%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM559+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 : Thu Sep 24 01:49:34 PM UTC 2026
% Result : ContradictoryAxioms 0.14s 0.51s
% Output : CNFRefutation 0.14s
% 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; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2323,hypothesis,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2323) ).
fof(m__2338,hypothesis,
~ ~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2338) ).
fof(c_0_2,hypothesis,
~ aElementOf0(xx,xQ),
inference(fof_simplification,[status(thm)],[m__2323]) ).
fof(c_0_3,hypothesis,
~ aElementOf0(xx,xQ),
inference(fof_nnf,[status(thm)],[c_0_2]) ).
fof(c_0_4,hypothesis,
aElementOf0(xx,xQ),
inference(fof_simplification,[status(thm)],[m__2338]) ).
cnf(c_0_5,hypothesis,
~ aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,hypothesis,
aElementOf0(xx,xQ),
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
% 0.00/0.03 % Problem : NUM559+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n003.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 : Mon Sep 21 02:42:02 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 0.14/0.51 % Version: 3.5.1
% 0.14/0.51 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.51 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.51 % Starting sh5l with 300s (1) cores
% 0.14/0.51 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3231990 completed with status 0
% 0.14/0.51 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/0.51 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.51 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.51 % No SInE strategy applied
% 0.14/0.51 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.14/0.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.51 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.51 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.51 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.51 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.14/0.51 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.14/0.51 % SubtermCWHack with pid 3231994 completed with status 0
% 0.14/0.51 % Result found by SubtermCWHack
% 0.14/0.51 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.51 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.51 % No SInE strategy applied
% 0.14/0.51 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.14/0.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.51 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.51 % Preprocessing time : 0.005 s
% 0.14/0.51
% 0.14/0.51 % Proof found!
% 0.14/0.51 % SZS status ContradictoryAxioms
% 0.14/0.51 % SZS output start CNFRefutation
% See solution above
% 0.14/0.51 % Parsed axioms : 70
% 0.14/0.51 % Removed by relevancy pruning/SinE : 0
% 0.14/0.51 % Initial clauses : 155
% 0.14/0.51 % Removed in clause preprocessing : 6
% 0.14/0.51 % Initial clauses in saturation : 149
% 0.14/0.51 % Processed clauses : 19
% 0.14/0.51 % ...of these trivial : 1
% 0.14/0.51 % ...subsumed : 0
% 0.14/0.51 % ...remaining for further processing : 17
% 0.14/0.51 % Other redundant clauses eliminated : 0
% 0.14/0.51 % Clauses deleted for lack of memory : 0
% 0.14/0.51 % Backward-subsumed : 0
% 0.14/0.51 % Backward-rewritten : 0
% 0.14/0.51 % Generated clauses : 0
% 0.14/0.51 % ...of the previous two non-redundant : 0
% 0.14/0.51 % ...aggressively subsumed : 0
% 0.14/0.51 % Contextual simplify-reflections : 0
% 0.14/0.51 % Paramodulations : 0
% 0.14/0.51 % Factorizations : 0
% 0.14/0.51 % NegExts : 0
% 0.14/0.51 % Equation resolutions : 0
% 0.14/0.51 % Disequality decompositions : 0
% 0.14/0.51 % Total rewrite steps : 2
% 0.14/0.51 % ...of those cached : 0
% 0.14/0.51 % Propositional unsat checks : 0
% 0.14/0.51 % Propositional check models : 0
% 0.14/0.51 % Propositional check unsatisfiable : 0
% 0.14/0.51 % Propositional clauses : 0
% 0.14/0.51 % Propositional clauses after purity: 0
% 0.14/0.51 % Propositional unsat core size : 0
% 0.14/0.51 % Propositional preprocessing time : 0.000
% 0.14/0.51 % Propositional encoding time : 0.000
% 0.14/0.51 % Propositional solver time : 0.000
% 0.14/0.51 % Success case prop preproc time : 0.000
% 0.14/0.51 % Success case prop encoding time : 0.000
% 0.14/0.51 % Success case prop solver time : 0.000
% 0.14/0.51 % Current number of processed clauses : 17
% 0.14/0.51 % Positive orientable unit clauses : 15
% 0.14/0.51 % Positive unorientable unit clauses: 0
% 0.14/0.51 % Negative unit clauses : 2
% 0.14/0.51 % Non-unit-clauses : 0
% 0.14/0.51 % Current number of unprocessed clauses: 130
% 0.14/0.51 % ...number of literals in the above : 499
% 0.14/0.51 % Current number of archived formulas : 0
% 0.14/0.51 % Current number of archived clauses : 0
% 0.14/0.51 % Clause-clause subsumption calls (NU) : 0
% 0.14/0.51 % Rec. Clause-clause subsumption calls : 0
% 0.14/0.51 % Non-unit clause-clause subsumptions : 0
% 0.14/0.51 % Unit Clause-clause subsumption calls : 0
% 0.14/0.51 % Rewrite failures with RHS unbound : 0
% 0.14/0.51 % BW rewrite match attempts : 0
% 0.14/0.51 % BW rewrite match successes : 0
% 0.14/0.51 % Condensation attempts : 0
% 0.14/0.51 % Condensation successes : 0
% 0.14/0.51 % Termbank termtop insertions : 11614
% 0.14/0.51 % Search garbage collected termcells : 2750
% 0.14/0.51
% 0.14/0.51 % -------------------------------------------------
% 0.14/0.51 % User time : 0.018 s
% 0.14/0.51 % System time : 0.009 s
% 0.14/0.51 % Total time : 0.026 s
% 0.14/0.51 % Maximum resident set size: 3972 pages
% 0.14/0.51
% 0.14/0.51 % -------------------------------------------------
% 0.14/0.51 % User time : 0.040 s
% 0.14/0.51 % System time : 0.021 s
% 0.14/0.51 % Total time : 0.061 s
% 0.14/0.51 % Maximum resident set size: 4864 pages
% 0.14/0.51 % E exiting
%------------------------------------------------------------------------------