%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN255-1 : TPTP v9.3.1. Released v1.1.0.
% 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 01:50:01 PM UTC 2026
% Result : Unsatisfiable 3.64s 1.36s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 10 unt; 2 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f126,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_088) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f369,negated_conjecture,
~ n2(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f452,plain,
p1(a,a,a),
inference(forward_subsumption_resolution,[],[f126,f20]) ).
fof(f748,definition,
( spl0_91
<=> n2(a) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f749,plain,
( ~ n2(a)
| spl0_91 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f769,plain,
~ spl0_91,
inference(avatar_split_clause,[],[f369,f748]) ).
fof(f785,definition,
( spl0_99
<=> p1(a,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f786,plain,
( p1(a,a,a)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f794,plain,
spl0_99,
inference(avatar_split_clause,[],[f452,f785]) ).
fof(f945,plain,
( n2(a)
| ~ spl0_99 ),
inference(resolution,[],[f175,f786]) ).
fof(f950,plain,
( $false
| spl0_91
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[],[f945,f749]) ).
fof(f951,plain,
( spl0_91
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f950]) ).
cnf(s53,plain,
~ spl0_91,
inference(sat_conversion,[],[f769]) ).
cnf(s58,plain,
spl0_99,
inference(sat_conversion,[],[f794]) ).
cnf(s99,plain,
( spl0_91
| ~ spl0_99 ),
inference(sat_conversion,[],[f951]) ).
cnf(s102,plain,
spl0_91,
inference(rat,[],[s99,s58]) ).
cnf(s104,plain,
$false,
inference(rat,[],[s53,s102]) ).
fof(f952,plain,
$false,
inference(avatar_sat_refutation,[],[s104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN255-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.26 % Computer : n018.cluster.edu
% 0.12/0.26 % Model : x86_64 x86_64
% 0.12/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.26 % Memory : 8046.5625MB
% 0.12/0.26 % OS : Linux 6.8.0-71-generic
% 0.12/0.26 % CPULimit : 300
% 0.12/0.26 % WCLimit : 300
% 0.12/0.26 % DateTime : Mon Sep 28 15:41:10 UTC 2026
% 0.12/0.26 % CPUTime :
% 0.12/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running first-order theorem proving
% 0.25/0.29 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
% 3.64/1.36 % (3495083)Input is clausal, will run a generic CNF schedule.
% 3.64/1.36 % (3495242)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=175926949:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.64/1.36 % (3495243)lrs+10_1_sil=8000:sp=occurrence:random_seed=2074623976:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.64/1.36 % (3495245)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1663804245:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.64/1.36 % (3495244)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2807277980:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.64/1.36 % (3495240)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=3880891607:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.64/1.36 % (3495241)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1569007228:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.64/1.36 % (3495243)First to succeed.
% 3.64/1.36 % (3495243)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3495083"
% 3.64/1.36 % (3495244)Also succeeded, but the first one will report.
% 3.64/1.36 % (3495245)Also succeeded, but the first one will report.
% 3.64/1.36 % (3495246)dis-21_1_sil=8000:lcm=predicate:random_seed=235984867: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)
% 3.64/1.36 % (3495246)Also succeeded, but the first one will report.
% 3.64/1.36 % (3495243)Refutation found. Thanks to Tanya!
% 3.64/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.64/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.36 % (3495243)------------------------------
% 3.64/1.36 % (3495243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.36 % (3495243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.36 % (3495243)CaDiCaL version: 2.1.3
% 3.64/1.36 % (3495243)Termination reason: Refutation
% 3.64/1.36 % (3495243)Time elapsed: 0.008 s
% 3.64/1.36 % (3495243)Peak memory usage: 89 MB
% 3.64/1.36 % (3495243)Instructions burned: 10 (million)
% 3.64/1.36 % (3495243)------------------------------
% 3.64/1.36 % (3495243)------------------------------
% 3.64/1.36 % (3495083)Success in time 0.426 s
% 3.64/1.36 % Vampire exiting
%------------------------------------------------------------------------------