# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2SI
# and selection function SelectNewComplexAHP.
#
# Preprocessing time       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t16_proofs_1, conjecture, ![X1, X2]:((v1_relat_1(X2)&v1_proofs_1(X2))=>![X3]:((v1_relat_1(X3)&v1_proofs_1(X3))=>![X4]:((v1_relat_1(X4)&v1_proofs_1(X4))=>(v8_proofs_1(k5_proofs_1(X3,X4),X1,X2)<=>(v8_proofs_1(X3,X1,X2)&v8_proofs_1(X4,X1,X2)))))), file('proofs_1/proofs_1__t16_proofs_1', t16_proofs_1)).
fof(d15_proofs_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_proofs_1(X2))=>![X3]:((v1_relat_1(X3)&v1_proofs_1(X3))=>(v8_proofs_1(X3,X1,X2)<=>![X4]:(v1_finset_1(X4)=>![X5]:(r2_hidden(k4_tarski(X4,X5),X3)=>r2_proofs_1(k2_xboole_0(X1,X4),X5,X2)))))), file('proofs_1/proofs_1__t16_proofs_1', d15_proofs_1)).
fof(redefinition_k5_proofs_1, axiom, ![X1, X2]:((((v1_relat_1(X1)&v1_proofs_1(X1))&v1_relat_1(X2))&v1_proofs_1(X2))=>k5_proofs_1(X1,X2)=k2_xboole_0(X1,X2)), file('proofs_1/proofs_1__t16_proofs_1', redefinition_k5_proofs_1)).
fof(dt_k5_proofs_1, axiom, ![X1, X2]:((((v1_relat_1(X1)&v1_proofs_1(X1))&v1_relat_1(X2))&v1_proofs_1(X2))=>(v1_relat_1(k5_proofs_1(X1,X2))&v1_proofs_1(k5_proofs_1(X1,X2)))), file('proofs_1/proofs_1__t16_proofs_1', dt_k5_proofs_1)).
fof(d3_xboole_0, axiom, ![X1, X2, X3]:(X3=k2_xboole_0(X1,X2)<=>![X4]:(r2_hidden(X4,X3)<=>(r2_hidden(X4,X1)|r2_hidden(X4,X2)))), file('proofs_1/proofs_1__t16_proofs_1', d3_xboole_0)).
fof(c_0_5, negated_conjecture, ~(![X1, X2]:((v1_relat_1(X2)&v1_proofs_1(X2))=>![X3]:((v1_relat_1(X3)&v1_proofs_1(X3))=>![X4]:((v1_relat_1(X4)&v1_proofs_1(X4))=>(v8_proofs_1(k5_proofs_1(X3,X4),X1,X2)<=>(v8_proofs_1(X3,X1,X2)&v8_proofs_1(X4,X1,X2))))))), inference(assume_negation,[status(cth)],[t16_proofs_1])).
fof(c_0_6, negated_conjecture, ((v1_relat_1(esk2_0)&v1_proofs_1(esk2_0))&((v1_relat_1(esk3_0)&v1_proofs_1(esk3_0))&((v1_relat_1(esk4_0)&v1_proofs_1(esk4_0))&((~v8_proofs_1(k5_proofs_1(esk3_0,esk4_0),esk1_0,esk2_0)|(~v8_proofs_1(esk3_0,esk1_0,esk2_0)|~v8_proofs_1(esk4_0,esk1_0,esk2_0)))&((v8_proofs_1(esk3_0,esk1_0,esk2_0)|v8_proofs_1(k5_proofs_1(esk3_0,esk4_0),esk1_0,esk2_0))&(v8_proofs_1(esk4_0,esk1_0,esk2_0)|v8_proofs_1(k5_proofs_1(esk3_0,esk4_0),esk1_0,esk2_0))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])).
fof(c_0_7, plain, ![X27, X28, X29, X30, X31]:((~v8_proofs_1(X29,X27,X28)|(~v1_finset_1(X30)|(~r2_hidden(k4_tarski(X30,X31),X29)|r2_proofs_1(k2_xboole_0(X27,X30),X31,X28)))|(~v1_relat_1(X29)|~v1_proofs_1(X29))|(~v1_relat_1(X28)|~v1_proofs_1(X28)))&((v1_finset_1(esk5_3(X27,X28,X29))|v8_proofs_1(X29,X27,X28)|(~v1_relat_1(X29)|~v1_proofs_1(X29))|(~v1_relat_1(X28)|~v1_proofs_1(X28)))&((r2_hidden(k4_tarski(esk5_3(X27,X28,X29),esk6_3(X27,X28,X29)),X29)|v8_proofs_1(X29,X27,X28)|(~v1_relat_1(X29)|~v1_proofs_1(X29))|(~v1_relat_1(X28)|~v1_proofs_1(X28)))&(~r2_proofs_1(k2_xboole_0(X27,esk5_3(X27,X28,X29)),esk6_3(X27,X28,X29),X28)|v8_proofs_1(X29,X27,X28)|(~v1_relat_1(X29)|~v1_proofs_1(X29))|(~v1_relat_1(X28)|~v1_proofs_1(X28)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d15_proofs_1])])])])])).
fof(c_0_8, plain, ![X45, X46]:(~v1_relat_1(X45)|~v1_proofs_1(X45)|~v1_relat_1(X46)|~v1_proofs_1(X46)|k5_proofs_1(X45,X46)=k2_xboole_0(X45,X46)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_proofs_1])])).
fof(c_0_9, plain, ![X43, X44]:((v1_relat_1(k5_proofs_1(X43,X44))|(~v1_relat_1(X43)|~v1_proofs_1(X43)|~v1_relat_1(X44)|~v1_proofs_1(X44)))&(v1_proofs_1(k5_proofs_1(X43,X44))|(~v1_relat_1(X43)|~v1_proofs_1(X43)|~v1_relat_1(X44)|~v1_proofs_1(X44)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_proofs_1])])])).
cnf(c_0_10, negated_conjecture, (~v8_proofs_1(k5_proofs_1(esk3_0,esk4_0),esk1_0,esk2_0)|~v8_proofs_1(esk3_0,esk1_0,esk2_0)|~v8_proofs_1(esk4_0,esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_11, plain, (r2_hidden(k4_tarski(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3)),X3)|v8_proofs_1(X3,X1,X2)|~v1_relat_1(X3)|~v1_proofs_1(X3)|~v1_relat_1(X2)|~v1_proofs_1(X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_12, negated_conjecture, (v1_proofs_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_13, negated_conjecture, (v1_proofs_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_14, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_15, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_16, plain, (k5_proofs_1(X1,X2)=k2_xboole_0(X1,X2)|~v1_relat_1(X1)|~v1_proofs_1(X1)|~v1_relat_1(X2)|~v1_proofs_1(X2)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_17, plain, (v1_relat_1(k5_proofs_1(X1,X2))|~v1_relat_1(X1)|~v1_proofs_1(X1)|~v1_relat_1(X2)|~v1_proofs_1(X2)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_18, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|~v8_proofs_1(k5_proofs_1(esk3_0,esk4_0),esk1_0,esk2_0)|~v8_proofs_1(esk4_0,esk1_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_10, c_0_11]), c_0_12]), c_0_13]), c_0_14]), c_0_15])])).
cnf(c_0_19, negated_conjecture, (v1_proofs_1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_20, negated_conjecture, (v1_relat_1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_21, negated_conjecture, (k5_proofs_1(esk3_0,X1)=k2_xboole_0(esk3_0,X1)|~v1_proofs_1(X1)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_12]), c_0_14])])).
cnf(c_0_22, negated_conjecture, (v1_relat_1(k5_proofs_1(esk3_0,X1))|~v1_proofs_1(X1)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_12]), c_0_14])])).
fof(c_0_23, plain, ![X34, X35, X36, X37, X38, X39, X40, X41]:(((~r2_hidden(X37,X36)|(r2_hidden(X37,X34)|r2_hidden(X37,X35))|X36!=k2_xboole_0(X34,X35))&((~r2_hidden(X38,X34)|r2_hidden(X38,X36)|X36!=k2_xboole_0(X34,X35))&(~r2_hidden(X38,X35)|r2_hidden(X38,X36)|X36!=k2_xboole_0(X34,X35))))&(((~r2_hidden(esk7_3(X39,X40,X41),X39)|~r2_hidden(esk7_3(X39,X40,X41),X41)|X41=k2_xboole_0(X39,X40))&(~r2_hidden(esk7_3(X39,X40,X41),X40)|~r2_hidden(esk7_3(X39,X40,X41),X41)|X41=k2_xboole_0(X39,X40)))&(r2_hidden(esk7_3(X39,X40,X41),X41)|(r2_hidden(esk7_3(X39,X40,X41),X39)|r2_hidden(esk7_3(X39,X40,X41),X40))|X41=k2_xboole_0(X39,X40)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_xboole_0])])])])])])).
cnf(c_0_24, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|~v8_proofs_1(k5_proofs_1(esk3_0,esk4_0),esk1_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_18, c_0_11]), c_0_19]), c_0_13]), c_0_20]), c_0_15])])).
cnf(c_0_25, negated_conjecture, (k5_proofs_1(esk3_0,esk4_0)=k2_xboole_0(esk3_0,esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_19]), c_0_20])])).
cnf(c_0_26, plain, (v1_proofs_1(k5_proofs_1(X1,X2))|~v1_relat_1(X1)|~v1_proofs_1(X1)|~v1_relat_1(X2)|~v1_proofs_1(X2)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_27, negated_conjecture, (v1_relat_1(k5_proofs_1(esk3_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_19]), c_0_20])])).
cnf(c_0_28, plain, (r2_hidden(X1,X3)|r2_hidden(X1,X4)|~r2_hidden(X1,X2)|X2!=k2_xboole_0(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_29, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|~v8_proofs_1(k2_xboole_0(esk3_0,esk4_0),esk1_0,esk2_0)), inference(rw,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_30, negated_conjecture, (v1_proofs_1(k2_xboole_0(esk3_0,esk4_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_26, c_0_25]), c_0_19]), c_0_12]), c_0_20]), c_0_14])])).
cnf(c_0_31, negated_conjecture, (v1_relat_1(k2_xboole_0(esk3_0,esk4_0))), inference(rw,[status(thm)],[c_0_27, c_0_25])).
cnf(c_0_32, plain, (r2_hidden(X1,X2)|r2_hidden(X1,X3)|~r2_hidden(X1,k2_xboole_0(X3,X2))), inference(er,[status(thm)],[c_0_28])).
cnf(c_0_33, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),k2_xboole_0(esk3_0,esk4_0))|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_11]), c_0_13]), c_0_15])]), c_0_30]), c_0_31])])).
cnf(c_0_34, plain, (r2_proofs_1(k2_xboole_0(X2,X4),X5,X3)|~v8_proofs_1(X1,X2,X3)|~v1_finset_1(X4)|~r2_hidden(k4_tarski(X4,X5),X1)|~v1_relat_1(X1)|~v1_proofs_1(X1)|~v1_relat_1(X3)|~v1_proofs_1(X3)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_35, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk4_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)), inference(spm,[status(thm)],[c_0_32, c_0_33])).
cnf(c_0_36, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|~v1_finset_1(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)))|~v8_proofs_1(esk4_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_34, c_0_35]), c_0_19]), c_0_20])])).
cnf(c_0_37, plain, (v1_finset_1(esk5_3(X1,X2,X3))|v8_proofs_1(X3,X1,X2)|~v1_relat_1(X3)|~v1_proofs_1(X3)|~v1_relat_1(X2)|~v1_proofs_1(X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_38, negated_conjecture, (v8_proofs_1(esk4_0,esk1_0,esk2_0)|v8_proofs_1(k5_proofs_1(esk3_0,esk4_0),esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_39, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|~v8_proofs_1(esk4_0,X1,X2)|~v1_proofs_1(X2)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_29])).
cnf(c_0_40, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|v8_proofs_1(esk4_0,esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_24, c_0_38])).
cnf(c_0_41, plain, (v8_proofs_1(X3,X1,X2)|~r2_proofs_1(k2_xboole_0(X1,esk5_3(X1,X2,X3)),esk6_3(X1,X2,X3),X2)|~v1_relat_1(X3)|~v1_proofs_1(X3)|~v1_relat_1(X2)|~v1_proofs_1(X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_42, negated_conjecture, (r2_proofs_1(k2_xboole_0(esk1_0,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk2_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_13]), c_0_15])])).
cnf(c_0_43, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_29])).
cnf(c_0_44, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|~v1_finset_1(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)))|~v8_proofs_1(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_34, c_0_43]), c_0_12]), c_0_14])])).
cnf(c_0_45, negated_conjecture, (v8_proofs_1(esk3_0,esk1_0,esk2_0)|v8_proofs_1(k5_proofs_1(esk3_0,esk4_0),esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_46, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|~v8_proofs_1(esk3_0,X1,X2)|~v1_proofs_1(X2)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_37]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_29])).
cnf(c_0_47, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|v8_proofs_1(esk3_0,esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_24, c_0_45])).
cnf(c_0_48, plain, (r2_hidden(X1,X3)|~r2_hidden(X1,X2)|X3!=k2_xboole_0(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_49, negated_conjecture, (r2_proofs_1(k2_xboole_0(esk1_0,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk2_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_13]), c_0_15])])).
cnf(c_0_50, plain, (r2_hidden(X1,k2_xboole_0(X2,X3))|~r2_hidden(X1,X3)), inference(er,[status(thm)],[c_0_48])).
cnf(c_0_51, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_49]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_29])).
cnf(c_0_52, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),k2_xboole_0(X1,esk4_0))|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)), inference(spm,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_53, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,esk4_0)),esk6_3(esk1_0,esk2_0,esk4_0),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|~v1_finset_1(esk5_3(esk1_0,esk2_0,esk4_0))|~v8_proofs_1(k2_xboole_0(X3,esk4_0),X1,X2)|~v1_proofs_1(k2_xboole_0(X3,esk4_0))|~v1_proofs_1(X2)|~v1_relat_1(k2_xboole_0(X3,esk4_0))|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_34, c_0_52])).
cnf(c_0_54, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,esk4_0)),esk6_3(esk1_0,esk2_0,esk4_0),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|v8_proofs_1(esk4_0,esk1_0,esk2_0)|~v8_proofs_1(k2_xboole_0(X3,esk4_0),X1,X2)|~v1_proofs_1(k2_xboole_0(X3,esk4_0))|~v1_proofs_1(X2)|~v1_relat_1(k2_xboole_0(X3,esk4_0))|~v1_relat_1(X2)), 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_53, c_0_37]), c_0_19]), c_0_13]), c_0_20]), c_0_15])])).
cnf(c_0_55, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,esk4_0)),esk6_3(esk1_0,esk2_0,esk4_0),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|v8_proofs_1(esk4_0,esk1_0,esk2_0)|~v8_proofs_1(k2_xboole_0(esk3_0,esk4_0),X1,X2)|~v1_proofs_1(X2)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_30]), c_0_31])])).
cnf(c_0_56, negated_conjecture, (v8_proofs_1(k2_xboole_0(esk3_0,esk4_0),esk1_0,esk2_0)|v8_proofs_1(esk4_0,esk1_0,esk2_0)), inference(rw,[status(thm)],[c_0_38, c_0_25])).
cnf(c_0_57, negated_conjecture, (r2_proofs_1(k2_xboole_0(esk1_0,esk5_3(esk1_0,esk2_0,esk4_0)),esk6_3(esk1_0,esk2_0,esk4_0),esk2_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|v8_proofs_1(esk4_0,esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_13]), c_0_15])])).
cnf(c_0_58, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|~v8_proofs_1(k2_xboole_0(esk3_0,esk4_0),esk1_0,esk2_0)|~v8_proofs_1(esk4_0,esk1_0,esk2_0)), inference(rw,[status(thm)],[c_0_18, c_0_25])).
cnf(c_0_59, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|v8_proofs_1(esk4_0,esk1_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_41, c_0_57]), c_0_19]), c_0_13]), c_0_20]), c_0_15])])).
cnf(c_0_60, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|~v8_proofs_1(k2_xboole_0(esk3_0,esk4_0),esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_58, c_0_59])).
cnf(c_0_61, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),k2_xboole_0(esk3_0,esk4_0))|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_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_60, c_0_11]), c_0_30]), c_0_13]), c_0_31]), c_0_15])])).
cnf(c_0_62, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk4_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)), inference(spm,[status(thm)],[c_0_32, c_0_61])).
cnf(c_0_63, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|~v1_finset_1(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)))|~v8_proofs_1(esk4_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_34, c_0_62]), c_0_19]), c_0_20])])).
cnf(c_0_64, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|~v8_proofs_1(esk4_0,X1,X2)|~v1_proofs_1(X2)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_37]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_60])).
cnf(c_0_65, negated_conjecture, (r2_proofs_1(k2_xboole_0(esk1_0,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk2_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_59]), c_0_13]), c_0_15])])).
cnf(c_0_66, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_65]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_60])).
cnf(c_0_67, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|~v1_finset_1(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)))|~v8_proofs_1(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_34, c_0_66]), c_0_12]), c_0_14])])).
cnf(c_0_68, negated_conjecture, (v8_proofs_1(k2_xboole_0(esk3_0,esk4_0),esk1_0,esk2_0)|v8_proofs_1(esk3_0,esk1_0,esk2_0)), inference(rw,[status(thm)],[c_0_45, c_0_25])).
cnf(c_0_69, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|~v8_proofs_1(esk3_0,X1,X2)|~v1_proofs_1(X2)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_37]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_60])).
cnf(c_0_70, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)|v8_proofs_1(esk3_0,esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_60, c_0_68])).
cnf(c_0_71, plain, (r2_hidden(X1,X3)|~r2_hidden(X1,X2)|X3!=k2_xboole_0(X2,X4)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_72, negated_conjecture, (r2_proofs_1(k2_xboole_0(esk1_0,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk2_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_13]), c_0_15])])).
cnf(c_0_73, plain, (r2_hidden(X1,k2_xboole_0(X2,X3))|~r2_hidden(X1,X2)), inference(er,[status(thm)],[c_0_71])).
cnf(c_0_74, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),esk3_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_72]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_60])).
cnf(c_0_75, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),k2_xboole_0(esk3_0,X1))), inference(spm,[status(thm)],[c_0_73, c_0_74])).
cnf(c_0_76, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,esk3_0)),esk6_3(esk1_0,esk2_0,esk3_0),X2)|~v1_finset_1(esk5_3(esk1_0,esk2_0,esk3_0))|~v8_proofs_1(k2_xboole_0(esk3_0,X3),X1,X2)|~v1_proofs_1(k2_xboole_0(esk3_0,X3))|~v1_proofs_1(X2)|~v1_relat_1(k2_xboole_0(esk3_0,X3))|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_34, c_0_75])).
cnf(c_0_77, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,esk3_0)),esk6_3(esk1_0,esk2_0,esk3_0),X2)|v8_proofs_1(esk3_0,esk1_0,esk2_0)|~v8_proofs_1(k2_xboole_0(esk3_0,X3),X1,X2)|~v1_proofs_1(k2_xboole_0(esk3_0,X3))|~v1_proofs_1(X2)|~v1_relat_1(k2_xboole_0(esk3_0,X3))|~v1_relat_1(X2)), 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_76, c_0_37]), c_0_12]), c_0_13]), c_0_14]), c_0_15])])).
cnf(c_0_78, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,esk3_0)),esk6_3(esk1_0,esk2_0,esk3_0),X2)|v8_proofs_1(esk3_0,esk1_0,esk2_0)|~v8_proofs_1(k2_xboole_0(esk3_0,esk4_0),X1,X2)|~v1_proofs_1(X2)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_30]), c_0_31])])).
cnf(c_0_79, negated_conjecture, (r2_proofs_1(k2_xboole_0(esk1_0,esk5_3(esk1_0,esk2_0,esk3_0)),esk6_3(esk1_0,esk2_0,esk3_0),esk2_0)|v8_proofs_1(esk3_0,esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_68]), c_0_13]), c_0_15])])).
cnf(c_0_80, negated_conjecture, (~v8_proofs_1(k2_xboole_0(esk3_0,esk4_0),esk1_0,esk2_0)|~v8_proofs_1(esk3_0,esk1_0,esk2_0)|~v8_proofs_1(esk4_0,esk1_0,esk2_0)), inference(rw,[status(thm)],[c_0_10, c_0_25])).
cnf(c_0_81, negated_conjecture, (v8_proofs_1(esk3_0,esk1_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_41, c_0_79]), c_0_12]), c_0_13]), c_0_14]), c_0_15])])).
cnf(c_0_82, negated_conjecture, (~v8_proofs_1(k2_xboole_0(esk3_0,esk4_0),esk1_0,esk2_0)|~v8_proofs_1(esk4_0,esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80, c_0_81])])).
cnf(c_0_83, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|~v8_proofs_1(k2_xboole_0(esk3_0,esk4_0),esk1_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_82, c_0_11]), c_0_19]), c_0_13]), c_0_20]), c_0_15])])).
cnf(c_0_84, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),k2_xboole_0(esk3_0,esk4_0))|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_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_83, c_0_11]), c_0_30]), c_0_13]), c_0_31]), c_0_15])])).
cnf(c_0_85, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk4_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)), inference(spm,[status(thm)],[c_0_32, c_0_84])).
cnf(c_0_86, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|~v1_finset_1(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)))|~v8_proofs_1(esk4_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_34, c_0_85]), c_0_19]), c_0_20])])).
cnf(c_0_87, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|~v8_proofs_1(esk4_0,X1,X2)|~v1_proofs_1(X2)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_37]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_83])).
cnf(c_0_88, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|v8_proofs_1(esk4_0,esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_83, c_0_56])).
cnf(c_0_89, negated_conjecture, (r2_proofs_1(k2_xboole_0(esk1_0,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk2_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_88]), c_0_13]), c_0_15])])).
cnf(c_0_90, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_89]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_83])).
cnf(c_0_91, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|~v1_finset_1(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)))|~v8_proofs_1(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_34, c_0_90]), c_0_12]), c_0_14])])).
cnf(c_0_92, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)|~v8_proofs_1(esk3_0,X1,X2)|~v1_proofs_1(X2)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_37]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_83])).
cnf(c_0_93, negated_conjecture, (r2_proofs_1(k2_xboole_0(esk1_0,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk2_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_81]), c_0_13]), c_0_15])])).
cnf(c_0_94, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),esk4_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_93]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_83])).
cnf(c_0_95, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,esk4_0),esk6_3(esk1_0,esk2_0,esk4_0)),k2_xboole_0(X1,esk4_0))), inference(spm,[status(thm)],[c_0_50, c_0_94])).
cnf(c_0_96, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,esk4_0)),esk6_3(esk1_0,esk2_0,esk4_0),X2)|~v1_finset_1(esk5_3(esk1_0,esk2_0,esk4_0))|~v8_proofs_1(k2_xboole_0(X3,esk4_0),X1,X2)|~v1_proofs_1(k2_xboole_0(X3,esk4_0))|~v1_proofs_1(X2)|~v1_relat_1(k2_xboole_0(X3,esk4_0))|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_34, c_0_95])).
cnf(c_0_97, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,esk4_0)),esk6_3(esk1_0,esk2_0,esk4_0),X2)|v8_proofs_1(esk4_0,esk1_0,esk2_0)|~v8_proofs_1(k2_xboole_0(X3,esk4_0),X1,X2)|~v1_proofs_1(k2_xboole_0(X3,esk4_0))|~v1_proofs_1(X2)|~v1_relat_1(k2_xboole_0(X3,esk4_0))|~v1_relat_1(X2)), 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_96, c_0_37]), c_0_19]), c_0_13]), c_0_20]), c_0_15])])).
cnf(c_0_98, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,esk4_0)),esk6_3(esk1_0,esk2_0,esk4_0),X2)|v8_proofs_1(esk4_0,esk1_0,esk2_0)|~v8_proofs_1(k2_xboole_0(esk3_0,esk4_0),X1,X2)|~v1_proofs_1(X2)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_30]), c_0_31])])).
cnf(c_0_99, negated_conjecture, (r2_proofs_1(k2_xboole_0(esk1_0,esk5_3(esk1_0,esk2_0,esk4_0)),esk6_3(esk1_0,esk2_0,esk4_0),esk2_0)|v8_proofs_1(esk4_0,esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_56]), c_0_13]), c_0_15])])).
cnf(c_0_100, negated_conjecture, (v8_proofs_1(esk4_0,esk1_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_41, c_0_99]), c_0_19]), c_0_13]), c_0_20]), c_0_15])])).
cnf(c_0_101, negated_conjecture, (~v8_proofs_1(k2_xboole_0(esk3_0,esk4_0),esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_100])])).
cnf(c_0_102, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),k2_xboole_0(esk3_0,esk4_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_101, c_0_11]), c_0_30]), c_0_13]), c_0_31]), c_0_15])])).
cnf(c_0_103, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk4_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)), inference(spm,[status(thm)],[c_0_32, c_0_102])).
cnf(c_0_104, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|~v1_finset_1(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)))|~v8_proofs_1(esk4_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_34, c_0_103]), c_0_19]), c_0_20])])).
cnf(c_0_105, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)|~v8_proofs_1(esk4_0,X1,X2)|~v1_proofs_1(X2)|~v1_relat_1(X2)), 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(spm,[status(thm)],[c_0_104, c_0_37]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_101])).
cnf(c_0_106, negated_conjecture, (r2_proofs_1(k2_xboole_0(esk1_0,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk2_0)|r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_100]), c_0_13]), c_0_15])])).
cnf(c_0_107, negated_conjecture, (r2_hidden(k4_tarski(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk3_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(spm,[status(thm)],[c_0_41, c_0_106]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_101])).
cnf(c_0_108, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|~v1_finset_1(esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)))|~v8_proofs_1(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_34, c_0_107]), c_0_12]), c_0_14])])).
cnf(c_0_109, negated_conjecture, (r2_proofs_1(k2_xboole_0(X1,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),X2)|~v8_proofs_1(esk3_0,X1,X2)|~v1_proofs_1(X2)|~v1_relat_1(X2)), 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(spm,[status(thm)],[c_0_108, c_0_37]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_101])).
cnf(c_0_110, negated_conjecture, (r2_proofs_1(k2_xboole_0(esk1_0,esk5_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0))),esk6_3(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0)),esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_81]), c_0_13]), c_0_15])])).
cnf(c_0_111, 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(spm,[status(thm)],[c_0_41, c_0_110]), c_0_30]), c_0_13]), c_0_31]), c_0_15])]), c_0_101]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 112
# Proof object clause steps            : 101
# Proof object formula steps           : 11
# Proof object conjectures             : 91
# Proof object clause conjectures      : 88
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 5
# Proof object generating inferences   : 71
# Proof object simplifying inferences  : 251
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 5
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 22
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 22
# Processed clauses                    : 14728
# ...of these trivial                  : 1428
# ...subsumed                          : 756
# ...remaining for further processing  : 12544
# Other redundant clauses eliminated   : 3
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 196
# Backward-rewritten                   : 1639
# Generated clauses                    : 204812
# ...of the previous two non-trivial   : 198064
# Contextual simplify-reflections      : 58
# Paramodulations                      : 203971
# Factorizations                       : 838
# NegExts                              : 0
# Equation resolutions                 : 3
# 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  : 10684
#    Positive orientable unit clauses  : 8576
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 2107
# Current number of unprocessed clauses: 182772
# ...number of literals in the above   : 459456
# Current number of archived formulas  : 0
# Current number of archived clauses   : 1857
# Clause-clause subsumption calls (NU) : 2520455
# Rec. Clause-clause subsumption calls : 160160
# Non-unit clause-clause subsumptions  : 1010
# Unit Clause-clause subsumption calls : 868587
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 6091654
# BW rewrite match successes           : 156
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 6507607

# -------------------------------------------------
# User time                : 4.651 s
# System time              : 0.140 s
# Total time               : 4.791 s
# Maximum resident set size: 3068 pages
