%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP227_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 : Thu Sep 24 12:54:44 PM UTC 2026
% Result : Theorem 1.76s 2.53s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 13 ~; 3 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
nat: $tType ).
tff(decl_1665,type,
ma: nat ).
tff(decl_1666,type,
mi: nat ).
tff(decl_1670,type,
xa: nat ).
tff(conj_0,conjecture,
( ( xa != ma )
& ( xa != mi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(fact_0_False,axiom,
~ ( ( xa = ma )
| ( xa = mi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_False) ).
tff(c_0_2,negated_conjecture,
~ ( ( xa != ma )
& ( xa != mi ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
tff(c_0_3,negated_conjecture,
~ ( ( xa != ma )
& ( xa != mi ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
tff(c_0_4,negated_conjecture,
( ( xa = ma )
| ( xa = mi ) ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
tff(c_0_5,plain,
( ( xa != ma )
& ( xa != mi ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_False])]) ).
tcf(c_0_6,negated_conjecture,
( ( xa = ma )
| ( xa = mi ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tcf(c_0_7,plain,
xa != ma,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,plain,
xa != mi,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP227_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 22:12:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.76/2.53 % Version: 3.5.1
% 1.76/2.53 % Preprocessing class: FMLLSMLLSSSNFFN.
% 1.76/2.53 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 1.76/2.53 % Starting new_bool_3 with 897s (3) cores
% 1.76/2.53 % Starting new_bool_1 with 897s (3) cores
% 1.76/2.53 % Starting sh5l with 299s (1) cores
% 1.76/2.53 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 1.76/2.53 % new_bool_1 with pid 1592980 completed with status 0
% 1.76/2.53 % Result found by new_bool_1
% 1.76/2.53 % Preprocessing class: FMLLSMLLSSSNFFN.
% 1.76/2.53 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 1.76/2.53 % Starting new_bool_3 with 897s (3) cores
% 1.76/2.53 % Starting new_bool_1 with 897s (3) cores
% 1.76/2.53 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.76/2.53 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.76/2.53 % Search class: FGHSM-SMLM32-DFFFFFNN
% 1.76/2.53 % Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 1.76/2.53 % Starting SubtermCWHack with 81s (1) cores
% 1.76/2.53 % Starting new_bool_1 with 90s (1) cores
% 1.76/2.53 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 1.76/2.53 % SubtermCWHack with pid 1592983 completed with status 0
% 1.76/2.53 % Result found by SubtermCWHack
% 1.76/2.53 % Preprocessing class: FMLLSMLLSSSNFFN.
% 1.76/2.53 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 1.76/2.53 % Starting new_bool_3 with 897s (3) cores
% 1.76/2.53 % Starting new_bool_1 with 897s (3) cores
% 1.76/2.53 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.76/2.53 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.76/2.53 % Search class: FGHSM-SMLM32-DFFFFFNN
% 1.76/2.53 % Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 1.76/2.53 % Starting SubtermCWHack with 81s (1) cores
% 1.76/2.53 % Preprocessing time : 0.098 s
% 1.76/2.53
% 1.76/2.53 % Proof found!
% 1.76/2.53 % SZS status Theorem
% 1.76/2.53 % SZS output start CNFRefutation
% See solution above
% 1.76/2.53 % Parsed axioms : 12823
% 1.76/2.53 % Removed by relevancy pruning/SinE : 11064
% 1.76/2.53 % Initial clauses : 4197
% 1.76/2.53 % Removed in clause preprocessing : 161
% 1.76/2.53 % Initial clauses in saturation : 4036
% 1.76/2.53 % Processed clauses : 11
% 1.76/2.53 % ...of these trivial : 0
% 1.76/2.53 % ...subsumed : 0
% 1.76/2.53 % ...remaining for further processing : 10
% 1.76/2.53 % Other redundant clauses eliminated : 0
% 1.76/2.53 % Clauses deleted for lack of memory : 0
% 1.76/2.53 % Backward-subsumed : 0
% 1.76/2.53 % Backward-rewritten : 0
% 1.76/2.53 % Generated clauses : 0
% 1.76/2.53 % ...of the previous two non-redundant : 0
% 1.76/2.53 % ...aggressively subsumed : 0
% 1.76/2.53 % Contextual simplify-reflections : 0
% 1.76/2.53 % Paramodulations : 0
% 1.76/2.53 % Factorizations : 0
% 1.76/2.53 % NegExts : 0
% 1.76/2.53 % Equation resolutions : 0
% 1.76/2.53 % Disequality decompositions : 0
% 1.76/2.53 % Total rewrite steps : 0
% 1.76/2.53 % ...of those cached : 0
% 1.76/2.53 % Propositional unsat checks : 0
% 1.76/2.53 % Propositional check models : 0
% 1.76/2.53 % Propositional check unsatisfiable : 0
% 1.76/2.53 % Propositional clauses : 0
% 1.76/2.53 % Propositional clauses after purity: 0
% 1.76/2.53 % Propositional unsat core size : 0
% 1.76/2.53 % Propositional preprocessing time : 0.000
% 1.76/2.53 % Propositional encoding time : 0.000
% 1.76/2.53 % Propositional solver time : 0.000
% 1.76/2.53 % Success case prop preproc time : 0.000
% 1.76/2.53 % Success case prop encoding time : 0.000
% 1.76/2.53 % Success case prop solver time : 0.000
% 1.76/2.53 % Current number of processed clauses : 10
% 1.76/2.53 % Positive orientable unit clauses : 7
% 1.76/2.53 % Positive unorientable unit clauses: 0
% 1.76/2.53 % Negative unit clauses : 3
% 1.76/2.53 % Non-unit-clauses : 0
% 1.76/2.53 % Current number of unprocessed clauses: 4025
% 1.76/2.53 % ...number of literals in the above : 17985
% 1.76/2.53 % Current number of archived formulas : 0
% 1.76/2.53 % Current number of archived clauses : 0
% 1.76/2.53 % Clause-clause subsumption calls (NU) : 0
% 1.76/2.53 % Rec. Clause-clause subsumption calls : 0
% 1.76/2.53 % Non-unit clause-clause subsumptions : 0
% 1.76/2.53 % Unit Clause-clause subsumption calls : 1
% 1.76/2.53 % Rewrite failures with RHS unbound : 0
% 1.76/2.53 % BW rewrite match attempts : 0
% 1.76/2.53 % BW rewrite match successes : 0
% 1.76/2.53 % Condensation attempts : 0
% 1.76/2.53 % Condensation successes : 0
% 1.76/2.53 % Termbank termtop insertions : 635546
% 1.76/2.53 % Search garbage collected termcells : 160852
% 1.76/2.53
% 1.76/2.53 % -------------------------------------------------
% 1.76/2.53 % User time : 0.436 s
% 1.76/2.53 % System time : 0.065 s
% 1.76/2.53 % Total time : 0.501 s
% 1.76/2.53 % Maximum resident set size: 36272 pages
% 1.76/2.53
% 1.76/2.53 % -------------------------------------------------
% 1.76/2.53 % User time : 2.131 s
% 1.76/2.53 % System time : 0.180 s
% 1.76/2.53 % Total time : 2.311 s
% 1.76/2.53 % Maximum resident set size: 29696 pages
% 1.76/2.53 % E exiting
%------------------------------------------------------------------------------