%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN362+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 02:07:28 PM UTC 2026
% Result : Theorem 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 19 ~; 5 |; 11 &)
% ( 0 <=>; 6 =>; 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 : 37 ( 22 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0] :
? [X1] : big_r(X0,X1)
& ? [X2] :
! [X3] :
( big_p(X3)
=> ~ big_r(X2,X3) ) )
=> ? [X3] : ~ big_p(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2113) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
? [X1] : big_r(X0,X1)
& ? [X2] :
! [X3] :
( big_p(X3)
=> ~ big_r(X2,X3) ) )
=> ? [X3] : ~ big_p(X3) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ! [X0] :
? [X1] : big_r(X0,X1)
& ? [X2] :
! [X3] :
( big_p(X3)
=> ~ big_r(X2,X3) ) )
=> ? [X4] : ~ big_p(X4) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ! [X4] : big_p(X4)
& ! [X0] :
? [X1] : big_r(X0,X1)
& ? [X2] :
! [X3] :
( ~ big_r(X2,X3)
| ~ big_p(X3) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ! [X4] : big_p(X4)
& ! [X0] :
? [X1] : big_r(X0,X1)
& ? [X2] :
! [X3] :
( ~ big_r(X2,X3)
| ~ big_p(X3) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ! [X0] : big_p(X0)
& ! [X1] :
? [X2] : big_r(X1,X2)
& ? [X3] :
! [X4] :
( ~ big_r(X3,X4)
| ~ big_p(X4) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ! [X0] : big_p(X0)
& ! [X1] : big_r(X1,sK0(X1))
& ! [X4] :
( ~ big_r(sK1,X4)
| ~ big_p(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X1)),skolemize(X3,sK1)],[f6]) ).
fof(f8,plain,
! [X4] :
( ~ big_r(sK1,X4)
| ~ big_p(X4) ),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
! [X1] : big_r(X1,sK0(X1)),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X0] : big_p(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X4] : ~ big_r(sK1,X4),
inference(forward_subsumption_resolution,[],[f8,f10]) ).
fof(f12,plain,
$false,
inference(resolution,[],[f11,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN362+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n001.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 15:54:33 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.27 % (453201)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (453209)dis+10_1_sil=32000:sp=arity:random_seed=3326844502:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.27 % (453209) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-453201-453209"...
% 0.21/0.27 % (453209)...printing done.
% 0.21/0.27 % (453209)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Theorem for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (453209)------------------------------
% 0.21/0.27 % (453209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (453209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (453209)CaDiCaL version: 2.1.3
% 0.21/0.27 % (453209)Termination reason: Refutation
% 0.21/0.27 % (453209)Time elapsed: 0.001 s
% 0.21/0.27 % (453209)Peak memory usage: 11 MB
% 0.21/0.27 % (453201)Success in time 0.025 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------