%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO380^5 : 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 : n019.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 08:47:33 AM UTC 2026
% Result : Theorem 0.25s 0.37s
% Output : Refutation 0.25s
% 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 : 34 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 35 ( 6 ~; 0 |; 1 &; 24 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 0 ^; 5 !; 8 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cR: $i > $i > $o ).
thf(f1,conjecture,
? [X0: $i] :
( ( cR @ x @ X0 )
=> ? [X1: $i] : ( cR @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX_2002_12_17_B) ).
thf(f2,negated_conjecture,
~ ? [X0: $i] :
( ( cR @ x @ X0 )
=> ? [X1: $i] : ( cR @ X0 @ X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ? [X0: $i] :
( ( cR @ x @ X0 )
=> ? [X1: $i] : ( cR @ X0 @ X1 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ? [X0: $i] :
( ( ( cR @ x @ X0 )
= $true )
=> ? [X1: $i] :
( ( cR @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
! [X0: $i] :
( ! [X1: $i] :
( ( cR @ X0 @ X1 )
!= $true )
& ( ( cR @ x @ X0 )
= $true ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
! [X0: $i] :
( ( cR @ x @ X0 )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f7,plain,
! [X0: $i,X1: $i] :
( ( cR @ X0 @ X1 )
!= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f10,plain,
$true != $true,
inference(constrained_superposition,[],[f7,f6]) ).
thf(f11,plain,
$false,
inference(trivial_inequality_removal,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO380^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n019.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 16:49:48 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running higher-order theorem proving
% 0.25/0.33 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
% 0.25/0.37 % (1050467)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.25/0.37 % (1050473)lrs+10_16_si=on:nwc=1.5:random_seed=662592262:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.25/0.37 % (1050473) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1050467-1050473"...
% 0.25/0.37 % (1050473)...printing done.
% 0.25/0.37 % (1050473)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 % (1050473)------------------------------
% 0.25/0.37 % (1050473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.37 % (1050473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.37 % (1050473)CaDiCaL version: 2.1.3
% 0.25/0.37 % (1050473)Termination reason: Refutation
% 0.25/0.37 % (1050473)Time elapsed: 0.001 s
% 0.25/0.37 % (1050473)Peak memory usage: 12 MB
% 0.25/0.37 % (1050467)Success in time 0.024 s
% 0.25/0.37 % Vampire exiting
%------------------------------------------------------------------------------