%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET590^5 : 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 08:23:18 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 8 unt; 0 typ; 1 def)
% Number of atoms : 49 ( 18 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 62 ( 18 ~; 0 |; 11 &; 27 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 15 !; 6 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
sK0: a ).
thf(func_def_4,type,
sK1: a > $o ).
thf(func_def_5,type,
sK2: a > $o ).
thf(f1,conjecture,
! [X2: a,X1: a > $o,X0: a > $o] :
( ( ~ ( X1 @ X2 )
& ( X0 @ X2 ) )
=> ( X0 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_49_pme) ).
thf(f2,negated_conjecture,
~ ! [X2: a,X1: a > $o,X0: a > $o] :
( ( ~ ( X1 @ X2 )
& ( X0 @ X2 ) )
=> ( X0 @ X2 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a,X1: a > $o,X2: a > $o] :
( ( ~ ( X1 @ X0 )
& ( X2 @ X0 ) )
=> ( X2 @ X0 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: a,X1: a > $o,X2: a > $o] :
( ( ( ( X1 @ X0 )
!= $true )
& ( $true
= ( X2 @ X0 ) ) )
=> ( $true
= ( X2 @ X0 ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
~ ! [X1: a > $o,X2: a > $o,X0: a] :
( ( ( ( X1 @ X0 )
!= $true )
& ( $true
= ( X2 @ X0 ) ) )
=> ( $true
= ( X2 @ X0 ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
? [X1: a > $o,X2: a > $o,X0: a] :
( ( $true
!= ( X2 @ X0 ) )
& ( ( X1 @ X0 )
!= $true )
& ( $true
= ( X2 @ X0 ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f7,plain,
? [X0: a,X1: a > $o,X2: a > $o] :
( ( $true
= ( X2 @ X0 ) )
& ( ( X1 @ X0 )
!= $true )
& ( $true
!= ( X2 @ X0 ) ) ),
inference(flattening,[],[f6]) ).
thf(f8,plain,
( ( $true
= ( sK2 @ sK0 ) )
& ( $true
!= ( sK1 @ sK0 ) )
& ( $true
!= ( sK2 @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f7]) ).
thf(f9,plain,
( $true
!= ( sK2 @ sK0 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f11,plain,
( $true
= ( sK2 @ sK0 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f14,definition,
( spl3_1
<=> ( $true
= ( sK2 @ sK0 ) ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
thf(f17,plain,
spl3_1,
inference(avatar_split_clause,[],[f11,f14]) ).
thf(f23,plain,
~ spl3_1,
inference(avatar_split_clause,[],[f9,f14]) ).
cnf(s1,plain,
spl3_1,
inference(sat_conversion,[],[f17]) ).
cnf(s3,plain,
~ spl3_1,
inference(sat_conversion,[],[f23]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3]) ).
thf(f24,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET590^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 13:38:33 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 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
% 0.22/0.28 % (774981)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.28 % (774989)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=140332859:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.22/0.28 % (774989) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-774981-774989"...
% 0.22/0.28 % (774989)...printing done.
% 0.22/0.28 % (774989)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Theorem for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.28 % (774989)------------------------------
% 0.22/0.28 % (774989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (774989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (774989)CaDiCaL version: 2.1.3
% 0.22/0.28 % (774989)Termination reason: Refutation
% 0.22/0.28 % (774989)Time elapsed: 0.001 s
% 0.22/0.28 % (774989)Peak memory usage: 12 MB
% 0.22/0.28 % (774989)Instructions burned: 1 (million)
% 0.22/0.28 % (774981)Success in time 0.031 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------