%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV248-1 : 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 : n016.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 02:54:04 PM UTC 2026
% Result : Unsatisfiable 54.29s 8.45s
% Output : CNFRefutation 54.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 40 ( 8 unt; 2 nHn; 29 RR)
% Number of literals : 76 ( 0 equ; 42 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 92 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Set_OUn__least_0,axiom,
( ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__least_0) ).
cnf(cls_Message_Oanalz__mono_0,axiom,
( ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).
cnf(cls_Set_OUnCI_0,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_union(X4,X2,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_0) ).
cnf(cls_Message_Oanalz_OInj_0,axiom,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV004-0.ax',cls_Message_Oanalz_OInj_0) ).
cnf(cls_Set_OUnCI_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_union(X2,X4,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_1) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).
cnf(cls_Message_Osynth_OInj_0,axiom,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV004-0.ax',cls_Message_Osynth_OInj_0) ).
cnf(c_0_9,negated_conjecture,
~ c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_10,plain,
( ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Set_OUn__least_0]) ).
cnf(c_0_11,negated_conjecture,
~ c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
c_0_9 ).
cnf(c_0_12,plain,
( ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3)) ),
c_0_10 ).
cnf(c_0_13,plain,
( ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_Message_Oanalz__mono_0]) ).
cnf(c_0_14,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Set_OsubsetI_1]) ).
cnf(c_0_15,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_union(X4,X2,X3),X3) ),
inference(fof_simplification,[status(thm)],[cls_Set_OUnCI_0]) ).
cnf(c_0_16,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_Oanalz_OInj_0]) ).
cnf(c_0_17,negated_conjecture,
( ~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
( ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
c_0_13 ).
cnf(c_0_19,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
c_0_14 ).
cnf(c_0_20,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_union(X4,X2,X3),X3) ),
c_0_15 ).
cnf(c_0_21,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_16 ).
cnf(c_0_22,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_union(X2,X4,X3),X3) ),
inference(fof_simplification,[status(thm)],[cls_Set_OUnCI_1]) ).
cnf(c_0_23,negated_conjecture,
( ~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,c_union(X2,X3,X4),X4),X3,X4)
| c_lessequals(X1,c_union(X2,X3,X4),tc_set(X4)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
cls_Set_OsubsetI_0 ).
cnf(c_0_26,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oanalz(X2),tc_Message_Omsg),X2,tc_Message_Omsg)
| c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_27,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_union(X2,X4,X3),X3) ),
c_0_22 ).
cnf(c_0_28,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_Osynth_OInj_0]) ).
cnf(c_0_29,negated_conjecture,
( ~ c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_23,c_0_12]) ).
cnf(c_0_30,plain,
c_lessequals(X1,c_union(X2,X1,X3),tc_set(X3)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oanalz(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),X2,tc_Message_Omsg)
| c_lessequals(X1,c_Message_Oanalz(c_union(X2,X3,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,c_union(X2,X3,X4),X4),X2,X4)
| c_lessequals(X1,c_union(X2,X3,X4),tc_set(X4)) ),
inference(spm,[status(thm)],[c_0_19,c_0_27]) ).
cnf(c_0_33,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
c_0_28 ).
cnf(c_0_34,negated_conjecture,
( ~ c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_35,plain,
c_lessequals(X1,c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_31,c_0_25]) ).
cnf(c_0_36,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,c_union(c_Message_Osynth(X2),X3,tc_Message_Omsg),tc_Message_Omsg),X2,tc_Message_Omsg)
| c_lessequals(X1,c_union(c_Message_Osynth(X2),X3,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
~ c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_38,plain,
c_lessequals(X1,c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_36,c_0_25]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV248-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 08:40:53 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 54.29/8.45 % Version: 3.5.1
% 54.29/8.45 % Preprocessing class: FMLMSMSMSSSNFFN.
% 54.29/8.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.29/8.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 54.29/8.45 % Starting new_bool_3 with 300s (1) cores
% 54.29/8.45 % Starting new_bool_1 with 300s (1) cores
% 54.29/8.45 % Starting sh5l with 300s (1) cores
% 54.29/8.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2043808 completed with status 0
% 54.29/8.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 54.29/8.45 % Preprocessing class: FMLMSMSMSSSNFFN.
% 54.29/8.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.29/8.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 54.29/8.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 54.29/8.45 % No SInE strategy applied
% 54.29/8.45 % Search class: FGHSM-SSLM32-MFFFFFNN
% 54.29/8.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 54.29/8.45 % Starting SubtermCWHack with 136s (1) cores
% 54.29/8.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 54.29/8.45 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 54.29/8.45 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 54.29/8.45 % Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 54.29/8.45 % G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with pid 2043831 completed with status 0
% 54.29/8.45 % Result found by G-E--_208_C47_F1_SE_CS_SP_PS_S0Y
% 54.29/8.45 % Preprocessing class: FMLMSMSMSSSNFFN.
% 54.29/8.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.29/8.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 54.29/8.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 54.29/8.45 % No SInE strategy applied
% 54.29/8.45 % Search class: FGHSM-SSLM32-MFFFFFNN
% 54.29/8.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 54.29/8.45 % Starting SubtermCWHack with 136s (1) cores
% 54.29/8.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 54.29/8.45 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 54.29/8.45 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 54.29/8.45 % Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 54.29/8.45 % Preprocessing time : 0.011 s
% 54.29/8.45 % Presaturation interreduction done
% 54.29/8.45
% 54.29/8.45 % Proof found!
% 54.29/8.45 % SZS status Unsatisfiable
% 54.29/8.45 % SZS output start CNFRefutation
% See solution above
% 54.29/8.45 % Parsed axioms : 1401
% 54.29/8.45 % Removed by relevancy pruning/SinE : 0
% 54.29/8.45 % Initial clauses : 1401
% 54.29/8.45 % Removed in clause preprocessing : 1
% 54.29/8.45 % Initial clauses in saturation : 1400
% 54.29/8.45 % Processed clauses : 30609
% 54.29/8.45 % ...of these trivial : 417
% 54.29/8.45 % ...subsumed : 24272
% 54.29/8.45 % ...remaining for further processing : 5920
% 54.29/8.45 % Other redundant clauses eliminated : 210
% 54.29/8.45 % Clauses deleted for lack of memory : 0
% 54.29/8.45 % Backward-subsumed : 171
% 54.29/8.45 % Backward-rewritten : 381
% 54.29/8.45 % Generated clauses : 243609
% 54.29/8.45 % ...of the previous two non-redundant : 213983
% 54.29/8.45 % ...aggressively subsumed : 0
% 54.29/8.45 % Contextual simplify-reflections : 15
% 54.29/8.45 % Paramodulations : 243345
% 54.29/8.45 % Factorizations : 12
% 54.29/8.45 % NegExts : 0
% 54.29/8.45 % Equation resolutions : 252
% 54.29/8.45 % Disequality decompositions : 0
% 54.29/8.45 % Total rewrite steps : 211392
% 54.29/8.45 % ...of those cached : 207166
% 54.29/8.45 % Propositional unsat checks : 0
% 54.29/8.45 % Propositional check models : 0
% 54.29/8.45 % Propositional check unsatisfiable : 0
% 54.29/8.45 % Propositional clauses : 0
% 54.29/8.45 % Propositional clauses after purity: 0
% 54.29/8.45 % Propositional unsat core size : 0
% 54.29/8.45 % Propositional preprocessing time : 0.000
% 54.29/8.45 % Propositional encoding time : 0.000
% 54.29/8.45 % Propositional solver time : 0.000
% 54.29/8.45 % Success case prop preproc time : 0.000
% 54.29/8.45 % Success case prop encoding time : 0.000
% 54.29/8.45 % Success case prop solver time : 0.000
% 54.29/8.45 % Current number of processed clauses : 4007
% 54.29/8.45 % Positive orientable unit clauses : 379
% 54.29/8.45 % Positive unorientable unit clauses: 0
% 54.29/8.45 % Negative unit clauses : 201
% 54.29/8.45 % Non-unit-clauses : 3427
% 54.29/8.45 % Current number of unprocessed clauses: 171927
% 54.29/8.45 % ...number of literals in the above : 532730
% 54.29/8.45 % Current number of archived formulas : 0
% 54.29/8.45 % Current number of archived clauses : 1913
% 54.29/8.45 % Clause-clause subsumption calls (NU) : 4171644
% 54.29/8.45 % Rec. Clause-clause subsumption calls : 3669220
% 54.29/8.45 % Non-unit clause-clause subsumptions : 12077
% 54.29/8.45 % Unit Clause-clause subsumption calls : 46947
% 54.29/8.45 % Rewrite failures with RHS unbound : 0
% 54.29/8.45 % BW rewrite match attempts : 734
% 54.29/8.45 % BW rewrite match successes : 213
% 54.29/8.45 % Condensation attempts : 0
% 54.29/8.45 % Condensation successes : 0
% 54.29/8.45 % Termbank termtop insertions : 8114461
% 54.29/8.45 % Search garbage collected termcells : 1693
% 54.29/8.45
% 54.29/8.45 % -------------------------------------------------
% 54.29/8.45 % User time : 7.510 s
% 54.29/8.45 % System time : 0.217 s
% 54.29/8.45 % Total time : 7.727 s
% 54.29/8.45 % Maximum resident set size: 5868 pages
% 54.29/8.45
% 54.29/8.45 % -------------------------------------------------
% 54.29/8.45 % User time : 37.043 s
% 54.29/8.45 % System time : 1.242 s
% 54.29/8.45 % Total time : 38.285 s
% 54.29/8.45 % Maximum resident set size: 5632 pages
% 54.29/8.45 % E exiting
%------------------------------------------------------------------------------