%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET093-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 02:13:32 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.56s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 2 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 2 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_corollary_2_to_singletons_are_sets_2,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_singletons_are_sets_2) ).
cnf(singletons_are_sets,axiom,
member(singleton(X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singletons_are_sets) ).
cnf(prove_corollary_2_to_singletons_are_sets_1,negated_conjecture,
singleton(member_of(x)) = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_singletons_are_sets_1) ).
cnf(c_0_3,negated_conjecture,
~ member(x,universal_class),
inference(fof_simplification,[status(thm)],[prove_corollary_2_to_singletons_are_sets_2]) ).
cnf(c_0_4,axiom,
member(singleton(X1),universal_class),
singletons_are_sets ).
cnf(c_0_5,negated_conjecture,
singleton(member_of(x)) = x,
prove_corollary_2_to_singletons_are_sets_1 ).
cnf(c_0_6,negated_conjecture,
~ member(x,universal_class),
c_0_3 ).
cnf(c_0_7,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET093-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.45 % Computer : n001.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 04:57:13 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.53 Running first-order theorem proving
% 0.22/0.53 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
% 0.22/0.56 % Version: 3.5.1
% 0.22/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.56 % Starting sh5l with 300s (1) cores
% 0.22/0.56 % new_bool_3 with pid 2234178 completed with status 0
% 0.22/0.56 % Result found by new_bool_3
% 0.22/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.56 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/0.56 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.56 % Search class: FGHSM-FFMS21-MFFFFFNN
% 0.22/0.56 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.56 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.56 % SubtermCWHack with pid 2234182 completed with status 0
% 0.22/0.56 % Result found by SubtermCWHack
% 0.22/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.56 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/0.56 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.56 % Search class: FGHSM-FFMS21-MFFFFFNN
% 0.22/0.56 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.56 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.56 % Preprocessing time : 0.003 s
% 0.22/0.56
% 0.22/0.56 % Proof found!
% 0.22/0.56 % SZS status Unsatisfiable
% 0.22/0.56 % SZS output start CNFRefutation
% See solution above
% 0.22/0.56 % Parsed axioms : 138
% 0.22/0.56 % Removed by relevancy pruning/SinE : 85
% 0.22/0.56 % Initial clauses : 53
% 0.22/0.56 % Removed in clause preprocessing : 0
% 0.22/0.56 % Initial clauses in saturation : 53
% 0.22/0.56 % Processed clauses : 9
% 0.22/0.56 % ...of these trivial : 0
% 0.22/0.56 % ...subsumed : 0
% 0.22/0.56 % ...remaining for further processing : 9
% 0.22/0.56 % Other redundant clauses eliminated : 0
% 0.22/0.56 % Clauses deleted for lack of memory : 0
% 0.22/0.56 % Backward-subsumed : 0
% 0.22/0.56 % Backward-rewritten : 0
% 0.22/0.56 % Generated clauses : 1
% 0.22/0.56 % ...of the previous two non-redundant : 0
% 0.22/0.56 % ...aggressively subsumed : 0
% 0.22/0.56 % Contextual simplify-reflections : 0
% 0.22/0.56 % Paramodulations : 1
% 0.22/0.56 % Factorizations : 0
% 0.22/0.56 % NegExts : 0
% 0.22/0.56 % Equation resolutions : 0
% 0.22/0.56 % Disequality decompositions : 0
% 0.22/0.56 % Total rewrite steps : 0
% 0.22/0.56 % ...of those cached : 0
% 0.22/0.56 % Propositional unsat checks : 0
% 0.22/0.56 % Propositional check models : 0
% 0.22/0.56 % Propositional check unsatisfiable : 0
% 0.22/0.56 % Propositional clauses : 0
% 0.22/0.56 % Propositional clauses after purity: 0
% 0.22/0.56 % Propositional unsat core size : 0
% 0.22/0.56 % Propositional preprocessing time : 0.000
% 0.22/0.56 % Propositional encoding time : 0.000
% 0.22/0.56 % Propositional solver time : 0.000
% 0.22/0.56 % Success case prop preproc time : 0.000
% 0.22/0.56 % Success case prop encoding time : 0.000
% 0.22/0.56 % Success case prop solver time : 0.000
% 0.22/0.56 % Current number of processed clauses : 9
% 0.22/0.56 % Positive orientable unit clauses : 7
% 0.22/0.56 % Positive unorientable unit clauses: 0
% 0.22/0.56 % Negative unit clauses : 2
% 0.22/0.56 % Non-unit-clauses : 0
% 0.22/0.56 % Current number of unprocessed clauses: 44
% 0.22/0.56 % ...number of literals in the above : 94
% 0.22/0.56 % Current number of archived formulas : 0
% 0.22/0.56 % Current number of archived clauses : 0
% 0.22/0.56 % Clause-clause subsumption calls (NU) : 0
% 0.22/0.56 % Rec. Clause-clause subsumption calls : 0
% 0.22/0.56 % Non-unit clause-clause subsumptions : 0
% 0.22/0.56 % Unit Clause-clause subsumption calls : 1
% 0.22/0.56 % Rewrite failures with RHS unbound : 0
% 0.22/0.56 % BW rewrite match attempts : 2
% 0.22/0.56 % BW rewrite match successes : 0
% 0.22/0.56 % Condensation attempts : 0
% 0.22/0.56 % Condensation successes : 0
% 0.22/0.56 % Termbank termtop insertions : 1787
% 0.22/0.56 % Search garbage collected termcells : 472
% 0.22/0.56
% 0.22/0.56 % -------------------------------------------------
% 0.22/0.56 % User time : 0.007 s
% 0.22/0.56 % System time : 0.002 s
% 0.22/0.56 % Total time : 0.009 s
% 0.22/0.56 % Maximum resident set size: 3740 pages
% 0.22/0.56
% 0.22/0.56 % -------------------------------------------------
% 0.22/0.56 % User time : 0.014 s
% 0.22/0.56 % System time : 0.007 s
% 0.22/0.56 % Total time : 0.022 s
% 0.22/0.56 % Maximum resident set size: 4608 pages
% 0.22/0.56 % E exiting
%------------------------------------------------------------------------------