%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN951+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 : n009.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 02:22:56 PM UTC 2026
% Result : Theorem 0.12s 0.24s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 71 ( 25 ~; 18 |; 17 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 18 ( 8 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ? [X0] : p(X0)
=> ( ? [X0] : p(X0)
& ( a
=> ( ( b
| ~ b )
& ( q
=> q ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ? [X0] : p(X0)
=> ( ? [X0] : p(X0)
& ( a
=> ( ( b
| ~ b )
& ( q
=> q ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ? [X0] : p(X0)
=> ( ? [X1] : p(X1)
& ( a
=> ( ( b
| ~ b )
& ( q
=> q ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
~ ( ? [X0] : p(X0)
=> ( ( b
| ~ b )
& ( q
=> q )
& ? [X1] : p(X1) ) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f5,plain,
( ( ( ~ b
& b )
| ( ~ q
& q )
| ! [X1] : ~ p(X1) )
& ? [X0] : p(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
( ( ( ~ b
& b )
| ( ~ q
& q )
| ! [X0] : ~ p(X0) )
& ? [X1] : p(X1) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ( ( ~ b
& b )
| ( ~ q
& q )
| ! [X0] : ~ p(X0) )
& p(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0)],[f6]) ).
fof(f8,plain,
p(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
! [X0] :
( b
| q
| ~ p(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X0] :
( b
| ~ q
| ~ p(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X0] :
( ~ b
| q
| ~ p(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
! [X0] :
( ~ b
| ~ q
| ~ p(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
! [X0] : ~ p(X0),
inference(global_subsumption,[],[f12,f11,f10,f9]) ).
fof(f16,plain,
$false,
inference(resolution,[],[f14,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN951+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.18 % Computer : n009.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Mon Sep 28 17:16:30 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.20 Running first-order model finding
% 0.12/0.21 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
% 0.12/0.24 % (3226039)Will run a generic schedule for satisfiability detection.
% 0.12/0.24 % (3226046)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2265731656:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.24 % (3226046) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3226039-3226046"...
% 0.12/0.24 % (3226046)...printing done.
% 0.12/0.24 % (3226046)Refutation found. Thanks to Tanya!
% 0.12/0.24 % SZS status Theorem for theBenchmark
% 0.12/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.24 % (3226046)------------------------------
% 0.12/0.24 % (3226046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.24 % (3226046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.24 % (3226046)CaDiCaL version: 2.1.3
% 0.12/0.24 % (3226046)Termination reason: Refutation
% 0.12/0.24 % (3226046)Time elapsed: 0.001 s
% 0.12/0.24 % (3226046)Peak memory usage: 11 MB
% 0.12/0.24 % (3226039)Success in time 0.028 s
% 0.12/0.24 % Vampire exiting
%------------------------------------------------------------------------------