%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV321-1 : 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 01:08:50 PM UTC 2026
% Result : Unsatisfiable 3.87s 1.36s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 43 ( 5 unt; 3 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 87 ( 38 ~; 46 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1395,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f1404,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_insert(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f1472,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).
fof(f1512,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f1523,axiom,
! [X2,X0,X1] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
fof(f1525,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f1532,axiom,
! [X0,X1] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
fof(f1558,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1559,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1561,negated_conjecture,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1562,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1564,definition,
( spl0_1
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1565,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f1567,definition,
( spl0_2
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1568,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1567]) ).
fof(f1569,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1562,f1567,f1564]) ).
fof(f1570,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| spl0_2 ),
inference(avatar_component_clause,[],[f1567]) ).
fof(f1572,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1561,f1564,f1567]) ).
fof(f1574,definition,
( spl0_3
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1577,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| spl0_3 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1578,plain,
( ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f1559,f1564,f1574]) ).
fof(f1861,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| spl0_3 ),
inference(resolution,[],[f1525,f1577]) ).
fof(f2374,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(resolution,[],[f1523,f1395]) ).
fof(f2852,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f2374,f1568]) ).
fof(f2858,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f2852,f1558]) ).
fof(f2866,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| ~ spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f2858,f1577]) ).
fof(f2867,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ spl0_2
| spl0_3 ),
inference(resolution,[],[f2866,f1472]) ).
fof(f2868,plain,
( $false
| ~ spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f2867,f1861]) ).
fof(f2869,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f2868]) ).
fof(f2871,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),tc_Message_Omsg)
| spl0_2 ),
inference(resolution,[],[f1570,f1512]) ).
fof(f2875,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)
| spl0_2 ),
inference(resolution,[],[f2871,f1404]) ).
fof(f2883,plain,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| spl0_2 ),
inference(resolution,[],[f2875,f1532]) ).
fof(f2884,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f2883,f1565]) ).
fof(f2885,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f2884]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f1569]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1572]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f1578]) ).
cnf(s6,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f2869]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f2885]) ).
cnf(s8,plain,
spl0_1,
inference(rat,[],[s6,s1,s4]) ).
cnf(s9,plain,
spl0_2,
inference(rat,[],[s7,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s2,s9,s8]) ).
fof(f2886,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV321-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n018.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 10:36:40 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 3.50/1.16 % (3290677)Input is clausal, will run a generic CNF schedule.
% 3.50/1.16 % (3290686)lrs+10_1_sil=8000:sp=occurrence:random_seed=2631373619:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.50/1.16 % (3290686)Instruction limit reached!
% 3.50/1.16 % (3290686)------------------------------
% 3.50/1.16 % (3290686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.16 % (3290686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.16 % (3290686)CaDiCaL version: 2.1.3
% 3.50/1.16 % (3290686)Termination reason: Instruction limit
% 3.50/1.16 % (3290686)Termination phase: Saturation
% 3.50/1.16 % (3290686)Time elapsed: 0.035 s
% 3.50/1.16 % (3290686)Peak memory usage: 90 MB
% 3.50/1.16 % (3290686)Instructions burned: 110 (million)
% 3.50/1.16 % (3290685)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=713544285:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.50/1.16 % (3290683)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=3240390542:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.50/1.16 % (3290688)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2867143524:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.50/1.16 % (3290684)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=617110723:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.50/1.16 % (3290687)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2971345645:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.50/1.16 % (3290689)dis-21_1_sil=8000:lcm=predicate:random_seed=829303542: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)
% 3.50/1.16 % (3290687)First to succeed.
% 3.50/1.16 % (3290687)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3290677"
% 3.50/1.16 % (3290689)Instruction limit reached!
% 3.50/1.16 % (3290689)------------------------------
% 3.50/1.16 % (3290689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.16 % (3290689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.16 % (3290689)CaDiCaL version: 2.1.3
% 3.50/1.16 % (3290689)Termination reason: Instruction limit
% 3.50/1.16 % (3290689)Termination phase: Saturation
% 3.50/1.16 % (3290689)Time elapsed: 0.070 s
% 3.50/1.16 % (3290689)Peak memory usage: 89 MB
% 3.50/1.16 % (3290689)Instructions burned: 118 (million)
% 3.50/1.16 % (3290691)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=3761158353:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.50/1.16 % (3290691)Refutation not found, incomplete strategy
% 3.50/1.16 % (3290691)------------------------------
% 3.50/1.16 % (3290691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.16 % (3290691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.16 % (3290691)CaDiCaL version: 2.1.3
% 3.50/1.16 % (3290691)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.16 % (3290691)Time elapsed: 0.003 s
% 3.50/1.16 % (3290691)Peak memory usage: 89 MB
% 3.50/1.16 % (3290691)Instructions burned: 9 (million)
% 3.50/1.16 % (3290688)Instruction limit reached!
% 3.50/1.16 % (3290688)------------------------------
% 3.50/1.16 % (3290688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.16 % (3290688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.16 % (3290688)CaDiCaL version: 2.1.3
% 3.50/1.16 % (3290688)Termination reason: Instruction limit
% 3.50/1.16 % (3290688)Termination phase: Saturation
% 3.50/1.16 % (3290688)Time elapsed: 0.125 s
% 3.50/1.16 % (3290688)Peak memory usage: 90 MB
% 3.50/1.16 % (3290688)Instructions burned: 180 (million)
% 3.50/1.16 % (3290698)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1352187978: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)
% 3.50/1.16 % (3290691)------------------------------
% 3.50/1.16 % (3290691)------------------------------
% 3.50/1.16 % (3290700)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3874151200:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.87/1.36 % (3290700)Refutation not found, incomplete strategy
% 3.87/1.36 % (3290700)------------------------------
% 3.87/1.36 % (3290700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.36 % (3290700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.36 % (3290700)CaDiCaL version: 2.1.3
% 3.87/1.36 % (3290700)Termination reason: Refutation not found, incomplete strategy
% 3.87/1.36 % (3290700)Time elapsed: 0.011 s
% 3.87/1.36 % (3290700)Peak memory usage: 89 MB
% 3.87/1.36 % (3290700)Instructions burned: 16 (million)
% 3.87/1.36 % (3290698)Also succeeded, but the first one will report.
% 3.87/1.36 % (3290687)Refutation found. Thanks to Tanya!
% 3.87/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.87/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.87/1.36 % (3290687)------------------------------
% 3.87/1.36 % (3290687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.36 % (3290687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.36 % (3290687)CaDiCaL version: 2.1.3
% 3.87/1.36 % (3290687)Termination reason: Refutation
% 3.87/1.36 % (3290687)Time elapsed: 0.044 s
% 3.87/1.36 % (3290687)Peak memory usage: 90 MB
% 3.87/1.36 % (3290687)Instructions burned: 64 (million)
% 3.87/1.36 % (3290687)------------------------------
% 3.87/1.36 % (3290687)------------------------------
% 3.87/1.36 % (3290677)Success in time 0.488 s
% 3.87/1.36 % Vampire exiting
%------------------------------------------------------------------------------