%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV307-1 : 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 : 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 01:08:46 PM UTC 2026
% Result : Unsatisfiable 3.54s 1.28s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 13 unt; 1 def)
% Number of atoms : 31 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 8 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1432,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(f1481,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f1526,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(f1560,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_2) ).
fof(f1562,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1564,negated_conjecture,
v_NA = c_Message_Omsg_ONonce(v_NB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f1565,plain,
c_Message_Omsg_ONonce(v_NB) = v_NA,
inference(reorient_equations,[],[f1564]) ).
fof(f1567,negated_conjecture,
v_A = v_Ba,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f1570,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(definition_unfolding,[],[f1562,f1567,f1567]) ).
fof(f1573,definition,
( spl0_1
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1574,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f1581,plain,
spl0_1,
inference(avatar_split_clause,[],[f1570,f1573]) ).
fof(f1582,plain,
~ c_in(v_NA,c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(forward_demodulation,[],[f1560,f1565]) ).
fof(f1664,plain,
( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OAgent(v_B))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f1526,f1574]) ).
fof(f1666,plain,
( c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f1664,f1481]) ).
fof(f1673,plain,
( c_in(v_NA,c_Event_Oused(v_evs2),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f1666,f1432]) ).
fof(f1674,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1673,f1582]) ).
fof(f1675,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1674]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f1581]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f1675]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s4]) ).
fof(f1676,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV307-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.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
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 10:33:37 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.54/1.28 % (263362)Input is clausal, will run a generic CNF schedule.
% 3.54/1.28 % (263369)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=530103006:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.54/1.28 % (263372)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=730920640:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.54/1.28 % (263370)lrs+10_1_sil=8000:sp=occurrence:random_seed=887731314:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.54/1.28 % (263368)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4047561398:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.54/1.28 % (263371)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3717921261:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.54/1.28 % (263367)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=4248608043:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.54/1.28 % (263370)First to succeed.
% 3.54/1.28 % (263370)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-263362"
% 3.54/1.28 % (263373)dis-21_1_sil=8000:lcm=predicate:random_seed=843438312: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)
% 3.54/1.28 % (263371)Also succeeded, but the first one will report.
% 3.54/1.28 % (263372)Also succeeded, but the first one will report.
% 3.54/1.28 % (263373)Instruction limit reached!
% 3.54/1.28 % (263373)------------------------------
% 3.54/1.28 % (263373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.28 % (263373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.28 % (263373)CaDiCaL version: 2.1.3
% 3.54/1.28 % (263373)Termination reason: Instruction limit
% 3.54/1.28 % (263373)Termination phase: Saturation
% 3.54/1.28 % (263373)Time elapsed: 0.070 s
% 3.54/1.28 % (263373)Peak memory usage: 89 MB
% 3.54/1.28 % (263373)Instructions burned: 118 (million)
% 3.54/1.28 % (263381)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=2906584258:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.54/1.28 % (263381)Also succeeded, but the first one will report.
% 3.54/1.28 % (263370)Refutation found. Thanks to Tanya!
% 3.54/1.28 % SZS status Unsatisfiable for theBenchmark
% 3.54/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.28 % (263370)------------------------------
% 3.54/1.28 % (263370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.28 % (263370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.28 % (263370)CaDiCaL version: 2.1.3
% 3.54/1.28 % (263370)Termination reason: Refutation
% 3.54/1.28 % (263370)Time elapsed: 0.010 s
% 3.54/1.28 % (263370)Peak memory usage: 90 MB
% 3.54/1.28 % (263370)Instructions burned: 14 (million)
% 3.54/1.28 % (263370)------------------------------
% 3.54/1.28 % (263370)------------------------------
% 3.54/1.28 % (263362)Success in time 0.442 s
% 3.54/1.28 % Vampire exiting
%------------------------------------------------------------------------------