0.00/0.01	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.02	% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.03/0.30	% Computer : n012.cluster.edu
0.03/0.30	% Model    : x86_64 x86_64
0.03/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.03/0.30	% Memory   : 8046.5625MB
0.03/0.30	% OS       : Linux 6.8.0-71-generic
0.03/0.30	% CPULimit : 1440
0.03/0.30	% WCLimit  : 180
0.03/0.30	% DateTime : Mon Jul 27 11:44:03 UTC 2026
0.03/0.30	% CPUTime  : 
0.03/0.30	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.03/0.32	Running higher-order theorem proving
0.06/0.33	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.gGjvoTh94i/E---3.1_1972966.p
0.06/0.34	% Version: 3.5.1-ho
0.06/0.34	% Preprocessing class: HSSSSMSSMLSNHSN.
0.06/0.34	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.06/0.34	% Starting new_ho_9 with 900s (5) cores
0.06/0.34	% Starting post_as_ho1 with 180s (1) cores
0.06/0.34	% Starting sh1l with 180s (1) cores
0.06/0.34	% Starting post_as_ho10 with 180s (1) cores
0.06/0.34	% post_as_ho1 with pid 1972980 completed with status 0
0.06/0.34	% Result found by post_as_ho1
0.06/0.34	% Preprocessing class: HSSSSMSSMLSNHSN.
0.06/0.34	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.06/0.34	% Starting new_ho_9 with 900s (5) cores
0.06/0.34	% Starting post_as_ho1 with 180s (1) cores
0.06/0.34	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.06/0.34	% No SInE strategy applied
0.06/0.34	% Search class: HGHSF-FFSM33-SHSSMFNN
0.06/0.34	% partial match(3): HGHNF-FFSM00-SHSSMFNN
0.06/0.34	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.06/0.34	% Starting SubtermCWHack with 17s (1) cores
0.06/0.34	% SubtermCWHack with pid 1972985 completed with status 0
0.06/0.34	% Result found by SubtermCWHack
0.06/0.34	% Preprocessing class: HSSSSMSSMLSNHSN.
0.06/0.34	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.06/0.34	% Starting new_ho_9 with 900s (5) cores
0.06/0.34	% Starting post_as_ho1 with 180s (1) cores
0.06/0.34	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.06/0.34	% No SInE strategy applied
0.06/0.34	% Search class: HGHSF-FFSM33-SHSSMFNN
0.06/0.34	% partial match(3): HGHNF-FFSM00-SHSSMFNN
0.06/0.34	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.06/0.34	% Starting SubtermCWHack with 17s (1) cores
0.06/0.34	% Preprocessing time       : 0.001 s
0.06/0.34	
0.06/0.34	% Proof found!
0.06/0.34	% SZS status Theorem
0.06/0.34	% SZS output start CNFRefutation
0.06/0.34	thf(decl_28, type, union: ($i > $o) > ($i > $o) > $i > $o).
0.06/0.34	thf(decl_37, type, fun_image: ($i > $i) > ($i > $o) > $i > $o).
0.06/0.34	thf(decl_45, type, epred1_0: $i > $o).
0.06/0.34	thf(decl_46, type, epred2_0: $i > $o).
0.06/0.34	thf(decl_47, type, esk1_0: $i > $i).
0.06/0.34	thf(decl_48, type, esk2_0: $i).
0.06/0.34	thf(decl_49, type, esk3_0: $i).
0.06/0.34	thf(decl_50, type, esk4_0: $i).
0.06/0.34	thf(decl_51, type, esk5_0: $i).
0.06/0.34	thf(thm, conjecture, ![X27:$i > $o, X28:$i > $o, X22:$i > $i]:(((fun_image @ X22 @ (union @ X27 @ X28))=(union @ (fun_image @ X22 @ X27) @ (fun_image @ X22 @ X28)))), file('/export/starexec/sandbox2/tmp/tmp.gGjvoTh94i/E---3.1_1972966.p', thm)).
0.06/0.34	thf(union, axiom, ((union)=(^[X5:$i > $o, X6:$i > $o, X4:$i]:((((X5 @ X4))|((X6 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.gGjvoTh94i/E---3.1_1972966.p', union)).
0.06/0.34	thf(fun_image, axiom, ((fun_image)=(^[X22:$i > $i, X23:$i > $o, X3:$i]:(?[X1:$i]:((((X23 @ X1))&(((X3)=(X22 @ X1)))))))), file('/export/starexec/sandbox2/tmp/tmp.gGjvoTh94i/E---3.1_1972966.p', fun_image)).
0.06/0.34	thf(c_0_3, negated_conjecture, ~(![X27:$i > $o, X28:$i > $o, X22:$i > $i]:(((fun_image @ X22 @ (union @ X27 @ X28))=(union @ (fun_image @ X22 @ X27) @ (fun_image @ X22 @ X28))))), inference(assume_negation,[status(cth)],[thm])).
0.06/0.34	thf(c_0_4, plain, ((union)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[union])).
0.06/0.34	thf(c_0_5, plain, ((fun_image)=(^[Z0:$i > $i, Z1:$i > $o, Z2:$i]:(?[X1:$i]:((((Z1 @ X1))&(((Z2)=(Z0 @ X1)))))))), inference(fof_simplification,[status(thm)],[fun_image])).
0.06/0.34	thf(c_0_6, negated_conjecture, ~(![X27:$i > $o, X28:$i > $o, X22:$i > $i, X42:$i]:((?[X36:$i]:((((X27 @ X36)|(X28 @ X36))&((X42)=(X22 @ X36))))<=>(?[X37:$i]:(((X27 @ X37)&((X42)=(X22 @ X37))))|?[X38:$i]:(((X28 @ X38)&((X42)=(X22 @ X38)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_3, c_0_4]), c_0_5])])).
0.06/0.34	thf(c_0_7, negated_conjecture, ![X50:$i, X51:$i, X52:$i]:(((((~(epred1_0 @ X51)|((esk2_0)!=(esk1_0 @ X51))|(~(epred1_0 @ X50)|((esk2_0)!=(esk1_0 @ X50))))&(~(epred2_0 @ X52)|((esk2_0)!=(esk1_0 @ X52))|(~(epred1_0 @ X50)|((esk2_0)!=(esk1_0 @ X50)))))&((~(epred1_0 @ X51)|((esk2_0)!=(esk1_0 @ X51))|(~(epred2_0 @ X50)|((esk2_0)!=(esk1_0 @ X50))))&(~(epred2_0 @ X52)|((esk2_0)!=(esk1_0 @ X52))|(~(epred2_0 @ X50)|((esk2_0)!=(esk1_0 @ X50))))))&(((((epred2_0 @ esk5_0)|(epred1_0 @ esk4_0)|((epred1_0 @ esk3_0)|(epred2_0 @ esk3_0)))&(((esk2_0)=(esk1_0 @ esk5_0))|(epred1_0 @ esk4_0)|((epred1_0 @ esk3_0)|(epred2_0 @ esk3_0))))&(((epred2_0 @ esk5_0)|((esk2_0)=(esk1_0 @ esk4_0))|((epred1_0 @ esk3_0)|(epred2_0 @ esk3_0)))&(((esk2_0)=(esk1_0 @ esk5_0))|((esk2_0)=(esk1_0 @ esk4_0))|((epred1_0 @ esk3_0)|(epred2_0 @ esk3_0)))))&((((epred2_0 @ esk5_0)|(epred1_0 @ esk4_0)|((esk2_0)=(esk1_0 @ esk3_0)))&(((esk2_0)=(esk1_0 @ esk5_0))|(epred1_0 @ esk4_0)|((esk2_0)=(esk1_0 @ esk3_0))))&(((epred2_0 @ esk5_0)|((esk2_0)=(esk1_0 @ esk4_0))|((esk2_0)=(esk1_0 @ esk3_0)))&(((esk2_0)=(esk1_0 @ esk5_0))|((esk2_0)=(esk1_0 @ esk4_0))|((esk2_0)=(esk1_0 @ esk3_0)))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])])).
0.06/0.34	thf(c_0_8, negated_conjecture, ![X1:$i, X3:$i]:((~((epred1_0 @ X1))|((esk2_0)!=(esk1_0 @ X1))|~((epred1_0 @ X3))|((esk2_0)!=(esk1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
0.06/0.34	thf(c_0_9, negated_conjecture, ((epred2_0 @ esk5_0)|(epred1_0 @ esk4_0)|(epred1_0 @ esk3_0)|(epred2_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
0.06/0.34	thf(c_0_10, negated_conjecture, ((epred2_0 @ esk5_0)|((esk2_0)=(esk1_0 @ esk4_0))|(epred1_0 @ esk3_0)|(epred2_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
0.06/0.34	thf(c_0_11, negated_conjecture, ((epred2_0 @ esk5_0)|(epred1_0 @ esk4_0)|((esk2_0)=(esk1_0 @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
0.06/0.34	thf(c_0_12, negated_conjecture, ((epred2_0 @ esk5_0)|((esk2_0)=(esk1_0 @ esk4_0))|((esk2_0)=(esk1_0 @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
0.06/0.34	thf(c_0_13, negated_conjecture, ![X1:$i]:(((epred1_0 @ esk3_0)|(epred2_0 @ esk3_0)|(epred2_0 @ esk5_0)|((esk1_0 @ X1)!=(esk2_0))|~((epred1_0 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10])).
0.06/0.34	thf(c_0_14, negated_conjecture, ![X1:$i]:((((esk1_0 @ esk3_0)=(esk2_0))|(epred2_0 @ esk5_0)|((esk1_0 @ X1)!=(esk2_0))|~((epred1_0 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_11]), c_0_12])).
0.06/0.34	thf(c_0_15, negated_conjecture, ((epred2_0 @ esk5_0)|(epred2_0 @ esk3_0)|(epred1_0 @ esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_9]), c_0_10])).
0.06/0.34	thf(c_0_16, negated_conjecture, (((esk1_0 @ esk3_0)=(esk2_0))|(epred2_0 @ esk5_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_11]), c_0_12])).
0.06/0.34	thf(c_0_17, negated_conjecture, ![X1:$i]:(((epred2_0 @ esk3_0)|(epred2_0 @ esk5_0)|((esk1_0 @ X1)!=(esk2_0))|~((epred1_0 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_15]), c_0_16])).
0.06/0.34	thf(c_0_18, negated_conjecture, ![X1:$i, X3:$i]:((~((epred2_0 @ X1))|((esk2_0)!=(esk1_0 @ X1))|~((epred2_0 @ X3))|((esk2_0)!=(esk1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
0.06/0.34	thf(c_0_19, negated_conjecture, ((epred2_0 @ esk5_0)|(epred2_0 @ esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_15]), c_0_16])).
0.06/0.34	thf(c_0_20, negated_conjecture, ![X1:$i]:(((epred2_0 @ esk3_0)|((esk1_0 @ esk5_0)!=(esk2_0))|((esk1_0 @ X1)!=(esk2_0))|~((epred2_0 @ X1)))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
0.06/0.34	thf(c_0_21, negated_conjecture, ![X1:$i]:((((esk1_0 @ esk3_0)=(esk2_0))|((esk1_0 @ esk5_0)!=(esk2_0))|((esk1_0 @ X1)!=(esk2_0))|~((epred2_0 @ X1)))), inference(spm,[status(thm)],[c_0_18, c_0_16])).
0.06/0.34	thf(c_0_22, negated_conjecture, (((esk2_0)=(esk1_0 @ esk5_0))|(epred1_0 @ esk4_0)|(epred1_0 @ esk3_0)|(epred2_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
0.06/0.34	thf(c_0_23, negated_conjecture, (((esk2_0)=(esk1_0 @ esk5_0))|((esk2_0)=(esk1_0 @ esk4_0))|(epred1_0 @ esk3_0)|(epred2_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
0.06/0.34	thf(c_0_24, negated_conjecture, ((epred2_0 @ esk3_0)|((esk1_0 @ esk5_0)!=(esk2_0))), inference(spm,[status(thm)],[c_0_20, c_0_19])).
0.06/0.34	thf(c_0_25, negated_conjecture, (((esk1_0 @ esk3_0)=(esk2_0))|((esk1_0 @ esk5_0)!=(esk2_0))), inference(spm,[status(thm)],[c_0_21, c_0_16])).
0.06/0.34	thf(c_0_26, negated_conjecture, ![X1:$i]:((((esk1_0 @ esk5_0)=(esk2_0))|(epred1_0 @ esk3_0)|(epred2_0 @ esk3_0)|((esk1_0 @ X1)!=(esk2_0))|~((epred1_0 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_22]), c_0_23])).
0.06/0.34	thf(c_0_27, negated_conjecture, ![X1:$i]:((((esk1_0 @ esk5_0)!=(esk2_0))|((esk1_0 @ X1)!=(esk2_0))|~((epred2_0 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_24]), c_0_25])).
0.06/0.34	thf(c_0_28, negated_conjecture, (((esk1_0 @ esk5_0)=(esk2_0))|(epred2_0 @ esk3_0)|(epred1_0 @ esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_22]), c_0_23])).
0.06/0.34	thf(c_0_29, negated_conjecture, ((esk1_0 @ esk5_0)!=(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_24]), c_0_25])).
0.06/0.34	thf(c_0_30, negated_conjecture, ((epred1_0 @ esk3_0)|(epred2_0 @ esk3_0)), inference(sr,[status(thm)],[c_0_28, c_0_29])).
0.06/0.34	thf(c_0_31, negated_conjecture, ![X1:$i, X3:$i]:((~((epred2_0 @ X1))|((esk2_0)!=(esk1_0 @ X1))|~((epred1_0 @ X3))|((esk2_0)!=(esk1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
0.06/0.34	thf(c_0_32, negated_conjecture, ![X1:$i]:((((esk1_0 @ esk3_0)!=(esk2_0))|((esk1_0 @ X1)!=(esk2_0))|~((epred1_0 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_30]), c_0_31])).
0.06/0.34	thf(c_0_33, negated_conjecture, ((epred2_0 @ esk3_0)|((esk1_0 @ esk3_0)!=(esk2_0))), inference(spm,[status(thm)],[c_0_32, c_0_30])).
0.06/0.34	thf(c_0_34, negated_conjecture, (((esk2_0)=(esk1_0 @ esk5_0))|(epred1_0 @ esk4_0)|((esk2_0)=(esk1_0 @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
0.06/0.34	thf(c_0_35, negated_conjecture, ![X1:$i]:((((esk1_0 @ esk3_0)!=(esk2_0))|((esk1_0 @ X1)!=(esk2_0))|~((epred2_0 @ X1)))), inference(spm,[status(thm)],[c_0_18, c_0_33])).
0.06/0.34	thf(c_0_36, negated_conjecture, (((esk2_0)=(esk1_0 @ esk5_0))|((esk2_0)=(esk1_0 @ esk4_0))|((esk2_0)=(esk1_0 @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
0.06/0.34	thf(c_0_37, negated_conjecture, (((esk1_0 @ esk3_0)=(esk2_0))|(epred1_0 @ esk4_0)), inference(sr,[status(thm)],[c_0_34, c_0_29])).
0.06/0.34	thf(c_0_38, negated_conjecture, ((esk1_0 @ esk3_0)!=(esk2_0)), inference(spm,[status(thm)],[c_0_35, c_0_33])).
0.06/0.34	thf(c_0_39, negated_conjecture, (((esk1_0 @ esk4_0)=(esk2_0))|((esk1_0 @ esk3_0)=(esk2_0))), inference(spm,[status(thm)],[c_0_25, c_0_36])).
0.06/0.34	thf(c_0_40, negated_conjecture, (epred1_0 @ esk4_0), inference(sr,[status(thm)],[c_0_37, c_0_38])).
0.06/0.34	thf(c_0_41, negated_conjecture, ((esk1_0 @ esk4_0)=(esk2_0)), inference(sr,[status(thm)],[c_0_39, c_0_38])).
0.06/0.34	thf(c_0_42, negated_conjecture, ![X1:$i]:((((esk1_0 @ X1)!=(esk2_0))|~((epred1_0 @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_40]), c_0_41])])).
0.06/0.34	thf(c_0_43, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_40]), c_0_41])]), ['proof']).
0.06/0.34	% SZS output end CNFRefutation
0.06/0.34	% Parsed axioms                        : 45
0.06/0.34	% Removed by relevancy pruning/SinE    : 0
0.06/0.34	% Initial clauses                      : 35
0.06/0.34	% Removed in clause preprocessing      : 22
0.06/0.34	% Initial clauses in saturation        : 13
0.06/0.34	% Processed clauses                    : 41
0.06/0.34	% ...of these trivial                  : 0
0.06/0.34	% ...subsumed                          : 4
0.06/0.34	% ...remaining for further processing  : 37
0.06/0.34	% Other redundant clauses eliminated   : 0
0.06/0.34	% Clauses deleted for lack of memory   : 0
0.06/0.34	% Backward-subsumed                    : 23
0.06/0.34	% Backward-rewritten                   : 0
0.06/0.34	% Generated clauses                    : 66
0.06/0.34	% ...of the previous two non-redundant : 60
0.06/0.34	% ...aggressively subsumed             : 0
0.06/0.34	% Contextual simplify-reflections      : 11
0.06/0.34	% Paramodulations                      : 61
0.06/0.34	% Factorizations                       : 0
0.06/0.34	% NegExts                              : 0
0.06/0.34	% Equation resolutions                 : 0
0.06/0.34	% Disequality decompositions           : 0
0.06/0.34	% Total rewrite steps                  : 2
0.06/0.34	% ...of those cached                   : 0
0.06/0.34	% Propositional unsat checks           : 0
0.06/0.34	%    Propositional check models        : 0
0.06/0.34	%    Propositional check unsatisfiable : 0
0.06/0.34	%    Propositional clauses             : 0
0.06/0.34	%    Propositional clauses after purity: 0
0.06/0.34	%    Propositional unsat core size     : 0
0.06/0.34	%    Propositional preprocessing time  : 0.000
0.06/0.34	%    Propositional encoding time       : 0.000
0.06/0.34	%    Propositional solver time         : 0.000
0.06/0.34	%    Success case prop preproc time    : 0.000
0.06/0.34	%    Success case prop encoding time   : 0.000
0.06/0.34	%    Success case prop solver time     : 0.000
0.06/0.34	% Current number of processed clauses  : 9
0.06/0.34	%    Positive orientable unit clauses  : 4
0.06/0.34	%    Positive unorientable unit clauses: 0
0.06/0.34	%    Negative unit clauses             : 2
0.06/0.34	%    Non-unit-clauses                  : 3
0.06/0.34	% Current number of unprocessed clauses: 4
0.06/0.34	% ...number of literals in the above   : 15
0.06/0.34	% Current number of archived formulas  : 0
0.06/0.34	% Current number of archived clauses   : 28
0.06/0.34	% Clause-clause subsumption calls (NU) : 83
0.06/0.34	% Rec. Clause-clause subsumption calls : 37
0.06/0.34	% Non-unit clause-clause subsumptions  : 30
0.06/0.34	% Unit Clause-clause subsumption calls : 14
0.06/0.34	% Rewrite failures with RHS unbound    : 0
0.06/0.34	% BW rewrite match attempts            : 1
0.06/0.34	% BW rewrite match successes           : 1
0.06/0.34	% Condensation attempts                : 0
0.06/0.34	% Condensation successes               : 0
0.06/0.34	% Termbank termtop insertions          : 2805
0.06/0.34	% Search garbage collected termcells   : 379
0.06/0.34	
0.06/0.34	% -------------------------------------------------
0.06/0.34	% User time                : 0.004 s
0.06/0.34	% System time              : 0.001 s
0.06/0.34	% Total time               : 0.005 s
0.06/0.34	% Maximum resident set size: 3680 pages
0.06/0.34	
0.06/0.34	% -------------------------------------------------
0.06/0.34	% User time                : 0.005 s
0.06/0.34	% System time              : 0.004 s
0.06/0.34	% Total time               : 0.009 s
0.06/0.34	% Maximum resident set size: 4864 pages
0.06/0.34	% E exiting
0.06/0.34	EOF