%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET634+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 : Tue Sep 29 12:41:29 PM UTC 2026
% Result : Theorem 2.63s 1.28s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 106 ( 14 unt; 11 def)
% Number of atoms : 261 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 249 ( 94 ~; 117 |; 21 &)
% ( 16 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 73 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f3,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f4,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f9,conjecture,
! [X0,X1,X2] : intersection(X0,difference(X1,X2)) = difference(intersection(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_and_intersection) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2] : intersection(X0,difference(X1,X2)) = difference(intersection(X0,X1),X2),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f12,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f13,plain,
? [X0,X1,X2] : intersection(X0,difference(X1,X2)) != difference(intersection(X0,X1),X2),
inference(ennf_transformation,[],[f10]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f21,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f20]) ).
fof(f25,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f26,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f26]) ).
fof(f28,plain,
intersection(sK3,difference(sK4,sK5)) != difference(intersection(sK3,sK4),sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f13]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f36,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f39,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f46,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f49,plain,
intersection(sK3,difference(sK4,sK5)) != difference(intersection(sK3,sK4),sK5),
inference(cnf_transformation,[],[f28]) ).
fof(f54,definition,
! [X0,X1] :
( sQ6_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ6_eqProxy])],[equality_proxy_definition]) ).
fof(f57,plain,
! [X0,X1] :
( sQ6_eqProxy(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(equality_proxy_replacement,[],[f39,f54]) ).
fof(f61,plain,
~ sQ6_eqProxy(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),
inference(equality_proxy_replacement,[],[f49,f54]) ).
fof(f69,plain,
( ~ subset(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5))
| ~ subset(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))) ),
inference(resolution,[],[f57,f61]) ).
fof(f72,definition,
( spl7_1
<=> subset(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f73,plain,
( ~ subset(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5))
| spl7_1 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,definition,
( spl7_2
<=> subset(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f76,plain,
( ~ subset(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5)))
| spl7_2 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
( ~ spl7_2
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f69,f72,f75]) ).
fof(f79,plain,
( ~ member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),difference(intersection(sK3,sK4),sK5))
| spl7_1 ),
inference(resolution,[],[f73,f47]) ).
fof(f80,plain,
( member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),intersection(sK3,difference(sK4,sK5)))
| spl7_1 ),
inference(resolution,[],[f73,f46]) ).
fof(f83,plain,
( member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),sK3)
| spl7_1 ),
inference(resolution,[],[f80,f32]) ).
fof(f84,plain,
( member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),difference(sK4,sK5))
| spl7_1 ),
inference(resolution,[],[f80,f31]) ).
fof(f85,plain,
( member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),sK4)
| spl7_1 ),
inference(resolution,[],[f84,f35]) ).
fof(f89,plain,
( ~ member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),intersection(sK3,sK4))
| member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),sK5)
| spl7_1 ),
inference(resolution,[],[f36,f79]) ).
fof(f91,definition,
( spl7_3
<=> member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),sK5) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f92,plain,
( member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),sK5)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,definition,
( spl7_4
<=> member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),intersection(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f95,plain,
( ~ member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),intersection(sK3,sK4))
| spl7_4 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f96,plain,
( spl7_3
| ~ spl7_4
| spl7_1 ),
inference(avatar_split_clause,[],[f89,f72,f94,f91]) ).
fof(f97,plain,
( ~ member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),sK3)
| ~ member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),sK4)
| spl7_4 ),
inference(resolution,[],[f95,f33]) ).
fof(f99,definition,
( spl7_5
<=> member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),sK4) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f100,plain,
( ~ member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),sK4)
| spl7_5 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,definition,
( spl7_6
<=> member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),sK3) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f103,plain,
( ~ member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),sK3)
| spl7_6 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f104,plain,
( ~ spl7_5
| ~ spl7_6
| spl7_4 ),
inference(avatar_split_clause,[],[f97,f94,f102,f99]) ).
fof(f105,plain,
( $false
| spl7_1
| spl7_5 ),
inference(resolution,[],[f100,f85]) ).
fof(f106,plain,
( spl7_1
| spl7_5 ),
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f107,plain,
( $false
| spl7_1
| spl7_6 ),
inference(resolution,[],[f103,f83]) ).
fof(f108,plain,
( spl7_1
| spl7_6 ),
inference(avatar_contradiction_clause,[],[f107]) ).
fof(f109,plain,
( ~ member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),intersection(sK3,difference(sK4,sK5)))
| spl7_2 ),
inference(resolution,[],[f76,f47]) ).
fof(f110,plain,
( member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),difference(intersection(sK3,sK4),sK5))
| spl7_2 ),
inference(resolution,[],[f76,f46]) ).
fof(f111,plain,
( ~ member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),sK3)
| ~ member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),difference(sK4,sK5))
| spl7_2 ),
inference(resolution,[],[f109,f33]) ).
fof(f113,definition,
( spl7_7
<=> member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),difference(sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f114,plain,
( ~ member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),difference(sK4,sK5))
| spl7_7 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,definition,
( spl7_8
<=> member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),sK3) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f117,plain,
( ~ member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),sK3)
| spl7_8 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f118,plain,
( ~ spl7_7
| ~ spl7_8
| spl7_2 ),
inference(avatar_split_clause,[],[f111,f75,f116,f113]) ).
fof(f119,plain,
( member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),intersection(sK3,sK4))
| spl7_2 ),
inference(resolution,[],[f110,f35]) ).
fof(f120,plain,
( ~ member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),sK5)
| spl7_2 ),
inference(resolution,[],[f110,f34]) ).
fof(f121,plain,
( ~ member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),sK4)
| member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),sK5)
| spl7_7 ),
inference(resolution,[],[f114,f36]) ).
fof(f123,definition,
( spl7_9
<=> member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),sK5) ),
introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).
fof(f124,plain,
( member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),sK5)
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,definition,
( spl7_10
<=> member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),sK4) ),
introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).
fof(f127,plain,
( ~ member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),sK4)
| spl7_10 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f128,plain,
( spl7_9
| ~ spl7_10
| spl7_7 ),
inference(avatar_split_clause,[],[f121,f113,f126,f123]) ).
fof(f139,plain,
( member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),sK3)
| spl7_2 ),
inference(resolution,[],[f119,f32]) ).
fof(f140,plain,
( member(sK2(difference(intersection(sK3,sK4),sK5),intersection(sK3,difference(sK4,sK5))),sK4)
| spl7_2 ),
inference(resolution,[],[f119,f31]) ).
fof(f149,plain,
( $false
| spl7_2
| spl7_10 ),
inference(resolution,[],[f140,f127]) ).
fof(f151,plain,
( spl7_2
| spl7_10 ),
inference(avatar_contradiction_clause,[],[f149]) ).
fof(f152,plain,
( $false
| spl7_2
| ~ spl7_9 ),
inference(resolution,[],[f124,f120]) ).
fof(f154,plain,
( spl7_2
| ~ spl7_9 ),
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f155,plain,
( $false
| spl7_2
| spl7_8 ),
inference(resolution,[],[f117,f139]) ).
fof(f157,plain,
( spl7_2
| spl7_8 ),
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f159,plain,
( member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),intersection(sK3,difference(sK4,sK5)))
| spl7_1 ),
inference(resolution,[],[f73,f46]) ).
fof(f163,plain,
( member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),difference(sK4,sK5))
| spl7_1 ),
inference(resolution,[],[f159,f31]) ).
fof(f165,plain,
( ~ member(sK2(intersection(sK3,difference(sK4,sK5)),difference(intersection(sK3,sK4),sK5)),sK5)
| spl7_1 ),
inference(resolution,[],[f163,f34]) ).
fof(f175,plain,
( $false
| spl7_1
| ~ spl7_3 ),
inference(resolution,[],[f165,f92]) ).
fof(f177,plain,
( spl7_1
| ~ spl7_3 ),
inference(avatar_contradiction_clause,[],[f175]) ).
cnf(s2,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(sat_conversion,[],[f78]) ).
cnf(s3,plain,
( spl7_1
| spl7_3
| ~ spl7_4 ),
inference(sat_conversion,[],[f96]) ).
cnf(s4,plain,
( spl7_4
| ~ spl7_5
| ~ spl7_6 ),
inference(sat_conversion,[],[f104]) ).
cnf(s5,plain,
( spl7_1
| spl7_5 ),
inference(sat_conversion,[],[f106]) ).
cnf(s6,plain,
( spl7_1
| spl7_6 ),
inference(sat_conversion,[],[f108]) ).
cnf(s7,plain,
( spl7_2
| ~ spl7_7
| ~ spl7_8 ),
inference(sat_conversion,[],[f118]) ).
cnf(s8,plain,
( spl7_7
| spl7_9
| ~ spl7_10 ),
inference(sat_conversion,[],[f128]) ).
cnf(s9,plain,
( spl7_2
| spl7_10 ),
inference(sat_conversion,[],[f151]) ).
cnf(s10,plain,
( spl7_2
| ~ spl7_9 ),
inference(sat_conversion,[],[f154]) ).
cnf(s11,plain,
( spl7_2
| spl7_8 ),
inference(sat_conversion,[],[f157]) ).
cnf(s12,plain,
( spl7_1
| ~ spl7_3 ),
inference(sat_conversion,[],[f177]) ).
cnf(s13,plain,
spl7_1,
inference(rat,[],[s4,s3,s5,s6,s12]) ).
cnf(s14,plain,
~ spl7_2,
inference(rat,[],[s2,s13]) ).
cnf(s15,plain,
spl7_8,
inference(rat,[],[s11,s14]) ).
cnf(s16,plain,
~ spl7_9,
inference(rat,[],[s10,s14]) ).
cnf(s17,plain,
spl7_10,
inference(rat,[],[s9,s14]) ).
cnf(s18,plain,
~ spl7_7,
inference(rat,[],[s7,s15,s14]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s8,s17,s16,s18]) ).
fof(f178,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET634+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 02:22:55 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.63/1.28 % (3530245)Detected formulas, will run a generic FOF schedule.
% 2.63/1.28 % (3530254)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1080191966:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.63/1.28 % (3530254)Instruction limit reached!
% 2.63/1.28 % (3530254)------------------------------
% 2.63/1.28 % (3530254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.28 % (3530254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.28 % (3530254)CaDiCaL version: 2.1.3
% 2.63/1.28 % (3530254)Termination reason: Instruction limit
% 2.63/1.28 % (3530254)Termination phase: Saturation
% 2.63/1.28 % (3530254)Time elapsed: 0.037 s
% 2.63/1.28 % (3530254)Peak memory usage: 88 MB
% 2.63/1.28 % (3530254)Instructions burned: 120 (million)
% 2.63/1.28 % (3530250)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2954814343:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.63/1.28 % (3530251)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3012194474:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.63/1.28 % (3530252)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3406829312:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.63/1.28 % (3530253)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1546416802:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.63/1.28 % (3530253)Refutation not found, incomplete strategy
% 2.63/1.28 % (3530253)------------------------------
% 2.63/1.28 % (3530253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.28 % (3530253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.28 % (3530253)CaDiCaL version: 2.1.3
% 2.63/1.28 % (3530253)Termination reason: Refutation not found, incomplete strategy
% 2.63/1.28 % (3530253)Time elapsed: 0.002 s
% 2.63/1.28 % (3530253)Peak memory usage: 88 MB
% 2.63/1.28 % (3530253)Instructions burned: 1 (million)
% 2.63/1.28 % (3530256)dis-21_1_sil=8000:lcm=predicate:random_seed=740229659:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.63/1.28 % (3530255)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3552894189:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.63/1.28 % (3530256)First to succeed.
% 2.63/1.28 % (3530256)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3530245"
% 2.63/1.28 % (3530255)Instruction limit reached!
% 2.63/1.28 % (3530255)------------------------------
% 2.63/1.28 % (3530255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.28 % (3530255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.28 % (3530255)CaDiCaL version: 2.1.3
% 2.63/1.28 % (3530255)Termination reason: Instruction limit
% 2.63/1.28 % (3530255)Termination phase: Saturation
% 2.63/1.28 % (3530255)Time elapsed: 0.090 s
% 2.63/1.28 % (3530255)Peak memory usage: 89 MB
% 2.63/1.28 % (3530255)Instructions burned: 141 (million)
% 2.63/1.28 % (3530262)lrs+10_1_sil=8000:sp=occurrence:random_seed=4006245296:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.63/1.28 % (3530262)Instruction limit reached!
% 2.63/1.28 % (3530262)------------------------------
% 2.63/1.28 % (3530262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.28 % (3530262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.28 % (3530262)CaDiCaL version: 2.1.3
% 2.63/1.28 % (3530262)Termination reason: Instruction limit
% 2.63/1.28 % (3530262)Termination phase: Saturation
% 2.63/1.28 % (3530262)Time elapsed: 0.087 s
% 2.63/1.28 % (3530262)Peak memory usage: 90 MB
% 2.63/1.28 % (3530262)Instructions burned: 288 (million)
% 2.63/1.28 % (3530253)------------------------------
% 2.63/1.28 % (3530253)------------------------------
% 2.63/1.28 % (3530256)Refutation found. Thanks to Tanya!
% 2.63/1.28 % SZS status Theorem for theBenchmark
% 2.63/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.47 % (3530256)------------------------------
% 3.67/1.47 % (3530256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.47 % (3530256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.47 % (3530256)CaDiCaL version: 2.1.3
% 3.67/1.47 % (3530256)Termination reason: Refutation
% 3.67/1.47 % (3530256)Time elapsed: 0.005 s
% 3.67/1.47 % (3530256)Peak memory usage: 89 MB
% 3.67/1.47 % (3530256)Instructions burned: 5 (million)
% 3.67/1.47 % (3530256)------------------------------
% 3.67/1.47 % (3530256)------------------------------
% 3.67/1.47 % (3530245)Success in time 0.439 s
% 3.67/1.47 % Vampire exiting
%------------------------------------------------------------------------------