# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___207_C18_F1_AE_CS_SP_PI_PS_S2S
# and selection function SelectNewComplexAHP.
#
# Preprocessing time       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(redefinition_r1_ordinal1, axiom, ![X1, X2]:((v3_ordinal1(X1)&v3_ordinal1(X2))=>(r1_ordinal1(X1,X2)<=>r1_tarski(X1,X2))), file('surrealn/surrealn__t68_surrealn', redefinition_r1_ordinal1)).
fof(t16_ordinal1, axiom, ![X1]:(v3_ordinal1(X1)=>![X2]:(v3_ordinal1(X2)=>(r1_ordinal1(X1,X2)|r2_tarski(X2,X1)))), file('surrealn/surrealn__t68_surrealn', t16_ordinal1)).
fof(d8_xboole_0, axiom, ![X1, X2]:(r2_xboole_0(X1,X2)<=>(r1_tarski(X1,X2)&X1!=X2)), file('surrealn/surrealn__t68_surrealn', d8_xboole_0)).
fof(t68_surrealn, conjecture, ![X1]:(v3_ordinal1(X1)=>![X2]:(v3_ordinal1(X2)=>(~(r5_surreal0(k8_surrealn(X2),k8_surrealn(X1)))<=>r2_tarski(X1,X2)))), file('surrealn/surrealn__t68_surrealn', t68_surrealn)).
fof(t11_ordinal1, axiom, ![X1]:(v1_ordinal1(X1)=>![X2]:(v3_ordinal1(X2)=>(r2_xboole_0(X1,X2)=>r2_tarski(X1,X2)))), file('surrealn/surrealn__t68_surrealn', t11_ordinal1)).
fof(cc1_ordinal1, axiom, ![X1]:(v3_ordinal1(X1)=>(v1_ordinal1(X1)&v2_ordinal1(X1))), file('surrealn/surrealn__t68_surrealn', cc1_ordinal1)).
fof(redefinition_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)<=>r5_surreal0(X1,X2))), file('surrealn/surrealn__t68_surrealn', redefinition_r1_surrealo)).
fof(connectedness_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)|r1_surrealo(X2,X1))), file('surrealn/surrealn__t68_surrealn', connectedness_r1_surrealo)).
fof(l101_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>![X2]:(v3_ordinal1(X2)=>~((r2_tarski(X1,X2)&r5_surreal0(k8_surrealn(X2),k8_surrealn(X1)))))), file('surrealn/surrealn__t68_surrealn', l101_surrealn)).
fof(fc23_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>v2_surreal0(k8_surrealn(X1))), file('surrealn/surrealn__t68_surrealn', fc23_surrealn)).
fof(c_0_10, plain, ![X31, X32]:((~r1_ordinal1(X31,X32)|r1_tarski(X31,X32)|(~v3_ordinal1(X31)|~v3_ordinal1(X32)))&(~r1_tarski(X31,X32)|r1_ordinal1(X31,X32)|(~v3_ordinal1(X31)|~v3_ordinal1(X32)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_ordinal1])])])).
fof(c_0_11, plain, ![X37, X38]:(~v3_ordinal1(X37)|(~v3_ordinal1(X38)|(r1_ordinal1(X37,X38)|r2_tarski(X38,X37)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_ordinal1])])])).
fof(c_0_12, plain, ![X26, X27]:(((r1_tarski(X26,X27)|~r2_xboole_0(X26,X27))&(X26!=X27|~r2_xboole_0(X26,X27)))&(~r1_tarski(X26,X27)|X26=X27|r2_xboole_0(X26,X27))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_xboole_0])])])).
cnf(c_0_13, plain, (r1_tarski(X1,X2)|~r1_ordinal1(X1,X2)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_14, plain, (r1_ordinal1(X1,X2)|r2_tarski(X2,X1)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
fof(c_0_15, negated_conjecture, ~(![X1]:(v3_ordinal1(X1)=>![X2]:(v3_ordinal1(X2)=>(~r5_surreal0(k8_surrealn(X2),k8_surrealn(X1))<=>r2_tarski(X1,X2))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t68_surrealn])])).
fof(c_0_16, plain, ![X35, X36]:(~v1_ordinal1(X35)|(~v3_ordinal1(X36)|(~r2_xboole_0(X35,X36)|r2_tarski(X35,X36)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t11_ordinal1])])])).
cnf(c_0_17, plain, (X1=X2|r2_xboole_0(X1,X2)|~r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_18, plain, (r1_tarski(X1,X2)|r2_tarski(X2,X1)|~v3_ordinal1(X2)|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_13, c_0_14])).
fof(c_0_19, plain, ![X23]:((v1_ordinal1(X23)|~v3_ordinal1(X23))&(v2_ordinal1(X23)|~v3_ordinal1(X23))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_ordinal1])])])).
fof(c_0_20, plain, ![X33, X34]:((~r1_surrealo(X33,X34)|r5_surreal0(X33,X34)|(~v2_surreal0(X33)|~v2_surreal0(X34)))&(~r5_surreal0(X33,X34)|r1_surrealo(X33,X34)|(~v2_surreal0(X33)|~v2_surreal0(X34)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
fof(c_0_21, plain, ![X24, X25]:(~v2_surreal0(X24)|~v2_surreal0(X25)|(r1_surrealo(X24,X25)|r1_surrealo(X25,X24))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_r1_surrealo])])).
fof(c_0_22, negated_conjecture, (v3_ordinal1(esk1_0)&(v3_ordinal1(esk2_0)&((r5_surreal0(k8_surrealn(esk2_0),k8_surrealn(esk1_0))|~r2_tarski(esk1_0,esk2_0))&(~r5_surreal0(k8_surrealn(esk2_0),k8_surrealn(esk1_0))|r2_tarski(esk1_0,esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
cnf(c_0_23, plain, (r2_tarski(X1,X2)|~v1_ordinal1(X1)|~v3_ordinal1(X2)|~r2_xboole_0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_24, plain, (X1=X2|r2_xboole_0(X1,X2)|r2_tarski(X2,X1)|~v3_ordinal1(X2)|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_25, plain, (v1_ordinal1(X1)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_26, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_27, plain, (r1_surrealo(X1,X2)|r1_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
fof(c_0_28, plain, ![X29, X30]:(~v3_ordinal1(X29)|(~v3_ordinal1(X30)|(~r2_tarski(X29,X30)|~r5_surreal0(k8_surrealn(X30),k8_surrealn(X29))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l101_surrealn])])])).
cnf(c_0_29, negated_conjecture, (r5_surreal0(k8_surrealn(esk2_0),k8_surrealn(esk1_0))|~r2_tarski(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_30, plain, (X1=X2|r2_tarski(X2,X1)|r2_tarski(X1,X2)|~v3_ordinal1(X2)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25])).
cnf(c_0_31, negated_conjecture, (v3_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_32, negated_conjecture, (v3_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_33, plain, (r1_surrealo(X1,X2)|r5_surreal0(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
fof(c_0_34, plain, ![X28]:(~v3_ordinal1(X28)|v2_surreal0(k8_surrealn(X28))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc23_surrealn])])).
cnf(c_0_35, plain, (~v3_ordinal1(X1)|~v3_ordinal1(X2)|~r2_tarski(X1,X2)|~r5_surreal0(k8_surrealn(X2),k8_surrealn(X1))), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_36, negated_conjecture, (esk1_0=esk2_0|r2_tarski(esk2_0,esk1_0)|r5_surreal0(k8_surrealn(esk2_0),k8_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31]), c_0_32])])).
cnf(c_0_37, plain, (r5_surreal0(X1,X2)|r5_surreal0(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_26, c_0_33])).
cnf(c_0_38, plain, (v2_surreal0(k8_surrealn(X1))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_39, negated_conjecture, (esk1_0=esk2_0|r2_tarski(esk2_0,esk1_0)|~r2_tarski(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_31]), c_0_32])])).
cnf(c_0_40, plain, (r5_surreal0(k8_surrealn(X1),k8_surrealn(X2))|~r2_tarski(X1,X2)|~v3_ordinal1(X2)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_37]), c_0_38]), c_0_38])).
cnf(c_0_41, negated_conjecture, (esk1_0=esk2_0|r2_tarski(esk2_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_30]), c_0_31]), c_0_32])])).
cnf(c_0_42, negated_conjecture, (esk1_0=esk2_0|r5_surreal0(k8_surrealn(esk2_0),k8_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_32]), c_0_31])])).
cnf(c_0_43, negated_conjecture, (r2_tarski(esk1_0,esk2_0)|~r5_surreal0(k8_surrealn(esk2_0),k8_surrealn(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_44, negated_conjecture, (esk1_0=esk2_0|~r2_tarski(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_42]), c_0_31]), c_0_32])])).
cnf(c_0_45, negated_conjecture, (esk1_0=esk2_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_42]), c_0_44])).
cnf(c_0_46, plain, (r1_surrealo(X1,X1)|~v2_surreal0(X1)), inference(ef,[status(thm)],[c_0_27])).
cnf(c_0_47, negated_conjecture, (r2_tarski(esk2_0,esk2_0)|~r5_surreal0(k8_surrealn(esk2_0),k8_surrealn(esk2_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_45]), c_0_45])).
cnf(c_0_48, plain, (r5_surreal0(X1,X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_26, c_0_46])).
cnf(c_0_49, negated_conjecture, (r2_tarski(esk2_0,esk2_0)|~v2_surreal0(k8_surrealn(esk2_0))), inference(spm,[status(thm)],[c_0_47, c_0_48])).
cnf(c_0_50, plain, (~r2_tarski(X1,X1)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_48]), c_0_38])).
cnf(c_0_51, negated_conjecture, (r2_tarski(esk2_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_38]), c_0_31])])).
cnf(c_0_52, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_31])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 53
# Proof object clause steps            : 32
# Proof object formula steps           : 21
# Proof object conjectures             : 17
# Proof object clause conjectures      : 14
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 13
# Proof object initial formulas used   : 10
# Proof object generating inferences   : 18
# Proof object simplifying inferences  : 26
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 10
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 18
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 18
# Processed clauses                    : 66
# ...of these trivial                  : 0
# ...subsumed                          : 10
# ...remaining for further processing  : 56
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 8
# Generated clauses                    : 44
# ...of the previous two non-trivial   : 42
# Contextual simplify-reflections      : 5
# Paramodulations                      : 37
# Factorizations                       : 6
# NegExts                              : 0
# Equation resolutions                 : 1
# 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  : 27
#    Positive orientable unit clauses  : 3
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 23
# Current number of unprocessed clauses: 7
# ...number of literals in the above   : 29
# Current number of archived formulas  : 0
# Current number of archived clauses   : 28
# Clause-clause subsumption calls (NU) : 370
# Rec. Clause-clause subsumption calls : 131
# Non-unit clause-clause subsumptions  : 17
# 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          : 2134

# -------------------------------------------------
# User time                : 0.023 s
# System time              : 0.000 s
# Total time               : 0.023 s
# Maximum resident set size: 2948 pages
