%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV362-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Sun Sep 27 09:07:33 AM UTC 2026
% Result : Unsatisfiable 99.93s 14.15s
% Output : CNFRefutation 99.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 15 unt; 0 def)
% Number of atoms : 36 ( 7 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 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 ( 23 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_Yahalom_OSays__unique__NB_1,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12] :
( VAR_4 = VAR_11
| c_in(VAR_6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(VAR_7,VAR_8,c_Message_Omsg_OMPair(VAR_9,c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(VAR_12),VAR_6))))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(VAR_1,c_Message_Omsg_OMPair(VAR_2,c_Message_Omsg_OCrypt(c_Public_OshrK(VAR_3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(VAR_4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(VAR_5),VAR_6))))),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(VAR_0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_Yahalom_OSays__unique__NB_1) ).
cnf(c_1625,plain,
( E = V11
| c_in(V6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V7,V8,c_Message_Omsg_OMPair(V9,c_Message_Omsg_OCrypt(c_Public_OshrK(V10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V12),V6))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(F),V6))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(clausify,[status(thm)],[cls_Yahalom_OSays__unique__NB_1]) ).
fof(cls_conjecture_0,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_1637,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_2,axiom,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_1640,plain,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
fof(cls_conjecture_5,axiom,
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('theBenchmark.p',cls_conjecture_5) ).
cnf(c_1643,plain,
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),
inference(clausify,[status(thm)],[cls_conjecture_5]) ).
fof(cls_conjecture_7,axiom,
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('theBenchmark.p',cls_conjecture_7) ).
cnf(c_1645,plain,
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),
inference(clausify,[status(thm)],[cls_conjecture_7]) ).
fof(cls_conjecture_8,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_8) ).
cnf(c_1646,plain,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_8]) ).
fof(cls_conjecture_9,axiom,
c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
file('theBenchmark.p',cls_conjecture_9) ).
cnf(c_1647,plain,
c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(clausify,[status(thm)],[cls_conjecture_9]) ).
cnf(c_6983,plain,
( D = V10
| c_in(F,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V6,V7,c_Message_Omsg_OMPair(V8,c_Message_Omsg_OCrypt(c_Public_OshrK(V9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V11),F))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),F))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolve,[status(thm)],[c_1625,c_1640]) ).
cnf(c_6984,plain,
( v_Aa = E
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(F),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolve,[status(thm)],[c_6983,c_1643]) ).
cnf(c_6985,plain,
( v_Aa = v_A
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_6984,c_1645]) ).
cnf(c_6986,plain,
( v_A = v_Aa
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(copy,[status(thm)],[c_6985]) ).
cnf(c_6928,plain,
v_A = v_Aa,
inference(resolve,[status(thm)],[c_1646,c_6986]) ).
cnf(c_6987,plain,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(paramod,[status(thm)],[c_6928,c_1637]) ).
cnf(c_6982,plain,
$false,
inference(resolve,[status(thm)],[c_1647,c_6987]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV362-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 13:37:21 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 2861327 was started by sandbox2 on n013,
% 0.09/0.36 % Sat Sep 26 13:37:21 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.43
% 0.13/0.43 % From the command line: assign(max_seconds, 300).
% 99.93/14.15
% 99.93/14.15 % given #500 (I,wt=11): 922 c_Relation_OImage(c_Relation_OId,A,B,B) = A # tptp_name(cls_Relation_OImage__Id_0) # clausal_fof(1). [assumption].
% 99.93/14.15
% 99.93/14.15 % SZS status Unsatisfiable for theBenchmark
% 99.93/14.15
% 99.93/14.15 % Proof 1 at 5.14 (+ 0.28) seconds.
% 99.93/14.15 % Length of proof is 9.
% 99.93/14.15 % Level of proof is 2.
% 99.93/14.15 % Maximum clause weight is 72.000.
% 99.93/14.15 % Given clauses 974.
% 99.93/14.15
% 99.93/14.15 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------