%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV358-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:09:00 PM UTC 2026
% Result : Unsatisfiable 3.49s 1.08s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 22 ( 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 : 20 ( 20 usr; 9 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
fof(f3602,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3606,negated_conjecture,
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_evs2,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f3620,plain,
c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(resolution,[],[f3606,f3558]) ).
fof(f3634,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_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(resolution,[],[f3620,f3444]) ).
fof(f3640,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_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(resolution,[],[f3634,f3465]) ).
fof(f3652,plain,
c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(resolution,[],[f3640,f3560]) ).
fof(f3667,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(resolution,[],[f3652,f3310]) ).
fof(f3673,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(resolution,[],[f3667,f3310]) ).
fof(f3676,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(resolution,[],[f3673,f3375]) ).
fof(f3677,plain,
$false,
inference(forward_subsumption_resolution,[],[f3676,f3602]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV358-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 10:44:55 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.49/1.08 % (3297218)Input is clausal, will run a generic CNF schedule.
% 3.49/1.08 % (3297228)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2024802509:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.49/1.08 % (3297227)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1476609094:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.49/1.08 % (3297226)lrs+10_1_sil=8000:sp=occurrence:random_seed=2962683590:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.49/1.08 % (3297224)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3112572165:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.49/1.08 % (3297223)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=10101592:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.49/1.08 % (3297229)dis-21_1_sil=8000:lcm=predicate:random_seed=145246960: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)
% 3.49/1.08 % (3297225)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4111154220:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.49/1.08 % (3297228)Instruction limit reached!
% 3.49/1.08 % (3297228)------------------------------
% 3.49/1.08 % (3297228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.08 % (3297228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.08 % (3297228)CaDiCaL version: 2.1.3
% 3.49/1.08 % (3297228)Termination reason: Instruction limit
% 3.49/1.08 % (3297228)Termination phase: Saturation
% 3.49/1.08 % (3297228)Time elapsed: 0.058 s
% 3.49/1.08 % (3297228)Peak memory usage: 92 MB
% 3.49/1.08 % (3297228)Instructions burned: 182 (million)
% 3.49/1.08 % (3297227)Instruction limit reached!
% 3.49/1.08 % (3297227)------------------------------
% 3.49/1.08 % (3297227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.08 % (3297227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.08 % (3297227)CaDiCaL version: 2.1.3
% 3.49/1.08 % (3297227)Termination reason: Instruction limit
% 3.49/1.08 % (3297227)Termination phase: Saturation
% 3.49/1.08 % (3297227)Time elapsed: 0.071 s
% 3.49/1.08 % (3297227)Peak memory usage: 91 MB
% 3.49/1.08 % (3297227)Instructions burned: 114 (million)
% 3.49/1.08 % (3297229)Instruction limit reached!
% 3.49/1.08 % (3297229)------------------------------
% 3.49/1.08 % (3297229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.08 % (3297229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.08 % (3297229)CaDiCaL version: 2.1.3
% 3.49/1.08 % (3297229)Termination reason: Instruction limit
% 3.49/1.08 % (3297229)Termination phase: Saturation
% 3.49/1.08 % (3297229)Time elapsed: 0.065 s
% 3.49/1.08 % (3297229)Peak memory usage: 91 MB
% 3.49/1.08 % (3297229)Instructions burned: 118 (million)
% 3.49/1.08 % (3297226)Instruction limit reached!
% 3.49/1.08 % (3297226)------------------------------
% 3.49/1.08 % (3297226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.08 % (3297226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.08 % (3297226)CaDiCaL version: 2.1.3
% 3.49/1.08 % (3297226)Termination reason: Instruction limit
% 3.49/1.08 % (3297226)Termination phase: Saturation
% 3.49/1.08 % (3297226)Time elapsed: 0.072 s
% 3.49/1.08 % (3297226)Peak memory usage: 91 MB
% 3.49/1.08 % (3297226)Instructions burned: 108 (million)
% 3.49/1.08 % (3297237)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=3615682097:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.49/1.08 % (3297237)First to succeed.
% 3.49/1.08 % (3297237)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3297218"
% 3.49/1.08 % (3297239)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2556920256:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.49/1.08 % (3297238)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3207212985:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.49/1.08 % (3297240)lrs+10_64_to=lpo:sil=8000:random_seed=3577199983:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.49/1.08 % (3297239)Refutation not found, incomplete strategy
% 3.49/1.08 % (3297239)------------------------------
% 3.49/1.08 % (3297239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.08 % (3297239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.08 % (3297239)CaDiCaL version: 2.1.3
% 3.49/1.08 % (3297239)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.08 % (3297239)Time elapsed: 0.045 s
% 3.49/1.08 % (3297239)Peak memory usage: 91 MB
% 3.49/1.08 % (3297239)Instructions burned: 73 (million)
% 3.49/1.08 % (3297240)Instruction limit reached!
% 3.49/1.08 % (3297240)------------------------------
% 3.49/1.08 % (3297240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.08 % (3297240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.08 % (3297240)CaDiCaL version: 2.1.3
% 3.49/1.08 % (3297240)Termination reason: Instruction limit
% 3.49/1.08 % (3297240)Termination phase: Saturation
% 3.49/1.08 % (3297240)Time elapsed: 0.072 s
% 3.49/1.08 % (3297240)Peak memory usage: 92 MB
% 3.49/1.08 % (3297240)Instructions burned: 127 (million)
% 3.49/1.08 % (3297237)Refutation found. Thanks to Tanya!
% 3.49/1.08 % SZS status Unsatisfiable for theBenchmark
% 3.49/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.08 % (3297237)------------------------------
% 3.49/1.08 % (3297237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.08 % (3297237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.08 % (3297237)CaDiCaL version: 2.1.3
% 3.49/1.08 % (3297237)Termination reason: Refutation
% 3.49/1.08 % (3297237)Time elapsed: 0.012 s
% 3.49/1.08 % (3297237)Peak memory usage: 91 MB
% 3.49/1.08 % (3297237)Instructions burned: 30 (million)
% 3.49/1.08 % (3297237)------------------------------
% 3.49/1.08 % (3297237)------------------------------
% 3.49/1.08 % (3297218)Success in time 0.463 s
% 3.49/1.08 % Vampire exiting
%------------------------------------------------------------------------------