%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV339-1 : 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 : n011.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 3.78s 1.38s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 8 unt; 3 def)
% Number of atoms : 44 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 16 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 4 !; 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/sandbox2/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).
fof(f3573,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f3575,negated_conjecture,
( v_K = c_Public_OshrK(v_B)
| v_K = c_Public_OshrK(v_A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f3616,definition,
( spl0_1
<=> v_K = c_Public_OshrK(v_A) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f3618,plain,
( v_K = c_Public_OshrK(v_A)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f3616]) ).
fof(f3620,definition,
( spl0_2
<=> v_K = c_Public_OshrK(v_B) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f3622,plain,
( v_K = c_Public_OshrK(v_B)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f3620]) ).
fof(f3623,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f3575,f3620,f3616]) ).
fof(f3625,definition,
( spl0_3
<=> c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f3626,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)
| spl0_3 ),
inference(avatar_component_clause,[],[f3625]) ).
fof(f3633,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f3573,f3625]) ).
fof(f3670,plain,
( ! [X0] : c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(X0),tc_Message_Omsg)
| ~ spl0_2 ),
inference(superposition,[],[f3551,f3622]) ).
fof(f3671,plain,
( $false
| ~ spl0_2
| spl0_3 ),
inference(resolution,[],[f3670,f3626]) ).
fof(f3672,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f3671]) ).
fof(f3673,plain,
( ! [X0] : c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(X0),tc_Message_Omsg)
| ~ spl0_1 ),
inference(superposition,[],[f3551,f3618]) ).
fof(f3680,plain,
( $false
| ~ spl0_1
| spl0_3 ),
inference(resolution,[],[f3673,f3626]) ).
fof(f3681,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f3680]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f3623]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f3633]) ).
cnf(s4,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f3672]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f3681]) ).
cnf(s6,plain,
~ spl0_1,
inference(rat,[],[s5,s3]) ).
cnf(s7,plain,
~ spl0_2,
inference(rat,[],[s4,s3]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s7,s6]) ).
fof(f3682,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV339-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 10:39:16 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.78/1.38 % (3309959)Input is clausal, will run a generic CNF schedule.
% 3.78/1.38 % (3309966)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3735490096:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.78/1.38 % (3309970)dis-21_1_sil=8000:lcm=predicate:random_seed=2583103133: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)
% 3.78/1.38 % (3309964)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=150198838:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.78/1.38 % (3309969)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2879882346:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.78/1.38 % (3309968)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3694990365:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.78/1.38 % (3309967)lrs+10_1_sil=8000:sp=occurrence:random_seed=3594671112:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.78/1.38 % (3309965)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2374722767:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.78/1.38 % (3309967)First to succeed.
% 3.78/1.38 % (3309967)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3309959"
% 3.78/1.38 % (3309969)Also succeeded, but the first one will report.
% 3.78/1.38 % (3309968)Also succeeded, but the first one will report.
% 3.78/1.38 % (3309970)Instruction limit reached!
% 3.78/1.38 % (3309970)------------------------------
% 3.78/1.38 % (3309970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.38 % (3309970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.38 % (3309970)CaDiCaL version: 2.1.3
% 3.78/1.38 % (3309970)Termination reason: Instruction limit
% 3.78/1.38 % (3309970)Termination phase: Saturation
% 3.78/1.38 % (3309970)Time elapsed: 0.064 s
% 3.78/1.38 % (3309970)Peak memory usage: 91 MB
% 3.78/1.38 % (3309970)Instructions burned: 117 (million)
% 3.78/1.38 % (3309978)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=280902338:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 3.78/1.38 % (3309978)Also succeeded, but the first one will report.
% 3.78/1.38 % (3309967)Refutation found. Thanks to Tanya!
% 3.78/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.78/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.39 % (3309967)------------------------------
% 3.78/1.39 % (3309967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.39 % (3309967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.39 % (3309967)CaDiCaL version: 2.1.3
% 3.78/1.39 % (3309967)Termination reason: Refutation
% 3.78/1.39 % (3309967)Time elapsed: 0.022 s
% 3.78/1.39 % (3309967)Peak memory usage: 91 MB
% 3.78/1.39 % (3309967)Instructions burned: 34 (million)
% 3.78/1.39 % (3309967)------------------------------
% 3.78/1.39 % (3309967)------------------------------
% 3.78/1.39 % (3309959)Success in time 0.517 s
% 3.78/1.39 % Vampire exiting
%------------------------------------------------------------------------------