%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN932+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 02:22:53 PM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 1 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 19 ( 8 ~; 6 |; 1 &)
% ( 3 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 2 ( 1 usr; 2 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 2 ( 0 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ? [X0] : c
<=> c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ? [X0] : c
<=> c ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( c
<=> c ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( c
<~> c ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ~ c
| ~ c )
& ( c
| c ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f6,plain,
( c
| c ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
( ~ c
| ~ c ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
( c
| c ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f9,plain,
( ~ c
| ~ c ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f10,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f8,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN932+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n009.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 17:14:01 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.27 % (3223866)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (3223871)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3488770942_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % The problem is propositional so there are no sorts!
% 0.20/0.27 % TRYING []
% 0.20/0.27 % (3223871) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3223866-3223871"...
% 0.20/0.27 % (3223871)...printing done.
% 0.20/0.27 % (3223871)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 % (3223871)------------------------------
% 0.20/0.27 % (3223871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3223871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3223871)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3223871)Termination reason: Refutation
% 0.20/0.27 % (3223871)Time elapsed: 0.0000 s
% 0.20/0.27 % (3223871)Peak memory usage: 11 MB
% 0.20/0.27 % (3223866)Success in time 0.021 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------