%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP029^1 : 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 : n003.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 08:05:19 AM UTC 2026
% Result : ContradictoryAxioms 0.50s 0.36s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 2 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 24 ( 4 ~; 0 |; 0 &; 20 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_sort2,type,
int: $tType ).
thf(decl_55,type,
ord_less_int: int > int > $o ).
thf(decl_78,type,
a2: a ).
thf(decl_79,type,
b: a ).
thf(decl_80,type,
h: a > int ).
thf(fact_115_less__irrefl,axiom,
! [X267: int] :
~ ( ord_less_int @ X267 @ X267 ),
file('/export/starexec/sandbox/tmp/tmp.lPrI56flja/E---3.1_2967691.p',fact_115_less__irrefl) ).
thf(fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062,axiom,
ord_less_int @ ( h @ b ) @ ( h @ a2 ),
file('/export/starexec/sandbox/tmp/tmp.lPrI56flja/E---3.1_2967691.p',fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062) ).
thf(fact_0_hahb,axiom,
( ( h @ a2 )
= ( h @ b ) ),
file('/export/starexec/sandbox/tmp/tmp.lPrI56flja/E---3.1_2967691.p',fact_0_hahb) ).
thf(c_0_3,plain,
! [X267: int] :
~ ( ord_less_int @ X267 @ X267 ),
inference(fof_simplification,[status(thm)],[fact_115_less__irrefl]) ).
thf(c_0_4,plain,
! [X1602: int] :
~ ( ord_less_int @ X1602 @ X1602 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_3])]) ).
thf(c_0_5,plain,
ord_less_int @ ( h @ b ) @ ( h @ a2 ),
inference(split_conjunct,[status(thm)],[fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062]) ).
thf(c_0_6,plain,
( ( h @ a2 )
= ( h @ b ) ),
inference(split_conjunct,[status(thm)],[fact_0_hahb]) ).
thf(c_0_7,plain,
! [X31: int] :
~ ( ord_less_int @ X31 @ X31 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP029^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n003.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % 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 19:40:29 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
% 0.20/0.28 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.lPrI56flja/E---3.1_2967691.p
% 0.50/0.36 % Version: 3.5.1-ho
% 0.50/0.36 % Preprocessing class: HSLSSMSMSSLCHFA.
% 0.50/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.36 % Starting new_ho_12 with 1500s (5) cores
% 0.50/0.36 % Starting lpo1_def_fix with 300s (1) cores
% 0.50/0.36 % Starting pre_casc_7 with 300s (1) cores
% 0.50/0.36 % Starting lpo8_lambda_fix with 300s (1) cores
% 0.50/0.36 % lpo1_def_fix with pid 2967735 completed with status 0
% 0.50/0.36 % Result found by lpo1_def_fix
% 0.50/0.36 % Preprocessing class: HSLSSMSMSSLCHFA.
% 0.50/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.36 % Starting new_ho_12 with 1500s (5) cores
% 0.50/0.36 % Starting lpo1_def_fix with 300s (1) cores
% 0.50/0.36 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf600_gu_R05_F100_L20000)
% 0.50/0.36 % SinE strategy is gf600_gu_R05_F100_L20000
% 0.50/0.36 % Search class: HGHSM-FSLM32-MHFFFSBN
% 0.50/0.36 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.50/0.36 % Starting SubtermCWHack with 28s (1) cores
% 0.50/0.36 % SubtermCWHack with pid 2967750 completed with status 0
% 0.50/0.36 % Result found by SubtermCWHack
% 0.50/0.36 % Preprocessing class: HSLSSMSMSSLCHFA.
% 0.50/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.36 % Starting new_ho_12 with 1500s (5) cores
% 0.50/0.36 % Starting lpo1_def_fix with 300s (1) cores
% 0.50/0.36 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf600_gu_R05_F100_L20000)
% 0.50/0.36 % SinE strategy is gf600_gu_R05_F100_L20000
% 0.50/0.36 % Search class: HGHSM-FSLM32-MHFFFSBN
% 0.50/0.36 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.50/0.36 % Starting SubtermCWHack with 28s (1) cores
% 0.50/0.36 % Preprocessing time : 0.009 s
% 0.50/0.36
% 0.50/0.36 % Proof found!
% 0.50/0.36 % SZS status ContradictoryAxioms
% 0.50/0.36 % SZS output start CNFRefutation
% See solution above
% 0.50/0.36 % Parsed axioms : 419
% 0.50/0.36 % Removed by relevancy pruning/SinE : 165
% 0.50/0.36 % Initial clauses : 553
% 0.50/0.36 % Removed in clause preprocessing : 12
% 0.50/0.36 % Initial clauses in saturation : 541
% 0.50/0.36 % Processed clauses : 41
% 0.50/0.36 % ...of these trivial : 6
% 0.50/0.36 % ...subsumed : 8
% 0.50/0.36 % ...remaining for further processing : 26
% 0.50/0.36 % Other redundant clauses eliminated : 1
% 0.50/0.36 % Clauses deleted for lack of memory : 0
% 0.50/0.36 % Backward-subsumed : 0
% 0.50/0.36 % Backward-rewritten : 0
% 0.50/0.36 % Generated clauses : 3
% 0.50/0.36 % ...of the previous two non-redundant : 2
% 0.50/0.36 % ...aggressively subsumed : 0
% 0.50/0.36 % Contextual simplify-reflections : 0
% 0.50/0.36 % Paramodulations : 0
% 0.50/0.36 % Factorizations : 0
% 0.50/0.36 % NegExts : 0
% 0.50/0.36 % Equation resolutions : 1
% 0.50/0.36 % Disequality decompositions : 0
% 0.50/0.36 % Total rewrite steps : 8
% 0.50/0.36 % ...of those cached : 2
% 0.50/0.36 % Propositional unsat checks : 0
% 0.50/0.36 % Propositional check models : 0
% 0.50/0.36 % Propositional check unsatisfiable : 0
% 0.50/0.36 % Propositional clauses : 0
% 0.50/0.36 % Propositional clauses after purity: 0
% 0.50/0.36 % Propositional unsat core size : 0
% 0.50/0.36 % Propositional preprocessing time : 0.000
% 0.50/0.36 % Propositional encoding time : 0.000
% 0.50/0.36 % Propositional solver time : 0.000
% 0.50/0.36 % Success case prop preproc time : 0.000
% 0.50/0.36 % Success case prop encoding time : 0.000
% 0.50/0.36 % Success case prop solver time : 0.000
% 0.50/0.36 % Current number of processed clauses : 25
% 0.50/0.36 % Positive orientable unit clauses : 16
% 0.50/0.36 % Positive unorientable unit clauses: 0
% 0.50/0.36 % Negative unit clauses : 9
% 0.50/0.36 % Non-unit-clauses : 0
% 0.50/0.36 % Current number of unprocessed clauses: 502
% 0.50/0.36 % ...number of literals in the above : 2042
% 0.50/0.36 % Current number of archived formulas : 0
% 0.50/0.36 % Current number of archived clauses : 0
% 0.50/0.36 % Clause-clause subsumption calls (NU) : 0
% 0.50/0.36 % Rec. Clause-clause subsumption calls : 0
% 0.50/0.36 % Non-unit clause-clause subsumptions : 0
% 0.50/0.36 % Unit Clause-clause subsumption calls : 15
% 0.50/0.36 % Rewrite failures with RHS unbound : 0
% 0.50/0.36 % BW rewrite match attempts : 2
% 0.50/0.36 % BW rewrite match successes : 0
% 0.50/0.36 % Condensation attempts : 0
% 0.50/0.36 % Condensation successes : 0
% 0.50/0.36 % Termbank termtop insertions : 43051
% 0.50/0.36 % Search garbage collected termcells : 12114
% 0.50/0.36
% 0.50/0.36 % -------------------------------------------------
% 0.50/0.36 % User time : 0.039 s
% 0.50/0.36 % System time : 0.012 s
% 0.50/0.36 % Total time : 0.051 s
% 0.50/0.36 % Maximum resident set size: 6276 pages
% 0.50/0.36
% 0.50/0.36 % -------------------------------------------------
% 0.50/0.36 % User time : 0.052 s
% 0.50/0.36 % System time : 0.017 s
% 0.50/0.36 % Total time : 0.069 s
% 0.50/0.36 % Maximum resident set size: 5632 pages
% 0.50/0.36 % E exiting
%------------------------------------------------------------------------------