%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP023^4 : 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 : n001.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 08:04:07 AM UTC 2026
% Result : Theorem 95.59s 60.84s
% Output : CNFRefutation 95.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 3 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 70 ( 5 ~; 2 |; 0 &; 62 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mono_2Etyop_2Erealax_2Ereal: $tType ).
thf(decl_sort2,type,
mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: $tType ).
thf(decl_8515,type,
mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
thf(decl_13482,type,
mono_2Ec_2Ereal__topology_2Eball: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(decl_13485,type,
mono_2Ec_2Ereal__topology_2Ebounded__def: ( mono_2Etyop_2Erealax_2Ereal > $o ) > $o ).
thf(decl_13486,type,
mono_2Ec_2Ereal__topology_2Ecball: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(decl_13504,type,
mono_2Ec_2Ereal__topology_2Einterior: ( mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(decl_13658,type,
esk1_0: mono_2Etyop_2Erealax_2Ereal ).
thf(decl_13659,type,
esk2_0: mono_2Etyop_2Erealax_2Ereal ).
thf(thm_2Ereal__topology_2EBOUNDED__BALL,conjecture,
! [X55561: mono_2Etyop_2Erealax_2Ereal,X55562: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X55561 @ X55562 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.jwea54CPeH/E---3.1_1715774.p',thm_2Ereal__topology_2EBOUNDED__BALL) ).
thf(thm_2Ereal__topology_2EBOUNDED__INTERIOR,axiom,
! [X54335: mono_2Etyop_2Erealax_2Ereal > $o] :
( ( mono_2Ec_2Ereal__topology_2Ebounded__def @ X54335 )
=> ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Einterior @ X54335 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.jwea54CPeH/E---3.1_1715774.p',thm_2Ereal__topology_2EBOUNDED__INTERIOR) ).
thf(thm_2Ereal__topology_2EINTERIOR__CBALL,axiom,
! [X54299: mono_2Etyop_2Erealax_2Ereal,X54300: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Ereal__topology_2Einterior @ ( mono_2Ec_2Ereal__topology_2Ecball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X54299 @ X54300 ) ) )
= ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X54299 @ X54300 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.jwea54CPeH/E---3.1_1715774.p',thm_2Ereal__topology_2EINTERIOR__CBALL) ).
thf(thm_2Ereal__topology_2EBOUNDED__CBALL,axiom,
! [X54338: mono_2Etyop_2Erealax_2Ereal,X54339: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Ecball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X54338 @ X54339 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.jwea54CPeH/E---3.1_1715774.p',thm_2Ereal__topology_2EBOUNDED__CBALL) ).
thf(c_0_4,negated_conjecture,
~ ! [X55561: mono_2Etyop_2Erealax_2Ereal,X55562: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X55561 @ X55562 ) ) ),
inference(assume_negation,[status(cth)],[thm_2Ereal__topology_2EBOUNDED__BALL]) ).
thf(c_0_5,plain,
! [X58099: mono_2Etyop_2Erealax_2Ereal > $o] :
( ~ ( mono_2Ec_2Ereal__topology_2Ebounded__def @ X58099 )
| ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Einterior @ X58099 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Ereal__topology_2EBOUNDED__INTERIOR])])]) ).
thf(c_0_6,plain,
! [X58144: mono_2Etyop_2Erealax_2Ereal,X58145: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Ereal__topology_2Einterior @ ( mono_2Ec_2Ereal__topology_2Ecball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X58144 @ X58145 ) ) )
= ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X58144 @ X58145 ) ) ),
inference(variable_rename,[status(thm)],[thm_2Ereal__topology_2EINTERIOR__CBALL]) ).
thf(c_0_7,plain,
! [X58102: mono_2Etyop_2Erealax_2Ereal,X58103: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Ecball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X58102 @ X58103 ) ) ),
inference(variable_rename,[status(thm)],[thm_2Ereal__topology_2EBOUNDED__CBALL]) ).
thf(c_0_8,negated_conjecture,
~ ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ esk1_0 @ esk2_0 ) ) ),
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_9,plain,
! [X32496: mono_2Etyop_2Erealax_2Ereal > $o] :
( ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Einterior @ X32496 ) )
| ~ ( mono_2Ec_2Ereal__topology_2Ebounded__def @ X32496 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_10,plain,
! [X32505: mono_2Etyop_2Erealax_2Ereal,X32556: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Ereal__topology_2Einterior @ ( mono_2Ec_2Ereal__topology_2Ecball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X32505 @ X32556 ) ) )
= ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X32505 @ X32556 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_11,plain,
! [X32505: mono_2Etyop_2Erealax_2Ereal,X32556: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Ecball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X32505 @ X32556 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,negated_conjecture,
~ ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ esk1_0 @ esk2_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_13,plain,
! [X32505: mono_2Etyop_2Erealax_2Ereal,X32556: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X32505 @ X32556 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
thf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP023^4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n001.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 19:41:53 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 26.02/26.17 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.jwea54CPeH/E---3.1_1715774.p
% 95.59/60.84 % Version: 3.5.1-ho
% 95.59/60.84 % partial match(4): HMLMSLSLSSSCHFA
% 95.59/60.84 % Preprocessing class: HMLLMLLLSSSCHSA.
% 95.59/60.84 % Scheduled 4 strats onto 8 cores with 282 seconds (2256 total)
% 95.59/60.84 % Starting new_ho_2 with 1128s (4) cores
% 95.59/60.84 % Starting sh3l with 564s (2) cores
% 95.59/60.84 % Starting lpo5_rw_fix with 282s (1) cores
% 95.59/60.84 % Starting full_lambda_7 with 282s (1) cores
% 95.59/60.84 % sh3l with pid 1716395 completed with status 0
% 95.59/60.84 % Result found by sh3l
% 95.59/60.84 % partial match(4): HMLMSLSLSSSCHFA
% 95.59/60.84 % Preprocessing class: HMLLMLLLSSSCHSA.
% 95.59/60.84 % Scheduled 4 strats onto 8 cores with 282 seconds (2256 total)
% 95.59/60.84 % Starting new_ho_2 with 1128s (4) cores
% 95.59/60.84 % Starting sh3l with 564s (2) cores
% 95.59/60.84 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 95.59/60.84 % SinE strategy is gf120_gu_RUU_F100_L01000
% 95.59/60.84 % Search class: HGHSM-SMLM32-DHSFFMBC
% 95.59/60.84 % partial match(1): HGHSM-SMLM32-DHSFFSBC
% 95.59/60.84 % Scheduled 7 strats onto 2 cores with 553 seconds (553 total)
% 95.59/60.84 % Starting SubtermCWHack with 50s (1) cores
% 95.59/60.84 % Starting sh3l with 56s (1) cores
% 95.59/60.84 % SubtermCWHack with pid 1716442 completed with status 0
% 95.59/60.84 % Result found by SubtermCWHack
% 95.59/60.84 % partial match(4): HMLMSLSLSSSCHFA
% 95.59/60.84 % Preprocessing class: HMLLMLLLSSSCHSA.
% 95.59/60.84 % Scheduled 4 strats onto 8 cores with 282 seconds (2256 total)
% 95.59/60.84 % Starting new_ho_2 with 1128s (4) cores
% 95.59/60.84 % Starting sh3l with 564s (2) cores
% 95.59/60.84 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 95.59/60.84 % SinE strategy is gf120_gu_RUU_F100_L01000
% 95.59/60.84 % Search class: HGHSM-SMLM32-DHSFFMBC
% 95.59/60.84 % partial match(1): HGHSM-SMLM32-DHSFFSBC
% 95.59/60.84 % Scheduled 7 strats onto 2 cores with 553 seconds (553 total)
% 95.59/60.84 % Starting SubtermCWHack with 50s (1) cores
% 95.59/60.84 % Preprocessing time : 2.402 s
% 95.59/60.84
% 95.59/60.84 % Proof found!
% 95.59/60.84 % SZS status Theorem
% 95.59/60.84 % SZS output start CNFRefutation
% See solution above
% 95.59/60.84 % Parsed axioms : 80588
% 95.59/60.84 % Removed by relevancy pruning/SinE : 79587
% 95.59/60.84 % Initial clauses : 40730
% 95.59/60.84 % Removed in clause preprocessing : 32
% 95.59/60.84 % Initial clauses in saturation : 40698
% 95.59/60.84 % Processed clauses : 5974
% 95.59/60.84 % ...of these trivial : 767
% 95.59/60.84 % ...subsumed : 3474
% 95.59/60.84 % ...remaining for further processing : 1733
% 95.59/60.84 % Other redundant clauses eliminated : 134
% 95.59/60.84 % Clauses deleted for lack of memory : 0
% 95.59/60.84 % Backward-subsumed : 47
% 95.59/60.84 % Backward-rewritten : 59
% 95.59/60.84 % Generated clauses : 32659
% 95.59/60.84 % ...of the previous two non-redundant : 24121
% 95.59/60.84 % ...aggressively subsumed : 0
% 95.59/60.84 % Contextual simplify-reflections : 0
% 95.59/60.84 % Paramodulations : 32413
% 95.59/60.84 % Factorizations : 18
% 95.59/60.84 % NegExts : 0
% 95.59/60.84 % Equation resolutions : 146
% 95.59/60.84 % Disequality decompositions : 0
% 95.59/60.84 % Total rewrite steps : 11842
% 95.59/60.84 % ...of those cached : 9806
% 95.59/60.84 % Propositional unsat checks : 0
% 95.59/60.84 % Propositional check models : 0
% 95.59/60.84 % Propositional check unsatisfiable : 0
% 95.59/60.84 % Propositional clauses : 0
% 95.59/60.84 % Propositional clauses after purity: 0
% 95.59/60.84 % Propositional unsat core size : 0
% 95.59/60.84 % Propositional preprocessing time : 0.000
% 95.59/60.84 % Propositional encoding time : 0.000
% 95.59/60.84 % Propositional solver time : 0.000
% 95.59/60.84 % Success case prop preproc time : 0.000
% 95.59/60.84 % Success case prop encoding time : 0.000
% 95.59/60.84 % Success case prop solver time : 0.000
% 95.59/60.84 % Current number of processed clauses : 1536
% 95.59/60.84 % Positive orientable unit clauses : 513
% 95.59/60.84 % Positive unorientable unit clauses: 11
% 95.59/60.84 % Negative unit clauses : 401
% 95.59/60.84 % Non-unit-clauses : 611
% 95.59/60.84 % Current number of unprocessed clauses: 58431
% 95.59/60.84 % ...number of literals in the above : 713454
% 95.59/60.84 % Current number of archived formulas : 0
% 95.59/60.84 % Current number of archived clauses : 114
% 95.59/60.84 % Clause-clause subsumption calls (NU) : 117538
% 95.59/60.84 % Rec. Clause-clause subsumption calls : 93992
% 95.59/60.84 % Non-unit clause-clause subsumptions : 856
% 95.59/60.84 % Unit Clause-clause subsumption calls : 103726
% 95.59/60.84 % Rewrite failures with RHS unbound : 17
% 95.59/60.84 % BW rewrite match attempts : 688
% 95.59/60.84 % BW rewrite match successes : 118
% 95.59/60.84 % Condensation attempts : 0
% 95.59/60.84 % Condensation successes : 0
% 95.59/60.84 % Termbank termtop insertions : 10136254
% 95.59/60.84 % Search garbage collected termcells : 668221
% 95.59/60.84
% 95.59/60.84 % -------------------------------------------------
% 95.59/60.84 % User time : 14.843 s
% 95.59/60.84 % System time : 0.536 s
% 95.59/60.84 % Total time : 15.379 s
% 95.59/60.84 % Maximum resident set size: 214908 pages
% 95.59/60.84
% 95.59/60.84 % -------------------------------------------------
% 95.59/60.84 % User time : 37.493 s
% 95.59/60.84 % System time : 0.959 s
% 95.59/60.84 % Total time : 38.452 s
% 95.59/60.84 % Maximum resident set size: 138124 pages
% 95.59/60.84 % E exiting
%------------------------------------------------------------------------------