%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN165-1 : 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 : n005.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 01:49:49 PM UTC 2026
% Result : Unsatisfiable 3.49s 1.25s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 8 unt; 2 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 5 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 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 : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f126,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_088) ).
fof(f369,negated_conjecture,
! [X0] : ~ p1(X0,a,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f1276,definition,
( spl0_227
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
fof(f1280,definition,
( spl0_228
<=> p1(a,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
fof(f1282,plain,
( p1(a,a,a)
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1283,plain,
( ~ spl0_227
| spl0_228 ),
inference(avatar_split_clause,[],[f126,f1280,f1276]) ).
fof(f1560,plain,
spl0_227,
inference(avatar_split_clause,[],[f20,f1276]) ).
fof(f1575,plain,
( $false
| ~ spl0_228 ),
inference(forward_subsumption_resolution,[],[f1282,f369]) ).
fof(f1576,plain,
~ spl0_228,
inference(avatar_contradiction_clause,[],[f1575]) ).
cnf(s111,plain,
( ~ spl0_227
| spl0_228 ),
inference(sat_conversion,[],[f1283]) ).
cnf(s160,plain,
spl0_227,
inference(sat_conversion,[],[f1560]) ).
cnf(s172,plain,
~ spl0_228,
inference(sat_conversion,[],[f1576]) ).
cnf(s192,plain,
$false,
inference(rat,[],[s111,s172,s160]) ).
fof(f1577,plain,
$false,
inference(avatar_sat_refutation,[],[s192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN165-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n005.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 15:37:02 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.21 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
% 3.49/1.25 % (878244)Input is clausal, will run a generic CNF schedule.
% 3.49/1.25 % (878345)lrs+10_1_sil=8000:sp=occurrence:random_seed=79672105:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.49/1.25 % (878345)Refutation not found, incomplete strategy
% 3.49/1.25 % (878345)------------------------------
% 3.49/1.25 % (878345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.25 % (878345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.25 % (878345)CaDiCaL version: 2.1.3
% 3.49/1.25 % (878345)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.25 % (878345)Time elapsed: 0.002 s
% 3.49/1.25 % (878345)Peak memory usage: 88 MB
% 3.49/1.25 % (878345)Instructions burned: 4 (million)
% 3.49/1.25 % (878347)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2774230627:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.49/1.25 % (878344)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=962291589:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.49/1.25 % (878348)dis-21_1_sil=8000:lcm=predicate:random_seed=3322425915: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)
% 3.49/1.25 % (878343)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4121553882:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.49/1.25 % (878342)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=1467614436:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.49/1.25 % (878347)First to succeed.
% 3.49/1.25 % (878348)Also succeeded, but the first one will report.
% 3.49/1.25 % (878347)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-878244"
% 3.49/1.25 % (878346)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=785716588:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.49/1.25 % (878346)Also succeeded, but the first one will report.
% 3.49/1.25 % (878345)------------------------------
% 3.49/1.25 % (878345)------------------------------
% 3.49/1.25 % (878356)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=1550209426:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.49/1.25 % (878356)Refutation not found, incomplete strategy
% 3.49/1.25 % (878356)------------------------------
% 3.49/1.25 % (878356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.25 % (878356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.25 % (878356)CaDiCaL version: 2.1.3
% 3.49/1.25 % (878356)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.25 % (878356)Time elapsed: 0.001 s
% 3.49/1.25 % (878356)Peak memory usage: 87 MB
% 3.49/1.25 % (878356)Instructions burned: 1 (million)
% 3.49/1.25 % (878347)Refutation found. Thanks to Tanya!
% 3.49/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.49/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.25 % (878347)------------------------------
% 3.49/1.25 % (878347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.25 % (878347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.25 % (878347)CaDiCaL version: 2.1.3
% 3.49/1.25 % (878347)Termination reason: Refutation
% 3.49/1.25 % (878347)Time elapsed: 0.009 s
% 3.49/1.25 % (878347)Peak memory usage: 90 MB
% 3.49/1.25 % (878347)Instructions burned: 13 (million)
% 3.49/1.25 % (878347)------------------------------
% 3.49/1.25 % (878347)------------------------------
% 3.49/1.25 % (878244)Success in time 0.412 s
% 3.49/1.25 % Vampire exiting
%------------------------------------------------------------------------------