%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV345-2 : 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 : n012.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 02:54:29 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.33s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 24 ( 7 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 14 con; 0-3 aty)
% Number of variables : 41 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Yahalom_Ounique__session__keys__dest_3,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ 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(c_Message_Omsg_OKey(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))
| X11 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_3) ).
cnf(cls_conjecture_4,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
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_7,negated_conjecture,
v_nb != c_Message_Omsg_ONonce(v_NB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
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_NA),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_5,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ 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(c_Message_Omsg_OKey(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))
| X11 = X6 ),
inference(fof_simplification,[status(thm)],[cls_Yahalom_Ounique__session__keys__dest_3]) ).
cnf(c_0_6,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ 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(c_Message_Omsg_OKey(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))
| X11 = X6 ),
c_0_5 ).
cnf(c_0_7,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_4 ).
cnf(c_0_8,negated_conjecture,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_2 ).
cnf(c_0_9,negated_conjecture,
v_nb != c_Message_Omsg_ONonce(v_NB),
inference(fof_simplification,[status(thm)],[cls_conjecture_7]) ).
cnf(c_0_10,negated_conjecture,
( ~ 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(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X4,X1)))),X5)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| X1 = v_nb ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_11,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_NA),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_12,negated_conjecture,
v_nb != c_Message_Omsg_ONonce(v_NB),
c_0_9 ).
cnf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV345-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 08:41:51 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 0.07/0.33 % Version: 3.5.1
% 0.07/0.33 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.07/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.33 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.07/0.33 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.33 % Starting new_bool_1 with 300s (1) cores
% 0.07/0.33 % Starting sh5l with 300s (1) cores
% 0.07/0.33 % new_bool_3 with pid 2017425 completed with status 0
% 0.07/0.33 % Result found by new_bool_3
% 0.07/0.33 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.07/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.33 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.07/0.33 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.33 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.33 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.33 % Search class: FHUSF-FFSS31-DFFFFFNN
% 0.07/0.33 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.33 % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.33 % SubtermCWHack with pid 2017430 completed with status 0
% 0.07/0.33 % Result found by SubtermCWHack
% 0.07/0.33 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.07/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.33 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.07/0.33 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.33 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.33 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.33 % Search class: FHUSF-FFSS31-DFFFFFNN
% 0.07/0.33 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.33 % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.33 % Preprocessing time : 0.001 s
% 0.07/0.33
% 0.07/0.33 % Proof found!
% 0.07/0.33 % SZS status Unsatisfiable
% 0.07/0.33 % SZS output start CNFRefutation
% See solution above
% 0.07/0.33 % Parsed axioms : 5
% 0.07/0.33 % Removed by relevancy pruning/SinE : 0
% 0.07/0.33 % Initial clauses : 5
% 0.07/0.33 % Removed in clause preprocessing : 0
% 0.07/0.33 % Initial clauses in saturation : 5
% 0.07/0.33 % Processed clauses : 6
% 0.07/0.33 % ...of these trivial : 0
% 0.07/0.33 % ...subsumed : 0
% 0.07/0.33 % ...remaining for further processing : 6
% 0.07/0.33 % Other redundant clauses eliminated : 0
% 0.07/0.33 % Clauses deleted for lack of memory : 0
% 0.07/0.33 % Backward-subsumed : 0
% 0.07/0.33 % Backward-rewritten : 0
% 0.07/0.33 % Generated clauses : 3
% 0.07/0.33 % ...of the previous two non-redundant : 2
% 0.07/0.33 % ...aggressively subsumed : 0
% 0.07/0.33 % Contextual simplify-reflections : 0
% 0.07/0.33 % Paramodulations : 3
% 0.07/0.33 % Factorizations : 0
% 0.07/0.33 % NegExts : 0
% 0.07/0.33 % Equation resolutions : 0
% 0.07/0.33 % Disequality decompositions : 0
% 0.07/0.33 % Total rewrite steps : 2
% 0.07/0.33 % ...of those cached : 1
% 0.07/0.33 % Propositional unsat checks : 0
% 0.07/0.33 % Propositional check models : 0
% 0.07/0.33 % Propositional check unsatisfiable : 0
% 0.07/0.33 % Propositional clauses : 0
% 0.07/0.33 % Propositional clauses after purity: 0
% 0.07/0.33 % Propositional unsat core size : 0
% 0.07/0.33 % Propositional preprocessing time : 0.000
% 0.07/0.33 % Propositional encoding time : 0.000
% 0.07/0.33 % Propositional solver time : 0.000
% 0.07/0.33 % Success case prop preproc time : 0.000
% 0.07/0.33 % Success case prop encoding time : 0.000
% 0.07/0.33 % Success case prop solver time : 0.000
% 0.07/0.33 % Current number of processed clauses : 6
% 0.07/0.33 % Positive orientable unit clauses : 3
% 0.07/0.33 % Positive unorientable unit clauses: 0
% 0.07/0.33 % Negative unit clauses : 1
% 0.07/0.33 % Non-unit-clauses : 2
% 0.07/0.33 % Current number of unprocessed clauses: 1
% 0.07/0.33 % ...number of literals in the above : 2
% 0.07/0.33 % Current number of archived formulas : 0
% 0.07/0.33 % Current number of archived clauses : 0
% 0.07/0.33 % Clause-clause subsumption calls (NU) : 0
% 0.07/0.33 % Rec. Clause-clause subsumption calls : 0
% 0.07/0.33 % Non-unit clause-clause subsumptions : 0
% 0.07/0.33 % Unit Clause-clause subsumption calls : 0
% 0.07/0.33 % Rewrite failures with RHS unbound : 0
% 0.07/0.33 % BW rewrite match attempts : 0
% 0.07/0.33 % BW rewrite match successes : 0
% 0.07/0.33 % Condensation attempts : 0
% 0.07/0.33 % Condensation successes : 0
% 0.07/0.33 % Termbank termtop insertions : 384
% 0.07/0.33 % Search garbage collected termcells : 11
% 0.07/0.33
% 0.07/0.33 % -------------------------------------------------
% 0.07/0.33 % User time : 0.003 s
% 0.07/0.33 % System time : 0.000 s
% 0.07/0.33 % Total time : 0.003 s
% 0.07/0.33 % Maximum resident set size: 3648 pages
% 0.07/0.33
% 0.07/0.33 % -------------------------------------------------
% 0.07/0.33 % User time : 0.005 s
% 0.07/0.33 % System time : 0.002 s
% 0.07/0.33 % Total time : 0.006 s
% 0.07/0.33 % Maximum resident set size: 4608 pages
% 0.07/0.33 % E exiting
%------------------------------------------------------------------------------