%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET818-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 02:15:27 PM UTC 2026
% Result : Unsatisfiable 0.13s 10.48s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 4 RR)
% Number of literals : 6 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(X1,c_emptyset,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OemptyE_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_x(X1),X1,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_2,plain,
~ c_in(X1,c_emptyset,X2),
inference(fof_simplification,[status(thm)],[cls_Set_OemptyE_0]) ).
cnf(c_0_3,plain,
~ c_in(X1,c_emptyset,X2),
c_0_2 ).
cnf(c_0_4,negated_conjecture,
c_in(v_x(X1),X1,tc_IntDef_Oint),
cls_conjecture_0 ).
cnf(c_0_5,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_3,c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET818-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/10.37 % Computer : n006.cluster.edu
% 0.11/10.37 % Model : x86_64 x86_64
% 0.11/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.37 % Memory : 8046.5625MB
% 0.11/10.37 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Mon Sep 21 05:39:26 UTC 2026
% 0.11/10.38 % CPUTime :
% 0.11/10.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/10.42 Running first-order theorem proving
% 0.13/10.42 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
% 0.13/10.48 % Version: 3.5.1
% 0.13/10.48 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.13/10.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/10.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/10.48 % Starting new_bool_3 with 300s (1) cores
% 0.13/10.48 % Starting new_bool_1 with 300s (1) cores
% 0.13/10.48 % Starting sh5l with 300s (1) cores
% 0.13/10.48 % new_bool_1 with pid 2108660 completed with status 0
% 0.13/10.48 % Result found by new_bool_1
% 0.13/10.48 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.13/10.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/10.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/10.48 % Starting new_bool_3 with 300s (1) cores
% 0.13/10.48 % Starting new_bool_1 with 300s (1) cores
% 0.13/10.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/10.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/10.48 % Search class: FGHSM-FSLM31-SFFFFFNN
% 0.13/10.48 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.13/10.48 % Starting SubtermCWHack with 28s (1) cores
% 0.13/10.48 % SubtermCWHack with pid 2108663 completed with status 0
% 0.13/10.48 % Result found by SubtermCWHack
% 0.13/10.48 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.13/10.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/10.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/10.48 % Starting new_bool_3 with 300s (1) cores
% 0.13/10.48 % Starting new_bool_1 with 300s (1) cores
% 0.13/10.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/10.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/10.48 % Search class: FGHSM-FSLM31-SFFFFFNN
% 0.13/10.48 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.13/10.48 % Starting SubtermCWHack with 28s (1) cores
% 0.13/10.48 % Preprocessing time : 0.002 s
% 0.13/10.48
% 0.13/10.48 % Proof found!
% 0.13/10.48 % SZS status Unsatisfiable
% 0.13/10.48 % SZS output start CNFRefutation
% See solution above
% 0.13/10.48 % Parsed axioms : 1359
% 0.13/10.48 % Removed by relevancy pruning/SinE : 909
% 0.13/10.48 % Initial clauses : 450
% 0.13/10.48 % Removed in clause preprocessing : 0
% 0.13/10.48 % Initial clauses in saturation : 450
% 0.13/10.48 % Processed clauses : 462
% 0.13/10.48 % ...of these trivial : 0
% 0.13/10.48 % ...subsumed : 36
% 0.13/10.48 % ...remaining for further processing : 426
% 0.13/10.48 % Other redundant clauses eliminated : 0
% 0.13/10.48 % Clauses deleted for lack of memory : 0
% 0.13/10.48 % Backward-subsumed : 1
% 0.13/10.48 % Backward-rewritten : 1
% 0.13/10.48 % Generated clauses : 561
% 0.13/10.48 % ...of the previous two non-redundant : 411
% 0.13/10.48 % ...aggressively subsumed : 0
% 0.13/10.48 % Contextual simplify-reflections : 0
% 0.13/10.48 % Paramodulations : 561
% 0.13/10.48 % Factorizations : 0
% 0.13/10.48 % NegExts : 0
% 0.13/10.48 % Equation resolutions : 0
% 0.13/10.48 % Disequality decompositions : 0
% 0.13/10.48 % Total rewrite steps : 150
% 0.13/10.48 % ...of those cached : 119
% 0.13/10.48 % Propositional unsat checks : 0
% 0.13/10.48 % Propositional check models : 0
% 0.13/10.48 % Propositional check unsatisfiable : 0
% 0.13/10.48 % Propositional clauses : 0
% 0.13/10.48 % Propositional clauses after purity: 0
% 0.13/10.48 % Propositional unsat core size : 0
% 0.13/10.48 % Propositional preprocessing time : 0.000
% 0.13/10.48 % Propositional encoding time : 0.000
% 0.13/10.48 % Propositional solver time : 0.000
% 0.13/10.48 % Success case prop preproc time : 0.000
% 0.13/10.48 % Success case prop encoding time : 0.000
% 0.13/10.48 % Success case prop solver time : 0.000
% 0.13/10.48 % Current number of processed clauses : 424
% 0.13/10.48 % Positive orientable unit clauses : 43
% 0.13/10.48 % Positive unorientable unit clauses: 0
% 0.13/10.48 % Negative unit clauses : 3
% 0.13/10.48 % Non-unit-clauses : 378
% 0.13/10.48 % Current number of unprocessed clauses: 399
% 0.13/10.48 % ...number of literals in the above : 797
% 0.13/10.48 % Current number of archived formulas : 0
% 0.13/10.48 % Current number of archived clauses : 2
% 0.13/10.48 % Clause-clause subsumption calls (NU) : 31381
% 0.13/10.48 % Rec. Clause-clause subsumption calls : 31381
% 0.13/10.48 % Non-unit clause-clause subsumptions : 36
% 0.13/10.48 % Unit Clause-clause subsumption calls : 63
% 0.13/10.48 % Rewrite failures with RHS unbound : 0
% 0.13/10.48 % BW rewrite match attempts : 1
% 0.13/10.48 % BW rewrite match successes : 1
% 0.13/10.48 % Condensation attempts : 0
% 0.13/10.48 % Condensation successes : 0
% 0.13/10.48 % Termbank termtop insertions : 18255
% 0.13/10.48 % Search garbage collected termcells : 2454
% 0.13/10.48
% 0.13/10.48 % -------------------------------------------------
% 0.13/10.48 % User time : 0.017 s
% 0.13/10.48 % System time : 0.004 s
% 0.13/10.48 % Total time : 0.022 s
% 0.13/10.48 % Maximum resident set size: 4808 pages
% 0.13/10.48
% 0.13/10.48 % -------------------------------------------------
% 0.13/10.48 % User time : 0.038 s
% 0.13/10.48 % System time : 0.009 s
% 0.13/10.48 % Total time : 0.046 s
% 0.13/10.48 % Maximum resident set size: 5632 pages
% 0.13/10.48 % E exiting
%------------------------------------------------------------------------------