%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN146-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:49:46 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.15s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 2 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 7 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f87,axiom,
( n1(c,c,c)
| ~ l0(c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_049) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ n1(X0,c,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f1182,definition,
( spl0_229
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).
fof(f1183,plain,
( ~ l0(c)
| spl0_229 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f1210,definition,
( spl0_237
<=> n1(c,c,c) ),
introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).
fof(f1211,plain,
( n1(c,c,c)
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f1212,plain,
( ~ spl0_229
| spl0_237 ),
inference(avatar_split_clause,[],[f87,f1210,f1182]) ).
fof(f1429,plain,
( $false
| spl0_229 ),
inference(resolution,[],[f24,f1183]) ).
fof(f1430,plain,
spl0_229,
inference(avatar_contradiction_clause,[],[f1429]) ).
fof(f1433,plain,
( $false
| ~ spl0_237 ),
inference(resolution,[],[f1211,f369]) ).
fof(f1436,plain,
~ spl0_237,
inference(avatar_contradiction_clause,[],[f1433]) ).
cnf(s127,plain,
( ~ spl0_229
| spl0_237 ),
inference(sat_conversion,[],[f1212]) ).
cnf(s164,plain,
spl0_229,
inference(sat_conversion,[],[f1430]) ).
cnf(s167,plain,
~ spl0_237,
inference(sat_conversion,[],[f1436]) ).
cnf(s174,plain,
$false,
inference(rat,[],[s127,s167,s164]) ).
fof(f1437,plain,
$false,
inference(avatar_sat_refutation,[],[s174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN146-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n008.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 15:37:40 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 2.73/1.15 % (2348069)Input is clausal, will run a generic CNF schedule.
% 2.73/1.15 % (2348080)dis-21_1_sil=8000:lcm=predicate:random_seed=1509882498: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)
% 2.73/1.15 % (2348080)First to succeed.
% 2.73/1.15 % (2348080)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2348069"
% 2.73/1.15 % (2348079)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=325098407:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.15 % (2348074)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=4024964952:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.15 % (2348075)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1919389046:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.15 % (2348078)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1279801962:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.15 % (2348077)lrs+10_1_sil=8000:sp=occurrence:random_seed=2359944475:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.15 % (2348076)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3400345391:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.15 % (2348077)Also succeeded, but the first one will report.
% 2.73/1.15 % (2348078)Also succeeded, but the first one will report.
% 2.73/1.15 % (2348079)Also succeeded, but the first one will report.
% 2.73/1.15 % (2348080)Refutation found. Thanks to Tanya!
% 2.73/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.16 % (2348080)------------------------------
% 2.73/1.16 % (2348080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.16 % (2348080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.16 % (2348080)CaDiCaL version: 2.1.3
% 2.73/1.16 % (2348080)Termination reason: Refutation
% 2.73/1.16 % (2348080)Time elapsed: 0.005 s
% 2.73/1.16 % (2348080)Peak memory usage: 90 MB
% 2.73/1.16 % (2348080)Instructions burned: 12 (million)
% 2.73/1.16 % (2348080)------------------------------
% 2.73/1.16 % (2348080)------------------------------
% 2.73/1.16 % (2348069)Success in time 0.298 s
% 2.73/1.16 % Vampire exiting
%------------------------------------------------------------------------------