%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET855-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 02:15:36 PM UTC 2026
% Result : Unsatisfiable 0.38s 0.67s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 17 ( 6 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__antisym_0,axiom,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X2 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0) ).
cnf(cls_conjecture_4,negated_conjecture,
v_n != c_Union(v_Y,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_0_4,plain,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X2 = X1 ),
inference(fof_simplification,[status(thm)],[cls_Set_Osubset__antisym_0]) ).
cnf(c_0_5,negated_conjecture,
v_n != c_Union(v_Y,tc_set(t_a)),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_6,plain,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X2 = X1 ),
c_0_4 ).
cnf(c_0_7,negated_conjecture,
c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
cls_conjecture_2 ).
cnf(c_0_8,negated_conjecture,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
cls_conjecture_3 ).
cnf(c_0_9,negated_conjecture,
v_n != c_Union(v_Y,tc_set(t_a)),
c_0_5 ).
cnf(c_0_10,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET855-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.44 % Computer : n009.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Mon Sep 21 05:41:27 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.52 Running first-order theorem proving
% 0.26/0.53 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
% 0.38/0.67 % Version: 3.5.1
% 0.38/0.67 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.38/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.67 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.38/0.67 % Starting new_bool_3 with 300s (1) cores
% 0.38/0.67 % Starting new_bool_1 with 300s (1) cores
% 0.38/0.67 % Starting sh5l with 300s (1) cores
% 0.38/0.67 % new_bool_1 with pid 964309 completed with status 0
% 0.38/0.67 % Result found by new_bool_1
% 0.38/0.67 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.38/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.67 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.38/0.67 % Starting new_bool_3 with 300s (1) cores
% 0.38/0.67 % Starting new_bool_1 with 300s (1) cores
% 0.38/0.67 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.38/0.67 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.38/0.67 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.38/0.67 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.67 % Starting SubtermCWHack with 28s (1) cores
% 0.38/0.67 % SubtermCWHack with pid 964312 completed with status 0
% 0.38/0.67 % Result found by SubtermCWHack
% 0.38/0.67 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.38/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.67 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.38/0.67 % Starting new_bool_3 with 300s (1) cores
% 0.38/0.67 % Starting new_bool_1 with 300s (1) cores
% 0.38/0.67 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.38/0.67 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.38/0.67 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.38/0.67 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.67 % Starting SubtermCWHack with 28s (1) cores
% 0.38/0.67 % Preprocessing time : 0.005 s
% 0.38/0.67
% 0.38/0.67 % Proof found!
% 0.38/0.67 % SZS status Unsatisfiable
% 0.38/0.67 % SZS output start CNFRefutation
% See solution above
% 0.38/0.67 % Parsed axioms : 1373
% 0.38/0.67 % Removed by relevancy pruning/SinE : 1002
% 0.38/0.67 % Initial clauses : 371
% 0.38/0.67 % Removed in clause preprocessing : 0
% 0.38/0.67 % Initial clauses in saturation : 371
% 0.38/0.67 % Processed clauses : 438
% 0.38/0.67 % ...of these trivial : 0
% 0.38/0.67 % ...subsumed : 70
% 0.38/0.67 % ...remaining for further processing : 368
% 0.38/0.67 % Other redundant clauses eliminated : 0
% 0.38/0.67 % Clauses deleted for lack of memory : 0
% 0.38/0.67 % Backward-subsumed : 1
% 0.38/0.67 % Backward-rewritten : 0
% 0.38/0.67 % Generated clauses : 123
% 0.38/0.67 % ...of the previous two non-redundant : 72
% 0.38/0.67 % ...aggressively subsumed : 0
% 0.38/0.67 % Contextual simplify-reflections : 0
% 0.38/0.67 % Paramodulations : 123
% 0.38/0.67 % Factorizations : 0
% 0.38/0.67 % NegExts : 0
% 0.38/0.67 % Equation resolutions : 0
% 0.38/0.67 % Disequality decompositions : 0
% 0.38/0.67 % Total rewrite steps : 47
% 0.38/0.67 % ...of those cached : 26
% 0.38/0.67 % Propositional unsat checks : 0
% 0.38/0.67 % Propositional check models : 0
% 0.38/0.67 % Propositional check unsatisfiable : 0
% 0.38/0.67 % Propositional clauses : 0
% 0.38/0.67 % Propositional clauses after purity: 0
% 0.38/0.67 % Propositional unsat core size : 0
% 0.38/0.67 % Propositional preprocessing time : 0.000
% 0.38/0.67 % Propositional encoding time : 0.000
% 0.38/0.67 % Propositional solver time : 0.000
% 0.38/0.67 % Success case prop preproc time : 0.000
% 0.38/0.67 % Success case prop encoding time : 0.000
% 0.38/0.67 % Success case prop solver time : 0.000
% 0.38/0.67 % Current number of processed clauses : 367
% 0.38/0.67 % Positive orientable unit clauses : 35
% 0.38/0.67 % Positive unorientable unit clauses: 0
% 0.38/0.67 % Negative unit clauses : 5
% 0.38/0.67 % Non-unit-clauses : 327
% 0.38/0.67 % Current number of unprocessed clauses: 5
% 0.38/0.67 % ...number of literals in the above : 16
% 0.38/0.67 % Current number of archived formulas : 0
% 0.38/0.67 % Current number of archived clauses : 1
% 0.38/0.67 % Clause-clause subsumption calls (NU) : 24178
% 0.38/0.67 % Rec. Clause-clause subsumption calls : 24173
% 0.38/0.67 % Non-unit clause-clause subsumptions : 70
% 0.38/0.67 % Unit Clause-clause subsumption calls : 2
% 0.38/0.67 % Rewrite failures with RHS unbound : 0
% 0.38/0.67 % BW rewrite match attempts : 0
% 0.38/0.67 % BW rewrite match successes : 0
% 0.38/0.67 % Condensation attempts : 0
% 0.38/0.67 % Condensation successes : 0
% 0.38/0.67 % Termbank termtop insertions : 15237
% 0.38/0.67 % Search garbage collected termcells : 2581
% 0.38/0.67
% 0.38/0.67 % -------------------------------------------------
% 0.38/0.67 % User time : 0.037 s
% 0.38/0.67 % System time : 0.006 s
% 0.38/0.67 % Total time : 0.043 s
% 0.38/0.67 % Maximum resident set size: 4876 pages
% 0.38/0.67
% 0.38/0.67 % -------------------------------------------------
% 0.38/0.67 % User time : 0.071 s
% 0.38/0.67 % System time : 0.017 s
% 0.38/0.67 % Total time : 0.088 s
% 0.38/0.67 % Maximum resident set size: 5632 pages
% 0.38/0.67 % E exiting
%------------------------------------------------------------------------------