%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN406+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 : n026.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 02:07:46 PM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 49 ( 17 ~; 10 |; 18 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 19 ( 12 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0] :
( f(X0)
=> g(X0) )
& ? [X1] :
( f(X1)
& h(X1) ) )
=> ? [X2] :
( g(X2)
& h(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish240) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
( f(X0)
=> g(X0) )
& ? [X1] :
( f(X1)
& h(X1) ) )
=> ? [X2] :
( g(X2)
& h(X2) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X2] :
( ~ g(X2)
| ~ h(X2) )
& ! [X0] :
( g(X0)
| ~ f(X0) )
& ? [X1] :
( f(X1)
& h(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X2] :
( ~ g(X2)
| ~ h(X2) )
& ! [X0] :
( g(X0)
| ~ f(X0) )
& ? [X1] :
( f(X1)
& h(X1) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( ! [X0] :
( ~ g(X0)
| ~ h(X0) )
& ! [X1] :
( g(X1)
| ~ f(X1) )
& ? [X2] :
( f(X2)
& h(X2) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( ! [X0] :
( ~ g(X0)
| ~ h(X0) )
& ! [X1] :
( g(X1)
| ~ f(X1) )
& f(sK0)
& h(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0)],[f5]) ).
fof(f7,plain,
h(sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
f(sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
! [X1] :
( ~ f(X1)
| g(X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f10,plain,
! [X0] :
( ~ h(X0)
| ~ g(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f19,plain,
~ g(sK0),
inference(resolution,[],[f7,f10]) ).
fof(f29,plain,
g(sK0),
inference(resolution,[],[f9,f8]) ).
fof(f30,plain,
$false,
inference(forward_subsumption_resolution,[],[f29,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN406+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n026.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 15:57:27 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
% 0.20/0.27 % (3975778)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (3975785)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1244328461:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (3975785) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3975778-3975785"...
% 0.20/0.27 % (3975785)...printing done.
% 0.20/0.27 % (3975785)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (3975785)------------------------------
% 0.20/0.27 % (3975785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3975785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3975785)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3975785)Termination reason: Refutation
% 0.20/0.27 % (3975785)Time elapsed: 0.001 s
% 0.20/0.27 % (3975785)Peak memory usage: 11 MB
% 0.20/0.27 % (3975778)Success in time 0.034 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------