0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.11/0.37	% Computer : n013.cluster.edu
0.11/0.37	% Model    : x86_64 x86_64
0.11/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.37	% Memory   : 8046.5625MB
0.11/0.37	% OS       : Linux 6.8.0-71-generic
0.11/0.37	% CPULimit : 1440
0.11/0.37	% WCLimit  : 180
0.11/0.37	% DateTime : Mon Jul 27 08:56:13 UTC 2026
0.11/0.37	% CPUTime  : 
0.11/0.37	Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.11/0.42	Running higher-order theorem proving
0.11/0.42	Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.oJS9FTqJS7/E---3.1_1238078.p
0.11/0.45	% Version: 3.5.1-ho
0.11/0.45	% Preprocessing class: HSSSSLSSSLMNHSA.
0.11/0.45	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.11/0.45	% Starting new_ho_10 with 900s (5) cores
0.11/0.45	% Starting new_ho_7 with 180s (1) cores
0.11/0.45	% Starting lpo8_lambda_fix with 180s (1) cores
0.11/0.45	% Starting lpo9_lambda_fix with 180s (1) cores
0.11/0.45	% new_ho_7 with pid 1238101 completed with status 0
0.11/0.45	% Result found by new_ho_7
0.11/0.45	% Preprocessing class: HSSSSLSSSLMNHSA.
0.11/0.45	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.11/0.45	% Starting new_ho_10 with 900s (5) cores
0.11/0.45	% Starting new_ho_7 with 180s (1) cores
0.11/0.45	% (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,3,,5,20000,1.0,true))
0.11/0.45	% SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
0.11/0.45	% Search class: HGUSF-FFSS22-DHSFMSBN
0.11/0.45	% partial match(3): HGUNF-FFSS22-SHSSMSBN
0.11/0.45	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.11/0.45	% Starting SubtermCWHack with 17s (1) cores
0.11/0.45	% SubtermCWHack with pid 1238104 completed with status 0
0.11/0.45	% Result found by SubtermCWHack
0.11/0.45	% Preprocessing class: HSSSSLSSSLMNHSA.
0.11/0.45	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.11/0.45	% Starting new_ho_10 with 900s (5) cores
0.11/0.45	% Starting new_ho_7 with 180s (1) cores
0.11/0.45	% (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,3,,5,20000,1.0,true))
0.11/0.45	% SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
0.11/0.45	% Search class: HGUSF-FFSS22-DHSFMSBN
0.11/0.45	% partial match(3): HGUNF-FFSS22-SHSSMSBN
0.11/0.45	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.11/0.45	% Starting SubtermCWHack with 17s (1) cores
0.11/0.45	% Preprocessing time       : 0.001 s
0.11/0.45	
0.11/0.45	% Proof found!
0.11/0.45	% SZS status Theorem
0.11/0.45	% SZS output start CNFRefutation
0.11/0.45	thf(decl_23, type, in: $i > $i > $o).
0.11/0.45	thf(decl_24, type, dsetconstr: $i > ($i > $o) > $i).
0.11/0.45	thf(decl_25, type, dsetconstrI: $o).
0.11/0.45	thf(decl_26, type, setext: $o).
0.11/0.45	thf(decl_27, type, kpair: $i > $i > $i).
0.11/0.45	thf(decl_28, type, cartprod: $i > $i > $i).
0.11/0.45	thf(decl_29, type, cartprodpairin: $o).
0.11/0.45	thf(decl_30, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
0.11/0.45	thf(decl_31, type, esk1_2: $i > $i > $i).
0.11/0.45	thf(decl_32, type, esk2_2: $i > $i > $i).
0.11/0.45	thf(decl_33, type, esk3_0: $i).
0.11/0.45	thf(decl_34, type, esk4_0: $i).
0.11/0.45	thf(decl_35, type, epred1_0: $i > $i > $o).
0.11/0.45	thf(decl_36, type, esk5_0: $i).
0.11/0.45	thf(decl_37, type, esk6_0: $i).
0.11/0.45	thf(dpsetconstrI, conjecture, (((setext)=>((cartprodpairin)=>![X1:$i, X5:$i, X8:$i > $i > $o, X3:$i]:(((in @ X3 @ X1)=>![X4:$i]:((((X8 @ X3 @ X4)=>(in @ (kpair @ X3 @ X4) @ (dpsetconstr @ X1 @ X5 @ (^[X9:$i, X7:$i]:((X8 @ X9 @ X7))))))<=(in @ X4 @ X5)))))))<=(dsetconstrI)), file('/export/starexec/sandbox/tmp/tmp.oJS9FTqJS7/E---3.1_1238078.p', dpsetconstrI)).
0.11/0.45	thf(dpsetconstr, axiom, ((dpsetconstr)=(^[X1:$i, X5:$i, X6:$i > $i > $o]:(dsetconstr @ (cartprod @ X1 @ X5) @ (^[X7:$i]:(?[X3:$i]:((((in @ X3 @ X1))&(?[X4:$i]:((((((in @ X4 @ X5))&((X6 @ X3 @ X4))))&(((X7)=(kpair @ X3 @ X4))))))))))))), file('/export/starexec/sandbox/tmp/tmp.oJS9FTqJS7/E---3.1_1238078.p', dpsetconstr)).
0.11/0.45	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(in @ X3 @ (dsetconstr @ X1 @ (^[X4:$i]:((X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.oJS9FTqJS7/E---3.1_1238078.p', dsetconstrI)).
0.11/0.45	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X1:$i, X5:$i, X3:$i]:(((in @ X3 @ X1)=>![X4:$i]:(((in @ X4 @ X5)=>(in @ (kpair @ X3 @ X4) @ (cartprod @ X1 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.oJS9FTqJS7/E---3.1_1238078.p', cartprodpairin)).
0.11/0.45	thf(setext, axiom, ((setext)<=>![X1:$i, X5:$i]:((![X3:$i]:(((in @ X3 @ X1)=>(in @ X3 @ X5)))=>(![X3:$i]:(((in @ X3 @ X5)=>(in @ X3 @ X1)))=>((X1)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.oJS9FTqJS7/E---3.1_1238078.p', setext)).
0.11/0.45	thf(c_0_5, negated_conjecture, ~((((setext)=>((cartprodpairin)=>![X1:$i, X5:$i, X8:$i > $i > $o, X3:$i]:(((in @ X3 @ X1)=>![X4:$i]:((((X8 @ X3 @ X4)=>(in @ (kpair @ X3 @ X4) @ (dpsetconstr @ X1 @ X5 @ (^[X9:$i, X7:$i]:((X8 @ X9 @ X7))))))<=(in @ X4 @ X5)))))))<=(dsetconstrI))), inference(assume_negation,[status(cth)],[dpsetconstrI])).
0.11/0.45	thf(c_0_6, plain, ((dpsetconstr)=(^[Z0:$i, Z1:$i, Z2:$i > $i > $o]:(dsetconstr @ (cartprod @ Z0 @ Z1) @ (^[Z3:$i]:(?[X3:$i]:((((in @ X3 @ Z0))&(?[X4:$i]:((((((in @ X4 @ Z1))&((Z2 @ X3 @ X4))))&(((Z3)=(kpair @ X3 @ X4))))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstr])).
0.11/0.45	thf(c_0_7, plain, ((dsetconstrI)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(in @ X3 @ (dsetconstr @ X1 @ (^[Z0:$i]:((X2 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.11/0.45	thf(c_0_8, negated_conjecture, ~((![X36:$i, X37:$i > $o, X38:$i]:(((in @ X38 @ X36)=>((X37 @ X38)=>(in @ X38 @ (dsetconstr @ X36 @ X37)))))=>(![X26:$i, X27:$i]:((![X28:$i]:(((in @ X28 @ X26)=>(in @ X28 @ X27)))=>(![X29:$i]:(((in @ X29 @ X27)=>(in @ X29 @ X26)))=>((X26)=(X27)))))=>(![X30:$i, X31:$i, X32:$i]:(((in @ X32 @ X30)=>![X33:$i]:(((in @ X33 @ X31)=>(in @ (kpair @ X32 @ X33) @ (cartprod @ X30 @ X31))))))=>![X1:$i, X5:$i, X8:$i > $i > $o, X3:$i]:(((in @ X3 @ X1)=>![X4:$i]:(((in @ X4 @ X5)=>((X8 @ X3 @ X4)=>(in @ (kpair @ X3 @ X4) @ (dsetconstr @ (cartprod @ X1 @ X5) @ (^[Z0:$i]:(?[X34:$i]:((((in @ X34 @ X1))&(?[X35:$i]:((((((in @ X35 @ X5))&(X8 @ X34 @ X35)))&(((Z0)=(kpair @ X34 @ X35))))))))))))))))))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5]), c_0_6]), cartprodpairin]), setext]), c_0_7])])])).
0.11/0.45	thf(c_0_9, negated_conjecture, ![X39:$i, X40:$i > $o, X41:$i, X42:$i, X43:$i, X46:$i, X47:$i, X48:$i, X49:$i]:(((~(in @ X41 @ X39)|(~(X40 @ X41)|(in @ X41 @ (dsetconstr @ X39 @ X40))))&(((((in @ (esk2_2 @ X42 @ X43) @ X43)|((X42)=(X43))|(in @ (esk1_2 @ X42 @ X43) @ X42))&(~(in @ (esk2_2 @ X42 @ X43) @ X42)|((X42)=(X43))|(in @ (esk1_2 @ X42 @ X43) @ X42)))&(((in @ (esk2_2 @ X42 @ X43) @ X43)|((X42)=(X43))|~(in @ (esk1_2 @ X42 @ X43) @ X43))&(~(in @ (esk2_2 @ X42 @ X43) @ X42)|((X42)=(X43))|~(in @ (esk1_2 @ X42 @ X43) @ X43))))&((~(in @ X48 @ X46)|(~(in @ X49 @ X47)|(in @ (kpair @ X48 @ X49) @ (cartprod @ X46 @ X47))))&((in @ esk5_0 @ esk3_0)&((in @ esk6_0 @ esk4_0)&((epred1_0 @ esk5_0 @ esk6_0)&~(in @ (kpair @ esk5_0 @ esk6_0) @ (dsetconstr @ (cartprod @ esk3_0 @ esk4_0) @ (^[Z0:$i]:(?[X34:$i]:((((in @ X34 @ esk3_0))&(?[X35:$i]:((((((in @ X35 @ esk4_0))&(epred1_0 @ X34 @ X35)))&(((Z0)=(kpair @ X34 @ X35))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])).
0.11/0.45	thf(c_0_10, negated_conjecture, ~((in @ (kpair @ esk5_0 @ esk6_0) @ (dsetconstr @ (cartprod @ esk3_0 @ esk4_0) @ (^[Z0:$i]:(?[X59:$i]:((((in @ X59 @ esk3_0))&(?[X60:$i]:((((((in @ X60 @ esk4_0))&((epred1_0 @ X59 @ X60))))&(((Z0)=(kpair @ X59 @ X60))))))))))))), inference(split_conjunct,[status(thm)],[c_0_9])).
0.11/0.45	thf(c_0_11, negated_conjecture, ![X3:$i, X2:$i > $o, X1:$i]:(((in @ X1 @ (dsetconstr @ X3 @ X2))|~((in @ X1 @ X3))|~((X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_9])).
0.11/0.45	thf(c_0_12, negated_conjecture, (~(?[X61:$i]:(((in @ X61 @ esk3_0)&?[X62:$i]:((((in @ X62 @ esk4_0)&(epred1_0 @ X61 @ X62))&((kpair @ esk5_0 @ esk6_0)=(kpair @ X61 @ X62)))))))|~((in @ (kpair @ esk5_0 @ esk6_0) @ (cartprod @ esk3_0 @ esk4_0)))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
0.11/0.45	thf(c_0_13, negated_conjecture, ![X1:$i, X3:$i]:((((kpair @ esk5_0 @ esk6_0)!=(kpair @ X1 @ X3))|~((in @ (kpair @ esk5_0 @ esk6_0) @ (cartprod @ esk3_0 @ esk4_0)))|~((in @ X1 @ esk3_0))|~((in @ X3 @ esk4_0))|~((epred1_0 @ X1 @ X3)))), inference(dynamic_cnf,[status(thm)],[c_0_12])).
0.11/0.45	thf(c_0_14, negated_conjecture, ![X1:$i, X3:$i, X4:$i, X5:$i]:(((in @ (kpair @ X1 @ X4) @ (cartprod @ X3 @ X5))|~((in @ X1 @ X3))|~((in @ X4 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_9])).
0.11/0.45	thf(c_0_15, negated_conjecture, (in @ esk6_0 @ esk4_0), inference(split_conjunct,[status(thm)],[c_0_9])).
0.11/0.45	thf(c_0_16, negated_conjecture, (in @ esk5_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_9])).
0.11/0.45	thf(c_0_17, negated_conjecture, ![X1:$i, X3:$i]:((((kpair @ esk5_0 @ esk6_0)!=(kpair @ X1 @ X3))|~((in @ X1 @ esk3_0))|~((in @ X3 @ esk4_0))|~((epred1_0 @ X1 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15]), c_0_16])])).
0.11/0.45	thf(c_0_18, negated_conjecture, (epred1_0 @ esk5_0 @ esk6_0), inference(split_conjunct,[status(thm)],[c_0_9])).
0.11/0.45	thf(c_0_19, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_17]), c_0_16]), c_0_15]), c_0_18])]), ['proof']).
0.11/0.45	% SZS output end CNFRefutation
0.11/0.45	% Parsed axioms                        : 13
0.11/0.45	% Removed by relevancy pruning/SinE    : 8
0.11/0.45	% Initial clauses                      : 10
0.11/0.45	% Removed in clause preprocessing      : 0
0.11/0.45	% Initial clauses in saturation        : 10
0.11/0.45	% Processed clauses                    : 15
0.11/0.45	% ...of these trivial                  : 0
0.11/0.45	% ...subsumed                          : 0
0.11/0.45	% ...remaining for further processing  : 15
0.11/0.45	% Other redundant clauses eliminated   : 0
0.11/0.45	% Clauses deleted for lack of memory   : 0
0.11/0.45	% Backward-subsumed                    : 1
0.11/0.45	% Backward-rewritten                   : 0
0.11/0.45	% Generated clauses                    : 7
0.11/0.45	% ...of the previous two non-redundant : 6
0.11/0.45	% ...aggressively subsumed             : 0
0.11/0.45	% Contextual simplify-reflections      : 0
0.11/0.45	% Paramodulations                      : 5
0.11/0.45	% Factorizations                       : 0
0.11/0.45	% NegExts                              : 0
0.11/0.45	% Equation resolutions                 : 1
0.11/0.45	% Disequality decompositions           : 0
0.11/0.45	% Total rewrite steps                  : 5
0.11/0.45	% ...of those cached                   : 2
0.11/0.45	% Propositional unsat checks           : 0
0.11/0.45	%    Propositional check models        : 0
0.11/0.45	%    Propositional check unsatisfiable : 0
0.11/0.45	%    Propositional clauses             : 0
0.11/0.45	%    Propositional clauses after purity: 0
0.11/0.45	%    Propositional unsat core size     : 0
0.11/0.45	%    Propositional preprocessing time  : 0.000
0.11/0.45	%    Propositional encoding time       : 0.000
0.11/0.45	%    Propositional solver time         : 0.000
0.11/0.45	%    Success case prop preproc time    : 0.000
0.11/0.45	%    Success case prop encoding time   : 0.000
0.11/0.45	%    Success case prop solver time     : 0.000
0.11/0.45	% Current number of processed clauses  : 13
0.11/0.45	%    Positive orientable unit clauses  : 3
0.11/0.45	%    Positive unorientable unit clauses: 0
0.11/0.45	%    Negative unit clauses             : 1
0.11/0.45	%    Non-unit-clauses                  : 9
0.11/0.45	% Current number of unprocessed clauses: 1
0.11/0.45	% ...number of literals in the above   : 5
0.11/0.45	% Current number of archived formulas  : 0
0.11/0.45	% Current number of archived clauses   : 2
0.11/0.45	% Clause-clause subsumption calls (NU) : 42
0.11/0.45	% Rec. Clause-clause subsumption calls : 14
0.11/0.45	% Non-unit clause-clause subsumptions  : 1
0.11/0.45	% Unit Clause-clause subsumption calls : 0
0.11/0.45	% Rewrite failures with RHS unbound    : 0
0.11/0.45	% BW rewrite match attempts            : 0
0.11/0.45	% BW rewrite match successes           : 0
0.11/0.45	% Condensation attempts                : 0
0.11/0.45	% Condensation successes               : 0
0.11/0.45	% Termbank termtop insertions          : 1961
0.11/0.45	% Search garbage collected termcells   : 577
0.11/0.45	
0.11/0.45	% -------------------------------------------------
0.11/0.45	% User time                : 0.004 s
0.11/0.45	% System time              : 0.003 s
0.11/0.45	% Total time               : 0.007 s
0.11/0.45	% Maximum resident set size: 3904 pages
0.11/0.45	
0.11/0.45	% -------------------------------------------------
0.11/0.45	% User time                : 0.004 s
0.11/0.45	% System time              : 0.009 s
0.11/0.45	% Total time               : 0.013 s
0.11/0.45	% Maximum resident set size: 4608 pages
0.11/0.45	% E exiting
0.11/0.45	EOF