# 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       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t19_surreals, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r1_surrealo(k11_surreal0,X1)=>((((X2=k8_surreals(X1)=>(((r1_surrealo(k11_surreal0,X2)&r2_surrealo(k16_surrealr(X2,X2),X1))&(r2_surrealo(X1,k11_surreal0)=>r2_surrealo(X2,k11_surreal0)))&~((~(r5_surreal0(X1,k11_surreal0))&r5_surreal0(X2,k11_surreal0)))))&(r2_tarski(X2,k1_surreal0(k8_surreals(X1)))=>(r1_surrealo(k11_surreal0,X2)&~(r5_surreal0(X1,k16_surrealr(X2,X2))))))&(r2_tarski(X2,k2_surreal0(k8_surreals(X1)))=>(~(r5_surreal0(X2,k11_surreal0))&~(r5_surreal0(k16_surrealr(X2,X2),X1)))))&v2_surreal0(k8_surreals(X1)))))), file('surreals/surreals__t23_surreals', t19_surreals)).
fof(t23_surreals, conjecture, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r1_surrealo(k11_surreal0,X1)=>((r2_tarski(X2,k1_surreal0(k8_surreals(X1)))=>(r1_surrealo(k11_surreal0,X2)&~(r5_surreal0(X1,k16_surrealr(X2,X2)))))&(r2_tarski(X2,k2_surreal0(k8_surreals(X1)))=>(~(r5_surreal0(X2,k11_surreal0))&~(r5_surreal0(k16_surrealr(X2,X2),X1)))))))), file('surreals/surreals__t23_surreals', t23_surreals)).
fof(c_0_2, plain, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r1_surrealo(k11_surreal0,X1)=>((((X2=k8_surreals(X1)=>(((r1_surrealo(k11_surreal0,X2)&r2_surrealo(k16_surrealr(X2,X2),X1))&(r2_surrealo(X1,k11_surreal0)=>r2_surrealo(X2,k11_surreal0)))&~((~r5_surreal0(X1,k11_surreal0)&r5_surreal0(X2,k11_surreal0)))))&(r2_tarski(X2,k1_surreal0(k8_surreals(X1)))=>(r1_surrealo(k11_surreal0,X2)&~r5_surreal0(X1,k16_surrealr(X2,X2)))))&(r2_tarski(X2,k2_surreal0(k8_surreals(X1)))=>(~r5_surreal0(X2,k11_surreal0)&~r5_surreal0(k16_surrealr(X2,X2),X1))))&v2_surreal0(k8_surreals(X1)))))), inference(fof_simplification,[status(thm)],[t19_surreals])).
fof(c_0_3, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r1_surrealo(k11_surreal0,X1)=>((r2_tarski(X2,k1_surreal0(k8_surreals(X1)))=>(r1_surrealo(k11_surreal0,X2)&~r5_surreal0(X1,k16_surrealr(X2,X2))))&(r2_tarski(X2,k2_surreal0(k8_surreals(X1)))=>(~r5_surreal0(X2,k11_surreal0)&~r5_surreal0(k16_surrealr(X2,X2),X1)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t23_surreals])])).
fof(c_0_4, plain, ![X9, X10]:(((((((r1_surrealo(k11_surreal0,X10)|X10!=k8_surreals(X9)|~r1_surrealo(k11_surreal0,X9)|~v2_surreal0(X10)|~v2_surreal0(X9))&(r2_surrealo(k16_surrealr(X10,X10),X9)|X10!=k8_surreals(X9)|~r1_surrealo(k11_surreal0,X9)|~v2_surreal0(X10)|~v2_surreal0(X9)))&(~r2_surrealo(X9,k11_surreal0)|r2_surrealo(X10,k11_surreal0)|X10!=k8_surreals(X9)|~r1_surrealo(k11_surreal0,X9)|~v2_surreal0(X10)|~v2_surreal0(X9)))&(r5_surreal0(X9,k11_surreal0)|~r5_surreal0(X10,k11_surreal0)|X10!=k8_surreals(X9)|~r1_surrealo(k11_surreal0,X9)|~v2_surreal0(X10)|~v2_surreal0(X9)))&((r1_surrealo(k11_surreal0,X10)|~r2_tarski(X10,k1_surreal0(k8_surreals(X9)))|~r1_surrealo(k11_surreal0,X9)|~v2_surreal0(X10)|~v2_surreal0(X9))&(~r5_surreal0(X9,k16_surrealr(X10,X10))|~r2_tarski(X10,k1_surreal0(k8_surreals(X9)))|~r1_surrealo(k11_surreal0,X9)|~v2_surreal0(X10)|~v2_surreal0(X9))))&((~r5_surreal0(X10,k11_surreal0)|~r2_tarski(X10,k2_surreal0(k8_surreals(X9)))|~r1_surrealo(k11_surreal0,X9)|~v2_surreal0(X10)|~v2_surreal0(X9))&(~r5_surreal0(k16_surrealr(X10,X10),X9)|~r2_tarski(X10,k2_surreal0(k8_surreals(X9)))|~r1_surrealo(k11_surreal0,X9)|~v2_surreal0(X10)|~v2_surreal0(X9))))&(v2_surreal0(k8_surreals(X9))|~r1_surrealo(k11_surreal0,X9)|~v2_surreal0(X10)|~v2_surreal0(X9))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])).
fof(c_0_5, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreal0(esk2_0)&(r1_surrealo(k11_surreal0,esk1_0)&(((r2_tarski(esk2_0,k2_surreal0(k8_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(k8_surreals(esk1_0))))&(r5_surreal0(esk2_0,k11_surreal0)|r5_surreal0(k16_surrealr(esk2_0,esk2_0),esk1_0)|r2_tarski(esk2_0,k1_surreal0(k8_surreals(esk1_0)))))&((r2_tarski(esk2_0,k2_surreal0(k8_surreals(esk1_0)))|(~r1_surrealo(k11_surreal0,esk2_0)|r5_surreal0(esk1_0,k16_surrealr(esk2_0,esk2_0))))&(r5_surreal0(esk2_0,k11_surreal0)|r5_surreal0(k16_surrealr(esk2_0,esk2_0),esk1_0)|(~r1_surrealo(k11_surreal0,esk2_0)|r5_surreal0(esk1_0,k16_surrealr(esk2_0,esk2_0))))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])).
cnf(c_0_6, plain, (~r5_surreal0(X1,k11_surreal0)|~r2_tarski(X1,k2_surreal0(k8_surreals(X2)))|~r1_surrealo(k11_surreal0,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_7, negated_conjecture, (r2_tarski(esk2_0,k2_surreal0(k8_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(k8_surreals(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_8, negated_conjecture, (r1_surrealo(k11_surreal0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_9, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_10, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_11, plain, (r1_surrealo(k11_surreal0,X1)|~r2_tarski(X1,k1_surreal0(k8_surreals(X2)))|~r1_surrealo(k11_surreal0,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_12, negated_conjecture, (r2_tarski(esk2_0,k1_surreal0(k8_surreals(esk1_0)))|~r5_surreal0(esk2_0,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_7]), c_0_8]), c_0_9]), c_0_10])])).
cnf(c_0_13, plain, (~r5_surreal0(k16_surrealr(X1,X1),X2)|~r2_tarski(X1,k2_surreal0(k8_surreals(X2)))|~r1_surrealo(k11_surreal0,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_14, negated_conjecture, (r5_surreal0(esk2_0,k11_surreal0)|r5_surreal0(k16_surrealr(esk2_0,esk2_0),esk1_0)|r2_tarski(esk2_0,k1_surreal0(k8_surreals(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_15, negated_conjecture, (r1_surrealo(k11_surreal0,esk2_0)|~r5_surreal0(esk2_0,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_8]), c_0_9]), c_0_10])])).
cnf(c_0_16, negated_conjecture, (r2_tarski(esk2_0,k1_surreal0(k8_surreals(esk1_0)))|~r5_surreal0(k16_surrealr(esk2_0,esk2_0),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_7]), c_0_8]), c_0_9]), c_0_10])])).
cnf(c_0_17, negated_conjecture, (r5_surreal0(k16_surrealr(esk2_0,esk2_0),esk1_0)|r1_surrealo(k11_surreal0,esk2_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_14]), c_0_8]), c_0_9]), c_0_10])]), c_0_15])).
cnf(c_0_18, negated_conjecture, (r2_tarski(esk2_0,k2_surreal0(k8_surreals(esk1_0)))|r5_surreal0(esk1_0,k16_surrealr(esk2_0,esk2_0))|~r1_surrealo(k11_surreal0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_19, negated_conjecture, (r1_surrealo(k11_surreal0,esk2_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_16]), c_0_8]), c_0_9]), c_0_10])]), c_0_17])).
cnf(c_0_20, plain, (~r5_surreal0(X1,k16_surrealr(X2,X2))|~r2_tarski(X2,k1_surreal0(k8_surreals(X1)))|~r1_surrealo(k11_surreal0,X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_21, negated_conjecture, (r5_surreal0(esk1_0,k16_surrealr(esk2_0,esk2_0))|r2_tarski(esk2_0,k2_surreal0(k8_surreals(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])])).
cnf(c_0_22, negated_conjecture, (~r5_surreal0(esk1_0,k16_surrealr(esk2_0,esk2_0))|~r5_surreal0(esk2_0,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_12]), c_0_8]), c_0_10]), c_0_9])])).
cnf(c_0_23, negated_conjecture, (~r5_surreal0(esk1_0,k16_surrealr(esk2_0,esk2_0))|~r5_surreal0(k16_surrealr(esk2_0,esk2_0),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_16]), c_0_8]), c_0_10]), c_0_9])])).
cnf(c_0_24, negated_conjecture, (~r5_surreal0(esk2_0,k11_surreal0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_21]), c_0_8]), c_0_9]), c_0_10])]), c_0_22])).
cnf(c_0_25, negated_conjecture, (~r5_surreal0(k16_surrealr(esk2_0,esk2_0),esk1_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_21]), c_0_8]), c_0_9]), c_0_10])]), c_0_23])).
cnf(c_0_26, negated_conjecture, (r2_tarski(esk2_0,k1_surreal0(k8_surreals(esk1_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_14, c_0_24]), c_0_25])).
cnf(c_0_27, negated_conjecture, (r5_surreal0(esk2_0,k11_surreal0)|r5_surreal0(k16_surrealr(esk2_0,esk2_0),esk1_0)|r5_surreal0(esk1_0,k16_surrealr(esk2_0,esk2_0))|~r1_surrealo(k11_surreal0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_28, negated_conjecture, (~r5_surreal0(esk1_0,k16_surrealr(esk2_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_26]), c_0_8]), c_0_10]), c_0_9])])).
cnf(c_0_29, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_19])]), c_0_28]), c_0_25]), c_0_24]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 30
# Proof object clause steps            : 24
# Proof object formula steps           : 6
# Proof object conjectures             : 23
# Proof object clause conjectures      : 20
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 11
# Proof object initial formulas used   : 2
# Proof object generating inferences   : 10
# Proof object simplifying inferences  : 53
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 2
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 16
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 16
# Processed clauses                    : 61
# ...of these trivial                  : 0
# ...subsumed                          : 2
# ...remaining for further processing  : 58
# Other redundant clauses eliminated   : 4
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 9
# Generated clauses                    : 41
# ...of the previous two non-trivial   : 42
# Contextual simplify-reflections      : 5
# Paramodulations                      : 35
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 4
# 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  : 25
#    Positive orientable unit clauses  : 10
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 12
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 5
# Current number of archived formulas  : 0
# Current number of archived clauses   : 29
# Clause-clause subsumption calls (NU) : 51
# Rec. Clause-clause subsumption calls : 9
# Non-unit clause-clause subsumptions  : 5
# Unit Clause-clause subsumption calls : 37
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 9
# BW rewrite match successes           : 6
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2194

# -------------------------------------------------
# User time                : 0.025 s
# System time              : 0.000 s
# Total time               : 0.025 s
# Maximum resident set size: 3012 pages
