# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
# and selection function SelectNewComplexAHP.
#
# Preprocessing time       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d18_surreal0, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v3_ordinal1(X2)=>(X2=k12_surreal0(X1)<=>(r2_tarski(X1,k10_surreal0(X2))&![X3]:(v3_ordinal1(X3)=>(r2_tarski(X1,k10_surreal0(X3))=>r1_ordinal1(X2,X3))))))), file('surrealn/surrealn__t37_surrealn', d18_surreal0)).
fof(dt_k12_surreal0, axiom, ![X1]:(v2_surreal0(X1)=>v3_ordinal1(k12_surreal0(X1))), file('surrealn/surrealn__t37_surrealn', dt_k12_surreal0)).
fof(t35_surrealn, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v7_ordinal1(X2)=>~((r2_tarski(X1,k10_surreal0(X2))&![X3]:((v1_rat_1(X3)&v1_surrealn(X3))=>~((r2_surrealo(X1,k1_funct_1(k4_surrealn,X3))&r2_tarski(k1_funct_1(k4_surrealn,X3),k10_surreal0(X2))))))))), file('surrealn/surrealn__t37_surrealn', t35_surrealn)).
fof(cc6_card_1, axiom, ![X1]:((v3_ordinal1(X1)&v1_finset_1(X1))=>v7_ordinal1(X1)), file('surrealn/surrealn__t37_surrealn', cc6_card_1)).
fof(t37_surrealn, conjecture, ![X1]:(v2_surreal0(X1)=>(((v2_surreal0(X1)&v2_surrealo(X1))&v1_finset_1(k12_surreal0(X1)))<=>?[X2]:((v1_rat_1(X2)&v1_surrealn(X2))&X1=k1_funct_1(k4_surrealn,X2)))), file('surrealn/surrealn__t37_surrealn', t37_surrealn)).
fof(cc6_ordinal1, axiom, ![X1]:(v7_ordinal1(X1)=>v3_ordinal1(X1)), file('surrealn/surrealn__t37_surrealn', cc6_ordinal1)).
fof(t36_surrealn, axiom, ![X1]:((v1_rat_1(X1)&v1_surrealn(X1))=>?[X2]:(v7_ordinal1(X2)&r2_tarski(k1_funct_1(k4_surrealn,X1),k10_surreal0(X2)))), file('surrealn/surrealn__t37_surrealn', t36_surrealn)).
fof(t50_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(((((v2_surreal0(X1)&v2_surrealo(X1))&v2_surreal0(X2))&v2_surrealo(X2))&r2_surrealo(X1,X2))=>X1=X2))), file('surrealn/surrealn__t37_surrealn', t50_surrealo)).
fof(fc10_surrealn, axiom, ![X1]:((v1_rat_1(X1)&v1_surrealn(X1))=>v2_surreal0(k1_funct_1(k4_surrealn,X1))), file('surrealn/surrealn__t37_surrealn', fc10_surrealn)).
fof(redefinition_r1_ordinal1, axiom, ![X1, X2]:((v3_ordinal1(X1)&v3_ordinal1(X2))=>(r1_ordinal1(X1,X2)<=>r1_tarski(X1,X2))), file('surrealn/surrealn__t37_surrealn', redefinition_r1_ordinal1)).
fof(fc11_surrealn, axiom, ![X1]:((v1_rat_1(X1)&v1_surrealn(X1))=>v2_surrealo(k1_funct_1(k4_surrealn,X1))), file('surrealn/surrealn__t37_surrealn', fc11_surrealn)).
fof(t3_subset, axiom, ![X1, X2]:(m1_subset_1(X1,k1_zfmisc_1(X2))<=>r1_tarski(X1,X2)), file('surrealn/surrealn__t37_surrealn', t3_subset)).
fof(cc5_card_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_finset_1(X1)), file('surrealn/surrealn__t37_surrealn', cc5_card_1)).
fof(cc2_finset_1, axiom, ![X1]:(v1_finset_1(X1)=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(X1))=>v1_finset_1(X2))), file('surrealn/surrealn__t37_surrealn', cc2_finset_1)).
fof(c_0_14, plain, ![X36, X37, X38]:(((r2_tarski(X36,k10_surreal0(X37))|X37!=k12_surreal0(X36)|~v3_ordinal1(X37)|~v2_surreal0(X36))&(~v3_ordinal1(X38)|(~r2_tarski(X36,k10_surreal0(X38))|r1_ordinal1(X37,X38))|X37!=k12_surreal0(X36)|~v3_ordinal1(X37)|~v2_surreal0(X36)))&((v3_ordinal1(esk3_2(X36,X37))|~r2_tarski(X36,k10_surreal0(X37))|X37=k12_surreal0(X36)|~v3_ordinal1(X37)|~v2_surreal0(X36))&((r2_tarski(X36,k10_surreal0(esk3_2(X36,X37)))|~r2_tarski(X36,k10_surreal0(X37))|X37=k12_surreal0(X36)|~v3_ordinal1(X37)|~v2_surreal0(X36))&(~r1_ordinal1(X37,esk3_2(X36,X37))|~r2_tarski(X36,k10_surreal0(X37))|X37=k12_surreal0(X36)|~v3_ordinal1(X37)|~v2_surreal0(X36))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d18_surreal0])])])])])).
fof(c_0_15, plain, ![X40]:(~v2_surreal0(X40)|v3_ordinal1(k12_surreal0(X40))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k12_surreal0])])).
fof(c_0_16, plain, ![X45, X46]:(((v1_rat_1(esk4_2(X45,X46))|~r2_tarski(X45,k10_surreal0(X46))|~v7_ordinal1(X46)|~v2_surreal0(X45))&(v1_surrealn(esk4_2(X45,X46))|~r2_tarski(X45,k10_surreal0(X46))|~v7_ordinal1(X46)|~v2_surreal0(X45)))&((r2_surrealo(X45,k1_funct_1(k4_surrealn,esk4_2(X45,X46)))|~r2_tarski(X45,k10_surreal0(X46))|~v7_ordinal1(X46)|~v2_surreal0(X45))&(r2_tarski(k1_funct_1(k4_surrealn,esk4_2(X45,X46)),k10_surreal0(X46))|~r2_tarski(X45,k10_surreal0(X46))|~v7_ordinal1(X46)|~v2_surreal0(X45)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t35_surrealn])])])])])).
cnf(c_0_17, plain, (r2_tarski(X1,k10_surreal0(X2))|X2!=k12_surreal0(X1)|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_18, plain, (v3_ordinal1(k12_surreal0(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_19, plain, (r2_surrealo(X1,k1_funct_1(k4_surrealn,esk4_2(X1,X2)))|~r2_tarski(X1,k10_surreal0(X2))|~v7_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_20, plain, (r2_tarski(X1,k10_surreal0(k12_surreal0(X1)))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_17]), c_0_18])).
fof(c_0_21, plain, ![X34]:(~v3_ordinal1(X34)|~v1_finset_1(X34)|v7_ordinal1(X34)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc6_card_1])])).
fof(c_0_22, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>(((v2_surreal0(X1)&v2_surrealo(X1))&v1_finset_1(k12_surreal0(X1)))<=>?[X2]:((v1_rat_1(X2)&v1_surrealn(X2))&X1=k1_funct_1(k4_surrealn,X2))))), inference(assume_negation,[status(cth)],[t37_surrealn])).
fof(c_0_23, plain, ![X35]:(~v7_ordinal1(X35)|v3_ordinal1(X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc6_ordinal1])])).
fof(c_0_24, plain, ![X48]:((v7_ordinal1(esk5_1(X48))|(~v1_rat_1(X48)|~v1_surrealn(X48)))&(r2_tarski(k1_funct_1(k4_surrealn,X48),k10_surreal0(esk5_1(X48)))|(~v1_rat_1(X48)|~v1_surrealn(X48)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t36_surrealn])])])])).
fof(c_0_25, plain, ![X52, X53]:(~v2_surreal0(X52)|(~v2_surreal0(X53)|(~v2_surreal0(X52)|~v2_surrealo(X52)|~v2_surreal0(X53)|~v2_surrealo(X53)|~r2_surrealo(X52,X53)|X52=X53))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t50_surrealo])])])).
cnf(c_0_26, plain, (r2_surrealo(X1,k1_funct_1(k4_surrealn,esk4_2(X1,k12_surreal0(X1))))|~v7_ordinal1(k12_surreal0(X1))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
cnf(c_0_27, plain, (v7_ordinal1(X1)|~v3_ordinal1(X1)|~v1_finset_1(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
fof(c_0_28, negated_conjecture, ![X29]:(v2_surreal0(esk1_0)&((~v2_surreal0(esk1_0)|~v2_surrealo(esk1_0)|~v1_finset_1(k12_surreal0(esk1_0))|(~v1_rat_1(X29)|~v1_surrealn(X29)|esk1_0!=k1_funct_1(k4_surrealn,X29)))&(((((v1_rat_1(esk2_0)|v2_surreal0(esk1_0))&(v1_surrealn(esk2_0)|v2_surreal0(esk1_0)))&(esk1_0=k1_funct_1(k4_surrealn,esk2_0)|v2_surreal0(esk1_0)))&(((v1_rat_1(esk2_0)|v2_surrealo(esk1_0))&(v1_surrealn(esk2_0)|v2_surrealo(esk1_0)))&(esk1_0=k1_funct_1(k4_surrealn,esk2_0)|v2_surrealo(esk1_0))))&(((v1_rat_1(esk2_0)|v1_finset_1(k12_surreal0(esk1_0)))&(v1_surrealn(esk2_0)|v1_finset_1(k12_surreal0(esk1_0))))&(esk1_0=k1_funct_1(k4_surrealn,esk2_0)|v1_finset_1(k12_surreal0(esk1_0))))))), 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_22])])])])])).
cnf(c_0_29, plain, (v1_rat_1(esk4_2(X1,X2))|~r2_tarski(X1,k10_surreal0(X2))|~v7_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_30, plain, (v1_surrealn(esk4_2(X1,X2))|~r2_tarski(X1,k10_surreal0(X2))|~v7_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_31, plain, (r1_ordinal1(X3,X1)|~v3_ordinal1(X1)|~r2_tarski(X2,k10_surreal0(X1))|X3!=k12_surreal0(X2)|~v3_ordinal1(X3)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_32, plain, ![X41]:(~v1_rat_1(X41)|~v1_surrealn(X41)|v2_surreal0(k1_funct_1(k4_surrealn,X41))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_surrealn])])).
cnf(c_0_33, plain, (v3_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_34, plain, (v7_ordinal1(esk5_1(X1))|~v1_rat_1(X1)|~v1_surrealn(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_35, plain, (X1=X2|~v2_surreal0(X1)|~v2_surreal0(X2)|~v2_surreal0(X1)|~v2_surrealo(X1)|~v2_surreal0(X2)|~v2_surrealo(X2)|~r2_surrealo(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_36, plain, (r2_surrealo(X1,k1_funct_1(k4_surrealn,esk4_2(X1,k12_surreal0(X1))))|~v1_finset_1(k12_surreal0(X1))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_18])).
cnf(c_0_37, negated_conjecture, (esk1_0=k1_funct_1(k4_surrealn,esk2_0)|v1_finset_1(k12_surreal0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_38, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_39, plain, (v1_rat_1(esk4_2(X1,k12_surreal0(X1)))|~v7_ordinal1(k12_surreal0(X1))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_29, c_0_20])).
cnf(c_0_40, plain, (v1_surrealn(esk4_2(X1,k12_surreal0(X1)))|~v7_ordinal1(k12_surreal0(X1))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_30, c_0_20])).
cnf(c_0_41, negated_conjecture, (v1_surrealn(esk2_0)|v1_finset_1(k12_surreal0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_42, negated_conjecture, (v1_rat_1(esk2_0)|v1_finset_1(k12_surreal0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_43, plain, ![X43, X44]:((~r1_ordinal1(X43,X44)|r1_tarski(X43,X44)|(~v3_ordinal1(X43)|~v3_ordinal1(X44)))&(~r1_tarski(X43,X44)|r1_ordinal1(X43,X44)|(~v3_ordinal1(X43)|~v3_ordinal1(X44)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_ordinal1])])])).
cnf(c_0_44, plain, (r1_ordinal1(k12_surreal0(X1),X2)|~r2_tarski(X1,k10_surreal0(X2))|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_31]), c_0_18])).
cnf(c_0_45, plain, (r2_tarski(k1_funct_1(k4_surrealn,X1),k10_surreal0(esk5_1(X1)))|~v1_rat_1(X1)|~v1_surrealn(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_46, plain, (v2_surreal0(k1_funct_1(k4_surrealn,X1))|~v1_rat_1(X1)|~v1_surrealn(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_47, plain, (v3_ordinal1(esk5_1(X1))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_48, negated_conjecture, (~v2_surreal0(esk1_0)|~v2_surrealo(esk1_0)|~v1_finset_1(k12_surreal0(esk1_0))|~v1_rat_1(X1)|~v1_surrealn(X1)|esk1_0!=k1_funct_1(k4_surrealn,X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_49, plain, (X1=X2|~v2_surreal0(X2)|~v2_surreal0(X1)|~v2_surrealo(X2)|~v2_surrealo(X1)|~r2_surrealo(X1,X2)), inference(cn,[status(thm)],[c_0_35])).
cnf(c_0_50, negated_conjecture, (k1_funct_1(k4_surrealn,esk2_0)=esk1_0|r2_surrealo(esk1_0,k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])])).
cnf(c_0_51, negated_conjecture, (esk1_0=k1_funct_1(k4_surrealn,esk2_0)|v2_surrealo(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_52, plain, ![X42]:(~v1_rat_1(X42)|~v1_surrealn(X42)|v2_surrealo(k1_funct_1(k4_surrealn,X42))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc11_surrealn])])).
cnf(c_0_53, plain, (v1_rat_1(esk4_2(X1,k12_surreal0(X1)))|~v1_finset_1(k12_surreal0(X1))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_27]), c_0_18])).
cnf(c_0_54, plain, (v1_surrealn(esk4_2(X1,k12_surreal0(X1)))|~v1_finset_1(k12_surreal0(X1))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_27]), c_0_18])).
cnf(c_0_55, negated_conjecture, (r2_surrealo(esk1_0,k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0))))|v1_surrealn(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_41]), c_0_38])])).
cnf(c_0_56, negated_conjecture, (v1_surrealn(esk2_0)|v2_surrealo(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_57, negated_conjecture, (r2_surrealo(esk1_0,k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0))))|v1_rat_1(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_42]), c_0_38])])).
cnf(c_0_58, negated_conjecture, (v1_rat_1(esk2_0)|v2_surrealo(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_59, plain, (r1_tarski(X1,X2)|~r1_ordinal1(X1,X2)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_60, plain, (r1_ordinal1(k12_surreal0(k1_funct_1(k4_surrealn,X1)),esk5_1(X1))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46]), c_0_47])).
cnf(c_0_61, negated_conjecture, (k1_funct_1(k4_surrealn,X1)!=esk1_0|~v1_surrealn(X1)|~v1_rat_1(X1)|~v1_finset_1(k12_surreal0(esk1_0))|~v2_surrealo(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_38])])).
cnf(c_0_62, negated_conjecture, (k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0)))=esk1_0|k1_funct_1(k4_surrealn,esk2_0)=esk1_0|~v2_surrealo(k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0))))|~v2_surreal0(k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0))))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_38])]), c_0_51])).
cnf(c_0_63, plain, (v2_surrealo(k1_funct_1(k4_surrealn,X1))|~v1_rat_1(X1)|~v1_surrealn(X1)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_64, negated_conjecture, (k1_funct_1(k4_surrealn,esk2_0)=esk1_0|v1_rat_1(esk4_2(esk1_0,k12_surreal0(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_37]), c_0_38])])).
cnf(c_0_65, negated_conjecture, (k1_funct_1(k4_surrealn,esk2_0)=esk1_0|v1_surrealn(esk4_2(esk1_0,k12_surreal0(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_37]), c_0_38])])).
cnf(c_0_66, negated_conjecture, (k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0)))=esk1_0|v1_surrealn(esk2_0)|~v2_surrealo(k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0))))|~v2_surreal0(k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0))))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_55]), c_0_38])]), c_0_56])).
cnf(c_0_67, negated_conjecture, (v1_surrealn(esk2_0)|v1_rat_1(esk4_2(esk1_0,k12_surreal0(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_41]), c_0_38])])).
cnf(c_0_68, negated_conjecture, (v1_surrealn(esk4_2(esk1_0,k12_surreal0(esk1_0)))|v1_surrealn(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_41]), c_0_38])])).
cnf(c_0_69, negated_conjecture, (k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0)))=esk1_0|v1_rat_1(esk2_0)|~v2_surrealo(k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0))))|~v2_surreal0(k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0))))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_57]), c_0_38])]), c_0_58])).
cnf(c_0_70, negated_conjecture, (v1_rat_1(esk4_2(esk1_0,k12_surreal0(esk1_0)))|v1_rat_1(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_42]), c_0_38])])).
cnf(c_0_71, negated_conjecture, (v1_surrealn(esk4_2(esk1_0,k12_surreal0(esk1_0)))|v1_rat_1(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_42]), c_0_38])])).
fof(c_0_72, plain, ![X50, X51]:((~m1_subset_1(X50,k1_zfmisc_1(X51))|r1_tarski(X50,X51))&(~r1_tarski(X50,X51)|m1_subset_1(X50,k1_zfmisc_1(X51)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])).
cnf(c_0_73, plain, (r1_tarski(k12_surreal0(k1_funct_1(k4_surrealn,X1)),esk5_1(X1))|~v3_ordinal1(k12_surreal0(k1_funct_1(k4_surrealn,X1)))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_47])).
fof(c_0_74, plain, ![X33]:(~v7_ordinal1(X33)|v1_finset_1(X33)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_card_1])])).
cnf(c_0_75, negated_conjecture, (k1_funct_1(k4_surrealn,esk2_0)=esk1_0|k1_funct_1(k4_surrealn,X1)!=esk1_0|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_51]), c_0_37])).
cnf(c_0_76, negated_conjecture, (k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0)))=esk1_0|k1_funct_1(k4_surrealn,esk2_0)=esk1_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_46]), c_0_64]), c_0_65])).
cnf(c_0_77, negated_conjecture, (v1_surrealn(esk2_0)|k1_funct_1(k4_surrealn,X1)!=esk1_0|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_56]), c_0_41])).
cnf(c_0_78, negated_conjecture, (k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0)))=esk1_0|v1_surrealn(esk2_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_63]), c_0_46]), c_0_67]), c_0_68])).
cnf(c_0_79, negated_conjecture, (v1_rat_1(esk2_0)|k1_funct_1(k4_surrealn,X1)!=esk1_0|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_58]), c_0_42])).
cnf(c_0_80, negated_conjecture, (k1_funct_1(k4_surrealn,esk4_2(esk1_0,k12_surreal0(esk1_0)))=esk1_0|v1_rat_1(esk2_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_63]), c_0_46]), c_0_70]), c_0_71])).
fof(c_0_81, plain, ![X31, X32]:(~v1_finset_1(X31)|(~m1_subset_1(X32,k1_zfmisc_1(X31))|v1_finset_1(X32))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_finset_1])])])).
cnf(c_0_82, plain, (m1_subset_1(X1,k1_zfmisc_1(X2))|~r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_83, plain, (r1_tarski(k12_surreal0(k1_funct_1(k4_surrealn,X1)),esk5_1(X1))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_18]), c_0_46])).
cnf(c_0_84, plain, (v1_finset_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_85, negated_conjecture, (k1_funct_1(k4_surrealn,esk2_0)=esk1_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_64]), c_0_65])).
cnf(c_0_86, negated_conjecture, (v1_surrealn(esk2_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_67]), c_0_68])).
cnf(c_0_87, negated_conjecture, (v1_rat_1(esk2_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_70]), c_0_71])).
cnf(c_0_88, plain, (v1_finset_1(X2)|~v1_finset_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(X1))), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_89, plain, (m1_subset_1(k12_surreal0(k1_funct_1(k4_surrealn,X1)),k1_zfmisc_1(esk5_1(X1)))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(spm,[status(thm)],[c_0_82, c_0_83])).
cnf(c_0_90, plain, (v1_finset_1(esk5_1(X1))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(spm,[status(thm)],[c_0_84, c_0_34])).
cnf(c_0_91, negated_conjecture, (v2_surrealo(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_85]), c_0_86]), c_0_87])])).
cnf(c_0_92, plain, (v1_finset_1(k12_surreal0(k1_funct_1(k4_surrealn,X1)))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_90])).
cnf(c_0_93, negated_conjecture, (k1_funct_1(k4_surrealn,X1)!=esk1_0|~v1_surrealn(X1)|~v1_rat_1(X1)|~v1_finset_1(k12_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_91])])).
cnf(c_0_94, negated_conjecture, (v1_finset_1(k12_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_85]), c_0_86]), c_0_87])])).
cnf(c_0_95, negated_conjecture, (k1_funct_1(k4_surrealn,X1)!=esk1_0|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93, c_0_94])])).
cnf(c_0_96, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_85]), c_0_86]), c_0_87])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 97
# Proof object clause steps            : 68
# Proof object formula steps           : 29
# Proof object conjectures             : 38
# Proof object clause conjectures      : 35
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 25
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 37
# Proof object simplifying inferences  : 73
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 34
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 34
# Processed clauses                    : 129
# ...of these trivial                  : 3
# ...subsumed                          : 5
# ...remaining for further processing  : 121
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 28
# Generated clauses                    : 148
# ...of the previous two non-trivial   : 138
# Contextual simplify-reflections      : 49
# Paramodulations                      : 146
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2
# 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  : 56
#    Positive orientable unit clauses  : 6
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 0
#    Non-unit-clauses                  : 50
# Current number of unprocessed clauses: 53
# ...number of literals in the above   : 188
# Current number of archived formulas  : 0
# Current number of archived clauses   : 63
# Clause-clause subsumption calls (NU) : 1670
# Rec. Clause-clause subsumption calls : 807
# Non-unit clause-clause subsumptions  : 58
# Unit Clause-clause subsumption calls : 8
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 5
# BW rewrite match successes           : 5
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 6431

# -------------------------------------------------
# User time                : 0.021 s
# System time              : 0.004 s
# Total time               : 0.025 s
# Maximum resident set size: 3572 pages
