%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN385+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 : n005.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 02:07:33 PM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 13 ( 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
! [X1] :
( big_p(X0)
=> ( big_q(X0)
| big_p(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2137) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X1] :
( big_p(X0)
=> ( big_q(X0)
| big_p(X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ? [X0] :
! [X1] :
( big_p(X0)
=> big_p(X1) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f4,plain,
! [X0] :
? [X1] :
( ~ big_p(X1)
& big_p(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
! [X0] :
( ~ big_p(sK0(X0))
& big_p(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f4]) ).
fof(f6,plain,
! [X0] : big_p(X0),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X0] : ~ big_p(sK0(X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X0] : big_p(sK0(X0)),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f9,plain,
! [X0] : ~ big_p(X0),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f10,plain,
$false,
inference(resolution,[],[f8,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN385+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:52:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.26 % (897385)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (897396)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=555768392:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.26 % (897396) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-897385-897396"...
% 0.08/0.26 % (897396)...printing done.
% 0.08/0.26 % (897396)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (897396)------------------------------
% 0.08/0.26 % (897396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (897396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (897396)CaDiCaL version: 2.1.3
% 0.08/0.26 % (897396)Termination reason: Refutation
% 0.08/0.26 % (897396)Time elapsed: 0.0000 s
% 0.08/0.26 % (897396)Peak memory usage: 12 MB
% 0.08/0.26 % (897385)Success in time 0.03 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------