct_0(X65),X65)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_struct_0])])).
fof(c_0_84, plain, ![X53]:(((~v2_struct_0(X53)|(v2_struct_0(X53)|~v5_vectsp_1(X53))|~l6_algstr_0(X53))&(v1_vectsp_1(X53)|(v2_struct_0(X53)|~v5_vectsp_1(X53))|~l6_algstr_0(X53)))&(v2_vectsp_1(X53)|(v2_struct_0(X53)|~v5_vectsp_1(X53))|~l6_algstr_0(X53))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])])).
cnf(c_0_85, negated_conjecture, (v7_ordinal1(esk6_0)|~r2_tarski(esk5_0,k2_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78, c_0_79])])).
cnf(c_0_86, plain, (k2_finseq_1(X1)=k1_finseq_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_80])).
fof(c_0_87, plain, ![X55]:(~v7_ordinal1(X55)|k1_finseq_1(X55)=a_1_0_finseq_1(X55)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_finseq_1])])).
cnf(c_0_88, plain, (v2_struct_0(X1)|k6_algstr_0(X1,X2,X3)=X3|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v1_vectsp_1(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v9_struct_0(X3,X1)|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_89, plain, (m1_subset_1(k4_struct_0(X1),u1_struct_0(X1))|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_90, plain, (v9_struct_0(k4_struct_0(X1),X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_91, plain, (v1_vectsp_1(X1)|v2_struct_0(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_84])).
cnf(c_0_92, negated_conjecture, (v7_ordinal1(esk6_0)|~r2_tarski(esk5_0,k1_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_57])])).
cnf(c_0_93, plain, (k1_finseq_1(X1)=a_1_0_finseq_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_87])).
fof(c_0_94, plain, ![X76, X77]:((~r2_tarski(X76,X77)|r2_hidden(X76,X77))&(~r2_hidden(X76,X77)|r2_tarski(X76,X77))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_95, plain, ![X66, X67, X69]:(((((v7_ordinal1(esk7_2(X66,X67))|~r2_hidden(X66,a_1_0_finseq_1(X67))|~v7_ordinal1(X67))&(X66=esk7_2(X66,X67)|~r2_hidden(X66,a_1_0_finseq_1(X67))|~v7_ordinal1(X67)))&(r1_xxreal_0(np__1,esk7_2(X66,X67))|~r2_hidden(X66,a_1_0_finseq_1(X67))|~v7_ordinal1(X67)))&(r1_xxreal_0(esk7_2(X66,X67),X67)|~r2_hidden(X66,a_1_0_finseq_1(X67))|~v7_ordinal1(X67)))&(~v7_ordinal1(X69)|X66!=X69|~r1_xxreal_0(np__1,X69)|~r1_xxreal_0(X69,X67)|r2_hidden(X66,a_1_0_finseq_1(X67))|~v7_ordinal1(X67))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fraenkel_a_1_0_finseq_1])])])])])).
cnf(c_0_96, plain, (k6_algstr_0(X1,X2,k4_struct_0(X1))=k4_struct_0(X1)|v2_struct_0(X1)|~l2_struct_0(X1)|~v1_vectsp_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~l6_algstr_0(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_90])).
cnf(c_0_97, negated_conjecture, (v1_vectsp_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_36]), c_0_62])]), c_0_34])).
cnf(c_0_98, negated_conjecture, (v7_ordinal1(esk6_0)|~r2_tarski(esk5_0,a_1_0_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_93]), c_0_57])])).
cnf(c_0_99, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_100, plain, (r2_hidden(X2,a_1_0_finseq_1(X3))|~v7_ordinal1(X1)|X2!=X1|~r1_xxreal_0(np__1,X1)|~r1_xxreal_0(X1,X3)|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_95])).
cnf(c_0_101, negated_conjecture, (k6_algstr_0(esk1_0,esk4_0,k4_struct_0(esk1_0))=k4_struct_0(esk1_0)|~l2_struct_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(spm,[status(thm)],[c_0_96, c_0_33]), c_0_97]), c_0_36]), c_0_63]), c_0_64]), c_0_66])]), c_0_34])).
fof(c_0_102, plain, ![X62]:((l2_struct_0(X62)|~l4_struct_0(X62))&(l3_struct_0(X62)|~l4_struct_0(X62))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_struct_0])])])).
cnf(c_0_103, negated_conjecture, (v7_ordinal1(esk6_0)|~r2_hidden(esk5_0,a_1_0_finseq_1(esk2_0))), inference(spm,[status(thm)],[c_0_98, c_0_99])).
cnf(c_0_104, plain, (r2_hidden(X1,a_1_0_finseq_1(X2))|~r1_xxreal_0(np__1,X1)|~r1_xxreal_0(X1,X2)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(er,[status(thm)],[c_0_100])).
cnf(c_0_105, negated_conjecture, (k1_funct_1(k10_fvsum_1(X1,esk1_0,X2,esk4_0),X3)=k4_struct_0(esk1_0)|k4_struct_0(esk1_0)!=k1_funct_1(X2,X3)|~r2_tarski(X3,k2_finseq_1(X1))|~l3_algstr_0(esk1_0)|~l2_struct_0(esk1_0)|~m2_finseq_2(X2,u1_struct_0(esk1_0),k4_finseq_2(X1,u1_struct_0(esk1_0)))|~v7_ordinal1(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_101]), c_0_33])]), c_0_34]), c_0_89])).
cnf(c_0_106, plain, (l2_struct_0(X1)|~l4_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_102])).
cnf(c_0_107, plain, (l4_struct_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_108, negated_conjecture, (v7_ordinal1(esk6_0)), 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_103, c_0_104]), c_0_68]), c_0_72]), c_0_57]), c_0_52])])).
cnf(c_0_109, negated_conjecture, (k1_funct_1(k10_fvsum_1(X1,esk1_0,X2,esk4_0),X3)=k4_struct_0(esk1_0)|k4_struct_0(esk1_0)!=k1_funct_1(X2,X3)|~r2_tarski(X3,k2_finseq_1(X1))|~l2_struct_0(esk1_0)|~l4_algstr_0(esk1_0)|~m2_finseq_2(X2,u1_struct_0(esk1_0),k4_finseq_2(X1,u1_struct_0(esk1_0)))|~v7_ordinal1(X3)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_105, c_0_44])).
cnf(c_0_110, plain, (l2_struct_0(X1)|~l5_algstr_0(X1)), inference(spm,[status(thm)],[c_0_106, c_0_107])).
cnf(c_0_111, negated_conjecture, (m2_finseq_2(k9_vectsp13(X1,X2,esk6_0),u1_struct_0(X1),k4_finseq_2(X2,u1_struct_0(X1)))|v2_struct_0(X1)|~v7_ordinal1(X2)|~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_51, c_0_108])).
cnf(c_0_112, negated_conjecture, (r1_xxreal_0(np__1,esk6_0)|k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk5_0),esk4_0),esk5_0)!=esk4_0), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_113, negated_conjecture, (esk6_0!=esk5_0|k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk5_0),esk4_0),esk5_0)!=esk4_0), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_114, negated_conjecture, (k1_funct_1(k10_fvsum_1(X1,esk1_0,X2,esk4_0),X3)=k4_struct_0(esk1_0)|k4_struct_0(esk1_0)!=k1_funct_1(X2,X3)|~r2_tarski(X3,k2_finseq_1(X1))|~l5_algstr_0(esk1_0)|~m2_finseq_2(X2,u1_struct_0(esk1_0),k4_finseq_2(X1,u1_struct_0(esk1_0)))|~v7_ordinal1(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_110]), c_0_25])).
cnf(c_0_115, negated_conjecture, (m2_finseq_2(k9_vectsp13(X1,esk2_0,esk6_0),u1_struct_0(X1),k4_finseq_2(esk2_0,u1_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_111, c_0_57])).
cnf(c_0_116, negated_conjecture, (r1_xxreal_0(np__1,esk6_0)|~r2_tarski(esk5_0,k2_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_74]), c_0_52])]), c_0_79])])).
cnf(c_0_117, negated_conjecture, (k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk5_0),esk5_0)!=k5_struct_0(esk1_0)|esk6_0!=esk5_0|~r2_tarski(esk5_0,k2_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_74]), c_0_52])])).
cnf(c_0_118, negated_conjecture, (k1_funct_1(k10_fvsum_1(X1,esk1_0,X2,esk4_0),X3)=k4_struct_0(esk1_0)|k4_struct_0(esk1_0)!=k1_funct_1(X2,X3)|~r2_tarski(X3,k2_finseq_1(X1))|~m2_finseq_2(X2,u1_struct_0(esk1_0),k4_finseq_2(X1,u1_struct_0(esk1_0)))|~v7_ordinal1(X3)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_26]), c_0_36])])).
cnf(c_0_119, negated_conjecture, (m2_finseq_2(k9_vectsp13(esk1_0,esk2_0,esk6_0),u1_struct_0(esk1_0),k4_finseq_2(esk2_0,u1_struct_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_115, c_0_36]), c_0_61]), c_0_62]), c_0_37]), c_0_63]), c_0_64]), c_0_65]), c_0_66])]), c_0_34])).
cnf(c_0_120, negated_conjecture, (r1_xxreal_0(np__1,esk6_0)|~r2_tarski(esk5_0,k1_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_86]), c_0_57])])).
cnf(c_0_121, negated_conjecture, (k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk5_0),esk5_0)!=k5_struct_0(esk1_0)|esk6_0!=esk5_0|~r2_tarski(esk5_0,k1_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_86]), c_0_57])])).
cnf(c_0_122, negated_conjecture, (r1_xxreal_0(esk6_0,esk2_0)|k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk5_0),esk4_0),esk5_0)!=esk4_0), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_123, negated_conjecture, (k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk6_0),esk4_0),esk5_0)!=k4_struct_0(esk1_0)|k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk5_0),esk4_0),esk5_0)!=esk4_0), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_124, negated_conjecture, (k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk6_0),esk4_0),X1)=k4_struct_0(esk1_0)|k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk6_0),X1)!=k4_struct_0(esk1_0)|~r2_tarski(X1,k2_finseq_1(esk2_0))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_119]), c_0_57])])).
cnf(c_0_125, negated_conjecture, (r1_xxreal_0(np__1,esk6_0)|~r2_tarski(esk5_0,a_1_0_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_93]), c_0_57])])).
cnf(c_0_126, negated_conjecture, (k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk5_0),esk5_0)!=k5_struct_0(esk1_0)|esk6_0!=esk5_0|~r2_tarski(esk5_0,a_1_0_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_93]), c_0_57])])).
cnf(c_0_127, negated_conjecture, (r1_xxreal_0(esk6_0,esk2_0)|~r2_tarski(esk5_0,k2_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_74]), c_0_52])]), c_0_79])])).
cnf(c_0_128, negated_conjecture, (k1_funct_1(k10_fvsum_1(esk2_0,esk1_0,k9_vectsp13(esk1_0,esk2_0,esk5_0),esk4_0),esk5_0)!=esk4_0|k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk6_0),esk5_0)!=k4_struct_0(esk1_0)|~r2_tarski(esk5_0,k2_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_124]), c_0_52])])).
cnf(c_0_129, negated_conjecture, (r1_xxreal_0(np__1,esk6_0)|~r2_hidden(esk5_0,a_1_0_finseq_1(esk2_0))), inference(spm,[status(thm)],[c_0_125, c_0_99])).
cnf(c_0_130, negated_conjecture, (esk6_0!=esk5_0|~r2_tarski(esk5_0,a_1_0_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126, c_0_79])])).
cnf(c_0_131, negated_conjecture, (r1_xxreal_0(esk6_0,esk2_0)|~r2_tarski(esk5_0,k1_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_86]), c_0_57])])).
cnf(c_0_132, negated_conjecture, (k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk6_0),esk5_0)!=k4_struct_0(esk1_0)|~r2_tarski(esk5_0,k2_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128, c_0_74]), c_0_79]), c_0_52])])).
cnf(c_0_133, plain, (X1=X3|k1_funct_1(k9_vectsp13(X4,X2,X3),X1)=k4_struct_0(X4)|v2_struct_0(X4)|~v7_ordinal1(X1)|~r1_xxreal_0(np__1,X1)|~r1_xxreal_0(X1,X2)|~r1_xxreal_0(np__1,X3)|~r1_xxreal_0(X3,X2)|~v7_ordinal1(X3)|~v7_ordinal1(X2)|~v13_algstr_0(X4)|~v2_rlvect_1(X4)|~v3_rlvect_1(X4)|~v4_rlvect_1(X4)|~v4_vectsp_1(X4)|~v5_vectsp_1(X4)|~v3_group_1(X4)|~l6_algstr_0(X4)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_134, negated_conjecture, (r1_xxreal_0(np__1,esk6_0)), 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_129, c_0_104]), c_0_68]), c_0_72]), c_0_57]), c_0_52])])).
cnf(c_0_135, negated_conjecture, (esk6_0!=esk5_0|~r2_hidden(esk5_0,a_1_0_finseq_1(esk2_0))), inference(spm,[status(thm)],[c_0_130, c_0_99])).
cnf(c_0_136, negated_conjecture, (r1_xxreal_0(esk6_0,esk2_0)|~r2_tarski(esk5_0,a_1_0_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_93]), c_0_57])])).
cnf(c_0_137, negated_conjecture, (k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk6_0),esk5_0)!=k4_struct_0(esk1_0)|~r2_tarski(esk5_0,k1_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_86]), c_0_57])])).
cnf(c_0_138, negated_conjecture, (k1_funct_1(k9_vectsp13(X1,X2,esk6_0),X3)=k4_struct_0(X1)|X3=esk6_0|v2_struct_0(X1)|~r1_xxreal_0(np__1,X3)|~r1_xxreal_0(esk6_0,X2)|~r1_xxreal_0(X3,X2)|~v7_ordinal1(X2)|~v7_ordinal1(X3)|~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(spm,[status(thm)],[c_0_133, c_0_134]), c_0_108])])).
cnf(c_0_139, negated_conjecture, (esk6_0!=esk5_0), 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_135, c_0_104]), c_0_68]), c_0_72]), c_0_57]), c_0_52])])).
cnf(c_0_140, negated_conjecture, (r1_xxreal_0(esk6_0,esk2_0)|~r2_hidden(esk5_0,a_1_0_finseq_1(esk2_0))), inference(spm,[status(thm)],[c_0_136, c_0_99])).
cnf(c_0_141, negated_conjecture, (k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk6_0),esk5_0)!=k4_struct_0(esk1_0)|~r2_tarski(esk5_0,a_1_0_finseq_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137, c_0_93]), c_0_57])])).
cnf(c_0_142, negated_conjecture, (k1_funct_1(k9_vectsp13(X1,X2,esk6_0),esk5_0)=k4_struct_0(X1)|v2_struct_0(X1)|~r1_xxreal_0(esk6_0,X2)|~r1_xxreal_0(esk5_0,X2)|~v7_ordinal1(X2)|~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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_68]), c_0_52])]), c_0_139])).
cnf(c_0_143, negated_conjecture, (r1_xxreal_0(esk6_0,esk2_0)), 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_104]), c_0_68]), c_0_72]), c_0_57]), c_0_52])])).
cnf(c_0_144, negated_conjecture, (k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk6_0),esk5_0)!=k4_struct_0(esk1_0)|~r2_hidden(esk5_0,a_1_0_finseq_1(esk2_0))), inference(spm,[status(thm)],[c_0_141, c_0_99])).
cnf(c_0_145, negated_conjecture, (k1_funct_1(k9_vectsp13(X1,esk2_0,esk6_0),esk5_0)=k4_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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_143]), c_0_72]), c_0_57])])).
cnf(c_0_146, negated_conjecture, (k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk6_0),esk5_0)!=k4_struct_0(esk1_0)), 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_144, c_0_104]), c_0_68]), c_0_72]), c_0_57]), c_0_52])])).
cnf(c_0_147, negated_conjecture, ($false), 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_145, c_0_36]), c_0_61]), c_0_62]), c_0_37]), c_0_63]), c_0_64]), c_0_65]), c_0_66])]), c_0_146]), c_0_34]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 148
# Proof object clause steps            : 102
# Proof object formula steps           : 46
# Proof object conjectures             : 79
# Proof object clause conjectures      : 76
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 40
# Proof object initial formulas used   : 19
# Proof object generating inferences   : 58
# Proof object simplifying inferences  : 152
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 19
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 52
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 50
# Processed clauses                    : 322
# ...of these trivial                  : 0
# ...subsumed                          : 59
# ...remaining for further processing  : 263
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 28
# Backward-rewritten                   : 28
# Generated clauses                    : 450
# ...of the previous two non-trivial   : 449
# Contextual simplify-reflections      : 21
# Paramodulations                      : 449
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 1
# 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  : 206
#    Positive orientable unit clauses  : 37
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 166
# Current number of unprocessed clauses: 157
# ...number of literals in the above   : 1419
# Current number of archived formulas  : 0
# Current number of archived clauses   : 56
# Clause-clause subsumption calls (NU) : 17580
# Rec. Clause-clause subsumption calls : 851
# Non-unit clause-clause subsumptions  : 105
# Unit Clause-clause subsumption calls : 156
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 24
# BW rewrite match successes           : 5
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 24034

# -------------------------------------------------
# User time                : 0.048 s
# System time              : 0.004 s
# Total time               : 0.052 s
# Maximum resident set size: 3328 pages
