%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN381+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 : n014.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 : 9
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 49 ( 14 ~; 14 |; 12 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 44 ( 34 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0] :
( ? [X1] : big_q(X0,X1)
=> big_p(X0) )
& ! [X2] :
? [X3] : big_q(X3,X2)
& ! [X4,X5] :
( big_q(X4,X5)
=> ( big_q(X5,X4)
| big_q(X5,X5) ) ) )
=> ! [X5] : big_p(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2133) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
( ? [X1] : big_q(X0,X1)
=> big_p(X0) )
& ! [X2] :
? [X3] : big_q(X3,X2)
& ! [X4,X5] :
( big_q(X4,X5)
=> ( big_q(X5,X4)
| big_q(X5,X5) ) ) )
=> ! [X5] : big_p(X5) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ! [X0] :
( ? [X1] : big_q(X0,X1)
=> big_p(X0) )
& ! [X2] :
? [X3] : big_q(X3,X2)
& ! [X4,X5] :
( big_q(X4,X5)
=> ( big_q(X5,X4)
| big_q(X5,X5) ) ) )
=> ! [X6] : big_p(X6) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X6] : ~ big_p(X6)
& ! [X0] :
( big_p(X0)
| ! [X1] : ~ big_q(X0,X1) )
& ! [X2] :
? [X3] : big_q(X3,X2)
& ! [X4,X5] :
( big_q(X5,X4)
| big_q(X5,X5)
| ~ big_q(X4,X5) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ? [X6] : ~ big_p(X6)
& ! [X0] :
( big_p(X0)
| ! [X1] : ~ big_q(X0,X1) )
& ! [X2] :
? [X3] : big_q(X3,X2)
& ! [X4,X5] :
( big_q(X5,X4)
| big_q(X5,X5)
| ~ big_q(X4,X5) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( big_p(X0)
| ~ big_q(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X4,X5] :
( ~ big_q(X4,X5)
| big_q(X5,X5)
| big_q(X5,X4) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X2] : big_q(sK1(X2),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
~ big_p(sK0),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
! [X0] : ~ big_q(sK0,X0),
inference(resolution,[],[f6,f9]) ).
fof(f11,plain,
! [X0] :
( big_q(X0,sK1(X0))
| big_q(X0,X0) ),
inference(resolution,[],[f7,f8]) ).
fof(f16,plain,
! [X0] :
( ~ big_q(X0,sK0)
| big_q(sK0,sK0) ),
inference(resolution,[],[f10,f7]) ).
fof(f17,plain,
! [X0] : ~ big_q(X0,sK0),
inference(forward_subsumption_resolution,[],[f16,f10]) ).
fof(f19,plain,
big_q(sK0,sK0),
inference(resolution,[],[f11,f10]) ).
fof(f20,plain,
$false,
inference(forward_subsumption_resolution,[],[f19,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN381+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n014.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 15:51:01 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 % (1888055)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (1888064)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3334188043:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (1888064) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1888055-1888064"...
% 0.08/0.26 % (1888064)...printing done.
% 0.08/0.26 % (1888064)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 % (1888064)------------------------------
% 0.08/0.26 % (1888064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (1888064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (1888064)CaDiCaL version: 2.1.3
% 0.08/0.26 % (1888064)Termination reason: Refutation
% 0.08/0.26 % (1888064)Time elapsed: 0.001 s
% 0.08/0.26 % (1888064)Peak memory usage: 11 MB
% 0.08/0.26 % (1888064)Instructions burned: 1 (million)
% 0.08/0.26 % (1888055)Success in time 0.03 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------