%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN956+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 02:22:57 PM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 8 unt; 2 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 49 ( 19 ~; 11 |; 8 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 13 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ? [X0] :
( a(X0)
=> b(X0) )
=> ( ! [X0] : a(X0)
=> ? [X0] : b(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
( a(X0)
=> b(X0) )
=> ( ! [X0] : a(X0)
=> ? [X0] : b(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ? [X0] :
( a(X0)
=> b(X0) )
=> ( ! [X1] : a(X1)
=> ? [X2] : b(X2) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ! [X2] : ~ b(X2)
& ! [X1] : a(X1)
& ? [X0] :
( b(X0)
| ~ a(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ! [X2] : ~ b(X2)
& ! [X1] : a(X1)
& ? [X0] :
( b(X0)
| ~ a(X0) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ! [X0] : ~ b(X0)
& ! [X1] : a(X1)
& ? [X2] :
( b(X2)
| ~ a(X2) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ! [X0] : ~ b(X0)
& ! [X1] : a(X1)
& ( b(sK0)
| ~ a(sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0)],[f6]) ).
fof(f8,plain,
( b(sK0)
| ~ a(sK0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
! [X1] : a(X1),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X0] : ~ b(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f12,definition,
( spl1_1
<=> a(sK0) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f14,plain,
( ~ a(sK0)
| spl1_1 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f16,definition,
( spl1_2
<=> b(sK0) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f18,plain,
( b(sK0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f19,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f8,f16,f12]) ).
fof(f20,plain,
( $false
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f14,f9]) ).
fof(f21,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f20]) ).
fof(f22,plain,
( $false
| ~ spl1_2 ),
inference(forward_subsumption_resolution,[],[f18,f10]) ).
fof(f23,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f22]) ).
cnf(s1,plain,
( ~ spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f19]) ).
cnf(s2,plain,
spl1_1,
inference(sat_conversion,[],[f21]) ).
cnf(s3,plain,
~ spl1_2,
inference(sat_conversion,[],[f23]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f24,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN956+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 17:14:40 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
% 0.09/0.26 % (2572390)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (2572398)dis+10_1_sil=32000:sp=arity:random_seed=1004300545:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (2572398) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2572390-2572398"...
% 0.09/0.26 % (2572398)...printing done.
% 0.09/0.26 % (2572398)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (2572398)------------------------------
% 0.09/0.26 % (2572398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (2572398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (2572398)CaDiCaL version: 2.1.3
% 0.09/0.26 % (2572398)Termination reason: Refutation
% 0.09/0.26 % (2572398)Time elapsed: 0.001 s
% 0.09/0.26 % (2572398)Peak memory usage: 12 MB
% 0.09/0.26 % (2572390)Success in time 0.029 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------