%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO214^5 : 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 : n013.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 08:47:12 AM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 19 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 38 ( 7 ~; 0 |; 6 &; 17 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 12 !; 6 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
sK0: $i > $o ).
thf(func_def_4,type,
sK1: $i > $o ).
thf(func_def_6,type,
vNOT: $o > $o ).
thf(f1,conjecture,
! [X0: $i > $o,X1: $i > $o] :
( ( X0 = X1 )
=> ! [X2: $i] :
( ( X1 @ X2 )
=> ( X0 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM12) ).
thf(f2,negated_conjecture,
~ ! [X0: $i > $o,X1: $i > $o] :
( ( X0 = X1 )
=> ! [X2: $i] :
( ( X1 @ X2 )
=> ( X0 @ X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: $i > $o,X1: $i > $o] :
( ( X0 = X1 )
=> ! [X2: $i] :
( ( X1 @ X2 )
=> ( X0 @ X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: $i > $o,X1: $i > $o] :
( ( X0 = X1 )
=> ! [X2: $i] :
( ( ( X1 @ X2 )
= $true )
=> ( ( X0 @ X2 )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X1: $i > $o,X0: $i > $o] :
( ? [X2: $i] :
( ( ( X0 @ X2 )
!= $true )
& ( ( X1 @ X2 )
= $true ) )
& ( X0 = X1 ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: $i > $o,X1: $i > $o] :
( ? [X2: $i] :
( ( ( X1 @ X2 )
!= $true )
& ( ( X0 @ X2 )
= $true ) )
& ( X0 = X1 ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ( $true
!= ( sK1 @ sK2 ) )
& ( $true
= ( sK0 @ sK2 ) )
& ( sK0 = sK1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f6]) ).
thf(f8,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
( $true
= ( sK0 @ sK2 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f10,plain,
( $true
!= ( sK1 @ sK2 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f13,plain,
( $true
= ( sK1 @ sK2 ) ),
inference(definition_unfolding,[],[f9,f8]) ).
thf(f14,plain,
$false,
inference(forward_subsumption_resolution,[],[f10,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO214^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n013.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 16:39:06 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running higher-order theorem proving
% 0.09/0.21 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
% 0.09/0.25 % (2349812)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.25 % (2349818)lrs+10_16_si=on:nwc=1.5:random_seed=4279999687:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.09/0.25 % (2349818) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2349812-2349818"...
% 0.09/0.25 % (2349818)...printing done.
% 0.09/0.25 % (2349818)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (2349818)------------------------------
% 0.09/0.25 % (2349818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (2349818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (2349818)CaDiCaL version: 2.1.3
% 0.09/0.25 % (2349818)Termination reason: Refutation
% 0.09/0.25 % (2349818)Time elapsed: 0.001 s
% 0.09/0.25 % (2349818)Peak memory usage: 12 MB
% 0.09/0.25 % (2349812)Success in time 0.026 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------