%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN246-1 : 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 : n019.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 0.20s 0.31s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 10 unt; 2 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f59,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_021) ).
fof(f369,negated_conjecture,
~ m1(c,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f820,definition,
( spl0_114
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f821,plain,
( l0(c)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f985,definition,
( spl0_156
<=> k0(b) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f986,plain,
( k0(b)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f1282,plain,
spl0_156,
inference(avatar_split_clause,[],[f32,f985]) ).
fof(f1285,plain,
spl0_114,
inference(avatar_split_clause,[],[f24,f820]) ).
fof(f1641,plain,
( ! [X0] :
( ~ l0(X0)
| m1(X0,b,X0) )
| ~ spl0_156 ),
inference(resolution,[],[f59,f986]) ).
fof(f1643,plain,
( m1(c,b,c)
| ~ spl0_114
| ~ spl0_156 ),
inference(resolution,[],[f1641,f821]) ).
fof(f1645,plain,
( $false
| ~ spl0_114
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f1643,f369]) ).
fof(f1646,plain,
( ~ spl0_114
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[],[f1645]) ).
cnf(s122,plain,
spl0_156,
inference(sat_conversion,[],[f1282]) ).
cnf(s125,plain,
spl0_114,
inference(sat_conversion,[],[f1285]) ).
cnf(s215,plain,
( ~ spl0_114
| ~ spl0_156 ),
inference(sat_conversion,[],[f1646]) ).
cnf(s226,plain,
~ spl0_156,
inference(rat,[],[s215,s125]) ).
cnf(s227,plain,
$false,
inference(rat,[],[s122,s226]) ).
fof(f1647,plain,
$false,
inference(avatar_sat_refutation,[],[s227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN246-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:39:19 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.20/0.31 % (4103959)Will run a generic schedule for satisfiability detection.
% 0.20/0.31 % (4103968)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=796392538:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.31 % (4103965)% WARNING: option uhcvi not known.
% 0.20/0.31 % (4103965)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3950061074:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.31 % (4103967)dis+10_1_sil=32000:sp=arity:random_seed=1287450837:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.31 % (4103964)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=669333950_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.31 % (4103966)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1619071103:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.31 % (4103969)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1198425251:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.31 % (4103970)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1740942757:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.31 % (4103968) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4103959-4103968"...
% 0.20/0.31 % (4103968)...printing done.
% 0.20/0.31 % (4103968)Refutation found. Thanks to Tanya!
% 0.20/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.31 % (4103968)------------------------------
% 0.20/0.31 % (4103968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (4103968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (4103968)CaDiCaL version: 2.1.3
% 0.20/0.31 % (4103968)Termination reason: Refutation
% 0.20/0.31 % (4103968)Time elapsed: 0.013 s
% 0.20/0.31 % (4103968)Peak memory usage: 13 MB
% 0.20/0.31 % (4103968)Instructions burned: 37 (million)
% 0.20/0.31 % (4103959)Success in time 0.06 s
% 0.20/0.31 % Vampire exiting
%------------------------------------------------------------------------------