TSTP Solution File: GRP638+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP638+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n012.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 : Wed Aug 31 16:17:25 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 26
% Syntax : Number of formulae : 177 ( 30 unt; 0 def)
% Number of atoms : 813 ( 59 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 952 ( 316 ~; 317 |; 250 &)
% ( 18 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 10 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 272 ( 209 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f908,plain,
$false,
inference(avatar_sat_refutation,[],[f439,f598,f635,f748,f755,f777,f785,f869,f880,f897]) ).
fof(f897,plain,
~ spl22_41,
inference(avatar_contradiction_clause,[],[f896]) ).
fof(f896,plain,
( $false
| ~ spl22_41 ),
inference(subsumption_resolution,[],[f895,f191]) ).
fof(f191,plain,
m1_group_2(sK6,sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( v4_group_1(sK1)
& l1_group_1(sK1)
& v3_group_1(sK1)
& v1_funct_1(sK2)
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
& m1_group_6(sK3,sK1,sK4)
& ~ m1_group_6(sK5,sK0,sK6)
& m1_group_2(sK6,sK0)
& k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) = u1_struct_0(sK6)
& m1_group_2(sK5,sK0)
& m1_group_2(sK4,sK1)
& m1_group_2(sK3,sK1)
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& ~ v3_struct_0(sK1)
& v4_group_1(sK0)
& l1_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])],[f100,f129,f128,f127,f126,f125,f124,f123]) ).
fof(f123,plain,
( ? [X0] :
( ? [X1] :
( v4_group_1(X1)
& l1_group_1(X1)
& v3_group_1(X1)
& ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_6(X3,X1,X4)
& ~ m1_group_6(X5,X0,X6)
& m1_group_2(X6,X0)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) )
& m1_group_2(X5,X0) )
& m1_group_2(X4,X1) )
& m1_group_2(X3,X1) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1) )
& v4_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( v4_group_1(X1)
& l1_group_1(X1)
& v3_group_1(X1)
& ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(X1))
& ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_6(X3,X1,X4)
& ~ m1_group_6(X5,sK0,X6)
& m1_group_2(X6,sK0)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X4)) )
& m1_group_2(X5,sK0) )
& m1_group_2(X4,X1) )
& m1_group_2(X3,X1) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1) )
& v4_group_1(sK0)
& l1_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
( ? [X1] :
( v4_group_1(X1)
& l1_group_1(X1)
& v3_group_1(X1)
& ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(X1))
& ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_6(X3,X1,X4)
& ~ m1_group_6(X5,sK0,X6)
& m1_group_2(X6,sK0)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X4)) )
& m1_group_2(X5,sK0) )
& m1_group_2(X4,X1) )
& m1_group_2(X3,X1) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1) )
=> ( v4_group_1(sK1)
& l1_group_1(sK1)
& v3_group_1(sK1)
& ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X3))
& m1_group_6(X3,sK1,X4)
& ~ m1_group_6(X5,sK0,X6)
& m1_group_2(X6,sK0)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X4)) )
& m1_group_2(X5,sK0) )
& m1_group_2(X4,sK1) )
& m1_group_2(X3,sK1) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(sK1)) )
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X3))
& m1_group_6(X3,sK1,X4)
& ~ m1_group_6(X5,sK0,X6)
& m1_group_2(X6,sK0)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X4)) )
& m1_group_2(X5,sK0) )
& m1_group_2(X4,sK1) )
& m1_group_2(X3,sK1) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(sK1)) )
=> ( v1_funct_1(sK2)
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X3))
& m1_group_6(X3,sK1,X4)
& ~ m1_group_6(X5,sK0,X6)
& m1_group_2(X6,sK0)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4)) )
& m1_group_2(X5,sK0) )
& m1_group_2(X4,sK1) )
& m1_group_2(X3,sK1) )
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X3))
& m1_group_6(X3,sK1,X4)
& ~ m1_group_6(X5,sK0,X6)
& m1_group_2(X6,sK0)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4)) )
& m1_group_2(X5,sK0) )
& m1_group_2(X4,sK1) )
& m1_group_2(X3,sK1) )
=> ( ? [X4] :
( ? [X5] :
( ? [X6] :
( u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_6(sK3,sK1,X4)
& ~ m1_group_6(X5,sK0,X6)
& m1_group_2(X6,sK0)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4)) )
& m1_group_2(X5,sK0) )
& m1_group_2(X4,sK1) )
& m1_group_2(sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_6(sK3,sK1,X4)
& ~ m1_group_6(X5,sK0,X6)
& m1_group_2(X6,sK0)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4)) )
& m1_group_2(X5,sK0) )
& m1_group_2(X4,sK1) )
=> ( ? [X5] :
( ? [X6] :
( u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_6(sK3,sK1,sK4)
& ~ m1_group_6(X5,sK0,X6)
& m1_group_2(X6,sK0)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) )
& m1_group_2(X5,sK0) )
& m1_group_2(sK4,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ? [X5] :
( ? [X6] :
( u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_6(sK3,sK1,sK4)
& ~ m1_group_6(X5,sK0,X6)
& m1_group_2(X6,sK0)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) )
& m1_group_2(X5,sK0) )
=> ( ? [X6] :
( k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
& m1_group_6(sK3,sK1,sK4)
& ~ m1_group_6(sK5,sK0,X6)
& m1_group_2(X6,sK0)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) )
& m1_group_2(sK5,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X6] :
( k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
& m1_group_6(sK3,sK1,sK4)
& ~ m1_group_6(sK5,sK0,X6)
& m1_group_2(X6,sK0)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) )
=> ( k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
& m1_group_6(sK3,sK1,sK4)
& ~ m1_group_6(sK5,sK0,sK6)
& m1_group_2(sK6,sK0)
& k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) = u1_struct_0(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( v4_group_1(X1)
& l1_group_1(X1)
& v3_group_1(X1)
& ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_6(X3,X1,X4)
& ~ m1_group_6(X5,X0,X6)
& m1_group_2(X6,X0)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) )
& m1_group_2(X5,X0) )
& m1_group_2(X4,X1) )
& m1_group_2(X3,X1) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1) )
& v4_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X0,X6)
& m1_group_6(X3,X1,X4)
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_2(X6,X0) )
& m1_group_2(X5,X0) )
& m1_group_2(X4,X1) )
& m1_group_2(X3,X1) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1)
& v4_group_1(X1) )
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
~ ! [X0] :
( ( v4_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1)
& v4_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( m1_group_2(X5,X0)
=> ! [X6] :
( m1_group_2(X6,X0)
=> ( ( m1_group_6(X3,X1,X4)
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) )
=> m1_group_6(X5,X0,X6) ) ) ) ) ) ) ) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v4_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1)
& v4_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1) )
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( m1_group_2(X5,X0)
=> ! [X6] :
( m1_group_2(X6,X0)
=> ( ( m1_group_6(X3,X1,X4)
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) )
=> m1_group_6(X5,X0,X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v4_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1)
& v4_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1) )
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( m1_group_2(X5,X0)
=> ! [X6] :
( m1_group_2(X6,X0)
=> ( ( m1_group_6(X3,X1,X4)
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) )
=> m1_group_6(X5,X0,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_latsubgr) ).
fof(f895,plain,
( ~ m1_group_2(sK6,sK0)
| ~ spl22_41 ),
inference(subsumption_resolution,[],[f894,f189]) ).
fof(f189,plain,
m1_group_2(sK5,sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f894,plain,
( ~ m1_group_2(sK5,sK0)
| ~ m1_group_2(sK6,sK0)
| ~ spl22_41 ),
inference(subsumption_resolution,[],[f893,f505]) ).
fof(f505,plain,
~ m1_group_2(sK5,sK6),
inference(subsumption_resolution,[],[f502,f191]) ).
fof(f502,plain,
( ~ m1_group_2(sK5,sK6)
| ~ m1_group_2(sK6,sK0) ),
inference(resolution,[],[f294,f192]) ).
fof(f192,plain,
~ m1_group_6(sK5,sK0,sK6),
inference(cnf_transformation,[],[f130]) ).
fof(f294,plain,
! [X8,X7] :
( m1_group_6(X7,sK0,X8)
| ~ m1_group_2(X8,sK0)
| ~ m1_group_2(X7,X8) ),
inference(subsumption_resolution,[],[f293,f183]) ).
fof(f183,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f293,plain,
! [X8,X7] :
( ~ m1_group_2(X8,sK0)
| ~ m1_group_2(X7,X8)
| m1_group_6(X7,sK0,X8)
| ~ l1_group_1(sK0) ),
inference(subsumption_resolution,[],[f292,f181]) ).
fof(f181,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f292,plain,
! [X8,X7] :
( ~ m1_group_2(X8,sK0)
| m1_group_6(X7,sK0,X8)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ m1_group_2(X7,X8) ),
inference(subsumption_resolution,[],[f282,f182]) ).
fof(f182,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f282,plain,
! [X8,X7] :
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(X7,X8)
| ~ m1_group_2(X8,sK0)
| ~ l1_group_1(sK0)
| m1_group_6(X7,sK0,X8) ),
inference(resolution,[],[f184,f257]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| m1_group_6(X2,X0,X1)
| v3_struct_0(X0)
| ~ m1_group_2(X2,X1)
| ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ m1_group_2(X1,X0)
| ! [X2] :
( ( m1_group_2(X2,X1)
| ~ m1_group_6(X2,X0,X1) )
& ( m1_group_6(X2,X0,X1)
| ~ m1_group_2(X2,X1) ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X1,X0] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X0,X1)
| ! [X2] :
( ( m1_group_2(X2,X0)
| ~ m1_group_6(X2,X1,X0) )
& ( m1_group_6(X2,X1,X0)
| ~ m1_group_2(X2,X0) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X0,X1)
| ! [X2] :
( m1_group_2(X2,X0)
<=> m1_group_6(X2,X1,X0) )
| v3_struct_0(X1)
| ~ v3_group_1(X1) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ! [X2] :
( m1_group_2(X2,X0)
<=> m1_group_6(X2,X1,X0) )
| ~ l1_group_1(X1)
| ~ m1_group_2(X0,X1)
| ~ v4_group_1(X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ( l1_group_1(X1)
& m1_group_2(X0,X1)
& v4_group_1(X1)
& ~ v3_struct_0(X1)
& v3_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X0)
<=> m1_group_6(X2,X1,X0) ) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X1,X0] :
( ( ~ v3_struct_0(X0)
& m1_group_2(X1,X0)
& v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(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(f184,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f893,plain,
( m1_group_2(sK5,sK6)
| ~ m1_group_2(sK6,sK0)
| ~ m1_group_2(sK5,sK0)
| ~ spl22_41 ),
inference(resolution,[],[f864,f291]) ).
fof(f291,plain,
! [X0,X1] :
( ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| m1_group_2(X0,X1)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f290,f182]) ).
fof(f290,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| m1_group_2(X0,X1)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X1,sK0)
| ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(subsumption_resolution,[],[f289,f181]) ).
fof(f289,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| v3_struct_0(sK0)
| ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_group_2(X1,sK0)
| ~ v3_group_1(sK0)
| m1_group_2(X0,X1) ),
inference(subsumption_resolution,[],[f278,f183]) ).
fof(f278,plain,
! [X0,X1] :
( ~ l1_group_1(sK0)
| m1_group_2(X0,X1)
| ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f184,f242]) ).
fof(f242,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| m1_group_2(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X2,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ! [X2] :
( m1_group_2(X1,X2)
| ~ m1_group_2(X2,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) )
| ~ m1_group_2(X1,X0) ) ),
inference(flattening,[],[f95]) ).
fof(f95,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) )
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ( v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(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(f864,plain,
( r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| ~ spl22_41 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f862,plain,
( spl22_41
<=> r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_41])]) ).
fof(f880,plain,
( spl22_15
| ~ spl22_17
| spl22_20
| ~ spl22_22
| spl22_42 ),
inference(avatar_contradiction_clause,[],[f879]) ).
fof(f879,plain,
( $false
| spl22_15
| ~ spl22_17
| spl22_20
| ~ spl22_22
| spl22_42 ),
inference(subsumption_resolution,[],[f878,f453]) ).
fof(f453,plain,
( ~ v3_struct_0(sK4)
| spl22_20 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f452,plain,
( spl22_20
<=> v3_struct_0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_20])]) ).
fof(f878,plain,
( v3_struct_0(sK4)
| spl22_15
| ~ spl22_17
| ~ spl22_22
| spl22_42 ),
inference(subsumption_resolution,[],[f877,f460]) ).
fof(f460,plain,
( l1_group_1(sK4)
| ~ spl22_22 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f459,plain,
( spl22_22
<=> l1_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_22])]) ).
fof(f877,plain,
( ~ l1_group_1(sK4)
| v3_struct_0(sK4)
| spl22_15
| ~ spl22_17
| spl22_42 ),
inference(subsumption_resolution,[],[f876,f411]) ).
fof(f411,plain,
v3_group_1(sK4),
inference(resolution,[],[f304,f188]) ).
fof(f188,plain,
m1_group_2(sK4,sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f304,plain,
! [X0] :
( ~ m1_group_2(X0,sK1)
| v3_group_1(X0) ),
inference(subsumption_resolution,[],[f303,f185]) ).
fof(f185,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f303,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ m1_group_2(X0,sK1)
| v3_group_1(X0) ),
inference(subsumption_resolution,[],[f298,f198]) ).
fof(f198,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f298,plain,
! [X0] :
( ~ l1_group_1(sK1)
| v3_group_1(X0)
| v3_struct_0(sK1)
| ~ m1_group_2(X0,sK1) ),
inference(resolution,[],[f197,f234]) ).
fof(f234,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| v3_group_1(X1)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ( l1_group_1(X1)
& ~ v3_struct_0(X1)
& v3_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| ~ v3_group_1(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& ~ v3_struct_0(X1)
& v3_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( l1_group_1(X1)
& ~ v3_struct_0(X1)
& v3_group_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f197,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f876,plain,
( ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ l1_group_1(sK4)
| spl22_15
| ~ spl22_17
| spl22_42 ),
inference(subsumption_resolution,[],[f875,f428]) ).
fof(f428,plain,
( l1_group_1(sK3)
| ~ spl22_17 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f427,plain,
( spl22_17
<=> l1_group_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_17])]) ).
fof(f875,plain,
( ~ l1_group_1(sK3)
| ~ v3_group_1(sK4)
| ~ l1_group_1(sK4)
| v3_struct_0(sK4)
| spl22_15
| spl22_42 ),
inference(subsumption_resolution,[],[f874,f410]) ).
fof(f410,plain,
v3_group_1(sK3),
inference(resolution,[],[f304,f187]) ).
fof(f187,plain,
m1_group_2(sK3,sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f874,plain,
( ~ v3_group_1(sK3)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ l1_group_1(sK3)
| spl22_15
| spl22_42 ),
inference(subsumption_resolution,[],[f873,f421]) ).
fof(f421,plain,
( ~ v3_struct_0(sK3)
| spl22_15 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f420,plain,
( spl22_15
<=> v3_struct_0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).
fof(f873,plain,
( v3_struct_0(sK3)
| ~ v3_group_1(sK4)
| ~ l1_group_1(sK3)
| v3_struct_0(sK4)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK3)
| spl22_42 ),
inference(subsumption_resolution,[],[f870,f522]) ).
fof(f522,plain,
m1_group_2(sK3,sK4),
inference(subsumption_resolution,[],[f517,f188]) ).
fof(f517,plain,
( ~ m1_group_2(sK4,sK1)
| m1_group_2(sK3,sK4) ),
inference(resolution,[],[f323,f193]) ).
fof(f193,plain,
m1_group_6(sK3,sK1,sK4),
inference(cnf_transformation,[],[f130]) ).
fof(f323,plain,
! [X2,X3] :
( ~ m1_group_6(X3,sK1,X2)
| m1_group_2(X3,X2)
| ~ m1_group_2(X2,sK1) ),
inference(subsumption_resolution,[],[f322,f197]) ).
fof(f322,plain,
! [X2,X3] :
( m1_group_2(X3,X2)
| ~ m1_group_2(X2,sK1)
| ~ m1_group_6(X3,sK1,X2)
| ~ v3_group_1(sK1) ),
inference(subsumption_resolution,[],[f321,f185]) ).
fof(f321,plain,
! [X2,X3] :
( m1_group_2(X3,X2)
| ~ m1_group_6(X3,sK1,X2)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ m1_group_2(X2,sK1) ),
inference(subsumption_resolution,[],[f308,f198]) ).
fof(f308,plain,
! [X2,X3] :
( m1_group_2(X3,X2)
| ~ m1_group_2(X2,sK1)
| ~ l1_group_1(sK1)
| ~ m1_group_6(X3,sK1,X2)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1) ),
inference(resolution,[],[f199,f258]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_2(X1,X0)
| m1_group_2(X2,X1)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_6(X2,X0,X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f199,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f870,plain,
( ~ m1_group_2(sK3,sK4)
| v3_struct_0(sK3)
| ~ l1_group_1(sK3)
| ~ v3_group_1(sK4)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK3)
| v3_struct_0(sK4)
| spl22_42 ),
inference(resolution,[],[f868,f215]) ).
fof(f215,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ l1_group_1(X1)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ~ v3_group_1(X0)
| ! [X1] :
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(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(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ~ v3_group_1(X0)
| ! [X1] :
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(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(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ~ v3_group_1(X0)
| ! [X1] :
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(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(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,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)) ) )
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X1) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0)
& v3_group_1(X0) )
=> ! [X1] :
( ( v3_group_1(X1)
& l1_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(f868,plain,
( ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| spl22_42 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f866,plain,
( spl22_42
<=> r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_42])]) ).
fof(f869,plain,
( spl22_41
| ~ spl22_42
| ~ spl22_2
| ~ spl22_34 ),
inference(avatar_split_clause,[],[f860,f592,f340,f866,f862]) ).
fof(f340,plain,
( spl22_2
<=> m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
fof(f592,plain,
( spl22_34
<=> ! [X1] :
( ~ r1_tarski(u1_struct_0(sK3),X1)
| r1_tarski(u1_struct_0(sK5),k10_relat_1(sK2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_34])]) ).
fof(f860,plain,
( ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| ~ spl22_2
| ~ spl22_34 ),
inference(superposition,[],[f593,f584]) ).
fof(f584,plain,
( k10_relat_1(sK2,u1_struct_0(sK4)) = u1_struct_0(sK6)
| ~ spl22_2 ),
inference(superposition,[],[f190,f447]) ).
fof(f447,plain,
( ! [X0] : k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k10_relat_1(sK2,X0)
| ~ spl22_2 ),
inference(subsumption_resolution,[],[f446,f196]) ).
fof(f196,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f130]) ).
fof(f446,plain,
( ! [X0] :
( ~ v1_funct_1(sK2)
| k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k10_relat_1(sK2,X0) )
| ~ spl22_2 ),
inference(resolution,[],[f341,f255]) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X2,X1)
| k10_relat_1(X0,X3) = k3_funct_2(X2,X1,X0,X3)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X0,X2,X1)
| ~ v1_funct_1(X0)
| k10_relat_1(X0,X3) = k3_funct_2(X2,X1,X0,X3) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X1,X3,X0,X2] :
( ~ m1_relset_1(X1,X0,X3)
| ~ v1_funct_1(X1)
| k3_funct_2(X0,X3,X1,X2) = k10_relat_1(X1,X2) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X2,X1,X3,X0] :
( k3_funct_2(X0,X3,X1,X2) = k10_relat_1(X1,X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,X0,X3) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X2,X1,X3,X0] :
( ( v1_funct_1(X1)
& m1_relset_1(X1,X0,X3) )
=> k3_funct_2(X0,X3,X1,X2) = k10_relat_1(X1,X2) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0,X2,X3,X1] :
( ( v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) )
=> k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_funct_2) ).
fof(f341,plain,
( m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f190,plain,
k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) = u1_struct_0(sK6),
inference(cnf_transformation,[],[f130]) ).
fof(f593,plain,
( ! [X1] :
( r1_tarski(u1_struct_0(sK5),k10_relat_1(sK2,X1))
| ~ r1_tarski(u1_struct_0(sK3),X1) )
| ~ spl22_34 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f785,plain,
~ spl22_20,
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f784,plain,
( $false
| ~ spl22_20 ),
inference(subsumption_resolution,[],[f782,f188]) ).
fof(f782,plain,
( ~ m1_group_2(sK4,sK1)
| ~ spl22_20 ),
inference(resolution,[],[f454,f306]) ).
fof(f306,plain,
! [X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,sK1) ),
inference(subsumption_resolution,[],[f305,f185]) ).
fof(f305,plain,
! [X1] :
( ~ v3_struct_0(X1)
| v3_struct_0(sK1)
| ~ m1_group_2(X1,sK1) ),
inference(subsumption_resolution,[],[f299,f198]) ).
fof(f299,plain,
! [X1] :
( ~ v3_struct_0(X1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ m1_group_2(X1,sK1) ),
inference(resolution,[],[f197,f235]) ).
fof(f235,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f454,plain,
( v3_struct_0(sK4)
| ~ spl22_20 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f777,plain,
spl22_22,
inference(avatar_contradiction_clause,[],[f776]) ).
fof(f776,plain,
( $false
| spl22_22 ),
inference(subsumption_resolution,[],[f775,f198]) ).
fof(f775,plain,
( ~ l1_group_1(sK1)
| spl22_22 ),
inference(subsumption_resolution,[],[f774,f185]) ).
fof(f774,plain,
( v3_struct_0(sK1)
| ~ l1_group_1(sK1)
| spl22_22 ),
inference(subsumption_resolution,[],[f763,f197]) ).
fof(f763,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ l1_group_1(sK1)
| spl22_22 ),
inference(resolution,[],[f470,f188]) ).
fof(f470,plain,
( ! [X0] :
( ~ m1_group_2(sK4,X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) )
| spl22_22 ),
inference(resolution,[],[f461,f236]) ).
fof(f236,plain,
! [X0,X1] :
( l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f461,plain,
( ~ l1_group_1(sK4)
| spl22_22 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f755,plain,
~ spl22_15,
inference(avatar_contradiction_clause,[],[f754]) ).
fof(f754,plain,
( $false
| ~ spl22_15 ),
inference(subsumption_resolution,[],[f752,f187]) ).
fof(f752,plain,
( ~ m1_group_2(sK3,sK1)
| ~ spl22_15 ),
inference(resolution,[],[f422,f306]) ).
fof(f422,plain,
( v3_struct_0(sK3)
| ~ spl22_15 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f748,plain,
spl22_17,
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f747,plain,
( $false
| spl22_17 ),
inference(subsumption_resolution,[],[f746,f197]) ).
fof(f746,plain,
( ~ v3_group_1(sK1)
| spl22_17 ),
inference(subsumption_resolution,[],[f745,f185]) ).
fof(f745,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| spl22_17 ),
inference(subsumption_resolution,[],[f733,f198]) ).
fof(f733,plain,
( ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| spl22_17 ),
inference(resolution,[],[f469,f187]) ).
fof(f469,plain,
( ! [X0] :
( ~ m1_group_2(sK3,X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) )
| spl22_17 ),
inference(resolution,[],[f429,f236]) ).
fof(f429,plain,
( ~ l1_group_1(sK3)
| spl22_17 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f635,plain,
spl22_35,
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f633,plain,
( $false
| spl22_35 ),
inference(resolution,[],[f616,f186]) ).
fof(f186,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f130]) ).
fof(f616,plain,
( ! [X0,X1] : ~ m2_relset_1(sK2,X0,X1)
| spl22_35 ),
inference(resolution,[],[f613,f261]) ).
fof(f261,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| ~ m2_relset_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X0,X2,X1)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X0,X2,X1] :
( ~ m2_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X1,X2,X0] :
( m2_relset_1(X0,X1,X2)
=> m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X2,X0,X1] :
( 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(f613,plain,
( ! [X0,X1] : ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| spl22_35 ),
inference(resolution,[],[f597,f262]) ).
fof(f262,plain,
! [X2,X0,X1] :
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X0))) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2] :
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X0))) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X1,X0,X2] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( 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(f597,plain,
( ~ v1_relat_1(sK2)
| spl22_35 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f595,plain,
( spl22_35
<=> v1_relat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_35])]) ).
fof(f598,plain,
( spl22_34
| ~ spl22_35
| ~ spl22_2 ),
inference(avatar_split_clause,[],[f590,f340,f595,f592]) ).
fof(f590,plain,
( ! [X1] :
( ~ v1_relat_1(sK2)
| ~ r1_tarski(u1_struct_0(sK3),X1)
| r1_tarski(u1_struct_0(sK5),k10_relat_1(sK2,X1)) )
| ~ spl22_2 ),
inference(superposition,[],[f214,f583]) ).
fof(f583,plain,
( k10_relat_1(sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
| ~ spl22_2 ),
inference(superposition,[],[f447,f194]) ).
fof(f194,plain,
k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5),
inference(cnf_transformation,[],[f130]) ).
fof(f214,plain,
! [X2,X0,X1] :
( r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1))
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2)
| r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X1,X0,X2] :
( ~ r1_tarski(X1,X0)
| ~ v1_relat_1(X2)
| r1_tarski(k10_relat_1(X2,X1),k10_relat_1(X2,X0)) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X2,X1] :
( r1_tarski(k10_relat_1(X2,X1),k10_relat_1(X2,X0))
| ~ r1_tarski(X1,X0)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X2,X1] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X0)
=> r1_tarski(k10_relat_1(X2,X1),k10_relat_1(X2,X0)) ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X1,X0,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t178_relat_1) ).
fof(f439,plain,
spl22_2,
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f438,plain,
( $false
| spl22_2 ),
inference(subsumption_resolution,[],[f437,f186]) ).
fof(f437,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl22_2 ),
inference(resolution,[],[f342,f224]) ).
fof(f224,plain,
! [X2,X0,X1] :
( m1_relset_1(X0,X2,X1)
| ~ m2_relset_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ( m1_relset_1(X0,X2,X1)
| ~ m2_relset_1(X0,X2,X1) )
& ( m2_relset_1(X0,X2,X1)
| ~ m1_relset_1(X0,X2,X1) ) ),
inference(rectify,[],[f149]) ).
fof(f149,plain,
! [X1,X0,X2] :
( ( m1_relset_1(X1,X2,X0)
| ~ m2_relset_1(X1,X2,X0) )
& ( m2_relset_1(X1,X2,X0)
| ~ m1_relset_1(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X1,X0,X2] :
( m1_relset_1(X1,X2,X0)
<=> m2_relset_1(X1,X2,X0) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X1,X2,X0] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f342,plain,
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl22_2 ),
inference(avatar_component_clause,[],[f340]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP638+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:35:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % (29026)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.46 % (29042)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.48 % (29042)First to succeed.
% 0.19/0.49 % (29042)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (29042)------------------------------
% 0.19/0.49 % (29042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (29042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (29042)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (29042)Memory used [KB]: 6780
% 0.19/0.49 % (29042)Time elapsed: 0.079 s
% 0.19/0.49 % (29042)Instructions burned: 29 (million)
% 0.19/0.49 % (29042)------------------------------
% 0.19/0.49 % (29042)------------------------------
% 0.19/0.49 % (29021)Success in time 0.149 s
%------------------------------------------------------------------------------