%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP020+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:53:48 PM UTC 2026
% Result : Theorem 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 26 ( 2 sgn 15 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Eutil__prob_2ENUM__2D__BIJ__INV,conjecture,
? [X3] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X3),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eutil__prob_2ENUM__2D__BIJ__INV) ).
fof(thm_2Epred__set_2EBIJ__SYM,axiom,
! [X1,X2,X28,X29] :
( ? [X30] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X1,X2),X30),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X28),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X29))))
<=> ? [X31] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X2,X1),X31),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X29),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X28)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EBIJ__SYM) ).
fof(thm_2Eutil__prob_2ENUM__2D__BIJ,axiom,
? [X3] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum),X3),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eutil__prob_2ENUM__2D__BIJ) ).
fof(c_0_3,negated_conjecture,
~ ? [X3] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X3),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
inference(assume_negation,[status(cth)],[thm_2Eutil__prob_2ENUM__2D__BIJ__INV]) ).
fof(c_0_4,plain,
! [X63,X64,X65,X66,X67,X69,X70,X71,X72,X73] :
( ( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X69,X70),esk2_4(X69,X70,X71,X72)),s(tyop_2Emin_2Efun(X69,tyop_2Emin_2Ebool),X71),s(tyop_2Emin_2Efun(X70,tyop_2Emin_2Ebool),X72))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X70,X69),X73),s(tyop_2Emin_2Efun(X70,tyop_2Emin_2Ebool),X72),s(tyop_2Emin_2Efun(X69,tyop_2Emin_2Ebool),X71)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X64,X63),esk1_4(X63,X64,X65,X66)),s(tyop_2Emin_2Efun(X64,tyop_2Emin_2Ebool),X66),s(tyop_2Emin_2Efun(X63,tyop_2Emin_2Ebool),X65))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X63,X64),X67),s(tyop_2Emin_2Efun(X63,tyop_2Emin_2Ebool),X65),s(tyop_2Emin_2Efun(X64,tyop_2Emin_2Ebool),X66)))) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Epred__set_2EBIJ__SYM])])])])])]) ).
fof(c_0_5,plain,
p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum),esk3_0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[thm_2Eutil__prob_2ENUM__2D__BIJ])]) ).
fof(c_0_6,negated_conjecture,
! [X39] : ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X39),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_7,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5))))
| p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X2,X1),esk1_4(X1,X2,X4,X5)),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum),esk3_0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X1),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP020+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 21:52:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % Version: 3.5.1
% 0.20/0.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.52 % Starting new_bool_3 with 300s (1) cores
% 0.20/0.52 % Starting new_bool_1 with 300s (1) cores
% 0.20/0.52 % Starting sh5l with 300s (1) cores
% 0.20/0.52 % new_bool_3 with pid 1811105 completed with status 0
% 0.20/0.52 % Result found by new_bool_3
% 0.20/0.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.52 % Starting new_bool_3 with 300s (1) cores
% 0.20/0.52 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.20/0.52 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.52 % Search class: FGUSM-FFLF32-DFFFFFNN
% 0.20/0.52 % partial match(2): FGUSM-FSLM32-DFFFFFNN
% 0.20/0.52 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.52 % Starting SubtermCWHack with 31s (1) cores
% 0.20/0.52 % SubtermCWHack with pid 1811114 completed with status 0
% 0.20/0.52 % Result found by SubtermCWHack
% 0.20/0.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.52 % Starting new_bool_3 with 300s (1) cores
% 0.20/0.52 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.20/0.52 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.52 % Search class: FGUSM-FFLF32-DFFFFFNN
% 0.20/0.52 % partial match(2): FGUSM-FSLM32-DFFFFFNN
% 0.20/0.52 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.52 % Starting SubtermCWHack with 31s (1) cores
% 0.20/0.52 % Preprocessing time : 0.003 s
% 0.20/0.52
% 0.20/0.52 % Proof found!
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 % SZS output start CNFRefutation
% See solution above
% 0.20/0.52 % Parsed axioms : 59
% 0.20/0.52 % Removed by relevancy pruning/SinE : 31
% 0.20/0.52 % Initial clauses : 245
% 0.20/0.52 % Removed in clause preprocessing : 190
% 0.20/0.52 % Initial clauses in saturation : 55
% 0.20/0.52 % Processed clauses : 88
% 0.20/0.52 % ...of these trivial : 3
% 0.20/0.52 % ...subsumed : 45
% 0.20/0.52 % ...remaining for further processing : 40
% 0.20/0.52 % Other redundant clauses eliminated : 0
% 0.20/0.52 % Clauses deleted for lack of memory : 0
% 0.20/0.52 % Backward-subsumed : 0
% 0.20/0.52 % Backward-rewritten : 0
% 0.20/0.52 % Generated clauses : 924
% 0.20/0.52 % ...of the previous two non-redundant : 718
% 0.20/0.52 % ...aggressively subsumed : 0
% 0.20/0.52 % Contextual simplify-reflections : 0
% 0.20/0.52 % Paramodulations : 877
% 0.20/0.52 % Factorizations : 46
% 0.20/0.53 % NegExts : 0
% 0.20/0.53 % Equation resolutions : 1
% 0.20/0.53 % Disequality decompositions : 0
% 0.20/0.53 % Total rewrite steps : 6
% 0.20/0.53 % ...of those cached : 5
% 0.20/0.53 % Propositional unsat checks : 0
% 0.20/0.53 % Propositional check models : 0
% 0.20/0.53 % Propositional check unsatisfiable : 0
% 0.20/0.53 % Propositional clauses : 0
% 0.20/0.53 % Propositional clauses after purity: 0
% 0.20/0.53 % Propositional unsat core size : 0
% 0.20/0.53 % Propositional preprocessing time : 0.000
% 0.20/0.53 % Propositional encoding time : 0.000
% 0.20/0.53 % Propositional solver time : 0.000
% 0.20/0.53 % Success case prop preproc time : 0.000
% 0.20/0.53 % Success case prop encoding time : 0.000
% 0.20/0.53 % Success case prop solver time : 0.000
% 0.20/0.53 % Current number of processed clauses : 40
% 0.20/0.53 % Positive orientable unit clauses : 1
% 0.20/0.53 % Positive unorientable unit clauses: 0
% 0.20/0.53 % Negative unit clauses : 1
% 0.20/0.53 % Non-unit-clauses : 38
% 0.20/0.53 % Current number of unprocessed clauses: 672
% 0.20/0.53 % ...number of literals in the above : 4161
% 0.20/0.53 % Current number of archived formulas : 0
% 0.20/0.53 % Current number of archived clauses : 0
% 0.20/0.53 % Clause-clause subsumption calls (NU) : 443
% 0.20/0.53 % Rec. Clause-clause subsumption calls : 379
% 0.20/0.53 % Non-unit clause-clause subsumptions : 45
% 0.20/0.53 % Unit Clause-clause subsumption calls : 0
% 0.20/0.53 % Rewrite failures with RHS unbound : 0
% 0.20/0.53 % BW rewrite match attempts : 0
% 0.20/0.53 % BW rewrite match successes : 0
% 0.20/0.53 % Condensation attempts : 0
% 0.20/0.53 % Condensation successes : 0
% 0.20/0.53 % Termbank termtop insertions : 41592
% 0.20/0.53 % Search garbage collected termcells : 2689
% 0.20/0.53
% 0.20/0.53 % -------------------------------------------------
% 0.20/0.53 % User time : 0.033 s
% 0.20/0.53 % System time : 0.004 s
% 0.20/0.53 % Total time : 0.037 s
% 0.20/0.53 % Maximum resident set size: 4268 pages
% 0.20/0.53
% 0.20/0.53 % -------------------------------------------------
% 0.20/0.53 % User time : 0.039 s
% 0.20/0.53 % System time : 0.007 s
% 0.20/0.53 % Total time : 0.046 s
% 0.20/0.53 % Maximum resident set size: 4608 pages
% 0.20/0.53 % E exiting
%------------------------------------------------------------------------------