%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET582+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 : n010.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 12:41:12 PM UTC 2026
% Result : Theorem 2.92s 1.24s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 104 ( 13 unt; 9 def)
% Number of atoms : 289 ( 16 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 306 ( 121 ~; 133 |; 29 &)
% ( 20 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 86 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_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] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn) ).
fof(f5,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
fof(f9,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f11,conjecture,
! [X0,X1,X2] :
( ! [X3] :
( ~ member(X3,X0)
<=> ( member(X3,X1)
<=> member(X3,X2) ) )
=> X0 = symmetric_difference(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th25) ).
fof(f12,negated_conjecture,
~ ! [X0,X1,X2] :
( ! [X3] :
( ~ member(X3,X0)
<=> ( member(X3,X1)
<=> member(X3,X2) ) )
=> X0 = symmetric_difference(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f14,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f15,plain,
? [X0,X1,X2] :
( symmetric_difference(X1,X2) != X0
& ! [X3] :
( ~ member(X3,X0)
<=> ( member(X3,X1)
<=> member(X3,X2) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f18]) ).
fof(f20,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(f21,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,[],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f22]) ).
fof(f27,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,[],[f14]) ).
fof(f28,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,[],[f27]) ).
fof(f29,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))],[f28]) ).
fof(f30,plain,
? [X0,X1,X2] :
( symmetric_difference(X1,X2) != X0
& ! [X3] :
( ( ~ member(X3,X0)
| ( ( ~ member(X3,X2)
| ~ member(X3,X1) )
& ( member(X3,X2)
| member(X3,X1) ) ) )
& ( ( ( member(X3,X1)
| ~ member(X3,X2) )
& ( member(X3,X2)
| ~ member(X3,X1) ) )
| member(X3,X0) ) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f31,plain,
( sK3 != symmetric_difference(sK4,sK5)
& ! [X3] :
( ( ~ member(X3,sK3)
| ( ( ~ member(X3,sK5)
| ~ member(X3,sK4) )
& ( member(X3,sK5)
| member(X3,sK4) ) ) )
& ( ( ( member(X3,sK4)
| ~ member(X3,sK5) )
& ( member(X3,sK5)
| ~ member(X3,sK4) ) )
| member(X3,sK3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f30]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f35,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f36,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f39,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f40,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf_transformation,[],[f4]) ).
fof(f43,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f51,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f54,plain,
! [X3] :
( member(X3,sK3)
| ~ member(X3,sK4)
| member(X3,sK5) ),
inference(cnf_transformation,[],[f31]) ).
fof(f55,plain,
! [X3] :
( member(X3,sK3)
| ~ member(X3,sK5)
| member(X3,sK4) ),
inference(cnf_transformation,[],[f31]) ).
fof(f56,plain,
! [X3] :
( ~ member(X3,sK3)
| member(X3,sK5)
| member(X3,sK4) ),
inference(cnf_transformation,[],[f31]) ).
fof(f57,plain,
! [X3] :
( ~ member(X3,sK3)
| ~ member(X3,sK5)
| ~ member(X3,sK4) ),
inference(cnf_transformation,[],[f31]) ).
fof(f58,plain,
sK3 != symmetric_difference(sK4,sK5),
inference(cnf_transformation,[],[f31]) ).
fof(f60,plain,
sK3 != union(difference(sK4,sK5),difference(sK5,sK4)),
inference(definition_unfolding,[],[f58,f40]) ).
fof(f65,definition,
! [X0,X1] :
( sQ6_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ6_eqProxy])],[equality_proxy_definition]) ).
fof(f68,plain,
! [X0,X1] :
( sQ6_eqProxy(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(equality_proxy_replacement,[],[f43,f65]) ).
fof(f73,plain,
~ sQ6_eqProxy(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),
inference(equality_proxy_replacement,[],[f60,f65]) ).
fof(f89,plain,
( ~ subset(sK3,union(difference(sK4,sK5),difference(sK5,sK4)))
| ~ subset(union(difference(sK4,sK5),difference(sK5,sK4)),sK3) ),
inference(resolution,[],[f68,f73]) ).
fof(f92,definition,
( spl7_1
<=> subset(sK3,union(difference(sK4,sK5),difference(sK5,sK4))) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f93,plain,
( ~ subset(sK3,union(difference(sK4,sK5),difference(sK5,sK4)))
| spl7_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,definition,
( spl7_2
<=> subset(union(difference(sK4,sK5),difference(sK5,sK4)),sK3) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f96,plain,
( ~ subset(union(difference(sK4,sK5),difference(sK5,sK4)),sK3)
| spl7_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( ~ spl7_2
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f89,f92,f95]) ).
fof(f104,definition,
( spl7_3
<=> member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),sK4) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f107,definition,
( spl7_4
<=> member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),sK5) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f118,definition,
( spl7_5
<=> member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f121,definition,
( spl7_6
<=> member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f131,definition,
( spl7_7
<=> member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f132,plain,
( member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK4,sK5))
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,definition,
( spl7_8
<=> member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK5,sK4)) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f135,plain,
( member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK5,sK4))
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f137,plain,
( ~ member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),union(difference(sK4,sK5),difference(sK5,sK4)))
| spl7_1 ),
inference(resolution,[],[f93,f52]) ).
fof(f144,plain,
( ~ member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),difference(sK5,sK4))
| spl7_1 ),
inference(resolution,[],[f137,f35]) ).
fof(f148,plain,
( ~ member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),sK5)
| member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),sK4)
| spl7_1 ),
inference(resolution,[],[f144,f39]) ).
fof(f149,plain,
( spl7_3
| ~ spl7_4
| spl7_1 ),
inference(avatar_split_clause,[],[f148,f92,f107,f104]) ).
fof(f150,plain,
( ~ member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK3)
| spl7_2 ),
inference(resolution,[],[f96,f52]) ).
fof(f151,plain,
( member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),union(difference(sK4,sK5),difference(sK5,sK4)))
| spl7_2 ),
inference(resolution,[],[f96,f51]) ).
fof(f152,plain,
( ~ member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5)
| member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4)
| spl7_2 ),
inference(resolution,[],[f150,f55]) ).
fof(f153,plain,
( ~ member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4)
| member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5)
| spl7_2 ),
inference(resolution,[],[f150,f54]) ).
fof(f154,plain,
( member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5)
| ~ spl7_8 ),
inference(resolution,[],[f135,f38]) ).
fof(f155,plain,
( ~ member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4)
| ~ spl7_8 ),
inference(resolution,[],[f135,f37]) ).
fof(f156,plain,
( spl7_5
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f154,f134,f118]) ).
fof(f157,plain,
( spl7_5
| ~ spl7_6
| spl7_2 ),
inference(avatar_split_clause,[],[f153,f95,f121,f118]) ).
fof(f158,plain,
( ~ spl7_6
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f155,f134,f121]) ).
fof(f159,plain,
( spl7_6
| ~ spl7_5
| spl7_2 ),
inference(avatar_split_clause,[],[f152,f95,f118,f121]) ).
fof(f160,plain,
( member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK5,sK4))
| member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK4,sK5))
| spl7_2 ),
inference(resolution,[],[f151,f34]) ).
fof(f161,plain,
( spl7_7
| spl7_8
| spl7_2 ),
inference(avatar_split_clause,[],[f160,f95,f134,f131]) ).
fof(f162,plain,
( member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4)
| ~ spl7_7 ),
inference(resolution,[],[f132,f38]) ).
fof(f163,plain,
( ~ member(sK2(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5)
| ~ spl7_7 ),
inference(resolution,[],[f132,f37]) ).
fof(f164,plain,
( ~ spl7_5
| ~ spl7_7 ),
inference(avatar_split_clause,[],[f163,f131,f118]) ).
fof(f165,plain,
( spl7_6
| ~ spl7_7 ),
inference(avatar_split_clause,[],[f162,f131,f121]) ).
fof(f166,plain,
( ~ member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),union(difference(sK4,sK5),difference(sK5,sK4)))
| spl7_1 ),
inference(resolution,[],[f93,f52]) ).
fof(f167,plain,
( member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),sK3)
| spl7_1 ),
inference(resolution,[],[f93,f51]) ).
fof(f168,plain,
( ~ member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),sK5)
| ~ member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),sK4)
| spl7_1 ),
inference(resolution,[],[f167,f57]) ).
fof(f169,plain,
( member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),sK5)
| member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),sK4)
| spl7_1 ),
inference(resolution,[],[f167,f56]) ).
fof(f170,plain,
( spl7_3
| spl7_4
| spl7_1 ),
inference(avatar_split_clause,[],[f169,f92,f107,f104]) ).
fof(f171,plain,
( ~ spl7_3
| ~ spl7_4
| spl7_1 ),
inference(avatar_split_clause,[],[f168,f92,f107,f104]) ).
fof(f172,plain,
( ~ member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),difference(sK4,sK5))
| spl7_1 ),
inference(resolution,[],[f166,f36]) ).
fof(f174,plain,
( ~ member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),sK4)
| member(sK2(sK3,union(difference(sK4,sK5),difference(sK5,sK4))),sK5)
| spl7_1 ),
inference(resolution,[],[f172,f39]) ).
fof(f175,plain,
( spl7_4
| ~ spl7_3
| spl7_1 ),
inference(avatar_split_clause,[],[f174,f92,f104,f107]) ).
cnf(s2,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(sat_conversion,[],[f98]) ).
cnf(s10,plain,
( spl7_1
| spl7_3
| ~ spl7_4 ),
inference(sat_conversion,[],[f149]) ).
cnf(s11,plain,
( spl7_5
| ~ spl7_8 ),
inference(sat_conversion,[],[f156]) ).
cnf(s12,plain,
( spl7_2
| spl7_5
| ~ spl7_6 ),
inference(sat_conversion,[],[f157]) ).
cnf(s13,plain,
( ~ spl7_6
| ~ spl7_8 ),
inference(sat_conversion,[],[f158]) ).
cnf(s14,plain,
( spl7_2
| ~ spl7_5
| spl7_6 ),
inference(sat_conversion,[],[f159]) ).
cnf(s15,plain,
( spl7_2
| spl7_7
| spl7_8 ),
inference(sat_conversion,[],[f161]) ).
cnf(s16,plain,
( ~ spl7_5
| ~ spl7_7 ),
inference(sat_conversion,[],[f164]) ).
cnf(s17,plain,
( spl7_6
| ~ spl7_7 ),
inference(sat_conversion,[],[f165]) ).
cnf(s18,plain,
( spl7_1
| spl7_3
| spl7_4 ),
inference(sat_conversion,[],[f170]) ).
cnf(s19,plain,
( spl7_1
| ~ spl7_3
| ~ spl7_4 ),
inference(sat_conversion,[],[f171]) ).
cnf(s20,plain,
( spl7_1
| ~ spl7_3
| spl7_4 ),
inference(sat_conversion,[],[f175]) ).
cnf(s21,plain,
( spl7_3
| spl7_1 ),
inference(rat,[],[s18,s10]) ).
cnf(s22,plain,
( ~ spl7_3
| spl7_1 ),
inference(rat,[],[s19,s20]) ).
cnf(s23,plain,
spl7_1,
inference(rat,[],[s22,s21]) ).
cnf(s24,plain,
~ spl7_2,
inference(rat,[],[s2,s23]) ).
cnf(s25,plain,
spl7_5,
inference(rat,[],[s15,s17,s11,s12,s24]) ).
cnf(s26,plain,
~ spl7_7,
inference(rat,[],[s16,s25]) ).
cnf(s27,plain,
spl7_6,
inference(rat,[],[s14,s24,s25]) ).
cnf(s28,plain,
spl7_8,
inference(rat,[],[s15,s24,s26]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s13,s28,s27]) ).
fof(f176,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET582+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 02:13:32 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 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
% 2.92/1.24 % (1500738)Detected formulas, will run a generic FOF schedule.
% 2.92/1.24 % (1500743)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=3312800048:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.92/1.24 % (1500744)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=4253122064:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.92/1.24 % (1500748)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2328184146:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.92/1.24 % (1500745)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=695663084:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.92/1.24 % (1500746)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=709783980:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.92/1.24 % (1500749)dis-21_1_sil=8000:lcm=predicate:random_seed=1610956363: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)
% 2.92/1.24 % (1500747)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1688264861:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.92/1.24 % (1500747)Refutation not found, incomplete strategy
% 2.92/1.24 % (1500747)------------------------------
% 2.92/1.24 % (1500747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.24 % (1500747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.24 % (1500747)CaDiCaL version: 2.1.3
% 2.92/1.24 % (1500747)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.24 % (1500747)Time elapsed: 0.002 s
% 2.92/1.24 % (1500747)Peak memory usage: 88 MB
% 2.92/1.24 % (1500747)Instructions burned: 2 (million)
% 2.92/1.24 % (1500749)First to succeed.
% 2.92/1.24 % (1500749)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1500738"
% 2.92/1.24 % (1500746)Refutation not found, incomplete strategy
% 2.92/1.24 % (1500746)------------------------------
% 2.92/1.24 % (1500746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.24 % (1500746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.24 % (1500746)CaDiCaL version: 2.1.3
% 2.92/1.24 % (1500746)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.24 % (1500746)Time elapsed: 0.007 s
% 2.92/1.24 % (1500746)Peak memory usage: 89 MB
% 2.92/1.24 % (1500746)Instructions burned: 9 (million)
% 2.92/1.24 % (1500748)Instruction limit reached!
% 2.92/1.24 % (1500748)------------------------------
% 2.92/1.24 % (1500748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.24 % (1500748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.24 % (1500748)CaDiCaL version: 2.1.3
% 2.92/1.24 % (1500748)Termination reason: Instruction limit
% 2.92/1.24 % (1500748)Termination phase: Saturation
% 2.92/1.24 % (1500748)Time elapsed: 0.093 s
% 2.92/1.24 % (1500748)Peak memory usage: 89 MB
% 2.92/1.24 % (1500748)Instructions burned: 140 (million)
% 2.92/1.24 % (1500757)lrs+10_1_sil=8000:sp=occurrence:random_seed=2220283942:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.92/1.24 % (1500746)------------------------------
% 2.92/1.24 % (1500746)------------------------------
% 2.92/1.24 % (1500747)------------------------------
% 2.92/1.24 % (1500747)------------------------------
% 2.92/1.24 % (1500749)Refutation found. Thanks to Tanya!
% 2.92/1.24 % SZS status Theorem for theBenchmark
% 2.92/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.43 % (1500749)------------------------------
% 3.52/1.43 % (1500749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.43 % (1500749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.43 % (1500749)CaDiCaL version: 2.1.3
% 3.52/1.43 % (1500749)Termination reason: Refutation
% 3.52/1.43 % (1500749)Time elapsed: 0.005 s
% 3.52/1.43 % (1500749)Peak memory usage: 89 MB
% 3.52/1.43 % (1500749)Instructions burned: 5 (million)
% 3.52/1.43 % (1500749)------------------------------
% 3.52/1.43 % (1500749)------------------------------
% 3.52/1.43 % (1500738)Success in time 0.417 s
% 3.52/1.43 % Vampire exiting
%------------------------------------------------------------------------------