%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO348^5 : 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 : n015.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 08:47:29 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 13 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 36 ( 6 ~; 0 |; 4 &; 15 @)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 ^; 4 !; 1 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
b: $o ).
thf(func_def_1,type,
a: $o ).
thf(func_def_5,type,
sK0: $o > $o ).
thf(func_def_6,type,
vNOT: $o > $o ).
thf(f1,conjecture,
( ( a
<=> b )
=> ! [X0: $o > $o] :
( ( X0 @ a )
=> ( X0 @ b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cE1EXT) ).
thf(f2,negated_conjecture,
~ ( ( a
<=> b )
=> ! [X0: $o > $o] :
( ( X0 @ a )
=> ( X0 @ b ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( a
<=> b )
=> ! [X0: $o > $o] :
( ( X0 @ a )
=> ( X0 @ b ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( a = b )
=> ! [X0: $o > $o] :
( ( ( X0 @ a )
= $true )
=> ( ( X0 @ b )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ? [X0: $o > $o] :
( ( ( X0 @ a )
= $true )
& ( ( X0 @ b )
!= $true ) )
& ( a = b ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ( ( sK0 @ a )
= $true )
& ( ( sK0 @ b )
!= $true )
& ( a = b ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f5]) ).
thf(f7,plain,
a = b,
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
( ( sK0 @ b )
!= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
( ( sK0 @ a )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f12,plain,
( ( sK0 @ b )
= $true ),
inference(definition_unfolding,[],[f9,f7]) ).
thf(f13,plain,
$false,
inference(forward_subsumption_resolution,[],[f12,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO348^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n015.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 16:51:18 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.22 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 % (3784016)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.26 % (3784021)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1996552242:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.09/0.26 % (3784021) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3784016-3784021"...
% 0.09/0.26 % (3784021)...printing done.
% 0.09/0.26 % (3784021)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 % (3784021)------------------------------
% 0.09/0.26 % (3784021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (3784021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (3784021)CaDiCaL version: 2.1.3
% 0.09/0.26 % (3784021)Termination reason: Refutation
% 0.09/0.26 % (3784021)Time elapsed: 0.001 s
% 0.09/0.26 % (3784021)Peak memory usage: 12 MB
% 0.09/0.26 % (3784016)Success in time 0.026 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------