%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV306-1 : 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 : n016.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 2.59s 1.16s
% Output : Refutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 12 unt; 1 def)
% Number of atoms : 34 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 10 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 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 : 11 ( 0 sgn 11 !; 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(f1480,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(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_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1562,negated_conjecture,
v_NA = c_Message_Omsg_ONonce(v_NAa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1563,plain,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(reorient_equations,[],[f1562]) ).
fof(f1566,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f1576,definition,
( spl0_2
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1577,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f1580,plain,
~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(forward_demodulation,[],[f1560,f1563]) ).
fof(f1581,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(superposition,[],[f1566,f1563]) ).
fof(f1582,plain,
spl0_2,
inference(avatar_split_clause,[],[f1581,f1576]) ).
fof(f1645,plain,
( c_in(c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f1526,f1577]) ).
fof(f1649,plain,
( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f1645,f1480]) ).
fof(f1662,plain,
( c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f1649,f1481]) ).
fof(f1670,plain,
( c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f1662,f1432]) ).
fof(f1671,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1670,f1580]) ).
fof(f1672,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1671]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f1582]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f1672]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s2,s3]) ).
fof(f1673,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV306-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 % Computer : n016.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Mon Sep 28 10:35:33 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 Running first-order theorem proving
% 0.11/0.24 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
% 2.59/1.16 % (3537588)Input is clausal, will run a generic CNF schedule.
% 2.59/1.16 % (3537724)lrs+10_1_sil=8000:sp=occurrence:random_seed=3858611041:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.59/1.16 % (3537724)First to succeed.
% 2.59/1.16 % (3537724)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3537588"
% 2.59/1.16 % (3537721)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=666027387:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.59/1.16 % (3537723)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4039930946:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.59/1.16 % (3537727)dis-21_1_sil=8000:lcm=predicate:random_seed=908829880: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)
% 2.59/1.16 % (3537726)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3162250754:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.59/1.16 % (3537722)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3225625151:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.59/1.16 % (3537725)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1315358520:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.59/1.16 % (3537727)Also succeeded, but the first one will report.
% 2.59/1.16 % (3537725)Also succeeded, but the first one will report.
% 2.59/1.16 % (3537726)Also succeeded, but the first one will report.
% 2.59/1.16 % (3537724)Refutation found. Thanks to Tanya!
% 2.59/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.59/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.59/1.16 % (3537724)------------------------------
% 2.59/1.16 % (3537724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.16 % (3537724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.16 % (3537724)CaDiCaL version: 2.1.3
% 2.59/1.16 % (3537724)Termination reason: Refutation
% 2.59/1.16 % (3537724)Time elapsed: 0.006 s
% 2.59/1.16 % (3537724)Peak memory usage: 90 MB
% 2.59/1.16 % (3537724)Instructions burned: 14 (million)
% 2.59/1.16 % (3537724)------------------------------
% 2.59/1.16 % (3537724)------------------------------
% 2.59/1.16 % (3537588)Success in time 0.291 s
% 2.59/1.16 % Vampire exiting
%------------------------------------------------------------------------------