# 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__t12_surrealc', d3_surrealc)).
fof(t12_surrealc, conjecture, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>((r2_surrealc(X1,X2)&r1_surrealo(X2,X3))=>r2_surrealc(X1,X3))))), file('surrealc/surrealc__t12_surrealc', t12_surrealc)).
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__t12_surrealc', t4_surrealo)).
fof(fc8_surrealr, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>v2_surreal0(k14_surrealr(X1,X2))), file('surrealc/surrealc__t12_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__t12_surrealc', redefinition_k16_surrealr)).
fof(fc13_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>v2_surreal0(k1_funct_1(k6_surrealn,X1))), file('surrealc/surrealc__t12_surrealc', fc13_surrealn)).
fof(redefinition_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)<=>r5_surreal0(X1,X2))), file('surrealc/surrealc__t12_surrealc', redefinition_r1_surrealo)).
fof(c_0_7, 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_8, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>((r2_surrealc(X1,X2)&r1_surrealo(X2,X3))=>r2_surrealc(X1,X3)))))), inference(assume_negation,[status(cth)],[t12_surrealc])).
fof(c_0_9, plain, ![X30, X31, X32]:((~r2_surrealc(X30,X31)|(~v1_xreal_0(X32)|~v2_xxreal_0(X32)|~r5_surreal0(X31,k16_surrealr(X30,k1_funct_1(k6_surrealn,X32))))|~v2_surreal0(X31)|~v2_surreal0(X30))&(((v1_xreal_0(esk4_2(X30,X31))|r2_surrealc(X30,X31)|~v2_surreal0(X31)|~v2_surreal0(X30))&(v2_xxreal_0(esk4_2(X30,X31))|r2_surrealc(X30,X31)|~v2_surreal0(X31)|~v2_surreal0(X30)))&(r5_surreal0(X31,k16_surrealr(X30,k1_funct_1(k6_surrealn,esk4_2(X30,X31))))|r2_surrealc(X30,X31)|~v2_surreal0(X31)|~v2_surreal0(X30)))), 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_7])])])])])).
fof(c_0_10, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreal0(esk2_0)&(v2_surreal0(esk3_0)&((r2_surrealc(esk1_0,esk2_0)&r1_surrealo(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_8])])])).
cnf(c_0_11, 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_9])).
cnf(c_0_12, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_13, plain, ![X34, X35, X36]:(~v2_surreal0(X34)|(~v2_surreal0(X35)|(~v2_surreal0(X36)|(~r5_surreal0(X34,X35)|~r5_surreal0(X35,X36)|r5_surreal0(X34,X36))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_surrealo])])])).
cnf(c_0_14, 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_11, c_0_12])).
cnf(c_0_15, negated_conjecture, (v2_surreal0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16, negated_conjecture, (~r2_surrealc(esk1_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_17, 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_9])).
cnf(c_0_18, 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_9])).
cnf(c_0_19, 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_13])).
cnf(c_0_20, 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_14, c_0_15]), c_0_16])).
cnf(c_0_21, negated_conjecture, (v2_xxreal_0(esk4_2(X1,esk3_0))|r2_surrealc(X1,esk3_0)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_17, c_0_15])).
cnf(c_0_22, negated_conjecture, (v1_xreal_0(esk4_2(X1,esk3_0))|r2_surrealc(X1,esk3_0)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_18, c_0_15])).
fof(c_0_23, 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_24, plain, ![X25, X26]:(~v2_surreal0(X25)|~v2_surreal0(X26)|k16_surrealr(X25,X26)=k14_surrealr(X25,X26)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k16_surrealr])])).
cnf(c_0_25, 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_9])).
cnf(c_0_26, 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_19, c_0_20]), c_0_15])])).
cnf(c_0_27, negated_conjecture, (v2_xxreal_0(esk4_2(esk1_0,esk3_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_12]), c_0_16])).
cnf(c_0_28, negated_conjecture, (v1_xreal_0(esk4_2(esk1_0,esk3_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_12]), c_0_16])).
cnf(c_0_29, plain, (v2_surreal0(k14_surrealr(X1,X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_30, plain, (k16_surrealr(X1,X2)=k14_surrealr(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_31, 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_25, c_0_26]), c_0_27]), c_0_28]), c_0_12])])).
cnf(c_0_32, plain, (v2_surreal0(k16_surrealr(X1,X2))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
fof(c_0_33, plain, ![X27]:(~v1_xreal_0(X27)|v2_surreal0(k1_funct_1(k6_surrealn,X27))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_surrealn])])).
fof(c_0_34, plain, ![X28, X29]:((~r1_surrealo(X28,X29)|r5_surreal0(X28,X29)|(~v2_surreal0(X28)|~v2_surreal0(X29)))&(~r5_surreal0(X28,X29)|r1_surrealo(X28,X29)|(~v2_surreal0(X28)|~v2_surreal0(X29)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
cnf(c_0_35, 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_31, c_0_32]), c_0_12])])).
cnf(c_0_36, plain, (v2_surreal0(k1_funct_1(k6_surrealn,X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_37, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_38, negated_conjecture, (r1_surrealo(esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_39, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_40, 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_35, c_0_36]), c_0_28])])).
cnf(c_0_41, negated_conjecture, (r2_surrealc(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_42, negated_conjecture, (r5_surreal0(esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_15]), c_0_39])])).
cnf(c_0_43, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42]), c_0_39])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 44
# Proof object clause steps            : 28
# Proof object formula steps           : 16
# Proof object conjectures             : 21
# Proof object clause conjectures      : 18
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 15
# Proof object initial formulas used   : 7
# Proof object generating inferences   : 13
# Proof object simplifying inferences  : 19
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 7
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 16
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 16
# Processed clauses                    : 99
# ...of these trivial                  : 0
# ...subsumed                          : 1
# ...remaining for further processing  : 98
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 0
# Generated clauses                    : 218
# ...of the previous two non-trivial   : 206
# Contextual simplify-reflections      : 0
# Paramodulations                      : 218
# 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  : 80
#    Positive orientable unit clauses  : 9
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 70
# Current number of unprocessed clauses: 139
# ...number of literals in the above   : 526
# Current number of archived formulas  : 0
# Current number of archived clauses   : 18
# Clause-clause subsumption calls (NU) : 413
# Rec. Clause-clause subsumption calls : 282
# Non-unit clause-clause subsumptions  : 2
# Unit Clause-clause subsumption calls : 1
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 6477

# -------------------------------------------------
# User time                : 0.017 s
# System time              : 0.006 s
# Total time               : 0.023 s
# Maximum resident set size: 3664 pages
