# 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       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d3_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r2_surrealc(X1,X2)<=>![X3]:((v1_xreal_0(X3)&v2_xxreal_0(X3))=>~(r5_surreal0(X2,k16_surrealr(X1,k1_funct_1(k6_surrealn,X3)))))))), file('surrealc/surrealc__t14_surrealc', d3_surrealc)).
fof(t14_surrealc, conjecture, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>((r2_surrealc(X1,X2)&r2_surrealc(X2,X3))=>r2_surrealc(X1,X3))))), file('surrealc/surrealc__t14_surrealc', t14_surrealc)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('surrealc/surrealc__t14_surrealc', cc8_ordinal1)).
fof(connectedness_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)|r1_surrealo(X2,X1))), file('surrealc/surrealc__t14_surrealc', connectedness_r1_surrealo)).
fof(t4_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>((r5_surreal0(X1,X2)&r5_surreal0(X2,X3))=>r5_surreal0(X1,X3))))), file('surrealc/surrealc__t14_surrealc', t4_surrealo)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('surrealc/surrealc__t14_surrealc', cc2_xreal_0)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('surrealc/surrealc__t14_surrealc', spc1_numerals)).
fof(fc8_surrealr, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>v2_surreal0(k14_surrealr(X1,X2))), file('surrealc/surrealc__t14_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__t14_surrealc', redefinition_k16_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__t14_surrealc', redefinition_r1_surrealo)).
fof(t48_surrealn, axiom, k1_funct_1(k6_surrealn,np__1)=k1_surrealo, file('surrealc/surrealc__t14_surrealc', t48_surrealn)).
fof(rd5_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>k16_surrealr(X1,k1_surrealo)=X1), file('surrealc/surrealc__t14_surrealc', rd5_surrealr)).
fof(fc13_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>v2_surreal0(k1_funct_1(k6_surrealn,X1))), file('surrealc/surrealc__t14_surrealc', fc13_surrealn)).
fof(c_0_13, plain, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r2_surrealc(X1,X2)<=>![X3]:((v1_xreal_0(X3)&v2_xxreal_0(X3))=>~r5_surreal0(X2,k16_surrealr(X1,k1_funct_1(k6_surrealn,X3))))))), inference(fof_simplification,[status(thm)],[d3_surrealc])).
fof(c_0_14, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>((r2_surrealc(X1,X2)&r2_surrealc(X2,X3))=>r2_surrealc(X1,X3)))))), inference(assume_negation,[status(cth)],[t14_surrealc])).
fof(c_0_15, plain, ![X32, X33, X34]:((~r2_surrealc(X32,X33)|(~v1_xreal_0(X34)|~v2_xxreal_0(X34)|~r5_surreal0(X33,k16_surrealr(X32,k1_funct_1(k6_surrealn,X34))))|~v2_surreal0(X33)|~v2_surreal0(X32))&(((v1_xreal_0(esk4_2(X32,X33))|r2_surrealc(X32,X33)|~v2_surreal0(X33)|~v2_surreal0(X32))&(v2_xxreal_0(esk4_2(X32,X33))|r2_surrealc(X32,X33)|~v2_surreal0(X33)|~v2_surreal0(X32)))&(r5_surreal0(X33,k16_surrealr(X32,k1_funct_1(k6_surrealn,esk4_2(X32,X33))))|r2_surrealc(X32,X33)|~v2_surreal0(X33)|~v2_surreal0(X32)))), 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_13])])])])])).
fof(c_0_16, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreal0(esk2_0)&(v2_surreal0(esk3_0)&((r2_surrealc(esk1_0,esk2_0)&r2_surrealc(esk2_0,esk3_0))&~r2_surrealc(esk1_0,esk3_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
cnf(c_0_17, plain, (r5_surreal0(X1,k16_surrealr(X2,k1_funct_1(k6_surrealn,esk4_2(X2,X1))))|r2_surrealc(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_18, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_19, plain, ![X29]:(~m1_subset_1(X29,k4_ordinal1)|v7_ordinal1(X29)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_20, plain, ![X30, X31]:(~v2_surreal0(X30)|~v2_surreal0(X31)|(r1_surrealo(X30,X31)|r1_surrealo(X31,X30))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_r1_surrealo])])).
fof(c_0_21, plain, ![X44, X45, X46]:(~v2_surreal0(X44)|(~v2_surreal0(X45)|(~v2_surreal0(X46)|(~r5_surreal0(X44,X45)|~r5_surreal0(X45,X46)|r5_surreal0(X44,X46))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_surrealo])])])).
cnf(c_0_22, negated_conjecture, (r5_surreal0(X1,k16_surrealr(esk1_0,k1_funct_1(k6_surrealn,esk4_2(esk1_0,X1))))|r2_surrealc(esk1_0,X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_23, negated_conjecture, (v2_surreal0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_24, negated_conjecture, (~r2_surrealc(esk1_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_25, plain, (v2_xxreal_0(esk4_2(X1,X2))|r2_surrealc(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_26, plain, (v1_xreal_0(esk4_2(X1,X2))|r2_surrealc(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
fof(c_0_27, plain, ![X28]:(~v7_ordinal1(X28)|v1_xreal_0(X28)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
cnf(c_0_28, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_29, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_30, plain, (r1_surrealo(X1,X2)|r1_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_31, plain, (r5_surreal0(X1,X3)|~v2_surreal0(X1)|~v2_surreal0(X2)|~v2_surreal0(X3)|~r5_surreal0(X1,X2)|~r5_surreal0(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_32, negated_conjecture, (r5_surreal0(esk3_0,k16_surrealr(esk1_0,k1_funct_1(k6_surrealn,esk4_2(esk1_0,esk3_0))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])).
cnf(c_0_33, negated_conjecture, (v2_xxreal_0(esk4_2(X1,esk3_0))|r2_surrealc(X1,esk3_0)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_25, c_0_23])).
cnf(c_0_34, negated_conjecture, (v1_xreal_0(esk4_2(X1,esk3_0))|r2_surrealc(X1,esk3_0)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_26, c_0_23])).
fof(c_0_35, plain, ![X37, X38]:(~v2_surreal0(X37)|~v2_surreal0(X38)|v2_surreal0(k14_surrealr(X37,X38))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_surrealr])])).
fof(c_0_36, plain, ![X40, X41]:(~v2_surreal0(X40)|~v2_surreal0(X41)|k16_surrealr(X40,X41)=k14_surrealr(X40,X41)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k16_surrealr])])).
cnf(c_0_37, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_38, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
fof(c_0_39, plain, ![X42, X43]:((~r1_surrealo(X42,X43)|r5_surreal0(X42,X43)|(~v2_surreal0(X42)|~v2_surreal0(X43)))&(~r5_surreal0(X42,X43)|r1_surrealo(X42,X43)|(~v2_surreal0(X42)|~v2_surreal0(X43)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
cnf(c_0_40, negated_conjecture, (r1_surrealo(X1,esk3_0)|r1_surrealo(esk3_0,X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_30, c_0_23])).
cnf(c_0_41, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_42, plain, (~r2_surrealc(X1,X2)|~v1_xreal_0(X3)|~v2_xxreal_0(X3)|~r5_surreal0(X2,k16_surrealr(X1,k1_funct_1(k6_surrealn,X3)))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_43, negated_conjecture, (r5_surreal0(X1,k16_surrealr(esk1_0,k1_funct_1(k6_surrealn,esk4_2(esk1_0,esk3_0))))|~r5_surreal0(X1,esk3_0)|~v2_surreal0(k16_surrealr(esk1_0,k1_funct_1(k6_surrealn,esk4_2(esk1_0,esk3_0))))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_23])])).
cnf(c_0_44, negated_conjecture, (v2_xxreal_0(esk4_2(esk1_0,esk3_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_18]), c_0_24])).
cnf(c_0_45, negated_conjecture, (v1_xreal_0(esk4_2(esk1_0,esk3_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_18]), c_0_24])).
cnf(c_0_46, plain, (v2_surreal0(k14_surrealr(X1,X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_35])).
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_36])).
cnf(c_0_48, plain, (k1_funct_1(k6_surrealn,np__1)=k1_surrealo), inference(split_conjunct,[status(thm)],[t48_surrealn])).
cnf(c_0_49, plain, (v2_xxreal_0(np__1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_50, plain, (v1_xreal_0(np__1)), inference(spm,[status(thm)],[c_0_37, c_0_38])).
fof(c_0_51, plain, ![X39]:(~v2_surreal0(X39)|k16_surrealr(X39,k1_surrealo)=X39), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd5_surrealr])])).
cnf(c_0_52, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_53, negated_conjecture, (r1_surrealo(esk3_0,esk2_0)|r1_surrealo(esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_40, c_0_41])).
cnf(c_0_54, negated_conjecture, (~r5_surreal0(X1,esk3_0)|~r2_surrealc(esk1_0,X1)|~v2_surreal0(k16_surrealr(esk1_0,k1_funct_1(k6_surrealn,esk4_2(esk1_0,esk3_0))))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44]), c_0_45]), c_0_18])])).
cnf(c_0_55, plain, (v2_surreal0(k16_surrealr(X1,X2))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_46, c_0_47])).
fof(c_0_56, plain, ![X36]:(~v1_xreal_0(X36)|v2_surreal0(k1_funct_1(k6_surrealn,X36))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_surrealn])])).
cnf(c_0_57, plain, (~r5_surreal0(X1,k16_surrealr(X2,k1_surrealo))|~r2_surrealc(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_48]), c_0_49]), c_0_50])])).
cnf(c_0_58, plain, (k16_surrealr(X1,k1_surrealo)=X1|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_59, negated_conjecture, (r5_surreal0(esk3_0,esk2_0)|r1_surrealo(esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_41]), c_0_23])])).
cnf(c_0_60, negated_conjecture, (~r5_surreal0(X1,esk3_0)|~r2_surrealc(esk1_0,X1)|~v2_surreal0(k1_funct_1(k6_surrealn,esk4_2(esk1_0,esk3_0)))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_18])])).
cnf(c_0_61, plain, (v2_surreal0(k1_funct_1(k6_surrealn,X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_62, plain, (~r5_surreal0(X1,X2)|~r2_surrealc(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_57, c_0_58])).
cnf(c_0_63, negated_conjecture, (r5_surreal0(esk3_0,esk2_0)|r5_surreal0(esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_59]), c_0_23]), c_0_41])])).
cnf(c_0_64, negated_conjecture, (r2_surrealc(esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_65, negated_conjecture, (~r5_surreal0(X1,esk3_0)|~r2_surrealc(esk1_0,X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_45])])).
cnf(c_0_66, negated_conjecture, (r5_surreal0(esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_64]), c_0_23]), c_0_41])])).
cnf(c_0_67, negated_conjecture, (r2_surrealc(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_68, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_67]), c_0_41])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 69
# Proof object clause steps            : 43
# Proof object formula steps           : 26
# Proof object conjectures             : 25
# Proof object clause conjectures      : 22
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 22
# Proof object initial formulas used   : 13
# Proof object generating inferences   : 21
# Proof object simplifying inferences  : 29
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 13
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 23
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 23
# Processed clauses                    : 1804
# ...of these trivial                  : 0
# ...subsumed                          : 599
# ...remaining for further processing  : 1205
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 137
# Backward-rewritten                   : 1
# Generated clauses                    : 4164
# ...of the previous two non-trivial   : 3998
# Contextual simplify-reflections      : 0
# Paramodulations                      : 4164
# 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  : 1044
#    Positive orientable unit clauses  : 45
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 8
#    Non-unit-clauses                  : 991
# Current number of unprocessed clauses: 2134
# ...number of literals in the above   : 8079
# Current number of archived formulas  : 0
# Current number of archived clauses   : 161
# Clause-clause subsumption calls (NU) : 124024
# Rec. Clause-clause subsumption calls : 17449
# Non-unit clause-clause subsumptions  : 612
# Unit Clause-clause subsumption calls : 223
# 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          : 87391

# -------------------------------------------------
# User time                : 0.127 s
# System time              : 0.012 s
# Total time               : 0.139 s
# Maximum resident set size: 3596 pages
