%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO076^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 : Wed Sep 30 08:48:55 AM UTC 2026
% Result : Theorem 0.10s 0.25s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 73 ( 20 equ)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 31 ( 11 ~; 4 |; 8 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 40 ( 40 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 4 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
cQ: $o ).
tff(func_def_1,type,
cP: $o ).
tff(f1,conjecture,
( ( ( cP
=> cQ )
& cP )
=> cQ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM114) ).
tff(f2,negated_conjecture,
~ ( ( ( cP
=> cQ )
& cP )
=> cQ ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ( cP
=> cQ )
& cP )
=> cQ ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ( ( ( ( cP = $true )
=> ( cQ = $true ) )
& ( cP = $true ) )
=> ( cQ = $true ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
( ( cQ != $true )
& ( ( cQ = $true )
| ( cP != $true ) )
& ( cP = $true ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
( ( cQ != $true )
& ( ( cQ = $true )
| ( cP != $true ) )
& ( cP = $true ) ),
inference(flattening,[],[f5]) ).
tff(f7,plain,
cP = $true,
inference(cnf_transformation,[],[f6]) ).
tff(f8,plain,
( ( cQ = $true )
| ( cP != $true ) ),
inference(cnf_transformation,[],[f6]) ).
tff(f9,plain,
cQ != $true,
inference(cnf_transformation,[],[f6]) ).
tff(f12,plain,
( ( cQ = $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f8,f7]) ).
tff(f13,plain,
cQ = $true,
inference(trivial_inequality_removal,[],[f12]) ).
tff(f14,plain,
$true != $true,
inference(superposition,[],[f9,f13]) ).
tff(f15,plain,
$false,
inference(trivial_inequality_removal,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO076^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n015.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 16:36:03 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 0.10/0.25 % (3749683)Will run a generic schedule for satisfiability detection.
% 0.10/0.25 % (3749696)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2097043549:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.10/0.25 % (3749696) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3749683-3749696"...
% 0.10/0.25 % (3749696)...printing done.
% 0.10/0.25 % (3749696)Refutation found. Thanks to Tanya!
% 0.10/0.25 % SZS status Theorem for theBenchmark
% 0.10/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.25 % (3749696)------------------------------
% 0.10/0.25 % (3749696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.25 % (3749696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.25 % (3749696)CaDiCaL version: 2.1.3
% 0.10/0.25 % (3749696)Termination reason: Refutation
% 0.10/0.25 % (3749696)Time elapsed: 0.001 s
% 0.10/0.25 % (3749696)Peak memory usage: 12 MB
% 0.10/0.25 % (3749683)Success in time 0.016 s
% 0.10/0.25 % Vampire exiting
%------------------------------------------------------------------------------