%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP019^4 : 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 : n019.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 28.64s 28.85s
% Output : CNFRefutation 28.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 16 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 43 ( 10 ~; 0 |; 1 &; 29 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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_211,type,
mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).
thf(decl_10214,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_10217,type,
mono_2Ec_2Ecomplex_2Ecomplex__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
thf(decl_10227,type,
esk1_0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
thf(thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
! [X42872: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X42872
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
=> ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X42872 )
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.SXeJfKCx0d/E---3.1_1247044.p',thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
thf(thm_2Ecomplex_2ECOMPLEX__INV__INV,axiom,
! [X42869: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X42869 ) )
= X42869 ),
file('/export/starexec/sandbox/tmp/tmp.SXeJfKCx0d/E---3.1_1247044.p',thm_2Ecomplex_2ECOMPLEX__INV__INV) ).
thf(thm_2Ecomplex_2ECOMPLEX__INV__0,axiom,
( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
file('/export/starexec/sandbox/tmp/tmp.SXeJfKCx0d/E---3.1_1247044.p',thm_2Ecomplex_2ECOMPLEX__INV__0) ).
thf(c_0_3,negated_conjecture,
~ ! [X42872: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X42872
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
=> ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X42872 )
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
inference(assume_negation,[status(cth)],[thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).
thf(c_0_4,negated_conjecture,
~ ! [X42872: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X42872
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
=> ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X42872 )
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,plain,
! [X43021: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X43021 ) )
= X43021 ),
inference(variable_rename,[status(thm)],[thm_2Ecomplex_2ECOMPLEX__INV__INV]) ).
thf(c_0_6,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_4])])])]) ).
thf(c_0_7,plain,
! [X35701: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X35701 ) )
= X35701 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,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_6]) ).
thf(c_0_9,plain,
( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
inference(split_conjunct,[status(thm)],[thm_2Ecomplex_2ECOMPLEX__INV__0]) ).
thf(c_0_10,negated_conjecture,
( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
= esk1_0 ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,negated_conjecture,
( esk1_0
!= ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_12,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP019^4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n019.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 19:33:35 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 16.33/16.47 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.SXeJfKCx0d/E---3.1_1247044.p
% 28.64/28.85 % Version: 3.5.1-ho
% 28.64/28.85 % partial match(3): HMLMSLSLSSSCHFA
% 28.64/28.85 % Preprocessing class: HMLLMLLLSSSCHFA.
% 28.64/28.85 % Scheduled 4 strats onto 8 cores with 289 seconds (2312 total)
% 28.64/28.85 % Starting new_ho_2 with 1156s (4) cores
% 28.64/28.85 % Starting sh3l with 578s (2) cores
% 28.64/28.85 % Starting lpo5_rw_fix with 289s (1) cores
% 28.64/28.85 % Starting full_lambda_7 with 289s (1) cores
% 28.64/28.85 % lpo5_rw_fix with pid 1247848 completed with status 0
% 28.64/28.85 % Result found by lpo5_rw_fix
% 28.64/28.85 % partial match(3): HMLMSLSLSSSCHFA
% 28.64/28.85 % Preprocessing class: HMLLMLLLSSSCHFA.
% 28.64/28.85 % Scheduled 4 strats onto 8 cores with 289 seconds (2312 total)
% 28.64/28.85 % Starting new_ho_2 with 1156s (4) cores
% 28.64/28.85 % Starting sh3l with 578s (2) cores
% 28.64/28.85 % Starting lpo5_rw_fix with 289s (1) cores
% 28.64/28.85 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 28.64/28.85 % SinE strategy is gf120_gu_RUU_F100_L01000
% 28.64/28.85 % Search class: HGUPM-FFMM21-MHFFFFNN
% 28.64/28.85 % partial match(3): FGUNM-FFMM21-MFFFFFNN
% 28.64/28.85 % Scheduled 7 strats onto 1 cores with 289 seconds (289 total)
% 28.64/28.85 % Starting SubtermCWHack with 27s (1) cores
% 28.64/28.85 % SubtermCWHack with pid 1247851 completed with status 0
% 28.64/28.85 % Result found by SubtermCWHack
% 28.64/28.85 % partial match(3): HMLMSLSLSSSCHFA
% 28.64/28.85 % Preprocessing class: HMLLMLLLSSSCHFA.
% 28.64/28.85 % Scheduled 4 strats onto 8 cores with 289 seconds (2312 total)
% 28.64/28.85 % Starting new_ho_2 with 1156s (4) cores
% 28.64/28.85 % Starting sh3l with 578s (2) cores
% 28.64/28.85 % Starting lpo5_rw_fix with 289s (1) cores
% 28.64/28.85 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 28.64/28.85 % SinE strategy is gf120_gu_RUU_F100_L01000
% 28.64/28.85 % Search class: HGUPM-FFMM21-MHFFFFNN
% 28.64/28.85 % partial match(3): FGUNM-FFMM21-MFFFFFNN
% 28.64/28.85 % Scheduled 7 strats onto 1 cores with 289 seconds (289 total)
% 28.64/28.85 % Starting SubtermCWHack with 27s (1) cores
% 28.64/28.85 % Preprocessing time : 0.042 s
% 28.64/28.85
% 28.64/28.85 % Proof found!
% 28.64/28.85 % SZS status Theorem
% 28.64/28.85 % SZS output start CNFRefutation
% See solution above
% 28.64/28.85 % Parsed axioms : 63455
% 28.64/28.85 % Removed by relevancy pruning/SinE : 63378
% 28.64/28.85 % Initial clauses : 98
% 28.64/28.85 % Removed in clause preprocessing : 6
% 28.64/28.85 % Initial clauses in saturation : 92
% 28.64/28.85 % Processed clauses : 10
% 28.64/28.85 % ...of these trivial : 0
% 28.64/28.85 % ...subsumed : 0
% 28.64/28.85 % ...remaining for further processing : 9
% 28.64/28.85 % Other redundant clauses eliminated : 0
% 28.64/28.85 % Clauses deleted for lack of memory : 0
% 28.64/28.85 % Backward-subsumed : 0
% 28.64/28.85 % Backward-rewritten : 1
% 28.64/28.85 % Generated clauses : 2
% 28.64/28.85 % ...of the previous two non-redundant : 1
% 28.64/28.85 % ...aggressively subsumed : 0
% 28.64/28.85 % Contextual simplify-reflections : 0
% 28.64/28.85 % Paramodulations : 2
% 28.64/28.85 % Factorizations : 0
% 28.64/28.85 % NegExts : 0
% 28.64/28.85 % Equation resolutions : 0
% 28.64/28.85 % Disequality decompositions : 0
% 28.64/28.85 % Total rewrite steps : 4
% 28.64/28.85 % ...of those cached : 0
% 28.64/28.85 % Propositional unsat checks : 0
% 28.64/28.85 % Propositional check models : 0
% 28.64/28.85 % Propositional check unsatisfiable : 0
% 28.64/28.85 % Propositional clauses : 0
% 28.64/28.85 % Propositional clauses after purity: 0
% 28.64/28.85 % Propositional unsat core size : 0
% 28.64/28.85 % Propositional preprocessing time : 0.000
% 28.64/28.85 % Propositional encoding time : 0.000
% 28.64/28.85 % Propositional solver time : 0.000
% 28.64/28.85 % Success case prop preproc time : 0.000
% 28.64/28.85 % Success case prop encoding time : 0.000
% 28.64/28.85 % Success case prop solver time : 0.000
% 28.64/28.85 % Current number of processed clauses : 8
% 28.64/28.85 % Positive orientable unit clauses : 6
% 28.64/28.85 % Positive unorientable unit clauses: 0
% 28.64/28.85 % Negative unit clauses : 2
% 28.64/28.85 % Non-unit-clauses : 0
% 28.64/28.85 % Current number of unprocessed clauses: 83
% 28.64/28.85 % ...number of literals in the above : 130
% 28.64/28.85 % Current number of archived formulas : 0
% 28.64/28.85 % Current number of archived clauses : 1
% 28.64/28.85 % Clause-clause subsumption calls (NU) : 0
% 28.64/28.85 % Rec. Clause-clause subsumption calls : 0
% 28.64/28.85 % Non-unit clause-clause subsumptions : 0
% 28.64/28.85 % Unit Clause-clause subsumption calls : 1
% 28.64/28.85 % Rewrite failures with RHS unbound : 0
% 28.64/28.85 % BW rewrite match attempts : 1
% 28.64/28.85 % BW rewrite match successes : 1
% 28.64/28.85 % Condensation attempts : 0
% 28.64/28.85 % Condensation successes : 0
% 28.64/28.85 % Termbank termtop insertions : 2091019
% 28.64/28.85 % Search garbage collected termcells : 445411
% 28.64/28.85
% 28.64/28.85 % -------------------------------------------------
% 28.64/28.85 % User time : 0.449 s
% 28.64/28.85 % System time : 0.231 s
% 28.64/28.85 % Total time : 0.680 s
% 28.64/28.85 % Maximum resident set size: 126308 pages
% 28.64/28.85
% 28.64/28.85 % -------------------------------------------------
% 28.64/28.85 % User time : 11.840 s
% 28.64/28.85 % System time : 0.405 s
% 28.64/28.85 % Total time : 12.245 s
% 28.64/28.85 % Maximum resident set size: 109148 pages
% 28.64/28.85 % E exiting
%------------------------------------------------------------------------------