# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S002A
# and selection function SelectNegativeLiterals.
#
# Preprocessing time       : 0.013 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(redefinition_k12_finseq_1, axiom, ![X1, X2]:((~(v1_xboole_0(X1))&m1_subset_1(X2,X1))=>k12_finseq_1(X1,X2)=k5_finseq_1(X2)), file('proofs_1/proofs_1__t1_proofs_1', redefinition_k12_finseq_1)).
fof(t1_proofs_1, conjecture, ![X1]:(~(v1_xboole_0(X1))=>![X2]:((v1_relat_1(X2)&v1_proofs_1(X2))=>![X3]:(m1_subset_1(X3,X1)=>v2_proofs_1(k12_finseq_1(X1,X3),X1,X2)))), file('proofs_1/proofs_1__t1_proofs_1', t1_proofs_1)).
fof(fc7_finseq_1, axiom, ![X1]:v1_finseq_1(k5_finseq_1(X1)), file('proofs_1/proofs_1__t1_proofs_1', fc7_finseq_1)).
fof(fc6_finseq_1, axiom, ![X1]:(v1_relat_1(k5_finseq_1(X1))&v1_funct_1(k5_finseq_1(X1))), file('proofs_1/proofs_1__t1_proofs_1', fc6_finseq_1)).
fof(t38_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>![X2]:(X1=k9_finseq_1(X2)<=>(k4_finseq_1(X1)=k2_finseq_1(np__1)&k10_xtuple_0(X1)=k1_tarski(X2)))), file('proofs_1/proofs_1__t1_proofs_1', t38_finseq_1)).
fof(redefinition_k9_finseq_1, axiom, ![X1]:k9_finseq_1(X1)=k5_finseq_1(X1), file('proofs_1/proofs_1__t1_proofs_1', redefinition_k9_finseq_1)).
fof(d7_proofs_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_proofs_1(X2))=>![X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v1_finseq_1(X3))=>(v2_proofs_1(X3,X1,X2)<=>![X4]:(v7_ordinal1(X4)=>(r2_tarski(X4,k9_xtuple_0(X3))=>r1_proofs_1(X1,X2,X3,X4)))))), file('proofs_1/proofs_1__t1_proofs_1', d7_proofs_1)).
fof(t3_funct_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>(r2_hidden(X1,k9_xtuple_0(X2))=>r2_tarski(k1_funct_1(X2,X1),k10_xtuple_0(X2)))), file('proofs_1/proofs_1__t1_proofs_1', t3_funct_1)).
fof(d6_proofs_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_proofs_1(X2))=>![X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v1_finseq_1(X3))=>![X4]:(v7_ordinal1(X4)=>(r1_proofs_1(X1,X2,X3,X4)<=>~((~(r2_tarski(k1_funct_1(X3,X4),X1))&![X5]:(v1_finset_1(X5)=>~((r2_hidden(k4_tarski(X5,k1_funct_1(X3,X4)),X2)&![X6]:~((r2_hidden(X6,X5)&![X7]:(v7_ordinal1(X7)=>~(((r2_tarski(X7,k9_xtuple_0(X3))&~(r1_xxreal_0(X4,X7)))&k1_funct_1(X3,X7)=X6)))))))))))))), file('proofs_1/proofs_1__t1_proofs_1', d6_proofs_1)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('proofs_1/proofs_1__t1_proofs_1', redefinition_r2_tarski)).
fof(d1_tarski, axiom, ![X1, X2]:(X2=k1_tarski(X1)<=>![X3]:(r2_hidden(X3,X2)<=>X3=X1)), file('proofs_1/proofs_1__t1_proofs_1', d1_tarski)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('proofs_1/proofs_1__t1_proofs_1', t2_subset)).
fof(c_0_12, plain, ![X1, X2]:((~v1_xboole_0(X1)&m1_subset_1(X2,X1))=>k12_finseq_1(X1,X2)=k5_finseq_1(X2)), inference(fof_simplification,[status(thm)],[redefinition_k12_finseq_1])).
fof(c_0_13, negated_conjecture, ~(![X1]:(~v1_xboole_0(X1)=>![X2]:((v1_relat_1(X2)&v1_proofs_1(X2))=>![X3]:(m1_subset_1(X3,X1)=>v2_proofs_1(k12_finseq_1(X1,X3),X1,X2))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t1_proofs_1])])).
fof(c_0_14, plain, ![X65, X66]:(v1_xboole_0(X65)|~m1_subset_1(X66,X65)|k12_finseq_1(X65,X66)=k5_finseq_1(X66)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])).
fof(c_0_15, negated_conjecture, (~v1_xboole_0(esk1_0)&((v1_relat_1(esk2_0)&v1_proofs_1(esk2_0))&(m1_subset_1(esk3_0,esk1_0)&~v2_proofs_1(k12_finseq_1(esk1_0,esk3_0),esk1_0,esk2_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])).
fof(c_0_16, plain, ![X64]:v1_finseq_1(k5_finseq_1(X64)), inference(variable_rename,[status(thm)],[fc7_finseq_1])).
cnf(c_0_17, plain, (v1_xboole_0(X1)|k12_finseq_1(X1,X2)=k5_finseq_1(X2)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_18, negated_conjecture, (m1_subset_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_19, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
fof(c_0_20, plain, ![X63]:(v1_relat_1(k5_finseq_1(X63))&v1_funct_1(k5_finseq_1(X63))), inference(variable_rename,[status(thm)],[fc6_finseq_1])).
fof(c_0_21, plain, ![X72, X73]:(((k4_finseq_1(X72)=k2_finseq_1(np__1)|X72!=k9_finseq_1(X73)|(~v1_relat_1(X72)|~v1_funct_1(X72)|~v1_finseq_1(X72)))&(k10_xtuple_0(X72)=k1_tarski(X73)|X72!=k9_finseq_1(X73)|(~v1_relat_1(X72)|~v1_funct_1(X72)|~v1_finseq_1(X72))))&(k4_finseq_1(X72)!=k2_finseq_1(np__1)|k10_xtuple_0(X72)!=k1_tarski(X73)|X72=k9_finseq_1(X73)|(~v1_relat_1(X72)|~v1_funct_1(X72)|~v1_finseq_1(X72)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t38_finseq_1])])])])).
fof(c_0_22, plain, ![X67]:k9_finseq_1(X67)=k5_finseq_1(X67), inference(variable_rename,[status(thm)],[redefinition_k9_finseq_1])).
fof(c_0_23, plain, ![X58, X59, X60, X61]:((~v2_proofs_1(X60,X58,X59)|(~v7_ordinal1(X61)|(~r2_tarski(X61,k9_xtuple_0(X60))|r1_proofs_1(X58,X59,X60,X61)))|(~v1_relat_1(X60)|~v1_funct_1(X60)|~v1_finseq_1(X60))|(~v1_relat_1(X59)|~v1_proofs_1(X59)))&((v7_ordinal1(esk8_3(X58,X59,X60))|v2_proofs_1(X60,X58,X59)|(~v1_relat_1(X60)|~v1_funct_1(X60)|~v1_finseq_1(X60))|(~v1_relat_1(X59)|~v1_proofs_1(X59)))&((r2_tarski(esk8_3(X58,X59,X60),k9_xtuple_0(X60))|v2_proofs_1(X60,X58,X59)|(~v1_relat_1(X60)|~v1_funct_1(X60)|~v1_finseq_1(X60))|(~v1_relat_1(X59)|~v1_proofs_1(X59)))&(~r1_proofs_1(X58,X59,X60,esk8_3(X58,X59,X60))|v2_proofs_1(X60,X58,X59)|(~v1_relat_1(X60)|~v1_funct_1(X60)|~v1_finseq_1(X60))|(~v1_relat_1(X59)|~v1_proofs_1(X59)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_proofs_1])])])])])).
cnf(c_0_24, plain, (v1_finseq_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_25, negated_conjecture, (k5_finseq_1(esk3_0)=k12_finseq_1(esk1_0,esk3_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])).
cnf(c_0_26, plain, (v1_funct_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_27, plain, (v1_relat_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_28, plain, (k10_xtuple_0(X1)=k1_tarski(X2)|X1!=k9_finseq_1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_29, plain, (k9_finseq_1(X1)=k5_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_30, plain, (r2_tarski(esk8_3(X1,X2,X3),k9_xtuple_0(X3))|v2_proofs_1(X3,X1,X2)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v1_finseq_1(X3)|~v1_relat_1(X2)|~v1_proofs_1(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_31, negated_conjecture, (v1_finseq_1(k12_finseq_1(esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_32, negated_conjecture, (v1_funct_1(k12_finseq_1(esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_26, c_0_25])).
cnf(c_0_33, negated_conjecture, (v1_relat_1(k12_finseq_1(esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_27, c_0_25])).
fof(c_0_34, plain, ![X74, X75]:(~v1_relat_1(X75)|~v1_funct_1(X75)|(~r2_hidden(X74,k9_xtuple_0(X75))|r2_tarski(k1_funct_1(X75,X74),k10_xtuple_0(X75)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_funct_1])])).
cnf(c_0_35, plain, (k10_xtuple_0(X1)=k1_tarski(X2)|X1!=k5_finseq_1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(rw,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_36, negated_conjecture, (r2_tarski(esk8_3(X1,X2,k12_finseq_1(esk1_0,esk3_0)),k9_xtuple_0(k12_finseq_1(esk1_0,esk3_0)))|v2_proofs_1(k12_finseq_1(esk1_0,esk3_0),X1,X2)|~v1_proofs_1(X2)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32]), c_0_33])])).
cnf(c_0_37, negated_conjecture, (v1_proofs_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_38, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
fof(c_0_39, plain, ![X1, X2]:((v1_relat_1(X2)&v1_proofs_1(X2))=>![X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v1_finseq_1(X3))=>![X4]:(v7_ordinal1(X4)=>(r1_proofs_1(X1,X2,X3,X4)<=>~((~r2_tarski(k1_funct_1(X3,X4),X1)&![X5]:(v1_finset_1(X5)=>~((r2_hidden(k4_tarski(X5,k1_funct_1(X3,X4)),X2)&![X6]:~((r2_hidden(X6,X5)&![X7]:(v7_ordinal1(X7)=>~(((r2_tarski(X7,k9_xtuple_0(X3))&~r1_xxreal_0(X4,X7))&k1_funct_1(X3,X7)=X6)))))))))))))), inference(fof_simplification,[status(thm)],[d6_proofs_1])).
cnf(c_0_40, plain, (v7_ordinal1(esk8_3(X1,X2,X3))|v2_proofs_1(X3,X1,X2)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v1_finseq_1(X3)|~v1_relat_1(X2)|~v1_proofs_1(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_41, plain, (r2_tarski(k1_funct_1(X1,X2),k10_xtuple_0(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~r2_hidden(X2,k9_xtuple_0(X1))), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_42, plain, (k10_xtuple_0(k5_finseq_1(X1))=k1_tarski(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_35]), c_0_24]), c_0_26]), c_0_27])])).
fof(c_0_43, plain, ![X68, X69]:((~r2_tarski(X68,X69)|r2_hidden(X68,X69))&(~r2_hidden(X68,X69)|r2_tarski(X68,X69))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_44, negated_conjecture, (~v2_proofs_1(k12_finseq_1(esk1_0,esk3_0),esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_45, negated_conjecture, (r2_tarski(esk8_3(X1,esk2_0,k12_finseq_1(esk1_0,esk3_0)),k9_xtuple_0(k12_finseq_1(esk1_0,esk3_0)))|v2_proofs_1(k12_finseq_1(esk1_0,esk3_0),X1,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])])).
fof(c_0_46, plain, ![X48, X49, X50, X51, X53, X55, X57]:(((v1_finset_1(esk5_4(X48,X49,X50,X51))|r2_tarski(k1_funct_1(X50,X51),X48)|~r1_proofs_1(X48,X49,X50,X51)|~v7_ordinal1(X51)|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v1_finseq_1(X50))|(~v1_relat_1(X49)|~v1_proofs_1(X49)))&((r2_hidden(k4_tarski(esk5_4(X48,X49,X50,X51),k1_funct_1(X50,X51)),X49)|r2_tarski(k1_funct_1(X50,X51),X48)|~r1_proofs_1(X48,X49,X50,X51)|~v7_ordinal1(X51)|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v1_finseq_1(X50))|(~v1_relat_1(X49)|~v1_proofs_1(X49)))&((v7_ordinal1(esk6_5(X48,X49,X50,X51,X53))|~r2_hidden(X53,esk5_4(X48,X49,X50,X51))|r2_tarski(k1_funct_1(X50,X51),X48)|~r1_proofs_1(X48,X49,X50,X51)|~v7_ordinal1(X51)|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v1_finseq_1(X50))|(~v1_relat_1(X49)|~v1_proofs_1(X49)))&(((r2_tarski(esk6_5(X48,X49,X50,X51,X53),k9_xtuple_0(X50))|~r2_hidden(X53,esk5_4(X48,X49,X50,X51))|r2_tarski(k1_funct_1(X50,X51),X48)|~r1_proofs_1(X48,X49,X50,X51)|~v7_ordinal1(X51)|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v1_finseq_1(X50))|(~v1_relat_1(X49)|~v1_proofs_1(X49)))&(~r1_xxreal_0(X51,esk6_5(X48,X49,X50,X51,X53))|~r2_hidden(X53,esk5_4(X48,X49,X50,X51))|r2_tarski(k1_funct_1(X50,X51),X48)|~r1_proofs_1(X48,X49,X50,X51)|~v7_ordinal1(X51)|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v1_finseq_1(X50))|(~v1_relat_1(X49)|~v1_proofs_1(X49))))&(k1_funct_1(X50,esk6_5(X48,X49,X50,X51,X53))=X53|~r2_hidden(X53,esk5_4(X48,X49,X50,X51))|r2_tarski(k1_funct_1(X50,X51),X48)|~r1_proofs_1(X48,X49,X50,X51)|~v7_ordinal1(X51)|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v1_finseq_1(X50))|(~v1_relat_1(X49)|~v1_proofs_1(X49)))))))&((~r2_tarski(k1_funct_1(X50,X51),X48)|r1_proofs_1(X48,X49,X50,X51)|~v7_ordinal1(X51)|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v1_finseq_1(X50))|(~v1_relat_1(X49)|~v1_proofs_1(X49)))&((r2_hidden(esk7_5(X48,X49,X50,X51,X55),X55)|~r2_hidden(k4_tarski(X55,k1_funct_1(X50,X51)),X49)|~v1_finset_1(X55)|r1_proofs_1(X48,X49,X50,X51)|~v7_ordinal1(X51)|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v1_finseq_1(X50))|(~v1_relat_1(X49)|~v1_proofs_1(X49)))&(~v7_ordinal1(X57)|(~r2_tarski(X57,k9_xtuple_0(X50))|r1_xxreal_0(X51,X57)|k1_funct_1(X50,X57)!=esk7_5(X48,X49,X50,X51,X55))|~r2_hidden(k4_tarski(X55,k1_funct_1(X50,X51)),X49)|~v1_finset_1(X55)|r1_proofs_1(X48,X49,X50,X51)|~v7_ordinal1(X51)|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v1_finseq_1(X50))|(~v1_relat_1(X49)|~v1_proofs_1(X49)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])])).
cnf(c_0_47, negated_conjecture, (v7_ordinal1(esk8_3(X1,X2,k12_finseq_1(esk1_0,esk3_0)))|v2_proofs_1(k12_finseq_1(esk1_0,esk3_0),X1,X2)|~v1_proofs_1(X2)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_31]), c_0_32]), c_0_33])])).
cnf(c_0_48, plain, (r2_tarski(k1_funct_1(k5_finseq_1(X1),X2),k1_tarski(X1))|~r2_hidden(X2,k9_xtuple_0(k5_finseq_1(X1)))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_26]), c_0_27])]), c_0_42])).
cnf(c_0_49, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_50, negated_conjecture, (r2_tarski(esk8_3(esk1_0,esk2_0,k12_finseq_1(esk1_0,esk3_0)),k9_xtuple_0(k12_finseq_1(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_44, c_0_45])).
cnf(c_0_51, plain, (r1_proofs_1(X3,X4,X1,X2)|~r2_tarski(k1_funct_1(X1,X2),X3)|~v7_ordinal1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)|~v1_relat_1(X4)|~v1_proofs_1(X4)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_52, negated_conjecture, (v7_ordinal1(esk8_3(X1,esk2_0,k12_finseq_1(esk1_0,esk3_0)))|v2_proofs_1(k12_finseq_1(esk1_0,esk3_0),X1,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_37]), c_0_38])])).
fof(c_0_53, plain, ![X41, X42, X43, X44, X45, X46]:(((~r2_hidden(X43,X42)|X43=X41|X42!=k1_tarski(X41))&(X44!=X41|r2_hidden(X44,X42)|X42!=k1_tarski(X41)))&((~r2_hidden(esk4_2(X45,X46),X46)|esk4_2(X45,X46)!=X45|X46=k1_tarski(X45))&(r2_hidden(esk4_2(X45,X46),X46)|esk4_2(X45,X46)=X45|X46=k1_tarski(X45)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tarski])])])])])])).
cnf(c_0_54, negated_conjecture, (r2_tarski(k1_funct_1(k12_finseq_1(esk1_0,esk3_0),X1),k1_tarski(esk3_0))|~r2_hidden(X1,k9_xtuple_0(k12_finseq_1(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_48, c_0_25])).
cnf(c_0_55, negated_conjecture, (r2_hidden(esk8_3(esk1_0,esk2_0,k12_finseq_1(esk1_0,esk3_0)),k9_xtuple_0(k12_finseq_1(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_56, negated_conjecture, (r1_proofs_1(X1,X2,X3,esk8_3(X4,esk2_0,k12_finseq_1(esk1_0,esk3_0)))|v2_proofs_1(k12_finseq_1(esk1_0,esk3_0),X4,esk2_0)|~r2_tarski(k1_funct_1(X3,esk8_3(X4,esk2_0,k12_finseq_1(esk1_0,esk3_0))),X1)|~v1_finseq_1(X3)|~v1_funct_1(X3)|~v1_proofs_1(X2)|~v1_relat_1(X2)|~v1_relat_1(X3)), inference(spm,[status(thm)],[c_0_51, c_0_52])).
cnf(c_0_57, plain, (X1=X3|~r2_hidden(X1,X2)|X2!=k1_tarski(X3)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_58, negated_conjecture, (r2_tarski(k1_funct_1(k12_finseq_1(esk1_0,esk3_0),esk8_3(esk1_0,esk2_0,k12_finseq_1(esk1_0,esk3_0))),k1_tarski(esk3_0))), inference(spm,[status(thm)],[c_0_54, c_0_55])).
cnf(c_0_59, negated_conjecture, (r1_proofs_1(X1,X2,k12_finseq_1(esk1_0,esk3_0),esk8_3(X3,esk2_0,k12_finseq_1(esk1_0,esk3_0)))|v2_proofs_1(k12_finseq_1(esk1_0,esk3_0),X3,esk2_0)|~r2_tarski(k1_funct_1(k12_finseq_1(esk1_0,esk3_0),esk8_3(X3,esk2_0,k12_finseq_1(esk1_0,esk3_0))),X1)|~v1_proofs_1(X2)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_31]), c_0_32]), c_0_33])])).
cnf(c_0_60, plain, (X1=X2|~r2_hidden(X1,k1_tarski(X2))), inference(er,[status(thm)],[c_0_57])).
cnf(c_0_61, negated_conjecture, (r2_hidden(k1_funct_1(k12_finseq_1(esk1_0,esk3_0),esk8_3(esk1_0,esk2_0,k12_finseq_1(esk1_0,esk3_0))),k1_tarski(esk3_0))), inference(spm,[status(thm)],[c_0_49, c_0_58])).
fof(c_0_62, plain, ![X70, X71]:(~m1_subset_1(X70,X71)|(v1_xboole_0(X71)|r2_tarski(X70,X71))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
cnf(c_0_63, plain, (v2_proofs_1(X3,X1,X2)|~r1_proofs_1(X1,X2,X3,esk8_3(X1,X2,X3))|~v1_relat_1(X3)|~v1_funct_1(X3)|~v1_finseq_1(X3)|~v1_relat_1(X2)|~v1_proofs_1(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_64, negated_conjecture, (r1_proofs_1(X1,esk2_0,k12_finseq_1(esk1_0,esk3_0),esk8_3(X2,esk2_0,k12_finseq_1(esk1_0,esk3_0)))|v2_proofs_1(k12_finseq_1(esk1_0,esk3_0),X2,esk2_0)|~r2_tarski(k1_funct_1(k12_finseq_1(esk1_0,esk3_0),esk8_3(X2,esk2_0,k12_finseq_1(esk1_0,esk3_0))),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_37]), c_0_38])])).
cnf(c_0_65, negated_conjecture, (k1_funct_1(k12_finseq_1(esk1_0,esk3_0),esk8_3(esk1_0,esk2_0,k12_finseq_1(esk1_0,esk3_0)))=esk3_0), inference(spm,[status(thm)],[c_0_60, c_0_61])).
cnf(c_0_66, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_67, negated_conjecture, (v2_proofs_1(k12_finseq_1(esk1_0,esk3_0),X1,X2)|~r1_proofs_1(X1,X2,k12_finseq_1(esk1_0,esk3_0),esk8_3(X1,X2,k12_finseq_1(esk1_0,esk3_0)))|~v1_proofs_1(X2)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_31]), c_0_32]), c_0_33])])).
cnf(c_0_68, negated_conjecture, (r1_proofs_1(X1,esk2_0,k12_finseq_1(esk1_0,esk3_0),esk8_3(esk1_0,esk2_0,k12_finseq_1(esk1_0,esk3_0)))|~r2_tarski(esk3_0,X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_44])).
cnf(c_0_69, negated_conjecture, (r2_tarski(esk3_0,esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_18]), c_0_19])).
cnf(c_0_70, negated_conjecture, (v2_proofs_1(k12_finseq_1(esk1_0,esk3_0),X1,esk2_0)|~r1_proofs_1(X1,esk2_0,k12_finseq_1(esk1_0,esk3_0),esk8_3(X1,esk2_0,k12_finseq_1(esk1_0,esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_37]), c_0_38])])).
cnf(c_0_71, negated_conjecture, (r1_proofs_1(esk1_0,esk2_0,k12_finseq_1(esk1_0,esk3_0),esk8_3(esk1_0,esk2_0,k12_finseq_1(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_68, c_0_69])).
cnf(c_0_72, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_44]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 73
# Proof object clause steps            : 46
# Proof object formula steps           : 27
# Proof object conjectures             : 31
# Proof object clause conjectures      : 28
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 26
# Proof object simplifying inferences  : 32
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 34
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 33
# Processed clauses                    : 275
# ...of these trivial                  : 2
# ...subsumed                          : 86
# ...remaining for further processing  : 187
# Other redundant clauses eliminated   : 89
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 6
# Generated clauses                    : 1584
# ...of the previous two non-trivial   : 1446
# Contextual simplify-reflections      : 0
# Paramodulations                      : 1452
# Factorizations                       : 11
# NegExts                              : 0
# Equation resolutions                 : 121
# 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  : 147
#    Positive orientable unit clauses  : 22
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 123
# Current number of unprocessed clauses: 1221
# ...number of literals in the above   : 8863
# Current number of archived formulas  : 0
# Current number of archived clauses   : 40
# Clause-clause subsumption calls (NU) : 5110
# Rec. Clause-clause subsumption calls : 1224
# Non-unit clause-clause subsumptions  : 86
# Unit Clause-clause subsumption calls : 307
# Rewrite failures with RHS unbound    : 3
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 38006

# -------------------------------------------------
# User time                : 0.030 s
# System time              : 0.004 s
# Total time               : 0.034 s
# Maximum resident set size: 3352 pages
