%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV359-1 : 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 : n004.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 02:54:32 PM UTC 2026
% Result : Unsatisfiable 7.54s 1.60s
% Output : CNFRefutation 7.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 13 unt; 0 nHn; 30 RR)
% Number of literals : 56 ( 0 equ; 30 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 12 con; 0-2 aty)
% Number of variables : 42 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,
( ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-4.ax',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
cnf(cls_Message_OMPair__analz_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OMPair__analz_0) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Public_Oanalz__shrK__Decrypt_0,axiom,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-7.ax',cls_Public_Oanalz__shrK__Decrypt_0) ).
cnf(cls_Message_OMPair__analz_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OMPair__analz_1) ).
cnf(cls_conjecture_8,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(cls_Yahalom_OSpy__analz__shrK_1,axiom,
( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-4.ax',cls_Yahalom_OSpy__analz__shrK_1) ).
cnf(cls_conjecture_9,negated_conjecture,
c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(c_0_9,plain,
( ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Yahalom_OGets__imp__analz__Spy__dest_0]) ).
cnf(c_0_10,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_OMPair__analz_0]) ).
cnf(c_0_11,plain,
( ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
c_0_9 ).
cnf(c_0_12,negated_conjecture,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_5 ).
cnf(c_0_13,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_2 ).
cnf(c_0_14,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Public_Oanalz__shrK__Decrypt_0]) ).
cnf(c_0_15,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
c_0_10 ).
cnf(c_0_16,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_17,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
c_0_14 ).
cnf(c_0_18,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_OMPair__analz_1]) ).
cnf(c_0_20,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_8]) ).
cnf(c_0_22,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
c_0_19 ).
cnf(c_0_23,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
c_0_21 ).
cnf(c_0_25,plain,
( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Yahalom_OSpy__analz__shrK_1]) ).
cnf(c_0_26,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_27,plain,
( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
c_0_25 ).
cnf(c_0_28,negated_conjecture,
c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
cls_conjecture_9 ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_13]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV359-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n004.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 08:43:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 7.54/1.60 % Version: 3.5.1
% 7.54/1.60 % Preprocessing class: FMLMSMSMSSSNFFN.
% 7.54/1.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.54/1.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.54/1.60 % Starting new_bool_3 with 300s (1) cores
% 7.54/1.60 % Starting new_bool_1 with 300s (1) cores
% 7.54/1.60 % Starting sh5l with 300s (1) cores
% 7.54/1.60 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2750073 completed with status 0
% 7.54/1.60 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 7.54/1.60 % Preprocessing class: FMLMSMSMSSSNFFN.
% 7.54/1.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.54/1.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.54/1.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.54/1.60 % No SInE strategy applied
% 7.54/1.60 % Search class: FGHSM-SMLM32-DFFFFFNN
% 7.54/1.60 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 7.54/1.60 % Starting SubtermCWHack with 136s (1) cores
% 7.54/1.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.54/1.60 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 7.54/1.60 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 7.54/1.60 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 7.54/1.60 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2750081 completed with status 0
% 7.54/1.60 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 7.54/1.60 % Preprocessing class: FMLMSMSMSSSNFFN.
% 7.54/1.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.54/1.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.54/1.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.54/1.60 % No SInE strategy applied
% 7.54/1.60 % Search class: FGHSM-SMLM32-DFFFFFNN
% 7.54/1.60 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 7.54/1.60 % Starting SubtermCWHack with 136s (1) cores
% 7.54/1.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.54/1.60 % Preprocessing time : 0.036 s
% 7.54/1.60 % Presaturation interreduction done
% 7.54/1.60
% 7.54/1.60 % Proof found!
% 7.54/1.60 % SZS status Unsatisfiable
% 7.54/1.60 % SZS output start CNFRefutation
% See solution above
% 7.54/1.60 % Parsed axioms : 2977
% 7.54/1.60 % Removed by relevancy pruning/SinE : 0
% 7.54/1.60 % Initial clauses : 2977
% 7.54/1.60 % Removed in clause preprocessing : 12
% 7.54/1.60 % Initial clauses in saturation : 2965
% 7.54/1.60 % Processed clauses : 6275
% 7.54/1.60 % ...of these trivial : 28
% 7.54/1.60 % ...subsumed : 1139
% 7.54/1.60 % ...remaining for further processing : 5108
% 7.54/1.60 % Other redundant clauses eliminated : 79
% 7.54/1.60 % Clauses deleted for lack of memory : 0
% 7.54/1.60 % Backward-subsumed : 16
% 7.54/1.60 % Backward-rewritten : 30
% 7.54/1.60 % Generated clauses : 8759
% 7.54/1.60 % ...of the previous two non-redundant : 6822
% 7.54/1.60 % ...aggressively subsumed : 0
% 7.54/1.60 % Contextual simplify-reflections : 2
% 7.54/1.60 % Paramodulations : 8618
% 7.54/1.60 % Factorizations : 0
% 7.54/1.60 % NegExts : 0
% 7.54/1.60 % Equation resolutions : 141
% 7.54/1.60 % Disequality decompositions : 0
% 7.54/1.60 % Total rewrite steps : 3092
% 7.54/1.60 % ...of those cached : 2366
% 7.54/1.60 % Propositional unsat checks : 1
% 7.54/1.60 % Propositional check models : 1
% 7.54/1.60 % Propositional check unsatisfiable : 0
% 7.54/1.60 % Propositional clauses : 0
% 7.54/1.60 % Propositional clauses after purity: 0
% 7.54/1.60 % Propositional unsat core size : 0
% 7.54/1.60 % Propositional preprocessing time : 0.000
% 7.54/1.60 % Propositional encoding time : 0.013
% 7.54/1.60 % Propositional solver time : 0.014
% 7.54/1.60 % Success case prop preproc time : 0.000
% 7.54/1.60 % Success case prop encoding time : 0.000
% 7.54/1.60 % Success case prop solver time : 0.000
% 7.54/1.60 % Current number of processed clauses : 2256
% 7.54/1.60 % Positive orientable unit clauses : 541
% 7.54/1.60 % Positive unorientable unit clauses: 1
% 7.54/1.60 % Negative unit clauses : 84
% 7.54/1.60 % Non-unit-clauses : 1630
% 7.54/1.60 % Current number of unprocessed clauses: 6315
% 7.54/1.60 % ...number of literals in the above : 15913
% 7.54/1.60 % Current number of archived formulas : 0
% 7.54/1.60 % Current number of archived clauses : 2862
% 7.54/1.60 % Clause-clause subsumption calls (NU) : 3356796
% 7.54/1.61 % Rec. Clause-clause subsumption calls : 2154942
% 7.54/1.61 % Non-unit clause-clause subsumptions : 1002
% 7.54/1.61 % Unit Clause-clause subsumption calls : 137406
% 7.54/1.61 % Rewrite failures with RHS unbound : 0
% 7.54/1.61 % BW rewrite match attempts : 514
% 7.54/1.61 % BW rewrite match successes : 35
% 7.54/1.61 % Condensation attempts : 0
% 7.54/1.61 % Condensation successes : 0
% 7.54/1.61 % Termbank termtop insertions : 234421
% 7.54/1.61 % Search garbage collected termcells : 4358
% 7.54/1.61
% 7.54/1.61 % -------------------------------------------------
% 7.54/1.61 % User time : 1.018 s
% 7.54/1.61 % System time : 0.038 s
% 7.54/1.61 % Total time : 1.056 s
% 7.54/1.61 % Maximum resident set size: 8920 pages
% 7.54/1.61
% 7.54/1.61 % -------------------------------------------------
% 7.54/1.61 % User time : 4.977 s
% 7.54/1.61 % System time : 0.179 s
% 7.54/1.61 % Total time : 5.156 s
% 7.54/1.61 % Maximum resident set size: 6912 pages
% 7.54/1.61 % E exiting
%------------------------------------------------------------------------------