0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.07	% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.14/0.40	% Computer : n006.cluster.edu
0.14/0.40	% Model    : x86_64 x86_64
0.14/0.40	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.40	% Memory   : 8046.5625MB
0.14/0.40	% OS       : Linux 6.8.0-71-generic
0.14/0.40	% CPULimit : 1440
0.14/0.40	% WCLimit  : 180
0.14/0.40	% DateTime : Mon Jul 27 10:59:34 UTC 2026
0.14/0.40	% CPUTime  : 
0.14/0.40	Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.14/0.45	Running higher-order theorem proving
0.20/0.46	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.JQ5DKoomEH/E---3.1_2725652.p
0.20/0.48	% Version: 3.5.1-ho
0.20/0.48	% Preprocessing class: HSSSSLSSSLMNSFA.
0.20/0.48	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.20/0.48	% Starting new_ho_10 with 900s (5) cores
0.20/0.48	% Starting full_lambda_3 with 180s (1) cores
0.20/0.48	% Starting ho_unfolding_6 with 180s (1) cores
0.20/0.48	% Starting sh4l with 180s (1) cores
0.20/0.48	% full_lambda_3 with pid 2725689 completed with status 0
0.20/0.48	% Result found by full_lambda_3
0.20/0.48	% Preprocessing class: HSSSSLSSSLMNSFA.
0.20/0.48	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.20/0.48	% Starting new_ho_10 with 900s (5) cores
0.20/0.48	% Starting full_lambda_3 with 180s (1) cores
0.20/0.48	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,1.5,,2,20000,1.0))
0.20/0.48	% SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0)
0.20/0.48	% Search class: HHUSF-FFSS21-DSFFMSBN
0.20/0.48	% partial match(3): HHUSF-FFSF22-SSFFMSBN
0.20/0.48	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.20/0.48	% Starting SubtermCWHack with 17s (1) cores
0.20/0.48	% SubtermCWHack with pid 2725693 completed with status 0
0.20/0.48	% Result found by SubtermCWHack
0.20/0.48	% Preprocessing class: HSSSSLSSSLMNSFA.
0.20/0.48	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.20/0.48	% Starting new_ho_10 with 900s (5) cores
0.20/0.48	% Starting full_lambda_3 with 180s (1) cores
0.20/0.48	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,1.5,,2,20000,1.0))
0.20/0.48	% SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0)
0.20/0.48	% Search class: HHUSF-FFSS21-DSFFMSBN
0.20/0.48	% partial match(3): HHUSF-FFSF22-SSFFMSBN
0.20/0.48	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.20/0.48	% Starting SubtermCWHack with 17s (1) cores
0.20/0.48	% Preprocessing time       : 0.001 s
0.20/0.48	
0.20/0.48	% Proof found!
0.20/0.48	% SZS status Theorem
0.20/0.48	% SZS output start CNFRefutation
0.20/0.48	thf(decl_23, type, in: $i > $i > $o).
0.20/0.48	thf(decl_26, type, powerset: $i > $i).
0.20/0.48	thf(decl_27, type, dsetconstr: $i > ($i > $o) > $i).
0.20/0.48	thf(decl_28, type, dsetconstrI: $o).
0.20/0.48	thf(decl_29, type, binunion: $i > $i > $i).
0.20/0.48	thf(decl_30, type, kpair: $i > $i > $i).
0.20/0.48	thf(decl_31, type, cartprod: $i > $i > $i).
0.20/0.48	thf(decl_32, type, ubforcartprodlem3: $o).
0.20/0.48	thf(decl_33, type, esk1_0: $i).
0.20/0.48	thf(decl_34, type, esk2_0: $i).
0.20/0.48	thf(decl_35, type, esk3_0: $i).
0.20/0.48	thf(decl_36, type, esk4_0: $i).
0.20/0.48	thf(cartprodpairin, conjecture, ((dsetconstrI)=>(![X1:$i, X5:$i, X3:$i]:((![X4:$i]:(((in @ X4 @ X5)=>(in @ (kpair @ X3 @ X4) @ (cartprod @ X1 @ X5))))<=(in @ X3 @ X1)))<=(ubforcartprodlem3))), file('/export/starexec/sandbox/tmp/tmp.JQ5DKoomEH/E---3.1_2725652.p', cartprodpairin)).
0.20/0.48	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(in @ X3 @ (dsetconstr @ X1 @ (^[X4:$i]:((X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.JQ5DKoomEH/E---3.1_2725652.p', dsetconstrI)).
0.20/0.48	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X1:$i, X5:$i, X3:$i]:(((in @ X3 @ X1)=>![X4:$i]:(((in @ X4 @ X5)=>(in @ (kpair @ X3 @ X4) @ (powerset @ (powerset @ (binunion @ X1 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.JQ5DKoomEH/E---3.1_2725652.p', ubforcartprodlem3)).
0.20/0.48	thf(cartprod, axiom, ((cartprod)=(^[X1:$i, X5:$i]:(dsetconstr @ (powerset @ (powerset @ (binunion @ X1 @ X5))) @ (^[X3:$i]:(?[X4:$i]:((((in @ X4 @ X1))&(?[X6:$i]:((((in @ X6 @ X5))&(((X3)=(kpair @ X4 @ X6))))))))))))), file('/export/starexec/sandbox/tmp/tmp.JQ5DKoomEH/E---3.1_2725652.p', cartprod)).
0.20/0.48	thf(c_0_4, negated_conjecture, ~(((dsetconstrI)=>(![X1:$i, X5:$i, X3:$i]:((![X4:$i]:(((in @ X4 @ X5)=>(in @ (kpair @ X3 @ X4) @ (cartprod @ X1 @ X5))))<=(in @ X3 @ X1)))<=(ubforcartprodlem3)))), inference(assume_negation,[status(cth)],[cartprodpairin])).
0.20/0.48	thf(c_0_5, plain, ((dsetconstrI)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(in @ X3 @ (dsetconstr @ X1 @ (^[Z0:$i]:((X2 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.20/0.48	thf(c_0_6, negated_conjecture, ~((![X18:$i, X19:$i > $o, X20:$i]:(((in @ X20 @ X18)=>((X19 @ X20)=>(in @ X20 @ (dsetconstr @ X18 @ X19)))))=>(![X21:$i, X22:$i, X23:$i]:(((in @ X23 @ X21)=>![X24:$i]:(((in @ X24 @ X22)=>(in @ (kpair @ X23 @ X24) @ (powerset @ (powerset @ (binunion @ X21 @ X22))))))))=>![X1:$i, X5:$i, X3:$i]:(((in @ X3 @ X1)=>![X4:$i]:(((in @ X4 @ X5)=>(in @ (kpair @ X3 @ X4) @ (cartprod @ X1 @ X5))))))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_4, c_0_5]), ubforcartprodlem3])])])).
0.20/0.48	thf(c_0_7, plain, ((cartprod)=(^[Z0:$i, Z1:$i]:(dsetconstr @ (powerset @ (powerset @ (binunion @ Z0 @ Z1))) @ (^[Z2:$i]:(?[X4:$i]:((((in @ X4 @ Z0))&(?[X6:$i]:((((in @ X6 @ Z1))&(((Z2)=(kpair @ X4 @ X6))))))))))))), inference(fof_simplification,[status(thm)],[cartprod])).
0.20/0.48	thf(c_0_8, negated_conjecture, ![X25:$i, X26:$i > $o, X27:$i, X28:$i, X29:$i, X30:$i, X31:$i]:(((~(in @ X27 @ X25)|(~(X26 @ X27)|(in @ X27 @ (dsetconstr @ X25 @ X26))))&((~(in @ X30 @ X28)|(~(in @ X31 @ X29)|(in @ (kpair @ X30 @ X31) @ (powerset @ (powerset @ (binunion @ X28 @ X29))))))&((in @ esk3_0 @ esk1_0)&((in @ esk4_0 @ esk2_0)&~(in @ (kpair @ esk3_0 @ esk4_0) @ (cartprod @ esk1_0 @ esk2_0))))))), 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])])])])])).
0.20/0.48	thf(c_0_9, plain, ((cartprod)=(^[Z0:$i, Z1:$i]:(dsetconstr @ (powerset @ (powerset @ (binunion @ Z0 @ Z1))) @ (^[Z2:$i]:(?[X49:$i]:((((in @ X49 @ Z0))&(?[X50:$i]:((((in @ X50 @ Z1))&(((Z2)=(kpair @ X49 @ X50))))))))))))), inference(split_conjunct,[status(thm)],[c_0_7])).
0.20/0.48	thf(c_0_10, negated_conjecture, ![X3:$i, X2:$i > $o, X1:$i]:(((in @ X1 @ (dsetconstr @ X3 @ X2))|~((in @ X1 @ X3))|~((X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_8])).
0.20/0.48	thf(c_0_11, plain, ![X1:$i, X3:$i]:(((dsetconstr @ (powerset @ (powerset @ (binunion @ X1 @ X3))) @ (^[Z0:$i]:(?[X51:$i]:((((in @ X51 @ X1))&(?[X52:$i]:((((in @ X52 @ X3))&(((Z0)=(kpair @ X51 @ X52)))))))))))=(cartprod @ X1 @ X3))), inference(arg_cong,[status(thm)],[c_0_9])).
0.20/0.48	thf(c_0_12, negated_conjecture, ![X1:$i, X3:$i, X4:$i]:(((in @ X1 @ (cartprod @ X3 @ X4))|~(?[X53:$i]:(((in @ X53 @ X3)&?[X54:$i]:(((in @ X54 @ X4)&((X1)=(kpair @ X53 @ X54)))))))|~((in @ X1 @ (powerset @ (powerset @ (binunion @ X3 @ X4))))))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
0.20/0.48	thf(c_0_13, negated_conjecture, ![X1:$i, X3:$i, X4:$i, X5:$i]:(((in @ (kpair @ X1 @ X4) @ (powerset @ (powerset @ (binunion @ X3 @ X5))))|~((in @ X1 @ X3))|~((in @ X4 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_8])).
0.20/0.48	thf(c_0_14, negated_conjecture, ~((in @ (kpair @ esk3_0 @ esk4_0) @ (cartprod @ esk1_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_8])).
0.20/0.48	thf(c_0_15, negated_conjecture, ![X1:$i, X3:$i, X4:$i, X5:$i]:(((in @ (kpair @ X1 @ X3) @ (cartprod @ X4 @ X5))|~((in @ X1 @ X4))|~((in @ X3 @ X5)))), inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_12])]), c_0_13])).
0.20/0.48	thf(c_0_16, negated_conjecture, (in @ esk3_0 @ esk1_0), inference(split_conjunct,[status(thm)],[c_0_8])).
0.20/0.48	thf(c_0_17, negated_conjecture, (in @ esk4_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_8])).
0.20/0.48	thf(c_0_18, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_17])]), ['proof']).
0.20/0.48	% SZS output end CNFRefutation
0.20/0.48	% Parsed axioms                        : 15
0.20/0.48	% Removed by relevancy pruning/SinE    : 10
0.20/0.48	% Initial clauses                      : 7
0.20/0.48	% Removed in clause preprocessing      : 0
0.20/0.48	% Initial clauses in saturation        : 7
0.20/0.48	% Processed clauses                    : 16
0.20/0.48	% ...of these trivial                  : 2
0.20/0.48	% ...subsumed                          : 0
0.20/0.48	% ...remaining for further processing  : 14
0.20/0.48	% Other redundant clauses eliminated   : 1
0.20/0.48	% Clauses deleted for lack of memory   : 0
0.20/0.48	% Backward-subsumed                    : 0
0.20/0.48	% Backward-rewritten                   : 0
0.20/0.48	% Generated clauses                    : 12
0.20/0.48	% ...of the previous two non-redundant : 9
0.20/0.48	% ...aggressively subsumed             : 0
0.20/0.48	% Contextual simplify-reflections      : 1
0.20/0.48	% Paramodulations                      : 4
0.20/0.48	% Factorizations                       : 0
0.20/0.48	% NegExts                              : 0
0.20/0.48	% Equation resolutions                 : 1
0.20/0.48	% Disequality decompositions           : 0
0.20/0.48	% Total rewrite steps                  : 6
0.20/0.48	% ...of those cached                   : 0
0.20/0.48	% Propositional unsat checks           : 0
0.20/0.48	%    Propositional check models        : 0
0.20/0.48	%    Propositional check unsatisfiable : 0
0.20/0.48	%    Propositional clauses             : 0
0.20/0.48	%    Propositional clauses after purity: 0
0.20/0.48	%    Propositional unsat core size     : 0
0.20/0.48	%    Propositional preprocessing time  : 0.000
0.20/0.48	%    Propositional encoding time       : 0.000
0.20/0.48	%    Propositional solver time         : 0.000
0.20/0.48	%    Success case prop preproc time    : 0.000
0.20/0.48	%    Success case prop encoding time   : 0.000
0.20/0.48	%    Success case prop solver time     : 0.000
0.20/0.48	% Current number of processed clauses  : 13
0.20/0.48	%    Positive orientable unit clauses  : 9
0.20/0.48	%    Positive unorientable unit clauses: 0
0.20/0.48	%    Negative unit clauses             : 1
0.20/0.48	%    Non-unit-clauses                  : 3
0.20/0.48	% Current number of unprocessed clauses: 0
0.20/0.48	% ...number of literals in the above   : 0
0.20/0.48	% Current number of archived formulas  : 0
0.20/0.48	% Current number of archived clauses   : 1
0.20/0.48	% Clause-clause subsumption calls (NU) : 1
0.20/0.48	% Rec. Clause-clause subsumption calls : 1
0.20/0.48	% Non-unit clause-clause subsumptions  : 1
0.20/0.48	% Unit Clause-clause subsumption calls : 0
0.20/0.48	% Rewrite failures with RHS unbound    : 0
0.20/0.48	% BW rewrite match attempts            : 2
0.20/0.48	% BW rewrite match successes           : 0
0.20/0.48	% Condensation attempts                : 0
0.20/0.48	% Condensation successes               : 0
0.20/0.48	% Termbank termtop insertions          : 1584
0.20/0.48	% Search garbage collected termcells   : 303
0.20/0.48	
0.20/0.48	% -------------------------------------------------
0.20/0.48	% User time                : 0.006 s
0.20/0.48	% System time              : 0.000 s
0.20/0.48	% Total time               : 0.006 s
0.20/0.48	% Maximum resident set size: 3640 pages
0.20/0.48	
0.20/0.48	% -------------------------------------------------
0.20/0.48	% User time                : 0.009 s
0.20/0.48	% System time              : 0.003 s
0.20/0.48	% Total time               : 0.012 s
0.20/0.48	% Maximum resident set size: 4864 pages
0.20/0.48	% E exiting
0.20/0.48	EOF