%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV721-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 : Tue Sep 29 01:19:20 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.20s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-3 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f443,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
fof(f449,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
fof(f453,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
fof(f456,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X1,X0))
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f457,axiom,
! [X2,X0,X1] :
( hBOOL(hAPP(X0,X1))
| ~ c_in(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f463,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f464,negated_conjecture,
~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f706,plain,
! [X2,X3,X0,X1] :
( c_in(X0,X1,X3)
| ~ c_in(X0,X1,X2) ),
inference(resolution,[],[f457,f456]) ).
fof(f763,plain,
! [X0] : ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0),
inference(resolution,[],[f706,f464]) ).
fof(f2116,plain,
c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(resolution,[],[f449,f463]) ).
fof(f2119,plain,
c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(resolution,[],[f2116,f453]) ).
fof(f2122,plain,
c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(resolution,[],[f2119,f443]) ).
fof(f2126,plain,
c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(resolution,[],[f2122,f443]) ).
fof(f2130,plain,
c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(resolution,[],[f2126,f443]) ).
fof(f2134,plain,
$false,
inference(resolution,[],[f2130,f763]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV721-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n002.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 12:24:07 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/1.20 % (320072)Input is clausal, will run a generic CNF schedule.
% 0.19/1.20 % (320077)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=331151620:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.20 % (320079)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3896483424:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.20 % (320081)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3522593300:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.20 % (320082)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2813033237:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.20 % (320078)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3236392116:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.20 % (320080)lrs+10_1_sil=8000:sp=occurrence:random_seed=185247998:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.20 % (320083)dis-21_1_sil=8000:lcm=predicate:random_seed=2928028969:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.19/1.20 % (320083)First to succeed.
% 0.19/1.20 % (320083)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-320072"
% 0.19/1.20 % (320080)Also succeeded, but the first one will report.
% 0.19/1.20 % (320081)Instruction limit reached!
% 0.19/1.20 % (320081)------------------------------
% 0.19/1.20 % (320081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20 % (320081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20 % (320081)CaDiCaL version: 2.1.3
% 0.19/1.20 % (320081)Termination reason: Instruction limit
% 0.19/1.20 % (320081)Termination phase: Saturation
% 0.19/1.20 % (320081)Time elapsed: 0.075 s
% 0.19/1.20 % (320081)Peak memory usage: 88 MB
% 0.19/1.20 % (320081)Instructions burned: 114 (million)
% 0.19/1.20 % (320082)Also succeeded, but the first one will report.
% 0.19/1.20 % (320091)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=179009969:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.19/1.20 % (320091)Also succeeded, but the first one will report.
% 0.19/1.20 % (320083)Refutation found. Thanks to Tanya!
% 0.19/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.20 % (320083)------------------------------
% 0.19/1.20 % (320083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20 % (320083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20 % (320083)CaDiCaL version: 2.1.3
% 0.19/1.20 % (320083)Termination reason: Refutation
% 0.19/1.20 % (320083)Time elapsed: 0.032 s
% 0.19/1.20 % (320083)Peak memory usage: 89 MB
% 0.19/1.20 % (320083)Instructions burned: 53 (million)
% 0.19/1.20 % (320083)------------------------------
% 0.19/1.20 % (320083)------------------------------
% 0.19/1.20 % (320072)Success in time 0.463 s
% 0.19/1.20 % Vampire exiting
%------------------------------------------------------------------------------