%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP227^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 08:05:57 AM UTC 2026
% Result : Theorem 7.32s 4.75s
% Output : CNFRefutation 7.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 14 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 3 |; 3 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_829,type,
ma: nat ).
thf(decl_830,type,
mi: nat ).
thf(decl_834,type,
xa: nat ).
thf(conj_0,conjecture,
( ( xa != mi )
& ( xa != ma ) ),
file('/export/starexec/sandbox/tmp/tmp.2Mmu8UDHqQ/E---3.1_2157253.p',conj_0) ).
thf(fact_0_False,axiom,
~ ( ( xa = mi )
| ( xa = ma ) ),
file('/export/starexec/sandbox/tmp/tmp.2Mmu8UDHqQ/E---3.1_2157253.p',fact_0_False) ).
thf(c_0_2,negated_conjecture,
~ ( ( xa != mi )
& ( xa != ma ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_3,negated_conjecture,
( ( xa = mi )
| ( xa = ma ) ),
inference(fof_nnf,[status(thm)],[c_0_2]) ).
thf(c_0_4,plain,
( ( xa != mi )
& ( xa != ma ) ),
inference(fof_nnf,[status(thm)],[fact_0_False]) ).
thf(c_0_5,negated_conjecture,
( ( xa = mi )
| ( xa = ma ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,plain,
xa != ma,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
xa != mi,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP227^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n005.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
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 20:21:16 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
% 2.35/2.41 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.2Mmu8UDHqQ/E---3.1_2157253.p
% 7.32/4.75 % Version: 3.5.1-ho
% 7.32/4.75 % partial match(1): HMLMSMSMSSLCHFA
% 7.32/4.75 % Preprocessing class: HMLMSMLMSSLCHFA.
% 7.32/4.75 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 7.32/4.75 % Starting new_ho_10 with 1495s (5) cores
% 7.32/4.75 % Starting sh5l with 299s (1) cores
% 7.32/4.75 % Starting new_bool_1 with 299s (1) cores
% 7.32/4.75 % Starting new_bool_2 with 299s (1) cores
% 7.32/4.75 % new_bool_2 with pid 2157449 completed with status 0
% 7.32/4.75 % Result found by new_bool_2
% 7.32/4.75 % partial match(1): HMLMSMSMSSLCHFA
% 7.32/4.75 % Preprocessing class: HMLMSMLMSSLCHFA.
% 7.32/4.75 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 7.32/4.75 % Starting new_ho_10 with 1495s (5) cores
% 7.32/4.75 % Starting sh5l with 299s (1) cores
% 7.32/4.75 % Starting new_bool_1 with 299s (1) cores
% 7.32/4.75 % Starting new_bool_2 with 299s (1) cores
% 7.32/4.75 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 7.32/4.75 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.32/4.75 % Search class: HGHSM-SMLM32-DHFFFSBN
% 7.32/4.75 % Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 7.32/4.75 % Starting SubtermCWHack with 30s (1) cores
% 7.32/4.75 % SubtermCWHack with pid 2157548 completed with status 0
% 7.32/4.75 % Result found by SubtermCWHack
% 7.32/4.75 % partial match(1): HMLMSMSMSSLCHFA
% 7.32/4.75 % Preprocessing class: HMLMSMLMSSLCHFA.
% 7.32/4.75 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 7.32/4.75 % Starting new_ho_10 with 1495s (5) cores
% 7.32/4.75 % Starting sh5l with 299s (1) cores
% 7.32/4.75 % Starting new_bool_1 with 299s (1) cores
% 7.32/4.75 % Starting new_bool_2 with 299s (1) cores
% 7.32/4.75 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 7.32/4.75 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.32/4.75 % Search class: HGHSM-SMLM32-DHFFFSBN
% 7.32/4.75 % Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 7.32/4.75 % Starting SubtermCWHack with 30s (1) cores
% 7.32/4.75 % Preprocessing time : 0.087 s
% 7.32/4.75
% 7.32/4.75 % Proof found!
% 7.32/4.75 % SZS status Theorem
% 7.32/4.75 % SZS output start CNFRefutation
% See solution above
% 7.32/4.75 % Parsed axioms : 11137
% 7.32/4.75 % Removed by relevancy pruning/SinE : 9354
% 7.32/4.75 % Initial clauses : 5565
% 7.32/4.75 % Removed in clause preprocessing : 1767
% 7.32/4.75 % Initial clauses in saturation : 3798
% 7.32/4.75 % Processed clauses : 11
% 7.32/4.75 % ...of these trivial : 3
% 7.32/4.75 % ...subsumed : 0
% 7.32/4.75 % ...remaining for further processing : 7
% 7.32/4.75 % Other redundant clauses eliminated : 0
% 7.32/4.75 % Clauses deleted for lack of memory : 0
% 7.32/4.75 % Backward-subsumed : 0
% 7.32/4.75 % Backward-rewritten : 0
% 7.32/4.75 % Generated clauses : 0
% 7.32/4.75 % ...of the previous two non-redundant : 0
% 7.32/4.75 % ...aggressively subsumed : 0
% 7.32/4.75 % Contextual simplify-reflections : 0
% 7.32/4.75 % Paramodulations : 0
% 7.32/4.75 % Factorizations : 0
% 7.32/4.75 % NegExts : 0
% 7.32/4.75 % Equation resolutions : 0
% 7.32/4.75 % Disequality decompositions : 0
% 7.32/4.75 % Total rewrite steps : 3
% 7.32/4.75 % ...of those cached : 0
% 7.32/4.75 % Propositional unsat checks : 0
% 7.32/4.75 % Propositional check models : 0
% 7.32/4.75 % Propositional check unsatisfiable : 0
% 7.32/4.75 % Propositional clauses : 0
% 7.32/4.75 % Propositional clauses after purity: 0
% 7.32/4.75 % Propositional unsat core size : 0
% 7.32/4.75 % Propositional preprocessing time : 0.000
% 7.32/4.75 % Propositional encoding time : 0.000
% 7.32/4.75 % Propositional solver time : 0.000
% 7.32/4.75 % Success case prop preproc time : 0.000
% 7.32/4.75 % Success case prop encoding time : 0.000
% 7.32/4.75 % Success case prop solver time : 0.000
% 7.32/4.75 % Current number of processed clauses : 7
% 7.32/4.75 % Positive orientable unit clauses : 4
% 7.32/4.75 % Positive unorientable unit clauses: 0
% 7.32/4.75 % Negative unit clauses : 3
% 7.32/4.75 % Non-unit-clauses : 0
% 7.32/4.75 % Current number of unprocessed clauses: 3787
% 7.32/4.75 % ...number of literals in the above : 15502
% 7.32/4.75 % Current number of archived formulas : 0
% 7.32/4.75 % Current number of archived clauses : 0
% 7.32/4.75 % Clause-clause subsumption calls (NU) : 0
% 7.32/4.75 % Rec. Clause-clause subsumption calls : 0
% 7.32/4.75 % Non-unit clause-clause subsumptions : 0
% 7.32/4.75 % Unit Clause-clause subsumption calls : 1
% 7.32/4.75 % Rewrite failures with RHS unbound : 0
% 7.32/4.75 % BW rewrite match attempts : 0
% 7.32/4.75 % BW rewrite match successes : 0
% 7.32/4.75 % Condensation attempts : 0
% 7.32/4.75 % Condensation successes : 0
% 7.32/4.75 % Termbank termtop insertions : 509387
% 7.32/4.75 % Search garbage collected termcells : 142470
% 7.32/4.75
% 7.32/4.75 % -------------------------------------------------
% 7.32/4.75 % User time : 0.863 s
% 7.32/4.75 % System time : 0.088 s
% 7.32/4.75 % Total time : 0.951 s
% 7.32/4.75 % Maximum resident set size: 34864 pages
% 7.32/4.75
% 7.32/4.75 % -------------------------------------------------
% 7.32/4.75 % User time : 2.164 s
% 7.32/4.75 % System time : 0.143 s
% 7.32/4.75 % Total time : 2.307 s
% 7.32/4.75 % Maximum resident set size: 27392 pages
% 7.32/4.75 % E exiting
%------------------------------------------------------------------------------