%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV258-1 : 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 : n007.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 02:54:07 PM UTC 2026
% Result : Unsatisfiable 0.37s 0.86s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 10 unt; 0 nHn; 16 RR)
% Number of literals : 31 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 29 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Message_Oparts__subset__iff_1,axiom,
( ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_1) ).
cnf(cls_Message_Oparts__subset__iff_0,axiom,
( ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_0) ).
cnf(cls_Set_Oinsert__subset_2,axiom,
( ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_lessequals(c_insert(X1,X4,X3),X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__subset_2) ).
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(X1,X1,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_6,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_7,plain,
( ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_Message_Oparts__subset__iff_1]) ).
cnf(c_0_8,plain,
( ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_Message_Oparts__subset__iff_0]) ).
cnf(c_0_9,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
c_0_6 ).
cnf(c_0_10,plain,
( ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
c_0_7 ).
cnf(c_0_11,plain,
( ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_lessequals(c_insert(X1,X4,X3),X2,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Set_Oinsert__subset_2]) ).
cnf(c_0_12,plain,
( ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
c_0_8 ).
cnf(c_0_13,axiom,
c_lessequals(X1,X1,tc_set(X2)),
cls_Set_Osubset__refl_0 ).
cnf(c_0_14,negated_conjecture,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
( ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_lessequals(c_insert(X1,X4,X3),X2,tc_set(X3)) ),
c_0_11 ).
cnf(c_0_16,plain,
c_lessequals(X1,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
cls_conjecture_0 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV258-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n007.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 08:34:37 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.53 Running first-order theorem proving
% 0.27/0.53 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
% 0.37/0.86 % Version: 3.5.1
% 0.37/0.86 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.37/0.86 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.86 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.37/0.86 % Starting new_bool_3 with 300s (1) cores
% 0.37/0.86 % Starting new_bool_1 with 300s (1) cores
% 0.37/0.86 % Starting sh5l with 300s (1) cores
% 0.37/0.86 % new_bool_1 with pid 669800 completed with status 0
% 0.37/0.86 % Result found by new_bool_1
% 0.37/0.86 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.37/0.86 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.86 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.37/0.86 % Starting new_bool_3 with 300s (1) cores
% 0.37/0.86 % Starting new_bool_1 with 300s (1) cores
% 0.37/0.86 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.37/0.86 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.37/0.86 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.37/0.86 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.86 % Starting SubtermCWHack with 28s (1) cores
% 0.37/0.86 % SubtermCWHack with pid 669808 completed with status 0
% 0.37/0.86 % Result found by SubtermCWHack
% 0.37/0.86 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.37/0.86 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.86 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.37/0.86 % Starting new_bool_3 with 300s (1) cores
% 0.37/0.86 % Starting new_bool_1 with 300s (1) cores
% 0.37/0.86 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.37/0.86 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.37/0.86 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.37/0.86 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.86 % Starting SubtermCWHack with 28s (1) cores
% 0.37/0.86 % Preprocessing time : 0.007 s
% 0.37/0.86
% 0.37/0.86 % Proof found!
% 0.37/0.86 % SZS status Unsatisfiable
% 0.37/0.86 % SZS output start CNFRefutation
% See solution above
% 0.37/0.86 % Parsed axioms : 2779
% 0.37/0.86 % Removed by relevancy pruning/SinE : 2491
% 0.37/0.86 % Initial clauses : 288
% 0.37/0.86 % Removed in clause preprocessing : 0
% 0.37/0.86 % Initial clauses in saturation : 288
% 0.37/0.86 % Processed clauses : 1518
% 0.37/0.86 % ...of these trivial : 17
% 0.37/0.86 % ...subsumed : 1025
% 0.37/0.86 % ...remaining for further processing : 476
% 0.37/0.86 % Other redundant clauses eliminated : 96
% 0.37/0.86 % Clauses deleted for lack of memory : 0
% 0.37/0.86 % Backward-subsumed : 8
% 0.37/0.86 % Backward-rewritten : 43
% 0.37/0.86 % Generated clauses : 3660
% 0.37/0.86 % ...of the previous two non-redundant : 2785
% 0.37/0.86 % ...aggressively subsumed : 0
% 0.37/0.86 % Contextual simplify-reflections : 0
% 0.37/0.86 % Paramodulations : 3551
% 0.37/0.86 % Factorizations : 0
% 0.37/0.86 % NegExts : 0
% 0.37/0.86 % Equation resolutions : 109
% 0.37/0.86 % Disequality decompositions : 0
% 0.37/0.86 % Total rewrite steps : 1503
% 0.37/0.86 % ...of those cached : 1124
% 0.37/0.86 % Propositional unsat checks : 0
% 0.37/0.86 % Propositional check models : 0
% 0.37/0.86 % Propositional check unsatisfiable : 0
% 0.37/0.86 % Propositional clauses : 0
% 0.37/0.86 % Propositional clauses after purity: 0
% 0.37/0.86 % Propositional unsat core size : 0
% 0.37/0.86 % Propositional preprocessing time : 0.000
% 0.37/0.86 % Propositional encoding time : 0.000
% 0.37/0.86 % Propositional solver time : 0.000
% 0.37/0.86 % Success case prop preproc time : 0.000
% 0.37/0.86 % Success case prop encoding time : 0.000
% 0.37/0.86 % Success case prop solver time : 0.000
% 0.37/0.86 % Current number of processed clauses : 425
% 0.37/0.86 % Positive orientable unit clauses : 132
% 0.37/0.86 % Positive unorientable unit clauses: 0
% 0.37/0.86 % Negative unit clauses : 107
% 0.37/0.86 % Non-unit-clauses : 186
% 0.37/0.86 % Current number of unprocessed clauses: 1473
% 0.37/0.86 % ...number of literals in the above : 2952
% 0.37/0.86 % Current number of archived formulas : 0
% 0.37/0.86 % Current number of archived clauses : 51
% 0.37/0.86 % Clause-clause subsumption calls (NU) : 7219
% 0.37/0.86 % Rec. Clause-clause subsumption calls : 4121
% 0.37/0.86 % Non-unit clause-clause subsumptions : 136
% 0.37/0.86 % Unit Clause-clause subsumption calls : 2355
% 0.37/0.86 % Rewrite failures with RHS unbound : 0
% 0.37/0.86 % BW rewrite match attempts : 120
% 0.37/0.86 % BW rewrite match successes : 32
% 0.37/0.86 % Condensation attempts : 0
% 0.37/0.86 % Condensation successes : 0
% 0.37/0.86 % Termbank termtop insertions : 61084
% 0.37/0.86 % Search garbage collected termcells : 7664
% 0.37/0.86
% 0.37/0.86 % -------------------------------------------------
% 0.37/0.86 % User time : 0.118 s
% 0.37/0.86 % System time : 0.015 s
% 0.37/0.86 % Total time : 0.133 s
% 0.37/0.86 % Maximum resident set size: 6188 pages
% 0.37/0.86
% 0.37/0.86 % -------------------------------------------------
% 0.37/0.86 % User time : 0.210 s
% 0.37/0.86 % System time : 0.026 s
% 0.37/0.86 % Total time : 0.236 s
% 0.37/0.86 % Maximum resident set size: 6400 pages
% 0.37/0.86 % E exiting
%------------------------------------------------------------------------------