TSTP Solution File: GRP637+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP637+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 12:08:15 EDT 2024
% Result : Theorem 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 96
% Syntax : Number of formulae : 625 ( 74 unt; 0 def)
% Number of atoms : 2194 ( 72 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 2543 ( 974 ~;1153 |; 288 &)
% ( 60 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 72 ( 70 usr; 53 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-4 aty)
% Number of variables : 552 ( 468 !; 84 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3484,plain,
$false,
inference(avatar_sat_refutation,[],[f298,f557,f566,f893,f896,f920,f940,f957,f975,f996,f1004,f1006,f1008,f1010,f1012,f1095,f1113,f1143,f1182,f1188,f1203,f1273,f1369,f1382,f1450,f1452,f1454,f1456,f1458,f1615,f2131,f2499,f2507,f2515,f2958,f3138,f3141,f3152,f3155,f3173,f3181,f3189,f3197,f3230,f3483]) ).
fof(f3483,plain,
~ spl22_18,
inference(avatar_contradiction_clause,[],[f3482]) ).
fof(f3482,plain,
( $false
| ~ spl22_18 ),
inference(subsumption_resolution,[],[f3481,f155]) ).
fof(f155,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ~ m1_group_6(sK5,sK1,sK6)
& m1_group_6(sK3,sK0,sK4)
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) = u1_struct_0(sK6)
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
& m1_group_2(sK6,sK1)
& m1_group_2(sK5,sK1)
& m1_group_2(sK4,sK0)
& m1_group_2(sK3,sK0)
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK2)
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(sK1)
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f60,f114,f113,f112,f111,f110,f109,f108]) ).
fof(f108,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X1,X6)
& m1_group_6(X3,X0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,X1) )
& m1_group_2(X5,X1) )
& m1_group_2(X4,X0) )
& m1_group_2(X3,X0) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X1,X6)
& m1_group_6(X3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,X1) )
& m1_group_2(X5,X1) )
& m1_group_2(X4,sK0) )
& m1_group_2(X3,sK0) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X1,X6)
& m1_group_6(X3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,X1) )
& m1_group_2(X5,X1) )
& m1_group_2(X4,sK0) )
& m1_group_2(X3,sK0) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(X3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
& m1_group_2(X4,sK0) )
& m1_group_2(X3,sK0) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X2) )
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(X3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
& m1_group_2(X4,sK0) )
& m1_group_2(X3,sK0) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(X3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
& m1_group_2(X4,sK0) )
& m1_group_2(X3,sK0) )
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(X3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
& m1_group_2(X4,sK0) )
& m1_group_2(X3,sK0) )
=> ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(sK3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
& m1_group_2(X4,sK0) )
& m1_group_2(sK3,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(sK3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
& m1_group_2(X4,sK0) )
=> ( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(sK3,sK0,sK4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
& m1_group_2(sK4,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(sK3,sK0,sK4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
=> ( ? [X6] :
( ~ m1_group_6(sK5,sK1,X6)
& m1_group_6(sK3,sK0,sK4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
& m1_group_2(X6,sK1) )
& m1_group_2(sK5,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ? [X6] :
( ~ m1_group_6(sK5,sK1,X6)
& m1_group_6(sK3,sK0,sK4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
& m1_group_2(X6,sK1) )
=> ( ~ m1_group_6(sK5,sK1,sK6)
& m1_group_6(sK3,sK0,sK4)
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) = u1_struct_0(sK6)
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
& m1_group_2(sK6,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X1,X6)
& m1_group_6(X3,X0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,X1) )
& m1_group_2(X5,X1) )
& m1_group_2(X4,X0) )
& m1_group_2(X3,X0) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X1,X6)
& m1_group_6(X3,X0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,X1) )
& m1_group_2(X5,X1) )
& m1_group_2(X4,X0) )
& m1_group_2(X3,X0) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( m1_group_2(X4,X0)
=> ! [X5] :
( m1_group_2(X5,X1)
=> ! [X6] :
( m1_group_2(X6,X1)
=> ( ( m1_group_6(X3,X0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) )
=> m1_group_6(X5,X1,X6) ) ) ) ) ) ) ) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( m1_group_2(X4,X0)
=> ! [X5] :
( m1_group_2(X5,X1)
=> ! [X6] :
( m1_group_2(X6,X1)
=> ( ( m1_group_6(X3,X0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) )
=> m1_group_6(X5,X1,X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( m1_group_2(X4,X0)
=> ! [X5] :
( m1_group_2(X5,X1)
=> ! [X6] :
( m1_group_2(X6,X1)
=> ( ( m1_group_6(X3,X0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) )
=> m1_group_6(X5,X1,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_latsubgr) ).
fof(f3481,plain,
( v3_struct_0(sK1)
| ~ spl22_18 ),
inference(subsumption_resolution,[],[f3480,f156]) ).
fof(f156,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f3480,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ spl22_18 ),
inference(subsumption_resolution,[],[f3479,f157]) ).
fof(f157,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f3479,plain,
( ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ spl22_18 ),
inference(subsumption_resolution,[],[f3478,f158]) ).
fof(f158,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f3478,plain,
( ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ spl22_18 ),
inference(subsumption_resolution,[],[f3476,f164]) ).
fof(f164,plain,
m1_group_2(sK5,sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f3476,plain,
( ~ m1_group_2(sK5,sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ spl22_18 ),
inference(resolution,[],[f1195,f165]) ).
fof(f165,plain,
m1_group_2(sK6,sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f1195,plain,
( ! [X0] :
( ~ m1_group_2(sK6,X0)
| ~ m1_group_2(sK5,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl22_18 ),
inference(subsumption_resolution,[],[f1192,f829]) ).
fof(f829,plain,
~ m1_group_2(sK5,sK6),
inference(subsumption_resolution,[],[f828,f155]) ).
fof(f828,plain,
( ~ m1_group_2(sK5,sK6)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f827,f156]) ).
fof(f827,plain,
( ~ m1_group_2(sK5,sK6)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f826,f157]) ).
fof(f826,plain,
( ~ m1_group_2(sK5,sK6)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f825,f158]) ).
fof(f825,plain,
( ~ m1_group_2(sK5,sK6)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f820,f165]) ).
fof(f820,plain,
( ~ m1_group_2(sK5,sK6)
| ~ m1_group_2(sK6,sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f202,f169]) ).
fof(f169,plain,
~ m1_group_6(sK5,sK1,sK6),
inference(cnf_transformation,[],[f115]) ).
fof(f202,plain,
! [X2,X0,X1] :
( m1_group_6(X2,X0,X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ! [X2] :
( ( m1_group_6(X2,X0,X1)
| ~ m1_group_2(X2,X1) )
& ( m1_group_2(X2,X1)
| ~ m1_group_6(X2,X0,X1) ) )
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) )
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) )
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1] :
( ( m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_group_6) ).
fof(f1192,plain,
( ! [X0] :
( m1_group_2(sK5,sK6)
| ~ m1_group_2(sK6,X0)
| ~ m1_group_2(sK5,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl22_18 ),
inference(resolution,[],[f1181,f182]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| m1_group_2(X1,X2)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_group_2(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_group_2(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
=> m1_group_2(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t66_group_2) ).
fof(f1181,plain,
( r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| ~ spl22_18 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1179,plain,
( spl22_18
<=> r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_18])]) ).
fof(f3230,plain,
( spl22_51
| spl22_52
| ~ spl22_5
| spl22_8
| spl22_13
| ~ spl22_18 ),
inference(avatar_split_clause,[],[f1238,f1179,f1088,f917,f886,f3227,f3223]) ).
fof(f3223,plain,
( spl22_51
<=> v1_xboole_0(sK10(k1_zfmisc_1(u1_struct_0(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_51])]) ).
fof(f3227,plain,
( spl22_52
<=> r2_hidden(sK10(sK10(k1_zfmisc_1(u1_struct_0(sK5)))),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_52])]) ).
fof(f886,plain,
( spl22_5
<=> m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
fof(f917,plain,
( spl22_8
<=> v1_xboole_0(u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
fof(f1088,plain,
( spl22_13
<=> v1_xboole_0(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).
fof(f1238,plain,
( r2_hidden(sK10(sK10(k1_zfmisc_1(u1_struct_0(sK5)))),u1_struct_0(sK1))
| v1_xboole_0(sK10(k1_zfmisc_1(u1_struct_0(sK5))))
| ~ spl22_5
| spl22_8
| spl22_13
| ~ spl22_18 ),
inference(resolution,[],[f1222,f629]) ).
fof(f629,plain,
! [X0] :
( r2_hidden(sK10(sK10(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) ),
inference(subsumption_resolution,[],[f627,f304]) ).
fof(f304,plain,
! [X0] :
( v1_xboole_0(sK10(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f289,f259]) ).
fof(f259,plain,
! [X0] :
( r2_hidden(sK10(X0),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f199,f190]) ).
fof(f190,plain,
! [X0] : m1_subset_1(sK10(X0),X0),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] : m1_subset_1(sK10(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f29,f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK10(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f199,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f289,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sK10(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f230,f190]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f627,plain,
! [X0] :
( v1_xboole_0(sK10(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK10(sK10(k1_zfmisc_1(X0))),X0) ),
inference(resolution,[],[f383,f199]) ).
fof(f383,plain,
! [X0] :
( m1_subset_1(sK10(sK10(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) ),
inference(resolution,[],[f362,f259]) ).
fof(f362,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK10(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) ),
inference(resolution,[],[f227,f190]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f1222,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK5))
| r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl22_5
| spl22_8
| spl22_13
| ~ spl22_18 ),
inference(resolution,[],[f1217,f1072]) ).
fof(f1072,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK6))
| r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl22_5
| spl22_8 ),
inference(subsumption_resolution,[],[f1071,f919]) ).
fof(f919,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| spl22_8 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f1071,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK6))
| v1_xboole_0(u1_struct_0(sK1))
| r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl22_5 ),
inference(resolution,[],[f1047,f199]) ).
fof(f1047,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK1))
| ~ r2_hidden(X0,u1_struct_0(sK6)) )
| ~ spl22_5 ),
inference(resolution,[],[f1039,f227]) ).
fof(f1039,plain,
( m1_subset_1(u1_struct_0(sK6),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl22_5 ),
inference(superposition,[],[f1022,f1016]) ).
fof(f1016,plain,
( u1_struct_0(sK6) = k9_relat_1(sK2,u1_struct_0(sK4))
| ~ spl22_5 ),
inference(superposition,[],[f930,f167]) ).
fof(f167,plain,
k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) = u1_struct_0(sK6),
inference(cnf_transformation,[],[f115]) ).
fof(f930,plain,
( ! [X0] : k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0)
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f929,f159]) ).
fof(f159,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f115]) ).
fof(f929,plain,
( ! [X0] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0)
| ~ v1_funct_1(sK2) )
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f925,f160]) ).
fof(f160,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f115]) ).
fof(f925,plain,
( ! [X0] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2) )
| ~ spl22_5 ),
inference(resolution,[],[f232,f887]) ).
fof(f887,plain,
( m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f232,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f1022,plain,
( ! [X0] : m1_subset_1(k9_relat_1(sK2,X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f1021,f159]) ).
fof(f1021,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sK2,X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_funct_1(sK2) )
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f1020,f160]) ).
fof(f1020,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sK2,X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2) )
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f1019,f887]) ).
fof(f1019,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sK2,X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2) )
| ~ spl22_5 ),
inference(superposition,[],[f231,f930]) ).
fof(f231,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_2) ).
fof(f1217,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(sK6))
| ~ r2_hidden(X0,u1_struct_0(sK5)) )
| spl22_13
| ~ spl22_18 ),
inference(subsumption_resolution,[],[f1216,f1089]) ).
fof(f1089,plain,
( ~ v1_xboole_0(u1_struct_0(sK6))
| spl22_13 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1216,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK5))
| v1_xboole_0(u1_struct_0(sK6))
| r2_hidden(X0,u1_struct_0(sK6)) )
| ~ spl22_18 ),
inference(resolution,[],[f1193,f199]) ).
fof(f1193,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK6))
| ~ r2_hidden(X0,u1_struct_0(sK5)) )
| ~ spl22_18 ),
inference(resolution,[],[f1181,f357]) ).
fof(f357,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X1)
| ~ r2_hidden(X0,X2)
| m1_subset_1(X0,X1) ),
inference(resolution,[],[f227,f210]) ).
fof(f210,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f3197,plain,
( ~ spl22_49
| spl22_50 ),
inference(avatar_split_clause,[],[f2049,f3195,f3191]) ).
fof(f3191,plain,
( spl22_49
<=> v4_group_1(sK9(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_49])]) ).
fof(f3195,plain,
( spl22_50
<=> ! [X0] :
( m1_group_2(sK12(sK9(sK6),X0),sK1)
| ~ m1_group_2(X0,sK9(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_50])]) ).
fof(f2049,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK6),X0),sK1)
| ~ m1_group_2(X0,sK9(sK6))
| ~ v4_group_1(sK9(sK6)) ),
inference(subsumption_resolution,[],[f2048,f1904]) ).
fof(f1904,plain,
~ v3_struct_0(sK9(sK6)),
inference(subsumption_resolution,[],[f1903,f155]) ).
fof(f1903,plain,
( ~ v3_struct_0(sK9(sK6))
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1902,f156]) ).
fof(f1902,plain,
( ~ v3_struct_0(sK9(sK6))
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1884,f158]) ).
fof(f1884,plain,
( ~ v3_struct_0(sK9(sK6))
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f1875,f183]) ).
fof(f183,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f1875,plain,
m1_group_2(sK9(sK6),sK1),
inference(subsumption_resolution,[],[f1874,f382]) ).
fof(f382,plain,
~ v3_struct_0(sK6),
inference(subsumption_resolution,[],[f381,f155]) ).
fof(f381,plain,
( ~ v3_struct_0(sK6)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f380,f156]) ).
fof(f380,plain,
( ~ v3_struct_0(sK6)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f368,f158]) ).
fof(f368,plain,
( ~ v3_struct_0(sK6)
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f183,f165]) ).
fof(f1874,plain,
( m1_group_2(sK9(sK6),sK1)
| v3_struct_0(sK6) ),
inference(subsumption_resolution,[],[f1873,f433]) ).
fof(f433,plain,
v3_group_1(sK6),
inference(subsumption_resolution,[],[f432,f155]) ).
fof(f432,plain,
( v3_group_1(sK6)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f431,f156]) ).
fof(f431,plain,
( v3_group_1(sK6)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f419,f158]) ).
fof(f419,plain,
( v3_group_1(sK6)
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f184,f165]) ).
fof(f184,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v3_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f1873,plain,
( m1_group_2(sK9(sK6),sK1)
| ~ v3_group_1(sK6)
| v3_struct_0(sK6) ),
inference(subsumption_resolution,[],[f1870,f466]) ).
fof(f466,plain,
l1_group_1(sK6),
inference(subsumption_resolution,[],[f465,f155]) ).
fof(f465,plain,
( l1_group_1(sK6)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f464,f156]) ).
fof(f464,plain,
( l1_group_1(sK6)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f452,f158]) ).
fof(f452,plain,
( l1_group_1(sK6)
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f185,f165]) ).
fof(f185,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f1870,plain,
( m1_group_2(sK9(sK6),sK1)
| ~ l1_group_1(sK6)
| ~ v3_group_1(sK6)
| v3_struct_0(sK6) ),
inference(resolution,[],[f1716,f189]) ).
fof(f189,plain,
! [X0] :
( m1_group_2(sK9(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( m1_group_2(sK9(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f76,f122]) ).
fof(f122,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
=> m1_group_2(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m1_group_2(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_group_2) ).
fof(f1716,plain,
! [X0] :
( ~ m1_group_2(X0,sK6)
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1715,f155]) ).
fof(f1715,plain,
! [X0] :
( ~ m1_group_2(X0,sK6)
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1714,f156]) ).
fof(f1714,plain,
! [X0] :
( ~ m1_group_2(X0,sK6)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1713,f157]) ).
fof(f1713,plain,
! [X0] :
( ~ m1_group_2(X0,sK6)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1690,f158]) ).
fof(f1690,plain,
! [X0] :
( ~ m1_group_2(X0,sK6)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(resolution,[],[f823,f165]) ).
fof(f823,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X1,X2)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| m1_group_2(X0,X2) ),
inference(duplicate_literal_removal,[],[f822]) ).
fof(f822,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| m1_group_2(X0,X2)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) ),
inference(resolution,[],[f202,f200]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ m1_group_6(X2,X0,X1)
| m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ! [X2] :
( m1_group_2(X2,X0)
| ~ m1_group_6(X2,X0,X1) )
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ! [X2] :
( m1_group_2(X2,X0)
| ~ m1_group_6(X2,X0,X1) )
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_group_6(X2,X0,X1)
=> m1_group_2(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_6) ).
fof(f2048,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK6),X0),sK1)
| ~ m1_group_2(X0,sK9(sK6))
| ~ v4_group_1(sK9(sK6))
| v3_struct_0(sK9(sK6)) ),
inference(subsumption_resolution,[],[f2047,f1901]) ).
fof(f1901,plain,
v3_group_1(sK9(sK6)),
inference(subsumption_resolution,[],[f1900,f155]) ).
fof(f1900,plain,
( v3_group_1(sK9(sK6))
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1899,f156]) ).
fof(f1899,plain,
( v3_group_1(sK9(sK6))
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1883,f158]) ).
fof(f1883,plain,
( v3_group_1(sK9(sK6))
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f1875,f184]) ).
fof(f2047,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK6),X0),sK1)
| ~ m1_group_2(X0,sK9(sK6))
| ~ v4_group_1(sK9(sK6))
| ~ v3_group_1(sK9(sK6))
| v3_struct_0(sK9(sK6)) ),
inference(subsumption_resolution,[],[f2042,f1898]) ).
fof(f1898,plain,
l1_group_1(sK9(sK6)),
inference(subsumption_resolution,[],[f1897,f155]) ).
fof(f1897,plain,
( l1_group_1(sK9(sK6))
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1896,f156]) ).
fof(f1896,plain,
( l1_group_1(sK9(sK6))
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1882,f158]) ).
fof(f1882,plain,
( l1_group_1(sK9(sK6))
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f1875,f185]) ).
fof(f2042,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK6),X0),sK1)
| ~ m1_group_2(X0,sK9(sK6))
| ~ l1_group_1(sK9(sK6))
| ~ v4_group_1(sK9(sK6))
| ~ v3_group_1(sK9(sK6))
| v3_struct_0(sK9(sK6)) ),
inference(resolution,[],[f1888,f709]) ).
fof(f709,plain,
! [X0,X1] :
( m1_group_2(sK12(X0,X1),X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f708]) ).
fof(f708,plain,
! [X0,X1] :
( m1_group_2(sK12(X0,X1),X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f200,f203]) ).
fof(f203,plain,
! [X0,X1] :
( m1_group_6(sK12(X0,X1),X0,X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( m1_group_6(sK12(X0,X1),X0,X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f88,f129]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X2] : m1_group_6(X2,X0,X1)
=> m1_group_6(sK12(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1] :
( ? [X2] : m1_group_6(X2,X0,X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ? [X2] : m1_group_6(X2,X0,X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( ( m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] : m1_group_6(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_group_6) ).
fof(f1888,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK6))
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1887,f155]) ).
fof(f1887,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK6))
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1886,f156]) ).
fof(f1886,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK6))
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1885,f157]) ).
fof(f1885,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK6))
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1879,f158]) ).
fof(f1879,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK6))
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(resolution,[],[f1875,f823]) ).
fof(f3189,plain,
( ~ spl22_47
| spl22_48 ),
inference(avatar_split_clause,[],[f2011,f3187,f3183]) ).
fof(f3183,plain,
( spl22_47
<=> v4_group_1(sK9(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_47])]) ).
fof(f3187,plain,
( spl22_48
<=> ! [X0] :
( m1_group_2(sK12(sK9(sK5),X0),sK1)
| ~ m1_group_2(X0,sK9(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_48])]) ).
fof(f2011,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK5),X0),sK1)
| ~ m1_group_2(X0,sK9(sK5))
| ~ v4_group_1(sK9(sK5)) ),
inference(subsumption_resolution,[],[f2010,f1857]) ).
fof(f1857,plain,
~ v3_struct_0(sK9(sK5)),
inference(subsumption_resolution,[],[f1856,f155]) ).
fof(f1856,plain,
( ~ v3_struct_0(sK9(sK5))
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1855,f156]) ).
fof(f1855,plain,
( ~ v3_struct_0(sK9(sK5))
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1837,f158]) ).
fof(f1837,plain,
( ~ v3_struct_0(sK9(sK5))
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f1828,f183]) ).
fof(f1828,plain,
m1_group_2(sK9(sK5),sK1),
inference(subsumption_resolution,[],[f1827,f379]) ).
fof(f379,plain,
~ v3_struct_0(sK5),
inference(subsumption_resolution,[],[f378,f155]) ).
fof(f378,plain,
( ~ v3_struct_0(sK5)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f377,f156]) ).
fof(f377,plain,
( ~ v3_struct_0(sK5)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f367,f158]) ).
fof(f367,plain,
( ~ v3_struct_0(sK5)
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f183,f164]) ).
fof(f1827,plain,
( m1_group_2(sK9(sK5),sK1)
| v3_struct_0(sK5) ),
inference(subsumption_resolution,[],[f1826,f430]) ).
fof(f430,plain,
v3_group_1(sK5),
inference(subsumption_resolution,[],[f429,f155]) ).
fof(f429,plain,
( v3_group_1(sK5)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f428,f156]) ).
fof(f428,plain,
( v3_group_1(sK5)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f418,f158]) ).
fof(f418,plain,
( v3_group_1(sK5)
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f184,f164]) ).
fof(f1826,plain,
( m1_group_2(sK9(sK5),sK1)
| ~ v3_group_1(sK5)
| v3_struct_0(sK5) ),
inference(subsumption_resolution,[],[f1823,f463]) ).
fof(f463,plain,
l1_group_1(sK5),
inference(subsumption_resolution,[],[f462,f155]) ).
fof(f462,plain,
( l1_group_1(sK5)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f461,f156]) ).
fof(f461,plain,
( l1_group_1(sK5)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f451,f158]) ).
fof(f451,plain,
( l1_group_1(sK5)
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f185,f164]) ).
fof(f1823,plain,
( m1_group_2(sK9(sK5),sK1)
| ~ l1_group_1(sK5)
| ~ v3_group_1(sK5)
| v3_struct_0(sK5) ),
inference(resolution,[],[f1712,f189]) ).
fof(f1712,plain,
! [X0] :
( ~ m1_group_2(X0,sK5)
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1711,f155]) ).
fof(f1711,plain,
! [X0] :
( ~ m1_group_2(X0,sK5)
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1710,f156]) ).
fof(f1710,plain,
! [X0] :
( ~ m1_group_2(X0,sK5)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1709,f157]) ).
fof(f1709,plain,
! [X0] :
( ~ m1_group_2(X0,sK5)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1689,f158]) ).
fof(f1689,plain,
! [X0] :
( ~ m1_group_2(X0,sK5)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(resolution,[],[f823,f164]) ).
fof(f2010,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK5),X0),sK1)
| ~ m1_group_2(X0,sK9(sK5))
| ~ v4_group_1(sK9(sK5))
| v3_struct_0(sK9(sK5)) ),
inference(subsumption_resolution,[],[f2009,f1854]) ).
fof(f1854,plain,
v3_group_1(sK9(sK5)),
inference(subsumption_resolution,[],[f1853,f155]) ).
fof(f1853,plain,
( v3_group_1(sK9(sK5))
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1852,f156]) ).
fof(f1852,plain,
( v3_group_1(sK9(sK5))
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1836,f158]) ).
fof(f1836,plain,
( v3_group_1(sK9(sK5))
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f1828,f184]) ).
fof(f2009,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK5),X0),sK1)
| ~ m1_group_2(X0,sK9(sK5))
| ~ v4_group_1(sK9(sK5))
| ~ v3_group_1(sK9(sK5))
| v3_struct_0(sK9(sK5)) ),
inference(subsumption_resolution,[],[f2004,f1851]) ).
fof(f1851,plain,
l1_group_1(sK9(sK5)),
inference(subsumption_resolution,[],[f1850,f155]) ).
fof(f1850,plain,
( l1_group_1(sK9(sK5))
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1849,f156]) ).
fof(f1849,plain,
( l1_group_1(sK9(sK5))
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1835,f158]) ).
fof(f1835,plain,
( l1_group_1(sK9(sK5))
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f1828,f185]) ).
fof(f2004,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK5),X0),sK1)
| ~ m1_group_2(X0,sK9(sK5))
| ~ l1_group_1(sK9(sK5))
| ~ v4_group_1(sK9(sK5))
| ~ v3_group_1(sK9(sK5))
| v3_struct_0(sK9(sK5)) ),
inference(resolution,[],[f1841,f709]) ).
fof(f1841,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK5))
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1840,f155]) ).
fof(f1840,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK5))
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1839,f156]) ).
fof(f1839,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK5))
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1838,f157]) ).
fof(f1838,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK5))
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(subsumption_resolution,[],[f1832,f158]) ).
fof(f1832,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK5))
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| m1_group_2(X0,sK1) ),
inference(resolution,[],[f1828,f823]) ).
fof(f3181,plain,
( ~ spl22_45
| spl22_46 ),
inference(avatar_split_clause,[],[f1963,f3179,f3175]) ).
fof(f3175,plain,
( spl22_45
<=> v4_group_1(sK9(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_45])]) ).
fof(f3179,plain,
( spl22_46
<=> ! [X0] :
( m1_group_2(sK12(sK9(sK4),X0),sK0)
| ~ m1_group_2(X0,sK9(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_46])]) ).
fof(f1963,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK4),X0),sK0)
| ~ m1_group_2(X0,sK9(sK4))
| ~ v4_group_1(sK9(sK4)) ),
inference(subsumption_resolution,[],[f1962,f1803]) ).
fof(f1803,plain,
~ v3_struct_0(sK9(sK4)),
inference(subsumption_resolution,[],[f1802,f151]) ).
fof(f151,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f1802,plain,
( ~ v3_struct_0(sK9(sK4))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1801,f152]) ).
fof(f152,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f1801,plain,
( ~ v3_struct_0(sK9(sK4))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1783,f154]) ).
fof(f154,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f1783,plain,
( ~ v3_struct_0(sK9(sK4))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f1774,f183]) ).
fof(f1774,plain,
m1_group_2(sK9(sK4),sK0),
inference(subsumption_resolution,[],[f1773,f376]) ).
fof(f376,plain,
~ v3_struct_0(sK4),
inference(subsumption_resolution,[],[f375,f151]) ).
fof(f375,plain,
( ~ v3_struct_0(sK4)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f374,f152]) ).
fof(f374,plain,
( ~ v3_struct_0(sK4)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f366,f154]) ).
fof(f366,plain,
( ~ v3_struct_0(sK4)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f183,f163]) ).
fof(f163,plain,
m1_group_2(sK4,sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f1773,plain,
( m1_group_2(sK9(sK4),sK0)
| v3_struct_0(sK4) ),
inference(subsumption_resolution,[],[f1772,f427]) ).
fof(f427,plain,
v3_group_1(sK4),
inference(subsumption_resolution,[],[f426,f151]) ).
fof(f426,plain,
( v3_group_1(sK4)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f425,f152]) ).
fof(f425,plain,
( v3_group_1(sK4)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f417,f154]) ).
fof(f417,plain,
( v3_group_1(sK4)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f184,f163]) ).
fof(f1772,plain,
( m1_group_2(sK9(sK4),sK0)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4) ),
inference(subsumption_resolution,[],[f1769,f460]) ).
fof(f460,plain,
l1_group_1(sK4),
inference(subsumption_resolution,[],[f459,f151]) ).
fof(f459,plain,
( l1_group_1(sK4)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f458,f152]) ).
fof(f458,plain,
( l1_group_1(sK4)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f450,f154]) ).
fof(f450,plain,
( l1_group_1(sK4)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f185,f163]) ).
fof(f1769,plain,
( m1_group_2(sK9(sK4),sK0)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4) ),
inference(resolution,[],[f1708,f189]) ).
fof(f1708,plain,
! [X0] :
( ~ m1_group_2(X0,sK4)
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1707,f151]) ).
fof(f1707,plain,
! [X0] :
( ~ m1_group_2(X0,sK4)
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1706,f152]) ).
fof(f1706,plain,
! [X0] :
( ~ m1_group_2(X0,sK4)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1705,f153]) ).
fof(f153,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f1705,plain,
! [X0] :
( ~ m1_group_2(X0,sK4)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1688,f154]) ).
fof(f1688,plain,
! [X0] :
( ~ m1_group_2(X0,sK4)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(resolution,[],[f823,f163]) ).
fof(f1962,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK4),X0),sK0)
| ~ m1_group_2(X0,sK9(sK4))
| ~ v4_group_1(sK9(sK4))
| v3_struct_0(sK9(sK4)) ),
inference(subsumption_resolution,[],[f1961,f1800]) ).
fof(f1800,plain,
v3_group_1(sK9(sK4)),
inference(subsumption_resolution,[],[f1799,f151]) ).
fof(f1799,plain,
( v3_group_1(sK9(sK4))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1798,f152]) ).
fof(f1798,plain,
( v3_group_1(sK9(sK4))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1782,f154]) ).
fof(f1782,plain,
( v3_group_1(sK9(sK4))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f1774,f184]) ).
fof(f1961,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK4),X0),sK0)
| ~ m1_group_2(X0,sK9(sK4))
| ~ v4_group_1(sK9(sK4))
| ~ v3_group_1(sK9(sK4))
| v3_struct_0(sK9(sK4)) ),
inference(subsumption_resolution,[],[f1956,f1797]) ).
fof(f1797,plain,
l1_group_1(sK9(sK4)),
inference(subsumption_resolution,[],[f1796,f151]) ).
fof(f1796,plain,
( l1_group_1(sK9(sK4))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1795,f152]) ).
fof(f1795,plain,
( l1_group_1(sK9(sK4))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1781,f154]) ).
fof(f1781,plain,
( l1_group_1(sK9(sK4))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f1774,f185]) ).
fof(f1956,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK4),X0),sK0)
| ~ m1_group_2(X0,sK9(sK4))
| ~ l1_group_1(sK9(sK4))
| ~ v4_group_1(sK9(sK4))
| ~ v3_group_1(sK9(sK4))
| v3_struct_0(sK9(sK4)) ),
inference(resolution,[],[f1787,f709]) ).
fof(f1787,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK4))
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1786,f151]) ).
fof(f1786,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK4))
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1785,f152]) ).
fof(f1785,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK4))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1784,f153]) ).
fof(f1784,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK4))
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1778,f154]) ).
fof(f1778,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK4))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(resolution,[],[f1774,f823]) ).
fof(f3173,plain,
( ~ spl22_43
| spl22_44 ),
inference(avatar_split_clause,[],[f1925,f3171,f3167]) ).
fof(f3167,plain,
( spl22_43
<=> v4_group_1(sK9(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_43])]) ).
fof(f3171,plain,
( spl22_44
<=> ! [X0] :
( m1_group_2(sK12(sK9(sK3),X0),sK0)
| ~ m1_group_2(X0,sK9(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_44])]) ).
fof(f1925,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK3),X0),sK0)
| ~ m1_group_2(X0,sK9(sK3))
| ~ v4_group_1(sK9(sK3)) ),
inference(subsumption_resolution,[],[f1924,f1755]) ).
fof(f1755,plain,
~ v3_struct_0(sK9(sK3)),
inference(subsumption_resolution,[],[f1754,f151]) ).
fof(f1754,plain,
( ~ v3_struct_0(sK9(sK3))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1753,f152]) ).
fof(f1753,plain,
( ~ v3_struct_0(sK9(sK3))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1735,f154]) ).
fof(f1735,plain,
( ~ v3_struct_0(sK9(sK3))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f1726,f183]) ).
fof(f1726,plain,
m1_group_2(sK9(sK3),sK0),
inference(subsumption_resolution,[],[f1725,f373]) ).
fof(f373,plain,
~ v3_struct_0(sK3),
inference(subsumption_resolution,[],[f372,f151]) ).
fof(f372,plain,
( ~ v3_struct_0(sK3)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f371,f152]) ).
fof(f371,plain,
( ~ v3_struct_0(sK3)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f365,f154]) ).
fof(f365,plain,
( ~ v3_struct_0(sK3)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f183,f162]) ).
fof(f162,plain,
m1_group_2(sK3,sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f1725,plain,
( m1_group_2(sK9(sK3),sK0)
| v3_struct_0(sK3) ),
inference(subsumption_resolution,[],[f1724,f424]) ).
fof(f424,plain,
v3_group_1(sK3),
inference(subsumption_resolution,[],[f423,f151]) ).
fof(f423,plain,
( v3_group_1(sK3)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f422,f152]) ).
fof(f422,plain,
( v3_group_1(sK3)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f416,f154]) ).
fof(f416,plain,
( v3_group_1(sK3)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f184,f162]) ).
fof(f1724,plain,
( m1_group_2(sK9(sK3),sK0)
| ~ v3_group_1(sK3)
| v3_struct_0(sK3) ),
inference(subsumption_resolution,[],[f1721,f457]) ).
fof(f457,plain,
l1_group_1(sK3),
inference(subsumption_resolution,[],[f456,f151]) ).
fof(f456,plain,
( l1_group_1(sK3)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f455,f152]) ).
fof(f455,plain,
( l1_group_1(sK3)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f449,f154]) ).
fof(f449,plain,
( l1_group_1(sK3)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f185,f162]) ).
fof(f1721,plain,
( m1_group_2(sK9(sK3),sK0)
| ~ l1_group_1(sK3)
| ~ v3_group_1(sK3)
| v3_struct_0(sK3) ),
inference(resolution,[],[f1704,f189]) ).
fof(f1704,plain,
! [X0] :
( ~ m1_group_2(X0,sK3)
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1703,f151]) ).
fof(f1703,plain,
! [X0] :
( ~ m1_group_2(X0,sK3)
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1702,f152]) ).
fof(f1702,plain,
! [X0] :
( ~ m1_group_2(X0,sK3)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1701,f153]) ).
fof(f1701,plain,
! [X0] :
( ~ m1_group_2(X0,sK3)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1687,f154]) ).
fof(f1687,plain,
! [X0] :
( ~ m1_group_2(X0,sK3)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(resolution,[],[f823,f162]) ).
fof(f1924,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK3),X0),sK0)
| ~ m1_group_2(X0,sK9(sK3))
| ~ v4_group_1(sK9(sK3))
| v3_struct_0(sK9(sK3)) ),
inference(subsumption_resolution,[],[f1923,f1752]) ).
fof(f1752,plain,
v3_group_1(sK9(sK3)),
inference(subsumption_resolution,[],[f1751,f151]) ).
fof(f1751,plain,
( v3_group_1(sK9(sK3))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1750,f152]) ).
fof(f1750,plain,
( v3_group_1(sK9(sK3))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1734,f154]) ).
fof(f1734,plain,
( v3_group_1(sK9(sK3))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f1726,f184]) ).
fof(f1923,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK3),X0),sK0)
| ~ m1_group_2(X0,sK9(sK3))
| ~ v4_group_1(sK9(sK3))
| ~ v3_group_1(sK9(sK3))
| v3_struct_0(sK9(sK3)) ),
inference(subsumption_resolution,[],[f1918,f1749]) ).
fof(f1749,plain,
l1_group_1(sK9(sK3)),
inference(subsumption_resolution,[],[f1748,f151]) ).
fof(f1748,plain,
( l1_group_1(sK9(sK3))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1747,f152]) ).
fof(f1747,plain,
( l1_group_1(sK9(sK3))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1733,f154]) ).
fof(f1733,plain,
( l1_group_1(sK9(sK3))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f1726,f185]) ).
fof(f1918,plain,
! [X0] :
( m1_group_2(sK12(sK9(sK3),X0),sK0)
| ~ m1_group_2(X0,sK9(sK3))
| ~ l1_group_1(sK9(sK3))
| ~ v4_group_1(sK9(sK3))
| ~ v3_group_1(sK9(sK3))
| v3_struct_0(sK9(sK3)) ),
inference(resolution,[],[f1739,f709]) ).
fof(f1739,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK3))
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1738,f151]) ).
fof(f1738,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK3))
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1737,f152]) ).
fof(f1737,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK3))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1736,f153]) ).
fof(f1736,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK3))
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f1730,f154]) ).
fof(f1730,plain,
! [X0] :
( ~ m1_group_2(X0,sK9(sK3))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| m1_group_2(X0,sK0) ),
inference(resolution,[],[f1726,f823]) ).
fof(f3155,plain,
spl22_42,
inference(avatar_contradiction_clause,[],[f3154]) ).
fof(f3154,plain,
( $false
| spl22_42 ),
inference(subsumption_resolution,[],[f3153,f463]) ).
fof(f3153,plain,
( ~ l1_group_1(sK5)
| spl22_42 ),
inference(resolution,[],[f3151,f174]) ).
fof(f174,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f3151,plain,
( ~ l1_struct_0(sK5)
| spl22_42 ),
inference(avatar_component_clause,[],[f3149]) ).
fof(f3149,plain,
( spl22_42
<=> l1_struct_0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_42])]) ).
fof(f3152,plain,
( spl22_41
| ~ spl22_42
| ~ spl22_5
| spl22_8
| spl22_13
| ~ spl22_18 ),
inference(avatar_split_clause,[],[f3129,f1179,f1088,f917,f886,f3149,f3145]) ).
fof(f3145,plain,
( spl22_41
<=> r2_hidden(sK10(sK8(sK5)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_41])]) ).
fof(f3129,plain,
( ~ l1_struct_0(sK5)
| r2_hidden(sK10(sK8(sK5)),u1_struct_0(sK1))
| ~ spl22_5
| spl22_8
| spl22_13
| ~ spl22_18 ),
inference(subsumption_resolution,[],[f3125,f379]) ).
fof(f3125,plain,
( v3_struct_0(sK5)
| ~ l1_struct_0(sK5)
| r2_hidden(sK10(sK8(sK5)),u1_struct_0(sK1))
| ~ spl22_5
| spl22_8
| spl22_13
| ~ spl22_18 ),
inference(resolution,[],[f2694,f1222]) ).
fof(f2694,plain,
! [X0] :
( r2_hidden(sK10(sK8(X0)),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(subsumption_resolution,[],[f2688,f181]) ).
fof(f181,plain,
! [X0] :
( ~ v1_xboole_0(sK8(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( ~ v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f68,f118]) ).
fof(f118,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f2688,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r2_hidden(sK10(sK8(X0)),u1_struct_0(X0))
| v1_xboole_0(sK8(X0)) ),
inference(resolution,[],[f1277,f259]) ).
fof(f1277,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK8(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| r2_hidden(X0,u1_struct_0(X1)) ),
inference(subsumption_resolution,[],[f1276,f179]) ).
fof(f179,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f1276,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK8(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(X0,u1_struct_0(X1)) ),
inference(resolution,[],[f361,f199]) ).
fof(f361,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK8(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(resolution,[],[f227,f180]) ).
fof(f180,plain,
! [X0] :
( m1_subset_1(sK8(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f3141,plain,
spl22_40,
inference(avatar_contradiction_clause,[],[f3140]) ).
fof(f3140,plain,
( $false
| spl22_40 ),
inference(subsumption_resolution,[],[f3139,f466]) ).
fof(f3139,plain,
( ~ l1_group_1(sK6)
| spl22_40 ),
inference(resolution,[],[f3137,f174]) ).
fof(f3137,plain,
( ~ l1_struct_0(sK6)
| spl22_40 ),
inference(avatar_component_clause,[],[f3135]) ).
fof(f3135,plain,
( spl22_40
<=> l1_struct_0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_40])]) ).
fof(f3138,plain,
( spl22_39
| ~ spl22_40
| ~ spl22_5
| spl22_8 ),
inference(avatar_split_clause,[],[f3128,f917,f886,f3135,f3131]) ).
fof(f3131,plain,
( spl22_39
<=> r2_hidden(sK10(sK8(sK6)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_39])]) ).
fof(f3128,plain,
( ~ l1_struct_0(sK6)
| r2_hidden(sK10(sK8(sK6)),u1_struct_0(sK1))
| ~ spl22_5
| spl22_8 ),
inference(subsumption_resolution,[],[f3124,f382]) ).
fof(f3124,plain,
( v3_struct_0(sK6)
| ~ l1_struct_0(sK6)
| r2_hidden(sK10(sK8(sK6)),u1_struct_0(sK1))
| ~ spl22_5
| spl22_8 ),
inference(resolution,[],[f2694,f1072]) ).
fof(f2958,plain,
( spl22_36
| ~ spl22_37
| spl22_38 ),
inference(avatar_split_clause,[],[f1651,f2955,f2951,f2947]) ).
fof(f2947,plain,
( spl22_36
<=> v3_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_36])]) ).
fof(f2951,plain,
( spl22_37
<=> v3_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_37])]) ).
fof(f2955,plain,
( spl22_38
<=> u1_group_1(sK9(sK19)) = k1_realset1(u1_group_1(sK19),u1_struct_0(sK9(sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_38])]) ).
fof(f1651,plain,
( u1_group_1(sK9(sK19)) = k1_realset1(u1_group_1(sK19),u1_struct_0(sK9(sK19)))
| ~ v3_group_1(sK19)
| v3_struct_0(sK19) ),
inference(resolution,[],[f1158,f235]) ).
fof(f235,plain,
l1_group_1(sK19),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
l1_group_1(sK19),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f24,f145]) ).
fof(f145,plain,
( ? [X0] : l1_group_1(X0)
=> l1_group_1(sK19) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_group_1) ).
fof(f1158,plain,
! [X0] :
( ~ l1_group_1(X0)
| u1_group_1(sK9(X0)) = k1_realset1(u1_group_1(X0),u1_struct_0(sK9(X0)))
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f1152]) ).
fof(f1152,plain,
! [X0] :
( u1_group_1(sK9(X0)) = k1_realset1(u1_group_1(X0),u1_struct_0(sK9(X0)))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f1116,f189]) ).
fof(f1116,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f1115,f185]) ).
fof(f1115,plain,
! [X0,X1] :
( u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f1114,f184]) ).
fof(f1114,plain,
! [X0,X1] :
( u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f187,f183]) ).
fof(f187,plain,
! [X0,X1] :
( u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( ( m1_group_2(X1,X0)
| u1_group_1(X1) != k1_realset1(u1_group_1(X0),u1_struct_0(X1))
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
& ( ( u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) ) )
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ( ( m1_group_2(X1,X0)
| u1_group_1(X1) != k1_realset1(u1_group_1(X0),u1_struct_0(X1))
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
& ( ( u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) ) )
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( m1_group_2(X1,X0)
<=> ( u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) )
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( m1_group_2(X1,X0)
<=> ( u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) )
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( m1_group_2(X1,X0)
<=> ( u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_group_2) ).
fof(f2515,plain,
( ~ spl22_34
| spl22_35 ),
inference(avatar_split_clause,[],[f1878,f2513,f2509]) ).
fof(f2509,plain,
( spl22_34
<=> v4_group_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_34])]) ).
fof(f2513,plain,
( spl22_35
<=> ! [X0] :
( m1_group_2(sK12(sK6,X0),sK1)
| ~ m1_group_2(X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_35])]) ).
fof(f1878,plain,
! [X0] :
( m1_group_2(sK12(sK6,X0),sK1)
| ~ m1_group_2(X0,sK6)
| ~ v4_group_1(sK6) ),
inference(subsumption_resolution,[],[f1877,f382]) ).
fof(f1877,plain,
! [X0] :
( m1_group_2(sK12(sK6,X0),sK1)
| ~ m1_group_2(X0,sK6)
| ~ v4_group_1(sK6)
| v3_struct_0(sK6) ),
inference(subsumption_resolution,[],[f1876,f433]) ).
fof(f1876,plain,
! [X0] :
( m1_group_2(sK12(sK6,X0),sK1)
| ~ m1_group_2(X0,sK6)
| ~ v4_group_1(sK6)
| ~ v3_group_1(sK6)
| v3_struct_0(sK6) ),
inference(subsumption_resolution,[],[f1871,f466]) ).
fof(f1871,plain,
! [X0] :
( m1_group_2(sK12(sK6,X0),sK1)
| ~ m1_group_2(X0,sK6)
| ~ l1_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ v3_group_1(sK6)
| v3_struct_0(sK6) ),
inference(resolution,[],[f1716,f709]) ).
fof(f2507,plain,
( ~ spl22_32
| spl22_33 ),
inference(avatar_split_clause,[],[f1831,f2505,f2501]) ).
fof(f2501,plain,
( spl22_32
<=> v4_group_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_32])]) ).
fof(f2505,plain,
( spl22_33
<=> ! [X0] :
( m1_group_2(sK12(sK5,X0),sK1)
| ~ m1_group_2(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_33])]) ).
fof(f1831,plain,
! [X0] :
( m1_group_2(sK12(sK5,X0),sK1)
| ~ m1_group_2(X0,sK5)
| ~ v4_group_1(sK5) ),
inference(subsumption_resolution,[],[f1830,f379]) ).
fof(f1830,plain,
! [X0] :
( m1_group_2(sK12(sK5,X0),sK1)
| ~ m1_group_2(X0,sK5)
| ~ v4_group_1(sK5)
| v3_struct_0(sK5) ),
inference(subsumption_resolution,[],[f1829,f430]) ).
fof(f1829,plain,
! [X0] :
( m1_group_2(sK12(sK5,X0),sK1)
| ~ m1_group_2(X0,sK5)
| ~ v4_group_1(sK5)
| ~ v3_group_1(sK5)
| v3_struct_0(sK5) ),
inference(subsumption_resolution,[],[f1824,f463]) ).
fof(f1824,plain,
! [X0] :
( m1_group_2(sK12(sK5,X0),sK1)
| ~ m1_group_2(X0,sK5)
| ~ l1_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v3_group_1(sK5)
| v3_struct_0(sK5) ),
inference(resolution,[],[f1712,f709]) ).
fof(f2499,plain,
( ~ spl22_30
| spl22_31 ),
inference(avatar_split_clause,[],[f1729,f2497,f2493]) ).
fof(f2493,plain,
( spl22_30
<=> v4_group_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_30])]) ).
fof(f2497,plain,
( spl22_31
<=> ! [X0] :
( m1_group_2(sK12(sK3,X0),sK0)
| ~ m1_group_2(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_31])]) ).
fof(f1729,plain,
! [X0] :
( m1_group_2(sK12(sK3,X0),sK0)
| ~ m1_group_2(X0,sK3)
| ~ v4_group_1(sK3) ),
inference(subsumption_resolution,[],[f1728,f373]) ).
fof(f1728,plain,
! [X0] :
( m1_group_2(sK12(sK3,X0),sK0)
| ~ m1_group_2(X0,sK3)
| ~ v4_group_1(sK3)
| v3_struct_0(sK3) ),
inference(subsumption_resolution,[],[f1727,f424]) ).
fof(f1727,plain,
! [X0] :
( m1_group_2(sK12(sK3,X0),sK0)
| ~ m1_group_2(X0,sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| v3_struct_0(sK3) ),
inference(subsumption_resolution,[],[f1722,f457]) ).
fof(f1722,plain,
! [X0] :
( m1_group_2(sK12(sK3,X0),sK0)
| ~ m1_group_2(X0,sK3)
| ~ l1_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ v3_group_1(sK3)
| v3_struct_0(sK3) ),
inference(resolution,[],[f1704,f709]) ).
fof(f2131,plain,
( ~ spl22_28
| spl22_29 ),
inference(avatar_split_clause,[],[f1719,f2129,f2125]) ).
fof(f2125,plain,
( spl22_28
<=> v4_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_28])]) ).
fof(f2129,plain,
( spl22_29
<=> ! [X0] :
( ~ m1_group_2(X0,sK3)
| m1_group_2(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_29])]) ).
fof(f1719,plain,
! [X0] :
( ~ m1_group_2(X0,sK3)
| ~ v4_group_1(sK4)
| m1_group_2(X0,sK4) ),
inference(subsumption_resolution,[],[f1718,f376]) ).
fof(f1718,plain,
! [X0] :
( ~ m1_group_2(X0,sK3)
| ~ v4_group_1(sK4)
| v3_struct_0(sK4)
| m1_group_2(X0,sK4) ),
inference(subsumption_resolution,[],[f1717,f427]) ).
fof(f1717,plain,
! [X0] :
( ~ m1_group_2(X0,sK3)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| m1_group_2(X0,sK4) ),
inference(subsumption_resolution,[],[f1692,f460]) ).
fof(f1692,plain,
! [X0] :
( ~ m1_group_2(X0,sK3)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| m1_group_2(X0,sK4) ),
inference(resolution,[],[f823,f766]) ).
fof(f766,plain,
m1_group_2(sK3,sK4),
inference(subsumption_resolution,[],[f765,f151]) ).
fof(f765,plain,
( m1_group_2(sK3,sK4)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f764,f152]) ).
fof(f764,plain,
( m1_group_2(sK3,sK4)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f763,f153]) ).
fof(f763,plain,
( m1_group_2(sK3,sK4)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f762,f154]) ).
fof(f762,plain,
( m1_group_2(sK3,sK4)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f759,f163]) ).
fof(f759,plain,
( m1_group_2(sK3,sK4)
| ~ m1_group_2(sK4,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f201,f168]) ).
fof(f168,plain,
m1_group_6(sK3,sK0,sK4),
inference(cnf_transformation,[],[f115]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ m1_group_6(X2,X0,X1)
| m1_group_2(X2,X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f1615,plain,
( spl22_26
| spl22_27
| ~ spl22_5
| spl22_8 ),
inference(avatar_split_clause,[],[f1078,f917,f886,f1612,f1608]) ).
fof(f1608,plain,
( spl22_26
<=> v1_xboole_0(sK10(k1_zfmisc_1(u1_struct_0(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_26])]) ).
fof(f1612,plain,
( spl22_27
<=> r2_hidden(sK10(sK10(k1_zfmisc_1(u1_struct_0(sK6)))),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_27])]) ).
fof(f1078,plain,
( r2_hidden(sK10(sK10(k1_zfmisc_1(u1_struct_0(sK6)))),u1_struct_0(sK1))
| v1_xboole_0(sK10(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl22_5
| spl22_8 ),
inference(resolution,[],[f1072,f629]) ).
fof(f1458,plain,
( spl22_13
| ~ spl22_24 ),
inference(avatar_contradiction_clause,[],[f1457]) ).
fof(f1457,plain,
( $false
| spl22_13
| ~ spl22_24 ),
inference(subsumption_resolution,[],[f1447,f1089]) ).
fof(f1447,plain,
( v1_xboole_0(u1_struct_0(sK6))
| ~ spl22_24 ),
inference(resolution,[],[f1378,f754]) ).
fof(f754,plain,
! [X0] :
( r2_hidden(sK10(sK7(sK7(sK7(sK7(X0))))),X0)
| v1_xboole_0(X0) ),
inference(duplicate_literal_removal,[],[f753]) ).
fof(f753,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(X0)
| r2_hidden(sK10(sK7(sK7(sK7(sK7(X0))))),X0) ),
inference(resolution,[],[f612,f199]) ).
fof(f612,plain,
! [X0] :
( m1_subset_1(sK10(sK7(sK7(sK7(sK7(X0))))),X0)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f604,f173]) ).
fof(f173,plain,
! [X0] :
( ~ v1_xboole_0(sK7(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ( ~ v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f61,f116]) ).
fof(f116,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f604,plain,
! [X0] :
( v1_xboole_0(sK7(X0))
| m1_subset_1(sK10(sK7(sK7(sK7(sK7(X0))))),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f539,f360]) ).
fof(f360,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK7(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) ),
inference(resolution,[],[f227,f172]) ).
fof(f172,plain,
! [X0] :
( m1_subset_1(sK7(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f539,plain,
! [X0] :
( r2_hidden(sK10(sK7(sK7(sK7(X0)))),X0)
| v1_xboole_0(X0) ),
inference(duplicate_literal_removal,[],[f538]) ).
fof(f538,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(X0)
| r2_hidden(sK10(sK7(sK7(sK7(X0)))),X0) ),
inference(resolution,[],[f512,f199]) ).
fof(f512,plain,
! [X0] :
( m1_subset_1(sK10(sK7(sK7(sK7(X0)))),X0)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f507,f173]) ).
fof(f507,plain,
! [X0] :
( v1_xboole_0(sK7(X0))
| m1_subset_1(sK10(sK7(sK7(sK7(X0)))),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f477,f360]) ).
fof(f477,plain,
! [X0] :
( r2_hidden(sK10(sK7(sK7(X0))),X0)
| v1_xboole_0(X0) ),
inference(duplicate_literal_removal,[],[f476]) ).
fof(f476,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(X0)
| r2_hidden(sK10(sK7(sK7(X0))),X0) ),
inference(resolution,[],[f446,f199]) ).
fof(f446,plain,
! [X0] :
( m1_subset_1(sK10(sK7(sK7(X0))),X0)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f442,f173]) ).
fof(f442,plain,
! [X0] :
( v1_xboole_0(sK7(X0))
| m1_subset_1(sK10(sK7(sK7(X0))),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f411,f360]) ).
fof(f411,plain,
! [X0] :
( r2_hidden(sK10(sK7(X0)),X0)
| v1_xboole_0(X0) ),
inference(duplicate_literal_removal,[],[f410]) ).
fof(f410,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(X0)
| r2_hidden(sK10(sK7(X0)),X0) ),
inference(resolution,[],[f405,f199]) ).
fof(f405,plain,
! [X0] :
( m1_subset_1(sK10(sK7(X0)),X0)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f404,f173]) ).
fof(f404,plain,
! [X0] :
( m1_subset_1(sK10(sK7(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK7(X0)) ),
inference(resolution,[],[f360,f259]) ).
fof(f1378,plain,
( ! [X1] : ~ r2_hidden(X1,u1_struct_0(sK6))
| ~ spl22_24 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f1377,plain,
( spl22_24
<=> ! [X1] : ~ r2_hidden(X1,u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_24])]) ).
fof(f1456,plain,
( spl22_13
| ~ spl22_24 ),
inference(avatar_contradiction_clause,[],[f1455]) ).
fof(f1455,plain,
( $false
| spl22_13
| ~ spl22_24 ),
inference(subsumption_resolution,[],[f1446,f1089]) ).
fof(f1446,plain,
( v1_xboole_0(u1_struct_0(sK6))
| ~ spl22_24 ),
inference(resolution,[],[f1378,f539]) ).
fof(f1454,plain,
( spl22_13
| ~ spl22_24 ),
inference(avatar_contradiction_clause,[],[f1453]) ).
fof(f1453,plain,
( $false
| spl22_13
| ~ spl22_24 ),
inference(subsumption_resolution,[],[f1445,f1089]) ).
fof(f1445,plain,
( v1_xboole_0(u1_struct_0(sK6))
| ~ spl22_24 ),
inference(resolution,[],[f1378,f477]) ).
fof(f1452,plain,
( spl22_13
| ~ spl22_24 ),
inference(avatar_contradiction_clause,[],[f1451]) ).
fof(f1451,plain,
( $false
| spl22_13
| ~ spl22_24 ),
inference(subsumption_resolution,[],[f1444,f1089]) ).
fof(f1444,plain,
( v1_xboole_0(u1_struct_0(sK6))
| ~ spl22_24 ),
inference(resolution,[],[f1378,f411]) ).
fof(f1450,plain,
( spl22_13
| ~ spl22_24 ),
inference(avatar_contradiction_clause,[],[f1449]) ).
fof(f1449,plain,
( $false
| spl22_13
| ~ spl22_24 ),
inference(subsumption_resolution,[],[f1443,f1089]) ).
fof(f1443,plain,
( v1_xboole_0(u1_struct_0(sK6))
| ~ spl22_24 ),
inference(resolution,[],[f1378,f259]) ).
fof(f1382,plain,
( spl22_24
| spl22_25
| ~ spl22_5 ),
inference(avatar_split_clause,[],[f1132,f886,f1380,f1377]) ).
fof(f1380,plain,
( spl22_25
<=> ! [X0] :
( ~ r1_tarski(u1_struct_0(sK4),X0)
| ~ v1_xboole_0(k9_relat_1(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_25])]) ).
fof(f1132,plain,
( ! [X0,X1] :
( ~ r1_tarski(u1_struct_0(sK4),X0)
| ~ r2_hidden(X1,u1_struct_0(sK6))
| ~ v1_xboole_0(k9_relat_1(sK2,X0)) )
| ~ spl22_5 ),
inference(resolution,[],[f1033,f286]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f230,f210]) ).
fof(f1033,plain,
( ! [X0] :
( r1_tarski(u1_struct_0(sK6),k9_relat_1(sK2,X0))
| ~ r1_tarski(u1_struct_0(sK4),X0) )
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f1031,f348]) ).
fof(f348,plain,
v1_relat_1(sK2),
inference(resolution,[],[f343,f161]) ).
fof(f161,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f115]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f223,f226]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f223,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1031,plain,
( ! [X0] :
( r1_tarski(u1_struct_0(sK6),k9_relat_1(sK2,X0))
| ~ r1_tarski(u1_struct_0(sK4),X0)
| ~ v1_relat_1(sK2) )
| ~ spl22_5 ),
inference(superposition,[],[f222,f1016]) ).
fof(f222,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t156_relat_1) ).
fof(f1369,plain,
( spl22_7
| spl22_23
| ~ spl22_5 ),
inference(avatar_split_clause,[],[f1124,f886,f1367,f914]) ).
fof(f914,plain,
( spl22_7
<=> ! [X0] : ~ r2_hidden(X0,u1_struct_0(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).
fof(f1367,plain,
( spl22_23
<=> ! [X0] :
( ~ r1_tarski(u1_struct_0(sK3),X0)
| ~ v1_xboole_0(k9_relat_1(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_23])]) ).
fof(f1124,plain,
( ! [X0,X1] :
( ~ r1_tarski(u1_struct_0(sK3),X0)
| ~ r2_hidden(X1,u1_struct_0(sK5))
| ~ v1_xboole_0(k9_relat_1(sK2,X0)) )
| ~ spl22_5 ),
inference(resolution,[],[f1026,f286]) ).
fof(f1026,plain,
( ! [X0] :
( r1_tarski(u1_struct_0(sK5),k9_relat_1(sK2,X0))
| ~ r1_tarski(u1_struct_0(sK3),X0) )
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f1024,f348]) ).
fof(f1024,plain,
( ! [X0] :
( r1_tarski(u1_struct_0(sK5),k9_relat_1(sK2,X0))
| ~ r1_tarski(u1_struct_0(sK3),X0)
| ~ v1_relat_1(sK2) )
| ~ spl22_5 ),
inference(superposition,[],[f222,f1015]) ).
fof(f1015,plain,
( u1_struct_0(sK5) = k9_relat_1(sK2,u1_struct_0(sK3))
| ~ spl22_5 ),
inference(superposition,[],[f930,f166]) ).
fof(f166,plain,
k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5),
inference(cnf_transformation,[],[f115]) ).
fof(f1273,plain,
( ~ spl22_21
| ~ spl22_22
| spl22_13
| ~ spl22_17
| ~ spl22_18
| spl22_19 ),
inference(avatar_split_clause,[],[f1231,f1197,f1179,f1175,f1088,f1270,f1266]) ).
fof(f1266,plain,
( spl22_21
<=> r2_hidden(u1_struct_0(sK4),u1_struct_0(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_21])]) ).
fof(f1270,plain,
( spl22_22
<=> r2_hidden(u1_struct_0(sK6),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_22])]) ).
fof(f1175,plain,
( spl22_17
<=> r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_17])]) ).
fof(f1197,plain,
( spl22_19
<=> v1_xboole_0(u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_19])]) ).
fof(f1231,plain,
( ~ r2_hidden(u1_struct_0(sK6),u1_struct_0(sK3))
| ~ r2_hidden(u1_struct_0(sK4),u1_struct_0(sK5))
| spl22_13
| ~ spl22_17
| ~ spl22_18
| spl22_19 ),
inference(resolution,[],[f1219,f1217]) ).
fof(f1219,plain,
( ! [X0] :
( ~ r2_hidden(u1_struct_0(sK4),X0)
| ~ r2_hidden(X0,u1_struct_0(sK3)) )
| ~ spl22_17
| spl22_19 ),
inference(resolution,[],[f1215,f197]) ).
fof(f197,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f1215,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(sK4))
| ~ r2_hidden(X0,u1_struct_0(sK3)) )
| ~ spl22_17
| spl22_19 ),
inference(subsumption_resolution,[],[f1214,f1199]) ).
fof(f1199,plain,
( ~ v1_xboole_0(u1_struct_0(sK4))
| spl22_19 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f1214,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK4))
| r2_hidden(X0,u1_struct_0(sK4)) )
| ~ spl22_17 ),
inference(resolution,[],[f1190,f199]) ).
fof(f1190,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK4))
| ~ r2_hidden(X0,u1_struct_0(sK3)) )
| ~ spl22_17 ),
inference(resolution,[],[f1176,f357]) ).
fof(f1176,plain,
( r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| ~ spl22_17 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1203,plain,
( ~ spl22_19
| spl22_20
| ~ spl22_17 ),
inference(avatar_split_clause,[],[f1191,f1175,f1201,f1197]) ).
fof(f1201,plain,
( spl22_20
<=> ! [X0] : ~ r2_hidden(X0,u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_20])]) ).
fof(f1191,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK3))
| ~ v1_xboole_0(u1_struct_0(sK4)) )
| ~ spl22_17 ),
inference(resolution,[],[f1176,f286]) ).
fof(f1188,plain,
spl22_17,
inference(avatar_contradiction_clause,[],[f1187]) ).
fof(f1187,plain,
( $false
| spl22_17 ),
inference(subsumption_resolution,[],[f1186,f376]) ).
fof(f1186,plain,
( v3_struct_0(sK4)
| spl22_17 ),
inference(subsumption_resolution,[],[f1185,f427]) ).
fof(f1185,plain,
( ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| spl22_17 ),
inference(subsumption_resolution,[],[f1184,f460]) ).
fof(f1184,plain,
( ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| spl22_17 ),
inference(subsumption_resolution,[],[f1183,f766]) ).
fof(f1183,plain,
( ~ m1_group_2(sK3,sK4)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| spl22_17 ),
inference(resolution,[],[f1177,f978]) ).
fof(f978,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f977,f185]) ).
fof(f977,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f976,f184]) ).
fof(f976,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f186,f183]) ).
fof(f186,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f1177,plain,
( ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| spl22_17 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1182,plain,
( ~ spl22_17
| spl22_18
| ~ spl22_5 ),
inference(avatar_split_clause,[],[f1126,f886,f1179,f1175]) ).
fof(f1126,plain,
( r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| ~ spl22_5 ),
inference(superposition,[],[f1026,f1016]) ).
fof(f1143,plain,
( ~ spl22_15
| spl22_16
| ~ spl22_5 ),
inference(avatar_split_clause,[],[f1122,f886,f1140,f1136]) ).
fof(f1136,plain,
( spl22_15
<=> r1_tarski(u1_struct_0(sK4),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).
fof(f1140,plain,
( spl22_16
<=> r1_tarski(u1_struct_0(sK6),u1_struct_0(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_16])]) ).
fof(f1122,plain,
( r1_tarski(u1_struct_0(sK6),u1_struct_0(sK5))
| ~ r1_tarski(u1_struct_0(sK4),u1_struct_0(sK3))
| ~ spl22_5 ),
inference(superposition,[],[f1025,f1016]) ).
fof(f1025,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sK2,X0),u1_struct_0(sK5))
| ~ r1_tarski(X0,u1_struct_0(sK3)) )
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f1023,f348]) ).
fof(f1023,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sK2,X0),u1_struct_0(sK5))
| ~ r1_tarski(X0,u1_struct_0(sK3))
| ~ v1_relat_1(sK2) )
| ~ spl22_5 ),
inference(superposition,[],[f222,f1015]) ).
fof(f1113,plain,
~ spl22_13,
inference(avatar_contradiction_clause,[],[f1112]) ).
fof(f1112,plain,
( $false
| ~ spl22_13 ),
inference(subsumption_resolution,[],[f1111,f466]) ).
fof(f1111,plain,
( ~ l1_group_1(sK6)
| ~ spl22_13 ),
inference(resolution,[],[f1110,f174]) ).
fof(f1110,plain,
( ~ l1_struct_0(sK6)
| ~ spl22_13 ),
inference(subsumption_resolution,[],[f1096,f382]) ).
fof(f1096,plain,
( ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| ~ spl22_13 ),
inference(resolution,[],[f1090,f179]) ).
fof(f1090,plain,
( v1_xboole_0(u1_struct_0(sK6))
| ~ spl22_13 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1095,plain,
( spl22_13
| spl22_14
| ~ spl22_5
| spl22_8 ),
inference(avatar_split_clause,[],[f1073,f917,f886,f1092,f1088]) ).
fof(f1092,plain,
( spl22_14
<=> r2_hidden(sK10(u1_struct_0(sK6)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).
fof(f1073,plain,
( r2_hidden(sK10(u1_struct_0(sK6)),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK6))
| ~ spl22_5
| spl22_8 ),
inference(resolution,[],[f1072,f259]) ).
fof(f1012,plain,
( ~ spl22_7
| spl22_11 ),
inference(avatar_contradiction_clause,[],[f1011]) ).
fof(f1011,plain,
( $false
| ~ spl22_7
| spl22_11 ),
inference(subsumption_resolution,[],[f1001,f951]) ).
fof(f951,plain,
( ~ v1_xboole_0(u1_struct_0(sK5))
| spl22_11 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f950,plain,
( spl22_11
<=> v1_xboole_0(u1_struct_0(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).
fof(f1001,plain,
( v1_xboole_0(u1_struct_0(sK5))
| ~ spl22_7 ),
inference(resolution,[],[f915,f754]) ).
fof(f915,plain,
( ! [X0] : ~ r2_hidden(X0,u1_struct_0(sK5))
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f1010,plain,
( ~ spl22_7
| spl22_11 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1009,plain,
( $false
| ~ spl22_7
| spl22_11 ),
inference(subsumption_resolution,[],[f1000,f951]) ).
fof(f1000,plain,
( v1_xboole_0(u1_struct_0(sK5))
| ~ spl22_7 ),
inference(resolution,[],[f915,f539]) ).
fof(f1008,plain,
( ~ spl22_7
| spl22_11 ),
inference(avatar_contradiction_clause,[],[f1007]) ).
fof(f1007,plain,
( $false
| ~ spl22_7
| spl22_11 ),
inference(subsumption_resolution,[],[f999,f951]) ).
fof(f999,plain,
( v1_xboole_0(u1_struct_0(sK5))
| ~ spl22_7 ),
inference(resolution,[],[f915,f477]) ).
fof(f1006,plain,
( ~ spl22_7
| spl22_11 ),
inference(avatar_contradiction_clause,[],[f1005]) ).
fof(f1005,plain,
( $false
| ~ spl22_7
| spl22_11 ),
inference(subsumption_resolution,[],[f998,f951]) ).
fof(f998,plain,
( v1_xboole_0(u1_struct_0(sK5))
| ~ spl22_7 ),
inference(resolution,[],[f915,f411]) ).
fof(f1004,plain,
( ~ spl22_7
| spl22_11 ),
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1003,plain,
( $false
| ~ spl22_7
| spl22_11 ),
inference(subsumption_resolution,[],[f997,f951]) ).
fof(f997,plain,
( v1_xboole_0(u1_struct_0(sK5))
| ~ spl22_7 ),
inference(resolution,[],[f915,f259]) ).
fof(f996,plain,
~ spl22_8,
inference(avatar_contradiction_clause,[],[f995]) ).
fof(f995,plain,
( $false
| ~ spl22_8 ),
inference(subsumption_resolution,[],[f994,f158]) ).
fof(f994,plain,
( ~ l1_group_1(sK1)
| ~ spl22_8 ),
inference(resolution,[],[f993,f174]) ).
fof(f993,plain,
( ~ l1_struct_0(sK1)
| ~ spl22_8 ),
inference(subsumption_resolution,[],[f979,f155]) ).
fof(f979,plain,
( ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ spl22_8 ),
inference(resolution,[],[f918,f179]) ).
fof(f918,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f975,plain,
~ spl22_11,
inference(avatar_contradiction_clause,[],[f974]) ).
fof(f974,plain,
( $false
| ~ spl22_11 ),
inference(subsumption_resolution,[],[f973,f463]) ).
fof(f973,plain,
( ~ l1_group_1(sK5)
| ~ spl22_11 ),
inference(resolution,[],[f972,f174]) ).
fof(f972,plain,
( ~ l1_struct_0(sK5)
| ~ spl22_11 ),
inference(subsumption_resolution,[],[f958,f379]) ).
fof(f958,plain,
( ~ l1_struct_0(sK5)
| v3_struct_0(sK5)
| ~ spl22_11 ),
inference(resolution,[],[f952,f179]) ).
fof(f952,plain,
( v1_xboole_0(u1_struct_0(sK5))
| ~ spl22_11 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f957,plain,
( spl22_11
| spl22_12
| ~ spl22_6
| spl22_8 ),
inference(avatar_split_clause,[],[f943,f917,f890,f954,f950]) ).
fof(f954,plain,
( spl22_12
<=> r2_hidden(sK10(u1_struct_0(sK5)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).
fof(f890,plain,
( spl22_6
<=> m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
fof(f943,plain,
( r2_hidden(sK10(u1_struct_0(sK5)),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK5))
| ~ spl22_6
| spl22_8 ),
inference(resolution,[],[f942,f259]) ).
fof(f942,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK5))
| r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl22_6
| spl22_8 ),
inference(subsumption_resolution,[],[f941,f919]) ).
fof(f941,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK5))
| v1_xboole_0(u1_struct_0(sK1))
| r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl22_6 ),
inference(resolution,[],[f901,f199]) ).
fof(f901,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK1))
| ~ r2_hidden(X0,u1_struct_0(sK5)) )
| ~ spl22_6 ),
inference(resolution,[],[f892,f227]) ).
fof(f892,plain,
( m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f940,plain,
( spl22_9
| ~ spl22_10
| ~ spl22_5
| spl22_8 ),
inference(avatar_split_clause,[],[f931,f917,f886,f937,f933]) ).
fof(f933,plain,
( spl22_9
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).
fof(f937,plain,
( spl22_10
<=> v1_xboole_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_10])]) ).
fof(f931,plain,
( ~ v1_xboole_0(sK2)
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl22_5
| spl22_8 ),
inference(subsumption_resolution,[],[f900,f919]) ).
fof(f900,plain,
( ~ v1_xboole_0(sK2)
| v1_xboole_0(u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f899,f159]) ).
fof(f899,plain,
( ~ v1_funct_1(sK2)
| ~ v1_xboole_0(sK2)
| v1_xboole_0(u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f897,f160]) ).
fof(f897,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_xboole_0(sK2)
| v1_xboole_0(u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl22_5 ),
inference(resolution,[],[f887,f206]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_funct_2) ).
fof(f920,plain,
( spl22_7
| ~ spl22_8
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f902,f890,f917,f914]) ).
fof(f902,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(sK1))
| ~ r2_hidden(X0,u1_struct_0(sK5)) )
| ~ spl22_6 ),
inference(resolution,[],[f892,f230]) ).
fof(f896,plain,
spl22_5,
inference(avatar_contradiction_clause,[],[f895]) ).
fof(f895,plain,
( $false
| spl22_5 ),
inference(subsumption_resolution,[],[f894,f161]) ).
fof(f894,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl22_5 ),
inference(resolution,[],[f888,f228]) ).
fof(f228,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f888,plain,
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl22_5 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f893,plain,
( ~ spl22_5
| spl22_6 ),
inference(avatar_split_clause,[],[f882,f890,f886]) ).
fof(f882,plain,
( m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(subsumption_resolution,[],[f881,f159]) ).
fof(f881,plain,
( m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2) ),
inference(subsumption_resolution,[],[f878,f160]) ).
fof(f878,plain,
( m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2) ),
inference(superposition,[],[f231,f166]) ).
fof(f566,plain,
~ spl22_3,
inference(avatar_contradiction_clause,[],[f565]) ).
fof(f565,plain,
( $false
| ~ spl22_3 ),
inference(subsumption_resolution,[],[f558,f171]) ).
fof(f171,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f558,plain,
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| ~ spl22_3 ),
inference(resolution,[],[f552,f173]) ).
fof(f552,plain,
( v1_xboole_0(sK7(k1_zfmisc_1(k1_xboole_0)))
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl22_3
<=> v1_xboole_0(sK7(k1_zfmisc_1(k1_xboole_0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f557,plain,
( spl22_3
| spl22_4 ),
inference(avatar_split_clause,[],[f499,f554,f550]) ).
fof(f554,plain,
( spl22_4
<=> r2_hidden(k1_xboole_0,sK7(k1_zfmisc_1(k1_xboole_0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
fof(f499,plain,
( r2_hidden(k1_xboole_0,sK7(k1_zfmisc_1(k1_xboole_0)))
| v1_xboole_0(sK7(k1_zfmisc_1(k1_xboole_0))) ),
inference(superposition,[],[f259,f485]) ).
fof(f485,plain,
k1_xboole_0 = sK10(sK7(k1_zfmisc_1(k1_xboole_0))),
inference(resolution,[],[f471,f170]) ).
fof(f170,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f471,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK10(sK7(k1_zfmisc_1(X0))) ),
inference(resolution,[],[f447,f178]) ).
fof(f178,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f447,plain,
! [X0] :
( v1_xboole_0(sK10(sK7(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f413,f259]) ).
fof(f413,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sK10(sK7(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f407,f171]) ).
fof(f407,plain,
! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK10(sK7(k1_zfmisc_1(X0)))) ),
inference(resolution,[],[f405,f230]) ).
fof(f298,plain,
( spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f291,f296,f293]) ).
fof(f293,plain,
( spl22_1
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f296,plain,
( spl22_2
<=> ! [X1] : ~ r2_hidden(X1,k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
fof(f291,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k1_xboole_0)
| ~ v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f290,f241]) ).
fof(f241,plain,
! [X0] : k1_xboole_0 = sK11(X0),
inference(resolution,[],[f178,f192]) ).
fof(f192,plain,
! [X0] : v1_xboole_0(sK11(X0)),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( v1_xboole_0(sK11(X0))
& m1_subset_1(sK11(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f39,f126]) ).
fof(f126,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK11(X0))
& m1_subset_1(sK11(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f290,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK11(X0)) ),
inference(resolution,[],[f230,f191]) ).
fof(f191,plain,
! [X0] : m1_subset_1(sK11(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP637+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:48:17 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (14345)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (14348)WARNING: value z3 for option sas not known
% 0.15/0.38 % (14347)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (14349)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (14346)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (14348)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (14350)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (14351)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (14352)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [3]
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.41 TRYING [4]
% 0.22/0.43 TRYING [3]
% 0.22/0.46 TRYING [5]
% 0.22/0.49 % (14348)First to succeed.
% 0.22/0.49 TRYING [4]
% 0.22/0.50 % (14348)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Theorem for theBenchmark
% 0.22/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50 % (14348)------------------------------
% 0.22/0.50 % (14348)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.50 % (14348)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (14348)Memory used [KB]: 2543
% 0.22/0.50 % (14348)Time elapsed: 0.115 s
% 0.22/0.50 % (14348)Instructions burned: 207 (million)
% 0.22/0.50 % (14348)------------------------------
% 0.22/0.50 % (14348)------------------------------
% 0.22/0.50 % (14345)Success in time 0.122 s
%------------------------------------------------------------------------------