%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP073^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 08:04:16 AM UTC 2026
% Result : Theorem 0.58s 0.43s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 1 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 93 ( 10 ~; 9 |; 2 &; 68 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 2 ^; 17 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
hF_Mirabelle_hf: $tType ).
thf(decl_43,type,
hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(decl_50,type,
ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(decl_73,type,
a: hF_Mirabelle_hf ).
thf(decl_74,type,
b: hF_Mirabelle_hf ).
thf(decl_86,type,
esk12_2: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(fact_6_less__eq__hf__def,axiom,
( ord_le976219883lle_hf
= ( ^ [X21: hF_Mirabelle_hf,X22: hF_Mirabelle_hf] :
! [X8: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X8 @ X21 )
=> ( hF_Mirabelle_hmem @ X8 @ X22 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.0boUD8SQ1F/E---3.1_823181.p',fact_6_less__eq__hf__def) ).
thf(conj_1,conjecture,
ord_le976219883lle_hf @ a @ b,
file('/export/starexec/sandbox/tmp/tmp.0boUD8SQ1F/E---3.1_823181.p',conj_1) ).
thf(conj_0,hypothesis,
! [X689: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X689 @ a )
=> ( hF_Mirabelle_hmem @ X689 @ b ) ),
file('/export/starexec/sandbox/tmp/tmp.0boUD8SQ1F/E---3.1_823181.p',conj_0) ).
thf(c_0_3,plain,
! [X1712: hF_Mirabelle_hf,X1713: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X1712 @ X1713 )
<=> ! [X8: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X8 @ X1712 )
=> ( hF_Mirabelle_hmem @ X8 @ X1713 ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_6_less__eq__hf__def])]) ).
thf(c_0_4,negated_conjecture,
~ ( ord_le976219883lle_hf @ a @ b ),
inference(assume_negation,[status(cth)],[conj_1]) ).
thf(c_0_5,hypothesis,
! [X2955: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ X2955 @ a )
| ( hF_Mirabelle_hmem @ X2955 @ b ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])]) ).
thf(c_0_6,plain,
! [X1805: hF_Mirabelle_hf,X1806: hF_Mirabelle_hf,X1807: hF_Mirabelle_hf,X1808: hF_Mirabelle_hf,X1809: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ X1805 @ X1806 )
| ~ ( hF_Mirabelle_hmem @ X1807 @ X1805 )
| ( hF_Mirabelle_hmem @ X1807 @ X1806 ) )
& ( ( hF_Mirabelle_hmem @ ( esk12_2 @ X1808 @ X1809 ) @ X1808 )
| ( ord_le976219883lle_hf @ X1808 @ X1809 ) )
& ( ~ ( hF_Mirabelle_hmem @ ( esk12_2 @ X1808 @ X1809 ) @ X1809 )
| ( ord_le976219883lle_hf @ X1808 @ X1809 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])]) ).
thf(c_0_7,negated_conjecture,
~ ( ord_le976219883lle_hf @ a @ b ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_8,hypothesis,
! [X1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X1 @ b )
| ~ ( hF_Mirabelle_hmem @ X1 @ a ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( esk12_2 @ X1 @ X2 ) @ X1 )
| ( ord_le976219883lle_hf @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,negated_conjecture,
~ ( ord_le976219883lle_hf @ a @ b ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X1 @ X2 )
| ~ ( hF_Mirabelle_hmem @ ( esk12_2 @ X1 @ X2 ) @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_12,hypothesis,
! [X1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( esk12_2 @ a @ X1 ) @ b )
| ( ord_le976219883lle_hf @ a @ X1 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_13,negated_conjecture,
~ ( ord_le976219883lle_hf @ a @ b ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_14,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP073^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n016.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:52:19 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.21/0.28 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.0boUD8SQ1F/E---3.1_823181.p
% 0.58/0.43 % Version: 3.5.1-ho
% 0.58/0.43 % Preprocessing class: HSLSSMSSSSMCHFA.
% 0.58/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.58/0.43 % Starting sh3 with 1500s (5) cores
% 0.58/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.58/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.58/0.43 % Starting new_bool_2 with 300s (1) cores
% 0.58/0.43 % sh3 with pid 823194 completed with status 0
% 0.58/0.43 % Result found by sh3
% 0.58/0.43 % Preprocessing class: HSLSSMSSSSMCHFA.
% 0.58/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.58/0.43 % Starting sh3 with 1500s (5) cores
% 0.58/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.58/0.43 % No SInE strategy applied
% 0.58/0.43 % Search class: HGHSM-FSLS32-SHFFFSBC
% 0.58/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.58/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.58/0.43 % Starting sh3 with 151s (1) cores
% 0.58/0.43 % Starting new_bool_1 with 169s (1) cores
% 0.58/0.43 % Starting new_bool_2 with 169s (1) cores
% 0.58/0.43 % Starting new_bool_9 with 169s (1) cores
% 0.58/0.43 % SubtermCWHack with pid 823201 completed with status 0
% 0.58/0.43 % Result found by SubtermCWHack
% 0.58/0.43 % Preprocessing class: HSLSSMSSSSMCHFA.
% 0.58/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.58/0.43 % Starting sh3 with 1500s (5) cores
% 0.58/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.58/0.43 % No SInE strategy applied
% 0.58/0.43 % Search class: HGHSM-FSLS32-SHFFFSBC
% 0.58/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.58/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.58/0.43 % Preprocessing time : 0.014 s
% 0.58/0.43
% 0.58/0.43 % Proof found!
% 0.58/0.43 % SZS status Theorem
% 0.58/0.43 % SZS output start CNFRefutation
% See solution above
% 0.58/0.43 % Parsed axioms : 406
% 0.58/0.43 % Removed by relevancy pruning/SinE : 0
% 0.58/0.43 % Initial clauses : 1008
% 0.58/0.43 % Removed in clause preprocessing : 114
% 0.58/0.43 % Initial clauses in saturation : 894
% 0.58/0.43 % Processed clauses : 530
% 0.58/0.43 % ...of these trivial : 31
% 0.58/0.43 % ...subsumed : 154
% 0.58/0.43 % ...remaining for further processing : 345
% 0.58/0.43 % Other redundant clauses eliminated : 52
% 0.58/0.43 % Clauses deleted for lack of memory : 0
% 0.58/0.43 % Backward-subsumed : 1
% 0.58/0.43 % Backward-rewritten : 0
% 0.58/0.43 % Generated clauses : 948
% 0.58/0.43 % ...of the previous two non-redundant : 690
% 0.58/0.43 % ...aggressively subsumed : 0
% 0.58/0.43 % Contextual simplify-reflections : 2
% 0.58/0.43 % Paramodulations : 892
% 0.58/0.43 % Factorizations : 4
% 0.58/0.43 % NegExts : 0
% 0.58/0.43 % Equation resolutions : 52
% 0.58/0.43 % Disequality decompositions : 0
% 0.58/0.43 % Total rewrite steps : 276
% 0.58/0.43 % ...of those cached : 197
% 0.58/0.43 % Propositional unsat checks : 0
% 0.58/0.43 % Propositional check models : 0
% 0.58/0.43 % Propositional check unsatisfiable : 0
% 0.58/0.43 % Propositional clauses : 0
% 0.58/0.43 % Propositional clauses after purity: 0
% 0.58/0.43 % Propositional unsat core size : 0
% 0.58/0.43 % Propositional preprocessing time : 0.000
% 0.58/0.43 % Propositional encoding time : 0.000
% 0.58/0.43 % Propositional solver time : 0.000
% 0.58/0.43 % Success case prop preproc time : 0.000
% 0.58/0.43 % Success case prop encoding time : 0.000
% 0.58/0.43 % Success case prop solver time : 0.000
% 0.58/0.43 % Current number of processed clauses : 292
% 0.58/0.43 % Positive orientable unit clauses : 100
% 0.58/0.43 % Positive unorientable unit clauses: 0
% 0.58/0.43 % Negative unit clauses : 76
% 0.58/0.43 % Non-unit-clauses : 116
% 0.58/0.43 % Current number of unprocessed clauses: 1053
% 0.58/0.43 % ...number of literals in the above : 3632
% 0.58/0.43 % Current number of archived formulas : 0
% 0.58/0.43 % Current number of archived clauses : 1
% 0.58/0.43 % Clause-clause subsumption calls (NU) : 1604
% 0.58/0.43 % Rec. Clause-clause subsumption calls : 1471
% 0.58/0.43 % Non-unit clause-clause subsumptions : 94
% 0.58/0.43 % Unit Clause-clause subsumption calls : 1462
% 0.58/0.43 % Rewrite failures with RHS unbound : 0
% 0.58/0.43 % BW rewrite match attempts : 489
% 0.58/0.43 % BW rewrite match successes : 1
% 0.58/0.43 % Condensation attempts : 0
% 0.58/0.43 % Condensation successes : 0
% 0.58/0.43 % Termbank termtop insertions : 84244
% 0.58/0.43 % Search garbage collected termcells : 21365
% 0.58/0.43
% 0.58/0.43 % -------------------------------------------------
% 0.58/0.43 % User time : 0.104 s
% 0.58/0.43 % System time : 0.015 s
% 0.58/0.43 % Total time : 0.119 s
% 0.58/0.43 % Maximum resident set size: 7960 pages
% 0.58/0.43
% 0.58/0.43 % -------------------------------------------------
% 0.58/0.43 % User time : 0.248 s
% 0.58/0.43 % System time : 0.041 s
% 0.58/0.43 % Total time : 0.289 s
% 0.58/0.43 % Maximum resident set size: 5888 pages
% 0.58/0.43 % E exiting
%------------------------------------------------------------------------------