%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV262-2 : 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 : 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 02:54:08 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.54s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 11 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OUn__insert__left_0,axiom,
c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__insert__left_0) ).
cnf(cls_Set_OUn__empty__left_0,axiom,
c_union(c_emptyset,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Message_Oparts__Un_0,axiom,
c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__Un_0) ).
cnf(c_0_4,axiom,
c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3),
cls_Set_OUn__insert__left_0 ).
cnf(c_0_5,axiom,
c_union(c_emptyset,X1,X2) = X1,
cls_Set_OUn__empty__left_0 ).
cnf(c_0_6,negated_conjecture,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_7,plain,
c_union(c_insert(X1,c_emptyset,X2),X3,X2) = c_insert(X1,X3,X2),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
c_0_6 ).
cnf(c_0_9,axiom,
c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),
cls_Message_Oparts__Un_0 ).
cnf(c_0_10,plain,
c_union(c_insert(X1,c_insert(X2,c_emptyset,X3),X3),X4,X3) = c_insert(X1,c_insert(X2,X4,X3),X3),
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_7]),c_0_9]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV262-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n003.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 08:38:30 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.52 Running first-order theorem proving
% 0.27/0.52 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
% 0.27/0.54 % Version: 3.5.1
% 0.27/0.54 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.27/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.54 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.27/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.54 % Starting sh5l with 300s (1) cores
% 0.27/0.54 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3879259 completed with status 0
% 0.27/0.54 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.27/0.54 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.27/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.54 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.27/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.54 % No SInE strategy applied
% 0.27/0.54 % Search class: FUUPS-FFSF32-MFFFFFNN
% 0.27/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.54 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.27/0.54 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.27/0.54 % Starting new_bool_3 with 136s (1) cores
% 0.27/0.54 % Starting new_bool_1 with 136s (1) cores
% 0.27/0.54 % SubtermCWHack with pid 3879263 completed with status 0
% 0.27/0.54 % Result found by SubtermCWHack
% 0.27/0.54 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.27/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.54 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.27/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.54 % No SInE strategy applied
% 0.27/0.54 % Search class: FUUPS-FFSF32-MFFFFFNN
% 0.27/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.54 % Preprocessing time : 0.001 s
% 0.27/0.54
% 0.27/0.54 % Proof found!
% 0.27/0.54 % SZS status Unsatisfiable
% 0.27/0.54 % SZS output start CNFRefutation
% See solution above
% 0.27/0.54 % Parsed axioms : 4
% 0.27/0.54 % Removed by relevancy pruning/SinE : 0
% 0.27/0.54 % Initial clauses : 4
% 0.27/0.54 % Removed in clause preprocessing : 0
% 0.27/0.54 % Initial clauses in saturation : 4
% 0.27/0.54 % Processed clauses : 9
% 0.27/0.54 % ...of these trivial : 0
% 0.27/0.54 % ...subsumed : 0
% 0.27/0.54 % ...remaining for further processing : 8
% 0.27/0.54 % Other redundant clauses eliminated : 0
% 0.27/0.54 % Clauses deleted for lack of memory : 0
% 0.27/0.54 % Backward-subsumed : 0
% 0.27/0.54 % Backward-rewritten : 0
% 0.27/0.54 % Generated clauses : 7
% 0.27/0.54 % ...of the previous two non-redundant : 7
% 0.27/0.54 % ...aggressively subsumed : 0
% 0.27/0.54 % Contextual simplify-reflections : 0
% 0.27/0.54 % Paramodulations : 7
% 0.27/0.54 % Factorizations : 0
% 0.27/0.54 % NegExts : 0
% 0.27/0.54 % Equation resolutions : 0
% 0.27/0.54 % Disequality decompositions : 0
% 0.27/0.54 % Total rewrite steps : 4
% 0.27/0.54 % ...of those cached : 0
% 0.27/0.54 % Propositional unsat checks : 0
% 0.27/0.54 % Propositional check models : 0
% 0.27/0.54 % Propositional check unsatisfiable : 0
% 0.27/0.54 % Propositional clauses : 0
% 0.27/0.54 % Propositional clauses after purity: 0
% 0.27/0.54 % Propositional unsat core size : 0
% 0.27/0.54 % Propositional preprocessing time : 0.000
% 0.27/0.54 % Propositional encoding time : 0.000
% 0.27/0.54 % Propositional solver time : 0.000
% 0.27/0.54 % Success case prop preproc time : 0.000
% 0.27/0.54 % Success case prop encoding time : 0.000
% 0.27/0.54 % Success case prop solver time : 0.000
% 0.27/0.54 % Current number of processed clauses : 8
% 0.27/0.54 % Positive orientable unit clauses : 8
% 0.27/0.54 % Positive unorientable unit clauses: 0
% 0.27/0.54 % Negative unit clauses : 0
% 0.27/0.54 % Non-unit-clauses : 0
% 0.27/0.54 % Current number of unprocessed clauses: 2
% 0.27/0.54 % ...number of literals in the above : 2
% 0.27/0.54 % Current number of archived formulas : 0
% 0.27/0.54 % Current number of archived clauses : 0
% 0.27/0.54 % Clause-clause subsumption calls (NU) : 0
% 0.27/0.54 % Rec. Clause-clause subsumption calls : 0
% 0.27/0.54 % Non-unit clause-clause subsumptions : 0
% 0.27/0.54 % Unit Clause-clause subsumption calls : 0
% 0.27/0.54 % Rewrite failures with RHS unbound : 0
% 0.27/0.54 % BW rewrite match attempts : 2
% 0.27/0.54 % BW rewrite match successes : 0
% 0.27/0.54 % Condensation attempts : 0
% 0.27/0.54 % Condensation successes : 0
% 0.27/0.54 % Termbank termtop insertions : 314
% 0.27/0.54 % Search garbage collected termcells : 2
% 0.27/0.54
% 0.27/0.54 % -------------------------------------------------
% 0.27/0.54 % User time : 0.001 s
% 0.27/0.54 % System time : 0.005 s
% 0.27/0.54 % Total time : 0.006 s
% 0.27/0.54 % Maximum resident set size: 3580 pages
% 0.27/0.54
% 0.27/0.54 % -------------------------------------------------
% 0.27/0.54 % User time : 0.008 s
% 0.27/0.54 % System time : 0.015 s
% 0.27/0.54 % Total time : 0.022 s
% 0.27/0.54 % Maximum resident set size: 4608 pages
% 0.27/0.54 % E exiting
%------------------------------------------------------------------------------