%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET601+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:41:18 PM UTC 2026
% Result : Theorem 2.86s 12.09s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 149 ( 13 unt; 14 def)
% Number of atoms : 369 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 365 ( 145 ~; 180 |; 20 &)
% ( 19 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 14 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(f6,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f7,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
fof(f11,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f14,conjecture,
! [X0,X1,X2] : union(union(intersection(X0,X1),intersection(X1,X2)),intersection(X2,X0)) = intersection(intersection(union(X0,X1),union(X1,X2)),union(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th72) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] : union(union(intersection(X0,X1),intersection(X1,X2)),intersection(X2,X0)) = intersection(intersection(union(X0,X1),union(X1,X2)),union(X2,X0)),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f17,plain,
? [X0,X1,X2] : union(union(intersection(X0,X1),intersection(X1,X2)),intersection(X2,X0)) != intersection(intersection(union(X0,X1),union(X1,X2)),union(X2,X0)),
inference(ennf_transformation,[],[f15]) ).
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,[],[f6]) ).
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,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f21,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,[],[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,[],[f8]) ).
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(f24,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,[],[f16]) ).
fof(f25,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,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f25]) ).
fof(f30,plain,
union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)) != intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f17]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f37,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f38,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f41,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f44,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f48,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f49,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f55,plain,
union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)) != intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),
inference(cnf_transformation,[],[f30]) ).
fof(f60,definition,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ5_eqProxy])],[equality_proxy_definition]) ).
fof(f66,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(equality_proxy_replacement,[],[f44,f60]) ).
fof(f71,plain,
~ sQ5_eqProxy(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),
inference(equality_proxy_replacement,[],[f55,f60]) ).
fof(f79,plain,
( ~ subset(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)))
| ~ subset(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))) ),
inference(resolution,[],[f66,f71]) ).
fof(f82,definition,
( spl6_1
<=> subset(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f83,plain,
( ~ subset(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)))
| spl6_1 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl6_2
<=> subset(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f86,plain,
( ~ subset(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)))
| spl6_2 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( ~ spl6_2
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f79,f82,f85]) ).
fof(f95,definition,
( spl6_3
<=> member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(intersection(sK2,sK3),intersection(sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f96,plain,
( member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(intersection(sK2,sK3),intersection(sK3,sK4)))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,definition,
( spl6_4
<=> member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK4,sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f99,plain,
( member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK4,sK2))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( ~ member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)))
| spl6_2 ),
inference(resolution,[],[f86,f49]) ).
fof(f102,plain,
( member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)))
| spl6_2 ),
inference(resolution,[],[f86,f48]) ).
fof(f103,plain,
( ~ member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),union(intersection(sK2,sK3),intersection(sK3,sK4)))
| spl6_2 ),
inference(resolution,[],[f101,f38]) ).
fof(f104,plain,
( ~ member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),intersection(sK4,sK2))
| spl6_2 ),
inference(resolution,[],[f101,f37]) ).
fof(f105,plain,
( member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),intersection(union(sK2,sK3),union(sK3,sK4)))
| spl6_2 ),
inference(resolution,[],[f102,f40]) ).
fof(f106,plain,
( member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),union(sK4,sK2))
| spl6_2 ),
inference(resolution,[],[f102,f39]) ).
fof(f107,plain,
( member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK2)
| member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK4)
| spl6_2 ),
inference(resolution,[],[f106,f36]) ).
fof(f109,definition,
( spl6_5
<=> member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f112,definition,
( spl6_6
<=> member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK2) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f114,plain,
( spl6_5
| spl6_6
| spl6_2 ),
inference(avatar_split_clause,[],[f107,f85,f112,f109]) ).
fof(f115,plain,
( ~ member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),intersection(sK2,sK3))
| spl6_2 ),
inference(resolution,[],[f103,f38]) ).
fof(f116,plain,
( ~ member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),intersection(sK3,sK4))
| spl6_2 ),
inference(resolution,[],[f103,f37]) ).
fof(f117,plain,
( member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),union(sK2,sK3))
| spl6_2 ),
inference(resolution,[],[f105,f40]) ).
fof(f118,plain,
( member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),union(sK3,sK4))
| spl6_2 ),
inference(resolution,[],[f105,f39]) ).
fof(f119,plain,
( member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK3)
| member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK2)
| spl6_2 ),
inference(resolution,[],[f117,f36]) ).
fof(f121,definition,
( spl6_7
<=> member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK3) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f123,plain,
( spl6_6
| spl6_7
| spl6_2 ),
inference(avatar_split_clause,[],[f119,f85,f121,f112]) ).
fof(f126,plain,
( ~ member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK4)
| ~ member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK2)
| spl6_2 ),
inference(resolution,[],[f41,f104]) ).
fof(f127,plain,
( ~ member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK2)
| ~ member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK3)
| spl6_2 ),
inference(resolution,[],[f41,f115]) ).
fof(f128,plain,
( ~ member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK3)
| ~ member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK4)
| spl6_2 ),
inference(resolution,[],[f41,f116]) ).
fof(f131,plain,
( ~ spl6_5
| ~ spl6_7
| spl6_2 ),
inference(avatar_split_clause,[],[f128,f85,f121,f109]) ).
fof(f133,plain,
( ~ spl6_7
| ~ spl6_6
| spl6_2 ),
inference(avatar_split_clause,[],[f127,f85,f112,f121]) ).
fof(f134,plain,
( ~ spl6_6
| ~ spl6_5
| spl6_2 ),
inference(avatar_split_clause,[],[f126,f85,f109,f112]) ).
fof(f135,plain,
( member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK4)
| member(sK0(intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),sK3)
| spl6_2 ),
inference(resolution,[],[f118,f36]) ).
fof(f136,plain,
( spl6_7
| spl6_5
| spl6_2 ),
inference(avatar_split_clause,[],[f135,f85,f109,f121]) ).
fof(f137,plain,
( ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)))
| spl6_1 ),
inference(resolution,[],[f83,f49]) ).
fof(f138,plain,
( member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)))
| spl6_1 ),
inference(resolution,[],[f83,f48]) ).
fof(f139,plain,
( ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(union(sK2,sK3),union(sK3,sK4)))
| ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK4,sK2))
| spl6_1 ),
inference(resolution,[],[f137,f41]) ).
fof(f141,definition,
( spl6_8
<=> member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK4,sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f142,plain,
( ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK4,sK2))
| spl6_8 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,definition,
( spl6_9
<=> member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(union(sK2,sK3),union(sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f145,plain,
( ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(union(sK2,sK3),union(sK3,sK4)))
| spl6_9 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( ~ spl6_8
| ~ spl6_9
| spl6_1 ),
inference(avatar_split_clause,[],[f139,f82,f144,f141]) ).
fof(f147,plain,
( member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK4,sK2))
| member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(intersection(sK2,sK3),intersection(sK3,sK4)))
| spl6_1 ),
inference(resolution,[],[f138,f36]) ).
fof(f148,plain,
( spl6_3
| spl6_4
| spl6_1 ),
inference(avatar_split_clause,[],[f147,f82,f98,f95]) ).
fof(f149,plain,
( member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK4)
| ~ spl6_4 ),
inference(resolution,[],[f99,f40]) ).
fof(f150,plain,
( member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK2)
| ~ spl6_4 ),
inference(resolution,[],[f99,f39]) ).
fof(f151,plain,
( ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK4)
| spl6_8 ),
inference(resolution,[],[f142,f38]) ).
fof(f152,plain,
( ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK2)
| spl6_8 ),
inference(resolution,[],[f142,f37]) ).
fof(f153,plain,
( $false
| ~ spl6_4
| spl6_8 ),
inference(resolution,[],[f151,f149]) ).
fof(f154,plain,
( ~ spl6_4
| spl6_8 ),
inference(avatar_contradiction_clause,[],[f153]) ).
fof(f157,definition,
( spl6_10
<=> member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition]) ).
fof(f158,plain,
( ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK3,sK4))
| spl6_10 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,definition,
( spl6_11
<=> member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).
fof(f161,plain,
( ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK2,sK3))
| spl6_11 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f163,plain,
( ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3)
| spl6_10 ),
inference(resolution,[],[f158,f38]) ).
fof(f164,plain,
( ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK4)
| spl6_10 ),
inference(resolution,[],[f158,f37]) ).
fof(f165,plain,
( $false
| ~ spl6_4
| spl6_10 ),
inference(resolution,[],[f164,f149]) ).
fof(f166,plain,
( ~ spl6_4
| spl6_10 ),
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f167,plain,
( ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK2)
| spl6_11 ),
inference(resolution,[],[f161,f38]) ).
fof(f168,plain,
( ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3)
| spl6_11 ),
inference(resolution,[],[f161,f37]) ).
fof(f169,plain,
( $false
| ~ spl6_4
| spl6_11 ),
inference(resolution,[],[f167,f150]) ).
fof(f170,plain,
( ~ spl6_4
| spl6_11 ),
inference(avatar_contradiction_clause,[],[f169]) ).
fof(f171,plain,
( member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK3,sK4))
| member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK2,sK3))
| ~ spl6_3 ),
inference(resolution,[],[f96,f36]) ).
fof(f173,definition,
( spl6_12
<=> member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).
fof(f174,plain,
( member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK2,sK3))
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f176,definition,
( spl6_13
<=> member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).
fof(f177,plain,
( member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK3,sK4))
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( spl6_12
| spl6_13
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f171,f95,f176,f173]) ).
fof(f179,plain,
( member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3)
| ~ spl6_13 ),
inference(resolution,[],[f177,f40]) ).
fof(f180,plain,
( member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK4)
| ~ spl6_13 ),
inference(resolution,[],[f177,f39]) ).
fof(f181,plain,
( $false
| spl6_11
| ~ spl6_13 ),
inference(resolution,[],[f179,f168]) ).
fof(f182,plain,
( spl6_11
| ~ spl6_13 ),
inference(avatar_contradiction_clause,[],[f181]) ).
fof(f183,plain,
( member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK2)
| ~ spl6_12 ),
inference(resolution,[],[f174,f40]) ).
fof(f184,plain,
( member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3)
| ~ spl6_12 ),
inference(resolution,[],[f174,f39]) ).
fof(f185,plain,
( $false
| spl6_11
| ~ spl6_12 ),
inference(resolution,[],[f183,f167]) ).
fof(f186,plain,
( spl6_11
| ~ spl6_12 ),
inference(avatar_contradiction_clause,[],[f185]) ).
fof(f191,plain,
( $false
| spl6_10
| ~ spl6_13 ),
inference(resolution,[],[f179,f163]) ).
fof(f192,plain,
( spl6_10
| ~ spl6_13 ),
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f195,plain,
( $false
| spl6_8
| ~ spl6_13 ),
inference(resolution,[],[f180,f151]) ).
fof(f196,plain,
( spl6_8
| ~ spl6_13 ),
inference(avatar_contradiction_clause,[],[f195]) ).
fof(f199,plain,
( $false
| spl6_8
| ~ spl6_12 ),
inference(resolution,[],[f183,f152]) ).
fof(f200,plain,
( spl6_8
| ~ spl6_12 ),
inference(avatar_contradiction_clause,[],[f199]) ).
fof(f201,plain,
( ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK2,sK3))
| ~ member(sK0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK3,sK4))
| spl6_9 ),
inference(resolution,[],[f145,f41]) ).
fof(f202,plain,
( ~ spl6_10
| ~ spl6_11
| spl6_9 ),
inference(avatar_split_clause,[],[f201,f144,f160,f157]) ).
fof(f205,plain,
( $false
| spl6_10
| ~ spl6_12 ),
inference(resolution,[],[f184,f163]) ).
fof(f206,plain,
( spl6_10
| ~ spl6_12 ),
inference(avatar_contradiction_clause,[],[f205]) ).
cnf(s2,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f88]) ).
cnf(s4,plain,
( spl6_2
| spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f114]) ).
cnf(s5,plain,
( spl6_2
| spl6_6
| spl6_7 ),
inference(sat_conversion,[],[f123]) ).
cnf(s6,plain,
( spl6_2
| ~ spl6_5
| ~ spl6_7 ),
inference(sat_conversion,[],[f131]) ).
cnf(s7,plain,
( spl6_2
| ~ spl6_6
| ~ spl6_7 ),
inference(sat_conversion,[],[f133]) ).
cnf(s8,plain,
( spl6_2
| ~ spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f134]) ).
cnf(s9,plain,
( spl6_2
| spl6_5
| spl6_7 ),
inference(sat_conversion,[],[f136]) ).
cnf(s10,plain,
( spl6_1
| ~ spl6_8
| ~ spl6_9 ),
inference(sat_conversion,[],[f146]) ).
cnf(s11,plain,
( spl6_1
| spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f148]) ).
cnf(s12,plain,
( ~ spl6_4
| spl6_8 ),
inference(sat_conversion,[],[f154]) ).
cnf(s14,plain,
( ~ spl6_4
| spl6_10 ),
inference(sat_conversion,[],[f166]) ).
cnf(s15,plain,
( ~ spl6_4
| spl6_11 ),
inference(sat_conversion,[],[f170]) ).
cnf(s16,plain,
( ~ spl6_3
| spl6_12
| spl6_13 ),
inference(sat_conversion,[],[f178]) ).
cnf(s17,plain,
( spl6_11
| ~ spl6_13 ),
inference(sat_conversion,[],[f182]) ).
cnf(s18,plain,
( spl6_11
| ~ spl6_12 ),
inference(sat_conversion,[],[f186]) ).
cnf(s19,plain,
( spl6_10
| ~ spl6_13 ),
inference(sat_conversion,[],[f192]) ).
cnf(s20,plain,
( spl6_8
| ~ spl6_13 ),
inference(sat_conversion,[],[f196]) ).
cnf(s21,plain,
( spl6_8
| ~ spl6_12 ),
inference(sat_conversion,[],[f200]) ).
cnf(s22,plain,
( spl6_9
| ~ spl6_10
| ~ spl6_11 ),
inference(sat_conversion,[],[f202]) ).
cnf(s23,plain,
( spl6_10
| ~ spl6_12 ),
inference(sat_conversion,[],[f206]) ).
cnf(s24,plain,
( ~ spl6_4
| spl6_1 ),
inference(rat,[],[s10,s22,s12,s14,s15]) ).
cnf(s25,plain,
( spl6_11
| ~ spl6_3 ),
inference(rat,[],[s16,s17,s18]) ).
cnf(s26,plain,
( spl6_10
| ~ spl6_3 ),
inference(rat,[],[s16,s19,s23]) ).
cnf(s27,plain,
( spl6_4
| spl6_1 ),
inference(rat,[],[s16,s20,s21,s10,s22,s26,s25,s11]) ).
cnf(s28,plain,
spl6_1,
inference(rat,[],[s27,s24]) ).
cnf(s29,plain,
~ spl6_2,
inference(rat,[],[s2,s28]) ).
cnf(s30,plain,
spl6_5,
inference(rat,[],[s7,s4,s9,s29]) ).
cnf(s31,plain,
~ spl6_6,
inference(rat,[],[s8,s29,s30]) ).
cnf(s32,plain,
~ spl6_7,
inference(rat,[],[s6,s29,s30]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s5,s29,s32,s31]) ).
fof(f207,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET601+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/11.21 % Computer : n006.cluster.edu
% 0.11/11.21 % Model : x86_64 x86_64
% 0.11/11.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/11.21 % Memory : 8046.5625MB
% 0.11/11.21 % OS : Linux 6.8.0-71-generic
% 0.11/11.21 % CPULimit : 300
% 0.11/11.21 % WCLimit : 300
% 0.11/11.21 % DateTime : Mon Sep 28 02:17:40 UTC 2026
% 0.11/11.21 % CPUTime :
% 0.11/11.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/11.24 Running first-order theorem proving
% 0.11/11.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.86/12.09 % (3522956)Detected formulas, will run a generic FOF schedule.
% 2.86/12.09 % (3522965)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2729946901:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.86/12.09 % (3522967)dis-21_1_sil=8000:lcm=predicate:random_seed=1978173872: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)
% 2.86/12.09 % (3522961)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=3736829624:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.86/12.09 % (3522964)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2367692644:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.86/12.09 % (3522962)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=2813850244:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.86/12.09 % (3522963)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=3369431165:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.86/12.09 % (3522964)Refutation not found, incomplete strategy
% 2.86/12.09 % (3522964)------------------------------
% 2.86/12.09 % (3522964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/12.09 % (3522964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/12.09 % (3522964)CaDiCaL version: 2.1.3
% 2.86/12.09 % (3522964)Termination reason: Refutation not found, incomplete strategy
% 2.86/12.09 % (3522964)Time elapsed: 0.001 s
% 2.86/12.09 % (3522964)Peak memory usage: 88 MB
% 2.86/12.09 % (3522964)Instructions burned: 1 (million)
% 2.86/12.09 % (3522967)First to succeed.
% 2.86/12.09 % (3522967)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3522956"
% 2.86/12.09 % (3522965)Instruction limit reached!
% 2.86/12.09 % (3522965)------------------------------
% 2.86/12.09 % (3522965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/12.09 % (3522965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/12.09 % (3522965)CaDiCaL version: 2.1.3
% 2.86/12.09 % (3522965)Termination reason: Instruction limit
% 2.86/12.09 % (3522965)Termination phase: Saturation
% 2.86/12.09 % (3522965)Time elapsed: 0.036 s
% 2.86/12.09 % (3522965)Peak memory usage: 89 MB
% 2.86/12.09 % (3522965)Instructions burned: 123 (million)
% 2.86/12.09 % (3522966)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1804282897:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.86/12.09 % (3522974)lrs+10_1_sil=8000:sp=occurrence:random_seed=3281980345:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.86/12.09 % (3522966)Instruction limit reached!
% 2.86/12.09 % (3522966)------------------------------
% 2.86/12.09 % (3522966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/12.09 % (3522966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/12.09 % (3522966)CaDiCaL version: 2.1.3
% 2.86/12.09 % (3522966)Termination reason: Instruction limit
% 2.86/12.09 % (3522966)Termination phase: Saturation
% 2.86/12.09 % (3522966)Time elapsed: 0.080 s
% 2.86/12.09 % (3522966)Peak memory usage: 89 MB
% 2.86/12.09 % (3522966)Instructions burned: 140 (million)
% 2.86/12.09 % (3522974)Instruction limit reached!
% 2.86/12.09 % (3522974)------------------------------
% 2.86/12.09 % (3522974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/12.09 % (3522974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/12.09 % (3522974)CaDiCaL version: 2.1.3
% 2.86/12.09 % (3522974)Termination reason: Instruction limit
% 2.86/12.09 % (3522974)Termination phase: Saturation
% 2.86/12.09 % (3522974)Time elapsed: 0.090 s
% 2.86/12.09 % (3522974)Peak memory usage: 91 MB
% 2.86/12.09 % (3522974)Instructions burned: 287 (million)
% 2.86/12.09 % (3522977)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4086305537:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.86/12.09 % (3522964)------------------------------
% 2.86/12.09 % (3522964)------------------------------
% 2.86/12.09 % (3522967)Refutation found. Thanks to Tanya!
% 2.86/12.09 % SZS status Theorem for theBenchmark
% 2.86/12.09 % SZS output start Proof for theBenchmark
% See solution above
% 3.37/12.19 % (3522967)------------------------------
% 3.37/12.19 % (3522967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/12.19 % (3522967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/12.19 % (3522967)CaDiCaL version: 2.1.3
% 3.37/12.19 % (3522967)Termination reason: Refutation
% 3.37/12.19 % (3522967)Time elapsed: 0.006 s
% 3.37/12.19 % (3522967)Peak memory usage: 89 MB
% 3.37/12.19 % (3522967)Instructions burned: 8 (million)
% 3.37/12.19 % (3522967)------------------------------
% 3.37/12.19 % (3522967)------------------------------
% 3.37/12.19 % (3522956)Success in time 0.404 s
% 3.37/12.19 % Vampire exiting
%------------------------------------------------------------------------------