# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S0U
# and selection function SelectComplexExceptRRHorn.
#
# Preprocessing time       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t44_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>~((r2_surrealc(k4_surrealc(X2),X1)&r2_surrealo(k8_surrealr(X1,X2),k11_surreal0))))), file('surrealc/surrealc__t45_surrealc', t44_surrealc)).
fof(t40_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>k2_surrealr(k8_surrealr(X1,X2))=k8_surrealr(k2_surrealr(X1),k2_surrealr(X2)))), file('surrealc/surrealc__t45_surrealc', t40_surrealr)).
fof(fc3_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k2_surrealr(X1))), file('surrealc/surrealc__t45_surrealc', fc3_surrealr)).
fof(t24_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>(r2_surrealo(X1,k11_surreal0)<=>r2_surrealo(k2_surrealr(X1),k11_surreal0))), file('surrealc/surrealc__t45_surrealc', t24_surrealr)).
fof(t17_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>((r2_surrealo(X1,X2)&r2_surrealc(X2,X3))=>r2_surrealc(X1,X3))))), file('surrealc/surrealc__t45_surrealc', t17_surrealc)).
fof(t40_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>r2_surrealo(k4_surrealc(k2_surrealr(X1)),k4_surrealc(X1))), file('surrealc/surrealc__t45_surrealc', t40_surrealc)).
fof(dt_k4_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k4_surrealc(X1))), file('surrealc/surrealc__t45_surrealc', dt_k4_surrealc)).
fof(fc6_surrealr, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>v2_surreal0(k6_surrealr(X1,X2))), file('surrealc/surrealc__t45_surrealc', fc6_surrealr)).
fof(redefinition_k8_surrealr, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>k8_surrealr(X1,X2)=k6_surrealr(X1,X2)), file('surrealc/surrealc__t45_surrealc', redefinition_k8_surrealr)).
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__t45_surrealc', d6_surrealc)).
fof(t45_surrealc, conjecture, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>~((r2_surrealc(k4_surrealc(X2),k4_surrealc(X1))&r2_surrealo(k8_surrealr(X1,X2),k11_surreal0))))), file('surrealc/surrealc__t45_surrealc', t45_surrealc)).
fof(c_0_11, plain, ![X38, X39]:(~v2_surreal0(X38)|(~v2_surreal0(X39)|(~r2_surrealc(k4_surrealc(X39),X38)|~r2_surrealo(k8_surrealr(X38,X39),k11_surreal0)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_surrealc])])])).
fof(c_0_12, plain, ![X36, X37]:(~v2_surreal0(X36)|(~v2_surreal0(X37)|k2_surrealr(k8_surrealr(X36,X37))=k8_surrealr(k2_surrealr(X36),k2_surrealr(X37)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t40_surrealr])])])).
fof(c_0_13, plain, ![X26]:(~v2_surreal0(X26)|v2_surreal0(k2_surrealr(X26))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_surrealr])])).
cnf(c_0_14, plain, (~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealc(k4_surrealc(X2),X1)|~r2_surrealo(k8_surrealr(X1,X2),k11_surreal0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_15, plain, (k2_surrealr(k8_surrealr(X1,X2))=k8_surrealr(k2_surrealr(X1),k2_surrealr(X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_16, plain, (v2_surreal0(k2_surrealr(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
fof(c_0_17, plain, ![X34]:((~r2_surrealo(X34,k11_surreal0)|r2_surrealo(k2_surrealr(X34),k11_surreal0)|~v2_surreal0(X34))&(~r2_surrealo(k2_surrealr(X34),k11_surreal0)|r2_surrealo(X34,k11_surreal0)|~v2_surreal0(X34))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t24_surrealr])])])).
fof(c_0_18, plain, ![X31, X32, X33]:(~v2_surreal0(X31)|(~v2_surreal0(X32)|(~v2_surreal0(X33)|(~r2_surrealo(X31,X32)|~r2_surrealc(X32,X33)|r2_surrealc(X31,X33))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_surrealc])])])).
fof(c_0_19, plain, ![X35]:(~v2_surreal0(X35)|r2_surrealo(k4_surrealc(k2_surrealr(X35)),k4_surrealc(X35))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t40_surrealc])])).
fof(c_0_20, plain, ![X25]:(~v2_surreal0(X25)|v2_surreal0(k4_surrealc(X25))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_surrealc])])).
fof(c_0_21, plain, ![X27, X28]:(~v2_surreal0(X27)|~v2_surreal0(X28)|v2_surreal0(k6_surrealr(X27,X28))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc6_surrealr])])).
fof(c_0_22, plain, ![X29, X30]:(~v2_surreal0(X29)|~v2_surreal0(X30)|k8_surrealr(X29,X30)=k6_surrealr(X29,X30)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k8_surrealr])])).
fof(c_0_23, 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_24, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>~((r2_surrealc(k4_surrealc(X2),k4_surrealc(X1))&r2_surrealo(k8_surrealr(X1,X2),k11_surreal0)))))), inference(assume_negation,[status(cth)],[t45_surrealc])).
cnf(c_0_25, plain, (~r2_surrealo(k2_surrealr(k8_surrealr(X1,X2)),k11_surreal0)|~r2_surrealc(k4_surrealc(k2_surrealr(X2)),k2_surrealr(X1))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_16])).
cnf(c_0_26, plain, (r2_surrealo(k2_surrealr(X1),k11_surreal0)|~r2_surrealo(X1,k11_surreal0)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_27, plain, (r2_surrealc(X1,X3)|~v2_surreal0(X1)|~v2_surreal0(X2)|~v2_surreal0(X3)|~r2_surrealo(X1,X2)|~r2_surrealc(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_28, plain, (r2_surrealo(k4_surrealc(k2_surrealr(X1)),k4_surrealc(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_29, plain, (v2_surreal0(k4_surrealc(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_30, plain, (v2_surreal0(k6_surrealr(X1,X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_31, plain, (k8_surrealr(X1,X2)=k6_surrealr(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_32, plain, ![X24]:((~r1_surrealo(k11_surreal0,X24)|k4_surrealc(X24)=X24|~v2_surreal0(X24))&(r1_surrealo(k11_surreal0,X24)|k4_surrealc(X24)=k2_surrealr(X24)|~v2_surreal0(X24))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
fof(c_0_33, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreal0(esk2_0)&(r2_surrealc(k4_surrealc(esk2_0),k4_surrealc(esk1_0))&r2_surrealo(k8_surrealr(esk1_0,esk2_0),k11_surreal0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])).
cnf(c_0_34, plain, (~r2_surrealo(k8_surrealr(X1,X2),k11_surreal0)|~r2_surrealc(k4_surrealc(k2_surrealr(X2)),k2_surrealr(X1))|~v2_surreal0(k8_surrealr(X1,X2))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_35, plain, (r2_surrealc(k4_surrealc(k2_surrealr(X1)),X2)|~r2_surrealc(k4_surrealc(X1),X2)|~v2_surreal0(k4_surrealc(k2_surrealr(X1)))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])).
cnf(c_0_36, plain, (v2_surreal0(k8_surrealr(X1,X2))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_37, plain, (r1_surrealo(k11_surreal0,X1)|k4_surrealc(X1)=k2_surrealr(X1)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_38, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_39, plain, (~r2_surrealo(k8_surrealr(X1,X2),k11_surreal0)|~r2_surrealc(k4_surrealc(X2),k2_surrealr(X1))|~v2_surreal0(k4_surrealc(k2_surrealr(X2)))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_16]), c_0_36])).
cnf(c_0_40, negated_conjecture, (r2_surrealo(k8_surrealr(esk1_0,esk2_0),k11_surreal0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_41, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_42, plain, (k4_surrealc(X1)=X1|~r1_surrealo(k11_surreal0,X1)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_43, negated_conjecture, (k2_surrealr(esk1_0)=k4_surrealc(esk1_0)|r1_surrealo(k11_surreal0,esk1_0)), inference(spm,[status(thm)],[c_0_37, c_0_38])).
cnf(c_0_44, negated_conjecture, (~r2_surrealc(k4_surrealc(esk2_0),k2_surrealr(esk1_0))|~v2_surreal0(k4_surrealc(k2_surrealr(esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41]), c_0_38])])).
cnf(c_0_45, negated_conjecture, (k2_surrealr(esk1_0)=k4_surrealc(esk1_0)|k4_surrealc(esk1_0)=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_38])])).
cnf(c_0_46, negated_conjecture, (r2_surrealc(k4_surrealc(esk2_0),k4_surrealc(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_47, negated_conjecture, (k4_surrealc(esk1_0)=esk1_0|~v2_surreal0(k4_surrealc(k2_surrealr(esk2_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_48, negated_conjecture, (k4_surrealc(esk1_0)=esk1_0|~v2_surreal0(k2_surrealr(esk2_0))), inference(spm,[status(thm)],[c_0_47, c_0_29])).
cnf(c_0_49, negated_conjecture, (k4_surrealc(esk1_0)=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_16]), c_0_41])])).
cnf(c_0_50, negated_conjecture, (~r2_surrealc(k4_surrealc(esk2_0),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_40]), c_0_41]), c_0_38])])).
cnf(c_0_51, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_49]), c_0_50]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 52
# Proof object clause steps            : 28
# Proof object formula steps           : 24
# Proof object conjectures             : 15
# Proof object clause conjectures      : 12
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 15
# Proof object initial formulas used   : 11
# Proof object generating inferences   : 12
# Proof object simplifying inferences  : 19
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 11
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 16
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 16
# Processed clauses                    : 122
# ...of these trivial                  : 0
# ...subsumed                          : 11
# ...remaining for further processing  : 111
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 19
# Backward-rewritten                   : 26
# Generated clauses                    : 236
# ...of the previous two non-trivial   : 235
# Contextual simplify-reflections      : 22
# Paramodulations                      : 236
# 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  : 50
#    Positive orientable unit clauses  : 4
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 45
# Current number of unprocessed clauses: 138
# ...number of literals in the above   : 701
# Current number of archived formulas  : 0
# Current number of archived clauses   : 61
# Clause-clause subsumption calls (NU) : 757
# Rec. Clause-clause subsumption calls : 214
# Non-unit clause-clause subsumptions  : 52
# Unit Clause-clause subsumption calls : 6
# 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          : 6907

# -------------------------------------------------
# User time                : 0.028 s
# System time              : 0.000 s
# Total time               : 0.028 s
# Maximum resident set size: 3580 pages
