%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV322-2 : 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 : n020.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 2.51s 1.07s
% Output : Refutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 9 unt; 2 def)
% Number of atoms : 31 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3,negated_conjecture,
( c_Public_OshrK(v_A) = v_KAB
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f4,plain,
( v_KAB = c_Public_OshrK(v_A)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oused(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).
fof(f7,definition,
( spl0_1
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f8,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f7]) ).
fof(f10,definition,
( spl0_2
<=> v_KAB = c_Public_OshrK(v_A) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f11,plain,
( v_KAB = c_Public_OshrK(v_A)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f12,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f10,f7]) ).
fof(f13,plain,
( ! [X0] : c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(X0),tc_Message_Omsg)
| ~ spl0_2 ),
inference(superposition,[],[f5,f11]) ).
fof(f14,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f13,f1]) ).
fof(f15,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f14]) ).
fof(f16,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f8,f2]) ).
fof(f17,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f16]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f12]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f15]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f17]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f18,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV322-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 10:35:50 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 2.51/1.07 % (85819)Input is clausal, will run a generic CNF schedule.
% 2.51/1.07 % (85828)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4025098765:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.51/1.07 % (85828)First to succeed.
% 2.51/1.07 % (85828)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-85819"
% 2.51/1.07 % (85829)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1834954699:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.51/1.07 % (85825)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4257035569:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.51/1.07 % (85827)lrs+10_1_sil=8000:sp=occurrence:random_seed=2245092856:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.51/1.07 % (85826)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=481182547:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.51/1.07 % (85824)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=3724076115:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.51/1.07 % (85827)Also succeeded, but the first one will report.
% 2.51/1.07 % (85829)Also succeeded, but the first one will report.
% 2.51/1.07 % (85830)dis-21_1_sil=8000:lcm=predicate:random_seed=2256185604: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)
% 2.51/1.07 % (85830)Refutation not found, incomplete strategy
% 2.51/1.07 % (85830)------------------------------
% 2.51/1.07 % (85830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/1.07 % (85830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/1.07 % (85830)CaDiCaL version: 2.1.3
% 2.51/1.07 % (85830)Termination reason: Refutation not found, incomplete strategy
% 2.51/1.07 % (85830)Time elapsed: 0.001 s
% 2.51/1.07 % (85830)Peak memory usage: 88 MB
% 2.51/1.07 % (85828)Refutation found. Thanks to Tanya!
% 2.51/1.07 % SZS status Unsatisfiable for theBenchmark
% 2.51/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 2.51/1.07 % (85828)------------------------------
% 2.51/1.07 % (85828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/1.07 % (85828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/1.07 % (85828)CaDiCaL version: 2.1.3
% 2.51/1.07 % (85828)Termination reason: Refutation
% 2.51/1.07 % (85828)Time elapsed: 0.001 s
% 2.51/1.07 % (85828)Peak memory usage: 89 MB
% 2.51/1.07 % (85828)Instructions burned: 1 (million)
% 2.51/1.07 % (85828)------------------------------
% 2.51/1.07 % (85828)------------------------------
% 2.51/1.07 % (85819)Success in time 0.271 s
% 2.51/1.07 % Vampire exiting
%------------------------------------------------------------------------------