%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV310-2 : 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 : n015.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 02:54:20 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.43s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 12 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 3 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_6,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_evs2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_5,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_4,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_evs2,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_0_3,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_evs2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).
cnf(c_0_4,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).
cnf(c_0_5,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_evs2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_3 ).
cnf(c_0_6,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_evs2,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_4 ).
cnf(c_0_7,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
c_0_4 ).
cnf(c_0_8,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV310-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n015.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 08:43:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 0.16/0.43 % Version: 3.5.1
% 0.16/0.43 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.16/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.16/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.43 % Starting sh5l with 300s (1) cores
% 0.16/0.43 % new_bool_3 with pid 1070833 completed with status 0
% 0.16/0.43 % Result found by new_bool_3
% 0.16/0.43 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.16/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.16/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.43 % Search class: FHUNF-FFSF31-DFFFFFNN
% 0.16/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.43 % SubtermCWHack with pid 1070838 completed with status 0
% 0.16/0.43 % Result found by SubtermCWHack
% 0.16/0.43 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.16/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.16/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.43 % Search class: FHUNF-FFSF31-DFFFFFNN
% 0.16/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.43 % Preprocessing time : 0.001 s
% 0.16/0.43
% 0.16/0.43 % Proof found!
% 0.16/0.43 % SZS status Unsatisfiable
% 0.16/0.43 % SZS output start CNFRefutation
% See solution above
% 0.16/0.43 % Parsed axioms : 3
% 0.16/0.43 % Removed by relevancy pruning/SinE : 0
% 0.16/0.43 % Initial clauses : 3
% 0.16/0.43 % Removed in clause preprocessing : 0
% 0.16/0.43 % Initial clauses in saturation : 3
% 0.16/0.43 % Processed clauses : 3
% 0.16/0.43 % ...of these trivial : 0
% 0.16/0.43 % ...subsumed : 0
% 0.16/0.43 % ...remaining for further processing : 2
% 0.16/0.43 % Other redundant clauses eliminated : 0
% 0.16/0.43 % Clauses deleted for lack of memory : 0
% 0.16/0.43 % Backward-subsumed : 0
% 0.16/0.43 % Backward-rewritten : 0
% 0.16/0.43 % Generated clauses : 0
% 0.16/0.43 % ...of the previous two non-redundant : 0
% 0.16/0.43 % ...aggressively subsumed : 0
% 0.16/0.43 % Contextual simplify-reflections : 0
% 0.16/0.43 % Paramodulations : 0
% 0.16/0.43 % Factorizations : 0
% 0.16/0.43 % NegExts : 0
% 0.16/0.43 % Equation resolutions : 0
% 0.16/0.43 % Disequality decompositions : 0
% 0.16/0.43 % Total rewrite steps : 1
% 0.16/0.43 % ...of those cached : 0
% 0.16/0.43 % Propositional unsat checks : 0
% 0.16/0.43 % Propositional check models : 0
% 0.16/0.43 % Propositional check unsatisfiable : 0
% 0.16/0.43 % Propositional clauses : 0
% 0.16/0.43 % Propositional clauses after purity: 0
% 0.16/0.43 % Propositional unsat core size : 0
% 0.16/0.43 % Propositional preprocessing time : 0.000
% 0.16/0.43 % Propositional encoding time : 0.000
% 0.16/0.43 % Propositional solver time : 0.000
% 0.16/0.43 % Success case prop preproc time : 0.000
% 0.16/0.43 % Success case prop encoding time : 0.000
% 0.16/0.43 % Success case prop solver time : 0.000
% 0.16/0.43 % Current number of processed clauses : 2
% 0.16/0.43 % Positive orientable unit clauses : 1
% 0.16/0.43 % Positive unorientable unit clauses: 0
% 0.16/0.43 % Negative unit clauses : 1
% 0.16/0.43 % Non-unit-clauses : 0
% 0.16/0.43 % Current number of unprocessed clauses: 0
% 0.16/0.43 % ...number of literals in the above : 0
% 0.16/0.43 % Current number of archived formulas : 0
% 0.16/0.43 % Current number of archived clauses : 0
% 0.16/0.43 % Clause-clause subsumption calls (NU) : 0
% 0.16/0.43 % Rec. Clause-clause subsumption calls : 0
% 0.16/0.43 % Non-unit clause-clause subsumptions : 0
% 0.16/0.43 % Unit Clause-clause subsumption calls : 0
% 0.16/0.43 % Rewrite failures with RHS unbound : 0
% 0.16/0.43 % BW rewrite match attempts : 0
% 0.16/0.43 % BW rewrite match successes : 0
% 0.16/0.43 % Condensation attempts : 0
% 0.16/0.43 % Condensation successes : 0
% 0.16/0.43 % Termbank termtop insertions : 279
% 0.16/0.43 % Search garbage collected termcells : 4
% 0.16/0.43
% 0.16/0.43 % -------------------------------------------------
% 0.16/0.43 % User time : 0.004 s
% 0.16/0.43 % System time : 0.000 s
% 0.16/0.43 % Total time : 0.004 s
% 0.16/0.43 % Maximum resident set size: 3644 pages
% 0.16/0.43
% 0.16/0.43 % -------------------------------------------------
% 0.16/0.43 % User time : 0.008 s
% 0.16/0.43 % System time : 0.002 s
% 0.16/0.43 % Total time : 0.010 s
% 0.16/0.43 % Maximum resident set size: 4864 pages
% 0.16/0.43 % E exiting
%------------------------------------------------------------------------------