%------------------------------------------------------------------------------
% 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 : n014.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 : Wed Sep 30 08:04:05 AM UTC 2026
% Result : Theorem 0.26s 0.26s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 18 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 13 ~; 3 |; 2 &; 27 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mono_2Etyop_2Enum_2Enum: $tType ).
thf(decl_sort2,type,
mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: $tType ).
thf(decl_59,type,
mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).
thf(decl_64,type,
mono_2Ec_2Ecomplex_2Ecomplex__inv: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
thf(decl_65,type,
mono_2Ec_2Ecomplex_2Ecomplex__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
thf(decl_81,type,
esk1_0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
thf(thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
! [X35: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X35
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
=> ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X35 )
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4d8nYHKarN/E---3.1_3107694.p',thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
thf(thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
! [X35: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X35 )
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
<=> ( X35
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4d8nYHKarN/E---3.1_3107694.p',thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
thf(c_0_2,negated_conjecture,
~ ! [X35: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X35
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
=> ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X35 )
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
inference(assume_negation,[status(cth)],[thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).
thf(c_0_3,negated_conjecture,
~ ! [X35: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X35
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
=> ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X35 )
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
thf(c_0_4,plain,
! [X39: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X39 )
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
| ( X39
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) )
& ( ( X39
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
| ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X39 )
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Ecomplex_2ECOMPLEX__INV__EQ__0])])]) ).
thf(c_0_5,negated_conjecture,
( ( esk1_0
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
& ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ esk1_0 )
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
thf(c_0_6,plain,
! [X19: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X19
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
| ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X19 )
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ esk1_0 )
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
( esk1_0
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(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
% 0.00/0.03 % Problem : ITP019^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n014.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 19:32:59 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.24 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=300 /export/starexec/sandbox/tmp/tmp.4d8nYHKarN/E---3.1_3107694.p
% 0.26/0.26 % Version: 3.5.1-ho
% 0.26/0.26 % Preprocessing class: HSLSSLSMSSSNSFA.
% 0.26/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.26 % Starting additional_ho_4 with 1500s (5) cores
% 0.26/0.26 % Starting pre_casc_8 with 300s (1) cores
% 0.26/0.26 % Starting pre_casc_5 with 300s (1) cores
% 0.26/0.26 % Starting pre_casc_6 with 300s (1) cores
% 0.26/0.26 % pre_casc_5 with pid 3107709 completed with status 0
% 0.26/0.26 % Result found by pre_casc_5
% 0.26/0.26 % Preprocessing class: HSLSSLSMSSSNSFA.
% 0.26/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.26 % Starting additional_ho_4 with 1500s (5) cores
% 0.26/0.26 % Starting pre_casc_8 with 300s (1) cores
% 0.26/0.26 % Starting pre_casc_5 with 300s (1) cores
% 0.26/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,3,,5,20000,1.0,true))
% 0.26/0.26 % SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.26/0.26 % Search class: HHUPF-FFSF11-SSFFFFNN
% 0.26/0.26 % partial match(1): HHUPF-FFSF11-SSSFFFNN
% 0.26/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.26/0.26 % SubtermCWHack with pid 3107711 completed with status 0
% 0.26/0.26 % Result found by SubtermCWHack
% 0.26/0.26 % Preprocessing class: HSLSSLSMSSSNSFA.
% 0.26/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.26 % Starting additional_ho_4 with 1500s (5) cores
% 0.26/0.26 % Starting pre_casc_8 with 300s (1) cores
% 0.26/0.26 % Starting pre_casc_5 with 300s (1) cores
% 0.26/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,3,,5,20000,1.0,true))
% 0.26/0.26 % SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.26/0.26 % Search class: HHUPF-FFSF11-SSFFFFNN
% 0.26/0.26 % partial match(1): HHUPF-FFSF11-SSSFFFNN
% 0.26/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.26/0.26 % Preprocessing time : 0.001 s
% 0.26/0.26
% 0.26/0.26 % Proof found!
% 0.26/0.26 % SZS status Theorem
% 0.26/0.26 % SZS output start CNFRefutation
% See solution above
% 0.26/0.26 % Parsed axioms : 104
% 0.26/0.26 % Removed by relevancy pruning/SinE : 102
% 0.26/0.26 % Initial clauses : 4
% 0.26/0.26 % Removed in clause preprocessing : 0
% 0.26/0.26 % Initial clauses in saturation : 4
% 0.26/0.26 % Processed clauses : 5
% 0.26/0.26 % ...of these trivial : 0
% 0.26/0.26 % ...subsumed : 0
% 0.26/0.26 % ...remaining for further processing : 5
% 0.26/0.26 % Other redundant clauses eliminated : 1
% 0.26/0.26 % Clauses deleted for lack of memory : 0
% 0.26/0.26 % Backward-subsumed : 0
% 0.26/0.26 % Backward-rewritten : 0
% 0.26/0.26 % Generated clauses : 2
% 0.26/0.26 % ...of the previous two non-redundant : 1
% 0.26/0.26 % ...aggressively subsumed : 0
% 0.26/0.26 % Contextual simplify-reflections : 0
% 0.26/0.26 % Paramodulations : 1
% 0.26/0.26 % Factorizations : 0
% 0.26/0.26 % NegExts : 0
% 0.26/0.26 % Equation resolutions : 1
% 0.26/0.26 % Disequality decompositions : 0
% 0.26/0.26 % Total rewrite steps : 0
% 0.26/0.26 % ...of those cached : 0
% 0.26/0.26 % Propositional unsat checks : 0
% 0.26/0.26 % Propositional check models : 0
% 0.26/0.26 % Propositional check unsatisfiable : 0
% 0.26/0.26 % Propositional clauses : 0
% 0.26/0.26 % Propositional clauses after purity: 0
% 0.26/0.26 % Propositional unsat core size : 0
% 0.26/0.26 % Propositional preprocessing time : 0.000
% 0.26/0.26 % Propositional encoding time : 0.000
% 0.26/0.26 % Propositional solver time : 0.000
% 0.26/0.26 % Success case prop preproc time : 0.000
% 0.26/0.26 % Success case prop encoding time : 0.000
% 0.26/0.26 % Success case prop solver time : 0.000
% 0.26/0.26 % Current number of processed clauses : 4
% 0.26/0.26 % Positive orientable unit clauses : 2
% 0.26/0.26 % Positive unorientable unit clauses: 0
% 0.26/0.26 % Negative unit clauses : 1
% 0.26/0.26 % Non-unit-clauses : 1
% 0.26/0.26 % Current number of unprocessed clauses: 0
% 0.26/0.26 % ...number of literals in the above : 0
% 0.26/0.26 % Current number of archived formulas : 0
% 0.26/0.26 % Current number of archived clauses : 0
% 0.26/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.26/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.26/0.26 % Non-unit clause-clause subsumptions : 0
% 0.26/0.26 % Unit Clause-clause subsumption calls : 0
% 0.26/0.26 % Rewrite failures with RHS unbound : 0
% 0.26/0.26 % BW rewrite match attempts : 0
% 0.26/0.26 % BW rewrite match successes : 0
% 0.26/0.26 % Condensation attempts : 0
% 0.26/0.26 % Condensation successes : 0
% 0.26/0.26 % Termbank termtop insertions : 1206
% 0.26/0.26 % Search garbage collected termcells : 418
% 0.26/0.26
% 0.26/0.26 % -------------------------------------------------
% 0.26/0.26 % User time : 0.002 s
% 0.26/0.26 % System time : 0.002 s
% 0.26/0.26 % Total time : 0.005 s
% 0.26/0.26 % Maximum resident set size: 3756 pages
% 0.26/0.26
% 0.26/0.26 % -------------------------------------------------
% 0.26/0.26 % User time : 0.004 s
% 0.26/0.26 % System time : 0.009 s
% 0.26/0.26 % Total time : 0.013 s
% 0.26/0.26 % Maximum resident set size: 4864 pages
% 0.26/0.26 % E exiting
%------------------------------------------------------------------------------