%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP154^1 : 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 : n020.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 08:05:41 AM UTC 2026
% Result : Theorem 0.20s 0.34s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 59 ( 3 ~; 2 |; 0 &; 54 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
set_Product_prod_a_a: $tType ).
thf(decl_sort2,type,
a: $tType ).
thf(decl_sort3,type,
set_a: $tType ).
thf(decl_66,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(decl_79,type,
prefer1676310729than_a: a > set_a > set_Product_prod_a_a > set_a ).
thf(decl_124,type,
carrier: set_a ).
thf(decl_125,type,
relation: set_Product_prod_a_a ).
thf(decl_126,type,
x: a ).
thf(conj_0,conjecture,
( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ x @ carrier @ relation ) @ ( prefer1676310729than_a @ x @ carrier @ relation ) )
| ( ord_less_eq_set_a @ ( prefer1676310729than_a @ x @ carrier @ relation ) @ ( prefer1676310729than_a @ x @ carrier @ relation ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AbFVCzvQPM/E---3.1_1522321.p',conj_0) ).
thf(fact_195_subset__refl,axiom,
! [X418: set_a] : ( ord_less_eq_set_a @ X418 @ X418 ),
file('/export/starexec/sandbox2/tmp/tmp.AbFVCzvQPM/E---3.1_1522321.p',fact_195_subset__refl) ).
thf(c_0_2,negated_conjecture,
~ ( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ x @ carrier @ relation ) @ ( prefer1676310729than_a @ x @ carrier @ relation ) )
| ( ord_less_eq_set_a @ ( prefer1676310729than_a @ x @ carrier @ relation ) @ ( prefer1676310729than_a @ x @ carrier @ relation ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_3,negated_conjecture,
~ ( ord_less_eq_set_a @ ( prefer1676310729than_a @ x @ carrier @ relation ) @ ( prefer1676310729than_a @ x @ carrier @ relation ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
thf(c_0_4,plain,
! [X1003: set_a] : ( ord_less_eq_set_a @ X1003 @ X1003 ),
inference(variable_rename,[status(thm)],[fact_195_subset__refl]) ).
thf(c_0_5,negated_conjecture,
~ ( ord_less_eq_set_a @ ( prefer1676310729than_a @ x @ carrier @ relation ) @ ( prefer1676310729than_a @ x @ carrier @ relation ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,plain,
! [X8: set_a] : ( ord_less_eq_set_a @ X8 @ X8 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP154^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:03:20 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.20/0.29 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.AbFVCzvQPM/E---3.1_1522321.p
% 0.20/0.34 % Version: 3.5.1-ho
% 0.20/0.34 % Preprocessing class: HSLMSMSMSSMCHFA.
% 0.20/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.34 % Starting new_ho_10 with 1500s (5) cores
% 0.20/0.34 % Starting sh5l with 300s (1) cores
% 0.20/0.34 % Starting new_bool_1 with 300s (1) cores
% 0.20/0.34 % Starting new_bool_2 with 300s (1) cores
% 0.20/0.34 % new_bool_2 with pid 1522381 completed with status 0
% 0.20/0.34 % Result found by new_bool_2
% 0.20/0.34 % Preprocessing class: HSLMSMSMSSMCHFA.
% 0.20/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.34 % Starting new_ho_10 with 1500s (5) cores
% 0.20/0.34 % Starting sh5l with 300s (1) cores
% 0.20/0.34 % Starting new_bool_1 with 300s (1) cores
% 0.20/0.34 % Starting new_bool_2 with 300s (1) cores
% 0.20/0.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.20/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.34 % Search class: HGHSM-FFMM32-DHFFFFBN
% 0.20/0.34 % partial match(2): HGHSM-FFMM31-DSFFFFBN
% 0.20/0.34 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.34 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.34 % SubtermCWHack with pid 1522388 completed with status 0
% 0.20/0.34 % Result found by SubtermCWHack
% 0.20/0.34 % Preprocessing class: HSLMSMSMSSMCHFA.
% 0.20/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.34 % Starting new_ho_10 with 1500s (5) cores
% 0.20/0.34 % Starting sh5l with 300s (1) cores
% 0.20/0.34 % Starting new_bool_1 with 300s (1) cores
% 0.20/0.34 % Starting new_bool_2 with 300s (1) cores
% 0.20/0.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.20/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.34 % Search class: HGHSM-FFMM32-DHFFFFBN
% 0.20/0.34 % partial match(2): HGHSM-FFMM31-DSFFFFBN
% 0.20/0.34 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.34 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.34 % Preprocessing time : 0.004 s
% 0.20/0.34
% 0.20/0.34 % Proof found!
% 0.20/0.34 % SZS status Theorem
% 0.20/0.34 % SZS output start CNFRefutation
% See solution above
% 0.20/0.34 % Parsed axioms : 484
% 0.20/0.34 % Removed by relevancy pruning/SinE : 406
% 0.20/0.34 % Initial clauses : 107
% 0.20/0.34 % Removed in clause preprocessing : 10
% 0.20/0.34 % Initial clauses in saturation : 97
% 0.20/0.34 % Processed clauses : 65
% 0.20/0.34 % ...of these trivial : 7
% 0.20/0.34 % ...subsumed : 18
% 0.20/0.34 % ...remaining for further processing : 39
% 0.20/0.34 % Other redundant clauses eliminated : 16
% 0.20/0.34 % Clauses deleted for lack of memory : 0
% 0.20/0.34 % Backward-subsumed : 0
% 0.20/0.34 % Backward-rewritten : 2
% 0.20/0.34 % Generated clauses : 41
% 0.20/0.34 % ...of the previous two non-redundant : 21
% 0.20/0.34 % ...aggressively subsumed : 0
% 0.20/0.34 % Contextual simplify-reflections : 0
% 0.20/0.34 % Paramodulations : 20
% 0.20/0.34 % Factorizations : 0
% 0.20/0.34 % NegExts : 0
% 0.20/0.34 % Equation resolutions : 17
% 0.20/0.34 % Disequality decompositions : 0
% 0.20/0.34 % Total rewrite steps : 23
% 0.20/0.34 % ...of those cached : 14
% 0.20/0.34 % Propositional unsat checks : 0
% 0.20/0.34 % Propositional check models : 0
% 0.20/0.34 % Propositional check unsatisfiable : 0
% 0.20/0.34 % Propositional clauses : 0
% 0.20/0.34 % Propositional clauses after purity: 0
% 0.20/0.34 % Propositional unsat core size : 0
% 0.20/0.34 % Propositional preprocessing time : 0.000
% 0.20/0.34 % Propositional encoding time : 0.000
% 0.20/0.34 % Propositional solver time : 0.000
% 0.20/0.34 % Success case prop preproc time : 0.000
% 0.20/0.34 % Success case prop encoding time : 0.000
% 0.20/0.34 % Success case prop solver time : 0.000
% 0.20/0.34 % Current number of processed clauses : 27
% 0.20/0.34 % Positive orientable unit clauses : 10
% 0.20/0.34 % Positive unorientable unit clauses: 0
% 0.20/0.34 % Negative unit clauses : 1
% 0.20/0.34 % Non-unit-clauses : 16
% 0.20/0.34 % Current number of unprocessed clauses: 52
% 0.20/0.34 % ...number of literals in the above : 212
% 0.20/0.34 % Current number of archived formulas : 0
% 0.20/0.34 % Current number of archived clauses : 2
% 0.20/0.34 % Clause-clause subsumption calls (NU) : 88
% 0.20/0.34 % Rec. Clause-clause subsumption calls : 88
% 0.20/0.34 % Non-unit clause-clause subsumptions : 13
% 0.20/0.34 % Unit Clause-clause subsumption calls : 0
% 0.20/0.34 % Rewrite failures with RHS unbound : 0
% 0.20/0.34 % BW rewrite match attempts : 4
% 0.20/0.34 % BW rewrite match successes : 2
% 0.20/0.34 % Condensation attempts : 0
% 0.20/0.34 % Condensation successes : 0
% 0.20/0.34 % Termbank termtop insertions : 14316
% 0.20/0.34 % Search garbage collected termcells : 5687
% 0.20/0.34
% 0.20/0.34 % -------------------------------------------------
% 0.20/0.34 % User time : 0.015 s
% 0.20/0.34 % System time : 0.005 s
% 0.20/0.34 % Total time : 0.020 s
% 0.20/0.34 % Maximum resident set size: 5504 pages
% 0.20/0.34
% 0.20/0.34 % -------------------------------------------------
% 0.20/0.34 % User time : 0.031 s
% 0.20/0.34 % System time : 0.011 s
% 0.20/0.34 % Total time : 0.042 s
% 0.20/0.34 % Maximum resident set size: 5888 pages
% 0.20/0.35 % E exiting
%------------------------------------------------------------------------------