%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN730+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 : n003.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 02:18:10 PM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 13 ( 4 ~; 5 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 10 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
! [X1] :
? [X2] :
( ( p(a,X1,h(X1))
| p(X0,X1,k(X1)) )
=> p(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm75) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X1] :
? [X2] :
( ( p(a,X1,h(X1))
| p(X0,X1,k(X1)) )
=> p(X0,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X0] :
? [X1] :
! [X2] :
( ~ p(X0,X1,X2)
& ( p(a,X1,h(X1))
| p(X0,X1,k(X1)) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0,X2] :
( ~ p(X0,sK0(X0),X2)
& ( p(a,sK0(X0),h(sK0(X0)))
| p(X0,sK0(X0),k(sK0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f3]) ).
fof(f5,plain,
! [X0] :
( p(a,sK0(X0),h(sK0(X0)))
| p(X0,sK0(X0),k(sK0(X0))) ),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X2,X0] : ~ p(X0,sK0(X0),X2),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
! [X0] : p(a,sK0(X0),h(sK0(X0))),
inference(forward_subsumption_resolution,[],[f5,f6]) ).
fof(f8,plain,
$false,
inference(resolution,[],[f7,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN730+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n003.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 16:51:57 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 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
% 0.20/0.28 % (1745665)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (1745672)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4270458913:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (1745672) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1745665-1745672"...
% 0.20/0.28 % (1745672)...printing done.
% 0.20/0.28 % (1745671)% WARNING: option uhcvi not known.
% 0.20/0.28 % (1745672)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (1745672)------------------------------
% 0.20/0.28 % (1745672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (1745672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (1745672)CaDiCaL version: 2.1.3
% 0.20/0.28 % (1745672)Termination reason: Refutation
% 0.20/0.28 % (1745672)Time elapsed: 0.001 s
% 0.20/0.28 % (1745672)Peak memory usage: 11 MB
% 0.20/0.28 % (1745665)Success in time 0.033 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------