# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Failure: User resource limit exceeded!
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 37
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 36
# Processed clauses                    : 97998
# ...of these trivial                  : 19
# ...subsumed                          : 65741
# ...remaining for further processing  : 32238
# Other redundant clauses eliminated   : 8
# Clauses deleted for lack of memory   : 12677
# Backward-subsumed                    : 793
# Backward-rewritten                   : 58
# Generated clauses                    : 1305747
# ...of the previous two non-trivial   : 1278264
# Contextual simplify-reflections      : 3434
# Paramodulations                      : 1305738
# Factorizations                       : 2
# NegExts                              : 0
# Equation resolutions                 : 8
# Propositional unsat checks           : 6
#    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       : 8.256
#    Propositional solver time         : 1.457
#    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  : 31347
#    Positive orientable unit clauses  : 12
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 8
#    Non-unit-clauses                  : 31327
# Current number of unprocessed clauses: 685876
# ...number of literals in the above   : 9127777
# Current number of archived formulas  : 0
# Current number of archived clauses   : 888
# Clause-clause subsumption calls (NU) : 146610130
# Rec. Clause-clause subsumption calls : 2803140
# Non-unit clause-clause subsumptions  : 49376
# Unit Clause-clause subsumption calls : 156
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 168229354
# No success with AutoSched0
# Trying AutoSched1 for 71 seconds
# AutoSched1-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.023 s

# Failure: User resource limit exceeded!
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 37
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 36
# Processed clauses                    : 37483
# ...of these trivial                  : 298
# ...subsumed                          : 23758
# ...remaining for further processing  : 13427
# Other redundant clauses eliminated   : 284
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 992
# Backward-rewritten                   : 2
# Generated clauses                    : 667117
# ...of the previous two non-trivial   : 621230
# Contextual simplify-reflections      : 1775
# Paramodulations                      : 666398
# Factorizations                       : 2
# NegExts                              : 0
# Equation resolutions                 : 717
# Propositional unsat checks           : 2
#    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       : 1.163
#    Propositional solver time         : 0.127
#    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  : 12432
#    Positive orientable unit clauses  : 9
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 12417
# Current number of unprocessed clauses: 581437
# ...number of literals in the above   : 10295644
# Current number of archived formulas  : 0
# Current number of archived clauses   : 995
# Clause-clause subsumption calls (NU) : 81800908
# Rec. Clause-clause subsumption calls : 586961
# Non-unit clause-clause subsumptions  : 22932
# Unit Clause-clause subsumption calls : 188
# 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          : 60539614
# No success with AutoSched1
# Trying AutoSched2 for 23 seconds
# AutoSched2-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.025 s

# Failure: User resource limit exceeded!
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 37
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 36
# Processed clauses                    : 26900
# ...of these trivial                  : 28
# ...subsumed                          : 18508
# ...remaining for further processing  : 8364
# Other redundant clauses eliminated   : 40
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 894
# Backward-rewritten                   : 1
# Generated clauses                    : 356964
# ...of the previous two non-trivial   : 351832
# Contextual simplify-reflections      : 1279
# Paramodulations                      : 355966
# Factorizations                       : 2
# NegExts                              : 0
# Equation resolutions                 : 996
# 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  : 7468
#    Positive orientable unit clauses  : 9
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 7453
# Current number of unprocessed clauses: 321650
# ...number of literals in the above   : 3946366
# Current number of archived formulas  : 0
# Current number of archived clauses   : 896
# Clause-clause subsumption calls (NU) : 40814748
# Rec. Clause-clause subsumption calls : 391022
# Non-unit clause-clause subsumptions  : 18066
# Unit Clause-clause subsumption calls : 155
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 16342078
# No success with AutoSched2
# Trying AutoSched3 for 19 seconds
# AutoSched3-Mode selected heuristic G_E___042_C45_F1_PI_AE_Q4_CS_SP_PS_S4S
# and selection function SelectNewComplexAHPNS.
#
# Preprocessing time       : 0.024 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t29_ordinal1, axiom, ![X1]:(v3_ordinal1(X1)=>(~((~(v4_ordinal1(X1))&![X2]:(v3_ordinal1(X2)=>X1!=k1_ordinal1(X2))))&~((?[X2]:(v3_ordinal1(X2)&X1=k1_ordinal1(X2))&v4_ordinal1(X1))))), file('surrealn/surrealn__t67_surrealn', t29_ordinal1)).
fof(t7_boole, axiom, ![X1, X2]:~((r2_tarski(X1,X2)&v1_xboole_0(X2))), file('surrealn/surrealn__t67_surrealn', t7_boole)).
fof(d20_surreal0, axiom, ![X1, X2]:(r7_surreal0(X1,X2)<=>![X3]:(v2_surreal0(X3)=>![X4]:(v2_surreal0(X4)=>~(((r2_tarski(X3,X1)&r2_tarski(X4,X2))&r5_surreal0(X4,X3)))))), file('surrealn/surrealn__t67_surrealn', d20_surreal0)).
fof(t6_ordinal1, axiom, ![X1]:r2_tarski(X1,k1_ordinal1(X1)), file('surrealn/surrealn__t67_surrealn', t6_ordinal1)).
fof(d1_ordinal1, axiom, ![X1]:k1_ordinal1(X1)=k2_xboole_0(X1,k1_tarski(X1)), file('surrealn/surrealn__t67_surrealn', d1_ordinal1)).
fof(t67_surrealn, conjecture, ![X1]:(v3_ordinal1(X1)=>r2_tarski(k8_surrealn(X1),k10_surreal0(X1))), file('surrealn/surrealn__t67_surrealn', t67_surrealn)).
fof(s2_ordinal1__e2_119__surrealn, axiom, (![X1]:(v3_ordinal1(X1)=>(![X2]:(v3_ordinal1(X2)=>(r2_tarski(X2,X1)=>r2_tarski(k8_surrealn(X2),k10_surreal0(X2))))=>r2_tarski(k8_surrealn(X1),k10_surreal0(X1))))=>![X1]:(v3_ordinal1(X1)=>r2_tarski(k8_surrealn(X1),k10_surreal0(X1)))), file('surrealn/surrealn__t67_surrealn', s2_ordinal1__e2_119__surrealn)).
fof(d1_tarski, axiom, ![X1, X2]:(X2=k1_tarski(X1)<=>![X3]:(r2_hidden(X3,X2)<=>X3=X1)), file('surrealn/surrealn__t67_surrealn', d1_tarski)).
fof(t46_surreal0, axiom, ![X1, X2, X3]:(v3_ordinal1(X3)=>(r2_hidden(k4_tarski(X1,X2),k10_surreal0(X3))<=>(r7_surreal0(X1,X2)&![X4]:~((r2_hidden(X4,k2_xboole_0(X1,X2))&![X5]:(v3_ordinal1(X5)=>~((r2_tarski(X5,X3)&r2_hidden(X4,k10_surreal0(X5)))))))))), file('surrealn/surrealn__t67_surrealn', t46_surreal0)).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0), file('surrealn/surrealn__t67_surrealn', fc1_xboole_0)).
fof(t1_boole, axiom, ![X1]:k2_xboole_0(X1,k1_xboole_0)=X1, file('surrealn/surrealn__t67_surrealn', t1_boole)).
fof(t65_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>k8_surrealn(k1_ordinal1(X1))=k4_tarski(k1_tarski(k8_surrealn(X1)),k1_xboole_0)), file('surrealn/surrealn__t67_surrealn', t65_surrealn)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('surrealn/surrealn__t67_surrealn', redefinition_r2_tarski)).
fof(t66_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>~((v4_ordinal1(X1)&![X2]:~((k8_surrealn(X1)=k4_tarski(X2,k1_xboole_0)&![X3]:(r2_hidden(X3,X2)<=>?[X4]:((v3_ordinal1(X4)&r2_tarski(X4,X1))&X3=k8_surrealn(X4)))))))), file('surrealn/surrealn__t67_surrealn', t66_surrealn)).
fof(c_0_14, plain, ![X1]:(v3_ordinal1(X1)=>(~((~v4_ordinal1(X1)&![X2]:(v3_ordinal1(X2)=>X1!=k1_ordinal1(X2))))&~((?[X2]:(v3_ordinal1(X2)&X1=k1_ordinal1(X2))&v4_ordinal1(X1))))), inference(fof_simplification,[status(thm)],[t29_ordinal1])).
fof(c_0_15, plain, ![X78, X79]:(~r2_tarski(X78,X79)|~v1_xboole_0(X79)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])).
fof(c_0_16, plain, ![X46, X47, X48, X49, X50, X51]:((~r7_surreal0(X46,X47)|(~v2_surreal0(X48)|(~v2_surreal0(X49)|(~r2_tarski(X48,X46)|~r2_tarski(X49,X47)|~r5_surreal0(X49,X48)))))&((v2_surreal0(esk3_2(X50,X51))|r7_surreal0(X50,X51))&((v2_surreal0(esk4_2(X50,X51))|r7_surreal0(X50,X51))&(((r2_tarski(esk3_2(X50,X51),X50)|r7_surreal0(X50,X51))&(r2_tarski(esk4_2(X50,X51),X51)|r7_surreal0(X50,X51)))&(r5_surreal0(esk4_2(X50,X51),esk3_2(X50,X51))|r7_surreal0(X50,X51)))))), 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)],[d20_surreal0])])])])])])).
fof(c_0_17, plain, ![X77]:r2_tarski(X77,k1_ordinal1(X77)), inference(variable_rename,[status(thm)],[t6_ordinal1])).
fof(c_0_18, plain, ![X38]:k1_ordinal1(X38)=k2_xboole_0(X38,k1_tarski(X38)), inference(variable_rename,[status(thm)],[d1_ordinal1])).
fof(c_0_19, plain, ![X60, X62]:(((v3_ordinal1(esk6_1(X60))|v4_ordinal1(X60)|~v3_ordinal1(X60))&(X60=k1_ordinal1(esk6_1(X60))|v4_ordinal1(X60)|~v3_ordinal1(X60)))&(~v3_ordinal1(X62)|X60!=k1_ordinal1(X62)|~v4_ordinal1(X60)|~v3_ordinal1(X60))), 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_14])])])])])).
fof(c_0_20, negated_conjecture, ~(![X1]:(v3_ordinal1(X1)=>r2_tarski(k8_surrealn(X1),k10_surreal0(X1)))), inference(assume_negation,[status(cth)],[t67_surrealn])).
cnf(c_0_21, plain, (~r2_tarski(X1,X2)|~v1_xboole_0(X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_22, plain, (r2_tarski(esk4_2(X1,X2),X2)|r7_surreal0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_23, plain, (r2_tarski(X1,k1_ordinal1(X1))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_24, plain, (k1_ordinal1(X1)=k2_xboole_0(X1,k1_tarski(X1))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, plain, (X1=k1_ordinal1(esk6_1(X1))|v4_ordinal1(X1)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_26, negated_conjecture, (v3_ordinal1(esk1_0)&~r2_tarski(k8_surrealn(esk1_0),k10_surreal0(esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])).
fof(c_0_27, plain, ![X57, X58]:((v3_ordinal1(esk5_0)|(~v3_ordinal1(X58)|r2_tarski(k8_surrealn(X58),k10_surreal0(X58))))&((~v3_ordinal1(X57)|(~r2_tarski(X57,esk5_0)|r2_tarski(k8_surrealn(X57),k10_surreal0(X57)))|(~v3_ordinal1(X58)|r2_tarski(k8_surrealn(X58),k10_surreal0(X58))))&(~r2_tarski(k8_surrealn(esk5_0),k10_surreal0(esk5_0))|(~v3_ordinal1(X58)|r2_tarski(k8_surrealn(X58),k10_surreal0(X58)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s2_ordinal1__e2_119__surrealn])])])])])).
fof(c_0_28, plain, ![X39, X40, X41, X42, X43, X44]:(((~r2_hidden(X41,X40)|X41=X39|X40!=k1_tarski(X39))&(X42!=X39|r2_hidden(X42,X40)|X40!=k1_tarski(X39)))&((~r2_hidden(esk2_2(X43,X44),X44)|esk2_2(X43,X44)!=X43|X44=k1_tarski(X43))&(r2_hidden(esk2_2(X43,X44),X44)|esk2_2(X43,X44)=X43|X44=k1_tarski(X43)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tarski])])])])])])).
fof(c_0_29, plain, ![X63, X64, X65, X66, X69]:(((r7_surreal0(X63,X64)|~r2_hidden(k4_tarski(X63,X64),k10_surreal0(X65))|~v3_ordinal1(X65))&((v3_ordinal1(esk7_4(X63,X64,X65,X66))|~r2_hidden(X66,k2_xboole_0(X63,X64))|~r2_hidden(k4_tarski(X63,X64),k10_surreal0(X65))|~v3_ordinal1(X65))&((r2_tarski(esk7_4(X63,X64,X65,X66),X65)|~r2_hidden(X66,k2_xboole_0(X63,X64))|~r2_hidden(k4_tarski(X63,X64),k10_surreal0(X65))|~v3_ordinal1(X65))&(r2_hidden(X66,k10_surreal0(esk7_4(X63,X64,X65,X66)))|~r2_hidden(X66,k2_xboole_0(X63,X64))|~r2_hidden(k4_tarski(X63,X64),k10_surreal0(X65))|~v3_ordinal1(X65)))))&((r2_hidden(esk8_3(X63,X64,X65),k2_xboole_0(X63,X64))|~r7_surreal0(X63,X64)|r2_hidden(k4_tarski(X63,X64),k10_surreal0(X65))|~v3_ordinal1(X65))&(~v3_ordinal1(X69)|(~r2_tarski(X69,X65)|~r2_hidden(esk8_3(X63,X64,X65),k10_surreal0(X69)))|~r7_surreal0(X63,X64)|r2_hidden(k4_tarski(X63,X64),k10_surreal0(X65))|~v3_ordinal1(X65)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_surreal0])])])])])).
cnf(c_0_30, plain, (r7_surreal0(X1,X2)|~v1_xboole_0(X2)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_31, plain, (v1_xboole_0(k1_xboole_0)), inference(split_conjunct,[status(thm)],[fc1_xboole_0])).
fof(c_0_32, plain, ![X59]:k2_xboole_0(X59,k1_xboole_0)=X59, inference(variable_rename,[status(thm)],[t1_boole])).
cnf(c_0_33, plain, (r2_tarski(X1,k2_xboole_0(X1,k1_tarski(X1)))), inference(rw,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_34, plain, (X1=k2_xboole_0(esk6_1(X1),k1_tarski(esk6_1(X1)))|v4_ordinal1(X1)|~v3_ordinal1(X1)), inference(rw,[status(thm)],[c_0_25, c_0_24])).
cnf(c_0_35, negated_conjecture, (~r2_tarski(k8_surrealn(esk1_0),k10_surreal0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_36, plain, (v3_ordinal1(esk5_0)|r2_tarski(k8_surrealn(X1),k10_surreal0(X1))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_37, negated_conjecture, (v3_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_38, plain, (X1=X3|~r2_hidden(X1,X2)|X2!=k1_tarski(X3)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_39, plain, (r2_hidden(esk8_3(X1,X2,X3),k2_xboole_0(X1,X2))|r2_hidden(k4_tarski(X1,X2),k10_surreal0(X3))|~r7_surreal0(X1,X2)|~v3_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_40, plain, (r7_surreal0(X1,k1_xboole_0)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_41, plain, (k2_xboole_0(X1,k1_xboole_0)=X1), inference(split_conjunct,[status(thm)],[c_0_32])).
fof(c_0_42, plain, ![X70]:(~v3_ordinal1(X70)|k8_surrealn(k1_ordinal1(X70))=k4_tarski(k1_tarski(k8_surrealn(X70)),k1_xboole_0)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t65_surrealn])])).
cnf(c_0_43, plain, (r2_tarski(k8_surrealn(X1),k10_surreal0(X1))|r2_tarski(k8_surrealn(X2),k10_surreal0(X2))|~v3_ordinal1(X1)|~r2_tarski(X1,esk5_0)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_44, plain, (v4_ordinal1(X1)|r2_tarski(esk6_1(X1),X1)|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_45, negated_conjecture, (v3_ordinal1(esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37])])).
fof(c_0_46, plain, ![X54, X55]:((~r2_tarski(X54,X55)|r2_hidden(X54,X55))&(~r2_hidden(X54,X55)|r2_tarski(X54,X55))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_47, plain, (X1=X2|~r2_hidden(X1,k1_tarski(X2))), inference(er,[status(thm)],[c_0_38])).
cnf(c_0_48, plain, (r2_hidden(k4_tarski(X1,k1_xboole_0),k10_surreal0(X2))|r2_hidden(esk8_3(X1,k1_xboole_0,X2),X1)|~v3_ordinal1(X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])).
cnf(c_0_49, plain, (k8_surrealn(k1_ordinal1(X1))=k4_tarski(k1_tarski(k8_surrealn(X1)),k1_xboole_0)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_50, plain, (v4_ordinal1(esk5_0)|r2_tarski(k8_surrealn(esk6_1(esk5_0)),k10_surreal0(esk6_1(esk5_0)))|r2_tarski(k8_surrealn(X1),k10_surreal0(X1))|~v3_ordinal1(esk6_1(esk5_0))|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45])])).
cnf(c_0_51, plain, (v3_ordinal1(esk6_1(X1))|v4_ordinal1(X1)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_52, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_53, plain, (esk8_3(k1_tarski(X1),k1_xboole_0,X2)=X1|r2_hidden(k4_tarski(k1_tarski(X1),k1_xboole_0),k10_surreal0(X2))|~v3_ordinal1(X2)), inference(spm,[status(thm)],[c_0_47, c_0_48])).
cnf(c_0_54, plain, (k8_surrealn(k2_xboole_0(X1,k1_tarski(X1)))=k4_tarski(k1_tarski(k8_surrealn(X1)),k1_xboole_0)|~v3_ordinal1(X1)), inference(rw,[status(thm)],[c_0_49, c_0_24])).
cnf(c_0_55, plain, (v4_ordinal1(esk5_0)|r2_tarski(k8_surrealn(esk6_1(esk5_0)),k10_surreal0(esk6_1(esk5_0)))|r2_tarski(k8_surrealn(X1),k10_surreal0(X1))|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_45])])).
cnf(c_0_56, plain, (esk8_3(k1_tarski(X1),k1_xboole_0,X2)=X1|r2_tarski(k4_tarski(k1_tarski(X1),k1_xboole_0),k10_surreal0(X2))|~v3_ordinal1(X2)), inference(spm,[status(thm)],[c_0_52, c_0_53])).
cnf(c_0_57, plain, (k4_tarski(k1_tarski(k8_surrealn(esk6_1(X1))),k1_xboole_0)=k8_surrealn(X1)|v4_ordinal1(X1)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_34]), c_0_51])).
cnf(c_0_58, plain, (v4_ordinal1(esk5_0)|r2_tarski(k8_surrealn(esk6_1(esk5_0)),k10_surreal0(esk6_1(esk5_0)))|~v3_ordinal1(esk6_1(esk5_0))), inference(ef,[status(thm)],[c_0_55])).
cnf(c_0_59, plain, (r2_hidden(k4_tarski(X3,X4),k10_surreal0(X2))|~v3_ordinal1(X1)|~r2_tarski(X1,X2)|~r2_hidden(esk8_3(X3,X4,X2),k10_surreal0(X1))|~r7_surreal0(X3,X4)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_60, plain, (esk8_3(k1_tarski(k8_surrealn(esk6_1(X1))),k1_xboole_0,X2)=k8_surrealn(esk6_1(X1))|v4_ordinal1(X1)|r2_tarski(k8_surrealn(X1),k10_surreal0(X2))|~v3_ordinal1(X2)|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_56, c_0_57])).
cnf(c_0_61, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_62, plain, (v4_ordinal1(esk5_0)|r2_tarski(k8_surrealn(esk6_1(esk5_0)),k10_surreal0(esk6_1(esk5_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_51]), c_0_45])])).
cnf(c_0_63, plain, (v4_ordinal1(X1)|r2_hidden(k4_tarski(k1_tarski(k8_surrealn(esk6_1(X1))),k1_xboole_0),k10_surreal0(X2))|r2_tarski(k8_surrealn(X1),k10_surreal0(X2))|~r2_hidden(k8_surrealn(esk6_1(X1)),k10_surreal0(X3))|~r2_tarski(X3,X2)|~v3_ordinal1(X2)|~v3_ordinal1(X3)|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_40])])).
cnf(c_0_64, plain, (v4_ordinal1(esk5_0)|r2_hidden(k8_surrealn(esk6_1(esk5_0)),k10_surreal0(esk6_1(esk5_0)))), inference(spm,[status(thm)],[c_0_61, c_0_62])).
cnf(c_0_65, plain, (v4_ordinal1(esk5_0)|r2_hidden(k4_tarski(k1_tarski(k8_surrealn(esk6_1(esk5_0))),k1_xboole_0),k10_surreal0(X1))|r2_tarski(k8_surrealn(esk5_0),k10_surreal0(X1))|~r2_tarski(esk6_1(esk5_0),X1)|~v3_ordinal1(esk6_1(esk5_0))|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_45])])).
cnf(c_0_66, plain, (v4_ordinal1(esk5_0)|r2_hidden(k4_tarski(k1_tarski(k8_surrealn(esk6_1(esk5_0))),k1_xboole_0),k10_surreal0(X1))|r2_tarski(k8_surrealn(esk5_0),k10_surreal0(X1))|~r2_tarski(esk6_1(esk5_0),X1)|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_51]), c_0_45])])).
cnf(c_0_67, plain, (v4_ordinal1(esk5_0)|r2_hidden(k4_tarski(k1_tarski(k8_surrealn(esk6_1(esk5_0))),k1_xboole_0),k10_surreal0(esk5_0))|r2_tarski(k8_surrealn(esk5_0),k10_surreal0(esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_44]), c_0_45])])).
cnf(c_0_68, plain, (v4_ordinal1(esk5_0)|r2_hidden(k8_surrealn(esk5_0),k10_surreal0(esk5_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_57]), c_0_45])]), c_0_61])).
fof(c_0_69, plain, ![X71, X73, X75, X76]:((k8_surrealn(X71)=k4_tarski(esk9_1(X71),k1_xboole_0)|~v4_ordinal1(X71)|~v3_ordinal1(X71))&((((v3_ordinal1(esk10_2(X71,X73))|~r2_hidden(X73,esk9_1(X71))|~v4_ordinal1(X71)|~v3_ordinal1(X71))&(r2_tarski(esk10_2(X71,X73),X71)|~r2_hidden(X73,esk9_1(X71))|~v4_ordinal1(X71)|~v3_ordinal1(X71)))&(X73=k8_surrealn(esk10_2(X71,X73))|~r2_hidden(X73,esk9_1(X71))|~v4_ordinal1(X71)|~v3_ordinal1(X71)))&(~v3_ordinal1(X76)|~r2_tarski(X76,X71)|X75!=k8_surrealn(X76)|r2_hidden(X75,esk9_1(X71))|~v4_ordinal1(X71)|~v3_ordinal1(X71)))), 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)],[t66_surrealn])])])])])])).
cnf(c_0_70, plain, (r2_tarski(k8_surrealn(X1),k10_surreal0(X1))|~r2_tarski(k8_surrealn(esk5_0),k10_surreal0(esk5_0))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_71, plain, (v4_ordinal1(esk5_0)|r2_tarski(k8_surrealn(esk5_0),k10_surreal0(esk5_0))), inference(spm,[status(thm)],[c_0_52, c_0_68])).
cnf(c_0_72, plain, (r2_tarski(esk10_2(X1,X2),X1)|~r2_hidden(X2,esk9_1(X1))|~v4_ordinal1(X1)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_73, plain, (v4_ordinal1(esk5_0)|r2_tarski(k8_surrealn(X1),k10_surreal0(X1))|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_70, c_0_71])).
cnf(c_0_74, plain, (r2_hidden(k4_tarski(esk9_1(X1),k1_xboole_0),k10_surreal0(X2))|r2_tarski(esk10_2(X1,esk8_3(esk9_1(X1),k1_xboole_0,X2)),X1)|~v4_ordinal1(X1)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(spm,[status(thm)],[c_0_72, c_0_48])).
cnf(c_0_75, negated_conjecture, (v4_ordinal1(esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_73]), c_0_37])])).
cnf(c_0_76, plain, (v3_ordinal1(esk10_2(X1,X2))|~r2_hidden(X2,esk9_1(X1))|~v4_ordinal1(X1)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_77, plain, (r2_hidden(k4_tarski(esk9_1(esk5_0),k1_xboole_0),k10_surreal0(X1))|r2_tarski(k8_surrealn(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1))),k10_surreal0(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1))))|r2_tarski(k8_surrealn(X2),k10_surreal0(X2))|~v3_ordinal1(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1)))|~v3_ordinal1(X2)|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_74]), c_0_45])]), c_0_75])])).
cnf(c_0_78, plain, (r2_hidden(k4_tarski(esk9_1(X1),k1_xboole_0),k10_surreal0(X2))|v3_ordinal1(esk10_2(X1,esk8_3(esk9_1(X1),k1_xboole_0,X2)))|~v4_ordinal1(X1)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(spm,[status(thm)],[c_0_76, c_0_48])).
cnf(c_0_79, plain, (r2_hidden(k4_tarski(esk9_1(esk5_0),k1_xboole_0),k10_surreal0(X1))|r2_tarski(k8_surrealn(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1))),k10_surreal0(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1))))|r2_tarski(k8_surrealn(X2),k10_surreal0(X2))|~v3_ordinal1(X2)|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_75]), c_0_45])])).
cnf(c_0_80, plain, (r2_hidden(k4_tarski(esk9_1(esk5_0),k1_xboole_0),k10_surreal0(X1))|r2_tarski(k8_surrealn(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1))),k10_surreal0(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1))))|~v3_ordinal1(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1)))|~v3_ordinal1(X1)), inference(ef,[status(thm)],[c_0_79])).
cnf(c_0_81, plain, (X1=k8_surrealn(esk10_2(X2,X1))|~r2_hidden(X1,esk9_1(X2))|~v4_ordinal1(X2)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_82, plain, (r2_hidden(k4_tarski(esk9_1(esk5_0),k1_xboole_0),k10_surreal0(X1))|r2_tarski(k8_surrealn(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1))),k10_surreal0(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1))))|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_78]), c_0_75]), c_0_45])])).
cnf(c_0_83, plain, (k8_surrealn(esk10_2(X1,esk8_3(esk9_1(X1),k1_xboole_0,X2)))=esk8_3(esk9_1(X1),k1_xboole_0,X2)|r2_hidden(k4_tarski(esk9_1(X1),k1_xboole_0),k10_surreal0(X2))|~v4_ordinal1(X1)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(spm,[status(thm)],[c_0_81, c_0_48])).
cnf(c_0_84, plain, (r2_hidden(k4_tarski(esk9_1(esk5_0),k1_xboole_0),k10_surreal0(X1))|r2_tarski(esk8_3(esk9_1(esk5_0),k1_xboole_0,X1),k10_surreal0(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1))))|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_75]), c_0_45])])).
cnf(c_0_85, plain, (r2_hidden(esk8_3(esk9_1(esk5_0),k1_xboole_0,X1),k10_surreal0(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1))))|r2_hidden(k4_tarski(esk9_1(esk5_0),k1_xboole_0),k10_surreal0(X1))|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_61, c_0_84])).
cnf(c_0_86, plain, (r2_hidden(k4_tarski(esk9_1(esk5_0),k1_xboole_0),k10_surreal0(X1))|~r2_tarski(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1)),X1)|~v3_ordinal1(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1)))|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_85]), c_0_40])])).
cnf(c_0_87, plain, (r2_hidden(k4_tarski(esk9_1(esk5_0),k1_xboole_0),k10_surreal0(X1))|~r2_tarski(esk10_2(esk5_0,esk8_3(esk9_1(esk5_0),k1_xboole_0,X1)),X1)|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_78]), c_0_75]), c_0_45])])).
cnf(c_0_88, plain, (r2_hidden(k4_tarski(esk9_1(esk5_0),k1_xboole_0),k10_surreal0(esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_74]), c_0_45]), c_0_75])])).
cnf(c_0_89, plain, (k8_surrealn(X1)=k4_tarski(esk9_1(X1),k1_xboole_0)|~v4_ordinal1(X1)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_90, plain, (r2_hidden(k8_surrealn(esk5_0),k10_surreal0(esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_75]), c_0_45])])).
cnf(c_0_91, plain, (r2_tarski(k8_surrealn(esk5_0),k10_surreal0(esk5_0))), inference(spm,[status(thm)],[c_0_52, c_0_90])).
cnf(c_0_92, plain, (r2_tarski(k8_surrealn(X1),k10_surreal0(X1))|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70, c_0_91])])).
cnf(c_0_93, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_92]), c_0_37])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 94
# Proof object clause steps            : 65
# Proof object formula steps           : 29
# Proof object conjectures             : 8
# Proof object clause conjectures      : 5
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 23
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 38
# Proof object simplifying inferences  : 54
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 37
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 36
# Processed clauses                    : 20755
# ...of these trivial                  : 10
# ...subsumed                          : 14267
# ...remaining for further processing  : 6478
# Other redundant clauses eliminated   : 5
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 65
# Backward-rewritten                   : 34
# Generated clauses                    : 218873
# ...of the previous two non-trivial   : 216925
# Contextual simplify-reflections      : 608
# Paramodulations                      : 218836
# Factorizations                       : 14
# NegExts                              : 0
# Equation resolutions                 : 20
# 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  : 6341
#    Positive orientable unit clauses  : 15
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 6320
# Current number of unprocessed clauses: 195641
# ...number of literals in the above   : 1832937
# Current number of archived formulas  : 0
# Current number of archived clauses   : 136
# Clause-clause subsumption calls (NU) : 6442626
# Rec. Clause-clause subsumption calls : 222221
# Non-unit clause-clause subsumptions  : 14305
# Unit Clause-clause subsumption calls : 2025
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 5
# BW rewrite match successes           : 4
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 11424629

# -------------------------------------------------
# User time                : 257.165 s
# System time              : 3.251 s
# Total time               : 260.416 s
# Maximum resident set size: 3488 pages
