%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO196^5 : 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 : n003.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 08:47:10 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 6 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 43 ( 14 ~; 0 |; 6 &; 18 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 7 usr; 4 con; 0-4 aty)
% ( 5 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 16 ( 6 ^; 6 !; 4 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_2,type,
vAND: $o > $o > $o ).
thf(func_def_3,type,
vNOT: $o > $o ).
thf(func_def_4,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_5,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_8,type,
sK0: $o ).
thf(f1,conjecture,
? [X0: $o > $o] :
( X0
@ ! [X1: $o] :
( X1
& ~ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCT21) ).
thf(f2,negated_conjecture,
~ ? [X0: $o > $o] :
( X0
@ ! [X1: $o] :
( X1
& ~ X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ? [X0: $o > $o] :
( X0
@ ! [X1: $o] :
( X1
& ~ X1 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ? [X0: $o > $o] :
( $true
= ( X0
@ ( !! @ $o
@ ^ [Y0: $o] :
( ~ Y0
& Y0 ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
! [X0: $o > $o] :
( $true
!= ( X0
@ ( !! @ $o
@ ^ [Y0: $o] :
( ~ Y0
& Y0 ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
! [X0: $o > $o] :
( $true
!= ( X0
@ ( !! @ $o
@ ^ [Y0: $o] :
( ~ Y0
& Y0 ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f9,plain,
! [X0: $o > $o] :
( $true
!= ( X0
@ ( !! @ $o
@ ^ [Y0: $o] : $false ) ) ),
inference(boolean_simplification,[],[f6]) ).
thf(f11,plain,
( $true
!= ( ^ [Y0: $o] : $true
@ ( !! @ $o
@ ^ [Y0: $o] : $false ) ) ),
inference(primitive_instantiation,[],[f9]) ).
thf(f21,plain,
$true != $true,
inference(beta-eta_normalization,[],[f11]) ).
thf(f22,plain,
$false,
inference(trivial_inequality_removal,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO196^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n003.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 16:40:44 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 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
% 0.09/0.26 % (2723299)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.26 % (2723309)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2736356939:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.09/0.26 % (2723309) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2723299-2723309"...
% 0.09/0.26 % (2723309)...printing done.
% 0.09/0.26 % (2723309)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (2723309)------------------------------
% 0.09/0.26 % (2723309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (2723309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (2723309)CaDiCaL version: 2.1.3
% 0.09/0.26 % (2723309)Termination reason: Refutation
% 0.09/0.26 % (2723309)Time elapsed: 0.001 s
% 0.09/0.26 % (2723309)Peak memory usage: 12 MB
% 0.09/0.26 % (2723299)Success in time 0.028 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------