%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN379+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 : n007.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 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 24 ( 13 ~; 0 |; 4 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 28 ( 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] : big_p(X0)
=> ? [X1] :
( ! [X0,X2] : big_q(X0,X1,X2)
=> ~ ! [X2] :
( big_p(X2)
& ~ big_q(X1,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2131) ).
fof(f2,negated_conjecture,
~ ( ! [X0] : big_p(X0)
=> ? [X1] :
( ! [X0,X2] : big_q(X0,X1,X2)
=> ~ ! [X2] :
( big_p(X2)
& ~ big_q(X1,X1,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ! [X0] : big_p(X0)
=> ? [X1] :
( ! [X2,X3] : big_q(X2,X1,X3)
=> ~ ! [X4] :
( big_p(X4)
& ~ big_q(X1,X1,X4) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
~ ? [X1] :
( ! [X2,X3] : big_q(X2,X1,X3)
=> ~ ! [X4] : ~ big_q(X1,X1,X4) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f5,plain,
! [X1] :
( ! [X4] : ~ big_q(X1,X1,X4)
& ! [X2,X3] : big_q(X2,X1,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
! [X2,X3,X1] : big_q(X2,X1,X3),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X1,X4] : ~ big_q(X1,X1,X4),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
$false,
inference(forward_subsumption_resolution,[],[f7,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN379+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 : n007.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 15:50:21 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
% 0.19/0.27 % (2515387)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (2515396)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3755671285:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (2515396) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2515387-2515396"...
% 0.19/0.27 % (2515396)...printing done.
% 0.19/0.27 % (2515396)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (2515396)------------------------------
% 0.19/0.27 % (2515396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (2515396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (2515396)CaDiCaL version: 2.1.3
% 0.19/0.27 % (2515396)Termination reason: Refutation
% 0.19/0.27 % (2515396)Time elapsed: 0.001 s
% 0.19/0.27 % (2515396)Peak memory usage: 11 MB
% 0.19/0.27 % (2515387)Success in time 0.029 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------