TSTP Solution File: GRP637+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP637+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 : n005.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 May 1 02:30:51 EDT 2024
% Result : Theorem 0.63s 0.82s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 26
% Syntax : Number of formulae : 152 ( 27 unt; 0 def)
% Number of atoms : 760 ( 58 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 917 ( 309 ~; 303 |; 244 &)
% ( 16 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 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 : 210 ( 147 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f564,plain,
$false,
inference(avatar_sat_refutation,[],[f265,f324,f357,f369,f454,f487,f497,f521,f547,f563]) ).
fof(f563,plain,
~ spl22_24,
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f562,plain,
( $false
| ~ spl22_24 ),
inference(subsumption_resolution,[],[f561,f143]) ).
fof(f143,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f107,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,f106,f105,f104,f103,f102,f101,f100]) ).
fof(f100,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(f101,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(f102,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(f103,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(f104,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(f105,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(f106,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/sandbox/tmp/tmp.c5tqnu2ipC/Vampire---4.8_30454',t10_latsubgr) ).
fof(f561,plain,
( v3_struct_0(sK0)
| ~ spl22_24 ),
inference(subsumption_resolution,[],[f560,f144]) ).
fof(f144,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f560,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl22_24 ),
inference(subsumption_resolution,[],[f558,f146]) ).
fof(f146,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f558,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl22_24 ),
inference(resolution,[],[f548,f155]) ).
fof(f155,plain,
m1_group_2(sK4,sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f548,plain,
( ! [X0] :
( ~ m1_group_2(sK4,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl22_24 ),
inference(resolution,[],[f441,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.c5tqnu2ipC/Vampire---4.8_30454',dt_m1_group_2) ).
fof(f441,plain,
( v3_struct_0(sK4)
| ~ spl22_24 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f439,plain,
( spl22_24
<=> v3_struct_0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_24])]) ).
fof(f547,plain,
~ spl22_11,
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f546,plain,
( $false
| ~ spl22_11 ),
inference(subsumption_resolution,[],[f545,f156]) ).
fof(f156,plain,
m1_group_2(sK5,sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f545,plain,
( ~ m1_group_2(sK5,sK1)
| ~ spl22_11 ),
inference(subsumption_resolution,[],[f544,f150]) ).
fof(f150,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f544,plain,
( ~ l1_group_1(sK1)
| ~ m1_group_2(sK5,sK1)
| ~ spl22_11 ),
inference(subsumption_resolution,[],[f543,f157]) ).
fof(f157,plain,
m1_group_2(sK6,sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f543,plain,
( ~ m1_group_2(sK6,sK1)
| ~ l1_group_1(sK1)
| ~ m1_group_2(sK5,sK1)
| ~ spl22_11 ),
inference(subsumption_resolution,[],[f542,f148]) ).
fof(f148,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f542,plain,
( ~ v3_group_1(sK1)
| ~ m1_group_2(sK6,sK1)
| ~ l1_group_1(sK1)
| ~ m1_group_2(sK5,sK1)
| ~ spl22_11 ),
inference(subsumption_resolution,[],[f529,f147]) ).
fof(f147,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f529,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ m1_group_2(sK6,sK1)
| ~ l1_group_1(sK1)
| ~ m1_group_2(sK5,sK1)
| ~ spl22_11 ),
inference(resolution,[],[f319,f149]) ).
fof(f149,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f319,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_11 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f318,plain,
( spl22_11
<=> ! [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_11])]) ).
fof(f521,plain,
spl22_27,
inference(avatar_contradiction_clause,[],[f520]) ).
fof(f520,plain,
( $false
| spl22_27 ),
inference(subsumption_resolution,[],[f519,f143]) ).
fof(f519,plain,
( v3_struct_0(sK0)
| spl22_27 ),
inference(subsumption_resolution,[],[f518,f144]) ).
fof(f518,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl22_27 ),
inference(subsumption_resolution,[],[f517,f145]) ).
fof(f145,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f517,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl22_27 ),
inference(subsumption_resolution,[],[f516,f146]) ).
fof(f516,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl22_27 ),
inference(subsumption_resolution,[],[f513,f155]) ).
fof(f513,plain,
( ~ m1_group_2(sK4,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl22_27 ),
inference(resolution,[],[f500,f160]) ).
fof(f160,plain,
m1_group_6(sK3,sK0,sK4),
inference(cnf_transformation,[],[f107]) ).
fof(f500,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_27 ),
inference(resolution,[],[f453,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.c5tqnu2ipC/Vampire---4.8_30454',redefinition_m1_group_6) ).
fof(f453,plain,
( ~ m1_group_2(sK3,sK4)
| spl22_27 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl22_27
<=> m1_group_2(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_27])]) ).
fof(f497,plain,
spl22_26,
inference(avatar_contradiction_clause,[],[f496]) ).
fof(f496,plain,
( $false
| spl22_26 ),
inference(subsumption_resolution,[],[f495,f143]) ).
fof(f495,plain,
( v3_struct_0(sK0)
| spl22_26 ),
inference(subsumption_resolution,[],[f494,f144]) ).
fof(f494,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl22_26 ),
inference(subsumption_resolution,[],[f492,f146]) ).
fof(f492,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl22_26 ),
inference(resolution,[],[f488,f155]) ).
fof(f488,plain,
( ! [X0] :
( ~ m1_group_2(sK4,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| spl22_26 ),
inference(resolution,[],[f449,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(f449,plain,
( ~ l1_group_1(sK4)
| spl22_26 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f447,plain,
( spl22_26
<=> l1_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_26])]) ).
fof(f487,plain,
spl22_25,
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f486,plain,
( $false
| spl22_25 ),
inference(subsumption_resolution,[],[f485,f143]) ).
fof(f485,plain,
( v3_struct_0(sK0)
| spl22_25 ),
inference(subsumption_resolution,[],[f484,f144]) ).
fof(f484,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl22_25 ),
inference(subsumption_resolution,[],[f482,f146]) ).
fof(f482,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl22_25 ),
inference(resolution,[],[f456,f155]) ).
fof(f456,plain,
( ! [X0] :
( ~ m1_group_2(sK4,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| spl22_25 ),
inference(resolution,[],[f445,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(f445,plain,
( ~ v3_group_1(sK4)
| spl22_25 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f443,plain,
( spl22_25
<=> v3_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_25])]) ).
fof(f454,plain,
( spl22_24
| ~ spl22_25
| ~ spl22_26
| ~ spl22_27
| ~ spl22_3
| spl22_12
| ~ spl22_15 ),
inference(avatar_split_clause,[],[f437,f355,f321,f248,f451,f447,f443,f439]) ).
fof(f248,plain,
( spl22_3
<=> m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f321,plain,
( spl22_12
<=> r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).
fof(f355,plain,
( spl22_15
<=> ! [X0] :
( r1_tarski(u1_struct_0(sK5),k9_relat_1(sK2,X0))
| ~ r1_tarski(u1_struct_0(sK3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).
fof(f437,plain,
( ~ m1_group_2(sK3,sK4)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl22_3
| spl22_12
| ~ spl22_15 ),
inference(subsumption_resolution,[],[f436,f181]) ).
fof(f436,plain,
( ~ m1_group_2(sK3,sK4)
| v3_struct_0(sK3)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl22_3
| spl22_12
| ~ spl22_15 ),
inference(subsumption_resolution,[],[f435,f182]) ).
fof(f435,plain,
( ~ m1_group_2(sK3,sK4)
| ~ v3_group_1(sK3)
| v3_struct_0(sK3)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ spl22_3
| spl22_12
| ~ spl22_15 ),
inference(subsumption_resolution,[],[f422,f183]) ).
fof(f422,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_3
| spl22_12
| ~ spl22_15 ),
inference(resolution,[],[f394,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.c5tqnu2ipC/Vampire---4.8_30454',d5_group_2) ).
fof(f394,plain,
( ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| ~ spl22_3
| spl22_12
| ~ spl22_15 ),
inference(subsumption_resolution,[],[f393,f323]) ).
fof(f323,plain,
( ~ r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| spl22_12 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f393,plain,
( r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| ~ spl22_3
| ~ spl22_15 ),
inference(superposition,[],[f356,f328]) ).
fof(f328,plain,
( u1_struct_0(sK6) = k9_relat_1(sK2,u1_struct_0(sK4))
| ~ spl22_3 ),
inference(superposition,[],[f301,f159]) ).
fof(f159,plain,
k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) = u1_struct_0(sK6),
inference(cnf_transformation,[],[f107]) ).
fof(f301,plain,
( ! [X0] : k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0)
| ~ spl22_3 ),
inference(subsumption_resolution,[],[f300,f151]) ).
fof(f151,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f107]) ).
fof(f300,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_3 ),
inference(subsumption_resolution,[],[f297,f249]) ).
fof(f249,plain,
( m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f297,plain,
! [X0] :
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0)
| ~ v1_funct_1(sK2) ),
inference(resolution,[],[f164,f152]) ).
fof(f152,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f107]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,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,[],[f63]) ).
fof(f63,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/sandbox/tmp/tmp.c5tqnu2ipC/Vampire---4.8_30454',redefinition_k2_funct_2) ).
fof(f356,plain,
( ! [X0] :
( r1_tarski(u1_struct_0(sK5),k9_relat_1(sK2,X0))
| ~ r1_tarski(u1_struct_0(sK3),X0) )
| ~ spl22_15 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f369,plain,
spl22_13,
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f367,plain,
( $false
| spl22_13 ),
inference(resolution,[],[f363,f153]) ).
fof(f153,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f107]) ).
fof(f363,plain,
( ! [X0,X1] : ~ m2_relset_1(sK2,X0,X1)
| spl22_13 ),
inference(resolution,[],[f360,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.c5tqnu2ipC/Vampire---4.8_30454',dt_m2_relset_1) ).
fof(f360,plain,
( ! [X0,X1] : ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| spl22_13 ),
inference(resolution,[],[f349,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.c5tqnu2ipC/Vampire---4.8_30454',cc1_relset_1) ).
fof(f349,plain,
( ~ v1_relat_1(sK2)
| spl22_13 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f347,plain,
( spl22_13
<=> v1_relat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).
fof(f357,plain,
( ~ spl22_13
| spl22_15
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f345,f248,f355,f347]) ).
fof(f345,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_3 ),
inference(superposition,[],[f205,f327]) ).
fof(f327,plain,
( u1_struct_0(sK5) = k9_relat_1(sK2,u1_struct_0(sK3))
| ~ spl22_3 ),
inference(superposition,[],[f301,f158]) ).
fof(f158,plain,
k2_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(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,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,[],[f93]) ).
fof(f93,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/sandbox/tmp/tmp.c5tqnu2ipC/Vampire---4.8_30454',t156_relat_1) ).
fof(f324,plain,
( spl22_11
| ~ spl22_12 ),
inference(avatar_split_clause,[],[f305,f321,f318]) ).
fof(f305,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,f271]) ).
fof(f271,plain,
~ m1_group_2(sK5,sK6),
inference(subsumption_resolution,[],[f270,f147]) ).
fof(f270,plain,
( ~ m1_group_2(sK5,sK6)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f269,f148]) ).
fof(f269,plain,
( ~ m1_group_2(sK5,sK6)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f268,f149]) ).
fof(f268,plain,
( ~ m1_group_2(sK5,sK6)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f267,f150]) ).
fof(f267,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,[],[f266,f157]) ).
fof(f266,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,[],[f177,f161]) ).
fof(f161,plain,
~ m1_group_6(sK5,sK1,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.c5tqnu2ipC/Vampire---4.8_30454',t66_group_2) ).
fof(f265,plain,
spl22_3,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| spl22_3 ),
inference(subsumption_resolution,[],[f263,f153]) ).
fof(f263,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl22_3 ),
inference(resolution,[],[f250,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.c5tqnu2ipC/Vampire---4.8_30454',redefinition_m2_relset_1) ).
fof(f250,plain,
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl22_3 ),
inference(avatar_component_clause,[],[f248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP637+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.12 % 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
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 18:19:11 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33 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.c5tqnu2ipC/Vampire---4.8_30454
% 0.63/0.81 % (30571)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81 % (30575)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 (2995ds/83Mi)
% 0.63/0.81 % (30574)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.81 % (30573)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 (2995ds/34Mi)
% 0.63/0.81 % (30570)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 (2995ds/51Mi)
% 0.63/0.81 % (30576)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 (2995ds/56Mi)
% 0.63/0.81 % (30569)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 (2995ds/34Mi)
% 0.63/0.81 % (30572)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.81 % (30574)Refutation not found, incomplete strategy% (30574)------------------------------
% 0.63/0.81 % (30574)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81 % (30574)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81
% 0.63/0.81 % (30574)Memory used [KB]: 1160
% 0.63/0.81 % (30574)Time elapsed: 0.006 s
% 0.63/0.81 % (30574)Instructions burned: 7 (million)
% 0.63/0.81 % (30574)------------------------------
% 0.63/0.81 % (30574)------------------------------
% 0.63/0.82 % (30569)Refutation not found, incomplete strategy% (30569)------------------------------
% 0.63/0.82 % (30569)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (30569)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82
% 0.63/0.82 % (30569)Memory used [KB]: 1161
% 0.63/0.82 % (30569)Time elapsed: 0.006 s
% 0.63/0.82 % (30569)Instructions burned: 10 (million)
% 0.63/0.82 % (30569)------------------------------
% 0.63/0.82 % (30569)------------------------------
% 0.63/0.82 % (30578)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 (2995ds/55Mi)
% 0.63/0.82 % (30579)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 (2995ds/50Mi)
% 0.63/0.82 % (30571)First to succeed.
% 0.63/0.82 % (30572)Instruction limit reached!
% 0.63/0.82 % (30572)------------------------------
% 0.63/0.82 % (30572)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (30572)Termination reason: Unknown
% 0.63/0.82 % (30572)Termination phase: Saturation
% 0.63/0.82
% 0.63/0.82 % (30572)Memory used [KB]: 1451
% 0.63/0.82 % (30572)Time elapsed: 0.012 s
% 0.63/0.82 % (30572)Instructions burned: 33 (million)
% 0.63/0.82 % (30572)------------------------------
% 0.63/0.82 % (30572)------------------------------
% 0.63/0.82 % (30571)Refutation found. Thanks to Tanya!
% 0.63/0.82 % SZS status Theorem for Vampire---4
% 0.63/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.82 % (30571)------------------------------
% 0.63/0.82 % (30571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (30571)Termination reason: Refutation
% 0.63/0.82
% 0.63/0.82 % (30571)Memory used [KB]: 1217
% 0.63/0.82 % (30571)Time elapsed: 0.014 s
% 0.63/0.82 % (30571)Instructions burned: 23 (million)
% 0.63/0.82 % (30571)------------------------------
% 0.63/0.82 % (30571)------------------------------
% 0.63/0.82 % (30564)Success in time 0.489 s
% 0.63/0.82 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.63/0.82 30564 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.c5tqnu2ipC/Vampire---4.8_30454
% 0.63/0.82 % (30564)------------------------------
% 0.63/0.82 % (30564)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (30564)Termination reason: Unknown
% 0.63/0.82 % (30564)Termination phase: Unknown
% 0.63/0.82
% 0.63/0.82 % (30564)Memory used [KB]: 467
% 0.63/0.82 % (30564)Time elapsed: 0.490 s
% 0.63/0.82 % (30564)Instructions burned: 956 (million)
% 0.63/0.82 % (30564)------------------------------
% 0.63/0.82 % (30564)------------------------------
% 0.63/0.82 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.82 ???
% 0.63/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------