%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN729+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 02:18:09 PM UTC 2026
% Result : Theorem 0.08s 0.27s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 92 ( 30 ~; 18 |; 32 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 38 ( 26 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0] :
? [X1] :
( p(X0)
=> ( l(X0,g(h(X1)))
& p(X1) ) )
& ! [X2] :
( p(X2)
=> ( p(g(X2))
& p(h(X2)) ) ) )
=> ! [X0] :
( p(X0)
=> ? [X1] :
( l(X0,X1)
& p(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm72) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
? [X1] :
( p(X0)
=> ( l(X0,g(h(X1)))
& p(X1) ) )
& ! [X2] :
( p(X2)
=> ( p(g(X2))
& p(h(X2)) ) ) )
=> ! [X0] :
( p(X0)
=> ? [X1] :
( l(X0,X1)
& p(X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ! [X0] :
? [X1] :
( p(X0)
=> ( l(X0,g(h(X1)))
& p(X1) ) )
& ! [X2] :
( p(X2)
=> ( p(g(X2))
& p(h(X2)) ) ) )
=> ! [X3] :
( p(X3)
=> ? [X4] :
( l(X3,X4)
& p(X4) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X3] :
( ! [X4] :
( ~ l(X3,X4)
| ~ p(X4) )
& p(X3) )
& ! [X0] :
? [X1] :
( ( l(X0,g(h(X1)))
& p(X1) )
| ~ p(X0) )
& ! [X2] :
( ( p(g(X2))
& p(h(X2)) )
| ~ p(X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ? [X3] :
( ! [X4] :
( ~ l(X3,X4)
| ~ p(X4) )
& p(X3) )
& ! [X0] :
? [X1] :
( ( l(X0,g(h(X1)))
& p(X1) )
| ~ p(X0) )
& ! [X2] :
( ( p(g(X2))
& p(h(X2)) )
| ~ p(X2) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ? [X0] :
( ! [X1] :
( ~ l(X0,X1)
| ~ p(X1) )
& p(X0) )
& ! [X2] :
? [X3] :
( ( l(X2,g(h(X3)))
& p(X3) )
| ~ p(X2) )
& ! [X4] :
( ( p(g(X4))
& p(h(X4)) )
| ~ p(X4) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ! [X1] :
( ~ l(sK0,X1)
| ~ p(X1) )
& p(sK0)
& ! [X2] :
( ( l(X2,g(h(sK1(X2))))
& p(sK1(X2)) )
| ~ p(X2) )
& ! [X4] :
( ( p(g(X4))
& p(h(X4)) )
| ~ p(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X3,sK1(X2))],[f6]) ).
fof(f8,plain,
! [X4] :
( p(h(X4))
| ~ p(X4) ),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
! [X4] :
( p(g(X4))
| ~ p(X4) ),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X2] :
( p(sK1(X2))
| ~ p(X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X2] :
( l(X2,g(h(sK1(X2))))
| ~ p(X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
p(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f13,plain,
! [X1] :
( ~ l(sK0,X1)
| ~ p(X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
( ~ p(sK0)
| ~ p(g(h(sK1(sK0)))) ),
inference(resolution,[],[f11,f13]) ).
fof(f15,plain,
~ p(g(h(sK1(sK0)))),
inference(forward_subsumption_resolution,[],[f14,f12]) ).
fof(f16,plain,
~ p(h(sK1(sK0))),
inference(resolution,[],[f15,f9]) ).
fof(f17,plain,
~ p(sK1(sK0)),
inference(resolution,[],[f16,f8]) ).
fof(f18,plain,
~ p(sK0),
inference(resolution,[],[f17,f10]) ).
fof(f19,plain,
$false,
inference(forward_subsumption_resolution,[],[f18,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN729+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:53:02 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
% 0.08/0.27 % (2772754)Will run a generic schedule for satisfiability detection.
% 0.08/0.27 % (2772766)dis+10_1_sil=32000:sp=arity:random_seed=1866551904:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.27 % (2772766) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2772754-2772766"...
% 0.08/0.27 % (2772766)...printing done.
% 0.08/0.27 % (2772766)Refutation found. Thanks to Tanya!
% 0.08/0.27 % SZS status Theorem for theBenchmark
% 0.08/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.27 % (2772766)------------------------------
% 0.08/0.27 % (2772766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.27 % (2772766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.27 % (2772766)CaDiCaL version: 2.1.3
% 0.08/0.27 % (2772766)Termination reason: Refutation
% 0.08/0.27 % (2772766)Time elapsed: 0.001 s
% 0.08/0.27 % (2772766)Peak memory usage: 11 MB
% 0.08/0.27 % (2772766)Instructions burned: 1 (million)
% 0.08/0.27 % (2772754)Success in time 0.031 s
% 0.08/0.27 % Vampire exiting
%------------------------------------------------------------------------------