%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV360-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Sun Sep 27 09:07:32 AM UTC 2026
% Result : Unsatisfiable 42.94s 6.58s
% Output : CNFRefutation 42.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 15 unt; 0 def)
% Number of atoms : 34 ( 6 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 27 ( 13 ~; 14 |; 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_2,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_3 = VAR_10
| 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_2) ).
cnf(c_4109,plain,
( D = V10
| 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_2]) ).
fof(cls_conjecture_1,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_4121,plain,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
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_4123,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_4126,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_4128,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_4129,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_Ba,c_Event_Obad,tc_Message_Oagent),
file('theBenchmark.p',cls_conjecture_9) ).
cnf(c_4130,plain,
c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
inference(clausify,[status(thm)],[cls_conjecture_9]) ).
cnf(c_16660,plain,
( C = V9
| 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_4109,c_4123]) ).
cnf(c_16661,plain,
( v_Ba = D
| 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_16660,c_4126]) ).
cnf(c_16662,plain,
( v_Ba = v_B
| 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_16661,c_4128]) ).
cnf(c_16652,plain,
v_Ba = v_B,
inference(resolve,[status(thm)],[c_4129,c_16662]) ).
cnf(c_16663,plain,
c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(paramod,[status(thm)],[c_16652,c_4130]) ).
cnf(c_16659,plain,
$false,
inference(resolve,[status(thm)],[c_4121,c_16663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV360-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 26 13:38:06 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.29 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.03/0.29 % Process 746585 was started by sandbox on n012,
% 0.03/0.29 % Sat Sep 26 13:38:06 2026
% 0.03/0.29 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.33
% 0.09/0.33 % From the command line: assign(max_seconds, 300).
% 42.94/6.58
% 42.94/6.58 % given #500 (I,wt=26): 914 -class_Ring__and__Field_Osemiring__1(A) | -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A). [resolve(54,b,50,a)].
% 42.94/6.58
% 42.94/6.58 % given #1000 (I,wt=7): 1449 class_LOrder_Olorder(tc_IntDef_Oint) # tptp_name(clsarity_IntDef__Oint_34) # clausal_fof(1). [assumption].
% 42.94/6.58
% 42.94/6.58 % given #1500 (I,wt=9): 1949 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Oab__group__add(A) # tptp_name(clsrel_Ring__and__Field_Opordered__ring_1) # clausal_fof(1). [assumption].
% 42.94/6.58
% 42.94/6.58 % given #2000 (I,wt=24): 2693 c_List_Orev(A,B) != c_List_Olist_OCons(C,c_List_Olist_ONil,B) | c_List_Olist_OCons(C,c_List_Olist_ONil,B) = A. [copy(2692),flip(b)].
% 42.94/6.58
% 42.94/6.58 % given #2500 (I,wt=32): 3386 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__semidom(A) | -c_less(c_1,B,A) | -c_less(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | c_less(C,D,tc_nat) # tptp_name(cls_Power_Opower__strict__increasing__iff_0) # clausal_fof(1). [assumption].
% 42.94/6.58
% 42.94/6.58 % given #3000 (I,wt=28): 4095 -c_Yahalom_OKeyWithNonce(A,B,c_List_Olist_OCons(c_Event_Oevent_ONotes(C,D),E,tc_Event_Oevent)) | c_Yahalom_OKeyWithNonce(A,B,E) # tptp_name(cls_Yahalom_OKeyWithNonce__Notes_0) # clausal_fof(1). [assumption].
% 42.94/6.58
% 42.94/6.58 % SZS status Unsatisfiable for theBenchmark
% 42.94/6.58
% 42.94/6.58 % Proof 1 at 5.65 (+ 0.45) seconds.
% 42.94/6.58 % Length of proof is 9.
% 42.94/6.58 % Level of proof is 2.
% 42.94/6.58 % Maximum clause weight is 99.000.
% 42.94/6.58 % Given clauses 3030.
% 42.94/6.58
% 42.94/6.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------