%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN397+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 : n004.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 02:07:45 PM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 1 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 29 ( 15 ~; 8 |; 3 &)
% ( 2 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 ( 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ~ ? [X0] : f(X0)
<=> ! [X1] : ~ f(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish204) ).
fof(f2,negated_conjecture,
~ ( ~ ? [X0] : f(X0)
<=> ! [X1] : ~ f(X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X0] : ~ f(X0)
<~> ! [X1] : ~ f(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ( ? [X1] : f(X1)
| ? [X0] : f(X0) )
& ( ! [X1] : ~ f(X1)
| ! [X0] : ~ f(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ? [X0] : f(X0)
| ? [X1] : f(X1) )
& ( ! [X2] : ~ f(X2)
| ! [X3] : ~ f(X3) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( ( f(sK0)
| f(sK1) )
& ( ! [X2] : ~ f(X2)
| ! [X3] : ~ f(X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f5]) ).
fof(f7,plain,
! [X2,X3] :
( ~ f(X2)
| ~ f(X3) ),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
( f(sK0)
| f(sK1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f8,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN397+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:53:52 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.26 % (485679)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (485684)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2651380381_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26 % Detected minimum model sizes of [1]
% 0.09/0.26 % Detected maximum model sizes of [2]
% 0.09/0.26 % TRYING [1]
% 0.09/0.26 % TRYING [2]
% 0.09/0.26 % (485684) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-485679-485684"...
% 0.09/0.26 % (485684)...printing done.
% 0.09/0.26 % (485684)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (485684)------------------------------
% 0.09/0.26 % (485684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (485684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (485684)CaDiCaL version: 2.1.3
% 0.09/0.26 % (485684)Termination reason: Refutation
% 0.09/0.26 % (485684)Time elapsed: 0.001 s
% 0.09/0.26 % (485684)Peak memory usage: 11 MB
% 0.09/0.26 % (485679)Success in time 0.033 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------