# 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       : 0.018 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__t19_surrealc', d3_surrealc)).
fof(t19_surrealc, conjecture, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>((r2_surrealo(X1,X2)&r2_surrealc(X3,X1))=>r2_surrealc(X3,X2))))), file('surrealc/surrealc__t19_surrealc', t19_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__t19_surrealc', t4_surrealo)).
fof(fc8_surrealr, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>v2_surreal0(k14_surrealr(X1,X2))), file('surrealc/surrealc__t19_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__t19_surrealc', redefinition_k16_surrealr)).
fof(d2_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r2_surrealo(X1,X2)<=>(r1_surrealo(X1,X2)&r1_surrealo(X2,X1))))), file('surrealc/surrealc__t19_surrealc', d2_surrealo)).
fof(fc13_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>v2_surreal0(k1_funct_1(k6_surrealn,X1))), file('surrealc/surrealc__t19_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__t19_surrealc', redefinition_r1_surrealo)).
fof(c_0_8, 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_9, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>((r2_surrealo(X1,X2)&r2_surrealc(X3,X1))=>r2_surrealc(X3,X2)))))), inference(assume_negation,[status(cth)],[t19_surrealc])).
fof(c_0_10, 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_8])])])])])).
fof(c_0_11, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreal0(esk2_0)&(v2_surreal0(esk3_0)&((r2_surrealo(esk1_0,esk2_0)&r2_surrealc(esk3_0,esk1_0))&~r2_surrealc(esk3_0,esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
cnf(c_0_12, 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_10])).
cnf(c_0_13, negated_conjecture, (v2_surreal0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
fof(c_0_14, plain, ![X38, X39, X40]:(~v2_surreal0(X38)|(~v2_surreal0(X39)|(~v2_surreal0(X40)|(~r5_surreal0(X38,X39)|~r5_surreal0(X39,X40)|r5_surreal0(X38,X40))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_surrealo])])])).
cnf(c_0_15, negated_conjecture, (r5_surreal0(X1,k16_surrealr(esk3_0,k1_funct_1(k6_surrealn,esk4_2(esk3_0,X1))))|r2_surrealc(esk3_0,X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_12, c_0_13])).
cnf(c_0_16, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_17, negated_conjecture, (~r2_surrealc(esk3_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_18, 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_10])).
cnf(c_0_19, 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_10])).
cnf(c_0_20, 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_14])).
cnf(c_0_21, negated_conjecture, (r5_surreal0(esk2_0,k16_surrealr(esk3_0,k1_funct_1(k6_surrealn,esk4_2(esk3_0,esk2_0))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17])).
cnf(c_0_22, negated_conjecture, (v2_xxreal_0(esk4_2(X1,esk2_0))|r2_surrealc(X1,esk2_0)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_18, c_0_16])).
cnf(c_0_23, negated_conjecture, (v1_xreal_0(esk4_2(X1,esk2_0))|r2_surrealc(X1,esk2_0)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_19, c_0_16])).
fof(c_0_24, plain, ![X25, X26]:(~v2_surreal0(X25)|~v2_surreal0(X26)|v2_surreal0(k14_surrealr(X25,X26))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_surrealr])])).
fof(c_0_25, plain, ![X27, X28]:(~v2_surreal0(X27)|~v2_surreal0(X28)|k16_surrealr(X27,X28)=k14_surrealr(X27,X28)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k16_surrealr])])).
cnf(c_0_26, 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_10])).
cnf(c_0_27, negated_conjecture, (r5_surreal0(X1,k16_surrealr(esk3_0,k1_funct_1(k6_surrealn,esk4_2(esk3_0,esk2_0))))|~r5_surreal0(X1,esk2_0)|~v2_surreal0(k16_surrealr(esk3_0,k1_funct_1(k6_surrealn,esk4_2(esk3_0,esk2_0))))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_16])])).
cnf(c_0_28, negated_conjecture, (v2_xxreal_0(esk4_2(esk3_0,esk2_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_13]), c_0_17])).
cnf(c_0_29, negated_conjecture, (v1_xreal_0(esk4_2(esk3_0,esk2_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_13]), c_0_17])).
cnf(c_0_30, plain, (v2_surreal0(k14_surrealr(X1,X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_31, plain, (k16_surrealr(X1,X2)=k14_surrealr(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_32, plain, ![X36, X37]:(((r1_surrealo(X36,X37)|~r2_surrealo(X36,X37)|~v2_surreal0(X37)|~v2_surreal0(X36))&(r1_surrealo(X37,X36)|~r2_surrealo(X36,X37)|~v2_surreal0(X37)|~v2_surreal0(X36)))&(~r1_surrealo(X36,X37)|~r1_surrealo(X37,X36)|r2_surrealo(X36,X37)|~v2_surreal0(X37)|~v2_surreal0(X36))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_surrealo])])])])).
cnf(c_0_33, negated_conjecture, (~r5_surreal0(X1,esk2_0)|~r2_surrealc(esk3_0,X1)|~v2_surreal0(k16_surrealr(esk3_0,k1_funct_1(k6_surrealn,esk4_2(esk3_0,esk2_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_26, c_0_27]), c_0_28]), c_0_29]), c_0_13])])).
cnf(c_0_34, plain, (v2_surreal0(k16_surrealr(X1,X2))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
fof(c_0_35, plain, ![X31]:(~v1_xreal_0(X31)|v2_surreal0(k1_funct_1(k6_surrealn,X31))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_surrealn])])).
fof(c_0_36, plain, ![X29, X30]:((~r1_surrealo(X29,X30)|r5_surreal0(X29,X30)|(~v2_surreal0(X29)|~v2_surreal0(X30)))&(~r5_surreal0(X29,X30)|r1_surrealo(X29,X30)|(~v2_surreal0(X29)|~v2_surreal0(X30)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
cnf(c_0_37, plain, (r1_surrealo(X1,X2)|~r2_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_38, negated_conjecture, (r2_surrealo(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_39, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_40, negated_conjecture, (~r5_surreal0(X1,esk2_0)|~r2_surrealc(esk3_0,X1)|~v2_surreal0(k1_funct_1(k6_surrealn,esk4_2(esk3_0,esk2_0)))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_13])])).
cnf(c_0_41, plain, (v2_surreal0(k1_funct_1(k6_surrealn,X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_42, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_43, negated_conjecture, (r1_surrealo(esk1_0,esk2_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_16]), c_0_39])])).
cnf(c_0_44, negated_conjecture, (~r5_surreal0(X1,esk2_0)|~r2_surrealc(esk3_0,X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_29])])).
cnf(c_0_45, negated_conjecture, (r2_surrealc(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_46, negated_conjecture, (r5_surreal0(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_16]), c_0_39])])).
cnf(c_0_47, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46]), c_0_39])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 48
# Proof object clause steps            : 30
# Proof object formula steps           : 18
# Proof object conjectures             : 22
# Proof object clause conjectures      : 19
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 16
# Proof object initial formulas used   : 8
# Proof object generating inferences   : 14
# Proof object simplifying inferences  : 22
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 8
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 19
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 19
# Processed clauses                    : 90
# ...of these trivial                  : 0
# ...subsumed                          : 2
# ...remaining for further processing  : 88
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 0
# Generated clauses                    : 149
# ...of the previous two non-trivial   : 139
# Contextual simplify-reflections      : 0
# Paramodulations                      : 149
# 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  : 67
#    Positive orientable unit clauses  : 13
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 53
# Current number of unprocessed clauses: 87
# ...number of literals in the above   : 323
# Current number of archived formulas  : 0
# Current number of archived clauses   : 21
# Clause-clause subsumption calls (NU) : 298
# Rec. Clause-clause subsumption calls : 175
# Non-unit clause-clause subsumptions  : 3
# Unit Clause-clause subsumption calls : 14
# 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          : 4898

# -------------------------------------------------
# User time                : 0.020 s
# System time              : 0.005 s
# Total time               : 0.025 s
# Maximum resident set size: 2964 pages
