# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t55_surrealc, conjecture, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v1_xreal_0(X3)=>((v2_surreali(X1)&r2_surrealc(k4_surrealc(k10_surrealr(X1,k16_surrealr(k3_surrealc(X2),k1_funct_1(k6_surrealn,X3)))),X1))=>v2_xxreal_0(X3))))), file('surrealc/surrealc__t55_surrealc', t55_surrealc)).
fof(rd3_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>k8_surrealr(X1,k11_surreal0)=X1), file('surrealc/surrealc__t55_surrealc', rd3_surrealr)).
fof(commutativity_k8_surrealr, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>k8_surrealr(X1,X2)=k8_surrealr(X2,X1)), file('surrealc/surrealc__t55_surrealc', commutativity_k8_surrealr)).
fof(d8_surreali, axiom, ![X1]:(v2_surreal0(X1)=>(v2_surreali(X1)<=>~(r5_surreal0(X1,k11_surreal0)))), file('surrealc/surrealc__t55_surrealc', d8_surreali)).
fof(t9_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>~((r2_surrealc(X1,X2)&r5_surreal0(X2,X1))))), file('surrealc/surrealc__t55_surrealc', t9_surrealc)).
fof(d9_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>k10_surrealr(X1,X2)=k8_surrealr(X1,k2_surrealr(X2)))), file('surrealc/surrealc__t55_surrealc', d9_surrealr)).
fof(dt_k11_surreal0, axiom, v2_surreal0(k11_surreal0), file('surrealc/surrealc__t55_surrealc', dt_k11_surreal0)).
fof(fc3_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k2_surrealr(X1))), file('surrealc/surrealc__t55_surrealc', fc3_surrealr)).
fof(redefinition_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)<=>r5_surreal0(X1,X2))), file('surrealc/surrealc__t55_surrealc', redefinition_r1_surrealo)).
fof(d6_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>((r1_surrealo(k11_surreal0,X1)=>k4_surrealc(X1)=X1)&(~(r1_surrealo(k11_surreal0,X1))=>k4_surrealc(X1)=k2_surrealr(X1)))), file('surrealc/surrealc__t55_surrealc', d6_surrealc)).
fof(t43_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>![X4]:(v2_surreal0(X4)=>((r1_surrealo(X1,X2)&r1_surrealo(X3,X4))=>r1_surrealo(k8_surrealr(X1,X3),k8_surrealr(X2,X4))))))), file('surrealc/surrealc__t55_surrealc', t43_surrealr)).
fof(rd2_surrealr, axiom, k2_surrealr(k11_surreal0)=k11_surreal0, file('surrealc/surrealc__t55_surrealc', rd2_surrealr)).
fof(connectedness_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)|r1_surrealo(X2,X1))), file('surrealc/surrealc__t55_surrealc', connectedness_r1_surrealo)).
fof(dt_k10_surrealr, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>v2_surreal0(k10_surrealr(X1,X2))), file('surrealc/surrealc__t55_surrealc', dt_k10_surrealr)).
fof(t10_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r1_surrealo(X1,X2)<=>r1_surrealo(k2_surrealr(X2),k2_surrealr(X1))))), file('surrealc/surrealc__t55_surrealc', t10_surrealr)).
fof(fc8_surrealr, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>v2_surreal0(k14_surrealr(X1,X2))), file('surrealc/surrealc__t55_surrealc', fc8_surrealr)).
fof(redefinition_k16_surrealr, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>k16_surrealr(X1,X2)=k14_surrealr(X1,X2)), file('surrealc/surrealc__t55_surrealc', redefinition_k16_surrealr)).
fof(rd4_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>k16_surrealr(X1,k11_surreal0)=k11_surreal0), file('surrealc/surrealc__t55_surrealc', rd4_surrealr)).
fof(commutativity_k16_surrealr, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>k16_surrealr(X1,X2)=k16_surrealr(X2,X1)), file('surrealc/surrealc__t55_surrealc', commutativity_k16_surrealr)).
fof(fc2_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreali(k3_surrealc(X1))), file('surrealc/surrealc__t55_surrealc', fc2_surrealc)).
fof(fc1_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k3_surrealc(X1))), file('surrealc/surrealc__t55_surrealc', fc1_surrealc)).
fof(t51_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>(~((~(r5_surreal0(k1_funct_1(k6_surrealn,X2),k1_funct_1(k6_surrealn,X1)))&r1_xxreal_0(X2,X1)))&~((~(r1_xxreal_0(X2,X1))&r5_surreal0(k1_funct_1(k6_surrealn,X2),k1_funct_1(k6_surrealn,X1))))))), file('surrealc/surrealc__t55_surrealc', t51_surrealn)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('surrealc/surrealc__t55_surrealc', cc2_xreal_0)).
fof(t7_real, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((~(r1_xxreal_0(X1,X2))&~(v2_xxreal_0(X1)))&~(v3_xxreal_0(X2)))))), file('surrealc/surrealc__t55_surrealc', t7_real)).
fof(t75_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>((r1_surrealo(k11_surreal0,X1)&r1_surrealo(X2,X3))=>r1_surrealo(k16_surrealr(X2,X1),k16_surrealr(X3,X1)))))), file('surrealc/surrealc__t55_surrealc', t75_surrealr)).
fof(t47_surrealn, axiom, k1_funct_1(k6_surrealn,k5_numbers)=k11_surreal0, file('surrealc/surrealc__t55_surrealc', t47_surrealn)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('surrealc/surrealc__t55_surrealc', redefinition_k5_numbers)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('surrealc/surrealc__t55_surrealc', fc8_ordinal1)).
fof(fc13_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>v2_surreal0(k1_funct_1(k6_surrealn,X1))), file('surrealc/surrealc__t55_surrealc', fc13_surrealn)).
fof(cc5_xxreal_0, axiom, ![X1]:((v1_xxreal_0(X1)&v3_xxreal_0(X1))=>((~(v8_ordinal1(X1))&v1_xxreal_0(X1))&~(v2_xxreal_0(X1)))), file('surrealc/surrealc__t55_surrealc', cc5_xxreal_0)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1), file('surrealc/surrealc__t55_surrealc', fc9_ordinal1)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('surrealc/surrealc__t55_surrealc', cc2_xxreal_0)).
fof(c_0_32, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v1_xreal_0(X3)=>((v2_surreali(X1)&r2_surrealc(k4_surrealc(k10_surrealr(X1,k16_surrealr(k3_surrealc(X2),k1_funct_1(k6_surrealn,X3)))),X1))=>v2_xxreal_0(X3)))))), inference(assume_negation,[status(cth)],[t55_surrealc])).
fof(c_0_33, plain, ![X74]:(~v2_surreal0(X74)|k8_surrealr(X74,k11_surreal0)=X74), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd3_surrealr])])).
fof(c_0_34, plain, ![X58, X59]:(~v2_surreal0(X58)|~v2_surreal0(X59)|k8_surrealr(X58,X59)=k8_surrealr(X59,X58)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k8_surrealr])])).
fof(c_0_35, plain, ![X1]:(v2_surreal0(X1)=>(v2_surreali(X1)<=>~r5_surreal0(X1,k11_surreal0))), inference(fof_simplification,[status(thm)],[d8_surreali])).
fof(c_0_36, plain, ![X93, X94]:(~v2_surreal0(X93)|(~v2_surreal0(X94)|(~r2_surrealc(X93,X94)|~r5_surreal0(X94,X93)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_surrealc])])])).
fof(c_0_37, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreal0(esk2_0)&(v1_xreal_0(esk3_0)&((v2_surreali(esk1_0)&r2_surrealc(k4_surrealc(k10_surrealr(esk1_0,k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0)))),esk1_0))&~v2_xxreal_0(esk3_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])).
fof(c_0_38, plain, ![X64, X65]:(~v2_surreal0(X64)|(~v2_surreal0(X65)|k10_surrealr(X64,X65)=k8_surrealr(X64,k2_surrealr(X65)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_surrealr])])])).
cnf(c_0_39, plain, (k8_surrealr(X1,k11_surreal0)=X1|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_40, plain, (k8_surrealr(X1,X2)=k8_surrealr(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_41, plain, (v2_surreal0(k11_surreal0)), inference(split_conjunct,[status(thm)],[dt_k11_surreal0])).
fof(c_0_42, plain, ![X71]:(~v2_surreal0(X71)|v2_surreal0(k2_surrealr(X71))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_surrealr])])).
fof(c_0_43, plain, ![X63]:((~v2_surreali(X63)|~r5_surreal0(X63,k11_surreal0)|~v2_surreal0(X63))&(r5_surreal0(X63,k11_surreal0)|v2_surreali(X63)|~v2_surreal0(X63))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])).
cnf(c_0_44, plain, (~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealc(X1,X2)|~r5_surreal0(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_45, negated_conjecture, (r2_surrealc(k4_surrealc(k10_surrealr(esk1_0,k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0)))),esk1_0)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_46, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_37])).
fof(c_0_47, plain, ![X78, X79]:((~r1_surrealo(X78,X79)|r5_surreal0(X78,X79)|(~v2_surreal0(X78)|~v2_surreal0(X79)))&(~r5_surreal0(X78,X79)|r1_surrealo(X78,X79)|(~v2_surreal0(X78)|~v2_surreal0(X79)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
fof(c_0_48, plain, ![X1]:(v2_surreal0(X1)=>((r1_surrealo(k11_surreal0,X1)=>k4_surrealc(X1)=X1)&(~r1_surrealo(k11_surreal0,X1)=>k4_surrealc(X1)=k2_surrealr(X1)))), inference(fof_simplification,[status(thm)],[d6_surrealc])).
fof(c_0_49, plain, ![X82, X83, X84, X85]:(~v2_surreal0(X82)|(~v2_surreal0(X83)|(~v2_surreal0(X84)|(~v2_surreal0(X85)|(~r1_surrealo(X82,X83)|~r1_surrealo(X84,X85)|r1_surrealo(k8_surrealr(X82,X84),k8_surrealr(X83,X85))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t43_surrealr])])])).
cnf(c_0_50, plain, (k10_surrealr(X1,X2)=k8_surrealr(X1,k2_surrealr(X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_51, plain, (k2_surrealr(k11_surreal0)=k11_surreal0), inference(split_conjunct,[status(thm)],[rd2_surrealr])).
cnf(c_0_52, plain, (k8_surrealr(k11_surreal0,X1)=X1|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])])).
cnf(c_0_53, plain, (v2_surreal0(k2_surrealr(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
fof(c_0_54, plain, ![X60, X61]:(~v2_surreal0(X60)|~v2_surreal0(X61)|(r1_surrealo(X60,X61)|r1_surrealo(X61,X60))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_r1_surrealo])])).
cnf(c_0_55, plain, (~v2_surreali(X1)|~r5_surreal0(X1,k11_surreal0)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_56, negated_conjecture, (v2_surreali(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_57, negated_conjecture, (~r5_surreal0(esk1_0,k4_surrealc(k10_surrealr(esk1_0,k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0)))))|~v2_surreal0(k4_surrealc(k10_surrealr(esk1_0,k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46])])).
cnf(c_0_58, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_47])).
fof(c_0_59, plain, ![X62]:((~r1_surrealo(k11_surreal0,X62)|k4_surrealc(X62)=X62|~v2_surreal0(X62))&(r1_surrealo(k11_surreal0,X62)|k4_surrealc(X62)=k2_surrealr(X62)|~v2_surreal0(X62))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])).
cnf(c_0_60, plain, (r1_surrealo(k8_surrealr(X1,X3),k8_surrealr(X2,X4))|~v2_surreal0(X1)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X4)|~r1_surrealo(X1,X2)|~r1_surrealo(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_61, plain, (k10_surrealr(X1,k11_surreal0)=k8_surrealr(X1,k11_surreal0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_41])])).
cnf(c_0_62, plain, (k10_surrealr(k11_surreal0,X1)=k2_surrealr(X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_52]), c_0_41])]), c_0_53])).
cnf(c_0_63, plain, (r1_surrealo(X1,X2)|r1_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_64, negated_conjecture, (~r5_surreal0(esk1_0,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_46])])).
cnf(c_0_65, negated_conjecture, (~r1_surrealo(esk1_0,k4_surrealc(k10_surrealr(esk1_0,k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0)))))|~v2_surreal0(k4_surrealc(k10_surrealr(esk1_0,k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_46])])).
cnf(c_0_66, plain, (k4_surrealc(X1)=X1|~r1_surrealo(k11_surreal0,X1)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_67, plain, (r1_surrealo(k8_surrealr(X1,X2),k10_surrealr(X3,X4))|~r1_surrealo(X2,k2_surrealr(X4))|~r1_surrealo(X1,X3)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)|~v2_surreal0(X4)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_50]), c_0_53])).
cnf(c_0_68, plain, (k8_surrealr(k11_surreal0,k11_surreal0)=k11_surreal0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_51]), c_0_41])])).
cnf(c_0_69, negated_conjecture, (r1_surrealo(X1,esk1_0)|r1_surrealo(esk1_0,X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_63, c_0_46])).
cnf(c_0_70, negated_conjecture, (~r1_surrealo(esk1_0,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_58]), c_0_41]), c_0_46])])).
cnf(c_0_71, negated_conjecture, (~r1_surrealo(esk1_0,k10_surrealr(esk1_0,k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0))))|~r1_surrealo(k11_surreal0,k10_surrealr(esk1_0,k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0))))|~v2_surreal0(k10_surrealr(esk1_0,k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0))))), inference(spm,[status(thm)],[c_0_65, c_0_66])).
cnf(c_0_72, plain, (r1_surrealo(k11_surreal0,k10_surrealr(X1,X2))|~r1_surrealo(k11_surreal0,k2_surrealr(X2))|~r1_surrealo(k11_surreal0,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_41])])).
cnf(c_0_73, negated_conjecture, (r1_surrealo(k11_surreal0,esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_41]), c_0_70])).
cnf(c_0_74, negated_conjecture, (~r1_surrealo(esk1_0,k10_surrealr(esk1_0,k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0))))|~r1_surrealo(k11_surreal0,k2_surrealr(k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0))))|~v2_surreal0(k10_surrealr(esk1_0,k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0))))|~v2_surreal0(k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_73]), c_0_46])])).
cnf(c_0_75, plain, (r1_surrealo(X1,k10_surrealr(X2,X3))|~r1_surrealo(k11_surreal0,k2_surrealr(X3))|~r1_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)|~v2_surreal0(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_39]), c_0_41])])).
cnf(c_0_76, negated_conjecture, (r1_surrealo(esk1_0,esk1_0)), inference(spm,[status(thm)],[c_0_69, c_0_46])).
fof(c_0_77, plain, ![X66, X67]:(~v2_surreal0(X66)|~v2_surreal0(X67)|v2_surreal0(k10_surrealr(X66,X67))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k10_surrealr])])).
fof(c_0_78, plain, ![X80, X81]:((~r1_surrealo(X80,X81)|r1_surrealo(k2_surrealr(X81),k2_surrealr(X80))|~v2_surreal0(X81)|~v2_surreal0(X80))&(~r1_surrealo(k2_surrealr(X81),k2_surrealr(X80))|r1_surrealo(X80,X81)|~v2_surreal0(X81)|~v2_surreal0(X80))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_surrealr])])])])).
cnf(c_0_79, negated_conjecture, (~r1_surrealo(k11_surreal0,k2_surrealr(k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0))))|~v2_surreal0(k10_surrealr(esk1_0,k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0))))|~v2_surreal0(k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_75]), c_0_76]), c_0_46])])).
cnf(c_0_80, plain, (v2_surreal0(k10_surrealr(X1,X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_81, plain, (r1_surrealo(k2_surrealr(X2),k2_surrealr(X1))|~r1_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_78])).
fof(c_0_82, plain, ![X72, X73]:(~v2_surreal0(X72)|~v2_surreal0(X73)|v2_surreal0(k14_surrealr(X72,X73))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_surrealr])])).
fof(c_0_83, plain, ![X76, X77]:(~v2_surreal0(X76)|~v2_surreal0(X77)|k16_surrealr(X76,X77)=k14_surrealr(X76,X77)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k16_surrealr])])).
fof(c_0_84, plain, ![X75]:(~v2_surreal0(X75)|k16_surrealr(X75,k11_surreal0)=k11_surreal0), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd4_surrealr])])).
fof(c_0_85, plain, ![X56, X57]:(~v2_surreal0(X56)|~v2_surreal0(X57)|k16_surrealr(X56,X57)=k16_surrealr(X57,X56)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k16_surrealr])])).
fof(c_0_86, plain, ![X70]:(~v2_surreal0(X70)|v2_surreali(k3_surrealc(X70))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_surrealc])])).
fof(c_0_87, plain, ![X69]:(~v2_surreal0(X69)|v2_surreal0(k3_surrealc(X69))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_surrealc])])).
fof(c_0_88, plain, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>(~((~r5_surreal0(k1_funct_1(k6_surrealn,X2),k1_funct_1(k6_surrealn,X1))&r1_xxreal_0(X2,X1)))&~((~r1_xxreal_0(X2,X1)&r5_surreal0(k1_funct_1(k6_surrealn,X2),k1_funct_1(k6_surrealn,X1))))))), inference(fof_simplification,[status(thm)],[t51_surrealn])).
fof(c_0_89, plain, ![X53]:(~v7_ordinal1(X53)|v1_xreal_0(X53)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
fof(c_0_90, plain, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((~r1_xxreal_0(X1,X2)&~v2_xxreal_0(X1))&~v3_xxreal_0(X2))))), inference(fof_simplification,[status(thm)],[t7_real])).
cnf(c_0_91, negated_conjecture, (~r1_surrealo(k11_surreal0,k2_surrealr(k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0))))|~v2_surreal0(k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_46])])).
cnf(c_0_92, plain, (r1_surrealo(k11_surreal0,k2_surrealr(X1))|~r1_surrealo(X1,k11_surreal0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_51]), c_0_41])])).
cnf(c_0_93, plain, (v2_surreal0(k14_surrealr(X1,X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_94, plain, (k16_surrealr(X1,X2)=k14_surrealr(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_83])).
fof(c_0_95, plain, ![X88, X89, X90]:(~v2_surreal0(X88)|(~v2_surreal0(X89)|(~v2_surreal0(X90)|(~r1_surrealo(k11_surreal0,X88)|~r1_surrealo(X89,X90)|r1_surrealo(k16_surrealr(X89,X88),k16_surrealr(X90,X88)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t75_surrealr])])])).
cnf(c_0_96, plain, (k16_surrealr(X1,k11_surreal0)=k11_surreal0|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_84])).
cnf(c_0_97, plain, (k16_surrealr(X1,X2)=k16_surrealr(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_85])).
cnf(c_0_98, plain, (v2_surreali(k3_surrealc(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_99, plain, (v2_surreal0(k3_surrealc(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_87])).
fof(c_0_100, plain, ![X86, X87]:((r5_surreal0(k1_funct_1(k6_surrealn,X87),k1_funct_1(k6_surrealn,X86))|~r1_xxreal_0(X87,X86)|~v1_xreal_0(X87)|~v1_xreal_0(X86))&(r1_xxreal_0(X87,X86)|~r5_surreal0(k1_funct_1(k6_surrealn,X87),k1_funct_1(k6_surrealn,X86))|~v1_xreal_0(X87)|~v1_xreal_0(X86))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])])])).
cnf(c_0_101, plain, (k1_funct_1(k6_surrealn,k5_numbers)=k11_surreal0), inference(split_conjunct,[status(thm)],[t47_surrealn])).
cnf(c_0_102, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_103, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_104, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
fof(c_0_105, plain, ![X91, X92]:(~v1_xreal_0(X91)|(~v1_xreal_0(X92)|(r1_xxreal_0(X91,X92)|v2_xxreal_0(X91)|v3_xxreal_0(X92)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])])).
cnf(c_0_106, negated_conjecture, (~r1_surrealo(k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0)),k11_surreal0)|~v2_surreal0(k16_surrealr(k3_surrealc(esk2_0),k1_funct_1(k6_surrealn,esk3_0)))), inference(spm,[status(thm)],[c_0_91, c_0_92])).
cnf(c_0_107, plain, (v2_surreal0(k16_surrealr(X1,X2))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_93, c_0_94])).
cnf(c_0_108, plain, (r1_surrealo(k16_surrealr(X2,X1),k16_surrealr(X3,X1))|~v2_surreal0(X1)|~v2_surreal0(X2)|~v2_surreal0(X3)|~r1_surrealo(k11_surreal0,X1)|~r1_surrealo(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_95])).
cnf(c_0_109, plain, (k16_surrealr(k11_surreal0,X1)=k11_surreal0|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_97]), c_0_41])])).
cnf(c_0_110, plain, (~r5_surreal0(k3_surrealc(X1),k11_surreal0)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_98]), c_0_99])).
cnf(c_0_111, plain, (r5_surreal0(k1_funct_1(k6_surrealn,X1),k1_funct_1(k6_surrealn,X2))|~r1_xxreal_0(X1,X2)|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_100])).
cnf(c_0_112, plain, (k1_funct_1(k6_surrealn,k5_ordinal1)=k11_surreal0), inference(rw,[status(thm)],[c_0_101, c_0_102])).
cnf(c_0_113, plain, (v1_xreal_0(k5_ordinal1)), inference(spm,[status(thm)],[c_0_103, c_0_104])).
fof(c_0_114, plain, ![X68]:(~v1_xreal_0(X68)|v2_surreal0(k1_funct_1(k6_surrealn,X68))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_surrealn])])).
cnf(c_0_115, plain, (r1_xxreal_0(X1,X2)|v2_xxreal_0(X1)|v3_xxreal_0(X2)|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_105])).
cnf(c_0_116, negated_conjecture, (~r1_surrealo(k16_surrealr(k1_funct_1(k6_surrealn,esk3_0),k3_surrealc(esk2_0)),k11_surreal0)|~v2_surreal0(k1_funct_1(k6_surrealn,esk3_0))|~v2_surreal0(k3_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_97]), c_0_107])).
cnf(c_0_117, plain, (r1_surrealo(k16_surrealr(X1,X2),k11_surreal0)|~r1_surrealo(k11_surreal0,X2)|~r1_surrealo(X1,k11_surreal0)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_109]), c_0_41])])).
cnf(c_0_118, plain, (r1_surrealo(X1,k11_surreal0)|r1_surrealo(k11_surreal0,X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_63, c_0_41])).
cnf(c_0_119, plain, (~r1_surrealo(k3_surrealc(X1),k11_surreal0)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_58]), c_0_41])]), c_0_99])).
cnf(c_0_120, plain, (r1_surrealo(X1,X2)|~r5_surreal0(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_121, plain, (r5_surreal0(k1_funct_1(k6_surrealn,X1),k11_surreal0)|~r1_xxreal_0(X1,k5_ordinal1)|~v1_xreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_112]), c_0_113])])).
cnf(c_0_122, plain, (v2_surreal0(k1_funct_1(k6_surrealn,X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_123, plain, (r1_xxreal_0(X1,k5_ordinal1)|v3_xxreal_0(k5_ordinal1)|v2_xxreal_0(X1)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_115, c_0_113])).
cnf(c_0_124, negated_conjecture, (v1_xreal_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_125, negated_conjecture, (~v2_xxreal_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_37])).
fof(c_0_126, plain, ![X1]:((v1_xxreal_0(X1)&v3_xxreal_0(X1))=>((~v8_ordinal1(X1)&v1_xxreal_0(X1))&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc5_xxreal_0])).
cnf(c_0_127, negated_conjecture, (~r1_surrealo(k1_funct_1(k6_surrealn,esk3_0),k11_surreal0)|~r1_surrealo(k11_surreal0,k3_surrealc(esk2_0))|~v2_surreal0(k1_funct_1(k6_surrealn,esk3_0))|~v2_surreal0(k3_surrealc(esk2_0))), inference(spm,[status(thm)],[c_0_116, c_0_117])).
cnf(c_0_128, plain, (r1_surrealo(k11_surreal0,k3_surrealc(X1))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_99]), c_0_119])).
cnf(c_0_129, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_130, plain, (r1_surrealo(k1_funct_1(k6_surrealn,X1),k11_surreal0)|~r1_xxreal_0(X1,k5_ordinal1)|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_121]), c_0_41])]), c_0_122])).
cnf(c_0_131, negated_conjecture, (r1_xxreal_0(esk3_0,k5_ordinal1)|v3_xxreal_0(k5_ordinal1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_124]), c_0_125])).
fof(c_0_132, plain, ![X55]:(((~v8_ordinal1(X55)|(~v1_xxreal_0(X55)|~v3_xxreal_0(X55)))&(v1_xxreal_0(X55)|(~v1_xxreal_0(X55)|~v3_xxreal_0(X55))))&(~v2_xxreal_0(X55)|(~v1_xxreal_0(X55)|~v3_xxreal_0(X55)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])])])).
cnf(c_0_133, negated_conjecture, (~r1_surrealo(k1_funct_1(k6_surrealn,esk3_0),k11_surreal0)|~v2_surreal0(k1_funct_1(k6_surrealn,esk3_0))|~v2_surreal0(k3_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_128]), c_0_129])])).
cnf(c_0_134, negated_conjecture, (r1_surrealo(k1_funct_1(k6_surrealn,esk3_0),k11_surreal0)|v3_xxreal_0(k5_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_131]), c_0_124])])).
cnf(c_0_135, plain, (~v8_ordinal1(X1)|~v1_xxreal_0(X1)|~v3_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_132])).
cnf(c_0_136, plain, (v8_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc9_ordinal1])).
cnf(c_0_137, negated_conjecture, (v3_xxreal_0(k5_ordinal1)|~v2_surreal0(k1_funct_1(k6_surrealn,esk3_0))|~v2_surreal0(k3_surrealc(esk2_0))), inference(spm,[status(thm)],[c_0_133, c_0_134])).
cnf(c_0_138, plain, (~v3_xxreal_0(k5_ordinal1)|~v1_xxreal_0(k5_ordinal1)), inference(spm,[status(thm)],[c_0_135, c_0_136])).
cnf(c_0_139, negated_conjecture, (v3_xxreal_0(k5_ordinal1)|~v2_surreal0(k1_funct_1(k6_surrealn,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137, c_0_99]), c_0_129])])).
fof(c_0_140, plain, ![X54]:(~v7_ordinal1(X54)|v1_xxreal_0(X54)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
cnf(c_0_141, negated_conjecture, (~v1_xxreal_0(k5_ordinal1)|~v2_surreal0(k1_funct_1(k6_surrealn,esk3_0))), inference(spm,[status(thm)],[c_0_138, c_0_139])).
cnf(c_0_142, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_140])).
cnf(c_0_143, negated_conjecture, (~v2_surreal0(k1_funct_1(k6_surrealn,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_142]), c_0_104])])).
cnf(c_0_144, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143, c_0_122]), c_0_124])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 145
# Proof object clause steps            : 81
# Proof object formula steps           : 64
# Proof object conjectures             : 31
# Proof object clause conjectures      : 28
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 38
# Proof object initial formulas used   : 32
# Proof object generating inferences   : 42
# Proof object simplifying inferences  : 62
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 32
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 44
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 43
# Processed clauses                    : 1806
# ...of these trivial                  : 62
# ...subsumed                          : 606
# ...remaining for further processing  : 1138
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 70
# Backward-rewritten                   : 9
# Generated clauses                    : 8577
# ...of the previous two non-trivial   : 7237
# Contextual simplify-reflections      : 38
# Paramodulations                      : 8577
# 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  : 1016
#    Positive orientable unit clauses  : 43
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 969
# Current number of unprocessed clauses: 5480
# ...number of literals in the above   : 19868
# Current number of archived formulas  : 0
# Current number of archived clauses   : 122
# Clause-clause subsumption calls (NU) : 63777
# Rec. Clause-clause subsumption calls : 35848
# Non-unit clause-clause subsumptions  : 705
# Unit Clause-clause subsumption calls : 1185
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 30
# BW rewrite match successes           : 14
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 158898

# -------------------------------------------------
# User time                : 0.133 s
# System time              : 0.023 s
# Total time               : 0.156 s
# Maximum resident set size: 3436 pages
