%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP019+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:55:57 PM UTC 2026
% Result : Theorem 7.68s 5.78s
% Output : CNFRefutation 7.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 3 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
! [X75] :
( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
=> s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75))) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
fof(thm_2Ecomplex_2ECOMPLEX__INV__INV,axiom,
! [X75] : s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75))))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__INV) ).
fof(thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
! [X75] :
( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
<=> s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
fof(c_0_3,negated_conjecture,
~ ! [X75] :
( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
=> s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75))) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ),
inference(assume_negation,[status(cth)],[thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).
fof(c_0_4,negated_conjecture,
~ ! [X75] :
( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
=> s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75))) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_5,plain,
! [X14943] : s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X14943))))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X14943),
inference(variable_rename,[status(thm)],[thm_2Ecomplex_2ECOMPLEX__INV__INV]) ).
fof(c_0_6,negated_conjecture,
( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),esk1_0))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
& s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),esk1_0) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,plain,
! [X14945] :
( ( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X14945))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
| s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X14945) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) )
& ( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X14945) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
| s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X14945))) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Ecomplex_2ECOMPLEX__INV__EQ__0])])]) ).
cnf(c_0_8,plain,
s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X1))))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),esk1_0))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X1) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
| s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X1))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),esk1_0),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),esk1_0) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP019+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n011.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Sun Sep 20 21:51:43 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.53 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 7.68/5.78 % Version: 3.5.1
% 7.68/5.78 % Preprocessing class: FMLLSMLLSSSNFFN.
% 7.68/5.78 % Scheduled 4 strats onto 8 cores with 296 seconds (2368 total)
% 7.68/5.78 % Starting new_bool_3 with 888s (3) cores
% 7.68/5.78 % Starting new_bool_1 with 888s (3) cores
% 7.68/5.78 % Starting sh5l with 296s (1) cores
% 7.68/5.78 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 296s (1) cores
% 7.68/5.78 % new_bool_3 with pid 233488 completed with status 0
% 7.68/5.78 % Result found by new_bool_3
% 7.68/5.78 % Preprocessing class: FMLLSMLLSSSNFFN.
% 7.68/5.78 % Scheduled 4 strats onto 8 cores with 296 seconds (2368 total)
% 7.68/5.78 % Starting new_bool_3 with 888s (3) cores
% 7.68/5.78 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 7.68/5.78 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.68/5.78 % Search class: FGUSM-FSLM33-DFFFFFNN
% 7.68/5.78 % Scheduled 6 strats onto 3 cores with 888 seconds (888 total)
% 7.68/5.78 % Starting SubtermCWHack with 89s (1) cores
% 7.68/5.78 % Starting SAT001_MinMin_p005000_rr_RG with 444s (1) cores
% 7.68/5.78 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 111s (1) cores
% 7.68/5.78 % SubtermCWHack with pid 233492 completed with status 0
% 7.68/5.78 % Result found by SubtermCWHack
% 7.68/5.78 % Preprocessing class: FMLLSMLLSSSNFFN.
% 7.68/5.78 % Scheduled 4 strats onto 8 cores with 296 seconds (2368 total)
% 7.68/5.78 % Starting new_bool_3 with 888s (3) cores
% 7.68/5.78 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 7.68/5.78 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.68/5.78 % Search class: FGUSM-FSLM33-DFFFFFNN
% 7.68/5.78 % Scheduled 6 strats onto 3 cores with 888 seconds (888 total)
% 7.68/5.78 % Starting SubtermCWHack with 89s (1) cores
% 7.68/5.78 % Preprocessing time : 0.063 s
% 7.68/5.78
% 7.68/5.78 % Proof found!
% 7.68/5.78 % SZS status Theorem
% 7.68/5.78 % SZS output start CNFRefutation
% See solution above
% 7.68/5.78 % Parsed axioms : 23399
% 7.68/5.78 % Removed by relevancy pruning/SinE : 22862
% 7.68/5.78 % Initial clauses : 1549
% 7.68/5.78 % Removed in clause preprocessing : 865
% 7.68/5.78 % Initial clauses in saturation : 684
% 7.68/5.78 % Processed clauses : 372
% 7.68/5.78 % ...of these trivial : 3
% 7.68/5.78 % ...subsumed : 335
% 7.68/5.78 % ...remaining for further processing : 34
% 7.68/5.78 % Other redundant clauses eliminated : 0
% 7.68/5.78 % Clauses deleted for lack of memory : 0
% 7.68/5.78 % Backward-subsumed : 0
% 7.68/5.78 % Backward-rewritten : 1
% 7.68/5.78 % Generated clauses : 234
% 7.68/5.78 % ...of the previous two non-redundant : 167
% 7.68/5.78 % ...aggressively subsumed : 0
% 7.68/5.78 % Contextual simplify-reflections : 0
% 7.68/5.78 % Paramodulations : 232
% 7.68/5.78 % Factorizations : 2
% 7.68/5.78 % NegExts : 0
% 7.68/5.78 % Equation resolutions : 0
% 7.68/5.78 % Disequality decompositions : 0
% 7.68/5.78 % Total rewrite steps : 28
% 7.68/5.78 % ...of those cached : 17
% 7.68/5.78 % Propositional unsat checks : 0
% 7.68/5.78 % Propositional check models : 0
% 7.68/5.78 % Propositional check unsatisfiable : 0
% 7.68/5.78 % Propositional clauses : 0
% 7.68/5.78 % Propositional clauses after purity: 0
% 7.68/5.78 % Propositional unsat core size : 0
% 7.68/5.78 % Propositional preprocessing time : 0.000
% 7.68/5.78 % Propositional encoding time : 0.000
% 7.68/5.78 % Propositional solver time : 0.000
% 7.68/5.78 % Success case prop preproc time : 0.000
% 7.68/5.78 % Success case prop encoding time : 0.000
% 7.68/5.78 % Success case prop solver time : 0.000
% 7.68/5.78 % Current number of processed clauses : 33
% 7.68/5.78 % Positive orientable unit clauses : 7
% 7.68/5.78 % Positive unorientable unit clauses: 0
% 7.68/5.78 % Negative unit clauses : 2
% 7.68/5.78 % Non-unit-clauses : 24
% 7.68/5.78 % Current number of unprocessed clauses: 478
% 7.68/5.78 % ...number of literals in the above : 1339
% 7.68/5.78 % Current number of archived formulas : 0
% 7.68/5.78 % Current number of archived clauses : 1
% 7.68/5.78 % Clause-clause subsumption calls (NU) : 447
% 7.68/5.78 % Rec. Clause-clause subsumption calls : 433
% 7.68/5.78 % Non-unit clause-clause subsumptions : 332
% 7.68/5.78 % Unit Clause-clause subsumption calls : 0
% 7.68/5.78 % Rewrite failures with RHS unbound : 0
% 7.68/5.78 % BW rewrite match attempts : 6
% 7.68/5.78 % BW rewrite match successes : 1
% 7.68/5.78 % Condensation attempts : 0
% 7.68/5.78 % Condensation successes : 0
% 7.68/5.78 % Termbank termtop insertions : 1493845
% 7.68/5.78 % Search garbage collected termcells : 375228
% 7.68/5.78
% 7.68/5.78 % -------------------------------------------------
% 7.68/5.78 % User time : 0.587 s
% 7.68/5.78 % System time : 0.176 s
% 7.68/5.78 % Total time : 0.763 s
% 7.68/5.78 % Maximum resident set size: 70768 pages
% 7.68/5.78
% 7.68/5.78 % -------------------------------------------------
% 7.68/5.78 % User time : 5.004 s
% 7.68/5.78 % System time : 0.417 s
% 7.68/5.78 % Total time : 5.422 s
% 7.68/5.78 % Maximum resident set size: 62720 pages
% 7.68/5.78 % E exiting
%------------------------------------------------------------------------------