%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO015^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 08:48:43 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 6 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 15 ( 13 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 12 ( 12 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 3 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,
a: $o ).
tff(f1,conjecture,
( a != ( ~ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
tff(f2,negated_conjecture,
~ ( ( a != ( ~ a ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( a != ( ~ a ) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ( a
<~> ~ a ),
inference(flattening,[],[f3]) ).
tff(f5,plain,
( a
<=> ~ a ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
a = $true,
inference(cnf_transformation,[],[f5]) ).
tff(f7,plain,
a != $true,
inference(cnf_transformation,[],[f5]) ).
tff(f10,plain,
$true != $true,
inference(definition_unfolding,[],[f7,f6]) ).
tff(f11,plain,
$false,
inference(trivial_inequality_removal,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO015^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 % Computer : n015.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 16:24:48 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 Running first-order model finding
% 0.10/0.24 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
% 0.22/0.28 % (3731465)Will run a generic schedule for satisfiability detection.
% 0.22/0.28 % (3731471)% WARNING: option uhcvi not known.
% 0.22/0.28 % (3731474)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3697511533:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.28 % (3731470)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2958952429_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.28 % (3731472)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1774508242:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.28 % (3731474) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3731465-3731474"...
% 0.22/0.28 % Detected minimum model sizes of [1]
% 0.22/0.28 % Detected maximum model sizes of [3]
% 0.22/0.28 % TRYING [1]
% 0.22/0.28 % (3731472) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3731465-3731472"...
% 0.22/0.28 % TRYING [2]
% 0.22/0.28 % (3731474)...printing done.
% 0.22/0.28 % (3731470) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3731465-3731470"...
% 0.22/0.28 % (3731474)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Theorem for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.28 % (3731474)------------------------------
% 0.22/0.28 % (3731474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (3731474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (3731474)CaDiCaL version: 2.1.3
% 0.22/0.28 % (3731474)Termination reason: Refutation
% 0.22/0.28 % (3731474)Time elapsed: 0.001 s
% 0.22/0.28 % (3731474)Peak memory usage: 11 MB
% 0.22/0.28 % (3731465)Success in time 0.031 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------