%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN403+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 02:07:46 PM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 44 ( 15 ~; 10 |; 11 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 4 ( 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ( f(X0)
=> g(X0) )
& ( g(X0)
=> h(X0) ) )
=> ( f(X0)
=> h(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish234) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ( f(X0)
=> g(X0) )
& ( g(X0)
=> h(X0) ) )
=> ( f(X0)
=> h(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0] :
( ~ h(X0)
& f(X0)
& ( g(X0)
| ~ f(X0) )
& ( h(X0)
| ~ g(X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
? [X0] :
( ~ h(X0)
& f(X0)
& ( g(X0)
| ~ f(X0) )
& ( h(X0)
| ~ g(X0) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( ~ h(sK0)
& f(sK0)
& ( g(sK0)
| ~ f(sK0) )
& ( h(sK0)
| ~ g(sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f4]) ).
fof(f6,plain,
( h(sK0)
| ~ g(sK0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
( g(sK0)
| ~ f(sK0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
f(sK0),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
~ h(sK0),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
~ f(sK0),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f11,plain,
( ~ g(sK0)
| f(sK0) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f12,plain,
( h(sK0)
| g(sK0) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f21,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f9,f10,f11,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN403+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 : n001.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 16:00:18 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
% 0.08/0.25 % (455977)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (455982)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2205641665_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.25 % Detected minimum model sizes of [1]
% 0.08/0.25 % Detected maximum model sizes of [1]
% 0.08/0.25 % TRYING [1]
% 0.08/0.25 % (455982) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-455977-455982"...
% 0.08/0.25 % (455982)...printing done.
% 0.08/0.25 % (455982)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (455982)------------------------------
% 0.08/0.25 % (455982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (455982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (455982)CaDiCaL version: 2.1.3
% 0.08/0.26 % (455982)Termination reason: Refutation
% 0.08/0.26 % (455982)Time elapsed: 0.001 s
% 0.08/0.26 % (455982)Peak memory usage: 11 MB
% 0.08/0.26 % (455977)Success in time 0.023 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------