%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP019+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 : n012.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 12:53:46 PM UTC 2026
% Result : Theorem 0.07s 0.54s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 19 ( 18 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 : 5 ( 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 : 6 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
! [X15] :
( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X15) != 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),X15))) != 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/sandbox/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
fof(thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
! [X15] :
( 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),X15))) = 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),X15) = 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/sandbox/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
fof(c_0_2,negated_conjecture,
~ ! [X15] :
( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X15) != 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),X15))) != 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_3,negated_conjecture,
~ ! [X15] :
( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X15) != 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),X15))) != 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_2]) ).
fof(c_0_4,plain,
! [X17] :
( ( 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),X17))) = 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),X17) != 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),X17) = 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),X17))) != 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])])]) ).
fof(c_0_5,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_3])])])]) ).
cnf(c_0_6,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),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),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_4]) ).
cnf(c_0_7,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_5]) ).
cnf(c_0_8,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_5]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP019+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.51 % Computer : n012.cluster.edu
% 0.04/0.51 % Model : x86_64 x86_64
% 0.04/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.51 % Memory : 8046.5625MB
% 0.04/0.51 % OS : Linux 6.8.0-71-generic
% 0.04/0.51 % CPULimit : 300
% 0.04/0.51 % WCLimit : 300
% 0.04/0.51 % DateTime : Sun Sep 20 21:51:08 UTC 2026
% 0.04/0.51 % CPUTime :
% 0.04/0.51 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.53 Running first-order theorem proving
% 0.07/0.53 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
% 0.07/0.54 % Version: 3.5.1
% 0.07/0.54 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.07/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.54 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.07/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.07/0.54 % Starting sh5l with 300s (1) cores
% 0.07/0.54 % new_bool_3 with pid 904573 completed with status 0
% 0.07/0.54 % Result found by new_bool_3
% 0.07/0.54 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.07/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.54 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.07/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.54 % Search class: FHUPF-FFSF21-MFFFFFNN
% 0.07/0.54 % partial match(1): FHUPM-FFSF21-MFFFFFNN
% 0.07/0.54 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.54 % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.54 % SubtermCWHack with pid 904576 completed with status 0
% 0.07/0.54 % Result found by SubtermCWHack
% 0.07/0.54 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.07/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.54 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.07/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.54 % Search class: FHUPF-FFSF21-MFFFFFNN
% 0.07/0.54 % partial match(1): FHUPM-FFSF21-MFFFFFNN
% 0.07/0.54 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.54 % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.54 % Preprocessing time : 0.001 s
% 0.07/0.54
% 0.07/0.54 % Proof found!
% 0.07/0.54 % SZS status Theorem
% 0.07/0.54 % SZS output start CNFRefutation
% See solution above
% 0.07/0.54 % Parsed axioms : 29
% 0.07/0.54 % Removed by relevancy pruning/SinE : 27
% 0.07/0.54 % Initial clauses : 4
% 0.07/0.54 % Removed in clause preprocessing : 0
% 0.07/0.54 % Initial clauses in saturation : 4
% 0.07/0.54 % Processed clauses : 5
% 0.07/0.54 % ...of these trivial : 0
% 0.07/0.54 % ...subsumed : 0
% 0.07/0.54 % ...remaining for further processing : 5
% 0.07/0.54 % Other redundant clauses eliminated : 0
% 0.07/0.54 % Clauses deleted for lack of memory : 0
% 0.07/0.54 % Backward-subsumed : 0
% 0.07/0.54 % Backward-rewritten : 0
% 0.07/0.54 % Generated clauses : 5
% 0.07/0.54 % ...of the previous two non-redundant : 2
% 0.07/0.54 % ...aggressively subsumed : 0
% 0.07/0.54 % Contextual simplify-reflections : 0
% 0.07/0.54 % Paramodulations : 5
% 0.07/0.54 % Factorizations : 0
% 0.07/0.54 % NegExts : 0
% 0.07/0.54 % Equation resolutions : 0
% 0.07/0.54 % Disequality decompositions : 0
% 0.07/0.54 % Total rewrite steps : 1
% 0.07/0.54 % ...of those cached : 0
% 0.07/0.54 % Propositional unsat checks : 0
% 0.07/0.54 % Propositional check models : 0
% 0.07/0.54 % Propositional check unsatisfiable : 0
% 0.07/0.54 % Propositional clauses : 0
% 0.07/0.54 % Propositional clauses after purity: 0
% 0.07/0.54 % Propositional unsat core size : 0
% 0.07/0.54 % Propositional preprocessing time : 0.000
% 0.07/0.54 % Propositional encoding time : 0.000
% 0.07/0.54 % Propositional solver time : 0.000
% 0.07/0.54 % Success case prop preproc time : 0.000
% 0.07/0.54 % Success case prop encoding time : 0.000
% 0.07/0.54 % Success case prop solver time : 0.000
% 0.07/0.54 % Current number of processed clauses : 5
% 0.07/0.54 % Positive orientable unit clauses : 2
% 0.07/0.54 % Positive unorientable unit clauses: 0
% 0.07/0.54 % Negative unit clauses : 1
% 0.07/0.54 % Non-unit-clauses : 2
% 0.07/0.54 % Current number of unprocessed clauses: 1
% 0.07/0.54 % ...number of literals in the above : 2
% 0.07/0.54 % Current number of archived formulas : 0
% 0.07/0.54 % Current number of archived clauses : 0
% 0.07/0.54 % Clause-clause subsumption calls (NU) : 0
% 0.07/0.54 % Rec. Clause-clause subsumption calls : 0
% 0.07/0.54 % Non-unit clause-clause subsumptions : 0
% 0.07/0.54 % Unit Clause-clause subsumption calls : 0
% 0.07/0.54 % Rewrite failures with RHS unbound : 0
% 0.07/0.54 % BW rewrite match attempts : 2
% 0.07/0.54 % BW rewrite match successes : 0
% 0.07/0.54 % Condensation attempts : 0
% 0.07/0.54 % Condensation successes : 0
% 0.07/0.54 % Termbank termtop insertions : 1560
% 0.07/0.54 % Search garbage collected termcells : 326
% 0.07/0.54
% 0.07/0.54 % -------------------------------------------------
% 0.07/0.54 % User time : 0.002 s
% 0.07/0.54 % System time : 0.001 s
% 0.07/0.54 % Total time : 0.003 s
% 0.07/0.54 % Maximum resident set size: 3688 pages
% 0.07/0.54
% 0.07/0.54 % -------------------------------------------------
% 0.07/0.54 % User time : 0.003 s
% 0.07/0.54 % System time : 0.003 s
% 0.07/0.54 % Total time : 0.007 s
% 0.07/0.54 % Maximum resident set size: 4608 pages
% 0.07/0.54 % E exiting
%------------------------------------------------------------------------------