# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S04CN
# and selection function MSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t27_surreali, conjecture, ![X1]:(v2_surreal0(X1)=>![X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>~(((k9_xtuple_0(X2)=k4_ordinal1&r2_tarski(X1,k3_card_3(X2)))&![X3]:(v7_ordinal1(X3)=>~((r2_tarski(X1,k1_funct_1(X2,X3))&![X4]:(v7_ordinal1(X4)=>(r2_tarski(X1,k1_funct_1(X2,X4))=>r1_xxreal_0(X3,X4)))))))))), file('surreali/surreali__t27_surreali', t27_surreali)).
fof(s5_nat_1__e7_44__surreali, axiom, ![X1, X2]:(((v2_surreal0(X1)&v1_relat_1(X2))&v1_funct_1(X2))=>(?[X3]:(v7_ordinal1(X3)&r2_tarski(X1,k1_funct_1(X2,X3)))=>?[X3]:((v7_ordinal1(X3)&r2_tarski(X1,k1_funct_1(X2,X3)))&![X4]:(v7_ordinal1(X4)=>(r2_tarski(X1,k1_funct_1(X2,X4))=>r1_xxreal_0(X3,X4)))))), file('surreali/surreali__t27_surreali', s5_nat_1__e7_44__surreali)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('surreali/surreali__t27_surreali', redefinition_r2_tarski)).
fof(t2_card_5, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>(r2_hidden(X1,k3_card_3(X2))<=>?[X3]:(r2_hidden(X3,k9_xtuple_0(X2))&r2_hidden(X1,k1_funct_1(X2,X3))))), file('surreali/surreali__t27_surreali', t2_card_5)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('surreali/surreali__t27_surreali', cc8_ordinal1)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('surreali/surreali__t27_surreali', t1_subset)).
fof(c_0_6, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>~(((k9_xtuple_0(X2)=k4_ordinal1&r2_tarski(X1,k3_card_3(X2)))&![X3]:(v7_ordinal1(X3)=>~((r2_tarski(X1,k1_funct_1(X2,X3))&![X4]:(v7_ordinal1(X4)=>(r2_tarski(X1,k1_funct_1(X2,X4))=>r1_xxreal_0(X3,X4))))))))))), inference(assume_negation,[status(cth)],[t27_surreali])).
fof(c_0_7, plain, ![X29, X30, X31, X33]:(((v7_ordinal1(esk4_2(X29,X30))|(~v7_ordinal1(X31)|~r2_tarski(X29,k1_funct_1(X30,X31)))|(~v2_surreal0(X29)|~v1_relat_1(X30)|~v1_funct_1(X30)))&(r2_tarski(X29,k1_funct_1(X30,esk4_2(X29,X30)))|(~v7_ordinal1(X31)|~r2_tarski(X29,k1_funct_1(X30,X31)))|(~v2_surreal0(X29)|~v1_relat_1(X30)|~v1_funct_1(X30))))&(~v7_ordinal1(X33)|(~r2_tarski(X29,k1_funct_1(X30,X33))|r1_xxreal_0(esk4_2(X29,X30),X33))|(~v7_ordinal1(X31)|~r2_tarski(X29,k1_funct_1(X30,X31)))|(~v2_surreal0(X29)|~v1_relat_1(X30)|~v1_funct_1(X30)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s5_nat_1__e7_44__surreali])])])])])).
fof(c_0_8, negated_conjecture, ![X24]:(v2_surreal0(esk1_0)&((v1_relat_1(esk2_0)&v1_funct_1(esk2_0))&((k9_xtuple_0(esk2_0)=k4_ordinal1&r2_tarski(esk1_0,k3_card_3(esk2_0)))&((v7_ordinal1(esk3_1(X24))|~r2_tarski(esk1_0,k1_funct_1(esk2_0,X24))|~v7_ordinal1(X24))&((r2_tarski(esk1_0,k1_funct_1(esk2_0,esk3_1(X24)))|~r2_tarski(esk1_0,k1_funct_1(esk2_0,X24))|~v7_ordinal1(X24))&(~r1_xxreal_0(X24,esk3_1(X24))|~r2_tarski(esk1_0,k1_funct_1(esk2_0,X24))|~v7_ordinal1(X24))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])).
cnf(c_0_9, plain, (r1_xxreal_0(esk4_2(X2,X3),X1)|~v7_ordinal1(X1)|~r2_tarski(X2,k1_funct_1(X3,X1))|~v7_ordinal1(X4)|~r2_tarski(X2,k1_funct_1(X3,X4))|~v2_surreal0(X2)|~v1_relat_1(X3)|~v1_funct_1(X3)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_10, negated_conjecture, (r2_tarski(esk1_0,k1_funct_1(esk2_0,esk3_1(X1)))|~r2_tarski(esk1_0,k1_funct_1(esk2_0,X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_11, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_12, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_13, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_14, negated_conjecture, (v7_ordinal1(esk3_1(X1))|~r2_tarski(esk1_0,k1_funct_1(esk2_0,X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_8])).
fof(c_0_15, plain, ![X27, X28]:((~r2_tarski(X27,X28)|r2_hidden(X27,X28))&(~r2_hidden(X27,X28)|r2_tarski(X27,X28))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_16, plain, ![X36, X37, X39]:(((r2_hidden(esk5_2(X36,X37),k9_xtuple_0(X37))|~r2_hidden(X36,k3_card_3(X37))|(~v1_relat_1(X37)|~v1_funct_1(X37)))&(r2_hidden(X36,k1_funct_1(X37,esk5_2(X36,X37)))|~r2_hidden(X36,k3_card_3(X37))|(~v1_relat_1(X37)|~v1_funct_1(X37))))&(~r2_hidden(X39,k9_xtuple_0(X37))|~r2_hidden(X36,k1_funct_1(X37,X39))|r2_hidden(X36,k3_card_3(X37))|(~v1_relat_1(X37)|~v1_funct_1(X37)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_card_5])])])])])).
cnf(c_0_17, negated_conjecture, (r1_xxreal_0(esk4_2(esk1_0,esk2_0),X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)|~r2_tarski(esk1_0,k1_funct_1(esk2_0,X1))|~r2_tarski(esk1_0,k1_funct_1(esk2_0,X2))), 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_9, c_0_10]), c_0_11]), c_0_12]), c_0_13])]), c_0_14])).
cnf(c_0_18, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_19, plain, (r2_hidden(X1,k1_funct_1(X2,esk5_2(X1,X2)))|~r2_hidden(X1,k3_card_3(X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_20, plain, (r2_tarski(X1,k1_funct_1(X2,esk4_2(X1,X2)))|~v7_ordinal1(X3)|~r2_tarski(X1,k1_funct_1(X2,X3))|~v2_surreal0(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_21, plain, (v7_ordinal1(esk4_2(X1,X2))|~v7_ordinal1(X3)|~r2_tarski(X1,k1_funct_1(X2,X3))|~v2_surreal0(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_22, negated_conjecture, (r1_xxreal_0(esk4_2(esk1_0,esk2_0),esk3_1(X1))|~v7_ordinal1(X2)|~v7_ordinal1(X1)|~r2_tarski(esk1_0,k1_funct_1(esk2_0,X2))|~r2_tarski(esk1_0,k1_funct_1(esk2_0,X1))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_10]), c_0_14])).
cnf(c_0_23, plain, (r2_tarski(X1,k1_funct_1(X2,esk5_2(X1,X2)))|~r2_hidden(X1,k3_card_3(X2))|~v1_funct_1(X2)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_18, c_0_19])).
cnf(c_0_24, negated_conjecture, (r2_tarski(esk1_0,k1_funct_1(esk2_0,esk4_2(esk1_0,esk2_0)))|~v7_ordinal1(X1)|~r2_tarski(esk1_0,k1_funct_1(esk2_0,X1))), 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_20, c_0_10]), c_0_11]), c_0_12]), c_0_13])]), c_0_14])).
cnf(c_0_25, negated_conjecture, (v7_ordinal1(esk4_2(esk1_0,esk2_0))|~v7_ordinal1(X1)|~r2_tarski(esk1_0,k1_funct_1(esk2_0,X1))), 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_21, c_0_10]), c_0_11]), c_0_12]), c_0_13])]), c_0_14])).
cnf(c_0_26, negated_conjecture, (~r1_xxreal_0(X1,esk3_1(X1))|~r2_tarski(esk1_0,k1_funct_1(esk2_0,X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_27, negated_conjecture, (r1_xxreal_0(esk4_2(esk1_0,esk2_0),esk3_1(X1))|~r2_hidden(esk1_0,k3_card_3(esk2_0))|~v7_ordinal1(esk5_2(esk1_0,esk2_0))|~v7_ordinal1(X1)|~r2_tarski(esk1_0,k1_funct_1(esk2_0,X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_11]), c_0_12])])).
cnf(c_0_28, negated_conjecture, (r2_tarski(esk1_0,k1_funct_1(esk2_0,esk4_2(esk1_0,esk2_0)))|~r2_hidden(esk1_0,k3_card_3(esk2_0))|~v7_ordinal1(esk5_2(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_23]), c_0_11]), c_0_12])])).
cnf(c_0_29, negated_conjecture, (v7_ordinal1(esk4_2(esk1_0,esk2_0))|~r2_hidden(esk1_0,k3_card_3(esk2_0))|~v7_ordinal1(esk5_2(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_23]), c_0_11]), c_0_12])])).
fof(c_0_30, plain, ![X26]:(~m1_subset_1(X26,k4_ordinal1)|v7_ordinal1(X26)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_31, plain, (r2_hidden(esk5_2(X1,X2),k9_xtuple_0(X2))|~r2_hidden(X1,k3_card_3(X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_32, negated_conjecture, (k9_xtuple_0(esk2_0)=k4_ordinal1), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_33, negated_conjecture, (~r2_hidden(esk1_0,k3_card_3(esk2_0))|~v7_ordinal1(esk5_2(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28]), c_0_29])).
cnf(c_0_34, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_30])).
fof(c_0_35, plain, ![X34, X35]:(~r2_tarski(X34,X35)|m1_subset_1(X34,X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
cnf(c_0_36, negated_conjecture, (r2_hidden(esk5_2(X1,esk2_0),k4_ordinal1)|~r2_hidden(X1,k3_card_3(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_11]), c_0_12])])).
cnf(c_0_37, negated_conjecture, (~r2_hidden(esk1_0,k3_card_3(esk2_0))|~m1_subset_1(esk5_2(esk1_0,esk2_0),k4_ordinal1)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_38, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_39, negated_conjecture, (r2_tarski(esk5_2(X1,esk2_0),k4_ordinal1)|~r2_hidden(X1,k3_card_3(esk2_0))), inference(spm,[status(thm)],[c_0_18, c_0_36])).
cnf(c_0_40, negated_conjecture, (~r2_hidden(esk1_0,k3_card_3(esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])).
cnf(c_0_41, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_42, negated_conjecture, (r2_tarski(esk1_0,k3_card_3(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_43, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 44
# Proof object clause steps            : 31
# Proof object formula steps           : 13
# Proof object conjectures             : 24
# Proof object clause conjectures      : 21
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 17
# Proof object initial formulas used   : 6
# Proof object generating inferences   : 14
# Proof object simplifying inferences  : 33
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 18
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 18
# Processed clauses                    : 64
# ...of these trivial                  : 0
# ...subsumed                          : 8
# ...remaining for further processing  : 56
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 3
# Backward-rewritten                   : 0
# Generated clauses                    : 48
# ...of the previous two non-trivial   : 38
# Contextual simplify-reflections      : 7
# Paramodulations                      : 48
# 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  : 35
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 29
# Current number of unprocessed clauses: 7
# ...number of literals in the above   : 47
# Current number of archived formulas  : 0
# Current number of archived clauses   : 21
# Clause-clause subsumption calls (NU) : 340
# Rec. Clause-clause subsumption calls : 116
# Non-unit clause-clause subsumptions  : 18
# Unit Clause-clause subsumption calls : 3
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 3068

# -------------------------------------------------
# User time                : 0.016 s
# System time              : 0.010 s
# Total time               : 0.026 s
# Maximum resident set size: 2936 pages
