TSTP Solution File: GRP638+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP638+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 : Sun May 5 05:49:47 EDT 2024
% Result : Theorem 0.58s 0.77s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 27
% Syntax : Number of formulae : 160 ( 28 unt; 0 def)
% Number of atoms : 779 ( 57 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 934 ( 315 ~; 314 |; 243 &)
% ( 17 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 11 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 212 ( 149 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f556,plain,
$false,
inference(avatar_sat_refutation,[],[f252,f290,f328,f356,f416,f456,f479,f489,f513,f527,f555]) ).
fof(f555,plain,
~ spl22_22,
inference(avatar_contradiction_clause,[],[f554]) ).
fof(f554,plain,
( $false
| ~ spl22_22 ),
inference(subsumption_resolution,[],[f553,f147]) ).
fof(f147,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ~ m1_group_6(sK5,sK0,sK6)
& m1_group_6(sK3,sK1,sK4)
& k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) = u1_struct_0(sK6)
& k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
& m1_group_2(sK6,sK0)
& 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))
& 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,f106,f105,f104,f103,f102,f101,f100]) ).
fof(f100,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X0,X6)
& m1_group_6(X3,X1,X4)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,X0) )
& 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))
& 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,sK0,X6)
& m1_group_6(X3,X1,X4)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,sK0) )
& 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))
& 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(f101,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK0,X6)
& m1_group_6(X3,X1,X4)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,sK0) )
& 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))
& 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,sK0,X6)
& m1_group_6(X3,sK1,X4)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X3))
& m1_group_2(X6,sK0) )
& 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_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(f102,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK0,X6)
& m1_group_6(X3,sK1,X4)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X3))
& m1_group_2(X6,sK0) )
& 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_2(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK0,X6)
& m1_group_6(X3,sK1,X4)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X3))
& m1_group_2(X6,sK0) )
& 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))
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK0,X6)
& m1_group_6(X3,sK1,X4)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X3))
& m1_group_2(X6,sK0) )
& m1_group_2(X5,sK0) )
& m1_group_2(X4,sK1) )
& m1_group_2(X3,sK1) )
=> ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK0,X6)
& m1_group_6(sK3,sK1,X4)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_2(X6,sK0) )
& m1_group_2(X5,sK0) )
& m1_group_2(X4,sK1) )
& m1_group_2(sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK0,X6)
& m1_group_6(sK3,sK1,X4)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_2(X6,sK0) )
& m1_group_2(X5,sK0) )
& m1_group_2(X4,sK1) )
=> ( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK0,X6)
& m1_group_6(sK3,sK1,sK4)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_2(X6,sK0) )
& m1_group_2(X5,sK0) )
& m1_group_2(sK4,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK0,X6)
& m1_group_6(sK3,sK1,sK4)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_2(X6,sK0) )
& m1_group_2(X5,sK0) )
=> ( ? [X6] :
( ~ m1_group_6(sK5,sK0,X6)
& m1_group_6(sK3,sK1,sK4)
& 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_2(X6,sK0) )
& m1_group_2(sK5,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X6] :
( ~ m1_group_6(sK5,sK0,X6)
& m1_group_6(sK3,sK1,sK4)
& 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_2(X6,sK0) )
=> ( ~ m1_group_6(sK5,sK0,sK6)
& m1_group_6(sK3,sK1,sK4)
& k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) = u1_struct_0(sK6)
& k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
& m1_group_2(sK6,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X0,X6)
& m1_group_6(X3,X1,X4)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,X0) )
& 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))
& 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,X0,X6)
& m1_group_6(X3,X1,X4)
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,X0) )
& 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))
& 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,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(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) )
=> m1_group_6(X5,X0,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,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(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) )
=> m1_group_6(X5,X0,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,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(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) )
=> m1_group_6(X5,X0,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YL7isrZBAq/Vampire---4.8_7408',t11_latsubgr) ).
fof(f553,plain,
( v3_struct_0(sK1)
| ~ spl22_22 ),
inference(subsumption_resolution,[],[f552,f148]) ).
fof(f148,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f552,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ spl22_22 ),
inference(subsumption_resolution,[],[f550,f150]) ).
fof(f150,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f550,plain,
( ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ spl22_22 ),
inference(resolution,[],[f540,f155]) ).
fof(f155,plain,
m1_group_2(sK4,sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f540,plain,
( ! [X0] :
( ~ m1_group_2(sK4,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl22_22 ),
inference(resolution,[],[f443,f181]) ).
fof(f181,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,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,[],[f84]) ).
fof(f84,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/sandbox/tmp/tmp.YL7isrZBAq/Vampire---4.8_7408',dt_m1_group_2) ).
fof(f443,plain,
( v3_struct_0(sK4)
| ~ spl22_22 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f441,plain,
( spl22_22
<=> v3_struct_0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_22])]) ).
fof(f527,plain,
~ spl22_14,
inference(avatar_contradiction_clause,[],[f526]) ).
fof(f526,plain,
( $false
| ~ spl22_14 ),
inference(subsumption_resolution,[],[f525,f156]) ).
fof(f156,plain,
m1_group_2(sK5,sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f525,plain,
( ~ m1_group_2(sK5,sK0)
| ~ spl22_14 ),
inference(subsumption_resolution,[],[f524,f146]) ).
fof(f146,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f524,plain,
( ~ l1_group_1(sK0)
| ~ m1_group_2(sK5,sK0)
| ~ spl22_14 ),
inference(subsumption_resolution,[],[f523,f157]) ).
fof(f157,plain,
m1_group_2(sK6,sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f523,plain,
( ~ m1_group_2(sK6,sK0)
| ~ l1_group_1(sK0)
| ~ m1_group_2(sK5,sK0)
| ~ spl22_14 ),
inference(subsumption_resolution,[],[f522,f144]) ).
fof(f144,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f522,plain,
( ~ v3_group_1(sK0)
| ~ m1_group_2(sK6,sK0)
| ~ l1_group_1(sK0)
| ~ m1_group_2(sK5,sK0)
| ~ spl22_14 ),
inference(subsumption_resolution,[],[f520,f143]) ).
fof(f143,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f520,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(sK6,sK0)
| ~ l1_group_1(sK0)
| ~ m1_group_2(sK5,sK0)
| ~ spl22_14 ),
inference(resolution,[],[f351,f145]) ).
fof(f145,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f351,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(sK6,X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(sK5,X0) )
| ~ spl22_14 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f350,plain,
( spl22_14
<=> ! [X0] :
( ~ m1_group_2(sK6,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).
fof(f513,plain,
spl22_25,
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| spl22_25 ),
inference(subsumption_resolution,[],[f511,f147]) ).
fof(f511,plain,
( v3_struct_0(sK1)
| spl22_25 ),
inference(subsumption_resolution,[],[f510,f148]) ).
fof(f510,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| spl22_25 ),
inference(subsumption_resolution,[],[f509,f149]) ).
fof(f149,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f509,plain,
( ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| spl22_25 ),
inference(subsumption_resolution,[],[f508,f150]) ).
fof(f508,plain,
( ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| spl22_25 ),
inference(subsumption_resolution,[],[f505,f155]) ).
fof(f505,plain,
( ~ m1_group_2(sK4,sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| spl22_25 ),
inference(resolution,[],[f492,f160]) ).
fof(f160,plain,
m1_group_6(sK3,sK1,sK4),
inference(cnf_transformation,[],[f107]) ).
fof(f492,plain,
( ! [X0] :
( ~ m1_group_6(sK3,X0,sK4)
| ~ m1_group_2(sK4,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| spl22_25 ),
inference(resolution,[],[f455,f176]) ).
fof(f176,plain,
! [X2,X0,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(cnf_transformation,[],[f112]) ).
fof(f112,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,[],[f77]) ).
fof(f77,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,[],[f76]) ).
fof(f76,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/sandbox/tmp/tmp.YL7isrZBAq/Vampire---4.8_7408',redefinition_m1_group_6) ).
fof(f455,plain,
( ~ m1_group_2(sK3,sK4)
| spl22_25 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f453,plain,
( spl22_25
<=> m1_group_2(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_25])]) ).
fof(f489,plain,
spl22_24,
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f488,plain,
( $false
| spl22_24 ),
inference(subsumption_resolution,[],[f487,f147]) ).
fof(f487,plain,
( v3_struct_0(sK1)
| spl22_24 ),
inference(subsumption_resolution,[],[f486,f148]) ).
fof(f486,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| spl22_24 ),
inference(subsumption_resolution,[],[f484,f150]) ).
fof(f484,plain,
( ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| spl22_24 ),
inference(resolution,[],[f480,f155]) ).
fof(f480,plain,
( ! [X0] :
( ~ m1_group_2(sK4,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| spl22_24 ),
inference(resolution,[],[f451,f183]) ).
fof(f183,plain,
! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f451,plain,
( ~ l1_group_1(sK4)
| spl22_24 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f449,plain,
( spl22_24
<=> l1_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_24])]) ).
fof(f479,plain,
spl22_23,
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f478,plain,
( $false
| spl22_23 ),
inference(subsumption_resolution,[],[f477,f147]) ).
fof(f477,plain,
( v3_struct_0(sK1)
| spl22_23 ),
inference(subsumption_resolution,[],[f476,f148]) ).
fof(f476,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| spl22_23 ),
inference(subsumption_resolution,[],[f474,f150]) ).
fof(f474,plain,
( ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| spl22_23 ),
inference(resolution,[],[f457,f155]) ).
fof(f457,plain,
( ! [X0] :
( ~ m1_group_2(sK4,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| spl22_23 ),
inference(resolution,[],[f447,f182]) ).
fof(f182,plain,
! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f447,plain,
( ~ v3_group_1(sK4)
| spl22_23 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f445,plain,
( spl22_23
<=> v3_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_23])]) ).
fof(f456,plain,
( spl22_22
| ~ spl22_23
| ~ spl22_24
| ~ spl22_25
| ~ spl22_1
| ~ spl22_8
| spl22_15
| ~ spl22_19 ),
inference(avatar_split_clause,[],[f439,f391,f353,f288,f236,f453,f449,f445,f441]) ).
fof(f236,plain,
( spl22_1
<=> m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f288,plain,
( spl22_8
<=> ! [X0] :
( r1_tarski(u1_struct_0(sK5),k10_relat_1(sK2,X0))
| ~ r1_tarski(u1_struct_0(sK3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
fof(f353,plain,
( spl22_15
<=> r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).
fof(f391,plain,
( spl22_19
<=> v3_group_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_19])]) ).
fof(f439,plain,
( ~ m1_group_2(sK3,sK4)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl22_1
| ~ spl22_8
| spl22_15
| ~ spl22_19 ),
inference(subsumption_resolution,[],[f438,f181]) ).
fof(f438,plain,
( ~ m1_group_2(sK3,sK4)
| v3_struct_0(sK3)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl22_1
| ~ spl22_8
| spl22_15
| ~ spl22_19 ),
inference(subsumption_resolution,[],[f437,f183]) ).
fof(f437,plain,
( ~ m1_group_2(sK3,sK4)
| ~ l1_group_1(sK3)
| v3_struct_0(sK3)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl22_1
| ~ spl22_8
| spl22_15
| ~ spl22_19 ),
inference(subsumption_resolution,[],[f423,f392]) ).
fof(f392,plain,
( v3_group_1(sK3)
| ~ spl22_19 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f423,plain,
( ~ m1_group_2(sK3,sK4)
| ~ l1_group_1(sK3)
| ~ v3_group_1(sK3)
| v3_struct_0(sK3)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl22_1
| ~ spl22_8
| spl22_15 ),
inference(resolution,[],[f419,f165]) ).
fof(f165,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,[],[f109]) ).
fof(f109,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,[],[f108]) ).
fof(f108,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,[],[f66]) ).
fof(f66,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,[],[f65]) ).
fof(f65,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/sandbox/tmp/tmp.YL7isrZBAq/Vampire---4.8_7408',d5_group_2) ).
fof(f419,plain,
( ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| ~ spl22_1
| ~ spl22_8
| spl22_15 ),
inference(subsumption_resolution,[],[f418,f355]) ).
fof(f355,plain,
( ~ r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| spl22_15 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f418,plain,
( r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| ~ spl22_1
| ~ spl22_8 ),
inference(superposition,[],[f289,f271]) ).
fof(f271,plain,
( u1_struct_0(sK6) = k10_relat_1(sK2,u1_struct_0(sK4))
| ~ spl22_1 ),
inference(superposition,[],[f269,f159]) ).
fof(f159,plain,
k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) = u1_struct_0(sK6),
inference(cnf_transformation,[],[f107]) ).
fof(f269,plain,
( ! [X0] : k10_relat_1(sK2,X0) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0)
| ~ spl22_1 ),
inference(resolution,[],[f254,f237]) ).
fof(f237,plain,
( m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(sK2,X0,X1)
| k3_funct_2(X0,X1,sK2,X2) = k10_relat_1(sK2,X2) ),
inference(resolution,[],[f164,f151]) ).
fof(f151,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f107]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ m1_relset_1(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_1(X2) )
=> k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.YL7isrZBAq/Vampire---4.8_7408',redefinition_k3_funct_2) ).
fof(f289,plain,
( ! [X0] :
( r1_tarski(u1_struct_0(sK5),k10_relat_1(sK2,X0))
| ~ r1_tarski(u1_struct_0(sK3),X0) )
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f416,plain,
spl22_19,
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f415,plain,
( $false
| spl22_19 ),
inference(subsumption_resolution,[],[f414,f147]) ).
fof(f414,plain,
( v3_struct_0(sK1)
| spl22_19 ),
inference(subsumption_resolution,[],[f413,f148]) ).
fof(f413,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| spl22_19 ),
inference(subsumption_resolution,[],[f411,f150]) ).
fof(f411,plain,
( ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| spl22_19 ),
inference(resolution,[],[f403,f154]) ).
fof(f154,plain,
m1_group_2(sK3,sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f403,plain,
( ! [X0] :
( ~ m1_group_2(sK3,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| spl22_19 ),
inference(resolution,[],[f393,f182]) ).
fof(f393,plain,
( ~ v3_group_1(sK3)
| spl22_19 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f356,plain,
( spl22_14
| ~ spl22_15 ),
inference(avatar_split_clause,[],[f325,f353,f350]) ).
fof(f325,plain,
! [X0] :
( ~ r1_tarski(u1_struct_0(sK5),u1_struct_0(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) ),
inference(resolution,[],[f168,f296]) ).
fof(f296,plain,
~ m1_group_2(sK5,sK6),
inference(subsumption_resolution,[],[f295,f143]) ).
fof(f295,plain,
( ~ m1_group_2(sK5,sK6)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f294,f144]) ).
fof(f294,plain,
( ~ m1_group_2(sK5,sK6)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f293,f145]) ).
fof(f293,plain,
( ~ m1_group_2(sK5,sK6)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f292,f146]) ).
fof(f292,plain,
( ~ m1_group_2(sK5,sK6)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f291,f157]) ).
fof(f291,plain,
( ~ m1_group_2(sK5,sK6)
| ~ m1_group_2(sK6,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f177,f161]) ).
fof(f161,plain,
~ m1_group_6(sK5,sK0,sK6),
inference(cnf_transformation,[],[f107]) ).
fof(f177,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,[],[f112]) ).
fof(f168,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f68]) ).
fof(f68,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,[],[f67]) ).
fof(f67,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/sandbox/tmp/tmp.YL7isrZBAq/Vampire---4.8_7408',t66_group_2) ).
fof(f328,plain,
spl22_6,
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f326,plain,
( $false
| spl22_6 ),
inference(resolution,[],[f323,f153]) ).
fof(f153,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f107]) ).
fof(f323,plain,
( ! [X0,X1] : ~ m2_relset_1(sK2,X0,X1)
| spl22_6 ),
inference(resolution,[],[f297,f201]) ).
fof(f201,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,[],[f92]) ).
fof(f92,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/sandbox/tmp/tmp.YL7isrZBAq/Vampire---4.8_7408',dt_m2_relset_1) ).
fof(f297,plain,
( ! [X0,X1] : ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| spl22_6 ),
inference(resolution,[],[f282,f221]) ).
fof(f221,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,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/sandbox/tmp/tmp.YL7isrZBAq/Vampire---4.8_7408',cc1_relset_1) ).
fof(f282,plain,
( ~ v1_relat_1(sK2)
| spl22_6 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl22_6
<=> v1_relat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
fof(f290,plain,
( ~ spl22_6
| spl22_8
| ~ spl22_1 ),
inference(avatar_split_clause,[],[f278,f236,f288,f280]) ).
fof(f278,plain,
( ! [X0] :
( r1_tarski(u1_struct_0(sK5),k10_relat_1(sK2,X0))
| ~ r1_tarski(u1_struct_0(sK3),X0)
| ~ v1_relat_1(sK2) )
| ~ spl22_1 ),
inference(superposition,[],[f205,f270]) ).
fof(f270,plain,
( u1_struct_0(sK5) = k10_relat_1(sK2,u1_struct_0(sK3))
| ~ spl22_1 ),
inference(superposition,[],[f269,f158]) ).
fof(f158,plain,
k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5),
inference(cnf_transformation,[],[f107]) ).
fof(f205,plain,
! [X2,X0,X1] :
( r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( r1_tarski(k10_relat_1(X2,X0),k10_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(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.YL7isrZBAq/Vampire---4.8_7408',t178_relat_1) ).
fof(f252,plain,
spl22_1,
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f251,plain,
( $false
| spl22_1 ),
inference(subsumption_resolution,[],[f250,f153]) ).
fof(f250,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl22_1 ),
inference(resolution,[],[f238,f198]) ).
fof(f198,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,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/sandbox/tmp/tmp.YL7isrZBAq/Vampire---4.8_7408',redefinition_m2_relset_1) ).
fof(f238,plain,
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl22_1 ),
inference(avatar_component_clause,[],[f236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP638+1 : TPTP v8.1.2. Released v3.4.0.
% 0.04/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:41:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.YL7isrZBAq/Vampire---4.8_7408
% 0.58/0.75 % (7790)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.75 % (7783)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75 % (7785)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (7784)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.75 % (7787)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75 % (7786)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75 % (7788)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75 % (7789)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.75 % (7788)Refutation not found, incomplete strategy% (7788)------------------------------
% 0.58/0.75 % (7788)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (7788)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (7788)Memory used [KB]: 1161
% 0.58/0.75 % (7788)Time elapsed: 0.006 s
% 0.58/0.75 % (7788)Instructions burned: 7 (million)
% 0.58/0.76 % (7788)------------------------------
% 0.58/0.76 % (7788)------------------------------
% 0.58/0.76 % (7783)Refutation not found, incomplete strategy% (7783)------------------------------
% 0.58/0.76 % (7783)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (7783)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (7783)Memory used [KB]: 1159
% 0.58/0.76 % (7783)Time elapsed: 0.007 s
% 0.58/0.76 % (7783)Instructions burned: 9 (million)
% 0.58/0.76 % (7783)------------------------------
% 0.58/0.76 % (7783)------------------------------
% 0.58/0.76 % (7794)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.76 % (7795)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.58/0.76 % (7785)First to succeed.
% 0.58/0.76 % (7790)Instruction limit reached!
% 0.58/0.76 % (7790)------------------------------
% 0.58/0.76 % (7790)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (7790)Termination reason: Unknown
% 0.58/0.76 % (7790)Termination phase: Saturation
% 0.58/0.76
% 0.58/0.76 % (7790)Memory used [KB]: 1314
% 0.58/0.76 % (7790)Time elapsed: 0.015 s
% 0.58/0.76 % (7790)Instructions burned: 58 (million)
% 0.58/0.76 % (7790)------------------------------
% 0.58/0.76 % (7790)------------------------------
% 0.58/0.76 % (7785)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7651"
% 0.58/0.77 % (7801)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.58/0.77 % (7785)Refutation found. Thanks to Tanya!
% 0.58/0.77 % SZS status Theorem for Vampire---4
% 0.58/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.77 % (7785)------------------------------
% 0.58/0.77 % (7785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77 % (7785)Termination reason: Refutation
% 0.58/0.77
% 0.58/0.77 % (7785)Memory used [KB]: 1216
% 0.58/0.77 % (7785)Time elapsed: 0.016 s
% 0.58/0.77 % (7785)Instructions burned: 23 (million)
% 0.58/0.77 % (7651)Success in time 0.388 s
% 0.58/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------