%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN382+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 02:07:32 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 : 11 ( 5 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 21 ( 7 ~; 9 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
? [X1] :
( ! [X2] : big_p(X1,X2)
| big_q(X1,X0) )
=> ! [X2] :
? [X1] :
( big_p(X1,X2)
| big_q(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2134) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
? [X1] :
( ! [X2] : big_p(X1,X2)
| big_q(X1,X0) )
=> ! [X2] :
? [X1] :
( big_p(X1,X2)
| big_q(X1,X2) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ! [X0] :
? [X1] :
( ! [X2] : big_p(X1,X2)
| big_q(X1,X0) )
=> ! [X3] :
? [X4] :
( big_p(X4,X3)
| big_q(X4,X3) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X3] :
! [X4] :
( ~ big_p(X4,X3)
& ~ big_q(X4,X3) )
& ! [X0] :
? [X1] :
( ! [X2] : big_p(X1,X2)
| big_q(X1,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
! [X4] : ~ big_q(X4,sK0),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X4] : ~ big_p(X4,sK0),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
! [X2,X0] :
( big_q(sK1(X0),X0)
| big_p(sK1(X0),X2) ),
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
! [X2,X0] :
( ~ big_q(sK1(X0),X0)
| big_p(sK1(X0),X2) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f9,plain,
! [X4] : big_q(X4,sK0),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f10,plain,
! [X0] : big_p(sK1(sK0),X0),
inference(resolution,[],[f8,f9]) ).
fof(f11,plain,
$false,
inference(resolution,[],[f10,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN382+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n005.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 15:52:13 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.08/0.26 % (896962)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (896968)% WARNING: option uhcvi not known.
% 0.08/0.26 % (896968)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2891435299:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (896968) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-896962-896968"...
% 0.08/0.26 % (896968)...printing done.
% 0.08/0.26 % (896968)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 % (896968)------------------------------
% 0.08/0.26 % (896968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (896968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (896968)CaDiCaL version: 2.1.3
% 0.08/0.26 % (896968)Termination reason: Refutation
% 0.08/0.26 % (896968)Time elapsed: 0.001 s
% 0.08/0.26 % (896968)Peak memory usage: 11 MB
% 0.08/0.26 % (896962)Success in time 0.023 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------