%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV347-2 : 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 : n006.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 0.14s 0.58s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 16 unt; 3 nHn; 20 RR)
% Number of literals : 33 ( 5 equ; 16 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 15 con; 0-3 aty)
% Number of variables : 44 ( 31 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Yahalom_OSays__unique__NB_1,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))
| X5 = X12
| c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_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_conjecture_7,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_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
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_conjecture_0,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_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_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_11,negated_conjecture,
c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_11) ).
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))
| X5 = X12
| 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_1]) ).
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_evs3)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_8]) ).
cnf(c_0_9,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))
| X5 = X12
| c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
c_0_7 ).
cnf(c_0_10,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_evs3,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_7 ).
cnf(c_0_11,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_2 ).
cnf(c_0_12,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_8 ).
cnf(c_0_13,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_14,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(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| X1 = v_A ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_15,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_evs3,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_5 ).
cnf(c_0_16,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
c_0_13 ).
cnf(c_0_17,negated_conjecture,
v_A = v_Aa,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
cls_conjecture_11 ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV347-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.53 % Computer : n006.cluster.edu
% 0.10/0.53 % Model : x86_64 x86_64
% 0.10/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.53 % Memory : 8046.5625MB
% 0.10/0.53 % OS : Linux 6.8.0-71-generic
% 0.10/0.53 % CPULimit : 300
% 0.10/0.53 % WCLimit : 300
% 0.10/0.53 % DateTime : Mon Sep 21 08:42:28 UTC 2026
% 0.10/0.53 % CPUTime :
% 0.10/0.53 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.57 Running first-order theorem proving
% 0.14/0.57 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
% 0.14/0.58 % Version: 3.5.1
% 0.14/0.58 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.58 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.58 % Starting sh5l with 300s (1) cores
% 0.14/0.58 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2461452 completed with status 0
% 0.14/0.58 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.14/0.58 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.58 % No SInE strategy applied
% 0.14/0.58 % Search class: FGUSF-FFSS31-DFFFFFNN
% 0.14/0.58 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.58 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.14/0.58 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.58 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.58 % Starting new_bool_1 with 136s (1) cores
% 0.14/0.58 % SubtermCWHack with pid 2461456 completed with status 0
% 0.14/0.58 % Result found by SubtermCWHack
% 0.14/0.58 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.58 % No SInE strategy applied
% 0.14/0.58 % Search class: FGUSF-FFSS31-DFFFFFNN
% 0.14/0.58 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.58 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.58 % Preprocessing time : 0.001 s
% 0.14/0.58
% 0.14/0.58 % Proof found!
% 0.14/0.58 % SZS status Unsatisfiable
% 0.14/0.58 % SZS output start CNFRefutation
% See solution above
% 0.14/0.58 % Parsed axioms : 7
% 0.14/0.58 % Removed by relevancy pruning/SinE : 0
% 0.14/0.58 % Initial clauses : 7
% 0.14/0.58 % Removed in clause preprocessing : 0
% 0.14/0.58 % Initial clauses in saturation : 7
% 0.14/0.58 % Processed clauses : 9
% 0.14/0.58 % ...of these trivial : 0
% 0.14/0.58 % ...subsumed : 0
% 0.14/0.58 % ...remaining for further processing : 9
% 0.14/0.58 % Other redundant clauses eliminated : 0
% 0.14/0.58 % Clauses deleted for lack of memory : 0
% 0.14/0.58 % Backward-subsumed : 0
% 0.14/0.58 % Backward-rewritten : 2
% 0.14/0.58 % Generated clauses : 3
% 0.14/0.58 % ...of the previous two non-redundant : 3
% 0.14/0.58 % ...aggressively subsumed : 0
% 0.14/0.58 % Contextual simplify-reflections : 0
% 0.14/0.58 % Paramodulations : 3
% 0.14/0.58 % Factorizations : 0
% 0.14/0.58 % NegExts : 0
% 0.14/0.58 % Equation resolutions : 0
% 0.14/0.58 % Disequality decompositions : 0
% 0.14/0.58 % Total rewrite steps : 4
% 0.14/0.58 % ...of those cached : 1
% 0.14/0.58 % Propositional unsat checks : 0
% 0.14/0.58 % Propositional check models : 0
% 0.14/0.58 % Propositional check unsatisfiable : 0
% 0.14/0.58 % Propositional clauses : 0
% 0.14/0.58 % Propositional clauses after purity: 0
% 0.14/0.58 % Propositional unsat core size : 0
% 0.14/0.58 % Propositional preprocessing time : 0.000
% 0.14/0.58 % Propositional encoding time : 0.000
% 0.14/0.58 % Propositional solver time : 0.000
% 0.14/0.58 % Success case prop preproc time : 0.000
% 0.14/0.58 % Success case prop encoding time : 0.000
% 0.14/0.58 % Success case prop solver time : 0.000
% 0.14/0.58 % Current number of processed clauses : 7
% 0.14/0.58 % Positive orientable unit clauses : 5
% 0.14/0.58 % Positive unorientable unit clauses: 0
% 0.14/0.58 % Negative unit clauses : 1
% 0.14/0.58 % Non-unit-clauses : 1
% 0.14/0.58 % Current number of unprocessed clauses: 0
% 0.14/0.58 % ...number of literals in the above : 0
% 0.14/0.58 % Current number of archived formulas : 0
% 0.14/0.58 % Current number of archived clauses : 2
% 0.14/0.58 % Clause-clause subsumption calls (NU) : 1
% 0.14/0.58 % Rec. Clause-clause subsumption calls : 0
% 0.14/0.58 % Non-unit clause-clause subsumptions : 0
% 0.14/0.58 % Unit Clause-clause subsumption calls : 1
% 0.14/0.58 % Rewrite failures with RHS unbound : 0
% 0.14/0.58 % BW rewrite match attempts : 1
% 0.14/0.58 % BW rewrite match successes : 1
% 0.14/0.58 % Condensation attempts : 0
% 0.14/0.58 % Condensation successes : 0
% 0.14/0.58 % Termbank termtop insertions : 412
% 0.14/0.58 % Search garbage collected termcells : 13
% 0.14/0.58
% 0.14/0.58 % -------------------------------------------------
% 0.14/0.58 % User time : 0.002 s
% 0.14/0.58 % System time : 0.002 s
% 0.14/0.58 % Total time : 0.005 s
% 0.14/0.58 % Maximum resident set size: 3600 pages
% 0.14/0.58
% 0.14/0.58 % -------------------------------------------------
% 0.14/0.58 % User time : 0.007 s
% 0.14/0.58 % System time : 0.012 s
% 0.14/0.58 % Total time : 0.019 s
% 0.14/0.58 % Maximum resident set size: 4864 pages
% 0.14/0.58 % E exiting
%------------------------------------------------------------------------------