%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN407+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 : n017.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 02:07:47 PM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 65 ( 23 ~; 22 |; 14 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 21 ( 16 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
( f(X0)
=> ( g(X0)
| h(X0) ) )
=> ( ! [X1] :
( f(X1)
=> g(X1) )
| ? [X2] :
( f(X2)
& h(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish241) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( f(X0)
=> ( g(X0)
| h(X0) ) )
=> ( ! [X1] :
( f(X1)
=> g(X1) )
| ? [X2] :
( f(X2)
& h(X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ? [X1] :
( ~ g(X1)
& f(X1) )
& ! [X2] :
( ~ f(X2)
| ~ h(X2) )
& ! [X0] :
( g(X0)
| h(X0)
| ~ f(X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ? [X1] :
( ~ g(X1)
& f(X1) )
& ! [X2] :
( ~ f(X2)
| ~ h(X2) )
& ! [X0] :
( g(X0)
| h(X0)
| ~ f(X0) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( ? [X0] :
( ~ g(X0)
& f(X0) )
& ! [X1] :
( ~ f(X1)
| ~ h(X1) )
& ! [X2] :
( g(X2)
| h(X2)
| ~ f(X2) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( ~ g(sK0)
& f(sK0)
& ! [X1] :
( ~ f(X1)
| ~ h(X1) )
& ! [X2] :
( g(X2)
| h(X2)
| ~ f(X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f5]) ).
fof(f7,plain,
! [X2] :
( g(X2)
| h(X2)
| ~ f(X2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
! [X1] :
( ~ f(X1)
| ~ h(X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
f(sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f10,plain,
~ g(sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f11,plain,
~ f(sK0),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f12,plain,
! [X0] :
( f(X0)
| ~ h(X0) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f13,plain,
! [X0] :
( g(X0)
| h(X0)
| f(X0) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f16,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f10,f11,f12,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN407+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n017.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 15:49:51 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.26 % (3668182)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (3668187)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=840332309_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % Detected minimum model sizes of [1]
% 0.08/0.26 % Detected maximum model sizes of [1]
% 0.08/0.26 % TRYING [1]
% 0.08/0.26 % (3668187) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3668182-3668187"...
% 0.08/0.26 % (3668187)...printing done.
% 0.08/0.26 % (3668187)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (3668187)------------------------------
% 0.08/0.26 % (3668187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (3668187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (3668187)CaDiCaL version: 2.1.3
% 0.08/0.26 % (3668187)Termination reason: Refutation
% 0.08/0.26 % (3668187)Time elapsed: 0.001 s
% 0.08/0.26 % (3668187)Peak memory usage: 11 MB
% 0.08/0.26 % (3668182)Success in time 0.025 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------