%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN378+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 02:07:31 PM UTC 2026
% Result : Theorem 0.08s 0.24s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 3 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 15 ( 7 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] : big_p(X0)
=> ( ~ ? [X1] : big_q(X1)
| ? [X2] :
( big_p(X2)
=> big_q(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2130) ).
fof(f2,negated_conjecture,
~ ( ! [X0] : big_p(X0)
=> ( ~ ? [X1] : big_q(X1)
| ? [X2] :
( big_p(X2)
=> big_q(X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ~ ? [X1] : big_q(X1)
| ? [X2] : big_q(X2) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f4,plain,
( ? [X1] : big_q(X1)
& ! [X2] : ~ big_q(X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ? [X0] : big_q(X0)
& ! [X1] : ~ big_q(X1) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( big_q(sK0)
& ! [X1] : ~ big_q(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f5]) ).
fof(f7,plain,
! [X1] : ~ big_q(X1),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
big_q(sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
~ big_q(sK0),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f10,plain,
! [X1] : big_q(X1),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f11,plain,
$false,
inference(resolution,[],[f10,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN378+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n013.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 15:50:36 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.24 % (1294961)Will run a generic schedule for satisfiability detection.
% 0.08/0.24 % (1294972)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2774906653:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.24 % (1294972) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1294961-1294972"...
% 0.08/0.24 % (1294972)...printing done.
% 0.08/0.24 % (1294972)Refutation found. Thanks to Tanya!
% 0.08/0.24 % SZS status Theorem for theBenchmark
% 0.08/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24 % (1294972)------------------------------
% 0.08/0.24 % (1294972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (1294972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (1294972)CaDiCaL version: 2.1.3
% 0.08/0.24 % (1294972)Termination reason: Refutation
% 0.08/0.24 % (1294972)Time elapsed: 0.0000 s
% 0.08/0.24 % (1294972)Peak memory usage: 11 MB
% 0.08/0.24 % (1294961)Success in time 0.025 s
% 0.08/0.24 % Vampire exiting
%------------------------------------------------------------------------------