%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP023^1 : 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 : n017.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 0.22s 0.29s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 81 ( 7 ~; 4 |; 1 &; 68 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 7 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% 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_65,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_69,type,
mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Erealax_2Ereal > $o ) > ( mono_2Etyop_2Erealax_2Ereal > $o ) > $o ).
thf(decl_72,type,
mono_2Ec_2Ereal__topology_2Eball: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(decl_73,type,
mono_2Ec_2Ereal__topology_2Ebounded__def: ( mono_2Etyop_2Erealax_2Ereal > $o ) > $o ).
thf(decl_74,type,
mono_2Ec_2Ereal__topology_2Ecball: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(decl_98,type,
esk1_0: mono_2Etyop_2Erealax_2Ereal ).
thf(decl_99,type,
esk2_0: mono_2Etyop_2Erealax_2Ereal ).
thf(thm_2Ereal__topology_2EBOUNDED__BALL,conjecture,
! [X61: mono_2Etyop_2Erealax_2Ereal,X62: 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 @ X61 @ X62 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q93eA10ZUj/E---3.1_791888.p',thm_2Ereal__topology_2EBOUNDED__BALL) ).
thf(thm_2Ereal__topology_2EBOUNDED__SUBSET,axiom,
! [X63: mono_2Etyop_2Erealax_2Ereal > $o,X64: mono_2Etyop_2Erealax_2Ereal > $o] :
( ( ( mono_2Ec_2Ereal__topology_2Ebounded__def @ X64 )
& ( mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X63 @ X64 ) )
=> ( mono_2Ec_2Ereal__topology_2Ebounded__def @ X63 ) ),
file('/export/starexec/sandbox2/tmp/tmp.q93eA10ZUj/E---3.1_791888.p',thm_2Ereal__topology_2EBOUNDED__SUBSET) ).
thf(thm_2Ereal__topology_2EBALL__SUBSET__CBALL,axiom,
! [X61: mono_2Etyop_2Erealax_2Ereal,X62: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X61 @ X62 ) ) @ ( mono_2Ec_2Ereal__topology_2Ecball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X61 @ X62 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q93eA10ZUj/E---3.1_791888.p',thm_2Ereal__topology_2EBALL__SUBSET__CBALL) ).
thf(thm_2Ereal__topology_2EBOUNDED__CBALL,axiom,
! [X61: mono_2Etyop_2Erealax_2Ereal,X62: 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 @ X61 @ X62 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q93eA10ZUj/E---3.1_791888.p',thm_2Ereal__topology_2EBOUNDED__CBALL) ).
thf(c_0_4,negated_conjecture,
~ ! [X61: mono_2Etyop_2Erealax_2Ereal,X62: 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 @ X61 @ X62 ) ) ),
inference(assume_negation,[status(cth)],[thm_2Ereal__topology_2EBOUNDED__BALL]) ).
thf(c_0_5,plain,
! [X112: mono_2Etyop_2Erealax_2Ereal > $o,X113: mono_2Etyop_2Erealax_2Ereal > $o] :
( ~ ( mono_2Ec_2Ereal__topology_2Ebounded__def @ X113 )
| ~ ( mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X112 @ X113 )
| ( mono_2Ec_2Ereal__topology_2Ebounded__def @ X112 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Ereal__topology_2EBOUNDED__SUBSET])])]) ).
thf(c_0_6,plain,
! [X116: mono_2Etyop_2Erealax_2Ereal,X117: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X116 @ X117 ) ) @ ( mono_2Ec_2Ereal__topology_2Ecball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X116 @ X117 ) ) ),
inference(variable_rename,[status(thm)],[thm_2Ereal__topology_2EBALL__SUBSET__CBALL]) ).
thf(c_0_7,plain,
! [X114: mono_2Etyop_2Erealax_2Ereal,X115: 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 @ X114 @ X115 ) ) ),
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,
! [X29: mono_2Etyop_2Erealax_2Ereal > $o,X19: mono_2Etyop_2Erealax_2Ereal > $o] :
( ( mono_2Ec_2Ereal__topology_2Ebounded__def @ X29 )
| ~ ( mono_2Ec_2Ereal__topology_2Ebounded__def @ X19 )
| ~ ( mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ X29 @ X19 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_10,plain,
! [X23: mono_2Etyop_2Erealax_2Ereal,X35: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Epred__set_2ESUBSET_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X23 @ X35 ) ) @ ( mono_2Ec_2Ereal__topology_2Ecball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X23 @ X35 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_11,plain,
! [X23: mono_2Etyop_2Erealax_2Ereal,X35: 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 @ X23 @ X35 ) ) ),
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,
! [X23: mono_2Etyop_2Erealax_2Ereal,X35: 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 @ X23 @ X35 ) ) ),
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
% 0.00/0.02 % Problem : ITP023^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n017.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 19:31:07 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.26 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.q93eA10ZUj/E---3.1_791888.p
% 0.22/0.28 % Version: 3.5.1-ho
% 0.22/0.28 % Preprocessing class: HSLSSLSMSSSNHSA.
% 0.22/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.28 % Starting lpo1_def_fix with 1500s (5) cores
% 0.22/0.28 % Starting sh10 with 300s (1) cores
% 0.22/0.28 % Starting full_lambda_5 with 300s (1) cores
% 0.22/0.28 % Starting full_lambda_9 with 300s (1) cores
% 0.22/0.28 % full_lambda_9 with pid 791924 completed with status 0
% 0.22/0.28 % Result found by full_lambda_9
% 0.22/0.28 % Preprocessing class: HSLSSLSMSSSNHSA.
% 0.22/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.28 % Starting lpo1_def_fix with 1500s (5) cores
% 0.22/0.28 % Starting sh10 with 300s (1) cores
% 0.22/0.28 % Starting full_lambda_5 with 300s (1) cores
% 0.22/0.28 % Starting full_lambda_9 with 300s (1) cores
% 0.22/0.28 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.22/0.28 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.22/0.28 % Search class: HGUSM-FFMF31-DHSFFSBN
% 0.22/0.28 % partial match(3): HGUSM-FFMF32-SHSFMSBN
% 0.22/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.29 % SubtermCWHack with pid 791927 completed with status 0
% 0.22/0.29 % Result found by SubtermCWHack
% 0.22/0.29 % Preprocessing class: HSLSSLSMSSSNHSA.
% 0.22/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.29 % Starting lpo1_def_fix with 1500s (5) cores
% 0.22/0.29 % Starting sh10 with 300s (1) cores
% 0.22/0.29 % Starting full_lambda_5 with 300s (1) cores
% 0.22/0.29 % Starting full_lambda_9 with 300s (1) cores
% 0.22/0.29 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.22/0.29 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.22/0.29 % Search class: HGUSM-FFMF31-DHSFFSBN
% 0.22/0.29 % partial match(3): HGUSM-FFMF32-SHSFMSBN
% 0.22/0.29 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.29 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.29 % Preprocessing time : 0.002 s
% 0.22/0.29
% 0.22/0.29 % Proof found!
% 0.22/0.29 % SZS status Theorem
% 0.22/0.29 % SZS output start CNFRefutation
% See solution above
% 0.22/0.29 % Parsed axioms : 160
% 0.22/0.29 % Removed by relevancy pruning/SinE : 140
% 0.22/0.29 % Initial clauses : 27
% 0.22/0.29 % Removed in clause preprocessing : 2
% 0.22/0.29 % Initial clauses in saturation : 25
% 0.22/0.29 % Processed clauses : 8
% 0.22/0.29 % ...of these trivial : 0
% 0.22/0.29 % ...subsumed : 0
% 0.22/0.29 % ...remaining for further processing : 8
% 0.22/0.29 % Other redundant clauses eliminated : 0
% 0.22/0.29 % Clauses deleted for lack of memory : 0
% 0.22/0.29 % Backward-subsumed : 0
% 0.22/0.29 % Backward-rewritten : 1
% 0.22/0.29 % Generated clauses : 2
% 0.22/0.29 % ...of the previous two non-redundant : 2
% 0.22/0.29 % ...aggressively subsumed : 0
% 0.22/0.29 % Contextual simplify-reflections : 0
% 0.22/0.29 % Paramodulations : 1
% 0.22/0.29 % Factorizations : 0
% 0.22/0.29 % NegExts : 0
% 0.22/0.29 % Equation resolutions : 0
% 0.22/0.29 % Disequality decompositions : 0
% 0.22/0.29 % Total rewrite steps : 2
% 0.22/0.29 % ...of those cached : 0
% 0.22/0.29 % Propositional unsat checks : 0
% 0.22/0.29 % Propositional check models : 0
% 0.22/0.29 % Propositional check unsatisfiable : 0
% 0.22/0.29 % Propositional clauses : 0
% 0.22/0.29 % Propositional clauses after purity: 0
% 0.22/0.29 % Propositional unsat core size : 0
% 0.22/0.29 % Propositional preprocessing time : 0.000
% 0.22/0.29 % Propositional encoding time : 0.000
% 0.22/0.29 % Propositional solver time : 0.000
% 0.22/0.29 % Success case prop preproc time : 0.000
% 0.22/0.29 % Success case prop encoding time : 0.000
% 0.22/0.29 % Success case prop solver time : 0.000
% 0.22/0.29 % Current number of processed clauses : 7
% 0.22/0.29 % Positive orientable unit clauses : 5
% 0.22/0.29 % Positive unorientable unit clauses: 0
% 0.22/0.29 % Negative unit clauses : 1
% 0.22/0.29 % Non-unit-clauses : 1
% 0.22/0.29 % Current number of unprocessed clauses: 19
% 0.22/0.29 % ...number of literals in the above : 30
% 0.22/0.29 % Current number of archived formulas : 0
% 0.22/0.29 % Current number of archived clauses : 1
% 0.22/0.29 % Clause-clause subsumption calls (NU) : 0
% 0.22/0.29 % Rec. Clause-clause subsumption calls : 0
% 0.22/0.29 % Non-unit clause-clause subsumptions : 0
% 0.22/0.29 % Unit Clause-clause subsumption calls : 1
% 0.22/0.29 % Rewrite failures with RHS unbound : 0
% 0.22/0.29 % BW rewrite match attempts : 1
% 0.22/0.29 % BW rewrite match successes : 1
% 0.22/0.29 % Condensation attempts : 0
% 0.22/0.29 % Condensation successes : 0
% 0.22/0.29 % Termbank termtop insertions : 4803
% 0.22/0.29 % Search garbage collected termcells : 933
% 0.22/0.29
% 0.22/0.29 % -------------------------------------------------
% 0.22/0.29 % User time : 0.004 s
% 0.22/0.29 % System time : 0.003 s
% 0.22/0.29 % Total time : 0.007 s
% 0.22/0.29 % Maximum resident set size: 3852 pages
% 0.22/0.29
% 0.22/0.29 % -------------------------------------------------
% 0.22/0.29 % User time : 0.010 s
% 0.22/0.29 % System time : 0.007 s
% 0.22/0.29 % Total time : 0.017 s
% 0.22/0.29 % Maximum resident set size: 5120 pages
% 0.22/0.29 % E exiting
%------------------------------------------------------------------------------