%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV353-1 : 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 : n013.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 03:01:22 PM UTC 2026
% Result : Unsatisfiable 128.36s 24.35s
% Output : CNFRefutation 128.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 12 unt; 3 nHn; 22 RR)
% Number of literals : 44 ( 11 equ; 26 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 15 con; 0-3 aty)
% Number of variables : 68 ( 40 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Yahalom_OSays__unique__NB_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(X8,X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X6 = X13
| c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-7.ax',cls_Yahalom_OSays__unique__NB_0) ).
cnf(cls_conjecture_6,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_Yahalom_OSays__Server__imp__YM2_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X5,X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-7.ax',cls_Yahalom_OSays__Server__imp__YM2_0) ).
cnf(cls_conjecture_8,negated_conjecture,
( v_NA != v_NAa
| X1 != c_Message_Omsg_OKey(v_K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_0_7,plain,
( ~ c_in(c_Event_Oevent_OSays(X8,X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X6 = X13
| c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Yahalom_OSays__unique__NB_0]) ).
cnf(c_0_8,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).
cnf(c_0_9,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X5,X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[cls_Yahalom_OSays__Server__imp__YM2_0]) ).
cnf(c_0_10,negated_conjecture,
( v_NA != v_NAa
| X1 != c_Message_Omsg_OKey(v_K) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_8]) ).
cnf(c_0_11,plain,
( ~ c_in(c_Event_Oevent_OSays(X8,X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X6 = X13
| c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
c_0_7 ).
cnf(c_0_12,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_5 ).
cnf(c_0_13,negated_conjecture,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_2 ).
cnf(c_0_14,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
c_0_8 ).
cnf(c_0_15,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X5,X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_9 ).
cnf(c_0_16,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_3 ).
cnf(c_0_17,negated_conjecture,
( v_NA != v_NAa
| X1 != c_Message_Omsg_OKey(v_K) ),
c_0_10 ).
cnf(c_0_18,negated_conjecture,
( ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| X1 = v_NA ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_19,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_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_13])]) ).
cnf(c_0_20,negated_conjecture,
v_NAa != v_NA,
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV353-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.39 % Computer : n013.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Mon Sep 21 08:42:11 UTC 2026
% 0.17/5.40 % CPUTime :
% 0.17/5.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/5.47 Running first-order theorem proving
% 0.17/5.47 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
% 128.36/24.35 % Version: 3.5.1
% 128.36/24.35 % Preprocessing class: FMLMSMSMSSSNFFN.
% 128.36/24.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 128.36/24.35 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 128.36/24.35 % Starting new_bool_3 with 300s (1) cores
% 128.36/24.35 % Starting new_bool_1 with 300s (1) cores
% 128.36/24.35 % Starting sh5l with 300s (1) cores
% 128.36/24.35 % new_bool_3 with pid 392760 completed with status 0
% 128.36/24.35 % Result found by new_bool_3
% 128.36/24.35 % Preprocessing class: FMLMSMSMSSSNFFN.
% 128.36/24.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 128.36/24.35 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 128.36/24.35 % Starting new_bool_3 with 300s (1) cores
% 128.36/24.35 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 128.36/24.35 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 128.36/24.35 % Search class: FGHSM-FSLM31-DFFFFFNN
% 128.36/24.35 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 128.36/24.35 % Starting SubtermCWHack with 28s (1) cores
% 128.36/24.35 % SubtermCWHack with pid 392763 completed with status 0
% 128.36/24.35 % Result found by SubtermCWHack
% 128.36/24.35 % Preprocessing class: FMLMSMSMSSSNFFN.
% 128.36/24.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 128.36/24.35 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 128.36/24.35 % Starting new_bool_3 with 300s (1) cores
% 128.36/24.35 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 128.36/24.35 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 128.36/24.35 % Search class: FGHSM-FSLM31-DFFFFFNN
% 128.36/24.35 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 128.36/24.35 % Starting SubtermCWHack with 28s (1) cores
% 128.36/24.35 % Preprocessing time : 0.012 s
% 128.36/24.35
% 128.36/24.35 % Proof found!
% 128.36/24.35 % SZS status Unsatisfiable
% 128.36/24.35 % SZS output start CNFRefutation
% See solution above
% 128.36/24.35 % Parsed axioms : 2974
% 128.36/24.35 % Removed by relevancy pruning/SinE : 2365
% 128.36/24.35 % Initial clauses : 609
% 128.36/24.35 % Removed in clause preprocessing : 0
% 128.36/24.35 % Initial clauses in saturation : 609
% 128.36/24.35 % Processed clauses : 57563
% 128.36/24.35 % ...of these trivial : 1412
% 128.36/24.35 % ...subsumed : 49546
% 128.36/24.35 % ...remaining for further processing : 6605
% 128.36/24.35 % Other redundant clauses eliminated : 8165
% 128.36/24.35 % Clauses deleted for lack of memory : 0
% 128.36/24.35 % Backward-subsumed : 387
% 128.36/24.35 % Backward-rewritten : 191
% 128.36/24.35 % Generated clauses : 728258
% 128.36/24.35 % ...of the previous two non-redundant : 574069
% 128.36/24.35 % ...aggressively subsumed : 0
% 128.36/24.35 % Contextual simplify-reflections : 85
% 128.36/24.35 % Paramodulations : 719980
% 128.36/24.35 % Factorizations : 26
% 128.36/24.35 % NegExts : 0
% 128.36/24.35 % Equation resolutions : 8252
% 128.36/24.35 % Disequality decompositions : 0
% 128.36/24.35 % Total rewrite steps : 452751
% 128.36/24.35 % ...of those cached : 421440
% 128.36/24.35 % Propositional unsat checks : 0
% 128.36/24.35 % Propositional check models : 0
% 128.36/24.35 % Propositional check unsatisfiable : 0
% 128.36/24.35 % Propositional clauses : 0
% 128.36/24.35 % Propositional clauses after purity: 0
% 128.36/24.35 % Propositional unsat core size : 0
% 128.36/24.35 % Propositional preprocessing time : 0.000
% 128.36/24.35 % Propositional encoding time : 0.000
% 128.36/24.35 % Propositional solver time : 0.000
% 128.36/24.35 % Success case prop preproc time : 0.000
% 128.36/24.35 % Success case prop encoding time : 0.000
% 128.36/24.35 % Success case prop solver time : 0.000
% 128.36/24.35 % Current number of processed clauses : 6026
% 128.36/24.35 % Positive orientable unit clauses : 1321
% 128.36/24.35 % Positive unorientable unit clauses: 33
% 128.36/24.35 % Negative unit clauses : 1026
% 128.36/24.35 % Non-unit-clauses : 3646
% 128.36/24.35 % Current number of unprocessed clauses: 514605
% 128.36/24.35 % ...number of literals in the above : 1366010
% 128.36/24.35 % Current number of archived formulas : 0
% 128.36/24.35 % Current number of archived clauses : 578
% 128.36/24.35 % Clause-clause subsumption calls (NU) : 2853407
% 128.36/24.35 % Rec. Clause-clause subsumption calls : 1510249
% 128.36/24.35 % Non-unit clause-clause subsumptions : 16164
% 128.36/24.35 % Unit Clause-clause subsumption calls : 388413
% 128.36/24.35 % Rewrite failures with RHS unbound : 157
% 128.36/24.35 % BW rewrite match attempts : 8960
% 128.36/24.35 % BW rewrite match successes : 276
% 128.36/24.35 % Condensation attempts : 0
% 128.36/24.35 % Condensation successes : 0
% 128.36/24.35 % Termbank termtop insertions : 11525250
% 128.36/24.35 % Search garbage collected termcells : 7796
% 128.36/24.35
% 128.36/24.35 % -------------------------------------------------
% 128.36/24.35 % User time : 17.771 s
% 128.36/24.35 % System time : 0.544 s
% 128.36/24.35 % Total time : 18.314 s
% 128.36/24.35 % Maximum resident set size: 6612 pages
% 128.36/24.35
% 128.36/24.35 % -------------------------------------------------
% 128.36/24.35 % User time : 17.871 s
% 128.36/24.35 % System time : 0.556 s
% 128.36/24.35 % Total time : 18.427 s
% 128.36/24.35 % Maximum resident set size: 6912 pages
% 128.36/24.35 % E exiting
%------------------------------------------------------------------------------