%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN391+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 02:07:34 PM UTC 2026
% Result : Theorem 0.07s 0.22s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 1 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 55 ( 23 ~; 20 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 3 ( 2 usr; 3 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ( p1
| p2 )
& ( ~ p1
| p2 )
& ( p1
| ~ p2 ) )
=> ~ ( ~ p1
| ~ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel9) ).
fof(f2,negated_conjecture,
~ ( ( ( p1
| p2 )
& ( ~ p1
| p2 )
& ( p1
| ~ p2 ) )
=> ~ ( ~ p1
| ~ p2 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ~ p1
| ~ p2 )
& ( p1
| p2 )
& ( ~ p1
| p2 )
& ( p1
| ~ p2 ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ( ~ p1
| ~ p2 )
& ( p1
| p2 )
& ( ~ p1
| p2 )
& ( p1
| ~ p2 ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( p1
| ~ p2 ),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
( ~ p1
| p2 ),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
( p1
| p2 ),
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
( ~ p1
| ~ p2 ),
inference(cnf_transformation,[],[f4]) ).
fof(f9,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f8,f7,f6,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN391+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.16 % Computer : n004.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 15:53:43 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 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
% 0.07/0.22 % (485087)Will run a generic schedule for satisfiability detection.
% 0.07/0.22 % (485092)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1190478588_3000 on theBenchmark for (3000ds/0Mi)
% 0.07/0.22 % The problem is propositional so there are no sorts!
% 0.07/0.22 % TRYING []
% 0.07/0.22 % (485092) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-485087-485092"...
% 0.07/0.22 % (485092)...printing done.
% 0.07/0.22 % (485092)Refutation found. Thanks to Tanya!
% 0.07/0.22 % SZS status Theorem for theBenchmark
% 0.07/0.22 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.22 % (485092)------------------------------
% 0.07/0.22 % (485092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.22 % (485092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.22 % (485092)CaDiCaL version: 2.1.3
% 0.07/0.22 % (485092)Termination reason: Refutation
% 0.07/0.22 % (485092)Time elapsed: 0.0000 s
% 0.07/0.22 % (485092)Peak memory usage: 11 MB
% 0.07/0.22 % (485087)Success in time 0.014 s
% 0.07/0.22 % Vampire exiting
%------------------------------------------------------------------------------