%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN118-1 : 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 : n002.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 01:49:42 PM UTC 2026
% Result : Unsatisfiable 2.86s 1.17s
% Output : Refutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 1 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f369,negated_conjecture,
~ l0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f1178,definition,
( spl0_228
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
fof(f1179,plain,
( ~ l0(a)
| spl0_228 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f1408,plain,
~ spl0_228,
inference(avatar_split_clause,[],[f369,f1178]) ).
fof(f1423,plain,
( $false
| spl0_228 ),
inference(resolution,[],[f1179,f20]) ).
fof(f1424,plain,
spl0_228,
inference(avatar_contradiction_clause,[],[f1423]) ).
cnf(s154,plain,
~ spl0_228,
inference(sat_conversion,[],[f1408]) ).
cnf(s162,plain,
spl0_228,
inference(sat_conversion,[],[f1424]) ).
cnf(s163,plain,
$false,
inference(rat,[],[s154,s162]) ).
fof(f1425,plain,
$false,
inference(avatar_sat_refutation,[],[s163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN118-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n002.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 15:38:41 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 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
% 2.86/1.17 % (459551)Input is clausal, will run a generic CNF schedule.
% 2.86/1.17 % (459562)dis-21_1_sil=8000:lcm=predicate:random_seed=776020858: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)
% 2.86/1.17 % (459562)First to succeed.
% 2.86/1.17 % (459562)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-459551"
% 2.86/1.17 % (459561)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2504924935:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.86/1.17 % (459559)lrs+10_1_sil=8000:sp=occurrence:random_seed=2642879263:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.86/1.17 % (459560)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1234679460:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.86/1.17 % (459556)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=2805780077:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.86/1.17 % (459557)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3149742828:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.86/1.17 % (459558)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=633059183:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.86/1.17 % (459559)Also succeeded, but the first one will report.
% 2.86/1.17 % (459561)Also succeeded, but the first one will report.
% 2.86/1.17 % (459560)Also succeeded, but the first one will report.
% 2.86/1.17 % (459562)Refutation found. Thanks to Tanya!
% 2.86/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.86/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.86/1.17 % (459562)------------------------------
% 2.86/1.17 % (459562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.17 % (459562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.17 % (459562)CaDiCaL version: 2.1.3
% 2.86/1.17 % (459562)Termination reason: Refutation
% 2.86/1.17 % (459562)Time elapsed: 0.005 s
% 2.86/1.17 % (459562)Peak memory usage: 90 MB
% 2.86/1.17 % (459562)Instructions burned: 11 (million)
% 2.86/1.18 % (459562)------------------------------
% 2.86/1.18 % (459562)------------------------------
% 2.86/1.18 % (459551)Success in time 0.321 s
% 2.86/1.18 % Vampire exiting
%------------------------------------------------------------------------------