# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S047N
# and selection function PSelectComplexPreferNEQ.
#
# Preprocessing time       : 0.016 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t21_surreals, conjecture, ![X1]:(v2_surreal0(X1)=>(r1_surrealo(k11_surreal0,X1)=>(r1_surrealo(k11_surreal0,k8_surreals(X1))&r2_surrealo(k16_surrealr(k8_surreals(X1),k8_surreals(X1)),X1)))), file('surreals/surreals__t21_surreals', t21_surreals)).
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__t21_surreals', t19_surreals)).
fof(redefinition_k8_surreals, axiom, ![X1]:(v2_surreal0(X1)=>k8_surreals(X1)=k7_surreals(X1)), file('surreals/surreals__t21_surreals', redefinition_k8_surreals)).
fof(fc4_surreals, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k7_surreals(X1))), file('surreals/surreals__t21_surreals', fc4_surreals)).
fof(c_0_4, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>(r1_surrealo(k11_surreal0,X1)=>(r1_surrealo(k11_surreal0,k8_surreals(X1))&r2_surrealo(k16_surrealr(k8_surreals(X1),k8_surreals(X1)),X1))))), inference(assume_negation,[status(cth)],[t21_surreals])).
fof(c_0_5, 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_6, plain, ![X10]:(~v2_surreal0(X10)|k8_surreals(X10)=k7_surreals(X10)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k8_surreals])])).
fof(c_0_7, negated_conjecture, (v2_surreal0(esk1_0)&(r1_surrealo(k11_surreal0,esk1_0)&(~r1_surrealo(k11_surreal0,k8_surreals(esk1_0))|~r2_surrealo(k16_surrealr(k8_surreals(esk1_0),k8_surreals(esk1_0)),esk1_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
fof(c_0_8, plain, ![X11, X12]:(((((((r1_surrealo(k11_surreal0,X12)|X12!=k8_surreals(X11)|~r1_surrealo(k11_surreal0,X11)|~v2_surreal0(X12)|~v2_surreal0(X11))&(r2_surrealo(k16_surrealr(X12,X12),X11)|X12!=k8_surreals(X11)|~r1_surrealo(k11_surreal0,X11)|~v2_surreal0(X12)|~v2_surreal0(X11)))&(~r2_surrealo(X11,k11_surreal0)|r2_surrealo(X12,k11_surreal0)|X12!=k8_surreals(X11)|~r1_surrealo(k11_surreal0,X11)|~v2_surreal0(X12)|~v2_surreal0(X11)))&(r5_surreal0(X11,k11_surreal0)|~r5_surreal0(X12,k11_surreal0)|X12!=k8_surreals(X11)|~r1_surrealo(k11_surreal0,X11)|~v2_surreal0(X12)|~v2_surreal0(X11)))&((r1_surrealo(k11_surreal0,X12)|~r2_tarski(X12,k1_surreal0(k8_surreals(X11)))|~r1_surrealo(k11_surreal0,X11)|~v2_surreal0(X12)|~v2_surreal0(X11))&(~r5_surreal0(X11,k16_surrealr(X12,X12))|~r2_tarski(X12,k1_surreal0(k8_surreals(X11)))|~r1_surrealo(k11_surreal0,X11)|~v2_surreal0(X12)|~v2_surreal0(X11))))&((~r5_surreal0(X12,k11_surreal0)|~r2_tarski(X12,k2_surreal0(k8_surreals(X11)))|~r1_surrealo(k11_surreal0,X11)|~v2_surreal0(X12)|~v2_surreal0(X11))&(~r5_surreal0(k16_surrealr(X12,X12),X11)|~r2_tarski(X12,k2_surreal0(k8_surreals(X11)))|~r1_surrealo(k11_surreal0,X11)|~v2_surreal0(X12)|~v2_surreal0(X11))))&(v2_surreal0(k8_surreals(X11))|~r1_surrealo(k11_surreal0,X11)|~v2_surreal0(X12)|~v2_surreal0(X11))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])).
fof(c_0_9, plain, ![X9]:(~v2_surreal0(X9)|v2_surreal0(k7_surreals(X9))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_surreals])])).
cnf(c_0_10, plain, (k8_surreals(X1)=k7_surreals(X1)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_11, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_12, plain, (r1_surrealo(k11_surreal0,X1)|X1!=k8_surreals(X2)|~r1_surrealo(k11_surreal0,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_13, plain, (v2_surreal0(k7_surreals(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_14, negated_conjecture, (k7_surreals(esk1_0)=k8_surreals(esk1_0)), inference(spm,[status(thm)],[c_0_10, c_0_11])).
cnf(c_0_15, plain, (r1_surrealo(k11_surreal0,k8_surreals(X1))|~r1_surrealo(k11_surreal0,X1)|~v2_surreal0(k8_surreals(X1))|~v2_surreal0(X1)), inference(er,[status(thm)],[c_0_12])).
cnf(c_0_16, negated_conjecture, (r1_surrealo(k11_surreal0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_17, negated_conjecture, (v2_surreal0(k8_surreals(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_11])])).
cnf(c_0_18, plain, (r2_surrealo(k16_surrealr(X1,X1),X2)|X1!=k8_surreals(X2)|~r1_surrealo(k11_surreal0,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_19, negated_conjecture, (~r1_surrealo(k11_surreal0,k8_surreals(esk1_0))|~r2_surrealo(k16_surrealr(k8_surreals(esk1_0),k8_surreals(esk1_0)),esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_20, negated_conjecture, (r1_surrealo(k11_surreal0,k8_surreals(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17]), c_0_11])])).
cnf(c_0_21, plain, (r2_surrealo(k16_surrealr(k8_surreals(X1),k8_surreals(X1)),X1)|~r1_surrealo(k11_surreal0,X1)|~v2_surreal0(k8_surreals(X1))|~v2_surreal0(X1)), inference(er,[status(thm)],[c_0_18])).
cnf(c_0_22, negated_conjecture, (~r2_surrealo(k16_surrealr(k8_surreals(esk1_0),k8_surreals(esk1_0)),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])).
cnf(c_0_23, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_16]), c_0_17]), c_0_11])]), c_0_22]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 24
# Proof object clause steps            : 14
# Proof object formula steps           : 10
# Proof object conjectures             : 11
# Proof object clause conjectures      : 8
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 7
# Proof object initial formulas used   : 4
# Proof object generating inferences   : 4
# Proof object simplifying inferences  : 13
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 4
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 14
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 14
# Processed clauses                    : 42
# ...of these trivial                  : 2
# ...subsumed                          : 0
# ...remaining for further processing  : 40
# Other redundant clauses eliminated   : 4
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 2
# Generated clauses                    : 23
# ...of the previous two non-trivial   : 20
# Contextual simplify-reflections      : 0
# Paramodulations                      : 19
# 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  : 20
#    Positive orientable unit clauses  : 8
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 11
# Current number of unprocessed clauses: 6
# ...number of literals in the above   : 8
# Current number of archived formulas  : 0
# Current number of archived clauses   : 16
# Clause-clause subsumption calls (NU) : 99
# Rec. Clause-clause subsumption calls : 29
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 2
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 1824

# -------------------------------------------------
# User time                : 0.020 s
# System time              : 0.000 s
# Total time               : 0.020 s
# Maximum resident set size: 2940 pages
