%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO232^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 08:47:15 AM UTC 2026
% Result : Theorem 0.27s 0.33s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 18 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 41 ( 9 ~; 2 |; 4 &; 14 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 7 ( 0 ^; 3 !; 4 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cP: a > $o ).
thf(func_def_1,type,
x: a ).
thf(func_def_2,type,
cB: $o ).
thf(f1,conjecture,
( ( ( y = y )
=> cB )
=> ( ( cP @ x )
=> ? [X0: a] : ( cP @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cADDHYP4) ).
thf(f2,negated_conjecture,
~ ( ( ( y = y )
=> cB )
=> ( ( cP @ x )
=> ? [X0: a] : ( cP @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ( y = y )
=> cB )
=> ( ( cP @ x )
=> ? [X0: a] : ( cP @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( y = y )
=> ( cB = $true ) )
=> ( ( ( cP @ x )
= $true )
=> ? [X0: a] :
( ( cP @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ! [X0: a] :
( ( cP @ X0 )
!= $true )
& ( ( cP @ x )
= $true )
& ( ( y != y )
| ( cB = $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ( ( cP @ x )
= $true )
& ! [X0: a] :
( ( cP @ X0 )
!= $true )
& ( ( y != y )
| ( cB = $true ) ) ),
inference(flattening,[],[f5]) ).
thf(f8,plain,
! [X0: a] :
( ( cP @ X0 )
!= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
( ( cP @ x )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f13,plain,
$true != $true,
inference(constrained_superposition,[],[f8,f9]) ).
thf(f14,plain,
$false,
inference(trivial_inequality_removal,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO232^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n002.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Tue Sep 29 16:43:07 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.28 Running higher-order theorem proving
% 0.27/0.30 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.27/0.33 % (1525943)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.27/0.33 % (1525949)lrs+10_16_si=on:nwc=1.5:random_seed=2025069274:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.27/0.33 % (1525949) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1525943-1525949"...
% 0.27/0.33 % (1525950)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=542271543:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.27/0.33 % (1525949)...printing done.
% 0.27/0.33 % (1525949)Refutation found. Thanks to Tanya!
% 0.27/0.33 % SZS status Theorem for theBenchmark
% 0.27/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.33 % (1525949)------------------------------
% 0.27/0.33 % (1525949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.33 % (1525949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.33 % (1525949)CaDiCaL version: 2.1.3
% 0.27/0.33 % (1525949)Termination reason: Refutation
% 0.27/0.33 % (1525949)Time elapsed: 0.001 s
% 0.27/0.33 % (1525949)Peak memory usage: 12 MB
% 0.27/0.33 % (1525943)Success in time 0.024 s
% 0.27/0.33 % Vampire exiting
%------------------------------------------------------------------------------