%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET063^5 : 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 : 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 08:23:13 AM UTC 2026
% Result : Theorem 0.25s 0.37s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 21 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 43 ( 14 ~; 2 |; 2 &; 15 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 27 ( 11 ^; 15 !; 1 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_4,type,
sK0: a > $o ).
thf(func_def_5,type,
sK1: a ).
thf(f1,conjecture,
! [X0: a > $o] :
( ! [X1: a] :
( ( X0 @ X1 )
=> $false )
=> ( ( ^ [X1: a] : $false )
= X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_30_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o] :
( ! [X1: a] :
( ( X0 @ X1 )
=> $false )
=> ( ( ^ [X1: a] : $false )
= X0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > $o] :
( ! [X1: a] :
( ( X0 @ X1 )
=> $false )
=> ( ( ^ [X2: a] : $false )
= X0 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: a > $o] :
( ! [X1: a] :
( ( ( X0 @ X1 )
= $true )
=> $false )
=> ( ( ^ [Y0: a] : $false )
= X0 ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
~ ! [X0: a > $o] :
( ! [X1: a] :
( ( X0 @ X1 )
!= $true )
=> ( ( ^ [Y0: a] : $false )
= X0 ) ),
inference(true_and_false_elimination,[],[f4]) ).
thf(f6,plain,
~ ! [X0: a > $o] :
( ! [X1: a] :
( ( X0 @ X1 )
!= $true )
=> ( ( ^ [Y0: a] : $false )
= X0 ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
? [X0: a > $o] :
( ! [X1: a] :
( ( X0 @ X1 )
!= $true )
& ( ( ^ [Y0: a] : $false )
!= X0 ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f8,plain,
( ! [X1: a] :
( $true
!= ( sK0 @ X1 ) )
& ( sK0
!= ( ^ [Y0: a] : $false ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f7]) ).
thf(f9,plain,
( sK0
!= ( ^ [Y0: a] : $false ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f10,plain,
! [X1: a] :
( $true
!= ( sK0 @ X1 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f13,plain,
( ( ^ [Y0: a] : $false
@ sK1 )
!= ( sK0 @ sK1 ) ),
inference(negative_extensionality,[],[f9]) ).
thf(f14,plain,
( ( $true
= ( sK0 @ sK1 ) )
| ( $true
= ( ^ [Y0: a] : $false
@ sK1 ) ) ),
inference(xor_proxy_clausification,[],[f13]) ).
thf(f17,plain,
( ( $true = $false )
| ( $true
= ( sK0 @ sK1 ) ) ),
inference(beta-eta_normalization,[],[f14]) ).
thf(f18,plain,
( $true
= ( sK0 @ sK1 ) ),
inference(trivial_inequality_removal,[],[f17]) ).
thf(f19,plain,
$false,
inference(forward_subsumption_resolution,[],[f18,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET063^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n017.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Tue Sep 29 13:31:52 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.32 Running higher-order theorem proving
% 0.25/0.33 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
% 0.25/0.37 % (336219)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.25/0.37 % (336224)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1456687463:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.25/0.37 % (336224) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-336219-336224"...
% 0.25/0.37 % (336224)...printing done.
% 0.25/0.37 % (336224)Refutation found. Thanks to Tanya!
% 0.25/0.37 % SZS status Theorem for theBenchmark
% 0.25/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.37 % (336224)------------------------------
% 0.25/0.37 % (336224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.37 % (336224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.37 % (336224)CaDiCaL version: 2.1.3
% 0.25/0.37 % (336224)Termination reason: Refutation
% 0.25/0.37 % (336224)Time elapsed: 0.001 s
% 0.25/0.37 % (336224)Peak memory usage: 12 MB
% 0.25/0.37 % (336219)Success in time 0.024 s
% 0.25/0.37 % Vampire exiting
%------------------------------------------------------------------------------