%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO185^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 08:47:09 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 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 7 equ)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 11 ( 6 ~; 0 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 14 ( 14 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 : 2 ( 0 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
y: $o ).
tff(f1,conjecture,
? [X0: $o] :
( y
=> y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCT17) ).
tff(f2,negated_conjecture,
~ ? [X0: $o] :
( y
=> y ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( y
=> y ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ( ( y = $true )
=> ( y = $true ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
( ( y != $true )
& ( y = $true ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
y = $true,
inference(cnf_transformation,[],[f5]) ).
tff(f7,plain,
y != $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 : SYO185^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:33:55 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.28 % (563152)Detected formulas, will run a generic FOF schedule.
% 0.22/0.28 % (563161)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=2256799719:i=114:bd=all:ss=axioms:sgt=4_2999 on theBenchmark for (2999ds/114Mi)
% 0.22/0.28 % (563161) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-563152-563161"...
% 0.22/0.28 % (563161)...printing done.
% 0.22/0.28 % (563161)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 % (563161)------------------------------
% 0.22/0.28 % (563161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (563161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (563161)CaDiCaL version: 2.1.3
% 0.22/0.28 % (563161)Termination reason: Refutation
% 0.22/0.28 % (563161)Time elapsed: 0.0000 s
% 0.22/0.28 % (563161)Peak memory usage: 11 MB
% 0.22/0.28 % (563152)Success in time 0.026 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------