%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV314-1 : 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 : n001.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 02:54:21 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.55s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 16 unt; 3 nHn; 19 RR)
% Number of literals : 34 ( 0 equ; 18 neg)
% Maximal clause size : 6 ( 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; 13 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OtwayRees_Osecrecy__lemma__dest_0,axiom,
( ~ c_in(c_Message_Omsg_OKey(X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X5))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OKey(X5)))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OKey(X5)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_Osecrecy__lemma__dest_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_4,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_0_7,plain,
( ~ c_in(c_Message_Omsg_OKey(X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X5))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OKey(X5)))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OKey(X5)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(fof_simplification,[status(thm)],[cls_OtwayRees_Osecrecy__lemma__dest_0]) ).
cnf(c_0_8,negated_conjecture,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_9,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_10,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_11,plain,
( ~ c_in(c_Message_Omsg_OKey(X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X5))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OKey(X5)))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OKey(X5)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
c_0_7 ).
cnf(c_0_12,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_0 ).
cnf(c_0_13,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
cls_conjecture_5 ).
cnf(c_0_14,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_4 ).
cnf(c_0_15,negated_conjecture,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
c_0_8 ).
cnf(c_0_16,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
c_0_9 ).
cnf(c_0_17,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
c_0_10 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]),c_0_15]),c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV314-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.36 % Computer : n001.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Mon Sep 21 08:45:45 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.18/0.55 % Version: 3.5.1
% 0.18/0.55 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.18/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.55 % Starting sh5l with 300s (1) cores
% 0.18/0.55 % new_bool_3 with pid 2714999 completed with status 0
% 0.18/0.55 % Result found by new_bool_3
% 0.18/0.55 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.18/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.55 % Search class: FGHSM-FFLS31-DFFFFFNN
% 0.18/0.55 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.55 % SubtermCWHack with pid 2715002 completed with status 0
% 0.18/0.55 % Result found by SubtermCWHack
% 0.18/0.55 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.18/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.55 % Search class: FGHSM-FFLS31-DFFFFFNN
% 0.18/0.55 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.55 % Preprocessing time : 0.002 s
% 0.18/0.55
% 0.18/0.55 % Proof found!
% 0.18/0.55 % SZS status Unsatisfiable
% 0.18/0.55 % SZS output start CNFRefutation
% See solution above
% 0.18/0.55 % Parsed axioms : 1478
% 0.18/0.55 % Removed by relevancy pruning/SinE : 1320
% 0.18/0.55 % Initial clauses : 158
% 0.18/0.55 % Removed in clause preprocessing : 0
% 0.18/0.55 % Initial clauses in saturation : 158
% 0.18/0.55 % Processed clauses : 528
% 0.18/0.55 % ...of these trivial : 61
% 0.18/0.55 % ...subsumed : 43
% 0.18/0.55 % ...remaining for further processing : 424
% 0.18/0.55 % Other redundant clauses eliminated : 0
% 0.18/0.55 % Clauses deleted for lack of memory : 0
% 0.18/0.55 % Backward-subsumed : 2
% 0.18/0.55 % Backward-rewritten : 3
% 0.18/0.55 % Generated clauses : 18825
% 0.18/0.55 % ...of the previous two non-redundant : 18412
% 0.18/0.55 % ...aggressively subsumed : 0
% 0.18/0.55 % Contextual simplify-reflections : 0
% 0.18/0.55 % Paramodulations : 18798
% 0.18/0.55 % Factorizations : 0
% 0.18/0.55 % NegExts : 0
% 0.18/0.55 % Equation resolutions : 27
% 0.18/0.55 % Disequality decompositions : 0
% 0.18/0.55 % Total rewrite steps : 417
% 0.18/0.55 % ...of those cached : 96
% 0.18/0.55 % Propositional unsat checks : 0
% 0.18/0.55 % Propositional check models : 0
% 0.18/0.55 % Propositional check unsatisfiable : 0
% 0.18/0.55 % Propositional clauses : 0
% 0.18/0.55 % Propositional clauses after purity: 0
% 0.18/0.55 % Propositional unsat core size : 0
% 0.18/0.55 % Propositional preprocessing time : 0.000
% 0.18/0.55 % Propositional encoding time : 0.000
% 0.18/0.55 % Propositional solver time : 0.000
% 0.18/0.55 % Success case prop preproc time : 0.000
% 0.18/0.55 % Success case prop encoding time : 0.000
% 0.18/0.55 % Success case prop solver time : 0.000
% 0.18/0.55 % Current number of processed clauses : 419
% 0.18/0.55 % Positive orientable unit clauses : 204
% 0.18/0.55 % Positive unorientable unit clauses: 0
% 0.18/0.55 % Negative unit clauses : 22
% 0.18/0.55 % Non-unit-clauses : 193
% 0.18/0.55 % Current number of unprocessed clauses: 18041
% 0.18/0.55 % ...number of literals in the above : 18853
% 0.18/0.55 % Current number of archived formulas : 0
% 0.18/0.55 % Current number of archived clauses : 5
% 0.18/0.55 % Clause-clause subsumption calls (NU) : 9874
% 0.18/0.55 % Rec. Clause-clause subsumption calls : 8624
% 0.18/0.55 % Non-unit clause-clause subsumptions : 29
% 0.18/0.55 % Unit Clause-clause subsumption calls : 129
% 0.18/0.55 % Rewrite failures with RHS unbound : 0
% 0.18/0.55 % BW rewrite match attempts : 2455
% 0.18/0.55 % BW rewrite match successes : 3
% 0.18/0.55 % Condensation attempts : 0
% 0.18/0.55 % Condensation successes : 0
% 0.18/0.55 % Termbank termtop insertions : 285765
% 0.18/0.55 % Search garbage collected termcells : 2873
% 0.18/0.55
% 0.18/0.55 % -------------------------------------------------
% 0.18/0.55 % User time : 0.090 s
% 0.18/0.55 % System time : 0.014 s
% 0.18/0.55 % Total time : 0.104 s
% 0.18/0.55 % Maximum resident set size: 4952 pages
% 0.18/0.55
% 0.18/0.55 % -------------------------------------------------
% 0.18/0.55 % User time : 0.111 s
% 0.18/0.55 % System time : 0.020 s
% 0.18/0.55 % Total time : 0.131 s
% 0.18/0.55 % Maximum resident set size: 5376 pages
% 0.18/0.55 % E exiting
%------------------------------------------------------------------------------