# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_SE_Q4_CS_SP_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.019 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d2_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r2_surrealo(X1,X2)<=>(r1_surrealo(X1,X2)&r1_surrealo(X2,X1))))), file('surreali/surreali__t41_surreali', d2_surrealo)).
fof(redefinition_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)<=>r5_surreal0(X1,X2))), file('surreali/surreali__t41_surreali', redefinition_r1_surrealo)).
fof(t41_surreali, conjecture, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r2_surrealo(k16_surrealr(X1,X2),k11_surreal0)<=>(r2_surrealo(X1,k11_surreal0)|r2_surrealo(X2,k11_surreal0))))), file('surreali/surreali__t41_surreali', t41_surreali)).
fof(symmetry_r2_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r2_surrealo(X1,X2)=>r2_surrealo(X2,X1))), file('surreali/surreali__t41_surreali', symmetry_r2_surrealo)).
fof(t72_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(~(((~(r5_surreal0(k16_surrealr(X1,X2),k11_surreal0))&~((~(r5_surreal0(k11_surreal0,X1))&~(r5_surreal0(k11_surreal0,X2)))))&~((~(r5_surreal0(X1,k11_surreal0))&~(r5_surreal0(X2,k11_surreal0))))))&~((((~(r5_surreal0(k11_surreal0,X1))&~(r5_surreal0(k11_surreal0,X2)))|(~(r5_surreal0(X1,k11_surreal0))&~(r5_surreal0(X2,k11_surreal0))))&r5_surreal0(k16_surrealr(X1,X2),k11_surreal0)))))), file('surreali/surreali__t41_surreali', t72_surrealr)).
fof(t74_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(~(((~(r5_surreal0(k11_surreal0,k16_surrealr(X1,X2)))&~((~(r5_surreal0(k11_surreal0,X1))&~(r5_surreal0(X2,k11_surreal0)))))&~((~(r5_surreal0(X1,k11_surreal0))&~(r5_surreal0(k11_surreal0,X2))))))&~((((~(r5_surreal0(k11_surreal0,X1))&~(r5_surreal0(X2,k11_surreal0)))|(~(r5_surreal0(X1,k11_surreal0))&~(r5_surreal0(k11_surreal0,X2))))&r5_surreal0(k11_surreal0,k16_surrealr(X1,X2))))))), file('surreali/surreali__t41_surreali', t74_surrealr)).
fof(dt_k11_surreal0, axiom, v2_surreal0(k11_surreal0), file('surreali/surreali__t41_surreali', dt_k11_surreal0)).
fof(fc8_surrealr, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>v2_surreal0(k14_surrealr(X1,X2))), file('surreali/surreali__t41_surreali', fc8_surrealr)).
fof(redefinition_k16_surrealr, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>k16_surrealr(X1,X2)=k14_surrealr(X1,X2)), file('surreali/surreali__t41_surreali', redefinition_k16_surrealr)).
fof(c_0_9, plain, ![X29, X30]:(((r1_surrealo(X29,X30)|~r2_surrealo(X29,X30)|~v2_surreal0(X30)|~v2_surreal0(X29))&(r1_surrealo(X30,X29)|~r2_surrealo(X29,X30)|~v2_surreal0(X30)|~v2_surreal0(X29)))&(~r1_surrealo(X29,X30)|~r1_surrealo(X30,X29)|r2_surrealo(X29,X30)|~v2_surreal0(X30)|~v2_surreal0(X29))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_surrealo])])])])).
fof(c_0_10, plain, ![X21, X22]:((~r1_surrealo(X21,X22)|r5_surreal0(X21,X22)|(~v2_surreal0(X21)|~v2_surreal0(X22)))&(~r5_surreal0(X21,X22)|r1_surrealo(X21,X22)|(~v2_surreal0(X21)|~v2_surreal0(X22)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
fof(c_0_11, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r2_surrealo(k16_surrealr(X1,X2),k11_surreal0)<=>(r2_surrealo(X1,k11_surreal0)|r2_surrealo(X2,k11_surreal0)))))), inference(assume_negation,[status(cth)],[t41_surreali])).
cnf(c_0_12, plain, (r2_surrealo(X1,X2)|~r1_surrealo(X1,X2)|~r1_surrealo(X2,X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_13, plain, (r1_surrealo(X1,X2)|~r5_surreal0(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_14, plain, ![X25, X26]:(~v2_surreal0(X25)|~v2_surreal0(X26)|(~r2_surrealo(X25,X26)|r2_surrealo(X26,X25))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r2_surrealo])])).
fof(c_0_15, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreal0(esk2_0)&(((~r2_surrealo(esk1_0,k11_surreal0)|~r2_surrealo(k16_surrealr(esk1_0,esk2_0),k11_surreal0))&(~r2_surrealo(esk2_0,k11_surreal0)|~r2_surrealo(k16_surrealr(esk1_0,esk2_0),k11_surreal0)))&(r2_surrealo(k16_surrealr(esk1_0,esk2_0),k11_surreal0)|(r2_surrealo(esk1_0,k11_surreal0)|r2_surrealo(esk2_0,k11_surreal0)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])).
cnf(c_0_16, plain, (r2_surrealo(X1,X2)|~r5_surreal0(X2,X1)|~r1_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_12, c_0_13])).
fof(c_0_17, plain, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(~(((~r5_surreal0(k16_surrealr(X1,X2),k11_surreal0)&~((~r5_surreal0(k11_surreal0,X1)&~r5_surreal0(k11_surreal0,X2))))&~((~r5_surreal0(X1,k11_surreal0)&~r5_surreal0(X2,k11_surreal0)))))&~((((~r5_surreal0(k11_surreal0,X1)&~r5_surreal0(k11_surreal0,X2))|(~r5_surreal0(X1,k11_surreal0)&~r5_surreal0(X2,k11_surreal0)))&r5_surreal0(k16_surrealr(X1,X2),k11_surreal0)))))), inference(fof_simplification,[status(thm)],[t72_surrealr])).
fof(c_0_18, plain, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(~(((~r5_surreal0(k11_surreal0,k16_surrealr(X1,X2))&~((~r5_surreal0(k11_surreal0,X1)&~r5_surreal0(X2,k11_surreal0))))&~((~r5_surreal0(X1,k11_surreal0)&~r5_surreal0(k11_surreal0,X2)))))&~((((~r5_surreal0(k11_surreal0,X1)&~r5_surreal0(X2,k11_surreal0))|(~r5_surreal0(X1,k11_surreal0)&~r5_surreal0(k11_surreal0,X2)))&r5_surreal0(k11_surreal0,k16_surrealr(X1,X2))))))), inference(fof_simplification,[status(thm)],[t74_surrealr])).
cnf(c_0_19, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_20, plain, (r1_surrealo(X1,X2)|~r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_21, plain, (r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealo(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_22, negated_conjecture, (r2_surrealo(k16_surrealr(esk1_0,esk2_0),k11_surreal0)|r2_surrealo(esk1_0,k11_surreal0)|r2_surrealo(esk2_0,k11_surreal0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_23, plain, (v2_surreal0(k11_surreal0)), inference(split_conjunct,[status(thm)],[dt_k11_surreal0])).
cnf(c_0_24, negated_conjecture, (~r2_surrealo(esk1_0,k11_surreal0)|~r2_surrealo(k16_surrealr(esk1_0,esk2_0),k11_surreal0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_25, plain, (r2_surrealo(X1,X2)|~r5_surreal0(X2,X1)|~r5_surreal0(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_16, c_0_13])).
fof(c_0_26, plain, ![X31, X32]:((((~r5_surreal0(X31,k11_surreal0)|(~r5_surreal0(k11_surreal0,X31)|r5_surreal0(k16_surrealr(X31,X32),k11_surreal0))|~v2_surreal0(X32)|~v2_surreal0(X31))&(~r5_surreal0(X32,k11_surreal0)|(~r5_surreal0(k11_surreal0,X31)|r5_surreal0(k16_surrealr(X31,X32),k11_surreal0))|~v2_surreal0(X32)|~v2_surreal0(X31)))&((~r5_surreal0(X31,k11_surreal0)|(~r5_surreal0(k11_surreal0,X32)|r5_surreal0(k16_surrealr(X31,X32),k11_surreal0))|~v2_surreal0(X32)|~v2_surreal0(X31))&(~r5_surreal0(X32,k11_surreal0)|(~r5_surreal0(k11_surreal0,X32)|r5_surreal0(k16_surrealr(X31,X32),k11_surreal0))|~v2_surreal0(X32)|~v2_surreal0(X31))))&((r5_surreal0(k11_surreal0,X31)|r5_surreal0(k11_surreal0,X32)|~r5_surreal0(k16_surrealr(X31,X32),k11_surreal0)|~v2_surreal0(X32)|~v2_surreal0(X31))&(r5_surreal0(X31,k11_surreal0)|r5_surreal0(X32,k11_surreal0)|~r5_surreal0(k16_surrealr(X31,X32),k11_surreal0)|~v2_surreal0(X32)|~v2_surreal0(X31)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])).
fof(c_0_27, plain, ![X33, X34]:((((~r5_surreal0(X33,k11_surreal0)|(~r5_surreal0(k11_surreal0,X33)|r5_surreal0(k11_surreal0,k16_surrealr(X33,X34)))|~v2_surreal0(X34)|~v2_surreal0(X33))&(~r5_surreal0(k11_surreal0,X34)|(~r5_surreal0(k11_surreal0,X33)|r5_surreal0(k11_surreal0,k16_surrealr(X33,X34)))|~v2_surreal0(X34)|~v2_surreal0(X33)))&((~r5_surreal0(X33,k11_surreal0)|(~r5_surreal0(X34,k11_surreal0)|r5_surreal0(k11_surreal0,k16_surrealr(X33,X34)))|~v2_surreal0(X34)|~v2_surreal0(X33))&(~r5_surreal0(k11_surreal0,X34)|(~r5_surreal0(X34,k11_surreal0)|r5_surreal0(k11_surreal0,k16_surrealr(X33,X34)))|~v2_surreal0(X34)|~v2_surreal0(X33))))&((r5_surreal0(k11_surreal0,X33)|r5_surreal0(X34,k11_surreal0)|~r5_surreal0(k11_surreal0,k16_surrealr(X33,X34))|~v2_surreal0(X34)|~v2_surreal0(X33))&(r5_surreal0(X33,k11_surreal0)|r5_surreal0(k11_surreal0,X34)|~r5_surreal0(k11_surreal0,k16_surrealr(X33,X34))|~v2_surreal0(X34)|~v2_surreal0(X33)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])).
cnf(c_0_28, plain, (r5_surreal0(X1,X2)|~r2_surrealo(X2,X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
cnf(c_0_29, negated_conjecture, (r2_surrealo(k11_surreal0,k16_surrealr(esk1_0,esk2_0))|r2_surrealo(esk1_0,k11_surreal0)|r2_surrealo(esk2_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23])])).
cnf(c_0_30, negated_conjecture, (~r5_surreal0(k11_surreal0,k16_surrealr(esk1_0,esk2_0))|~r5_surreal0(k16_surrealr(esk1_0,esk2_0),k11_surreal0)|~r2_surrealo(esk1_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_23])])).
cnf(c_0_31, plain, (r5_surreal0(k16_surrealr(X1,X2),k11_surreal0)|~r5_surreal0(X1,k11_surreal0)|~r5_surreal0(k11_surreal0,X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_32, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_33, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_34, plain, (r5_surreal0(X1,k11_surreal0)|r5_surreal0(k11_surreal0,X2)|~r5_surreal0(k11_surreal0,k16_surrealr(X1,X2))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_35, negated_conjecture, (r5_surreal0(k11_surreal0,k16_surrealr(esk1_0,esk2_0))|r2_surrealo(esk1_0,k11_surreal0)|r2_surrealo(esk2_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_22]), c_0_23])])).
cnf(c_0_36, plain, (r5_surreal0(k11_surreal0,X1)|r5_surreal0(k11_surreal0,X2)|~r5_surreal0(k16_surrealr(X1,X2),k11_surreal0)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_37, negated_conjecture, (r5_surreal0(k16_surrealr(esk1_0,esk2_0),k11_surreal0)|r2_surrealo(esk2_0,k11_surreal0)|r2_surrealo(esk1_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_23])])).
cnf(c_0_38, negated_conjecture, (~r5_surreal0(k11_surreal0,k16_surrealr(esk1_0,esk2_0))|~r5_surreal0(esk1_0,k11_surreal0)|~r5_surreal0(k11_surreal0,esk1_0)|~r2_surrealo(esk1_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), 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_39, plain, (r5_surreal0(k11_surreal0,k16_surrealr(X1,X2))|~r5_surreal0(X1,k11_surreal0)|~r5_surreal0(k11_surreal0,X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
fof(c_0_40, plain, ![X23, X24]:(~v2_surreal0(X23)|~v2_surreal0(X24)|v2_surreal0(k14_surrealr(X23,X24))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_surrealr])])).
fof(c_0_41, plain, ![X27, X28]:(~v2_surreal0(X27)|~v2_surreal0(X28)|k16_surrealr(X27,X28)=k14_surrealr(X27,X28)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k16_surrealr])])).
cnf(c_0_42, plain, (r1_surrealo(X1,X2)|~r2_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_43, negated_conjecture, (r5_surreal0(esk1_0,k11_surreal0)|r5_surreal0(k11_surreal0,esk2_0)|r2_surrealo(esk2_0,k11_surreal0)|r2_surrealo(esk1_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_32]), c_0_33])])).
cnf(c_0_44, negated_conjecture, (r5_surreal0(k11_surreal0,esk2_0)|r5_surreal0(k11_surreal0,esk1_0)|r2_surrealo(esk1_0,k11_surreal0)|r2_surrealo(esk2_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_32]), c_0_33])])).
cnf(c_0_45, negated_conjecture, (~r5_surreal0(esk1_0,k11_surreal0)|~r5_surreal0(k11_surreal0,esk1_0)|~r2_surrealo(esk1_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_32]), c_0_33])])).
cnf(c_0_46, plain, (v2_surreal0(k14_surrealr(X1,X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_47, plain, (k16_surrealr(X1,X2)=k14_surrealr(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_48, plain, (r5_surreal0(X1,X2)|~r2_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_19, c_0_42])).
cnf(c_0_49, negated_conjecture, (r5_surreal0(esk1_0,k11_surreal0)|r5_surreal0(k11_surreal0,esk2_0)|r2_surrealo(esk1_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_43]), c_0_32]), c_0_23])])).
cnf(c_0_50, negated_conjecture, (r5_surreal0(k11_surreal0,esk1_0)|r5_surreal0(k11_surreal0,esk2_0)|r2_surrealo(esk1_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_44]), c_0_32]), c_0_23])])).
cnf(c_0_51, negated_conjecture, (~r5_surreal0(esk1_0,k11_surreal0)|~r5_surreal0(k11_surreal0,esk1_0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_25]), c_0_23]), c_0_33])])).
cnf(c_0_52, plain, (v2_surreal0(k16_surrealr(X1,X2))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_46, c_0_47])).
cnf(c_0_53, negated_conjecture, (r5_surreal0(k11_surreal0,esk2_0)|r5_surreal0(esk1_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_23]), c_0_33])])).
cnf(c_0_54, negated_conjecture, (r5_surreal0(k11_surreal0,esk2_0)|r5_surreal0(k11_surreal0,esk1_0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_50]), c_0_33]), c_0_23])])).
cnf(c_0_55, negated_conjecture, (~r2_surrealo(esk2_0,k11_surreal0)|~r2_surrealo(k16_surrealr(esk1_0,esk2_0),k11_surreal0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_56, negated_conjecture, (~r5_surreal0(esk1_0,k11_surreal0)|~r5_surreal0(k11_surreal0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_32]), c_0_33])])).
cnf(c_0_57, negated_conjecture, (r5_surreal0(esk1_0,k11_surreal0)|r5_surreal0(k11_surreal0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_52]), c_0_32]), c_0_33])])).
cnf(c_0_58, negated_conjecture, (r5_surreal0(k11_surreal0,esk1_0)|r5_surreal0(k11_surreal0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_52]), c_0_32]), c_0_33])])).
cnf(c_0_59, plain, (r5_surreal0(X1,k11_surreal0)|r5_surreal0(X2,k11_surreal0)|~r5_surreal0(k16_surrealr(X1,X2),k11_surreal0)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_60, negated_conjecture, (~r5_surreal0(k11_surreal0,k16_surrealr(esk1_0,esk2_0))|~r5_surreal0(k16_surrealr(esk1_0,esk2_0),k11_surreal0)|~r2_surrealo(esk2_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_25]), c_0_23])])).
cnf(c_0_61, plain, (r5_surreal0(k16_surrealr(X2,X1),k11_surreal0)|~r5_surreal0(X1,k11_surreal0)|~r5_surreal0(k11_surreal0,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_62, negated_conjecture, (r5_surreal0(k11_surreal0,esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58])).
cnf(c_0_63, negated_conjecture, (r5_surreal0(esk2_0,k11_surreal0)|r5_surreal0(esk1_0,k11_surreal0)|r2_surrealo(esk1_0,k11_surreal0)|r2_surrealo(esk2_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_37]), c_0_32]), c_0_33])])).
cnf(c_0_64, negated_conjecture, (~r5_surreal0(k11_surreal0,k16_surrealr(esk1_0,esk2_0))|~r5_surreal0(esk2_0,k11_surreal0)|~r2_surrealo(esk2_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_33]), c_0_32])]), c_0_62])])).
cnf(c_0_65, plain, (r5_surreal0(k11_surreal0,k16_surrealr(X2,X1))|~r5_surreal0(k11_surreal0,X1)|~r5_surreal0(X1,k11_surreal0)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_66, plain, (r5_surreal0(k11_surreal0,X1)|r5_surreal0(X2,k11_surreal0)|~r5_surreal0(k11_surreal0,k16_surrealr(X1,X2))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_67, negated_conjecture, (r5_surreal0(esk1_0,k11_surreal0)|r5_surreal0(esk2_0,k11_surreal0)|r2_surrealo(esk1_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_63]), c_0_23]), c_0_32])])).
cnf(c_0_68, negated_conjecture, (~r5_surreal0(esk2_0,k11_surreal0)|~r2_surrealo(esk2_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_62]), c_0_33]), c_0_32])])).
cnf(c_0_69, negated_conjecture, (r5_surreal0(esk2_0,k11_surreal0)|r5_surreal0(k11_surreal0,esk1_0)|r2_surrealo(esk2_0,k11_surreal0)|r2_surrealo(esk1_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_35]), c_0_32]), c_0_33])])).
cnf(c_0_70, negated_conjecture, (r5_surreal0(esk2_0,k11_surreal0)|r5_surreal0(esk1_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_67]), c_0_23]), c_0_33])])).
cnf(c_0_71, negated_conjecture, (~r5_surreal0(esk2_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_25]), c_0_62]), c_0_23]), c_0_32])])).
cnf(c_0_72, negated_conjecture, (r5_surreal0(k11_surreal0,esk1_0)|r5_surreal0(esk2_0,k11_surreal0)|r2_surrealo(esk1_0,k11_surreal0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_69]), c_0_23]), c_0_32])])).
cnf(c_0_73, negated_conjecture, (r5_surreal0(esk1_0,k11_surreal0)|r5_surreal0(esk2_0,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_52]), c_0_32]), c_0_33])])).
cnf(c_0_74, negated_conjecture, (~r5_surreal0(esk2_0,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_52]), c_0_32]), c_0_33])])).
cnf(c_0_75, negated_conjecture, (r5_surreal0(esk2_0,k11_surreal0)|r5_surreal0(k11_surreal0,esk1_0)|~v2_surreal0(k16_surrealr(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_72]), c_0_33]), c_0_23])])).
cnf(c_0_76, negated_conjecture, (r5_surreal0(esk1_0,k11_surreal0)), inference(sr,[status(thm)],[c_0_73, c_0_74])).
cnf(c_0_77, negated_conjecture, (r5_surreal0(k11_surreal0,esk1_0)|r5_surreal0(esk2_0,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_52]), c_0_32]), c_0_33])])).
cnf(c_0_78, negated_conjecture, (~r5_surreal0(k11_surreal0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_76])])).
cnf(c_0_79, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_77, c_0_74]), c_0_78]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 80
# Proof object clause steps            : 60
# Proof object formula steps           : 20
# Proof object conjectures             : 41
# Proof object clause conjectures      : 38
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 22
# Proof object initial formulas used   : 9
# Proof object generating inferences   : 35
# Proof object simplifying inferences  : 92
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 9
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 26
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 26
# Processed clauses                    : 94
# ...of these trivial                  : 0
# ...subsumed                          : 16
# ...remaining for further processing  : 77
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 29
# Backward-rewritten                   : 5
# Generated clauses                    : 133
# ...of the previous two non-trivial   : 102
# Contextual simplify-reflections      : 1
# Paramodulations                      : 131
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 41
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 34
# Current number of unprocessed clauses: 16
# ...number of literals in the above   : 78
# Current number of archived formulas  : 0
# Current number of archived clauses   : 36
# Clause-clause subsumption calls (NU) : 504
# Rec. Clause-clause subsumption calls : 106
# Non-unit clause-clause subsumptions  : 45
# Unit Clause-clause subsumption calls : 14
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 4810

# -------------------------------------------------
# User time                : 0.023 s
# System time              : 0.002 s
# Total time               : 0.025 s
# Maximum resident set size: 2916 pages
