%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV342-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:08:55 PM UTC 2026
% Result : Unsatisfiable 4.14s 1.49s
% Output : Refutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-3 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3310,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f3375,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
fof(f3444,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f3465,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).
fof(f3558,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
fof(f3560,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
fof(f3579,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3585,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f3675,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[],[f3585,f3558]) ).
fof(f3881,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[],[f3675,f3444]) ).
fof(f3884,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[],[f3881,f3465]) ).
fof(f3924,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[],[f3884,f3560]) ).
fof(f3926,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[],[f3924,f3310]) ).
fof(f3945,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(resolution,[],[f3926,f3375]) ).
fof(f3946,plain,
$false,
inference(forward_subsumption_resolution,[],[f3945,f3579]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV342-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 % Computer : n010.cluster.edu
% 0.08/0.25 % Model : x86_64 x86_64
% 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25 % Memory : 8046.5625MB
% 0.08/0.25 % OS : Linux 6.8.0-71-generic
% 0.08/0.25 % CPULimit : 300
% 0.08/0.25 % WCLimit : 300
% 0.08/0.25 % DateTime : Mon Sep 28 10:40:02 UTC 2026
% 0.08/0.25 % CPUTime :
% 0.08/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.29 Running first-order theorem proving
% 0.19/0.29 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.14/1.49 % (1840131)Input is clausal, will run a generic CNF schedule.
% 4.14/1.49 % (1840140)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=968937269:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.14/1.49 % (1840138)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1995116440:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.14/1.49 % (1840139)lrs+10_1_sil=8000:sp=occurrence:random_seed=1458831768:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.14/1.49 % (1840137)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2802425466:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.14/1.49 % (1840136)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=3260693217:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.14/1.49 % (1840142)dis-21_1_sil=8000:lcm=predicate:random_seed=2551290462: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)
% 4.14/1.49 % (1840141)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3116769864:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.14/1.49 % (1840140)Instruction limit reached!
% 4.14/1.49 % (1840140)------------------------------
% 4.14/1.49 % (1840140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.49 % (1840140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.49 % (1840140)CaDiCaL version: 2.1.3
% 4.14/1.49 % (1840140)Termination reason: Instruction limit
% 4.14/1.49 % (1840140)Termination phase: Saturation
% 4.14/1.49 % (1840140)Time elapsed: 0.040 s
% 4.14/1.49 % (1840140)Peak memory usage: 91 MB
% 4.14/1.49 % (1840140)Instructions burned: 116 (million)
% 4.14/1.49 % (1840139)Instruction limit reached!
% 4.14/1.49 % (1840139)------------------------------
% 4.14/1.49 % (1840139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.49 % (1840139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.49 % (1840139)CaDiCaL version: 2.1.3
% 4.14/1.49 % (1840139)Termination reason: Instruction limit
% 4.14/1.49 % (1840139)Termination phase: Saturation
% 4.14/1.49 % (1840139)Time elapsed: 0.071 s
% 4.14/1.49 % (1840139)Peak memory usage: 91 MB
% 4.14/1.49 % (1840139)Instructions burned: 107 (million)
% 4.14/1.49 % (1840142)Instruction limit reached!
% 4.14/1.49 % (1840142)------------------------------
% 4.14/1.49 % (1840142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.49 % (1840142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.49 % (1840142)CaDiCaL version: 2.1.3
% 4.14/1.49 % (1840142)Termination reason: Instruction limit
% 4.14/1.49 % (1840142)Termination phase: Saturation
% 4.14/1.49 % (1840142)Time elapsed: 0.065 s
% 4.14/1.49 % (1840142)Peak memory usage: 91 MB
% 4.14/1.49 % (1840142)Instructions burned: 118 (million)
% 4.14/1.49 % (1840141)Instruction limit reached!
% 4.14/1.49 % (1840141)------------------------------
% 4.14/1.49 % (1840141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.49 % (1840141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.49 % (1840141)CaDiCaL version: 2.1.3
% 4.14/1.49 % (1840141)Termination reason: Instruction limit
% 4.14/1.49 % (1840141)Termination phase: Saturation
% 4.14/1.49 % (1840141)Time elapsed: 0.120 s
% 4.14/1.49 % (1840141)Peak memory usage: 92 MB
% 4.14/1.49 % (1840141)Instructions burned: 181 (million)
% 4.14/1.49 % (1840150)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=2595254490:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.14/1.49 % (1840150)First to succeed.
% 4.14/1.49 % (1840150)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1840131"
% 4.14/1.49 % (1840152)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=147321168:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 4.14/1.49 % (1840151)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2712916060:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 4.14/1.49 % (1840153)lrs+10_64_to=lpo:sil=8000:random_seed=1066713859:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.14/1.49 % (1840150)Refutation found. Thanks to Tanya!
% 4.14/1.49 % SZS status Unsatisfiable for theBenchmark
% 4.14/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 4.14/1.49 % (1840150)------------------------------
% 4.14/1.49 % (1840150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.49 % (1840150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.49 % (1840150)CaDiCaL version: 2.1.3
% 4.14/1.49 % (1840150)Termination reason: Refutation
% 4.14/1.49 % (1840150)Time elapsed: 0.018 s
% 4.14/1.49 % (1840150)Peak memory usage: 91 MB
% 4.14/1.49 % (1840150)Instructions burned: 47 (million)
% 4.14/1.49 % (1840150)------------------------------
% 4.14/1.49 % (1840150)------------------------------
% 4.14/1.49 % (1840131)Success in time 0.567 s
% 4.14/1.49 % Vampire exiting
%------------------------------------------------------------------------------