%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN224-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 02:07:03 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.26s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 43 ( 14 unt; 6 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 31 ~; 28 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 7 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f126,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_088) ).
fof(f174,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_136) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f255,axiom,
! [X0] :
( l3(X0,X0)
| ~ n2(X0)
| ~ m2(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_217) ).
fof(f369,negated_conjecture,
! [X0] : ~ l3(a,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f568,definition,
( spl0_51
<=> m2(b) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f756,definition,
( spl0_98
<=> ! [X0] :
( l3(X0,X0)
| ~ n2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f757,plain,
( ! [X0] :
( ~ n2(X0)
| l3(X0,X0) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f758,plain,
( ~ spl0_51
| spl0_98 ),
inference(avatar_split_clause,[],[f255,f756,f568]) ).
fof(f1104,definition,
( spl0_185
<=> n2(a) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
fof(f1106,plain,
( n2(a)
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1109,definition,
( spl0_186
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
fof(f1111,plain,
( ~ k1(b)
| spl0_186 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1112,plain,
( ~ spl0_186
| spl0_51 ),
inference(avatar_split_clause,[],[f174,f568,f1109]) ).
fof(f1248,definition,
( spl0_220
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).
fof(f1252,definition,
( spl0_221
<=> p1(a,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
fof(f1254,plain,
( p1(a,a,a)
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f1255,plain,
( ~ spl0_220
| spl0_221 ),
inference(avatar_split_clause,[],[f126,f1252,f1248]) ).
fof(f1494,plain,
spl0_220,
inference(avatar_split_clause,[],[f20,f1248]) ).
fof(f1544,plain,
k1(b),
inference(resolution,[],[f39,f7]) ).
fof(f1575,plain,
( $false
| spl0_186 ),
inference(forward_subsumption_resolution,[],[f1544,f1111]) ).
fof(f1576,plain,
spl0_186,
inference(avatar_contradiction_clause,[],[f1575]) ).
fof(f1668,plain,
( n2(a)
| ~ spl0_221 ),
inference(resolution,[],[f175,f1254]) ).
fof(f1677,plain,
( spl0_185
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f1668,f1252,f1104]) ).
fof(f1679,plain,
( l3(a,a)
| ~ spl0_98
| ~ spl0_185 ),
inference(resolution,[],[f757,f1106]) ).
fof(f1680,plain,
( $false
| ~ spl0_98
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f1679,f369]) ).
fof(f1681,plain,
( ~ spl0_98
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f1680]) ).
cnf(s43,plain,
( ~ spl0_51
| spl0_98 ),
inference(sat_conversion,[],[f758]) ).
cnf(s84,plain,
( spl0_51
| ~ spl0_186 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s106,plain,
( ~ spl0_220
| spl0_221 ),
inference(sat_conversion,[],[f1255]) ).
cnf(s149,plain,
spl0_220,
inference(sat_conversion,[],[f1494]) ).
cnf(s187,plain,
spl0_186,
inference(sat_conversion,[],[f1576]) ).
cnf(s220,plain,
( spl0_185
| ~ spl0_221 ),
inference(sat_conversion,[],[f1677]) ).
cnf(s221,plain,
( ~ spl0_98
| ~ spl0_185 ),
inference(sat_conversion,[],[f1681]) ).
cnf(s257,plain,
spl0_221,
inference(rat,[],[s106,s149]) ).
cnf(s258,plain,
spl0_185,
inference(rat,[],[s220,s257]) ).
cnf(s261,plain,
~ spl0_98,
inference(rat,[],[s221,s258]) ).
cnf(s288,plain,
spl0_51,
inference(rat,[],[s84,s187]) ).
cnf(s311,plain,
$false,
inference(rat,[],[s43,s261,s288]) ).
fof(f1682,plain,
$false,
inference(avatar_sat_refutation,[],[s311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN224-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n026.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:41:12 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.26 % (3955782)Will run a generic schedule for satisfiability detection.
% 0.20/0.26 % (3955792)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1062747930:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.26 % (3955788)% WARNING: option uhcvi not known.
% 0.20/0.26 % (3955789)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3203942602:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.26 % (3955792) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3955782-3955792"...
% 0.20/0.26 % (3955787)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1394774296_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.26 % (3955788)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4181261722:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.26 % (3955791)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2096326588:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.26 % (3955793)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3556615307:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.26 % (3955790)dis+10_1_sil=32000:sp=arity:random_seed=81760894:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.26 % (3955792)...printing done.
% 0.20/0.26 % (3955792)Refutation found. Thanks to Tanya!
% 0.20/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.26 % (3955792)------------------------------
% 0.20/0.26 % (3955792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.26 % (3955792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.26 % (3955792)CaDiCaL version: 2.1.3
% 0.20/0.26 % (3955792)Termination reason: Refutation
% 0.20/0.26 % (3955792)Time elapsed: 0.007 s
% 0.20/0.26 % (3955792)Peak memory usage: 13 MB
% 0.20/0.26 % (3955792)Instructions burned: 17 (million)
% 0.20/0.26 % (3955782)Success in time 0.031 s
% 0.20/0.26 % Vampire exiting
%------------------------------------------------------------------------------