%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN243-1 : 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 : n014.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 02:07:06 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 10 unt; 3 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 22 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f53,axiom,
! [X2,X0,X1] :
( m1(X0,X1,X1)
| ~ l0(X2)
| ~ m0(X1,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_015) ).
fof(f369,negated_conjecture,
~ m1(a,d,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f1086,definition,
( spl0_181
<=> ! [X1] : ~ l0(X1) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
fof(f1087,plain,
( ! [X1] : ~ l0(X1)
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f1102,definition,
( spl0_185
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
fof(f1103,plain,
( l0(a)
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1258,definition,
( spl0_223
<=> ! [X0,X1] :
( m1(X0,X1,X1)
| ~ m0(X1,X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
fof(f1259,plain,
( ! [X0,X1] :
( m1(X0,X1,X1)
| ~ m0(X1,X1,X0) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f1260,plain,
( spl0_181
| spl0_223 ),
inference(avatar_split_clause,[],[f53,f1258,f1086]) ).
fof(f1287,plain,
spl0_185,
inference(avatar_split_clause,[],[f20,f1102]) ).
fof(f1303,plain,
( $false
| ~ spl0_181
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f1103,f1087]) ).
fof(f1304,plain,
( ~ spl0_181
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f1303]) ).
fof(f1837,plain,
( ~ m0(d,d,a)
| ~ spl0_223 ),
inference(resolution,[],[f1259,f369]) ).
fof(f1841,plain,
( $false
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f1837,f19]) ).
fof(f1842,plain,
~ spl0_223,
inference(avatar_contradiction_clause,[],[f1841]) ).
cnf(s116,plain,
( spl0_181
| spl0_223 ),
inference(sat_conversion,[],[f1260]) ).
cnf(s127,plain,
spl0_185,
inference(sat_conversion,[],[f1287]) ).
cnf(s138,plain,
( ~ spl0_181
| ~ spl0_185 ),
inference(sat_conversion,[],[f1304]) ).
cnf(s242,plain,
~ spl0_223,
inference(sat_conversion,[],[f1842]) ).
cnf(s253,plain,
~ spl0_181,
inference(rat,[],[s138,s127]) ).
cnf(s258,plain,
$false,
inference(rat,[],[s116,s242,s253]) ).
fof(f1843,plain,
$false,
inference(avatar_sat_refutation,[],[s258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN243-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:39:02 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.21/0.27 % (1865714)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (1865727)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3446514227:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.27 % (1865724)% WARNING: option uhcvi not known.
% 0.21/0.27 % (1865723)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4257990645_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.27 % (1865725)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1795440170:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.27 % (1865724)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2492586337:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.27 % (1865726)dis+10_1_sil=32000:sp=arity:random_seed=1966836510:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.27 % (1865729)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2205608685:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.27 % (1865728)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2627084462:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.27 % (1865727) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1865714-1865727"...
% 0.21/0.27 % (1865727)...printing done.
% 0.21/0.27 % (1865727)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (1865727)------------------------------
% 0.21/0.27 % (1865727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (1865727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (1865727)CaDiCaL version: 2.1.3
% 0.21/0.27 % (1865727)Termination reason: Refutation
% 0.21/0.27 % (1865727)Time elapsed: 0.015 s
% 0.21/0.27 % (1865727)Peak memory usage: 13 MB
% 0.21/0.27 % (1865727)Instructions burned: 41 (million)
% 0.21/0.27 % (1865714)Success in time 0.038 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------