%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP049^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 08:04:12 AM UTC 2026
% Result : Theorem 0.24s 0.29s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 8 ~; 4 |; 0 &; 48 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
product_prod_nat_nat: $tType ).
thf(decl_sort2,type,
a: $tType ).
thf(decl_sort3,type,
set_Pr1986765409at_nat: $tType ).
thf(decl_sort4,type,
nat: $tType ).
thf(decl_24,type,
edmond475474835dges_a: ( product_prod_nat_nat > a ) > nat > nat > set_Pr1986765409at_nat ).
thf(decl_26,type,
finite772653738at_nat: set_Pr1986765409at_nat > $o ).
thf(decl_33,type,
e_a: ( product_prod_nat_nat > a ) > set_Pr1986765409at_nat ).
thf(decl_52,type,
ord_le841296385at_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o ).
thf(decl_85,type,
c: product_prod_nat_nat > a ).
thf(decl_86,type,
s: nat ).
thf(decl_87,type,
t: nat ).
thf(conj_0,conjecture,
finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ),
file('/export/starexec/sandbox2/tmp/tmp.UIQF2Hl5dA/E---3.1_4019858.p',conj_0) ).
thf(fact_56_rev__finite__subset,axiom,
! [X78: set_Pr1986765409at_nat,X31: set_Pr1986765409at_nat] :
( ( finite772653738at_nat @ X78 )
=> ( ( ord_le841296385at_nat @ X31 @ X78 )
=> ( finite772653738at_nat @ X31 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UIQF2Hl5dA/E---3.1_4019858.p',fact_56_rev__finite__subset) ).
thf(fact_4_spEdges__ss__E,axiom,
ord_le841296385at_nat @ ( edmond475474835dges_a @ c @ s @ t ) @ ( e_a @ c ),
file('/export/starexec/sandbox2/tmp/tmp.UIQF2Hl5dA/E---3.1_4019858.p',fact_4_spEdges__ss__E) ).
thf(fact_3_finite__E,axiom,
finite772653738at_nat @ ( e_a @ c ),
file('/export/starexec/sandbox2/tmp/tmp.UIQF2Hl5dA/E---3.1_4019858.p',fact_3_finite__E) ).
thf(c_0_4,negated_conjecture,
~ ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,negated_conjecture,
~ ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
! [X896: set_Pr1986765409at_nat,X897: set_Pr1986765409at_nat] :
( ~ ( finite772653738at_nat @ X896 )
| ~ ( ord_le841296385at_nat @ X897 @ X896 )
| ( finite772653738at_nat @ X897 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_56_rev__finite__subset])])]) ).
thf(c_0_7,negated_conjecture,
~ ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
! [X31: set_Pr1986765409at_nat,X4: set_Pr1986765409at_nat] :
( ( finite772653738at_nat @ X31 )
| ~ ( finite772653738at_nat @ X4 )
| ~ ( ord_le841296385at_nat @ X31 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,plain,
ord_le841296385at_nat @ ( edmond475474835dges_a @ c @ s @ t ) @ ( e_a @ c ),
inference(split_conjunct,[status(thm)],[fact_4_spEdges__ss__E]) ).
thf(c_0_10,plain,
finite772653738at_nat @ ( e_a @ c ),
inference(split_conjunct,[status(thm)],[fact_3_finite__E]) ).
thf(c_0_11,negated_conjecture,
~ ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP049^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n015.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 19:46:47 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.25 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.UIQF2Hl5dA/E---3.1_4019858.p
% 0.24/0.29 % Version: 3.5.1-ho
% 0.24/0.29 % Preprocessing class: HSLSSMSSSSLNHSA.
% 0.24/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29 % Starting pre_casc_6 with 1200s (4) cores
% 0.24/0.29 % Starting sh4 with 600s (2) cores
% 0.24/0.29 % Starting pre_casc_4 with 300s (1) cores
% 0.24/0.29 % Starting full_lambda_7 with 300s (1) cores
% 0.24/0.29 % pre_casc_4 with pid 4019887 completed with status 0
% 0.24/0.29 % Result found by pre_casc_4
% 0.24/0.29 % Preprocessing class: HSLSSMSSSSLNHSA.
% 0.24/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29 % Starting pre_casc_6 with 1200s (4) cores
% 0.24/0.29 % Starting sh4 with 600s (2) cores
% 0.24/0.29 % Starting pre_casc_4 with 300s (1) cores
% 0.24/0.29 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true))
% 0.24/0.29 % SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.24/0.29 % Search class: HGUSM-FFMS32-DHSFFSBN
% 0.24/0.29 % partial match(3): HGUSM-FFMF32-SHSFMSBN
% 0.24/0.29 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.29 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.29 % SubtermCWHack with pid 4019889 completed with status 0
% 0.24/0.29 % Result found by SubtermCWHack
% 0.24/0.29 % Preprocessing class: HSLSSMSSSSLNHSA.
% 0.24/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29 % Starting pre_casc_6 with 1200s (4) cores
% 0.24/0.29 % Starting sh4 with 600s (2) cores
% 0.24/0.29 % Starting pre_casc_4 with 300s (1) cores
% 0.24/0.29 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true))
% 0.24/0.29 % SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.24/0.29 % Search class: HGUSM-FFMS32-DHSFFSBN
% 0.24/0.29 % partial match(3): HGUSM-FFMF32-SHSFMSBN
% 0.24/0.29 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.29 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.29 % Preprocessing time : 0.003 s
% 0.24/0.29
% 0.24/0.29 % Proof found!
% 0.24/0.29 % SZS status Theorem
% 0.24/0.29 % SZS output start CNFRefutation
% See solution above
% 0.24/0.29 % Parsed axioms : 435
% 0.24/0.29 % Removed by relevancy pruning/SinE : 367
% 0.24/0.29 % Initial clauses : 105
% 0.24/0.29 % Removed in clause preprocessing : 11
% 0.24/0.29 % Initial clauses in saturation : 94
% 0.24/0.29 % Processed clauses : 23
% 0.24/0.29 % ...of these trivial : 1
% 0.24/0.29 % ...subsumed : 2
% 0.24/0.29 % ...remaining for further processing : 20
% 0.24/0.29 % Other redundant clauses eliminated : 5
% 0.24/0.29 % Clauses deleted for lack of memory : 0
% 0.24/0.29 % Backward-subsumed : 0
% 0.24/0.29 % Backward-rewritten : 1
% 0.24/0.29 % Generated clauses : 11
% 0.24/0.29 % ...of the previous two non-redundant : 0
% 0.24/0.29 % ...aggressively subsumed : 0
% 0.24/0.29 % Contextual simplify-reflections : 0
% 0.24/0.29 % Paramodulations : 6
% 0.24/0.29 % Factorizations : 0
% 0.24/0.29 % NegExts : 0
% 0.24/0.29 % Equation resolutions : 5
% 0.24/0.29 % Disequality decompositions : 0
% 0.24/0.29 % Total rewrite steps : 8
% 0.24/0.29 % ...of those cached : 5
% 0.24/0.29 % Propositional unsat checks : 0
% 0.24/0.29 % Propositional check models : 0
% 0.24/0.29 % Propositional check unsatisfiable : 0
% 0.24/0.29 % Propositional clauses : 0
% 0.24/0.29 % Propositional clauses after purity: 0
% 0.24/0.29 % Propositional unsat core size : 0
% 0.24/0.29 % Propositional preprocessing time : 0.000
% 0.24/0.29 % Propositional encoding time : 0.000
% 0.24/0.29 % Propositional solver time : 0.000
% 0.24/0.29 % Success case prop preproc time : 0.000
% 0.24/0.29 % Success case prop encoding time : 0.000
% 0.24/0.29 % Success case prop solver time : 0.000
% 0.24/0.29 % Current number of processed clauses : 14
% 0.24/0.29 % Positive orientable unit clauses : 8
% 0.24/0.29 % Positive unorientable unit clauses: 0
% 0.24/0.29 % Negative unit clauses : 1
% 0.24/0.29 % Non-unit-clauses : 5
% 0.24/0.29 % Current number of unprocessed clauses: 71
% 0.24/0.29 % ...number of literals in the above : 206
% 0.24/0.29 % Current number of archived formulas : 0
% 0.24/0.29 % Current number of archived clauses : 1
% 0.24/0.29 % Clause-clause subsumption calls (NU) : 2
% 0.24/0.29 % Rec. Clause-clause subsumption calls : 2
% 0.24/0.29 % Non-unit clause-clause subsumptions : 2
% 0.24/0.29 % Unit Clause-clause subsumption calls : 3
% 0.24/0.29 % Rewrite failures with RHS unbound : 0
% 0.24/0.29 % BW rewrite match attempts : 1
% 0.24/0.29 % BW rewrite match successes : 1
% 0.24/0.30 % Condensation attempts : 0
% 0.24/0.30 % Condensation successes : 0
% 0.24/0.30 % Termbank termtop insertions : 15439
% 0.24/0.30 % Search garbage collected termcells : 6501
% 0.24/0.30
% 0.24/0.30 % -------------------------------------------------
% 0.24/0.30 % User time : 0.015 s
% 0.24/0.30 % System time : 0.005 s
% 0.24/0.30 % Total time : 0.020 s
% 0.24/0.30 % Maximum resident set size: 5244 pages
% 0.24/0.30
% 0.24/0.30 % -------------------------------------------------
% 0.24/0.30 % User time : 0.024 s
% 0.24/0.30 % System time : 0.009 s
% 0.24/0.30 % Total time : 0.033 s
% 0.24/0.30 % Maximum resident set size: 5888 pages
% 0.24/0.30 % E exiting
%------------------------------------------------------------------------------