%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV338-2 : 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 : n019.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 3.41s 1.16s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 11 unt; 2 def)
% Number of atoms : 56 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 16 ~; 24 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg))),tc_nat)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OkeysFor__parts__insert__dest_0) ).
fof(f3,axiom,
! [X0] :
( ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OinvKey__K_0) ).
fof(f4,axiom,
! [X0,X1] : c_union(X0,X0,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).
fof(f5,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f6,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_2) ).
fof(f7,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f8,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f9,negated_conjecture,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f11,definition,
( spl0_1
<=> c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f12,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| spl0_1 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f15,definition,
( spl0_2
<=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f17,plain,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| spl0_2 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f18,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f9,f15,f11]) ).
fof(f19,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f7,f11]) ).
fof(f20,plain,
v_K = c_Message_OinvKey(v_K),
inference(resolution,[],[f3,f5]) ).
fof(f21,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[],[f2,f8]) ).
fof(f22,plain,
! [X0] :
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_Message_Omsg))),tc_nat)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f21,f20]) ).
fof(f23,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| ~ 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(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(superposition,[],[f22,f4]) ).
fof(f24,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(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f23,f17]) ).
fof(f25,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f24,f6]) ).
fof(f26,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| spl0_2 ),
inference(resolution,[],[f25,f1]) ).
fof(f27,plain,
( $false
| spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f26,f12]) ).
fof(f28,plain,
( spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f27]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f18]) ).
cnf(s2,plain,
~ spl0_1,
inference(sat_conversion,[],[f19]) ).
cnf(s3,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f28]) ).
cnf(s4,plain,
spl0_2,
inference(rat,[],[s3,s2]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s2]) ).
fof(f29,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV338-2 : 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 : n019.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 10:39:19 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 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
% 3.41/1.16 % (3920815)Input is clausal, will run a generic CNF schedule.
% 3.41/1.16 % (3920860)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3084486395:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.41/1.16 % (3920865)dis-21_1_sil=8000:lcm=predicate:random_seed=1117870653: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)
% 3.41/1.16 % (3920865)Refutation not found, incomplete strategy
% 3.41/1.16 % (3920865)------------------------------
% 3.41/1.16 % (3920865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.16 % (3920865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.16 % (3920865)CaDiCaL version: 2.1.3
% 3.41/1.16 % (3920865)Termination reason: Refutation not found, incomplete strategy
% 3.41/1.16 % (3920865)Time elapsed: 0.001 s
% 3.41/1.16 % (3920865)Peak memory usage: 88 MB
% 3.41/1.16 % (3920862)lrs+10_1_sil=8000:sp=occurrence:random_seed=2604658838:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.41/1.16 % (3920861)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3542865032:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.41/1.16 % (3920863)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=940722315:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.41/1.16 % (3920859)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=1971644849:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.41/1.16 % (3920864)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=384737347:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.41/1.16 % (3920862)First to succeed.
% 3.41/1.16 % (3920863)Also succeeded, but the first one will report.
% 3.41/1.16 % (3920864)Also succeeded, but the first one will report.
% 3.41/1.16 % (3920862)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3920815"
% 3.41/1.16 % (3920865)------------------------------
% 3.41/1.16 % (3920865)------------------------------
% 3.41/1.16 % (3920862)Refutation found. Thanks to Tanya!
% 3.41/1.16 % SZS status Unsatisfiable for theBenchmark
% 3.41/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 3.41/1.16 % (3920862)------------------------------
% 3.41/1.16 % (3920862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.16 % (3920862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.16 % (3920862)CaDiCaL version: 2.1.3
% 3.41/1.16 % (3920862)Termination reason: Refutation
% 3.41/1.16 % (3920862)Time elapsed: 0.002 s
% 3.41/1.16 % (3920862)Peak memory usage: 89 MB
% 3.41/1.16 % (3920862)Instructions burned: 2 (million)
% 3.41/1.16 % (3920862)------------------------------
% 3.41/1.16 % (3920862)------------------------------
% 3.41/1.16 % (3920815)Success in time 0.406 s
% 3.41/1.16 % Vampire exiting
%------------------------------------------------------------------------------