# 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       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d8_surreali, axiom, ![X1]:(v2_surreal0(X1)=>(v2_surreali(X1)<=>~(r5_surreal0(X1,k11_surreal0)))), file('surreals/surreals__t32_surreals', d8_surreali)).
fof(t31_surreals, axiom, ![X1]:(v2_surreal0(X1)=>~((~(r5_surreal0(X1,k11_surreal0))&![X2]:(v2_surreal0(X2)=>~(((r2_surrealo(k2_surrealr(k1_surrealo),X2)&~(r5_surreal0(k2_surrealr(X1),k8_surreals(X2))))&X2=k4_tarski(k1_xboole_0,k2_tarski(k11_surreal0,k16_surrealr(k10_surrealr(k8_surreals(k8_surrealr(k16_surrealr(X1,X1),k1_surrealo)),X1),k10_surrealr(k8_surreals(k8_surrealr(k16_surrealr(X1,X1),k1_surrealo)),X1)))))))))), file('surreals/surreals__t32_surreals', t31_surreals)).
fof(fc1_surreali, axiom, (v2_surreal0(k1_surrealo)&v2_surreali(k1_surrealo)), file('surreals/surreals__t32_surreals', fc1_surreali)).
fof(t32_surreals, conjecture, ?[X1]:(v2_surreal0(X1)&?[X2]:(((v2_surreal0(X2)&r2_surrealo(X1,X2))&~(r5_surreal0(k11_surreal0,X2)))&~(r5_surreal0(k8_surreals(X2),k8_surreals(X1))))), file('surreals/surreals__t32_surreals', t32_surreals)).
fof(symmetry_r2_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r2_surrealo(X1,X2)=>r2_surrealo(X2,X1))), file('surreals/surreals__t32_surreals', symmetry_r2_surrealo)).
fof(t10_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r1_surrealo(X1,X2)<=>r1_surrealo(k2_surrealr(X2),k2_surrealr(X1))))), file('surreals/surreals__t32_surreals', t10_surrealr)).
fof(redefinition_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)<=>r5_surreal0(X1,X2))), file('surreals/surreals__t32_surreals', redefinition_r1_surrealo)).
fof(fc3_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k2_surrealr(X1))), file('surreals/surreals__t32_surreals', fc3_surrealr)).
fof(rd3_surreals, axiom, k8_surreals(k2_surrealr(k1_surrealo))=k2_surrealr(k1_surrealo), file('surreals/surreals__t32_surreals', rd3_surreals)).
fof(rd2_surrealr, axiom, k2_surrealr(k11_surreal0)=k11_surreal0, file('surreals/surreals__t32_surreals', rd2_surrealr)).
fof(dt_k11_surreal0, axiom, v2_surreal0(k11_surreal0), file('surreals/surreals__t32_surreals', dt_k11_surreal0)).
fof(c_0_11, plain, ![X1]:(v2_surreal0(X1)=>(v2_surreali(X1)<=>~r5_surreal0(X1,k11_surreal0))), inference(fof_simplification,[status(thm)],[d8_surreali])).
fof(c_0_12, plain, ![X1]:(v2_surreal0(X1)=>~((~r5_surreal0(X1,k11_surreal0)&![X2]:(v2_surreal0(X2)=>~(((r2_surrealo(k2_surrealr(k1_surrealo),X2)&~r5_surreal0(k2_surrealr(X1),k8_surreals(X2)))&X2=k4_tarski(k1_xboole_0,k2_tarski(k11_surreal0,k16_surrealr(k10_surrealr(k8_surreals(k8_surrealr(k16_surrealr(X1,X1),k1_surrealo)),X1),k10_surrealr(k8_surreals(k8_surrealr(k16_surrealr(X1,X1),k1_surrealo)),X1)))))))))), inference(fof_simplification,[status(thm)],[t31_surreals])).
fof(c_0_13, plain, ![X17]:((~v2_surreali(X17)|~r5_surreal0(X17,k11_surreal0)|~v2_surreal0(X17))&(r5_surreal0(X17,k11_surreal0)|v2_surreali(X17)|~v2_surreal0(X17))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])).
fof(c_0_14, plain, ![X25]:((v2_surreal0(esk1_1(X25))|r5_surreal0(X25,k11_surreal0)|~v2_surreal0(X25))&(((r2_surrealo(k2_surrealr(k1_surrealo),esk1_1(X25))|r5_surreal0(X25,k11_surreal0)|~v2_surreal0(X25))&(~r5_surreal0(k2_surrealr(X25),k8_surreals(esk1_1(X25)))|r5_surreal0(X25,k11_surreal0)|~v2_surreal0(X25)))&(esk1_1(X25)=k4_tarski(k1_xboole_0,k2_tarski(k11_surreal0,k16_surrealr(k10_surrealr(k8_surreals(k8_surrealr(k16_surrealr(X25,X25),k1_surrealo)),X25),k10_surrealr(k8_surreals(k8_surrealr(k16_surrealr(X25,X25),k1_surrealo)),X25))))|r5_surreal0(X25,k11_surreal0)|~v2_surreal0(X25)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])).
cnf(c_0_15, plain, (~v2_surreali(X1)|~r5_surreal0(X1,k11_surreal0)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_16, plain, (v2_surreali(k1_surrealo)), inference(split_conjunct,[status(thm)],[fc1_surreali])).
cnf(c_0_17, plain, (v2_surreal0(k1_surrealo)), inference(split_conjunct,[status(thm)],[fc1_surreali])).
fof(c_0_18, negated_conjecture, ~(?[X1]:(v2_surreal0(X1)&?[X2]:(((v2_surreal0(X2)&r2_surrealo(X1,X2))&~r5_surreal0(k11_surreal0,X2))&~r5_surreal0(k8_surreals(X2),k8_surreals(X1))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t32_surreals])])).
fof(c_0_19, plain, ![X21, X22]:(~v2_surreal0(X21)|~v2_surreal0(X22)|(~r2_surrealo(X21,X22)|r2_surrealo(X22,X21))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r2_surrealo])])).
cnf(c_0_20, plain, (r2_surrealo(k2_surrealr(k1_surrealo),esk1_1(X1))|r5_surreal0(X1,k11_surreal0)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_21, plain, (~r5_surreal0(k1_surrealo,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17])])).
cnf(c_0_22, plain, (v2_surreal0(esk1_1(X1))|r5_surreal0(X1,k11_surreal0)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_23, plain, ![X23, X24]:((~r1_surrealo(X23,X24)|r1_surrealo(k2_surrealr(X24),k2_surrealr(X23))|~v2_surreal0(X24)|~v2_surreal0(X23))&(~r1_surrealo(k2_surrealr(X24),k2_surrealr(X23))|r1_surrealo(X23,X24)|~v2_surreal0(X24)|~v2_surreal0(X23))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_surrealr])])])])).
fof(c_0_24, plain, ![X19, X20]:((~r1_surrealo(X19,X20)|r5_surreal0(X19,X20)|(~v2_surreal0(X19)|~v2_surreal0(X20)))&(~r5_surreal0(X19,X20)|r1_surrealo(X19,X20)|(~v2_surreal0(X19)|~v2_surreal0(X20)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
fof(c_0_25, plain, ![X18]:(~v2_surreal0(X18)|v2_surreal0(k2_surrealr(X18))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_surrealr])])).
fof(c_0_26, negated_conjecture, ![X15, X16]:(~v2_surreal0(X15)|(~v2_surreal0(X16)|~r2_surrealo(X15,X16)|r5_surreal0(k11_surreal0,X16)|r5_surreal0(k8_surreals(X16),k8_surreals(X15)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
cnf(c_0_27, plain, (r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealo(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_28, plain, (r2_surrealo(k2_surrealr(k1_surrealo),esk1_1(k1_surrealo))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_17]), c_0_21])).
cnf(c_0_29, plain, (v2_surreal0(esk1_1(k1_surrealo))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_17]), c_0_21])).
cnf(c_0_30, plain, (r1_surrealo(X2,X1)|~r1_surrealo(k2_surrealr(X1),k2_surrealr(X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_31, plain, (r1_surrealo(X1,X2)|~r5_surreal0(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_32, plain, (v2_surreal0(k2_surrealr(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_33, negated_conjecture, (r5_surreal0(k11_surreal0,X2)|r5_surreal0(k8_surreals(X2),k8_surreals(X1))|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealo(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_34, plain, (r2_surrealo(esk1_1(k1_surrealo),k2_surrealr(k1_surrealo))|~v2_surreal0(k2_surrealr(k1_surrealo))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])])).
cnf(c_0_35, plain, (k8_surreals(k2_surrealr(k1_surrealo))=k2_surrealr(k1_surrealo)), inference(split_conjunct,[status(thm)],[rd3_surreals])).
cnf(c_0_36, plain, (r1_surrealo(X1,X2)|~r5_surreal0(k2_surrealr(X2),k2_surrealr(X1))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32]), c_0_32])).
cnf(c_0_37, plain, (k2_surrealr(k11_surreal0)=k11_surreal0), inference(split_conjunct,[status(thm)],[rd2_surrealr])).
cnf(c_0_38, plain, (v2_surreal0(k11_surreal0)), inference(split_conjunct,[status(thm)],[dt_k11_surreal0])).
cnf(c_0_39, negated_conjecture, (r5_surreal0(k2_surrealr(k1_surrealo),k8_surreals(esk1_1(k1_surrealo)))|r5_surreal0(k11_surreal0,k2_surrealr(k1_surrealo))|~v2_surreal0(k2_surrealr(k1_surrealo))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35]), c_0_29])])).
cnf(c_0_40, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_41, plain, (r1_surrealo(X1,k11_surreal0)|~r5_surreal0(k11_surreal0,k2_surrealr(X1))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])])).
cnf(c_0_42, plain, (r5_surreal0(X1,k11_surreal0)|~r5_surreal0(k2_surrealr(X1),k8_surreals(esk1_1(X1)))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_43, negated_conjecture, (r5_surreal0(k2_surrealr(k1_surrealo),k8_surreals(esk1_1(k1_surrealo)))|r5_surreal0(k11_surreal0,k2_surrealr(k1_surrealo))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_32]), c_0_17])])).
cnf(c_0_44, plain, (r5_surreal0(X1,k11_surreal0)|~r5_surreal0(k11_surreal0,k2_surrealr(X1))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_38])])).
cnf(c_0_45, negated_conjecture, (r5_surreal0(k11_surreal0,k2_surrealr(k1_surrealo))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_17])]), c_0_21])).
cnf(c_0_46, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_17])]), c_0_21]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 47
# Proof object clause steps            : 26
# Proof object formula steps           : 21
# Proof object conjectures             : 8
# Proof object clause conjectures      : 5
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 15
# Proof object initial formulas used   : 11
# Proof object generating inferences   : 11
# Proof object simplifying inferences  : 23
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 11
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 18
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 18
# Processed clauses                    : 92
# ...of these trivial                  : 0
# ...subsumed                          : 5
# ...remaining for further processing  : 87
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 1
# Generated clauses                    : 149
# ...of the previous two non-trivial   : 116
# Contextual simplify-reflections      : 7
# 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  : 64
#    Positive orientable unit clauses  : 8
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 55
# Current number of unprocessed clauses: 60
# ...number of literals in the above   : 229
# Current number of archived formulas  : 0
# Current number of archived clauses   : 23
# Clause-clause subsumption calls (NU) : 492
# Rec. Clause-clause subsumption calls : 259
# Non-unit clause-clause subsumptions  : 16
# Unit Clause-clause subsumption calls : 9
# 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          : 4500

# -------------------------------------------------
# User time                : 0.021 s
# System time              : 0.007 s
# Total time               : 0.028 s
# Maximum resident set size: 2932 pages
