TSTP Solution File: GRP648+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP648+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 : n032.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 05:49:59 EDT 2024
% Result : Theorem 2.22s 0.95s
% Output : Refutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 51
% Syntax : Number of formulae : 467 ( 33 unt; 0 def)
% Number of atoms : 3052 ( 333 equ)
% Maximal formula atoms : 28 ( 6 avg)
% Number of connectives : 4430 (1845 ~;2065 |; 405 &)
% ( 38 <=>; 75 =>; 0 <=; 2 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 46 ( 44 usr; 15 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 7 con; 0-6 aty)
% Number of variables : 752 ( 683 !; 69 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5791,plain,
$false,
inference(avatar_sat_refutation,[],[f453,f454,f517,f621,f624,f636,f639,f1177,f1594,f1623,f2120,f3811,f4165,f4181,f4231,f5790]) ).
fof(f5790,plain,
( spl29_1
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95
| ~ spl29_197 ),
inference(avatar_contradiction_clause,[],[f5789]) ).
fof(f5789,plain,
( $false
| spl29_1
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95
| ~ spl29_197 ),
inference(subsumption_resolution,[],[f5788,f448]) ).
fof(f448,plain,
( ~ r3_lattices(sF27,sK3,sK4)
| spl29_1 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl29_1
<=> r3_lattices(sF27,sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_1])]) ).
fof(f5788,plain,
( r3_lattices(sF27,sK3,sK4)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95
| ~ spl29_197 ),
inference(subsumption_resolution,[],[f5787,f443]) ).
fof(f443,plain,
m1_subset_1(sK3,sF28),
inference(definition_folding,[],[f282,f441,f438]) ).
fof(f438,plain,
k11_group_4(sK0) = sF27,
introduced(function_definition,[new_symbols(definition,[sF27])]) ).
fof(f441,plain,
u1_struct_0(sF27) = sF28,
introduced(function_definition,[new_symbols(definition,[sF28])]) ).
fof(f282,plain,
m1_subset_1(sK3,u1_struct_0(k11_group_4(sK0))),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
( ( ~ m1_group_6(sK1,sK0,sK2)
| ~ r3_lattices(k11_group_4(sK0),sK3,sK4) )
& ( m1_group_6(sK1,sK0,sK2)
| r3_lattices(k11_group_4(sK0),sK3,sK4) )
& sK2 = sK4
& sK1 = sK3
& m1_subset_1(sK4,u1_struct_0(k11_group_4(sK0)))
& m1_subset_1(sK3,u1_struct_0(k11_group_4(sK0)))
& m1_group_2(sK2,sK0)
& m1_group_2(sK1,sK0)
& 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])],[f218,f223,f222,f221,f220,f219]) ).
fof(f219,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(X1,X0,X2)
| ~ r3_lattices(k11_group_4(X0),X3,X4) )
& ( m1_group_6(X1,X0,X2)
| r3_lattices(k11_group_4(X0),X3,X4) )
& X2 = X4
& X1 = X3
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
& 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) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(X1,sK0,X2)
| ~ r3_lattices(k11_group_4(sK0),X3,X4) )
& ( m1_group_6(X1,sK0,X2)
| r3_lattices(k11_group_4(sK0),X3,X4) )
& X2 = X4
& X1 = X3
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(sK0))) )
& m1_group_2(X2,sK0) )
& m1_group_2(X1,sK0) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(X1,sK0,X2)
| ~ r3_lattices(k11_group_4(sK0),X3,X4) )
& ( m1_group_6(X1,sK0,X2)
| r3_lattices(k11_group_4(sK0),X3,X4) )
& X2 = X4
& X1 = X3
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(sK0))) )
& m1_group_2(X2,sK0) )
& m1_group_2(X1,sK0) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(sK1,sK0,X2)
| ~ r3_lattices(k11_group_4(sK0),X3,X4) )
& ( m1_group_6(sK1,sK0,X2)
| r3_lattices(k11_group_4(sK0),X3,X4) )
& X2 = X4
& sK1 = X3
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(sK0))) )
& m1_group_2(X2,sK0) )
& m1_group_2(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(sK1,sK0,X2)
| ~ r3_lattices(k11_group_4(sK0),X3,X4) )
& ( m1_group_6(sK1,sK0,X2)
| r3_lattices(k11_group_4(sK0),X3,X4) )
& X2 = X4
& sK1 = X3
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(sK0))) )
& m1_group_2(X2,sK0) )
=> ( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(sK1,sK0,sK2)
| ~ r3_lattices(k11_group_4(sK0),X3,X4) )
& ( m1_group_6(sK1,sK0,sK2)
| r3_lattices(k11_group_4(sK0),X3,X4) )
& sK2 = X4
& sK1 = X3
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(sK0))) )
& m1_group_2(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(sK1,sK0,sK2)
| ~ r3_lattices(k11_group_4(sK0),X3,X4) )
& ( m1_group_6(sK1,sK0,sK2)
| r3_lattices(k11_group_4(sK0),X3,X4) )
& sK2 = X4
& sK1 = X3
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(sK0))) )
=> ( ? [X4] :
( ( ~ m1_group_6(sK1,sK0,sK2)
| ~ r3_lattices(k11_group_4(sK0),sK3,X4) )
& ( m1_group_6(sK1,sK0,sK2)
| r3_lattices(k11_group_4(sK0),sK3,X4) )
& sK2 = X4
& sK1 = sK3
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK0))) )
& m1_subset_1(sK3,u1_struct_0(k11_group_4(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
( ? [X4] :
( ( ~ m1_group_6(sK1,sK0,sK2)
| ~ r3_lattices(k11_group_4(sK0),sK3,X4) )
& ( m1_group_6(sK1,sK0,sK2)
| r3_lattices(k11_group_4(sK0),sK3,X4) )
& sK2 = X4
& sK1 = sK3
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK0))) )
=> ( ( ~ m1_group_6(sK1,sK0,sK2)
| ~ r3_lattices(k11_group_4(sK0),sK3,sK4) )
& ( m1_group_6(sK1,sK0,sK2)
| r3_lattices(k11_group_4(sK0),sK3,sK4) )
& sK2 = sK4
& sK1 = sK3
& m1_subset_1(sK4,u1_struct_0(k11_group_4(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f218,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(X1,X0,X2)
| ~ r3_lattices(k11_group_4(X0),X3,X4) )
& ( m1_group_6(X1,X0,X2)
| r3_lattices(k11_group_4(X0),X3,X4) )
& X2 = X4
& X1 = X3
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
& 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,[],[f217]) ).
fof(f217,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(X1,X0,X2)
| ~ r3_lattices(k11_group_4(X0),X3,X4) )
& ( m1_group_6(X1,X0,X2)
| r3_lattices(k11_group_4(X0),X3,X4) )
& X2 = X4
& X1 = X3
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
& 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(nnf_transformation,[],[f107]) ).
fof(f107,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( r3_lattices(k11_group_4(X0),X3,X4)
<~> m1_group_6(X1,X0,X2) )
& X2 = X4
& X1 = X3
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
& 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,[],[f106]) ).
fof(f106,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( r3_lattices(k11_group_4(X0),X3,X4)
<~> m1_group_6(X1,X0,X2) )
& X2 = X4
& X1 = X3
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
& 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,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [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)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
=> ( ( X2 = X4
& X1 = X3 )
=> ( r3_lattices(k11_group_4(X0),X3,X4)
<=> m1_group_6(X1,X0,X2) ) ) ) ) ) ) ),
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] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
=> ( ( X2 = X4
& X1 = X3 )
=> ( r3_lattices(k11_group_4(X0),X3,X4)
<=> m1_group_6(X1,X0,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',t31_latsubgr) ).
fof(f5787,plain,
( ~ m1_subset_1(sK3,sF28)
| r3_lattices(sF27,sK3,sK4)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95
| ~ spl29_197 ),
inference(subsumption_resolution,[],[f5781,f442]) ).
fof(f442,plain,
m1_subset_1(sK4,sF28),
inference(definition_folding,[],[f283,f441,f438]) ).
fof(f283,plain,
m1_subset_1(sK4,u1_struct_0(k11_group_4(sK0))),
inference(cnf_transformation,[],[f224]) ).
fof(f5781,plain,
( ~ m1_subset_1(sK4,sF28)
| ~ m1_subset_1(sK3,sF28)
| r3_lattices(sF27,sK3,sK4)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95
| ~ spl29_197 ),
inference(trivial_inequality_removal,[],[f5774]) ).
fof(f5774,plain,
( sK3 != sK3
| ~ m1_subset_1(sK4,sF28)
| ~ m1_subset_1(sK3,sF28)
| r3_lattices(sF27,sK3,sK4)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95
| ~ spl29_197 ),
inference(superposition,[],[f2310,f5656]) ).
fof(f5656,plain,
( sK3 = k4_lattices(sF27,sK4,sK3)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95
| ~ spl29_197 ),
inference(forward_demodulation,[],[f5655,f4164]) ).
fof(f4164,plain,
( sK3 = k9_group_2(sK0,sK3,sK4)
| ~ spl29_197 ),
inference(avatar_component_clause,[],[f4162]) ).
fof(f4162,plain,
( spl29_197
<=> sK3 = k9_group_2(sK0,sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_197])]) ).
fof(f5655,plain,
( k9_group_2(sK0,sK3,sK4) = k4_lattices(sF27,sK4,sK3)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f5654,f426]) ).
fof(f426,plain,
m1_group_2(sK4,sK0),
inference(definition_unfolding,[],[f281,f285]) ).
fof(f285,plain,
sK2 = sK4,
inference(cnf_transformation,[],[f224]) ).
fof(f281,plain,
m1_group_2(sK2,sK0),
inference(cnf_transformation,[],[f224]) ).
fof(f5654,plain,
( k9_group_2(sK0,sK3,sK4) = k4_lattices(sF27,sK4,sK3)
| ~ m1_group_2(sK4,sK0)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f5629,f427]) ).
fof(f427,plain,
m1_group_2(sK3,sK0),
inference(definition_unfolding,[],[f280,f284]) ).
fof(f284,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f224]) ).
fof(f280,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f224]) ).
fof(f5629,plain,
( k9_group_2(sK0,sK3,sK4) = k4_lattices(sF27,sK4,sK3)
| ~ m1_group_2(sK3,sK0)
| ~ m1_group_2(sK4,sK0)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(superposition,[],[f5579,f738]) ).
fof(f738,plain,
! [X0,X1] :
( k9_group_2(sK0,X1,X0) = k9_group_2(sK0,X0,X1)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f737,f276]) ).
fof(f276,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f224]) ).
fof(f737,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| k9_group_2(sK0,X1,X0) = k9_group_2(sK0,X0,X1)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f736,f277]) ).
fof(f277,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f224]) ).
fof(f736,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| k9_group_2(sK0,X1,X0) = k9_group_2(sK0,X0,X1)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f735,f279]) ).
fof(f279,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f224]) ).
fof(f735,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ l1_group_1(sK0)
| k9_group_2(sK0,X1,X0) = k9_group_2(sK0,X0,X1)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f301,f278]) ).
fof(f278,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f224]) ).
fof(f301,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| k9_group_2(X0,X1,X2) = k9_group_2(X0,X2,X1)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( k9_group_2(X0,X1,X2) = k9_group_2(X0,X2,X1)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( k9_group_2(X0,X1,X2) = k9_group_2(X0,X2,X1)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( m1_group_2(X2,X0)
& m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> k9_group_2(X0,X1,X2) = k9_group_2(X0,X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',commutativity_k9_group_2) ).
fof(f5579,plain,
( k9_group_2(sK0,sK4,sK3) = k4_lattices(sF27,sK4,sK3)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f5567,f442]) ).
fof(f5567,plain,
( k9_group_2(sK0,sK4,sK3) = k4_lattices(sF27,sK4,sK3)
| ~ m1_subset_1(sK4,sF28)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(resolution,[],[f4641,f426]) ).
fof(f4641,plain,
( ! [X0] :
( ~ m1_group_2(X0,sK0)
| k9_group_2(sK0,X0,sK3) = k4_lattices(sF27,X0,sK3)
| ~ m1_subset_1(X0,sF28) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f4630,f443]) ).
fof(f4630,plain,
( ! [X0] :
( ~ m1_subset_1(sK3,sF28)
| k9_group_2(sK0,X0,sK3) = k4_lattices(sF27,X0,sK3)
| ~ m1_group_2(X0,sK0)
| ~ m1_subset_1(X0,sF28) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(resolution,[],[f2738,f427]) ).
fof(f2738,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,sK0)
| ~ m1_subset_1(X1,sF28)
| k9_group_2(sK0,X0,X1) = k4_lattices(sF27,X0,X1)
| ~ m1_group_2(X0,sK0)
| ~ m1_subset_1(X0,sF28) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(duplicate_literal_removal,[],[f2737]) ).
fof(f2737,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28)
| k9_group_2(sK0,X0,X1) = k4_lattices(sF27,X0,X1)
| ~ m1_subset_1(X0,sF28)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(forward_demodulation,[],[f2736,f441]) ).
fof(f2736,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF28)
| k9_group_2(sK0,X0,X1) = k4_lattices(sF27,X0,X1)
| ~ m1_subset_1(X0,sF28)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_subset_1(X0,u1_struct_0(sF27)) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(duplicate_literal_removal,[],[f2735]) ).
fof(f2735,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF28)
| k9_group_2(sK0,X0,X1) = k4_lattices(sF27,X0,X1)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_subset_1(X0,u1_struct_0(sF27)) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(forward_demodulation,[],[f2734,f441]) ).
fof(f2734,plain,
( ! [X0,X1] :
( k9_group_2(sK0,X0,X1) = k4_lattices(sF27,X0,X1)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27)) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f2733,f464]) ).
fof(f464,plain,
( ~ v3_struct_0(sF27)
| spl29_3 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f463,plain,
( spl29_3
<=> v3_struct_0(sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_3])]) ).
fof(f2733,plain,
( ! [X0,X1] :
( k9_group_2(sK0,X0,X1) = k4_lattices(sF27,X0,X1)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| v3_struct_0(sF27) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f2732,f589]) ).
fof(f589,plain,
v6_lattices(sF27),
inference(subsumption_resolution,[],[f588,f276]) ).
fof(f588,plain,
( v6_lattices(sF27)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f587,f277]) ).
fof(f587,plain,
( v6_lattices(sF27)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f586,f278]) ).
fof(f586,plain,
( v6_lattices(sF27)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f585,f279]) ).
fof(f585,plain,
( v6_lattices(sF27)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(superposition,[],[f364,f438]) ).
fof(f364,plain,
! [X0] :
( v6_lattices(k11_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ( v9_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( v9_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v9_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v13_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(k11_group_4(X0))
& v13_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v15_lattices(k11_group_4(X0))
& v14_lattices(k11_group_4(X0))
& v13_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',fc1_group_4) ).
fof(f2732,plain,
( ! [X0,X1] :
( k9_group_2(sK0,X0,X1) = k4_lattices(sF27,X0,X1)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ v6_lattices(sF27)
| v3_struct_0(sF27) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f2721,f615]) ).
fof(f615,plain,
( l1_lattices(sF27)
| ~ spl29_17 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl29_17
<=> l1_lattices(sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_17])]) ).
fof(f2721,plain,
( ! [X0,X1] :
( k9_group_2(sK0,X0,X1) = k4_lattices(sF27,X0,X1)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ l1_lattices(sF27)
| ~ v6_lattices(sF27)
| v3_struct_0(sF27) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(superposition,[],[f2690,f392]) ).
fof(f392,plain,
! [X2,X0,X1] :
( k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',redefinition_k4_lattices) ).
fof(f2690,plain,
( ! [X0,X1] :
( k2_lattices(sF27,X0,X1) = k9_group_2(sK0,X0,X1)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(duplicate_literal_removal,[],[f2681]) ).
fof(f2681,plain,
( ! [X0,X1] :
( k2_lattices(sF27,X0,X1) = k9_group_2(sK0,X0,X1)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_subset_1(X1,sF28)
| ~ m1_subset_1(X0,sF28) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(superposition,[],[f2599,f834]) ).
fof(f834,plain,
( ! [X0,X1] :
( k2_lattices(sF27,X0,X1) = k2_binop_1(sF28,sF28,sF28,u1_lattices(sF27),X0,X1)
| ~ m1_subset_1(X1,sF28)
| ~ m1_subset_1(X0,sF28) )
| spl29_3
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f833,f464]) ).
fof(f833,plain,
( ! [X0,X1] :
( k2_lattices(sF27,X0,X1) = k2_binop_1(sF28,sF28,sF28,u1_lattices(sF27),X0,X1)
| ~ m1_subset_1(X1,sF28)
| ~ m1_subset_1(X0,sF28)
| v3_struct_0(sF27) )
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f832,f615]) ).
fof(f832,plain,
! [X0,X1] :
( k2_lattices(sF27,X0,X1) = k2_binop_1(sF28,sF28,sF28,u1_lattices(sF27),X0,X1)
| ~ m1_subset_1(X1,sF28)
| ~ m1_subset_1(X0,sF28)
| ~ l1_lattices(sF27)
| v3_struct_0(sF27) ),
inference(superposition,[],[f311,f441]) ).
fof(f311,plain,
! [X2,X0,X1] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',d2_lattices) ).
fof(f2599,plain,
( ! [X0,X1] :
( k9_group_2(sK0,X0,X1) = k2_binop_1(sF28,sF28,sF28,u1_lattices(sF27),X0,X1)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0) )
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(backward_demodulation,[],[f2474,f2580]) ).
fof(f2580,plain,
( u1_lattices(sF27) = k10_group_4(sK0)
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(trivial_inequality_removal,[],[f2579]) ).
fof(f2579,plain,
( sF27 != sF27
| u1_lattices(sF27) = k10_group_4(sK0)
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(superposition,[],[f2172,f2521]) ).
fof(f2521,plain,
sF27 = g3_lattices(sF28,k9_group_4(sK0),k10_group_4(sK0)),
inference(forward_demodulation,[],[f2520,f438]) ).
fof(f2520,plain,
k11_group_4(sK0) = g3_lattices(sF28,k9_group_4(sK0),k10_group_4(sK0)),
inference(subsumption_resolution,[],[f2519,f276]) ).
fof(f2519,plain,
( k11_group_4(sK0) = g3_lattices(sF28,k9_group_4(sK0),k10_group_4(sK0))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2518,f277]) ).
fof(f2518,plain,
( k11_group_4(sK0) = g3_lattices(sF28,k9_group_4(sK0),k10_group_4(sK0))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2517,f278]) ).
fof(f2517,plain,
( k11_group_4(sK0) = g3_lattices(sF28,k9_group_4(sK0),k10_group_4(sK0))
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2498,f279]) ).
fof(f2498,plain,
( k11_group_4(sK0) = g3_lattices(sF28,k9_group_4(sK0),k10_group_4(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(superposition,[],[f310,f2447]) ).
fof(f2447,plain,
sF28 = k1_group_3(sK0),
inference(trivial_inequality_removal,[],[f2446]) ).
fof(f2446,plain,
( sF27 != sF27
| sF28 = k1_group_3(sK0) ),
inference(superposition,[],[f2443,f644]) ).
fof(f644,plain,
sF27 = g3_lattices(sF28,u2_lattices(sF27),u1_lattices(sF27)),
inference(subsumption_resolution,[],[f643,f533]) ).
fof(f533,plain,
l3_lattices(sF27),
inference(subsumption_resolution,[],[f532,f276]) ).
fof(f532,plain,
( l3_lattices(sF27)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f531,f277]) ).
fof(f531,plain,
( l3_lattices(sF27)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f530,f278]) ).
fof(f530,plain,
( l3_lattices(sF27)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f523,f279]) ).
fof(f523,plain,
( l3_lattices(sF27)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(superposition,[],[f321,f438]) ).
fof(f321,plain,
! [X0] :
( l3_lattices(k11_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( l3_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( l3_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( l3_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( l3_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',dt_k11_group_4) ).
fof(f643,plain,
( sF27 = g3_lattices(sF28,u2_lattices(sF27),u1_lattices(sF27))
| ~ l3_lattices(sF27) ),
inference(subsumption_resolution,[],[f642,f522]) ).
fof(f522,plain,
v3_lattices(sF27),
inference(subsumption_resolution,[],[f521,f276]) ).
fof(f521,plain,
( v3_lattices(sF27)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f520,f277]) ).
fof(f520,plain,
( v3_lattices(sF27)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f519,f278]) ).
fof(f519,plain,
( v3_lattices(sF27)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f518,f279]) ).
fof(f518,plain,
( v3_lattices(sF27)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(superposition,[],[f320,f438]) ).
fof(f320,plain,
! [X0] :
( v3_lattices(k11_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f642,plain,
( sF27 = g3_lattices(sF28,u2_lattices(sF27),u1_lattices(sF27))
| ~ v3_lattices(sF27)
| ~ l3_lattices(sF27) ),
inference(superposition,[],[f289,f441]) ).
fof(f289,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',abstractness_v3_lattices) ).
fof(f2443,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF27
| k1_group_3(sK0) = X0 ),
inference(forward_demodulation,[],[f2442,f438]) ).
fof(f2442,plain,
! [X2,X0,X1] :
( k1_group_3(sK0) = X0
| g3_lattices(X0,X1,X2) != k11_group_4(sK0) ),
inference(subsumption_resolution,[],[f2441,f276]) ).
fof(f2441,plain,
! [X2,X0,X1] :
( k1_group_3(sK0) = X0
| g3_lattices(X0,X1,X2) != k11_group_4(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2440,f277]) ).
fof(f2440,plain,
! [X2,X0,X1] :
( k1_group_3(sK0) = X0
| g3_lattices(X0,X1,X2) != k11_group_4(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2439,f279]) ).
fof(f2439,plain,
! [X2,X0,X1] :
( k1_group_3(sK0) = X0
| ~ l1_group_1(sK0)
| g3_lattices(X0,X1,X2) != k11_group_4(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f2104,f278]) ).
fof(f2104,plain,
! [X2,X3,X0,X1] :
( ~ v4_group_1(X0)
| k1_group_3(X0) = X1
| ~ l1_group_1(X0)
| k11_group_4(X0) != g3_lattices(X1,X2,X3)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f2103,f331]) ).
fof(f331,plain,
! [X0] :
( m2_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( m2_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_2(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_1(k9_group_4(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( m2_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_2(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_1(k9_group_4(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_2(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_1(k9_group_4(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',dt_k9_group_4) ).
fof(f2103,plain,
! [X2,X3,X0,X1] :
( k11_group_4(X0) != g3_lattices(X1,X2,X3)
| k1_group_3(X0) = X1
| ~ m2_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f2102,f318]) ).
fof(f318,plain,
! [X0] :
( m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ( m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_2(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_1(k10_group_4(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_2(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_1(k10_group_4(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_2(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_1(k10_group_4(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',dt_k10_group_4) ).
fof(f2102,plain,
! [X2,X3,X0,X1] :
( k11_group_4(X0) != g3_lattices(X1,X2,X3)
| k1_group_3(X0) = X1
| ~ m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ m2_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f2101,f329]) ).
fof(f329,plain,
! [X0] :
( v1_funct_1(k9_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f2101,plain,
! [X2,X3,X0,X1] :
( k11_group_4(X0) != g3_lattices(X1,X2,X3)
| k1_group_3(X0) = X1
| ~ v1_funct_1(k9_group_4(X0))
| ~ m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ m2_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f2100,f330]) ).
fof(f330,plain,
! [X0] :
( v1_funct_2(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f2100,plain,
! [X2,X3,X0,X1] :
( k11_group_4(X0) != g3_lattices(X1,X2,X3)
| k1_group_3(X0) = X1
| ~ v1_funct_2(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_1(k9_group_4(X0))
| ~ m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ m2_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f2099,f316]) ).
fof(f316,plain,
! [X0] :
( v1_funct_1(k10_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f2099,plain,
! [X2,X3,X0,X1] :
( k11_group_4(X0) != g3_lattices(X1,X2,X3)
| ~ v1_funct_1(k10_group_4(X0))
| k1_group_3(X0) = X1
| ~ v1_funct_2(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_1(k9_group_4(X0))
| ~ m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ m2_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f2093,f317]) ).
fof(f317,plain,
! [X0] :
( v1_funct_2(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f2093,plain,
! [X2,X3,X0,X1] :
( k11_group_4(X0) != g3_lattices(X1,X2,X3)
| ~ v1_funct_2(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_1(k10_group_4(X0))
| k1_group_3(X0) = X1
| ~ v1_funct_2(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_1(k9_group_4(X0))
| ~ m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ m2_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(superposition,[],[f1393,f310]) ).
fof(f1393,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X3,X2) != g3_lattices(X1,X4,X5)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| X0 = X1
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) ),
inference(resolution,[],[f994,f396]) ).
fof(f396,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,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,[],[f74]) ).
fof(f74,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',redefinition_m2_relset_1) ).
fof(f994,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| X0 = X3
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(resolution,[],[f373,f396]) ).
fof(f373,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',free_g3_lattices) ).
fof(f310,plain,
! [X0] :
( k11_group_4(X0) = g3_lattices(k1_group_3(X0),k9_group_4(X0),k10_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( k11_group_4(X0) = g3_lattices(k1_group_3(X0),k9_group_4(X0),k10_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( k11_group_4(X0) = g3_lattices(k1_group_3(X0),k9_group_4(X0),k10_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> k11_group_4(X0) = g3_lattices(k1_group_3(X0),k9_group_4(X0),k10_group_4(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',d13_group_4) ).
fof(f2172,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF27
| u1_lattices(sF27) = X2 )
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f2171,f641]) ).
fof(f641,plain,
( m2_relset_1(u2_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ spl29_19 ),
inference(subsumption_resolution,[],[f640,f630]) ).
fof(f630,plain,
( l2_lattices(sF27)
| ~ spl29_19 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f629,plain,
( spl29_19
<=> l2_lattices(sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_19])]) ).
fof(f640,plain,
( m2_relset_1(u2_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ l2_lattices(sF27) ),
inference(superposition,[],[f350,f441]) ).
fof(f350,plain,
! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',dt_u2_lattices) ).
fof(f2171,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF27
| u1_lattices(sF27) = X2
| ~ m2_relset_1(u2_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28) )
| ~ spl29_17
| ~ spl29_18
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f2170,f626]) ).
fof(f626,plain,
( m2_relset_1(u1_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f625,f615]) ).
fof(f625,plain,
( m2_relset_1(u1_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ l1_lattices(sF27) ),
inference(superposition,[],[f347,f441]) ).
fof(f347,plain,
! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',dt_u1_lattices) ).
fof(f2170,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF27
| u1_lattices(sF27) = X2
| ~ m2_relset_1(u1_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ m2_relset_1(u2_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28) )
| ~ spl29_18
| ~ spl29_20
| ~ spl29_53
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f2169,f2112]) ).
fof(f2112,plain,
( v1_funct_1(u2_lattices(sF27))
| ~ spl29_95 ),
inference(avatar_component_clause,[],[f2111]) ).
fof(f2111,plain,
( spl29_95
<=> v1_funct_1(u2_lattices(sF27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_95])]) ).
fof(f2169,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF27
| u1_lattices(sF27) = X2
| ~ v1_funct_1(u2_lattices(sF27))
| ~ m2_relset_1(u1_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ m2_relset_1(u2_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28) )
| ~ spl29_18
| ~ spl29_20
| ~ spl29_53 ),
inference(subsumption_resolution,[],[f2168,f635]) ).
fof(f635,plain,
( v1_funct_2(u2_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ spl29_20 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f633,plain,
( spl29_20
<=> v1_funct_2(u2_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_20])]) ).
fof(f2168,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF27
| u1_lattices(sF27) = X2
| ~ v1_funct_2(u2_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ v1_funct_1(u2_lattices(sF27))
| ~ m2_relset_1(u1_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ m2_relset_1(u2_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28) )
| ~ spl29_18
| ~ spl29_53 ),
inference(subsumption_resolution,[],[f2167,f1162]) ).
fof(f1162,plain,
( v1_funct_1(u1_lattices(sF27))
| ~ spl29_53 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1161,plain,
( spl29_53
<=> v1_funct_1(u1_lattices(sF27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_53])]) ).
fof(f2167,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF27
| ~ v1_funct_1(u1_lattices(sF27))
| u1_lattices(sF27) = X2
| ~ v1_funct_2(u2_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ v1_funct_1(u2_lattices(sF27))
| ~ m2_relset_1(u1_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ m2_relset_1(u2_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28) )
| ~ spl29_18 ),
inference(subsumption_resolution,[],[f2156,f620]) ).
fof(f620,plain,
( v1_funct_2(u1_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ spl29_18 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f618,plain,
( spl29_18
<=> v1_funct_2(u1_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_18])]) ).
fof(f2156,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF27
| ~ v1_funct_2(u1_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ v1_funct_1(u1_lattices(sF27))
| u1_lattices(sF27) = X2
| ~ v1_funct_2(u2_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ v1_funct_1(u2_lattices(sF27))
| ~ m2_relset_1(u1_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ m2_relset_1(u2_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28) ),
inference(superposition,[],[f1452,f644]) ).
fof(f1452,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X2,X3,X0) != g3_lattices(X4,X5,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X0)
| X0 = X1
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2) ),
inference(resolution,[],[f1032,f396]) ).
fof(f1032,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| X2 = X5
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(resolution,[],[f375,f396]) ).
fof(f375,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X2 = X5
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f2474,plain,
! [X0,X1] :
( k9_group_2(sK0,X0,X1) = k2_binop_1(sF28,sF28,sF28,k10_group_4(sK0),X0,X1)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0) ),
inference(forward_demodulation,[],[f2473,f2447]) ).
fof(f2473,plain,
! [X0,X1] :
( k9_group_2(sK0,X0,X1) = k2_binop_1(sF28,sF28,sF28,k10_group_4(sK0),X0,X1)
| ~ m1_subset_1(X1,sF28)
| ~ m1_subset_1(X0,k1_group_3(sK0))
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0) ),
inference(forward_demodulation,[],[f2452,f2447]) ).
fof(f2452,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF28)
| k9_group_2(sK0,X0,X1) = k2_binop_1(k1_group_3(sK0),k1_group_3(sK0),k1_group_3(sK0),k10_group_4(sK0),X0,X1)
| ~ m1_subset_1(X0,k1_group_3(sK0))
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0) ),
inference(backward_demodulation,[],[f1386,f2447]) ).
fof(f1386,plain,
! [X0,X1] :
( k9_group_2(sK0,X0,X1) = k2_binop_1(k1_group_3(sK0),k1_group_3(sK0),k1_group_3(sK0),k10_group_4(sK0),X0,X1)
| ~ m1_subset_1(X1,k1_group_3(sK0))
| ~ m1_subset_1(X0,k1_group_3(sK0))
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0) ),
inference(subsumption_resolution,[],[f1385,f276]) ).
fof(f1385,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| ~ m1_subset_1(X1,k1_group_3(sK0))
| ~ m1_subset_1(X0,k1_group_3(sK0))
| k9_group_2(sK0,X0,X1) = k2_binop_1(k1_group_3(sK0),k1_group_3(sK0),k1_group_3(sK0),k10_group_4(sK0),X0,X1)
| ~ m1_group_2(X1,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1384,f277]) ).
fof(f1384,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| ~ m1_subset_1(X1,k1_group_3(sK0))
| ~ m1_subset_1(X0,k1_group_3(sK0))
| k9_group_2(sK0,X0,X1) = k2_binop_1(k1_group_3(sK0),k1_group_3(sK0),k1_group_3(sK0),k10_group_4(sK0),X0,X1)
| ~ m1_group_2(X1,sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1383,f279]) ).
fof(f1383,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| ~ m1_subset_1(X1,k1_group_3(sK0))
| ~ m1_subset_1(X0,k1_group_3(sK0))
| k9_group_2(sK0,X0,X1) = k2_binop_1(k1_group_3(sK0),k1_group_3(sK0),k1_group_3(sK0),k10_group_4(sK0),X0,X1)
| ~ l1_group_1(sK0)
| ~ m1_group_2(X1,sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f1059,f278]) ).
fof(f1059,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X0,k1_group_3(X1))
| ~ m1_subset_1(X2,k1_group_3(X1))
| k9_group_2(X1,X2,X0) = k2_binop_1(k1_group_3(X1),k1_group_3(X1),k1_group_3(X1),k10_group_4(X1),X2,X0)
| ~ l1_group_1(X1)
| ~ m1_group_2(X0,X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ),
inference(subsumption_resolution,[],[f1058,f317]) ).
fof(f1058,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X0,k1_group_3(X1))
| ~ m1_subset_1(X2,k1_group_3(X1))
| ~ v1_funct_2(k10_group_4(X1),k2_zfmisc_1(k1_group_3(X1),k1_group_3(X1)),k1_group_3(X1))
| k9_group_2(X1,X2,X0) = k2_binop_1(k1_group_3(X1),k1_group_3(X1),k1_group_3(X1),k10_group_4(X1),X2,X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ),
inference(subsumption_resolution,[],[f1057,f318]) ).
fof(f1057,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X0,k1_group_3(X1))
| ~ m1_subset_1(X2,k1_group_3(X1))
| ~ m2_relset_1(k10_group_4(X1),k2_zfmisc_1(k1_group_3(X1),k1_group_3(X1)),k1_group_3(X1))
| ~ v1_funct_2(k10_group_4(X1),k2_zfmisc_1(k1_group_3(X1),k1_group_3(X1)),k1_group_3(X1))
| k9_group_2(X1,X2,X0) = k2_binop_1(k1_group_3(X1),k1_group_3(X1),k1_group_3(X1),k10_group_4(X1),X2,X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ),
inference(duplicate_literal_removal,[],[f1056]) ).
fof(f1056,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X0,k1_group_3(X1))
| ~ m1_subset_1(X2,k1_group_3(X1))
| ~ m2_relset_1(k10_group_4(X1),k2_zfmisc_1(k1_group_3(X1),k1_group_3(X1)),k1_group_3(X1))
| ~ v1_funct_2(k10_group_4(X1),k2_zfmisc_1(k1_group_3(X1),k1_group_3(X1)),k1_group_3(X1))
| k9_group_2(X1,X2,X0) = k2_binop_1(k1_group_3(X1),k1_group_3(X1),k1_group_3(X1),k10_group_4(X1),X2,X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ),
inference(resolution,[],[f430,f316]) ).
fof(f430,plain,
! [X0,X8,X9] :
( ~ v1_funct_1(k10_group_4(X0))
| ~ m1_group_2(X9,X0)
| ~ m1_group_2(X8,X0)
| ~ m1_subset_1(X9,k1_group_3(X0))
| ~ m1_subset_1(X8,k1_group_3(X0))
| ~ m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| k9_group_2(X0,X8,X9) = k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),k10_group_4(X0),X8,X9)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f429]) ).
fof(f429,plain,
! [X0,X1,X8,X9] :
( k9_group_2(X0,X8,X9) = k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X8,X9)
| ~ m1_group_2(X9,X0)
| ~ m1_group_2(X8,X0)
| ~ m1_subset_1(X9,k1_group_3(X0))
| ~ m1_subset_1(X8,k1_group_3(X0))
| k10_group_4(X0) != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f428]) ).
fof(f428,plain,
! [X0,X1,X8,X6,X9] :
( k9_group_2(X0,X8,X9) = k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X6,X9)
| X6 != X8
| ~ m1_group_2(X9,X0)
| ~ m1_group_2(X8,X0)
| ~ m1_subset_1(X9,k1_group_3(X0))
| ~ m1_subset_1(X6,k1_group_3(X0))
| k10_group_4(X0) != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f302]) ).
fof(f302,plain,
! [X0,X1,X8,X6,X9,X7] :
( k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X6,X7) = k9_group_2(X0,X8,X9)
| X7 != X9
| X6 != X8
| ~ m1_group_2(X9,X0)
| ~ m1_group_2(X8,X0)
| ~ m1_subset_1(X7,k1_group_3(X0))
| ~ m1_subset_1(X6,k1_group_3(X0))
| k10_group_4(X0) != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ! [X1] :
( ( ( k10_group_4(X0) = X1
| ( k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK5(X0,X1),sK6(X0,X1)) != k9_group_2(X0,sK7(X0,X1),sK8(X0,X1))
& sK6(X0,X1) = sK8(X0,X1)
& sK5(X0,X1) = sK7(X0,X1)
& m1_group_2(sK8(X0,X1),X0)
& m1_group_2(sK7(X0,X1),X0)
& m1_subset_1(sK6(X0,X1),k1_group_3(X0))
& m1_subset_1(sK5(X0,X1),k1_group_3(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X6,X7) = k9_group_2(X0,X8,X9)
| X7 != X9
| X6 != X8
| ~ m1_group_2(X9,X0) )
| ~ m1_group_2(X8,X0) )
| ~ m1_subset_1(X7,k1_group_3(X0)) )
| ~ m1_subset_1(X6,k1_group_3(X0)) )
| k10_group_4(X0) != X1 ) )
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f226,f230,f229,f228,f227]) ).
fof(f227,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) != k9_group_2(X0,X4,X5)
& X3 = X5
& X2 = X4
& m1_group_2(X5,X0) )
& m1_group_2(X4,X0) )
& m1_subset_1(X3,k1_group_3(X0)) )
& m1_subset_1(X2,k1_group_3(X0)) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( k9_group_2(X0,X4,X5) != k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK5(X0,X1),X3)
& X3 = X5
& sK5(X0,X1) = X4
& m1_group_2(X5,X0) )
& m1_group_2(X4,X0) )
& m1_subset_1(X3,k1_group_3(X0)) )
& m1_subset_1(sK5(X0,X1),k1_group_3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
! [X0,X1] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k9_group_2(X0,X4,X5) != k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK5(X0,X1),X3)
& X3 = X5
& sK5(X0,X1) = X4
& m1_group_2(X5,X0) )
& m1_group_2(X4,X0) )
& m1_subset_1(X3,k1_group_3(X0)) )
=> ( ? [X4] :
( ? [X5] :
( k9_group_2(X0,X4,X5) != k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK5(X0,X1),sK6(X0,X1))
& sK6(X0,X1) = X5
& sK5(X0,X1) = X4
& m1_group_2(X5,X0) )
& m1_group_2(X4,X0) )
& m1_subset_1(sK6(X0,X1),k1_group_3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( k9_group_2(X0,X4,X5) != k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK5(X0,X1),sK6(X0,X1))
& sK6(X0,X1) = X5
& sK5(X0,X1) = X4
& m1_group_2(X5,X0) )
& m1_group_2(X4,X0) )
=> ( ? [X5] :
( k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK5(X0,X1),sK6(X0,X1)) != k9_group_2(X0,sK7(X0,X1),X5)
& sK6(X0,X1) = X5
& sK5(X0,X1) = sK7(X0,X1)
& m1_group_2(X5,X0) )
& m1_group_2(sK7(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f230,plain,
! [X0,X1] :
( ? [X5] :
( k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK5(X0,X1),sK6(X0,X1)) != k9_group_2(X0,sK7(X0,X1),X5)
& sK6(X0,X1) = X5
& sK5(X0,X1) = sK7(X0,X1)
& m1_group_2(X5,X0) )
=> ( k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK5(X0,X1),sK6(X0,X1)) != k9_group_2(X0,sK7(X0,X1),sK8(X0,X1))
& sK6(X0,X1) = sK8(X0,X1)
& sK5(X0,X1) = sK7(X0,X1)
& m1_group_2(sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( ( ( k10_group_4(X0) = X1
| ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) != k9_group_2(X0,X4,X5)
& X3 = X5
& X2 = X4
& m1_group_2(X5,X0) )
& m1_group_2(X4,X0) )
& m1_subset_1(X3,k1_group_3(X0)) )
& m1_subset_1(X2,k1_group_3(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X6,X7) = k9_group_2(X0,X8,X9)
| X7 != X9
| X6 != X8
| ~ m1_group_2(X9,X0) )
| ~ m1_group_2(X8,X0) )
| ~ m1_subset_1(X7,k1_group_3(X0)) )
| ~ m1_subset_1(X6,k1_group_3(X0)) )
| k10_group_4(X0) != X1 ) )
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f225]) ).
fof(f225,plain,
! [X0] :
( ! [X1] :
( ( ( k10_group_4(X0) = X1
| ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) != k9_group_2(X0,X4,X5)
& X3 = X5
& X2 = X4
& m1_group_2(X5,X0) )
& m1_group_2(X4,X0) )
& m1_subset_1(X3,k1_group_3(X0)) )
& m1_subset_1(X2,k1_group_3(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) = k9_group_2(X0,X4,X5)
| X3 != X5
| X2 != X4
| ~ m1_group_2(X5,X0) )
| ~ m1_group_2(X4,X0) )
| ~ m1_subset_1(X3,k1_group_3(X0)) )
| ~ m1_subset_1(X2,k1_group_3(X0)) )
| k10_group_4(X0) != X1 ) )
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ( k10_group_4(X0) = X1
<=> ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) = k9_group_2(X0,X4,X5)
| X3 != X5
| X2 != X4
| ~ m1_group_2(X5,X0) )
| ~ m1_group_2(X4,X0) )
| ~ m1_subset_1(X3,k1_group_3(X0)) )
| ~ m1_subset_1(X2,k1_group_3(X0)) ) )
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( k10_group_4(X0) = X1
<=> ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) = k9_group_2(X0,X4,X5)
| X3 != X5
| X2 != X4
| ~ m1_group_2(X5,X0) )
| ~ m1_group_2(X4,X0) )
| ~ m1_subset_1(X3,k1_group_3(X0)) )
| ~ m1_subset_1(X2,k1_group_3(X0)) ) )
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_1(X1) )
=> ( k10_group_4(X0) = X1
<=> ! [X2] :
( m1_subset_1(X2,k1_group_3(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_group_3(X0))
=> ! [X4] :
( m1_group_2(X4,X0)
=> ! [X5] :
( m1_group_2(X5,X0)
=> ( ( X3 = X5
& X2 = X4 )
=> k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) = k9_group_2(X0,X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',d12_group_4) ).
fof(f2310,plain,
( ! [X0,X1] :
( k4_lattices(sF27,X0,X1) != X1
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28)
| r3_lattices(sF27,X1,X0) )
| spl29_3
| ~ spl29_17 ),
inference(duplicate_literal_removal,[],[f2309]) ).
fof(f2309,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF28)
| ~ m1_subset_1(X0,sF28)
| k4_lattices(sF27,X0,X1) != X1
| ~ m1_subset_1(X1,sF28)
| r3_lattices(sF27,X1,X0) )
| spl29_3
| ~ spl29_17 ),
inference(forward_demodulation,[],[f2308,f441]) ).
fof(f2308,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| k4_lattices(sF27,X0,X1) != X1
| ~ m1_subset_1(X1,sF28)
| r3_lattices(sF27,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sF27)) )
| spl29_3
| ~ spl29_17 ),
inference(duplicate_literal_removal,[],[f2307]) ).
fof(f2307,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X0,sF28)
| k4_lattices(sF27,X0,X1) != X1
| ~ m1_subset_1(X1,sF28)
| r3_lattices(sF27,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sF27)) )
| spl29_3
| ~ spl29_17 ),
inference(forward_demodulation,[],[f2306,f441]) ).
fof(f2306,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| k4_lattices(sF27,X0,X1) != X1
| ~ m1_subset_1(X1,sF28)
| r3_lattices(sF27,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,u1_struct_0(sF27)) )
| spl29_3
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f2305,f464]) ).
fof(f2305,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| k4_lattices(sF27,X0,X1) != X1
| ~ m1_subset_1(X1,sF28)
| r3_lattices(sF27,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| v3_struct_0(sF27) )
| spl29_3
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f2304,f589]) ).
fof(f2304,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| k4_lattices(sF27,X0,X1) != X1
| ~ m1_subset_1(X1,sF28)
| r3_lattices(sF27,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ v6_lattices(sF27)
| v3_struct_0(sF27) )
| spl29_3
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f2303,f594]) ).
fof(f594,plain,
v8_lattices(sF27),
inference(subsumption_resolution,[],[f593,f276]) ).
fof(f593,plain,
( v8_lattices(sF27)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f592,f277]) ).
fof(f592,plain,
( v8_lattices(sF27)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f591,f278]) ).
fof(f591,plain,
( v8_lattices(sF27)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f590,f279]) ).
fof(f590,plain,
( v8_lattices(sF27)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(superposition,[],[f365,f438]) ).
fof(f365,plain,
! [X0] :
( v8_lattices(k11_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f2303,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| k4_lattices(sF27,X0,X1) != X1
| ~ m1_subset_1(X1,sF28)
| r3_lattices(sF27,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ v8_lattices(sF27)
| ~ v6_lattices(sF27)
| v3_struct_0(sF27) )
| spl29_3
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f2302,f599]) ).
fof(f599,plain,
v9_lattices(sF27),
inference(subsumption_resolution,[],[f598,f276]) ).
fof(f598,plain,
( v9_lattices(sF27)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f597,f277]) ).
fof(f597,plain,
( v9_lattices(sF27)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f596,f278]) ).
fof(f596,plain,
( v9_lattices(sF27)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f595,f279]) ).
fof(f595,plain,
( v9_lattices(sF27)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(superposition,[],[f366,f438]) ).
fof(f366,plain,
! [X0] :
( v9_lattices(k11_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f2302,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| k4_lattices(sF27,X0,X1) != X1
| ~ m1_subset_1(X1,sF28)
| r3_lattices(sF27,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ v9_lattices(sF27)
| ~ v8_lattices(sF27)
| ~ v6_lattices(sF27)
| v3_struct_0(sF27) )
| spl29_3
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f2293,f533]) ).
fof(f2293,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| k4_lattices(sF27,X0,X1) != X1
| ~ m1_subset_1(X1,sF28)
| r3_lattices(sF27,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ l3_lattices(sF27)
| ~ v9_lattices(sF27)
| ~ v8_lattices(sF27)
| ~ v6_lattices(sF27)
| v3_struct_0(sF27) )
| spl29_3
| ~ spl29_17 ),
inference(resolution,[],[f1575,f401]) ).
fof(f401,plain,
! [X2,X0,X1] :
( ~ r1_lattices(X0,X1,X2)
| r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1,X2] :
( ( ( r3_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X1,X2) )
& ( r1_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X1,X2) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',redefinition_r3_lattices) ).
fof(f1575,plain,
( ! [X0,X1] :
( r1_lattices(sF27,X0,X1)
| ~ m1_subset_1(X1,sF28)
| k4_lattices(sF27,X1,X0) != X0
| ~ m1_subset_1(X0,sF28) )
| spl29_3
| ~ spl29_17 ),
inference(duplicate_literal_removal,[],[f1574]) ).
fof(f1574,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28)
| k4_lattices(sF27,X1,X0) != X0
| r1_lattices(sF27,X0,X1)
| ~ m1_subset_1(X0,sF28) )
| spl29_3
| ~ spl29_17 ),
inference(forward_demodulation,[],[f1573,f441]) ).
fof(f1573,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF28)
| k4_lattices(sF27,X1,X0) != X0
| r1_lattices(sF27,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X0,sF28) )
| spl29_3
| ~ spl29_17 ),
inference(duplicate_literal_removal,[],[f1572]) ).
fof(f1572,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF28)
| k4_lattices(sF27,X1,X0) != X0
| r1_lattices(sF27,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28) )
| spl29_3
| ~ spl29_17 ),
inference(forward_demodulation,[],[f1571,f441]) ).
fof(f1571,plain,
( ! [X0,X1] :
( k4_lattices(sF27,X1,X0) != X0
| r1_lattices(sF27,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28) )
| spl29_3
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f1570,f589]) ).
fof(f1570,plain,
( ! [X0,X1] :
( k4_lattices(sF27,X1,X0) != X0
| r1_lattices(sF27,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ v6_lattices(sF27)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28) )
| spl29_3
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f1569,f464]) ).
fof(f1569,plain,
( ! [X0,X1] :
( k4_lattices(sF27,X1,X0) != X0
| r1_lattices(sF27,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| v3_struct_0(sF27)
| ~ v6_lattices(sF27)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28) )
| spl29_3
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f1568,f594]) ).
fof(f1568,plain,
( ! [X0,X1] :
( k4_lattices(sF27,X1,X0) != X0
| r1_lattices(sF27,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ v8_lattices(sF27)
| v3_struct_0(sF27)
| ~ v6_lattices(sF27)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28) )
| spl29_3
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f1567,f599]) ).
fof(f1567,plain,
( ! [X0,X1] :
( k4_lattices(sF27,X1,X0) != X0
| r1_lattices(sF27,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ v9_lattices(sF27)
| ~ v8_lattices(sF27)
| v3_struct_0(sF27)
| ~ v6_lattices(sF27)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28) )
| spl29_3
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f1560,f533]) ).
fof(f1560,plain,
( ! [X0,X1] :
( k4_lattices(sF27,X1,X0) != X0
| r1_lattices(sF27,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ l3_lattices(sF27)
| ~ v9_lattices(sF27)
| ~ v8_lattices(sF27)
| v3_struct_0(sF27)
| ~ v6_lattices(sF27)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28) )
| spl29_3
| ~ spl29_17 ),
inference(superposition,[],[f827,f733]) ).
fof(f733,plain,
( ! [X0,X1] :
( k4_lattices(sF27,X0,X1) = k4_lattices(sF27,X1,X0)
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28) )
| spl29_3
| ~ spl29_17 ),
inference(forward_demodulation,[],[f732,f441]) ).
fof(f732,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| k4_lattices(sF27,X0,X1) = k4_lattices(sF27,X1,X0) )
| spl29_3
| ~ spl29_17 ),
inference(forward_demodulation,[],[f731,f441]) ).
fof(f731,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| k4_lattices(sF27,X0,X1) = k4_lattices(sF27,X1,X0) )
| spl29_3
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f730,f464]) ).
fof(f730,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| k4_lattices(sF27,X0,X1) = k4_lattices(sF27,X1,X0)
| v3_struct_0(sF27) )
| ~ spl29_17 ),
inference(subsumption_resolution,[],[f728,f615]) ).
fof(f728,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ l1_lattices(sF27)
| k4_lattices(sF27,X0,X1) = k4_lattices(sF27,X1,X0)
| v3_struct_0(sF27) ),
inference(resolution,[],[f300,f589]) ).
fof(f300,plain,
! [X2,X0,X1] :
( ~ v6_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',commutativity_k4_lattices) ).
fof(f827,plain,
! [X2,X0,X1] :
( k4_lattices(X0,X1,X2) != X1
| r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| v3_struct_0(X0)
| ~ v6_lattices(X0) ),
inference(subsumption_resolution,[],[f826,f335]) ).
fof(f335,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',dt_l3_lattices) ).
fof(f826,plain,
! [X2,X0,X1] :
( k4_lattices(X0,X1,X2) != X1
| r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| ~ v6_lattices(X0) ),
inference(duplicate_literal_removal,[],[f825]) ).
fof(f825,plain,
! [X2,X0,X1] :
( k4_lattices(X0,X1,X2) != X1
| r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(superposition,[],[f410,f392]) ).
fof(f410,plain,
! [X2,X0,X1] :
( k2_lattices(X0,X1,X2) != X1
| r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_lattices(X0,X1,X2)
| k2_lattices(X0,X1,X2) != X1 )
& ( k2_lattices(X0,X1,X2) = X1
| ~ r1_lattices(X0,X1,X2) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_lattices(X0,X1,X2)
<=> k2_lattices(X0,X1,X2) = X1 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_lattices(X0,X1,X2)
<=> k2_lattices(X0,X1,X2) = X1 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ( l3_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r1_lattices(X0,X1,X2)
<=> k2_lattices(X0,X1,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',t21_lattices) ).
fof(f4231,plain,
spl29_195,
inference(avatar_contradiction_clause,[],[f4230]) ).
fof(f4230,plain,
( $false
| spl29_195 ),
inference(subsumption_resolution,[],[f4229,f276]) ).
fof(f4229,plain,
( v3_struct_0(sK0)
| spl29_195 ),
inference(subsumption_resolution,[],[f4228,f277]) ).
fof(f4228,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl29_195 ),
inference(subsumption_resolution,[],[f4227,f278]) ).
fof(f4227,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl29_195 ),
inference(subsumption_resolution,[],[f4226,f279]) ).
fof(f4226,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl29_195 ),
inference(subsumption_resolution,[],[f4225,f427]) ).
fof(f4225,plain,
( ~ m1_group_2(sK3,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl29_195 ),
inference(subsumption_resolution,[],[f4222,f426]) ).
fof(f4222,plain,
( ~ m1_group_2(sK4,sK0)
| ~ m1_group_2(sK3,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl29_195 ),
inference(resolution,[],[f4149,f328]) ).
fof(f328,plain,
! [X2,X0,X1] :
( m1_group_2(k9_group_2(X0,X1,X2),X0)
| ~ 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,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ( m1_group_2(k9_group_2(X0,X1,X2),X0)
& v1_group_1(k9_group_2(X0,X1,X2)) )
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ( m1_group_2(k9_group_2(X0,X1,X2),X0)
& v1_group_1(k9_group_2(X0,X1,X2)) )
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1,X2] :
( ( m1_group_2(X2,X0)
& m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k9_group_2(X0,X1,X2),X0)
& v1_group_1(k9_group_2(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',dt_k9_group_2) ).
fof(f4149,plain,
( ~ m1_group_2(k9_group_2(sK0,sK3,sK4),sK0)
| spl29_195 ),
inference(avatar_component_clause,[],[f4147]) ).
fof(f4147,plain,
( spl29_195
<=> m1_group_2(k9_group_2(sK0,sK3,sK4),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_195])]) ).
fof(f4181,plain,
spl29_194,
inference(avatar_contradiction_clause,[],[f4180]) ).
fof(f4180,plain,
( $false
| spl29_194 ),
inference(subsumption_resolution,[],[f4179,f426]) ).
fof(f4179,plain,
( ~ m1_group_2(sK4,sK0)
| spl29_194 ),
inference(subsumption_resolution,[],[f4177,f427]) ).
fof(f4177,plain,
( ~ m1_group_2(sK3,sK0)
| ~ m1_group_2(sK4,sK0)
| spl29_194 ),
inference(resolution,[],[f4145,f702]) ).
fof(f702,plain,
! [X0,X1] :
( v1_group_1(k9_group_2(sK0,X1,X0))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f701,f276]) ).
fof(f701,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| v1_group_1(k9_group_2(sK0,X1,X0))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f700,f277]) ).
fof(f700,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| v1_group_1(k9_group_2(sK0,X1,X0))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f699,f279]) ).
fof(f699,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ l1_group_1(sK0)
| v1_group_1(k9_group_2(sK0,X1,X0))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f327,f278]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| v1_group_1(k9_group_2(X0,X1,X2))
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f4145,plain,
( ~ v1_group_1(k9_group_2(sK0,sK3,sK4))
| spl29_194 ),
inference(avatar_component_clause,[],[f4143]) ).
fof(f4143,plain,
( spl29_194
<=> v1_group_1(k9_group_2(sK0,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_194])]) ).
fof(f4165,plain,
( ~ spl29_194
| ~ spl29_195
| spl29_197
| ~ spl29_2
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(avatar_split_clause,[],[f4160,f2111,f1592,f1161,f633,f629,f618,f614,f463,f450,f4162,f4147,f4143]) ).
fof(f450,plain,
( spl29_2
<=> m1_group_6(sK3,sK0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_2])]) ).
fof(f1592,plain,
( spl29_78
<=> ! [X0] :
( ~ m1_subset_1(X0,sF28)
| k2_lattices(sF27,X0,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_78])]) ).
fof(f4160,plain,
( sK3 = k9_group_2(sK0,sK3,sK4)
| ~ m1_group_2(k9_group_2(sK0,sK3,sK4),sK0)
| ~ v1_group_1(k9_group_2(sK0,sK3,sK4))
| ~ spl29_2
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f4159,f276]) ).
fof(f4159,plain,
( sK3 = k9_group_2(sK0,sK3,sK4)
| ~ m1_group_2(k9_group_2(sK0,sK3,sK4),sK0)
| ~ v1_group_1(k9_group_2(sK0,sK3,sK4))
| v3_struct_0(sK0)
| ~ spl29_2
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f4158,f277]) ).
fof(f4158,plain,
( sK3 = k9_group_2(sK0,sK3,sK4)
| ~ m1_group_2(k9_group_2(sK0,sK3,sK4),sK0)
| ~ v1_group_1(k9_group_2(sK0,sK3,sK4))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl29_2
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f4157,f278]) ).
fof(f4157,plain,
( sK3 = k9_group_2(sK0,sK3,sK4)
| ~ m1_group_2(k9_group_2(sK0,sK3,sK4),sK0)
| ~ v1_group_1(k9_group_2(sK0,sK3,sK4))
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl29_2
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f4156,f279]) ).
fof(f4156,plain,
( sK3 = k9_group_2(sK0,sK3,sK4)
| ~ m1_group_2(k9_group_2(sK0,sK3,sK4),sK0)
| ~ v1_group_1(k9_group_2(sK0,sK3,sK4))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl29_2
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f4155,f2825]) ).
fof(f2825,plain,
( v1_group_1(sK3)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f2824,f427]) ).
fof(f2824,plain,
( v1_group_1(sK3)
| ~ m1_group_2(sK3,sK0)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(duplicate_literal_removal,[],[f2807]) ).
fof(f2807,plain,
( v1_group_1(sK3)
| ~ m1_group_2(sK3,sK0)
| ~ m1_group_2(sK3,sK0)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(superposition,[],[f702,f2762]) ).
fof(f2762,plain,
( sK3 = k9_group_2(sK0,sK3,sK3)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f2751,f443]) ).
fof(f2751,plain,
( ~ m1_subset_1(sK3,sF28)
| sK3 = k9_group_2(sK0,sK3,sK3)
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(resolution,[],[f2731,f427]) ).
fof(f2731,plain,
( ! [X0] :
( ~ m1_group_2(X0,sK0)
| ~ m1_subset_1(X0,sF28)
| k9_group_2(sK0,X0,X0) = X0 )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(duplicate_literal_removal,[],[f2720]) ).
fof(f2720,plain,
( ! [X0] :
( k9_group_2(sK0,X0,X0) = X0
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X0,sF28)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X0,sK0)
| ~ m1_subset_1(X0,sF28) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(superposition,[],[f2690,f1593]) ).
fof(f1593,plain,
( ! [X0] :
( k2_lattices(sF27,X0,X0) = X0
| ~ m1_subset_1(X0,sF28) )
| ~ spl29_78 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f4155,plain,
( sK3 = k9_group_2(sK0,sK3,sK4)
| ~ v1_group_1(sK3)
| ~ m1_group_2(k9_group_2(sK0,sK3,sK4),sK0)
| ~ v1_group_1(k9_group_2(sK0,sK3,sK4))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl29_2
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f4132,f427]) ).
fof(f4132,plain,
( sK3 = k9_group_2(sK0,sK3,sK4)
| ~ m1_group_2(sK3,sK0)
| ~ v1_group_1(sK3)
| ~ m1_group_2(k9_group_2(sK0,sK3,sK4),sK0)
| ~ v1_group_1(k9_group_2(sK0,sK3,sK4))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl29_2
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(resolution,[],[f4123,f398]) ).
fof(f398,plain,
! [X2,X0,X1] :
( ~ r1_group_2(X0,X1,X2)
| X1 = X2
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0,X1,X2] :
( ( ( r1_group_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_group_2(X0,X1,X2) ) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0,X1,X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2)
& m1_group_2(X1,X0)
& v1_group_1(X1)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( r1_group_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',redefinition_r1_group_2) ).
fof(f4123,plain,
( r1_group_2(sK0,k9_group_2(sK0,sK3,sK4),sK3)
| ~ spl29_2
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f4120,f426]) ).
fof(f4120,plain,
( r1_group_2(sK0,k9_group_2(sK0,sK3,sK4),sK3)
| ~ m1_group_2(sK4,sK0)
| ~ spl29_2
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(resolution,[],[f4058,f451]) ).
fof(f451,plain,
( m1_group_6(sK3,sK0,sK4)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f4058,plain,
( ! [X0] :
( ~ m1_group_6(sK3,sK0,X0)
| r1_group_2(sK0,k9_group_2(sK0,sK3,X0),sK3)
| ~ m1_group_2(X0,sK0) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(duplicate_literal_removal,[],[f4054]) ).
fof(f4054,plain,
( ! [X0] :
( ~ m1_group_2(X0,sK0)
| r1_group_2(sK0,k9_group_2(sK0,sK3,X0),sK3)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_6(sK3,sK0,X0) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(resolution,[],[f2847,f674]) ).
fof(f674,plain,
! [X0,X1] :
( m1_group_2(X0,X1)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_6(X0,sK0,X1) ),
inference(subsumption_resolution,[],[f673,f276]) ).
fof(f673,plain,
! [X0,X1] :
( ~ m1_group_6(X0,sK0,X1)
| ~ m1_group_2(X1,sK0)
| m1_group_2(X0,X1)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f672,f277]) ).
fof(f672,plain,
! [X0,X1] :
( ~ m1_group_6(X0,sK0,X1)
| ~ m1_group_2(X1,sK0)
| m1_group_2(X0,X1)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f671,f279]) ).
fof(f671,plain,
! [X0,X1] :
( ~ m1_group_6(X0,sK0,X1)
| ~ m1_group_2(X1,sK0)
| ~ l1_group_1(sK0)
| m1_group_2(X0,X1)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f394,f278]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_6(X2,X0,X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| m1_group_2(X2,X1)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,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,[],[f187]) ).
fof(f187,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,[],[f186]) ).
fof(f186,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,[],[f73]) ).
fof(f73,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.MU9wlKNW1h/Vampire---4.8_6325',redefinition_m1_group_6) ).
fof(f2847,plain,
( ! [X0] :
( ~ m1_group_2(sK3,X0)
| ~ m1_group_2(X0,sK0)
| r1_group_2(sK0,k9_group_2(sK0,sK3,X0),sK3) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(subsumption_resolution,[],[f2821,f427]) ).
fof(f2821,plain,
( ! [X0] :
( ~ m1_group_2(sK3,sK0)
| ~ m1_group_2(sK3,X0)
| ~ m1_group_2(X0,sK0)
| r1_group_2(sK0,k9_group_2(sK0,sK3,X0),sK3) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(duplicate_literal_removal,[],[f2810]) ).
fof(f2810,plain,
( ! [X0] :
( ~ m1_group_2(sK3,sK0)
| ~ m1_group_2(sK3,X0)
| ~ m1_group_2(X0,sK0)
| r1_group_2(sK0,k9_group_2(sK0,sK3,X0),sK3)
| ~ m1_group_2(sK3,sK0)
| ~ m1_group_2(sK3,sK0) )
| spl29_3
| ~ spl29_17
| ~ spl29_18
| ~ spl29_19
| ~ spl29_20
| ~ spl29_53
| ~ spl29_78
| ~ spl29_95 ),
inference(superposition,[],[f1135,f2762]) ).
fof(f1135,plain,
! [X2,X0,X1] :
( ~ m1_group_2(k9_group_2(sK0,X0,X1),sK0)
| ~ m1_group_2(k9_group_2(sK0,X0,X1),X2)
| ~ m1_group_2(X2,sK0)
| r1_group_2(sK0,k9_group_2(sK0,k9_group_2(sK0,X0,X1),X2),k9_group_2(sK0,X0,X1))
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0) ),
inference(resolution,[],[f803,f702]) ).
fof(f803,plain,
! [X0,X1] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X0,X1)
| ~ m1_group_2(X1,sK0)
| r1_group_2(sK0,k9_group_2(sK0,X0,X1),X0) ),
inference(subsumption_resolution,[],[f802,f276]) ).
fof(f802,plain,
! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X1,sK0)
| r1_group_2(sK0,k9_group_2(sK0,X0,X1),X0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f801,f277]) ).
fof(f801,plain,
! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X1,sK0)
| r1_group_2(sK0,k9_group_2(sK0,X0,X1),X0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f800,f279]) ).
fof(f800,plain,
! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X1,sK0)
| ~ l1_group_1(sK0)
| r1_group_2(sK0,k9_group_2(sK0,X0,X1),X0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f406,f278]) ).
fof(f406,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| r1_group_2(X0,k9_group_2(X0,X2,X1),X2)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( m1_group_2(X2,X1)
| ~ r1_group_2(X0,k9_group_2(X0,X2,X1),X2) )
& ( r1_group_2(X0,k9_group_2(X0,X2,X1),X2)
| ~ m1_group_2(X2,X1) ) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( m1_group_2(X2,X1)
<=> r1_group_2(X0,k9_group_2(X0,X2,X1),X2) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( m1_group_2(X2,X1)
<=> r1_group_2(X0,k9_group_2(X0,X2,X1),X2) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,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)
& v1_group_1(X2) )
=> ( m1_group_2(X2,X1)
<=> r1_group_2(X0,k9_group_2(X0,X2,X1),X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',t107_group_2) ).
fof(f3811,plain,
( ~ spl29_1
| spl29_2 ),
inference(avatar_contradiction_clause,[],[f3810]) ).
fof(f3810,plain,
( $false
| ~ spl29_1
| spl29_2 ),
inference(subsumption_resolution,[],[f3809,f443]) ).
fof(f3809,plain,
( ~ m1_subset_1(sK3,sF28)
| ~ spl29_1
| spl29_2 ),
inference(subsumption_resolution,[],[f3808,f427]) ).
fof(f3808,plain,
( ~ m1_group_2(sK3,sK0)
| ~ m1_subset_1(sK3,sF28)
| ~ spl29_1
| spl29_2 ),
inference(subsumption_resolution,[],[f3807,f426]) ).
fof(f3807,plain,
( ~ m1_group_2(sK4,sK0)
| ~ m1_group_2(sK3,sK0)
| ~ m1_subset_1(sK3,sF28)
| ~ spl29_1
| spl29_2 ),
inference(subsumption_resolution,[],[f3806,f447]) ).
fof(f447,plain,
( r3_lattices(sF27,sK3,sK4)
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f3806,plain,
( ~ r3_lattices(sF27,sK3,sK4)
| ~ m1_group_2(sK4,sK0)
| ~ m1_group_2(sK3,sK0)
| ~ m1_subset_1(sK3,sF28)
| spl29_2 ),
inference(subsumption_resolution,[],[f3804,f442]) ).
fof(f3804,plain,
( ~ m1_subset_1(sK4,sF28)
| ~ r3_lattices(sF27,sK3,sK4)
| ~ m1_group_2(sK4,sK0)
| ~ m1_group_2(sK3,sK0)
| ~ m1_subset_1(sK3,sF28)
| spl29_2 ),
inference(resolution,[],[f3803,f897]) ).
fof(f897,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X1,sF28)
| ~ r3_lattices(sF27,X0,X1)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ m1_subset_1(X0,sF28) ),
inference(forward_demodulation,[],[f896,f441]) ).
fof(f896,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,sF28)
| ~ r3_lattices(sF27,X0,X1)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(forward_demodulation,[],[f895,f438]) ).
fof(f895,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF28)
| ~ r3_lattices(sF27,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK0)))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(forward_demodulation,[],[f894,f441]) ).
fof(f894,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ r3_lattices(sF27,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK0)))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(forward_demodulation,[],[f893,f438]) ).
fof(f893,plain,
! [X0,X1] :
( ~ r3_lattices(sF27,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(k11_group_4(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK0)))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(forward_demodulation,[],[f892,f438]) ).
fof(f892,plain,
! [X0,X1] :
( ~ r3_lattices(k11_group_4(sK0),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(k11_group_4(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK0)))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(subsumption_resolution,[],[f891,f276]) ).
fof(f891,plain,
! [X0,X1] :
( ~ r3_lattices(k11_group_4(sK0),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(k11_group_4(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK0)))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f890,f277]) ).
fof(f890,plain,
! [X0,X1] :
( ~ r3_lattices(k11_group_4(sK0),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(k11_group_4(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK0)))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f889,f279]) ).
fof(f889,plain,
! [X0,X1] :
( ~ r3_lattices(k11_group_4(sK0),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(k11_group_4(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK0)))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ l1_group_1(sK0)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f437,f278]) ).
fof(f437,plain,
! [X3,X0,X4] :
( ~ v4_group_1(X0)
| ~ r3_lattices(k11_group_4(X0),X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ~ m1_group_2(X4,X0)
| ~ m1_group_2(X3,X0)
| ~ l1_group_1(X0)
| r1_tarski(u1_struct_0(X3),u1_struct_0(X4))
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f436]) ).
fof(f436,plain,
! [X3,X0,X1,X4] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X4))
| ~ r3_lattices(k11_group_4(X0),X3,X4)
| X1 != X3
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ~ m1_group_2(X4,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f414]) ).
fof(f414,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ r3_lattices(k11_group_4(X0),X3,X4)
| X2 != X4
| X1 != X3
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ~ 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,[],[f274]) ).
fof(f274,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ( r3_lattices(k11_group_4(X0),X3,X4)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) )
& ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ r3_lattices(k11_group_4(X0),X3,X4) ) )
| X2 != X4
| X1 != X3
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
| ~ 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(nnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( r3_lattices(k11_group_4(X0),X3,X4)
<=> r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) )
| X2 != X4
| X1 != X3
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
| ~ 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,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( r3_lattices(k11_group_4(X0),X3,X4)
<=> r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) )
| X2 != X4
| X1 != X3
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
| ~ 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,[],[f86]) ).
fof(f86,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)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
=> ( ( X2 = X4
& X1 = X3 )
=> ( r3_lattices(k11_group_4(X0),X3,X4)
<=> r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',t30_latsubgr) ).
fof(f3803,plain,
( ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| spl29_2 ),
inference(subsumption_resolution,[],[f3802,f427]) ).
fof(f3802,plain,
( ~ m1_group_2(sK3,sK0)
| ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| spl29_2 ),
inference(subsumption_resolution,[],[f3800,f426]) ).
fof(f3800,plain,
( ~ m1_group_2(sK4,sK0)
| ~ m1_group_2(sK3,sK0)
| ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| spl29_2 ),
inference(resolution,[],[f3799,f724]) ).
fof(f724,plain,
! [X0,X1] :
( m1_group_2(X0,X1)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(subsumption_resolution,[],[f723,f276]) ).
fof(f723,plain,
! [X0,X1] :
( ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| m1_group_2(X0,X1)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f722,f277]) ).
fof(f722,plain,
! [X0,X1] :
( ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| m1_group_2(X0,X1)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f721,f279]) ).
fof(f721,plain,
! [X0,X1] :
( ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ l1_group_1(sK0)
| m1_group_2(X0,X1)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f420,f278]) ).
fof(f420,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| m1_group_2(X1,X2)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,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,[],[f212]) ).
fof(f212,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,[],[f90]) ).
fof(f90,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.MU9wlKNW1h/Vampire---4.8_6325',t66_group_2) ).
fof(f3799,plain,
( ~ m1_group_2(sK3,sK4)
| spl29_2 ),
inference(subsumption_resolution,[],[f3798,f276]) ).
fof(f3798,plain,
( ~ m1_group_2(sK3,sK4)
| v3_struct_0(sK0)
| spl29_2 ),
inference(subsumption_resolution,[],[f3797,f277]) ).
fof(f3797,plain,
( ~ m1_group_2(sK3,sK4)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl29_2 ),
inference(subsumption_resolution,[],[f3796,f278]) ).
fof(f3796,plain,
( ~ m1_group_2(sK3,sK4)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl29_2 ),
inference(subsumption_resolution,[],[f3795,f279]) ).
fof(f3795,plain,
( ~ m1_group_2(sK3,sK4)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl29_2 ),
inference(subsumption_resolution,[],[f3794,f426]) ).
fof(f3794,plain,
( ~ m1_group_2(sK3,sK4)
| ~ m1_group_2(sK4,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl29_2 ),
inference(resolution,[],[f452,f395]) ).
fof(f395,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,[],[f268]) ).
fof(f452,plain,
( ~ m1_group_6(sK3,sK0,sK4)
| spl29_2 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f2120,plain,
( ~ spl29_19
| spl29_95 ),
inference(avatar_contradiction_clause,[],[f2119]) ).
fof(f2119,plain,
( $false
| ~ spl29_19
| spl29_95 ),
inference(subsumption_resolution,[],[f2118,f630]) ).
fof(f2118,plain,
( ~ l2_lattices(sF27)
| spl29_95 ),
inference(resolution,[],[f2113,f348]) ).
fof(f348,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f2113,plain,
( ~ v1_funct_1(u2_lattices(sF27))
| spl29_95 ),
inference(avatar_component_clause,[],[f2111]) ).
fof(f1623,plain,
~ spl29_77,
inference(avatar_contradiction_clause,[],[f1597]) ).
fof(f1597,plain,
( $false
| ~ spl29_77 ),
inference(resolution,[],[f1590,f443]) ).
fof(f1590,plain,
( ! [X1] : ~ m1_subset_1(X1,sF28)
| ~ spl29_77 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1589,plain,
( spl29_77
<=> ! [X1] : ~ m1_subset_1(X1,sF28) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_77])]) ).
fof(f1594,plain,
( spl29_77
| spl29_78
| spl29_3 ),
inference(avatar_split_clause,[],[f1587,f463,f1592,f1589]) ).
fof(f1587,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28)
| k2_lattices(sF27,X0,X0) = X0 )
| spl29_3 ),
inference(duplicate_literal_removal,[],[f1586]) ).
fof(f1586,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,sF28)
| ~ m1_subset_1(X0,sF28)
| k2_lattices(sF27,X0,X0) = X0 )
| spl29_3 ),
inference(forward_demodulation,[],[f1585,f441]) ).
fof(f1585,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF28)
| ~ m1_subset_1(X0,sF28)
| k2_lattices(sF27,X0,X0) = X0
| ~ m1_subset_1(X0,u1_struct_0(sF27)) )
| spl29_3 ),
inference(forward_demodulation,[],[f1584,f441]) ).
fof(f1584,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| k2_lattices(sF27,X0,X0) = X0
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27)) )
| spl29_3 ),
inference(subsumption_resolution,[],[f1583,f464]) ).
fof(f1583,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| k2_lattices(sF27,X0,X0) = X0
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| v3_struct_0(sF27) )
| spl29_3 ),
inference(subsumption_resolution,[],[f1582,f589]) ).
fof(f1582,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| k2_lattices(sF27,X0,X0) = X0
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ v6_lattices(sF27)
| v3_struct_0(sF27) )
| spl29_3 ),
inference(subsumption_resolution,[],[f1581,f594]) ).
fof(f1581,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| k2_lattices(sF27,X0,X0) = X0
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ v8_lattices(sF27)
| ~ v6_lattices(sF27)
| v3_struct_0(sF27) )
| spl29_3 ),
inference(subsumption_resolution,[],[f1580,f599]) ).
fof(f1580,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| k2_lattices(sF27,X0,X0) = X0
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ v9_lattices(sF27)
| ~ v8_lattices(sF27)
| ~ v6_lattices(sF27)
| v3_struct_0(sF27) )
| spl29_3 ),
inference(subsumption_resolution,[],[f1578,f533]) ).
fof(f1578,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| k2_lattices(sF27,X0,X0) = X0
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ l3_lattices(sF27)
| ~ v9_lattices(sF27)
| ~ v8_lattices(sF27)
| ~ v6_lattices(sF27)
| v3_struct_0(sF27) )
| spl29_3 ),
inference(duplicate_literal_removal,[],[f1577]) ).
fof(f1577,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| k2_lattices(sF27,X0,X0) = X0
| ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ l3_lattices(sF27)
| ~ v9_lattices(sF27)
| ~ v8_lattices(sF27)
| ~ v6_lattices(sF27)
| v3_struct_0(sF27) )
| spl29_3 ),
inference(resolution,[],[f1219,f404]) ).
fof(f404,plain,
! [X2,X0,X1] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> r3_lattices(X0,X1,X1) ),
file('/export/starexec/sandbox/tmp/tmp.MU9wlKNW1h/Vampire---4.8_6325',reflexivity_r3_lattices) ).
fof(f1219,plain,
( ! [X0,X1] :
( ~ r3_lattices(sF27,X1,X0)
| ~ m1_subset_1(X0,sF28)
| k2_lattices(sF27,X1,X0) = X1
| ~ m1_subset_1(X1,sF28) )
| spl29_3 ),
inference(forward_demodulation,[],[f1218,f441]) ).
fof(f1218,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF28)
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| k2_lattices(sF27,X1,X0) = X1
| ~ r3_lattices(sF27,X1,X0) )
| spl29_3 ),
inference(forward_demodulation,[],[f1217,f441]) ).
fof(f1217,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| k2_lattices(sF27,X1,X0) = X1
| ~ r3_lattices(sF27,X1,X0) )
| spl29_3 ),
inference(subsumption_resolution,[],[f1216,f589]) ).
fof(f1216,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| k2_lattices(sF27,X1,X0) = X1
| ~ r3_lattices(sF27,X1,X0)
| ~ v6_lattices(sF27) )
| spl29_3 ),
inference(subsumption_resolution,[],[f1215,f464]) ).
fof(f1215,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| k2_lattices(sF27,X1,X0) = X1
| v3_struct_0(sF27)
| ~ r3_lattices(sF27,X1,X0)
| ~ v6_lattices(sF27) ),
inference(subsumption_resolution,[],[f1214,f594]) ).
fof(f1214,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| k2_lattices(sF27,X1,X0) = X1
| ~ v8_lattices(sF27)
| v3_struct_0(sF27)
| ~ r3_lattices(sF27,X1,X0)
| ~ v6_lattices(sF27) ),
inference(subsumption_resolution,[],[f1209,f533]) ).
fof(f1209,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF27))
| ~ m1_subset_1(X1,u1_struct_0(sF27))
| ~ l3_lattices(sF27)
| k2_lattices(sF27,X1,X0) = X1
| ~ v8_lattices(sF27)
| v3_struct_0(sF27)
| ~ r3_lattices(sF27,X1,X0)
| ~ v6_lattices(sF27) ),
inference(resolution,[],[f806,f599]) ).
fof(f806,plain,
! [X2,X0,X1] :
( ~ v9_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| k2_lattices(X0,X1,X2) = X1
| ~ v8_lattices(X0)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ v6_lattices(X0) ),
inference(duplicate_literal_removal,[],[f805]) ).
fof(f805,plain,
! [X2,X0,X1] :
( k2_lattices(X0,X1,X2) = X1
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f409,f400]) ).
fof(f400,plain,
! [X2,X0,X1] :
( r1_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f409,plain,
! [X2,X0,X1] :
( ~ r1_lattices(X0,X1,X2)
| k2_lattices(X0,X1,X2) = X1
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f1177,plain,
( ~ spl29_17
| spl29_53 ),
inference(avatar_contradiction_clause,[],[f1176]) ).
fof(f1176,plain,
( $false
| ~ spl29_17
| spl29_53 ),
inference(subsumption_resolution,[],[f1175,f615]) ).
fof(f1175,plain,
( ~ l1_lattices(sF27)
| spl29_53 ),
inference(resolution,[],[f1163,f345]) ).
fof(f345,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f1163,plain,
( ~ v1_funct_1(u1_lattices(sF27))
| spl29_53 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f639,plain,
spl29_19,
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f638,plain,
( $false
| spl29_19 ),
inference(subsumption_resolution,[],[f637,f533]) ).
fof(f637,plain,
( ~ l3_lattices(sF27)
| spl29_19 ),
inference(resolution,[],[f631,f336]) ).
fof(f336,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f631,plain,
( ~ l2_lattices(sF27)
| spl29_19 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f636,plain,
( ~ spl29_19
| spl29_20 ),
inference(avatar_split_clause,[],[f627,f633,f629]) ).
fof(f627,plain,
( v1_funct_2(u2_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ l2_lattices(sF27) ),
inference(superposition,[],[f349,f441]) ).
fof(f349,plain,
! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f624,plain,
spl29_17,
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f623,plain,
( $false
| spl29_17 ),
inference(subsumption_resolution,[],[f622,f533]) ).
fof(f622,plain,
( ~ l3_lattices(sF27)
| spl29_17 ),
inference(resolution,[],[f616,f335]) ).
fof(f616,plain,
( ~ l1_lattices(sF27)
| spl29_17 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f621,plain,
( ~ spl29_17
| spl29_18 ),
inference(avatar_split_clause,[],[f612,f618,f614]) ).
fof(f612,plain,
( v1_funct_2(u1_lattices(sF27),k2_zfmisc_1(sF28,sF28),sF28)
| ~ l1_lattices(sF27) ),
inference(superposition,[],[f346,f441]) ).
fof(f346,plain,
! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f517,plain,
~ spl29_3,
inference(avatar_split_clause,[],[f516,f463]) ).
fof(f516,plain,
~ v3_struct_0(sF27),
inference(subsumption_resolution,[],[f515,f276]) ).
fof(f515,plain,
( ~ v3_struct_0(sF27)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f514,f277]) ).
fof(f514,plain,
( ~ v3_struct_0(sF27)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f513,f278]) ).
fof(f513,plain,
( ~ v3_struct_0(sF27)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f512,f279]) ).
fof(f512,plain,
( ~ v3_struct_0(sF27)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(superposition,[],[f319,f438]) ).
fof(f319,plain,
! [X0] :
( ~ v3_struct_0(k11_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f454,plain,
( spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f440,f450,f446]) ).
fof(f440,plain,
( m1_group_6(sK3,sK0,sK4)
| r3_lattices(sF27,sK3,sK4) ),
inference(definition_folding,[],[f425,f438]) ).
fof(f425,plain,
( m1_group_6(sK3,sK0,sK4)
| r3_lattices(k11_group_4(sK0),sK3,sK4) ),
inference(definition_unfolding,[],[f286,f284,f285]) ).
fof(f286,plain,
( m1_group_6(sK1,sK0,sK2)
| r3_lattices(k11_group_4(sK0),sK3,sK4) ),
inference(cnf_transformation,[],[f224]) ).
fof(f453,plain,
( ~ spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f439,f450,f446]) ).
fof(f439,plain,
( ~ m1_group_6(sK3,sK0,sK4)
| ~ r3_lattices(sF27,sK3,sK4) ),
inference(definition_folding,[],[f424,f438]) ).
fof(f424,plain,
( ~ m1_group_6(sK3,sK0,sK4)
| ~ r3_lattices(k11_group_4(sK0),sK3,sK4) ),
inference(definition_unfolding,[],[f287,f284,f285]) ).
fof(f287,plain,
( ~ m1_group_6(sK1,sK0,sK2)
| ~ r3_lattices(k11_group_4(sK0),sK3,sK4) ),
inference(cnf_transformation,[],[f224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GRP648+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.10 % 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
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri May 3 20:49:22 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.29 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.29 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.MU9wlKNW1h/Vampire---4.8_6325
% 0.47/0.64 % (6584)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)
% 0.47/0.64 % (6586)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)
% 0.47/0.64 % (6589)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)
% 0.47/0.64 % (6583)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)
% 0.47/0.64 % (6587)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)
% 0.47/0.64 % (6588)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)
% 0.47/0.64 % (6585)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.47/0.64 % (6590)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)
% 0.47/0.64 % (6588)Refutation not found, incomplete strategy% (6588)------------------------------
% 0.47/0.64 % (6588)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.64 % (6588)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64
% 0.47/0.64 % (6588)Memory used [KB]: 1136
% 0.47/0.64 % (6588)Time elapsed: 0.005 s
% 0.47/0.64 % (6588)Instructions burned: 5 (million)
% 0.47/0.64 % (6588)------------------------------
% 0.47/0.64 % (6588)------------------------------
% 0.47/0.64 % (6583)Refutation not found, incomplete strategy% (6583)------------------------------
% 0.47/0.64 % (6583)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.64 % (6583)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64
% 0.47/0.64 % (6583)Memory used [KB]: 1162
% 0.47/0.64 % (6583)Time elapsed: 0.006 s
% 0.47/0.64 % (6583)Instructions burned: 8 (million)
% 0.47/0.65 % (6583)------------------------------
% 0.47/0.65 % (6583)------------------------------
% 0.47/0.65 % (6591)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)
% 0.47/0.65 % (6586)Instruction limit reached!
% 0.47/0.65 % (6586)------------------------------
% 0.47/0.65 % (6586)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.65 % (6586)Termination reason: Unknown
% 0.47/0.65 % (6586)Termination phase: Saturation
% 0.47/0.65
% 0.47/0.65 % (6586)Memory used [KB]: 1425
% 0.47/0.65 % (6586)Time elapsed: 0.012 s
% 0.47/0.65 % (6586)Instructions burned: 36 (million)
% 0.47/0.65 % (6586)------------------------------
% 0.47/0.65 % (6586)------------------------------
% 0.47/0.65 % (6592)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)
% 0.47/0.65 % (6593)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)
% 0.47/0.66 % (6590)Instruction limit reached!
% 0.47/0.66 % (6590)------------------------------
% 0.47/0.66 % (6590)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.66 % (6590)Termination reason: Unknown
% 0.47/0.66 % (6590)Termination phase: Saturation
% 0.47/0.66
% 0.47/0.66 % (6590)Memory used [KB]: 1328
% 0.47/0.66 % (6590)Time elapsed: 0.016 s
% 0.47/0.66 % (6590)Instructions burned: 57 (million)
% 0.47/0.66 % (6590)------------------------------
% 0.47/0.66 % (6590)------------------------------
% 0.47/0.66 % (6584)Instruction limit reached!
% 0.47/0.66 % (6584)------------------------------
% 0.47/0.66 % (6584)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.66 % (6584)Termination reason: Unknown
% 0.47/0.66 % (6584)Termination phase: Saturation
% 0.47/0.66
% 0.47/0.66 % (6584)Memory used [KB]: 1630
% 0.47/0.66 % (6584)Time elapsed: 0.018 s
% 0.47/0.66 % (6584)Instructions burned: 53 (million)
% 0.47/0.66 % (6584)------------------------------
% 0.47/0.66 % (6584)------------------------------
% 0.47/0.66 % (6587)Instruction limit reached!
% 0.47/0.66 % (6587)------------------------------
% 0.47/0.66 % (6587)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.66 % (6587)Termination reason: Unknown
% 0.47/0.66 % (6587)Termination phase: Saturation
% 0.47/0.66
% 0.47/0.66 % (6587)Memory used [KB]: 1710
% 0.47/0.66 % (6587)Time elapsed: 0.020 s
% 0.47/0.66 % (6594)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.47/0.66 % (6587)Instructions burned: 35 (million)
% 0.47/0.66 % (6587)------------------------------
% 0.47/0.66 % (6587)------------------------------
% 0.47/0.66 % (6595)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.56/0.66 % (6596)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.56/0.66 % (6589)Instruction limit reached!
% 0.56/0.66 % (6589)------------------------------
% 0.56/0.66 % (6589)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.66 % (6589)Termination reason: Unknown
% 0.56/0.66 % (6589)Termination phase: Saturation
% 0.56/0.66
% 0.56/0.66 % (6589)Memory used [KB]: 2536
% 0.56/0.66 % (6589)Time elapsed: 0.026 s
% 0.56/0.66 % (6589)Instructions burned: 83 (million)
% 0.56/0.66 % (6589)------------------------------
% 0.56/0.66 % (6589)------------------------------
% 0.56/0.66 % (6595)Refutation not found, incomplete strategy% (6595)------------------------------
% 0.56/0.66 % (6595)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.66 % (6595)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.66
% 0.56/0.66 % (6595)Memory used [KB]: 1349
% 0.56/0.66 % (6595)Time elapsed: 0.007 s
% 0.56/0.66 % (6595)Instructions burned: 20 (million)
% 0.56/0.66 % (6595)------------------------------
% 0.56/0.66 % (6595)------------------------------
% 0.56/0.67 % (6597)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.56/0.67 % (6598)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.56/0.67 % (6591)Instruction limit reached!
% 0.56/0.67 % (6591)------------------------------
% 0.56/0.67 % (6591)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.67 % (6591)Termination reason: Unknown
% 0.56/0.67 % (6591)Termination phase: Saturation
% 0.56/0.67
% 0.56/0.67 % (6591)Memory used [KB]: 2237
% 0.56/0.67 % (6591)Time elapsed: 0.026 s
% 0.56/0.67 % (6591)Instructions burned: 56 (million)
% 0.56/0.67 % (6591)------------------------------
% 0.56/0.67 % (6591)------------------------------
% 0.56/0.67 % (6592)Instruction limit reached!
% 0.56/0.67 % (6592)------------------------------
% 0.56/0.67 % (6592)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.67 % (6592)Termination reason: Unknown
% 0.56/0.67 % (6592)Termination phase: Saturation
% 0.56/0.67
% 0.56/0.67 % (6592)Memory used [KB]: 1716
% 0.56/0.67 % (6592)Time elapsed: 0.024 s
% 0.56/0.67 % (6592)Instructions burned: 51 (million)
% 0.56/0.67 % (6592)------------------------------
% 0.56/0.67 % (6592)------------------------------
% 0.56/0.68 % (6599)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.56/0.68 % (6600)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.56/0.68 % (6594)Instruction limit reached!
% 0.56/0.68 % (6594)------------------------------
% 0.56/0.68 % (6594)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.68 % (6594)Termination reason: Unknown
% 0.56/0.68 % (6594)Termination phase: Saturation
% 0.56/0.68
% 0.56/0.68 % (6594)Memory used [KB]: 1768
% 0.56/0.68 % (6594)Time elapsed: 0.020 s
% 0.56/0.68 % (6594)Instructions burned: 53 (million)
% 0.56/0.68 % (6594)------------------------------
% 0.56/0.68 % (6594)------------------------------
% 0.56/0.68 % (6601)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.56/0.68 % (6596)Instruction limit reached!
% 0.56/0.68 % (6596)------------------------------
% 0.56/0.68 % (6596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.68 % (6596)Termination reason: Unknown
% 0.56/0.68 % (6596)Termination phase: Saturation
% 0.56/0.68
% 0.56/0.68 % (6596)Memory used [KB]: 1685
% 0.56/0.68 % (6596)Time elapsed: 0.021 s
% 0.56/0.68 % (6596)Instructions burned: 42 (million)
% 0.56/0.68 % (6596)------------------------------
% 0.56/0.68 % (6596)------------------------------
% 0.56/0.68 % (6602)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.56/0.70 % (6602)Instruction limit reached!
% 0.56/0.70 % (6602)------------------------------
% 0.56/0.70 % (6602)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.70 % (6602)Termination reason: Unknown
% 0.56/0.70 % (6602)Termination phase: Saturation
% 0.56/0.70
% 0.56/0.70 % (6602)Memory used [KB]: 1684
% 0.56/0.70 % (6602)Time elapsed: 0.016 s
% 0.56/0.70 % (6602)Instructions burned: 32 (million)
% 0.56/0.70 % (6602)------------------------------
% 0.56/0.70 % (6602)------------------------------
% 0.56/0.70 % (6601)Instruction limit reached!
% 0.56/0.70 % (6601)------------------------------
% 0.56/0.70 % (6601)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.70 % (6601)Termination reason: Unknown
% 0.56/0.70 % (6601)Termination phase: Saturation
% 0.56/0.70
% 0.56/0.70 % (6601)Memory used [KB]: 2481
% 0.56/0.70 % (6601)Time elapsed: 0.021 s
% 0.56/0.70 % (6601)Instructions burned: 64 (million)
% 0.56/0.70 % (6601)------------------------------
% 0.56/0.70 % (6601)------------------------------
% 0.56/0.70 % (6603)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.56/0.70 % (6604)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.70 % (6585)Instruction limit reached!
% 0.56/0.70 % (6585)------------------------------
% 0.56/0.70 % (6585)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.70 % (6585)Termination reason: Unknown
% 0.56/0.70 % (6585)Termination phase: Saturation
% 0.56/0.70
% 0.56/0.70 % (6585)Memory used [KB]: 1812
% 0.56/0.70 % (6585)Time elapsed: 0.064 s
% 0.56/0.70 % (6585)Instructions burned: 78 (million)
% 0.56/0.70 % (6585)------------------------------
% 0.56/0.70 % (6585)------------------------------
% 0.56/0.71 % (6598)Instruction limit reached!
% 0.56/0.71 % (6598)------------------------------
% 0.56/0.71 % (6598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.71 % (6598)Termination reason: Unknown
% 0.56/0.71 % (6598)Termination phase: Saturation
% 0.56/0.71 % (6605)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.56/0.71
% 0.56/0.71 % (6598)Memory used [KB]: 2369
% 0.56/0.71 % (6598)Time elapsed: 0.041 s
% 0.56/0.71 % (6598)Instructions burned: 117 (million)
% 0.56/0.71 % (6598)------------------------------
% 0.56/0.71 % (6598)------------------------------
% 0.56/0.71 % (6606)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.56/0.71 % (6600)Instruction limit reached!
% 0.56/0.71 % (6600)------------------------------
% 0.56/0.71 % (6600)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.71 % (6600)Termination reason: Unknown
% 0.56/0.71 % (6600)Termination phase: Saturation
% 0.56/0.71
% 0.56/0.71 % (6600)Memory used [KB]: 2060
% 0.56/0.71 % (6600)Time elapsed: 0.038 s
% 0.56/0.71 % (6600)Instructions burned: 95 (million)
% 0.56/0.71 % (6600)------------------------------
% 0.56/0.71 % (6600)------------------------------
% 0.56/0.71 % (6593)Instruction limit reached!
% 0.56/0.71 % (6593)------------------------------
% 0.56/0.71 % (6593)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.71 % (6593)Termination reason: Unknown
% 0.56/0.71 % (6593)Termination phase: Saturation
% 0.56/0.71
% 0.56/0.71 % (6593)Memory used [KB]: 3060
% 0.56/0.71 % (6593)Time elapsed: 0.063 s
% 0.56/0.71 % (6593)Instructions burned: 210 (million)
% 0.56/0.71 % (6593)------------------------------
% 0.56/0.71 % (6593)------------------------------
% 0.56/0.72 % (6607)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.56/0.72 % (6608)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.56/0.72 % (6604)Instruction limit reached!
% 0.56/0.72 % (6604)------------------------------
% 0.56/0.72 % (6604)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.72 % (6604)Termination reason: Unknown
% 0.56/0.72 % (6604)Termination phase: Saturation
% 0.56/0.72
% 0.56/0.72 % (6604)Memory used [KB]: 2129
% 0.56/0.72 % (6604)Time elapsed: 0.018 s
% 0.56/0.72 % (6604)Instructions burned: 55 (million)
% 0.56/0.72 % (6604)------------------------------
% 0.56/0.72 % (6604)------------------------------
% 0.56/0.72 % (6609)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.56/0.73 % (6599)Instruction limit reached!
% 0.56/0.73 % (6599)------------------------------
% 0.56/0.73 % (6599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (6599)Termination reason: Unknown
% 0.56/0.73 % (6599)Termination phase: Saturation
% 0.56/0.73
% 0.56/0.73 % (6599)Memory used [KB]: 2314
% 0.56/0.73 % (6599)Time elapsed: 0.052 s
% 0.56/0.73 % (6599)Instructions burned: 143 (million)
% 0.56/0.73 % (6599)------------------------------
% 0.56/0.73 % (6599)------------------------------
% 1.01/0.73 % (6610)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 1.01/0.73 % (6608)Instruction limit reached!
% 1.01/0.73 % (6608)------------------------------
% 1.01/0.73 % (6608)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.73 % (6608)Termination reason: Unknown
% 1.01/0.73 % (6608)Termination phase: Saturation
% 1.01/0.73
% 1.01/0.73 % (6608)Memory used [KB]: 1411
% 1.01/0.73 % (6608)Time elapsed: 0.013 s
% 1.01/0.73 % (6608)Instructions burned: 36 (million)
% 1.01/0.73 % (6608)------------------------------
% 1.01/0.73 % (6608)------------------------------
% 1.01/0.73 % (6605)Instruction limit reached!
% 1.01/0.73 % (6605)------------------------------
% 1.01/0.73 % (6605)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.73 % (6605)Termination reason: Unknown
% 1.01/0.73 % (6605)Termination phase: Saturation
% 1.01/0.73
% 1.01/0.73 % (6605)Memory used [KB]: 1519
% 1.01/0.73 % (6605)Time elapsed: 0.025 s
% 1.01/0.73 % (6605)Instructions burned: 54 (million)
% 1.01/0.73 % (6605)------------------------------
% 1.01/0.73 % (6605)------------------------------
% 1.01/0.73 % (6611)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 1.01/0.73 % (6612)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 1.01/0.73 % (6606)Instruction limit reached!
% 1.01/0.73 % (6606)------------------------------
% 1.01/0.73 % (6606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.73 % (6606)Termination reason: Unknown
% 1.01/0.73 % (6606)Termination phase: Saturation
% 1.01/0.73
% 1.01/0.73 % (6606)Memory used [KB]: 2159
% 1.01/0.73 % (6606)Time elapsed: 0.024 s
% 1.01/0.73 % (6606)Instructions burned: 46 (million)
% 1.01/0.73 % (6606)------------------------------
% 1.01/0.73 % (6606)------------------------------
% 1.01/0.73 % (6611)Refutation not found, incomplete strategy% (6611)------------------------------
% 1.01/0.73 % (6611)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.73 % (6611)Termination reason: Refutation not found, incomplete strategy
% 1.01/0.73
% 1.01/0.73 % (6611)Memory used [KB]: 1231
% 1.01/0.73 % (6611)Time elapsed: 0.004 s
% 1.01/0.73 % (6611)Instructions burned: 10 (million)
% 1.01/0.73 % (6611)------------------------------
% 1.01/0.73 % (6611)------------------------------
% 1.01/0.74 % (6613)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 1.01/0.74 % (6614)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 1.01/0.74 % (6597)Instruction limit reached!
% 1.01/0.74 % (6597)------------------------------
% 1.01/0.74 % (6597)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.74 % (6597)Termination reason: Unknown
% 1.01/0.74 % (6597)Termination phase: Saturation
% 1.01/0.74
% 1.01/0.74 % (6597)Memory used [KB]: 2137
% 1.01/0.74 % (6597)Time elapsed: 0.073 s
% 1.01/0.74 % (6597)Instructions burned: 243 (million)
% 1.01/0.74 % (6597)------------------------------
% 1.01/0.74 % (6597)------------------------------
% 1.01/0.74 % (6615)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 1.01/0.74 % (6609)Instruction limit reached!
% 1.01/0.74 % (6609)------------------------------
% 1.01/0.74 % (6609)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.74 % (6609)Termination reason: Unknown
% 1.01/0.74 % (6609)Termination phase: Saturation
% 1.01/0.74
% 1.01/0.74 % (6609)Memory used [KB]: 2396
% 1.01/0.74 % (6609)Time elapsed: 0.024 s
% 1.01/0.74 % (6609)Instructions burned: 87 (million)
% 1.01/0.74 % (6609)------------------------------
% 1.01/0.74 % (6609)------------------------------
% 1.01/0.75 % (6615)Refutation not found, incomplete strategy% (6615)------------------------------
% 1.01/0.75 % (6615)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.75 % (6615)Termination reason: Refutation not found, incomplete strategy
% 1.01/0.75
% 1.01/0.75 % (6615)Memory used [KB]: 1192
% 1.01/0.75 % (6615)Time elapsed: 0.004 s
% 1.01/0.75 % (6615)Instructions burned: 10 (million)
% 1.01/0.75 % (6615)------------------------------
% 1.01/0.75 % (6615)------------------------------
% 1.01/0.75 % (6616)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 1.01/0.75 % (6617)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 1.01/0.75 % (6607)Instruction limit reached!
% 1.01/0.75 % (6607)------------------------------
% 1.01/0.75 % (6607)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.75 % (6607)Termination reason: Unknown
% 1.01/0.75 % (6607)Termination phase: Saturation
% 1.01/0.75
% 1.01/0.75 % (6607)Memory used [KB]: 3363
% 1.01/0.75 % (6607)Time elapsed: 0.038 s
% 1.01/0.75 % (6607)Instructions burned: 102 (million)
% 1.01/0.75 % (6607)------------------------------
% 1.01/0.75 % (6607)------------------------------
% 1.01/0.75 % (6618)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2995ds/55Mi)
% 1.01/0.76 % (6612)Instruction limit reached!
% 1.01/0.76 % (6612)------------------------------
% 1.01/0.76 % (6612)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.76 % (6612)Termination reason: Unknown
% 1.01/0.76 % (6612)Termination phase: Saturation
% 1.01/0.76
% 1.01/0.76 % (6612)Memory used [KB]: 1811
% 1.01/0.76 % (6612)Time elapsed: 0.045 s
% 1.01/0.76 % (6612)Instructions burned: 69 (million)
% 1.01/0.76 % (6612)------------------------------
% 1.01/0.76 % (6612)------------------------------
% 1.01/0.76 % (6619)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2995ds/47Mi)
% 1.25/0.76 % (6613)Instruction limit reached!
% 1.25/0.76 % (6613)------------------------------
% 1.25/0.76 % (6613)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.76 % (6613)Termination reason: Unknown
% 1.25/0.76 % (6613)Termination phase: Saturation
% 1.25/0.76
% 1.25/0.76 % (6613)Memory used [KB]: 1786
% 1.25/0.76 % (6613)Time elapsed: 0.048 s
% 1.25/0.76 % (6613)Instructions burned: 41 (million)
% 1.25/0.76 % (6613)------------------------------
% 1.25/0.76 % (6613)------------------------------
% 1.25/0.76 % (6617)Instruction limit reached!
% 1.25/0.76 % (6617)------------------------------
% 1.25/0.76 % (6617)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.76 % (6617)Termination reason: Unknown
% 1.25/0.76 % (6617)Termination phase: Saturation
% 1.25/0.76
% 1.25/0.76 % (6617)Memory used [KB]: 2037
% 1.25/0.76 % (6617)Time elapsed: 0.038 s
% 1.25/0.76 % (6617)Instructions burned: 38 (million)
% 1.25/0.76 % (6617)------------------------------
% 1.25/0.76 % (6617)------------------------------
% 1.25/0.76 % (6610)Instruction limit reached!
% 1.25/0.76 % (6610)------------------------------
% 1.25/0.76 % (6610)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.76 % (6610)Termination reason: Unknown
% 1.25/0.76 % (6610)Termination phase: Saturation
% 1.25/0.76
% 1.25/0.76 % (6610)Memory used [KB]: 2442
% 1.25/0.76 % (6610)Time elapsed: 0.036 s
% 1.25/0.76 % (6610)Instructions burned: 110 (million)
% 1.25/0.76 % (6610)------------------------------
% 1.25/0.76 % (6610)------------------------------
% 1.25/0.77 % (6620)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 1.25/0.77 % (6622)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2995ds/54Mi)
% 1.25/0.77 % (6621)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2995ds/132Mi)
% 1.25/0.77 % (6616)Instruction limit reached!
% 1.25/0.77 % (6616)------------------------------
% 1.25/0.77 % (6616)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.77 % (6616)Termination reason: Unknown
% 1.25/0.77 % (6616)Termination phase: Saturation
% 1.25/0.77
% 1.25/0.77 % (6616)Memory used [KB]: 1999
% 1.25/0.77 % (6616)Time elapsed: 0.049 s
% 1.25/0.77 % (6616)Instructions burned: 81 (million)
% 1.25/0.77 % (6616)------------------------------
% 1.25/0.77 % (6616)------------------------------
% 1.25/0.77 % (6618)Instruction limit reached!
% 1.25/0.77 % (6618)------------------------------
% 1.25/0.77 % (6618)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.77 % (6618)Termination reason: Unknown
% 1.25/0.77 % (6618)Termination phase: Saturation
% 1.25/0.77
% 1.25/0.77 % (6618)Memory used [KB]: 1746
% 1.25/0.77 % (6618)Time elapsed: 0.020 s
% 1.25/0.77 % (6618)Instructions burned: 57 (million)
% 1.25/0.77 % (6618)------------------------------
% 1.25/0.77 % (6618)------------------------------
% 1.25/0.77 % (6623)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2995ds/82Mi)
% 1.25/0.78 % (6619)Instruction limit reached!
% 1.25/0.78 % (6619)------------------------------
% 1.25/0.78 % (6619)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.78 % (6619)Termination reason: Unknown
% 1.25/0.78 % (6619)Termination phase: Saturation
% 1.25/0.78
% 1.25/0.78 % (6619)Memory used [KB]: 2256
% 1.25/0.78 % (6624)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2995ds/119Mi)
% 1.25/0.78 % (6619)Time elapsed: 0.020 s
% 1.25/0.78 % (6619)Instructions burned: 48 (million)
% 1.25/0.78 % (6619)------------------------------
% 1.25/0.78 % (6619)------------------------------
% 1.25/0.78 % (6622)Instruction limit reached!
% 1.25/0.78 % (6622)------------------------------
% 1.25/0.78 % (6622)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.78 % (6622)Termination reason: Unknown
% 1.25/0.78 % (6622)Termination phase: Saturation
% 1.25/0.78
% 1.25/0.78 % (6622)Memory used [KB]: 1422
% 1.25/0.78 % (6622)Time elapsed: 0.016 s
% 1.25/0.78 % (6622)Instructions burned: 55 (million)
% 1.25/0.78 % (6622)------------------------------
% 1.25/0.78 % (6622)------------------------------
% 1.25/0.78 % (6633)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2995ds/177Mi)
% 1.25/0.78 % (6620)Instruction limit reached!
% 1.25/0.78 % (6620)------------------------------
% 1.25/0.78 % (6620)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.78 % (6620)Termination reason: Unknown
% 1.25/0.78 % (6620)Termination phase: Saturation
% 1.25/0.78
% 1.25/0.78 % (6620)Memory used [KB]: 1598
% 1.25/0.78 % (6620)Time elapsed: 0.019 s
% 1.25/0.78 % (6620)Instructions burned: 32 (million)
% 1.25/0.78 % (6620)------------------------------
% 1.25/0.78 % (6620)------------------------------
% 1.25/0.78 % (6634)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2995ds/117Mi)
% 1.25/0.78 % (6633)Refutation not found, incomplete strategy% (6633)------------------------------
% 1.25/0.78 % (6633)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.78 % (6633)Termination reason: Refutation not found, incomplete strategy
% 1.25/0.78
% 1.25/0.78 % (6633)Memory used [KB]: 1242
% 1.25/0.78 % (6633)Time elapsed: 0.006 s
% 1.25/0.78 % (6633)Instructions burned: 11 (million)
% 1.25/0.78 % (6633)------------------------------
% 1.25/0.78 % (6633)------------------------------
% 1.25/0.78 % (6636)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2995ds/49Mi)
% 1.25/0.79 % (6637)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on Vampire---4 for (2995ds/51Mi)
% 1.25/0.80 % (6623)Instruction limit reached!
% 1.25/0.80 % (6623)------------------------------
% 1.25/0.80 % (6623)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.80 % (6623)Termination reason: Unknown
% 1.25/0.80 % (6623)Termination phase: Saturation
% 1.25/0.80
% 1.25/0.80 % (6623)Memory used [KB]: 2609
% 1.25/0.80 % (6623)Time elapsed: 0.028 s
% 1.25/0.80 % (6623)Instructions burned: 82 (million)
% 1.25/0.80 % (6623)------------------------------
% 1.25/0.80 % (6623)------------------------------
% 1.25/0.80 % (6636)Instruction limit reached!
% 1.25/0.80 % (6636)------------------------------
% 1.25/0.80 % (6636)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.80 % (6636)Termination reason: Unknown
% 1.25/0.80 % (6636)Termination phase: Saturation
% 1.25/0.80
% 1.25/0.80 % (6636)Memory used [KB]: 1656
% 1.25/0.80 % (6636)Time elapsed: 0.018 s
% 1.25/0.80 % (6636)Instructions burned: 49 (million)
% 1.25/0.80 % (6636)------------------------------
% 1.25/0.80 % (6636)------------------------------
% 1.25/0.80 % (6645)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on Vampire---4 for (2994ds/149Mi)
% 1.25/0.80 % (6646)lrs+11_10:1_to=lpo:drc=off:sil=4000:sp=const_min:fd=preordered:rp=on:st=3.0:s2a=on:i=56:s2at=2.0:ss=axioms:er=known:sup=off:sd=1_0 on Vampire---4 for (2994ds/56Mi)
% 1.25/0.80 % (6637)Instruction limit reached!
% 1.25/0.80 % (6637)------------------------------
% 1.25/0.80 % (6637)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.80 % (6637)Termination reason: Unknown
% 1.25/0.80 % (6637)Termination phase: Saturation
% 1.25/0.80
% 1.25/0.80 % (6637)Memory used [KB]: 1760
% 1.25/0.80 % (6637)Time elapsed: 0.018 s
% 1.25/0.80 % (6637)Instructions burned: 54 (million)
% 1.25/0.80 % (6637)------------------------------
% 1.25/0.80 % (6637)------------------------------
% 1.25/0.81 % (6649)lrs+1011_4:1_bsr=on:sil=32000:sos=all:urr=on:br=off:s2a=on:i=289:s2at=2.0:bd=off:gsp=on:ss=axioms:sgt=8:sd=1:fsr=off_0 on Vampire---4 for (2994ds/289Mi)
% 1.25/0.81 % (6624)Instruction limit reached!
% 1.25/0.81 % (6624)------------------------------
% 1.25/0.81 % (6624)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.81 % (6624)Termination reason: Unknown
% 1.25/0.81 % (6624)Termination phase: Saturation
% 1.25/0.81
% 1.25/0.81 % (6624)Memory used [KB]: 2159
% 1.25/0.81 % (6624)Time elapsed: 0.036 s
% 1.25/0.81 % (6624)Instructions burned: 122 (million)
% 1.25/0.81 % (6624)------------------------------
% 1.25/0.81 % (6624)------------------------------
% 1.25/0.81 % (6653)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=206:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on Vampire---4 for (2994ds/206Mi)
% 1.25/0.81 % (6621)Instruction limit reached!
% 1.25/0.81 % (6621)------------------------------
% 1.25/0.81 % (6621)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.81 % (6621)Termination reason: Unknown
% 1.25/0.81 % (6621)Termination phase: Saturation
% 1.25/0.81
% 1.25/0.81 % (6621)Memory used [KB]: 1946
% 1.25/0.81 % (6621)Time elapsed: 0.049 s
% 1.25/0.81 % (6621)Instructions burned: 134 (million)
% 1.25/0.81 % (6621)------------------------------
% 1.25/0.81 % (6621)------------------------------
% 1.25/0.82 % (6656)ott+1004_1:2_bsr=unit_only:slsqr=1,8:to=lpo:sil=2000:plsqc=2:plsq=on:sp=reverse_frequency:acc=on:nwc=6.4:slsq=on:st=2.0:i=50:s2at=3.0:bd=off:ins=4:ss=axioms:sgt=10:plsql=on:rawr=on:aer=off:slsqc=2:afp=4000:afq=2.0:bce=on:gs=on:lma=on:br=off:gsaa=full_model:add=off_0 on Vampire---4 for (2994ds/50Mi)
% 1.25/0.82 % (6646)Instruction limit reached!
% 1.25/0.82 % (6646)------------------------------
% 1.25/0.82 % (6646)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.82 % (6646)Termination reason: Unknown
% 1.25/0.82 % (6646)Termination phase: Saturation
% 1.25/0.82
% 1.25/0.82 % (6646)Memory used [KB]: 2060
% 1.25/0.82 % (6646)Time elapsed: 0.019 s
% 1.25/0.82 % (6646)Instructions burned: 56 (million)
% 1.25/0.82 % (6646)------------------------------
% 1.25/0.82 % (6646)------------------------------
% 1.25/0.82 % (6634)Instruction limit reached!
% 1.25/0.82 % (6634)------------------------------
% 1.25/0.82 % (6634)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.82 % (6634)Termination reason: Unknown
% 1.25/0.82 % (6634)Termination phase: Saturation
% 1.25/0.82
% 1.25/0.82 % (6634)Memory used [KB]: 2547
% 1.25/0.82 % (6634)Time elapsed: 0.042 s
% 1.25/0.82 % (6634)Instructions burned: 117 (million)
% 1.25/0.82 % (6634)------------------------------
% 1.25/0.82 % (6634)------------------------------
% 1.25/0.82 % (6661)lrs+1011_1:1_to=lpo:drc=off:sil=2000:tgt=full:i=1483:fd=preordered_0 on Vampire---4 for (2994ds/1483Mi)
% 1.25/0.83 % (6656)Refutation not found, incomplete strategy% (6656)------------------------------
% 1.25/0.83 % (6656)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.83 % (6656)Termination reason: Refutation not found, incomplete strategy
% 1.25/0.83
% 1.25/0.83 % (6656)Memory used [KB]: 1370
% 1.25/0.83 % (6656)Time elapsed: 0.010 s
% 1.25/0.83 % (6656)Instructions burned: 26 (million)
% 1.25/0.83 % (6656)------------------------------
% 1.25/0.83 % (6656)------------------------------
% 1.25/0.83 % (6664)dis+1010_1:3_sil=2000:tgt=ground:sp=const_max:nwc=5.0:s2a=on:i=67:nm=16:av=off:bd=off_0 on Vampire---4 for (2994ds/67Mi)
% 1.25/0.83 % (6666)lrs+1011_1:1_sil=64000:tgt=full:plsqc=1:plsq=on:plsqr=32,1:sp=occurrence:sos=on:lsd=20:st=5.0:i=67:sd=2:nm=4:av=off:fsr=off:ss=axioms:er=tagged:gs=on:sgt=8:nwc=3.0:bd=off_0 on Vampire---4 for (2994ds/67Mi)
% 1.69/0.85 % (6664)Instruction limit reached!
% 1.69/0.85 % (6664)------------------------------
% 1.69/0.85 % (6664)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.69/0.85 % (6664)Termination reason: Unknown
% 1.69/0.85 % (6664)Termination phase: Saturation
% 1.69/0.85
% 1.69/0.85 % (6664)Memory used [KB]: 1821
% 1.69/0.85 % (6664)Time elapsed: 0.021 s
% 1.69/0.85 % (6664)Instructions burned: 68 (million)
% 1.69/0.85 % (6664)------------------------------
% 1.69/0.85 % (6664)------------------------------
% 1.69/0.85 % (6645)Instruction limit reached!
% 1.69/0.85 % (6645)------------------------------
% 1.69/0.85 % (6645)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.69/0.85 % (6645)Termination reason: Unknown
% 1.69/0.85 % (6645)Termination phase: Saturation
% 1.69/0.85
% 1.69/0.85 % (6645)Memory used [KB]: 1945
% 1.69/0.85 % (6645)Time elapsed: 0.046 s
% 1.69/0.85 % (6645)Instructions burned: 151 (million)
% 1.69/0.85 % (6645)------------------------------
% 1.69/0.85 % (6645)------------------------------
% 1.69/0.85 % (6680)dis+1002_1:1024_sil=2000:sac=on:slsq=on:i=52:nm=16:sfv=off:slsqc=1:urr=ec_only:bd=off_0 on Vampire---4 for (2994ds/52Mi)
% 1.69/0.85 % (6683)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:i=366:sd=2:ss=axioms_0 on Vampire---4 for (2994ds/366Mi)
% 1.69/0.85 % (6683)Refutation not found, incomplete strategy% (6683)------------------------------
% 1.69/0.85 % (6683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.69/0.85 % (6683)Termination reason: Refutation not found, incomplete strategy
% 1.69/0.85
% 1.69/0.85 % (6683)Memory used [KB]: 1133
% 1.69/0.85 % (6683)Time elapsed: 0.002 s
% 1.69/0.85 % (6683)Instructions burned: 5 (million)
% 1.69/0.85 % (6683)------------------------------
% 1.69/0.85 % (6683)------------------------------
% 1.69/0.86 % (6666)Instruction limit reached!
% 1.69/0.86 % (6666)------------------------------
% 1.69/0.86 % (6666)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.69/0.86 % (6666)Termination reason: Unknown
% 1.69/0.86 % (6666)Termination phase: Saturation
% 1.69/0.86
% 1.69/0.86 % (6666)Memory used [KB]: 2404
% 1.69/0.86 % (6666)Time elapsed: 0.027 s
% 1.69/0.86 % (6666)Instructions burned: 69 (million)
% 1.69/0.86 % (6666)------------------------------
% 1.69/0.86 % (6666)------------------------------
% 1.69/0.86 % (6614)Instruction limit reached!
% 1.69/0.86 % (6614)------------------------------
% 1.69/0.86 % (6614)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.69/0.86 % (6614)Termination reason: Unknown
% 1.69/0.86 % (6614)Termination phase: Saturation
% 1.69/0.86
% 1.69/0.86 % (6614)Memory used [KB]: 4225
% 1.69/0.86 % (6614)Time elapsed: 0.141 s
% 1.69/0.86 % (6614)Instructions burned: 363 (million)
% 1.69/0.86 % (6614)------------------------------
% 1.69/0.86 % (6614)------------------------------
% 1.69/0.86 % (6687)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=863:ss=axioms:aac=none:br=off:bd=preordered_0 on Vampire---4 for (2994ds/863Mi)
% 1.69/0.86 % (6688)lrs+1011_1:1_sil=16000:fde=unused:plsqc=1:plsq=on:plsqr=32,1:sos=on:nwc=10.0:i=163:kws=frequency:nm=2:lsd=1:bd=off_0 on Vampire---4 for (2994ds/163Mi)
% 1.69/0.86 % (6689)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=77:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on Vampire---4 for (2994ds/77Mi)
% 1.91/0.87 % (6680)Instruction limit reached!
% 1.91/0.87 % (6680)------------------------------
% 1.91/0.87 % (6680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.91/0.87 % (6680)Termination reason: Unknown
% 1.91/0.87 % (6680)Termination phase: Saturation
% 1.91/0.87
% 1.91/0.87 % (6680)Memory used [KB]: 1599
% 1.91/0.87 % (6680)Time elapsed: 0.017 s
% 1.91/0.87 % (6680)Instructions burned: 54 (million)
% 1.91/0.87 % (6680)------------------------------
% 1.91/0.87 % (6680)------------------------------
% 1.91/0.87 % (6691)lrs-1010_1:8_sil=2000:sos=on:i=1548:sd=1:ins=3:ss=included_0 on Vampire---4 for (2994ds/1548Mi)
% 1.91/0.87 % (6691)Refutation not found, incomplete strategy% (6691)------------------------------
% 1.91/0.87 % (6691)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.91/0.87 % (6691)Termination reason: Refutation not found, incomplete strategy
% 1.91/0.87
% 1.91/0.87 % (6691)Memory used [KB]: 1267
% 1.91/0.87 % (6691)Time elapsed: 0.005 s
% 1.91/0.87 % (6691)Instructions burned: 14 (million)
% 1.91/0.87 % (6691)------------------------------
% 1.91/0.87 % (6691)------------------------------
% 1.91/0.88 % (6697)lrs+1010_974213:1048576_nwc=9.0:s2a=on:i=76:bd=off:lwlo=on:fd=off:sil=256000:s2agt=10:sims=off:nm=9:sp=const_min:rp=on:er=known:cond=fast:bce=on:abs=on:irw=on:amm=sco:afp=2000:updr=off:add=off:to=lpo:awrs=decay:awrsf=260:rawr=on:afq=2.0:uhcvi=on_0 on Vampire---4 for (2994ds/76Mi)
% 1.91/0.88 % (6653)Instruction limit reached!
% 1.91/0.88 % (6653)------------------------------
% 1.91/0.88 % (6653)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.91/0.88 % (6653)Termination reason: Unknown
% 1.91/0.88 % (6653)Termination phase: Saturation
% 1.91/0.88
% 1.91/0.88 % (6653)Memory used [KB]: 3598
% 1.91/0.88 % (6653)Time elapsed: 0.063 s
% 1.91/0.88 % (6653)Instructions burned: 207 (million)
% 1.91/0.88 % (6653)------------------------------
% 1.91/0.88 % (6653)------------------------------
% 1.91/0.88 % (6699)dis+1010_111129:1048576_sfv=off:drc=encompass:sil=2000:tgt=full:sp=reverse_arity:spb=goal:rnwc=on:fd=preordered:rp=on:nwc=6.5667:i=1376:kws=arity_squared:bd=off:nm=0:uhcvi=on:rawr=on:av=off:erd=off:cond=on:lcm=reverse_0 on Vampire---4 for (2994ds/1376Mi)
% 1.91/0.88 % (6689)Instruction limit reached!
% 1.91/0.88 % (6689)------------------------------
% 1.91/0.88 % (6689)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.91/0.88 % (6689)Termination reason: Unknown
% 1.91/0.88 % (6689)Termination phase: Saturation
% 1.91/0.88
% 1.91/0.88 % (6689)Memory used [KB]: 2118
% 1.91/0.88 % (6689)Time elapsed: 0.022 s
% 1.91/0.88 % (6689)Instructions burned: 77 (million)
% 1.91/0.88 % (6689)------------------------------
% 1.91/0.88 % (6689)------------------------------
% 1.91/0.88 % (6702)lrs-1002_3:2_sil=2000:sos=on:fd=off:nwc=10.0:flr=on:i=117:nm=16:fsr=off:sup=off:ss=axioms:fs=off:bd=off:fde=none:erd=off_0 on Vampire---4 for (2994ds/117Mi)
% 1.91/0.88 % (6702)Refutation not found, incomplete strategy% (6702)------------------------------
% 1.91/0.88 % (6702)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.91/0.88 % (6702)Termination reason: Refutation not found, incomplete strategy
% 1.91/0.88
% 1.91/0.88 % (6702)Memory used [KB]: 1161
% 1.91/0.88 % (6702)Time elapsed: 0.002 s
% 1.91/0.88 % (6702)Instructions burned: 4 (million)
% 1.91/0.88 % (6702)------------------------------
% 1.91/0.88 % (6702)------------------------------
% 1.91/0.89 % (6706)ott+1011_47:51_anc=all_dependent:slsqr=853,231:sil=4000:sp=reverse_frequency:foolp=on:spb=non_intro:abs=on:s2agt=50:slsqc=1:slsq=on:st=4.0:i=59:s2at=1.5:sd=7:kws=inv_frequency:afp=2000:nm=14:ins=2:afq=1.2:uhcvi=on:afr=on:gsp=on:ss=axioms:sgt=100:rawr=on:tgt=ground:awrs=converge:awrsf=390:bs=unit_only:add=off:flr=on:plsq=on:plsqc=1:plsqr=6705511,1048576:bd=preordered:newcnf=on:nwc=5.0_0 on Vampire---4 for (2994ds/59Mi)
% 1.91/0.89 % (6649)Instruction limit reached!
% 1.91/0.89 % (6649)------------------------------
% 1.91/0.89 % (6649)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.91/0.89 % (6649)Termination reason: Unknown
% 1.91/0.89 % (6649)Termination phase: Saturation
% 1.91/0.89
% 1.91/0.89 % (6649)Memory used [KB]: 3295
% 1.91/0.89 % (6649)Time elapsed: 0.084 s
% 1.91/0.89 % (6649)Instructions burned: 289 (million)
% 1.91/0.89 % (6649)------------------------------
% 1.91/0.89 % (6649)------------------------------
% 1.91/0.89 % (6711)lrs+1002_1:1_sfv=off:drc=encompass:sil=2000:fde=unused:sp=frequency:nwc=10.0:flr=on:st=1.5:i=151:bd=off:nm=0:ins=4:fsr=off:fsd=on:ss=axioms:s2a=on:s2agt=32:to=lpo:aac=none:sims=off_0 on Vampire---4 for (2994ds/151Mi)
% 1.91/0.90 % (6697)Instruction limit reached!
% 1.91/0.90 % (6697)------------------------------
% 1.91/0.90 % (6697)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.91/0.90 % (6697)Termination reason: Unknown
% 1.91/0.90 % (6697)Termination phase: Saturation
% 1.91/0.90
% 1.91/0.90 % (6697)Memory used [KB]: 1971
% 1.91/0.90 % (6697)Time elapsed: 0.026 s
% 1.91/0.90 % (6697)Instructions burned: 78 (million)
% 1.91/0.90 % (6697)------------------------------
% 1.91/0.90 % (6697)------------------------------
% 1.91/0.90 % (6715)lrs+11_1:1_sos=on:urr=on:s2a=on:i=260:sd=1:aac=none:ss=axioms:gsp=on:sil=128000:nm=3:bce=on:fd=preordered:alpa=true:etr=on:bd=off:lcm=predicate_0 on Vampire---4 for (2994ds/260Mi)
% 1.91/0.91 % (6706)Instruction limit reached!
% 1.91/0.91 % (6706)------------------------------
% 1.91/0.91 % (6706)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.91/0.91 % (6706)Termination reason: Unknown
% 1.91/0.91 % (6706)Termination phase: Saturation
% 1.91/0.91
% 1.91/0.91 % (6706)Memory used [KB]: 1959
% 1.91/0.91 % (6706)Time elapsed: 0.022 s
% 1.91/0.91 % (6706)Instructions burned: 61 (million)
% 1.91/0.91 % (6706)------------------------------
% 1.91/0.91 % (6706)------------------------------
% 1.91/0.91 % (6722)dis+1010_1:1_drc=off:sil=32000:rp=on:cond=fast:i=1797:av=off:newcnf=on:bd=off:sfv=off:plsq=on:plsqr=1,32:erd=off_0 on Vampire---4 for (2994ds/1797Mi)
% 1.91/0.91 % (6688)Instruction limit reached!
% 1.91/0.91 % (6688)------------------------------
% 1.91/0.91 % (6688)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.91/0.91 % (6688)Termination reason: Unknown
% 1.91/0.91 % (6688)Termination phase: Saturation
% 1.91/0.91
% 1.91/0.91 % (6688)Memory used [KB]: 3531
% 1.91/0.91 % (6688)Time elapsed: 0.057 s
% 1.91/0.91 % (6688)Instructions burned: 165 (million)
% 1.91/0.91 % (6688)------------------------------
% 1.91/0.91 % (6688)------------------------------
% 1.91/0.92 % (6731)lrs-1010_1:8_sil=2000:spb=intro:acc=on:rp=on:i=200:sd=1:bd=off:uhcvi=on:ss=axioms:sgt=32:rawr=on:erd=off:alpa=true:anc=none:afp=2000_0 on Vampire---4 for (2993ds/200Mi)
% 2.22/0.94 % (6711)Instruction limit reached!
% 2.22/0.94 % (6711)------------------------------
% 2.22/0.94 % (6711)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.22/0.94 % (6711)Termination reason: Unknown
% 2.22/0.94 % (6711)Termination phase: Saturation
% 2.22/0.94
% 2.22/0.94 % (6711)Memory used [KB]: 2163
% 2.22/0.94 % (6711)Time elapsed: 0.045 s
% 2.22/0.94 % (6711)Instructions burned: 151 (million)
% 2.22/0.94 % (6711)------------------------------
% 2.22/0.94 % (6711)------------------------------
% 2.22/0.94 % (6755)lrs+1002_1:8_sil=4000:sos=on:nicw=on:st=2.5:i=356:ss=included:sd=7:ep=RS:erd=off_0 on Vampire---4 for (2993ds/356Mi)
% 2.22/0.94 % (6755)Refutation not found, incomplete strategy% (6755)------------------------------
% 2.22/0.94 % (6755)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.22/0.94 % (6755)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.94
% 2.22/0.94 % (6755)Memory used [KB]: 1272
% 2.22/0.94 % (6755)Time elapsed: 0.005 s
% 2.22/0.94 % (6755)Instructions burned: 13 (million)
% 2.22/0.94 % (6755)------------------------------
% 2.22/0.94 % (6755)------------------------------
% 2.22/0.95 % (6761)lrs+1011_1:4_bsr=unit_only:to=lpo:sil=2000:plsqc=4:plsq=on:sp=occurrence:plsql=on:alpa=false:i=75:afp=10:afq=2.0:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2993ds/75Mi)
% 2.22/0.95 % (6661)First to succeed.
% 2.22/0.95 % (6761)Refutation not found, incomplete strategy% (6761)------------------------------
% 2.22/0.95 % (6761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.22/0.95 % (6761)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.95
% 2.22/0.95 % (6761)Memory used [KB]: 1174
% 2.22/0.95 % (6761)Time elapsed: 0.004 s
% 2.22/0.95 % (6761)Instructions burned: 9 (million)
% 2.22/0.95 % (6761)------------------------------
% 2.22/0.95 % (6761)------------------------------
% 2.22/0.95 % (6661)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6579"
% 2.22/0.95 % (6661)Refutation found. Thanks to Tanya!
% 2.22/0.95 % SZS status Theorem for Vampire---4
% 2.22/0.95 % SZS output start Proof for Vampire---4
% See solution above
% 2.22/0.96 % (6661)------------------------------
% 2.22/0.96 % (6661)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.22/0.96 % (6661)Termination reason: Refutation
% 2.22/0.96
% 2.22/0.96 % (6661)Memory used [KB]: 3689
% 2.22/0.96 % (6661)Time elapsed: 0.127 s
% 2.22/0.96 % (6661)Instructions burned: 407 (million)
% 2.22/0.96 % (6579)Success in time 0.643 s
% 2.22/0.96 % Vampire---4.8 exiting
%------------------------------------------------------------------------------