%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV317-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:08:49 PM UTC 2026
% Result : Unsatisfiable 3.56s 1.25s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 9 unt; 2 def)
% Number of atoms : 27 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 7 |; 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(f3551,axiom,
! [X0,X1] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oused(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).
fof(f3564,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3566,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3571,negated_conjecture,
( c_Public_OshrK(v_A) = v_KAB
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f3572,plain,
( v_KAB = c_Public_OshrK(v_A)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(reorient_equations,[],[f3571]) ).
fof(f3644,definition,
( spl0_1
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f3648,definition,
( spl0_2
<=> v_KAB = c_Public_OshrK(v_A) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f3650,plain,
( v_KAB = c_Public_OshrK(v_A)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f3648]) ).
fof(f3651,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f3572,f3648,f3644]) ).
fof(f3659,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f3566,f3644]) ).
fof(f3694,plain,
( ! [X0] : c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(X0),tc_Message_Omsg)
| ~ spl0_2 ),
inference(superposition,[],[f3551,f3650]) ).
fof(f3695,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f3694,f3564]) ).
fof(f3696,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f3695]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f3651]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f3659]) ).
cnf(s6,plain,
~ spl0_2,
inference(sat_conversion,[],[f3696]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s6,s5]) ).
fof(f3697,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV317-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n010.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 10:34:03 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.56/1.25 % (1837402)Input is clausal, will run a generic CNF schedule.
% 3.56/1.25 % (1837407)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=3786427537:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.56/1.25 % (1837410)lrs+10_1_sil=8000:sp=occurrence:random_seed=1552632399:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.56/1.25 % (1837412)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4205537794:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.56/1.25 % (1837409)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2757418252:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.56/1.25 % (1837408)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3463960252:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.56/1.25 % (1837411)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1752585892:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.56/1.25 % (1837413)dis-21_1_sil=8000:lcm=predicate:random_seed=3380788724: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)
% 3.56/1.25 % (1837410)First to succeed.
% 3.56/1.25 % (1837410)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1837402"
% 3.56/1.25 % (1837412)Also succeeded, but the first one will report.
% 3.56/1.25 % (1837411)Also succeeded, but the first one will report.
% 3.56/1.25 % (1837413)Instruction limit reached!
% 3.56/1.25 % (1837413)------------------------------
% 3.56/1.25 % (1837413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.25 % (1837413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.25 % (1837413)CaDiCaL version: 2.1.3
% 3.56/1.25 % (1837413)Termination reason: Instruction limit
% 3.56/1.25 % (1837413)Termination phase: Saturation
% 3.56/1.25 % (1837413)Time elapsed: 0.065 s
% 3.56/1.25 % (1837413)Peak memory usage: 91 MB
% 3.56/1.25 % (1837413)Instructions burned: 118 (million)
% 3.56/1.25 % (1837421)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=1055634582:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.56/1.25 % (1837421)Also succeeded, but the first one will report.
% 3.56/1.25 % (1837410)Refutation found. Thanks to Tanya!
% 3.56/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.56/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.25 % (1837410)------------------------------
% 3.56/1.25 % (1837410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.25 % (1837410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.25 % (1837410)CaDiCaL version: 2.1.3
% 3.56/1.25 % (1837410)Termination reason: Refutation
% 3.56/1.25 % (1837410)Time elapsed: 0.022 s
% 3.56/1.25 % (1837410)Peak memory usage: 91 MB
% 3.56/1.25 % (1837410)Instructions burned: 33 (million)
% 3.56/1.25 % (1837410)------------------------------
% 3.56/1.25 % (1837410)------------------------------
% 3.56/1.25 % (1837402)Success in time 0.496 s
% 3.56/1.25 % Vampire exiting
%------------------------------------------------------------------------------