%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN365+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 02:07:29 PM UTC 2026
% Result : Theorem 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 68 ( 22 ~; 12 |; 22 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 30 ( 20 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0] :
? [X1] :
( big_p(X0)
=> ( big_r(X0,g(h(X1)))
& big_p(X1) ) )
& ! [X2] :
( big_p(X2)
=> ( big_p(g(X2))
& big_p(h(X2)) ) ) )
=> ! [X0] :
( big_p(X0)
=> ? [X1] :
( big_r(X0,X1)
& big_p(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2116) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
? [X1] :
( big_p(X0)
=> ( big_r(X0,g(h(X1)))
& big_p(X1) ) )
& ! [X2] :
( big_p(X2)
=> ( big_p(g(X2))
& big_p(h(X2)) ) ) )
=> ! [X0] :
( big_p(X0)
=> ? [X1] :
( big_r(X0,X1)
& big_p(X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ! [X0] :
? [X1] :
( big_p(X0)
=> ( big_r(X0,g(h(X1)))
& big_p(X1) ) )
& ! [X2] :
( big_p(X2)
=> ( big_p(g(X2))
& big_p(h(X2)) ) ) )
=> ! [X3] :
( big_p(X3)
=> ? [X4] :
( big_r(X3,X4)
& big_p(X4) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X3] :
( ! [X4] :
( ~ big_r(X3,X4)
| ~ big_p(X4) )
& big_p(X3) )
& ! [X0] :
? [X1] :
( ( big_r(X0,g(h(X1)))
& big_p(X1) )
| ~ big_p(X0) )
& ! [X2] :
( ( big_p(g(X2))
& big_p(h(X2)) )
| ~ big_p(X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ? [X3] :
( ! [X4] :
( ~ big_r(X3,X4)
| ~ big_p(X4) )
& big_p(X3) )
& ! [X0] :
? [X1] :
( ( big_r(X0,g(h(X1)))
& big_p(X1) )
| ~ big_p(X0) )
& ! [X2] :
( ( big_p(g(X2))
& big_p(h(X2)) )
| ~ big_p(X2) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X4] :
( ~ big_r(sK0,X4)
| ~ big_p(X4) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X0] :
( big_p(sK1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X0] :
( big_r(X0,g(h(sK1(X0))))
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X2] :
( big_p(h(X2))
| ~ big_p(X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
! [X2] :
( big_p(g(X2))
| ~ big_p(X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
big_p(sK0),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
( ~ big_p(sK0)
| ~ big_p(g(h(sK1(sK0)))) ),
inference(resolution,[],[f8,f6]) ).
fof(f13,plain,
~ big_p(g(h(sK1(sK0)))),
inference(forward_subsumption_resolution,[],[f12,f11]) ).
fof(f14,plain,
~ big_p(h(sK1(sK0))),
inference(resolution,[],[f13,f10]) ).
fof(f15,plain,
~ big_p(sK1(sK0)),
inference(resolution,[],[f14,f9]) ).
fof(f16,plain,
~ big_p(sK0),
inference(resolution,[],[f15,f7]) ).
fof(f17,plain,
$false,
inference(forward_subsumption_resolution,[],[f16,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN365+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 15:54:48 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
% 0.08/0.24 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 % (454073)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (454086)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2134719084:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.27 % (454086) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-454073-454086"...
% 0.21/0.27 % (454086)...printing done.
% 0.21/0.27 % (454086)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 % (454086)------------------------------
% 0.21/0.27 % (454086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (454086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (454086)CaDiCaL version: 2.1.3
% 0.21/0.27 % (454086)Termination reason: Refutation
% 0.21/0.27 % (454086)Time elapsed: 0.001 s
% 0.21/0.27 % (454086)Peak memory usage: 11 MB
% 0.21/0.27 % (454086)Instructions burned: 1 (million)
% 0.21/0.27 % (454073)Success in time 0.029 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------