%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM484+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 01:49:16 PM UTC 2026
% Result : ContradictoryAxioms 0.35s 15.52s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1725,hypothesis,
~ isPrime0(xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1725) ).
fof(m__1737,hypothesis,
~ ~ isPrime0(xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1737) ).
fof(c_0_2,hypothesis,
~ isPrime0(xk),
inference(fof_simplification,[status(thm)],[m__1725]) ).
fof(c_0_3,hypothesis,
~ isPrime0(xk),
inference(fof_nnf,[status(thm)],[c_0_2]) ).
fof(c_0_4,hypothesis,
isPrime0(xk),
inference(fof_simplification,[status(thm)],[m__1737]) ).
cnf(c_0_5,hypothesis,
~ isPrime0(xk),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,hypothesis,
isPrime0(xk),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM484+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/15.44 % CPULimit : 300
% 0.09/15.44 % WCLimit : 300
% 0.09/15.44 % DateTime : Mon Sep 21 02:34:58 UTC 2026
% 0.09/15.44 % CPUTime :
% 0.09/15.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/15.49 Running first-order theorem proving
% 0.09/15.49 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.35/15.52 % Version: 3.5.1
% 0.35/15.52 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.35/15.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/15.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.35/15.52 % Starting new_bool_3 with 300s (1) cores
% 0.35/15.52 % Starting new_bool_1 with 300s (1) cores
% 0.35/15.52 % Starting sh5l with 300s (1) cores
% 0.35/15.52 % new_bool_1 with pid 4050448 completed with status 0
% 0.35/15.52 % Result found by new_bool_1
% 0.35/15.52 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.35/15.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/15.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.35/15.52 % Starting new_bool_3 with 300s (1) cores
% 0.35/15.52 % Starting new_bool_1 with 300s (1) cores
% 0.35/15.52 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.35/15.52 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/15.52 % Search class: FGHSF-FFMS21-SFFFFFNN
% 0.35/15.52 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.35/15.52 % Starting SubtermCWHack with 31s (1) cores
% 0.35/15.52 % SubtermCWHack with pid 4050451 completed with status 0
% 0.35/15.52 % Result found by SubtermCWHack
% 0.35/15.52 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.35/15.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/15.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.35/15.52 % Starting new_bool_3 with 300s (1) cores
% 0.35/15.52 % Starting new_bool_1 with 300s (1) cores
% 0.35/15.52 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.35/15.52 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/15.52 % Search class: FGHSF-FFMS21-SFFFFFNN
% 0.35/15.52 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.35/15.52 % Starting SubtermCWHack with 31s (1) cores
% 0.35/15.52 % Preprocessing time : 0.001 s
% 0.35/15.52
% 0.35/15.52 % Proof found!
% 0.35/15.52 % SZS status ContradictoryAxioms
% 0.35/15.52 % SZS output start CNFRefutation
% See solution above
% 0.35/15.52 % Parsed axioms : 43
% 0.35/15.52 % Removed by relevancy pruning/SinE : 3
% 0.35/15.52 % Initial clauses : 69
% 0.35/15.52 % Removed in clause preprocessing : 3
% 0.35/15.52 % Initial clauses in saturation : 66
% 0.35/15.52 % Processed clauses : 5
% 0.35/15.52 % ...of these trivial : 0
% 0.35/15.52 % ...subsumed : 0
% 0.35/15.52 % ...remaining for further processing : 4
% 0.35/15.52 % Other redundant clauses eliminated : 0
% 0.35/15.52 % Clauses deleted for lack of memory : 0
% 0.35/15.52 % Backward-subsumed : 0
% 0.35/15.52 % Backward-rewritten : 0
% 0.35/15.52 % Generated clauses : 0
% 0.35/15.52 % ...of the previous two non-redundant : 0
% 0.35/15.52 % ...aggressively subsumed : 0
% 0.35/15.52 % Contextual simplify-reflections : 0
% 0.35/15.52 % Paramodulations : 0
% 0.35/15.52 % Factorizations : 0
% 0.35/15.52 % NegExts : 0
% 0.35/15.52 % Equation resolutions : 0
% 0.35/15.52 % Disequality decompositions : 0
% 0.35/15.52 % Total rewrite steps : 1
% 0.35/15.52 % ...of those cached : 0
% 0.35/15.52 % Propositional unsat checks : 0
% 0.35/15.52 % Propositional check models : 0
% 0.35/15.52 % Propositional check unsatisfiable : 0
% 0.35/15.52 % Propositional clauses : 0
% 0.35/15.52 % Propositional clauses after purity: 0
% 0.35/15.52 % Propositional unsat core size : 0
% 0.35/15.52 % Propositional preprocessing time : 0.000
% 0.35/15.52 % Propositional encoding time : 0.000
% 0.35/15.52 % Propositional solver time : 0.000
% 0.35/15.52 % Success case prop preproc time : 0.000
% 0.35/15.52 % Success case prop encoding time : 0.000
% 0.35/15.52 % Success case prop solver time : 0.000
% 0.35/15.52 % Current number of processed clauses : 4
% 0.35/15.52 % Positive orientable unit clauses : 4
% 0.35/15.52 % Positive unorientable unit clauses: 0
% 0.35/15.52 % Negative unit clauses : 0
% 0.35/15.52 % Non-unit-clauses : 0
% 0.35/15.52 % Current number of unprocessed clauses: 61
% 0.35/15.52 % ...number of literals in the above : 263
% 0.35/15.52 % Current number of archived formulas : 0
% 0.35/15.52 % Current number of archived clauses : 0
% 0.35/15.52 % Clause-clause subsumption calls (NU) : 0
% 0.35/15.52 % Rec. Clause-clause subsumption calls : 0
% 0.35/15.52 % Non-unit clause-clause subsumptions : 0
% 0.35/15.52 % Unit Clause-clause subsumption calls : 0
% 0.35/15.52 % Rewrite failures with RHS unbound : 0
% 0.35/15.52 % BW rewrite match attempts : 0
% 0.35/15.52 % BW rewrite match successes : 0
% 0.35/15.52 % Condensation attempts : 0
% 0.35/15.52 % Condensation successes : 0
% 0.35/15.52 % Termbank termtop insertions : 5602
% 0.35/15.52 % Search garbage collected termcells : 1199
% 0.35/15.52
% 0.35/15.52 % -------------------------------------------------
% 0.35/15.52 % User time : 0.007 s
% 0.35/15.52 % System time : 0.003 s
% 0.35/15.52 % Total time : 0.010 s
% 0.35/15.52 % Maximum resident set size: 3676 pages
% 0.35/15.52
% 0.35/15.52 % -------------------------------------------------
% 0.35/15.52 % User time : 0.008 s
% 0.35/15.52 % System time : 0.008 s
% 0.35/15.52 % Total time : 0.016 s
% 0.35/15.52 % Maximum resident set size: 4864 pages
% 0.35/15.52 % E exiting
%------------------------------------------------------------------------------