TSTP Solution File: GRP632+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP632+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:17:16 EDT 2022
% Result : Theorem 0.10s 0.52s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 48
% Syntax : Number of formulae : 220 ( 18 unt; 0 def)
% Number of atoms : 844 ( 69 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1039 ( 415 ~; 462 |; 101 &)
% ( 37 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 52 ( 50 usr; 32 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-6 aty)
% Number of variables : 257 ( 249 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1669,plain,
$false,
inference(avatar_sat_refutation,[],[f437,f468,f482,f492,f514,f517,f530,f537,f539,f656,f668,f671,f706,f716,f720,f811,f814,f857,f963,f1196,f1220,f1249,f1253,f1311,f1438,f1482,f1485,f1519,f1536,f1598,f1645,f1668]) ).
fof(f1668,plain,
( ~ spl25_18
| ~ spl25_8
| ~ spl25_112 ),
inference(avatar_split_clause,[],[f1665,f1497,f489,f575]) ).
fof(f575,plain,
( spl25_18
<=> m1_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_18])]) ).
fof(f489,plain,
( spl25_8
<=> m2_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).
fof(f1497,plain,
( spl25_112
<=> ! [X1] :
( ~ m1_relset_1(sK5,X1,u1_struct_0(sK4))
| ~ m2_relset_1(sK5,X1,u1_struct_0(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_112])]) ).
fof(f1665,plain,
( ~ m1_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl25_8
| ~ spl25_112 ),
inference(resolution,[],[f1498,f491]) ).
fof(f491,plain,
( m2_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl25_8 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f1498,plain,
( ! [X1] :
( ~ m2_relset_1(sK5,X1,u1_struct_0(sK4))
| ~ m1_relset_1(sK5,X1,u1_struct_0(sK4)) )
| ~ spl25_112 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f1645,plain,
( ~ spl25_18
| ~ spl25_8
| ~ spl25_103 ),
inference(avatar_split_clause,[],[f1642,f1406,f489,f575]) ).
fof(f1406,plain,
( spl25_103
<=> ! [X0] :
( ~ m2_relset_1(sK5,u1_struct_0(sK4),X0)
| ~ m1_relset_1(sK5,u1_struct_0(sK4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_103])]) ).
fof(f1642,plain,
( ~ m1_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl25_8
| ~ spl25_103 ),
inference(resolution,[],[f1407,f491]) ).
fof(f1407,plain,
( ! [X0] :
( ~ m2_relset_1(sK5,u1_struct_0(sK4),X0)
| ~ m1_relset_1(sK5,u1_struct_0(sK4),X0) )
| ~ spl25_103 ),
inference(avatar_component_clause,[],[f1406]) ).
fof(f1598,plain,
( ~ spl25_18
| ~ spl25_22
| spl25_3
| ~ spl25_7
| ~ spl25_5
| ~ spl25_23
| ~ spl25_20
| ~ spl25_106
| spl25_2 ),
inference(avatar_split_clause,[],[f1596,f434,f1442,f584,f596,f455,f479,f447,f592,f575]) ).
fof(f592,plain,
( spl25_22
<=> m1_relset_1(k6_autgroup(sK4,k2_group_1(sK4)),u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_22])]) ).
fof(f447,plain,
( spl25_3
<=> v1_xboole_0(u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).
fof(f479,plain,
( spl25_7
<=> v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).
fof(f455,plain,
( spl25_5
<=> v1_funct_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_5])]) ).
fof(f596,plain,
( spl25_23
<=> v1_funct_1(k6_autgroup(sK4,k2_group_1(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_23])]) ).
fof(f584,plain,
( spl25_20
<=> v1_funct_2(k6_autgroup(sK4,k2_group_1(sK4)),u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_20])]) ).
fof(f1442,plain,
( spl25_106
<=> sK5 = k5_relat_1(sK5,k6_autgroup(sK4,k2_group_1(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_106])]) ).
fof(f434,plain,
( spl25_2
<=> sK5 = k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),sK5,k6_autgroup(sK4,k2_group_1(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).
fof(f1596,plain,
( sK5 != k5_relat_1(sK5,k6_autgroup(sK4,k2_group_1(sK4)))
| ~ v1_funct_2(k6_autgroup(sK4,k2_group_1(sK4)),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(k6_autgroup(sK4,k2_group_1(sK4)))
| ~ v1_funct_1(sK5)
| ~ v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ m1_relset_1(k6_autgroup(sK4,k2_group_1(sK4)),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m1_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| spl25_2 ),
inference(superposition,[],[f436,f423]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4] :
( k7_funct_2(X2,X4,X0,X3,X1) = k5_relat_1(X3,X1)
| ~ m1_relset_1(X1,X4,X0)
| ~ v1_funct_2(X3,X2,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X1)
| v1_xboole_0(X4)
| ~ m1_relset_1(X3,X2,X4)
| ~ v1_funct_2(X1,X4,X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
! [X0,X1,X2,X3,X4] :
( ~ v1_funct_2(X1,X4,X0)
| ~ m1_relset_1(X1,X4,X0)
| v1_xboole_0(X4)
| k7_funct_2(X2,X4,X0,X3,X1) = k5_relat_1(X3,X1)
| ~ v1_funct_2(X3,X2,X4)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,X2,X4)
| ~ v1_funct_1(X3) ),
inference(rectify,[],[f188]) ).
fof(f188,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X3,X4,X2)
| ~ m1_relset_1(X3,X4,X2)
| v1_xboole_0(X4)
| k5_relat_1(X1,X3) = k7_funct_2(X0,X4,X2,X1,X3)
| ~ v1_funct_2(X1,X0,X4)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X1,X0,X4)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f187]) ).
fof(f187,plain,
! [X1,X0,X3,X2,X4] :
( k5_relat_1(X1,X3) = k7_funct_2(X0,X4,X2,X1,X3)
| ~ m1_relset_1(X3,X4,X2)
| ~ v1_funct_2(X1,X0,X4)
| ~ v1_funct_2(X3,X4,X2)
| ~ m1_relset_1(X1,X0,X4)
| ~ v1_funct_1(X3)
| v1_xboole_0(X4)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X1,X0,X3,X2,X4] :
( ( m1_relset_1(X3,X4,X2)
& v1_funct_2(X1,X0,X4)
& v1_funct_2(X3,X4,X2)
& m1_relset_1(X1,X0,X4)
& v1_funct_1(X3)
& ~ v1_xboole_0(X4)
& v1_funct_1(X1) )
=> k5_relat_1(X1,X3) = k7_funct_2(X0,X4,X2,X1,X3) ),
inference(rectify,[],[f69]) ).
fof(f69,axiom,
! [X0,X3,X2,X4,X1] :
( ( v1_funct_2(X4,X1,X2)
& v1_funct_1(X3)
& v1_funct_1(X4)
& m1_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& m1_relset_1(X4,X1,X2)
& ~ v1_xboole_0(X1) )
=> k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(f436,plain,
( sK5 != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),sK5,k6_autgroup(sK4,k2_group_1(sK4)))
| spl25_2 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f1536,plain,
( ~ spl25_9
| ~ spl25_13
| ~ spl25_11
| ~ spl25_111
| ~ spl25_10
| spl25_12
| spl25_106 ),
inference(avatar_split_clause,[],[f1535,f1442,f507,f499,f1488,f503,f511,f495]) ).
fof(f495,plain,
( spl25_9
<=> v4_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).
fof(f511,plain,
( spl25_13
<=> l1_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_13])]) ).
fof(f503,plain,
( spl25_11
<=> v1_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).
fof(f1488,plain,
( spl25_111
<=> k5_relat_1(sK5,k6_relat_1(u1_struct_0(sK4))) = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_111])]) ).
fof(f499,plain,
( spl25_10
<=> v3_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_10])]) ).
fof(f507,plain,
( spl25_12
<=> v3_struct_0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_12])]) ).
fof(f1535,plain,
( v3_struct_0(sK4)
| ~ v3_group_1(sK4)
| k5_relat_1(sK5,k6_relat_1(u1_struct_0(sK4))) != sK5
| ~ v1_group_1(sK4)
| ~ l1_group_1(sK4)
| ~ v4_group_1(sK4)
| spl25_106 ),
inference(superposition,[],[f1444,f424]) ).
fof(f424,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_relat_1(u1_struct_0(X0))
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(definition_unfolding,[],[f273,f323]) ).
fof(f323,plain,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f273,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ( v1_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& v3_group_1(X0) )
=> k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_autgroup) ).
fof(f1444,plain,
( sK5 != k5_relat_1(sK5,k6_autgroup(sK4,k2_group_1(sK4)))
| spl25_106 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f1519,plain,
( ~ spl25_16
| spl25_112
| spl25_111 ),
inference(avatar_split_clause,[],[f1516,f1488,f1497,f567]) ).
fof(f567,plain,
( spl25_16
<=> m1_relset_1(k6_relat_1(u1_struct_0(sK4)),u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_16])]) ).
fof(f1516,plain,
( ! [X1] :
( ~ m2_relset_1(sK5,X1,u1_struct_0(sK4))
| ~ m1_relset_1(sK5,X1,u1_struct_0(sK4))
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK4)),u1_struct_0(sK4),u1_struct_0(sK4)) )
| spl25_111 ),
inference(trivial_inequality_removal,[],[f1515]) ).
fof(f1515,plain,
( ! [X1] :
( ~ m2_relset_1(sK5,X1,u1_struct_0(sK4))
| sK5 != sK5
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK4)),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m1_relset_1(sK5,X1,u1_struct_0(sK4)) )
| spl25_111 ),
inference(superposition,[],[f1490,f526]) ).
fof(f526,plain,
! [X3,X4,X5] :
( k5_relat_1(X5,k6_relat_1(X4)) = X5
| ~ m1_relset_1(X5,X3,X4)
| ~ m1_relset_1(k6_relat_1(X4),X4,X4)
| ~ m2_relset_1(X5,X3,X4) ),
inference(superposition,[],[f388,f426]) ).
fof(f426,plain,
! [X2,X0,X1] :
( k7_relset_1(X1,X0,X0,X0,X2,k6_relat_1(X0)) = X2
| ~ m2_relset_1(X2,X1,X0) ),
inference(definition_unfolding,[],[f280,f323]) ).
fof(f280,plain,
! [X2,X0,X1] :
( k7_relset_1(X1,X0,X0,X0,X2,k6_partfun1(X0)) = X2
| ~ m2_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ( k7_relset_1(X1,X1,X1,X0,k6_partfun1(X1),X2) = X2
& k7_relset_1(X1,X0,X0,X0,X2,k6_partfun1(X0)) = X2 )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X1,X2,X0] :
( m2_relset_1(X2,X1,X0)
=> ( k7_relset_1(X1,X1,X1,X0,k6_partfun1(X1),X2) = X2
& k7_relset_1(X1,X0,X0,X0,X2,k6_partfun1(X0)) = X2 ) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X1,X0,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
& k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_2) ).
fof(f388,plain,
! [X2,X3,X0,X1,X4,X5] :
( k5_relat_1(X4,X1) = k7_relset_1(X3,X5,X0,X2,X4,X1)
| ~ m1_relset_1(X4,X3,X5)
| ~ m1_relset_1(X1,X0,X2) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m1_relset_1(X1,X0,X2)
| k5_relat_1(X4,X1) = k7_relset_1(X3,X5,X0,X2,X4,X1)
| ~ m1_relset_1(X4,X3,X5) ),
inference(rectify,[],[f152]) ).
fof(f152,plain,
! [X4,X0,X5,X3,X1,X2] :
( ~ m1_relset_1(X0,X4,X5)
| k5_relat_1(X1,X0) = k7_relset_1(X3,X2,X4,X5,X1,X0)
| ~ m1_relset_1(X1,X3,X2) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X5,X4,X0,X2,X1,X3] :
( k5_relat_1(X1,X0) = k7_relset_1(X3,X2,X4,X5,X1,X0)
| ~ m1_relset_1(X0,X4,X5)
| ~ m1_relset_1(X1,X3,X2) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X5,X4,X0,X2,X1,X3] :
( ( m1_relset_1(X0,X4,X5)
& m1_relset_1(X1,X3,X2) )
=> k5_relat_1(X1,X0) = k7_relset_1(X3,X2,X4,X5,X1,X0) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
! [X5,X4,X1,X0,X2,X3] :
( ( m1_relset_1(X4,X0,X1)
& m1_relset_1(X5,X2,X3) )
=> k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
fof(f1490,plain,
( k5_relat_1(sK5,k6_relat_1(u1_struct_0(sK4))) != sK5
| spl25_111 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f1485,plain,
( ~ spl25_11
| ~ spl25_9
| ~ spl25_17
| ~ spl25_10
| ~ spl25_13
| spl25_12
| spl25_21 ),
inference(avatar_split_clause,[],[f1484,f588,f507,f511,f499,f571,f495,f503]) ).
fof(f571,plain,
( spl25_17
<=> sK5 = k5_relat_1(k6_relat_1(u1_struct_0(sK4)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_17])]) ).
fof(f588,plain,
( spl25_21
<=> sK5 = k5_relat_1(k6_autgroup(sK4,k2_group_1(sK4)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_21])]) ).
fof(f1484,plain,
( v3_struct_0(sK4)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| sK5 != k5_relat_1(k6_relat_1(u1_struct_0(sK4)),sK5)
| ~ v4_group_1(sK4)
| ~ v1_group_1(sK4)
| spl25_21 ),
inference(superposition,[],[f590,f424]) ).
fof(f590,plain,
( sK5 != k5_relat_1(k6_autgroup(sK4,k2_group_1(sK4)),sK5)
| spl25_21 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f1482,plain,
( ~ spl25_22
| ~ spl25_5
| ~ spl25_18
| ~ spl25_21
| ~ spl25_23
| spl25_3
| ~ spl25_20
| ~ spl25_7
| spl25_1 ),
inference(avatar_split_clause,[],[f1481,f430,f479,f584,f447,f596,f588,f575,f455,f592]) ).
fof(f430,plain,
( spl25_1
<=> sK5 = k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),k6_autgroup(sK4,k2_group_1(sK4)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).
fof(f1481,plain,
( ~ v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_2(k6_autgroup(sK4,k2_group_1(sK4)),u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ v1_funct_1(k6_autgroup(sK4,k2_group_1(sK4)))
| sK5 != k5_relat_1(k6_autgroup(sK4,k2_group_1(sK4)),sK5)
| ~ m1_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ m1_relset_1(k6_autgroup(sK4,k2_group_1(sK4)),u1_struct_0(sK4),u1_struct_0(sK4))
| spl25_1 ),
inference(superposition,[],[f432,f423]) ).
fof(f432,plain,
( sK5 != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),k6_autgroup(sK4,k2_group_1(sK4)),sK5)
| spl25_1 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f1438,plain,
( ~ spl25_16
| spl25_103
| spl25_17 ),
inference(avatar_split_clause,[],[f1435,f571,f1406,f567]) ).
fof(f1435,plain,
( ! [X0] :
( ~ m2_relset_1(sK5,u1_struct_0(sK4),X0)
| ~ m1_relset_1(sK5,u1_struct_0(sK4),X0)
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK4)),u1_struct_0(sK4),u1_struct_0(sK4)) )
| spl25_17 ),
inference(trivial_inequality_removal,[],[f1433]) ).
fof(f1433,plain,
( ! [X0] :
( sK5 != sK5
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK4)),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(sK5,u1_struct_0(sK4),X0)
| ~ m1_relset_1(sK5,u1_struct_0(sK4),X0) )
| spl25_17 ),
inference(superposition,[],[f573,f527]) ).
fof(f527,plain,
! [X2,X0,X1] :
( k5_relat_1(k6_relat_1(X0),X2) = X2
| ~ m1_relset_1(k6_relat_1(X0),X0,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(superposition,[],[f425,f388]) ).
fof(f425,plain,
! [X2,X0,X1] :
( k7_relset_1(X1,X1,X1,X0,k6_relat_1(X1),X2) = X2
| ~ m2_relset_1(X2,X1,X0) ),
inference(definition_unfolding,[],[f281,f323]) ).
fof(f281,plain,
! [X2,X0,X1] :
( k7_relset_1(X1,X1,X1,X0,k6_partfun1(X1),X2) = X2
| ~ m2_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f573,plain,
( sK5 != k5_relat_1(k6_relat_1(u1_struct_0(sK4)),sK5)
| spl25_17 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f1311,plain,
( spl25_16
| ~ spl25_13
| ~ spl25_10
| ~ spl25_9
| spl25_12
| ~ spl25_11
| ~ spl25_22 ),
inference(avatar_split_clause,[],[f1310,f592,f503,f507,f495,f499,f511,f567]) ).
fof(f1310,plain,
( ~ v1_group_1(sK4)
| v3_struct_0(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| ~ l1_group_1(sK4)
| m1_relset_1(k6_relat_1(u1_struct_0(sK4)),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl25_22 ),
inference(superposition,[],[f593,f424]) ).
fof(f593,plain,
( m1_relset_1(k6_autgroup(sK4,k2_group_1(sK4)),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl25_22 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f1253,plain,
( ~ spl25_81
| spl25_12
| ~ spl25_9
| ~ spl25_11
| ~ spl25_10
| ~ spl25_13
| spl25_3
| ~ spl25_4
| spl25_20 ),
inference(avatar_split_clause,[],[f1250,f584,f451,f447,f511,f499,f503,f495,f507,f1217]) ).
fof(f1217,plain,
( spl25_81
<=> m1_subset_1(k2_group_1(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_81])]) ).
fof(f451,plain,
( spl25_4
<=> m1_fraenkel(k4_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).
fof(f1250,plain,
( ~ m1_fraenkel(k4_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| ~ v1_group_1(sK4)
| ~ v4_group_1(sK4)
| v3_struct_0(sK4)
| ~ m1_subset_1(k2_group_1(sK4),u1_struct_0(sK4))
| spl25_20 ),
inference(resolution,[],[f586,f544]) ).
fof(f544,plain,
! [X2,X3] :
( v1_funct_2(k6_autgroup(X2,X3),u1_struct_0(X2),u1_struct_0(X2))
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_fraenkel(k4_autgroup(X2),u1_struct_0(X2),u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| v1_xboole_0(u1_struct_0(X2)) ),
inference(resolution,[],[f344,f333]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X2,X1,X0)
| v1_funct_2(X3,X2,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X0,X2,X1) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1,X2] :
( ~ m1_fraenkel(X0,X2,X1)
| ! [X3] :
( ( v1_funct_1(X3)
& m2_relset_1(X3,X2,X1)
& v1_funct_2(X3,X2,X1) )
| ~ m2_fraenkel(X3,X2,X1,X0) )
| v1_xboole_0(X1) ),
inference(rectify,[],[f183]) ).
fof(f183,plain,
! [X1,X2,X0] :
( ~ m1_fraenkel(X1,X0,X2)
| ! [X3] :
( ( v1_funct_1(X3)
& m2_relset_1(X3,X0,X2)
& v1_funct_2(X3,X0,X2) )
| ~ m2_fraenkel(X3,X0,X2,X1) )
| v1_xboole_0(X2) ),
inference(flattening,[],[f182]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ! [X3] :
( ( v1_funct_1(X3)
& m2_relset_1(X3,X0,X2)
& v1_funct_2(X3,X0,X2) )
| ~ m2_fraenkel(X3,X0,X2,X1) )
| v1_xboole_0(X2)
| ~ m1_fraenkel(X1,X0,X2) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X1,X0,X2) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X2,X1)
=> ( v1_funct_1(X3)
& m2_relset_1(X3,X0,X2)
& v1_funct_2(X3,X0,X2) ) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X0,X2,X1] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( v1_funct_2(X3,X0,X1)
& v1_funct_1(X3)
& m2_relset_1(X3,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f344,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X1,X0),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v4_group_1(X1)
| m2_fraenkel(k6_autgroup(X1,X0),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1) ),
inference(rectify,[],[f170]) ).
fof(f170,plain,
! [X1,X0] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_group_1(X0)
| m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ v1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] :
( ( v1_group_1(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& ~ v3_struct_0(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0) )
=> m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_autgroup) ).
fof(f586,plain,
( ~ v1_funct_2(k6_autgroup(sK4,k2_group_1(sK4)),u1_struct_0(sK4),u1_struct_0(sK4))
| spl25_20 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f1249,plain,
( ~ spl25_13
| spl25_12
| spl25_81 ),
inference(avatar_split_clause,[],[f1248,f1217,f507,f511]) ).
fof(f1248,plain,
( v3_struct_0(sK4)
| ~ l1_group_1(sK4)
| spl25_81 ),
inference(resolution,[],[f1219,f412]) ).
fof(f412,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f1219,plain,
( ~ m1_subset_1(k2_group_1(sK4),u1_struct_0(sK4))
| spl25_81 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f1220,plain,
( spl25_50
| spl25_12
| ~ spl25_81
| ~ spl25_10
| ~ spl25_9
| ~ spl25_11
| ~ spl25_13
| ~ spl25_80 ),
inference(avatar_split_clause,[],[f1214,f1194,f511,f503,f495,f499,f1217,f507,f960]) ).
fof(f960,plain,
( spl25_50
<=> m1_subset_1(k6_relat_1(u1_struct_0(sK4)),k4_autgroup(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_50])]) ).
fof(f1194,plain,
( spl25_80
<=> ! [X2] :
( m1_subset_1(k6_autgroup(sK4,X2),k4_autgroup(sK4))
| ~ m1_subset_1(X2,u1_struct_0(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_80])]) ).
fof(f1214,plain,
( ~ l1_group_1(sK4)
| ~ v1_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| ~ m1_subset_1(k2_group_1(sK4),u1_struct_0(sK4))
| v3_struct_0(sK4)
| m1_subset_1(k6_relat_1(u1_struct_0(sK4)),k4_autgroup(sK4))
| ~ spl25_80 ),
inference(superposition,[],[f1195,f424]) ).
fof(f1195,plain,
( ! [X2] :
( m1_subset_1(k6_autgroup(sK4,X2),k4_autgroup(sK4))
| ~ m1_subset_1(X2,u1_struct_0(sK4)) )
| ~ spl25_80 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1196,plain,
( ~ spl25_10
| spl25_12
| spl25_3
| ~ spl25_9
| ~ spl25_11
| spl25_80
| ~ spl25_13
| ~ spl25_4 ),
inference(avatar_split_clause,[],[f1191,f451,f511,f1194,f503,f495,f447,f507,f499]) ).
fof(f1191,plain,
( ! [X2] :
( ~ l1_group_1(sK4)
| m1_subset_1(k6_autgroup(sK4,X2),k4_autgroup(sK4))
| ~ m1_subset_1(X2,u1_struct_0(sK4))
| ~ v1_group_1(sK4)
| ~ v4_group_1(sK4)
| v1_xboole_0(u1_struct_0(sK4))
| v3_struct_0(sK4)
| ~ v3_group_1(sK4) )
| ~ spl25_4 ),
inference(resolution,[],[f545,f452]) ).
fof(f452,plain,
( m1_fraenkel(k4_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl25_4 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f545,plain,
! [X4,X5] :
( ~ m1_fraenkel(k4_autgroup(X4),u1_struct_0(X4),u1_struct_0(X4))
| ~ l1_group_1(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ v4_group_1(X4)
| v3_struct_0(X4)
| v1_xboole_0(u1_struct_0(X4))
| ~ v1_group_1(X4)
| m1_subset_1(k6_autgroup(X4,X5),k4_autgroup(X4))
| ~ v3_group_1(X4) ),
inference(resolution,[],[f344,f362]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X2,X1)
| m1_subset_1(X3,X1)
| ~ m1_fraenkel(X1,X0,X2)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2] :
( v1_xboole_0(X2)
| ~ m1_fraenkel(X1,X0,X2)
| ! [X3] :
( ( m1_subset_1(X3,X1)
| ~ m2_fraenkel(X3,X0,X2,X1) )
& ( m2_fraenkel(X3,X0,X2,X1)
| ~ m1_subset_1(X3,X1) ) ) ),
inference(rectify,[],[f232]) ).
fof(f232,plain,
! [X2,X1,X0] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(X1,X2,X0)
| ! [X3] :
( ( m1_subset_1(X3,X1)
| ~ m2_fraenkel(X3,X2,X0,X1) )
& ( m2_fraenkel(X3,X2,X0,X1)
| ~ m1_subset_1(X3,X1) ) ) ),
inference(nnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X2,X1,X0] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(X1,X2,X0)
| ! [X3] :
( m1_subset_1(X3,X1)
<=> m2_fraenkel(X3,X2,X0,X1) ) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X2,X1,X0] :
( ! [X3] :
( m1_subset_1(X3,X1)
<=> m2_fraenkel(X3,X2,X0,X1) )
| v1_xboole_0(X0)
| ~ m1_fraenkel(X1,X2,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
! [X2,X1,X0] :
( ( ~ v1_xboole_0(X0)
& m1_fraenkel(X1,X2,X0) )
=> ! [X3] :
( m1_subset_1(X3,X1)
<=> m2_fraenkel(X3,X2,X0,X1) ) ),
inference(rectify,[],[f71]) ).
fof(f71,axiom,
! [X1,X2,X0] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f963,plain,
( spl25_12
| ~ spl25_9
| ~ spl25_11
| ~ spl25_10
| ~ spl25_50
| ~ spl25_13
| spl25_22
| ~ spl25_43 ),
inference(avatar_split_clause,[],[f958,f855,f592,f511,f960,f499,f503,f495,f507]) ).
fof(f855,plain,
( spl25_43
<=> ! [X2] :
( ~ m1_subset_1(X2,k4_autgroup(sK4))
| m2_relset_1(X2,u1_struct_0(sK4),u1_struct_0(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_43])]) ).
fof(f958,plain,
( ~ l1_group_1(sK4)
| ~ m1_subset_1(k6_relat_1(u1_struct_0(sK4)),k4_autgroup(sK4))
| ~ v3_group_1(sK4)
| ~ v1_group_1(sK4)
| ~ v4_group_1(sK4)
| v3_struct_0(sK4)
| spl25_22
| ~ spl25_43 ),
inference(superposition,[],[f947,f424]) ).
fof(f947,plain,
( ~ m1_subset_1(k6_autgroup(sK4,k2_group_1(sK4)),k4_autgroup(sK4))
| spl25_22
| ~ spl25_43 ),
inference(resolution,[],[f858,f594]) ).
fof(f594,plain,
( ~ m1_relset_1(k6_autgroup(sK4,k2_group_1(sK4)),u1_struct_0(sK4),u1_struct_0(sK4))
| spl25_22 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f858,plain,
( ! [X0] :
( m1_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m1_subset_1(X0,k4_autgroup(sK4)) )
| ~ spl25_43 ),
inference(resolution,[],[f856,f378]) ).
fof(f378,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X0,X2)
| m1_relset_1(X1,X0,X2) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X1,X0,X2)
| ~ m1_relset_1(X1,X0,X2) )
& ( m1_relset_1(X1,X0,X2)
| ~ m2_relset_1(X1,X0,X2) ) ),
inference(rectify,[],[f251]) ).
fof(f251,plain,
! [X1,X2,X0] :
( ( m2_relset_1(X2,X1,X0)
| ~ m1_relset_1(X2,X1,X0) )
& ( m1_relset_1(X2,X1,X0)
| ~ m2_relset_1(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X1,X2,X0] :
( m2_relset_1(X2,X1,X0)
<=> m1_relset_1(X2,X1,X0) ),
inference(rectify,[],[f72]) ).
fof(f72,axiom,
! [X1,X0,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f856,plain,
( ! [X2] :
( m2_relset_1(X2,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m1_subset_1(X2,k4_autgroup(sK4)) )
| ~ spl25_43 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f857,plain,
( spl25_3
| spl25_43
| ~ spl25_4 ),
inference(avatar_split_clause,[],[f852,f451,f855,f447]) ).
fof(f852,plain,
( ! [X2] :
( ~ m1_subset_1(X2,k4_autgroup(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| m2_relset_1(X2,u1_struct_0(sK4),u1_struct_0(sK4)) )
| ~ spl25_4 ),
inference(resolution,[],[f486,f452]) ).
fof(f486,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X1,X2,X0)
| ~ m1_subset_1(X3,X1)
| v1_xboole_0(X0)
| m2_relset_1(X3,X2,X0) ),
inference(duplicate_literal_removal,[],[f484]) ).
fof(f484,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X0)
| m2_relset_1(X3,X2,X0)
| ~ m1_fraenkel(X1,X2,X0)
| ~ m1_fraenkel(X1,X2,X0) ),
inference(resolution,[],[f334,f361]) ).
fof(f361,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X2,X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,X1)
| ~ m1_fraenkel(X1,X0,X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X2,X1,X0)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X0,X2,X1)
| m2_relset_1(X3,X2,X1) ),
inference(cnf_transformation,[],[f221]) ).
fof(f814,plain,
( spl25_5
| ~ spl25_6
| ~ spl25_41 ),
inference(avatar_split_clause,[],[f813,f809,f465,f455]) ).
fof(f465,plain,
( spl25_6
<=> m1_subset_1(sK5,k4_autgroup(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).
fof(f809,plain,
( spl25_41
<=> ! [X2] :
( ~ m1_subset_1(X2,k4_autgroup(sK4))
| v1_funct_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_41])]) ).
fof(f813,plain,
( v1_funct_1(sK5)
| ~ spl25_6
| ~ spl25_41 ),
inference(resolution,[],[f810,f467]) ).
fof(f467,plain,
( m1_subset_1(sK5,k4_autgroup(sK4))
| ~ spl25_6 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f810,plain,
( ! [X2] :
( ~ m1_subset_1(X2,k4_autgroup(sK4))
| v1_funct_1(X2) )
| ~ spl25_41 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f811,plain,
( spl25_41
| spl25_3
| ~ spl25_4 ),
inference(avatar_split_clause,[],[f806,f451,f447,f809]) ).
fof(f806,plain,
( ! [X2] :
( v1_xboole_0(u1_struct_0(sK4))
| ~ m1_subset_1(X2,k4_autgroup(sK4))
| v1_funct_1(X2) )
| ~ spl25_4 ),
inference(resolution,[],[f460,f452]) ).
fof(f460,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X3,X0)
| ~ m1_subset_1(X1,X2)
| v1_xboole_0(X0)
| v1_funct_1(X1) ),
inference(duplicate_literal_removal,[],[f459]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( v1_funct_1(X1)
| ~ m1_fraenkel(X2,X3,X0)
| v1_xboole_0(X0)
| ~ m1_fraenkel(X2,X3,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X2) ),
inference(resolution,[],[f361,f335]) ).
fof(f335,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X2,X1,X0)
| ~ m1_fraenkel(X0,X2,X1)
| v1_xboole_0(X1)
| v1_funct_1(X3) ),
inference(cnf_transformation,[],[f221]) ).
fof(f720,plain,
spl25_15,
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f717,plain,
( $false
| spl25_15 ),
inference(resolution,[],[f565,f411]) ).
fof(f411,plain,
! [X0] : v1_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( v1_funct_1(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0))
& v8_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0)) ),
inference(pure_predicate_removal,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( v1_relat_1(k6_relat_1(X0))
& v4_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v8_relat_2(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_partfun1) ).
fof(f565,plain,
( ~ v1_funct_1(k6_relat_1(u1_struct_0(sK4)))
| spl25_15 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f563,plain,
( spl25_15
<=> v1_funct_1(k6_relat_1(u1_struct_0(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_15])]) ).
fof(f716,plain,
( ~ spl25_15
| ~ spl25_11
| ~ spl25_13
| ~ spl25_10
| spl25_12
| ~ spl25_9
| spl25_23 ),
inference(avatar_split_clause,[],[f715,f596,f495,f507,f499,f511,f503,f563]) ).
fof(f715,plain,
( ~ v4_group_1(sK4)
| v3_struct_0(sK4)
| ~ v3_group_1(sK4)
| ~ l1_group_1(sK4)
| ~ v1_group_1(sK4)
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK4)))
| spl25_23 ),
inference(superposition,[],[f598,f424]) ).
fof(f598,plain,
( ~ v1_funct_1(k6_autgroup(sK4,k2_group_1(sK4)))
| spl25_23 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f706,plain,
( spl25_18
| ~ spl25_8 ),
inference(avatar_split_clause,[],[f704,f489,f575]) ).
fof(f704,plain,
( m1_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl25_8 ),
inference(resolution,[],[f378,f491]) ).
fof(f671,plain,
spl25_26,
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f670,plain,
( $false
| spl25_26 ),
inference(resolution,[],[f667,f440]) ).
fof(f440,plain,
l1_struct_0(sK4),
inference(resolution,[],[f274,f292]) ).
fof(f292,plain,
l1_group_1(sK4),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( v3_group_1(sK4)
& ( sK5 != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),sK5,k6_autgroup(sK4,k2_group_1(sK4)))
| sK5 != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),k6_autgroup(sK4,k2_group_1(sK4)),sK5) )
& m2_fraenkel(sK5,u1_struct_0(sK4),u1_struct_0(sK4),k4_autgroup(sK4))
& l1_group_1(sK4)
& v1_group_1(sK4)
& v4_group_1(sK4)
& ~ v3_struct_0(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f149,f202,f201]) ).
fof(f201,plain,
( ? [X0] :
( v3_group_1(X0)
& ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v3_group_1(sK4)
& ? [X1] :
( ( k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),X1,k6_autgroup(sK4,k2_group_1(sK4))) != X1
| k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),k6_autgroup(sK4,k2_group_1(sK4)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(sK4),u1_struct_0(sK4),k4_autgroup(sK4)) )
& l1_group_1(sK4)
& v1_group_1(sK4)
& v4_group_1(sK4)
& ~ v3_struct_0(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
( ? [X1] :
( ( k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),X1,k6_autgroup(sK4,k2_group_1(sK4))) != X1
| k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),k6_autgroup(sK4,k2_group_1(sK4)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(sK4),u1_struct_0(sK4),k4_autgroup(sK4)) )
=> ( ( sK5 != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),sK5,k6_autgroup(sK4,k2_group_1(sK4)))
| sK5 != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),k6_autgroup(sK4,k2_group_1(sK4)),sK5) )
& m2_fraenkel(sK5,u1_struct_0(sK4),u1_struct_0(sK4),k4_autgroup(sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
? [X0] :
( v3_group_1(X0)
& ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
? [X0] :
( ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1 ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_autgroup) ).
fof(f274,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f667,plain,
( ~ l1_struct_0(sK4)
| spl25_26 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f665,plain,
( spl25_26
<=> l1_struct_0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_26])]) ).
fof(f668,plain,
( spl25_12
| ~ spl25_26
| ~ spl25_3 ),
inference(avatar_split_clause,[],[f657,f447,f665,f507]) ).
fof(f657,plain,
( ~ l1_struct_0(sK4)
| v3_struct_0(sK4)
| ~ spl25_3 ),
inference(resolution,[],[f449,f270]) ).
fof(f270,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f449,plain,
( v1_xboole_0(u1_struct_0(sK4))
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f656,plain,
~ spl25_12,
inference(avatar_contradiction_clause,[],[f655]) ).
fof(f655,plain,
( $false
| ~ spl25_12 ),
inference(resolution,[],[f509,f289]) ).
fof(f289,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f203]) ).
fof(f509,plain,
( v3_struct_0(sK4)
| ~ spl25_12 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f539,plain,
spl25_13,
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f538,plain,
( $false
| spl25_13 ),
inference(resolution,[],[f513,f292]) ).
fof(f513,plain,
( ~ l1_group_1(sK4)
| spl25_13 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f537,plain,
spl25_11,
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f536,plain,
( $false
| spl25_11 ),
inference(resolution,[],[f505,f291]) ).
fof(f291,plain,
v1_group_1(sK4),
inference(cnf_transformation,[],[f203]) ).
fof(f505,plain,
( ~ v1_group_1(sK4)
| spl25_11 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f530,plain,
spl25_10,
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f529,plain,
( $false
| spl25_10 ),
inference(resolution,[],[f501,f295]) ).
fof(f295,plain,
v3_group_1(sK4),
inference(cnf_transformation,[],[f203]) ).
fof(f501,plain,
( ~ v3_group_1(sK4)
| spl25_10 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f517,plain,
spl25_9,
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| spl25_9 ),
inference(resolution,[],[f497,f290]) ).
fof(f290,plain,
v4_group_1(sK4),
inference(cnf_transformation,[],[f203]) ).
fof(f497,plain,
( ~ v4_group_1(sK4)
| spl25_9 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f514,plain,
( ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| spl25_12
| ~ spl25_13
| spl25_4 ),
inference(avatar_split_clause,[],[f493,f451,f511,f507,f503,f499,f495]) ).
fof(f493,plain,
( ~ l1_group_1(sK4)
| v3_struct_0(sK4)
| ~ v1_group_1(sK4)
| ~ v3_group_1(sK4)
| ~ v4_group_1(sK4)
| spl25_4 ),
inference(resolution,[],[f324,f453]) ).
fof(f453,plain,
( ~ m1_fraenkel(k4_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| spl25_4 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f324,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v3_group_1(X0)
| ~ v1_group_1(X0) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f492,plain,
( spl25_8
| spl25_3
| ~ spl25_4 ),
inference(avatar_split_clause,[],[f483,f451,f447,f489]) ).
fof(f483,plain,
( ~ m1_fraenkel(k4_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| m2_relset_1(sK5,u1_struct_0(sK4),u1_struct_0(sK4)) ),
inference(resolution,[],[f334,f293]) ).
fof(f293,plain,
m2_fraenkel(sK5,u1_struct_0(sK4),u1_struct_0(sK4),k4_autgroup(sK4)),
inference(cnf_transformation,[],[f203]) ).
fof(f482,plain,
( spl25_3
| spl25_7
| ~ spl25_4 ),
inference(avatar_split_clause,[],[f473,f451,f479,f447]) ).
fof(f473,plain,
( ~ m1_fraenkel(k4_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| v1_funct_2(sK5,u1_struct_0(sK4),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4)) ),
inference(resolution,[],[f333,f293]) ).
fof(f468,plain,
( spl25_6
| ~ spl25_4
| spl25_3 ),
inference(avatar_split_clause,[],[f461,f447,f451,f465]) ).
fof(f461,plain,
( v1_xboole_0(u1_struct_0(sK4))
| ~ m1_fraenkel(k4_autgroup(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| m1_subset_1(sK5,k4_autgroup(sK4)) ),
inference(resolution,[],[f362,f293]) ).
fof(f437,plain,
( ~ spl25_1
| ~ spl25_2 ),
inference(avatar_split_clause,[],[f294,f434,f430]) ).
fof(f294,plain,
( sK5 != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),sK5,k6_autgroup(sK4,k2_group_1(sK4)))
| sK5 != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK4),u1_struct_0(sK4),k6_autgroup(sK4,k2_group_1(sK4)),sK5) ),
inference(cnf_transformation,[],[f203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP632+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.06/0.26 % Computer : n029.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Aug 29 22:47:26 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.10/0.35 % (1550)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.10/0.35 % (1527)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.10/0.36 % (1542)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.36 % (1530)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.36 % (1528)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.10/0.36 % (1532)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.10/0.36 % (1529)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.10/0.36 % (1531)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.10/0.36 % (1542)Instruction limit reached!
% 0.10/0.36 % (1542)------------------------------
% 0.10/0.36 % (1542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.36 % (1542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.36 % (1542)Termination reason: Unknown
% 0.10/0.36 % (1542)Termination phase: Saturation
% 0.10/0.36
% 0.10/0.36 % (1542)Memory used [KB]: 6140
% 0.10/0.36 % (1542)Time elapsed: 0.009 s
% 0.10/0.36 % (1542)Instructions burned: 7 (million)
% 0.10/0.36 % (1542)------------------------------
% 0.10/0.36 % (1542)------------------------------
% 0.10/0.37 % (1540)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.37 % (1534)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.10/0.37 % (1535)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.10/0.37 % (1529)Instruction limit reached!
% 0.10/0.37 % (1529)------------------------------
% 0.10/0.37 % (1529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.37 % (1529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.37 % (1529)Termination reason: Unknown
% 0.10/0.37 % (1529)Termination phase: Property scanning
% 0.10/0.37
% 0.10/0.37 % (1529)Memory used [KB]: 1663
% 0.10/0.37 % (1529)Time elapsed: 0.004 s
% 0.10/0.37 % (1529)Instructions burned: 4 (million)
% 0.10/0.37 % (1529)------------------------------
% 0.10/0.37 % (1529)------------------------------
% 0.10/0.38 % (1528)Refutation not found, incomplete strategy% (1528)------------------------------
% 0.10/0.38 % (1528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.38 % (1528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.38 % (1528)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.38
% 0.10/0.38 % (1528)Memory used [KB]: 6140
% 0.10/0.38 % (1528)Time elapsed: 0.068 s
% 0.10/0.38 % (1528)Instructions burned: 5 (million)
% 0.10/0.38 % (1528)------------------------------
% 0.10/0.38 % (1528)------------------------------
% 0.10/0.38 % (1530)Refutation not found, incomplete strategy% (1530)------------------------------
% 0.10/0.38 % (1530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.38 % (1530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.38 % (1530)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.38
% 0.10/0.38 % (1530)Memory used [KB]: 6140
% 0.10/0.38 % (1530)Time elapsed: 0.067 s
% 0.10/0.38 % (1530)Instructions burned: 5 (million)
% 0.10/0.38 % (1530)------------------------------
% 0.10/0.38 % (1530)------------------------------
% 0.10/0.38 % (1537)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.10/0.39 % (1549)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.10/0.39 % (1555)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.10/0.39 % (1551)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.39 % (1531)Instruction limit reached!
% 0.10/0.39 % (1531)------------------------------
% 0.10/0.39 % (1531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.39 % (1531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.39 % (1531)Termination reason: Unknown
% 0.10/0.39 % (1531)Termination phase: Saturation
% 0.10/0.39
% 0.10/0.39 % (1531)Memory used [KB]: 6268
% 0.10/0.39 % (1531)Time elapsed: 0.081 s
% 0.10/0.39 % (1531)Instructions burned: 13 (million)
% 0.10/0.39 % (1531)------------------------------
% 0.10/0.39 % (1531)------------------------------
% 0.10/0.39 % (1556)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.10/0.40 % (1533)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.10/0.40 % (1545)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.40 % (1545)Instruction limit reached!
% 0.10/0.40 % (1545)------------------------------
% 0.10/0.40 % (1545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.40 % (1545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.40 % (1545)Termination reason: Unknown
% 0.10/0.40 % (1545)Termination phase: Preprocessing 2
% 0.10/0.40
% 0.10/0.40 % (1545)Memory used [KB]: 1535
% 0.10/0.40 % (1545)Time elapsed: 0.003 s
% 0.10/0.40 % (1545)Instructions burned: 2 (million)
% 0.10/0.40 % (1545)------------------------------
% 0.10/0.40 % (1545)------------------------------
% 0.10/0.40 % (1547)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.10/0.40 % (1552)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.10/0.40 % (1555)Instruction limit reached!
% 0.10/0.40 % (1555)------------------------------
% 0.10/0.40 % (1555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.40 % (1555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.40 % (1555)Termination reason: Unknown
% 0.10/0.40 % (1555)Termination phase: Saturation
% 0.10/0.40
% 0.10/0.40 % (1555)Memory used [KB]: 1663
% 0.10/0.40 % (1543)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.40 % (1555)Time elapsed: 0.015 s
% 0.10/0.40 % (1555)Instructions burned: 8 (million)
% 0.10/0.40 % (1555)------------------------------
% 0.10/0.40 % (1555)------------------------------
% 0.10/0.41 % (1553)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.41 % (1537)Instruction limit reached!
% 0.10/0.41 % (1537)------------------------------
% 0.10/0.41 % (1537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.41 % (1537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.41 % (1537)Termination reason: Unknown
% 0.10/0.41 % (1537)Termination phase: Saturation
% 0.10/0.41
% 0.10/0.41 % (1537)Memory used [KB]: 6268
% 0.10/0.41 % (1537)Time elapsed: 0.111 s
% 0.10/0.41 % (1537)Instructions burned: 12 (million)
% 0.10/0.41 % (1537)------------------------------
% 0.10/0.41 % (1537)------------------------------
% 0.10/0.41 % (1548)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.42 % (1554)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.10/0.42 % (1544)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.10/0.42 % (1536)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.10/0.42 % (1541)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.10/0.42 % (1532)Instruction limit reached!
% 0.10/0.42 % (1532)------------------------------
% 0.10/0.42 % (1532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.42 % (1532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.42 % (1532)Termination reason: Unknown
% 0.10/0.42 % (1532)Termination phase: Saturation
% 0.10/0.42
% 0.10/0.42 % (1532)Memory used [KB]: 1791
% 0.10/0.42 % (1532)Time elapsed: 0.125 s
% 0.10/0.42 % (1532)Instructions burned: 15 (million)
% 0.10/0.42 % (1532)------------------------------
% 0.10/0.42 % (1532)------------------------------
% 0.10/0.42 % (1541)Instruction limit reached!
% 0.10/0.42 % (1541)------------------------------
% 0.10/0.42 % (1541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.42 % (1541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.42 % (1541)Termination reason: Unknown
% 0.10/0.42 % (1541)Termination phase: Clausification
% 0.10/0.42
% 0.10/0.42 % (1541)Memory used [KB]: 1535
% 0.10/0.42 % (1541)Time elapsed: 0.005 s
% 0.10/0.42 % (1541)Instructions burned: 4 (million)
% 0.10/0.42 % (1541)------------------------------
% 0.10/0.42 % (1541)------------------------------
% 0.10/0.43 % (1544)Instruction limit reached!
% 0.10/0.43 % (1544)------------------------------
% 0.10/0.43 % (1544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.43 % (1544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.43 % (1544)Termination reason: Unknown
% 0.10/0.43 % (1544)Termination phase: Naming
% 0.10/0.43
% 0.10/0.43 % (1544)Memory used [KB]: 1535
% 0.10/0.43 % (1544)Time elapsed: 0.005 s
% 0.10/0.43 % (1544)Instructions burned: 3 (million)
% 0.10/0.43 % (1544)------------------------------
% 0.10/0.43 % (1544)------------------------------
% 0.10/0.44 % (1534)Instruction limit reached!
% 0.10/0.44 % (1534)------------------------------
% 0.10/0.44 % (1534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.44 % (1553)Refutation not found, incomplete strategy% (1553)------------------------------
% 0.10/0.44 % (1553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.44 % (1553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.44 % (1553)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.44
% 0.10/0.44 % (1553)Memory used [KB]: 6524
% 0.10/0.44 % (1553)Time elapsed: 0.141 s
% 0.10/0.44 % (1553)Instructions burned: 10 (million)
% 0.10/0.44 % (1553)------------------------------
% 0.10/0.44 % (1553)------------------------------
% 0.10/0.45 % (1539)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.10/0.45 % (1550)Instruction limit reached!
% 0.10/0.45 % (1550)------------------------------
% 0.10/0.45 % (1550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.45 % (1550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.45 % (1550)Termination reason: Unknown
% 0.10/0.45 % (1550)Termination phase: Saturation
% 0.10/0.45
% 0.10/0.45 % (1550)Memory used [KB]: 2302
% 0.10/0.45 % (1550)Time elapsed: 0.133 s
% 0.10/0.45 % (1550)Instructions burned: 46 (million)
% 0.10/0.45 % (1550)------------------------------
% 0.10/0.45 % (1550)------------------------------
% 0.10/0.45 % (1534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.45 % (1534)Termination reason: Unknown
% 0.10/0.45 % (1534)Termination phase: Saturation
% 0.10/0.45
% 0.10/0.45 % (1534)Memory used [KB]: 6780
% 0.10/0.45 % (1534)Time elapsed: 0.116 s
% 0.10/0.45 % (1534)Instructions burned: 39 (million)
% 0.10/0.45 % (1534)------------------------------
% 0.10/0.45 % (1534)------------------------------
% 0.10/0.45 % (1538)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.46 % (1538)Instruction limit reached!
% 0.10/0.46 % (1538)------------------------------
% 0.10/0.46 % (1538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.46 % (1538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.46 % (1538)Termination reason: Unknown
% 0.10/0.46 % (1538)Termination phase: Saturation
% 0.10/0.46
% 0.10/0.46 % (1538)Memory used [KB]: 6140
% 0.10/0.46 % (1538)Time elapsed: 0.007 s
% 0.10/0.46 % (1538)Instructions burned: 7 (million)
% 0.10/0.46 % (1538)------------------------------
% 0.10/0.46 % (1538)------------------------------
% 0.10/0.46 % (1546)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.10/0.48 % (1556)Instruction limit reached!
% 0.10/0.48 % (1556)------------------------------
% 0.10/0.48 % (1556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.48 % (1556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.48 % (1556)Termination reason: Unknown
% 0.10/0.48 % (1556)Termination phase: Saturation
% 0.10/0.48
% 0.10/0.48 % (1556)Memory used [KB]: 6396
% 0.10/0.48 % (1556)Time elapsed: 0.161 s
% 0.10/0.48 % (1556)Instructions burned: 25 (million)
% 0.10/0.48 % (1556)------------------------------
% 0.10/0.48 % (1556)------------------------------
% 0.10/0.48 % (1539)Instruction limit reached!
% 0.10/0.48 % (1539)------------------------------
% 0.10/0.48 % (1539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.48 % (1539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.48 % (1539)Termination reason: Unknown
% 0.10/0.48 % (1539)Termination phase: Saturation
% 0.10/0.48
% 0.10/0.48 % (1539)Memory used [KB]: 1918
% 0.10/0.48 % (1539)Time elapsed: 0.177 s
% 0.10/0.48 % (1539)Instructions burned: 16 (million)
% 0.10/0.48 % (1539)------------------------------
% 0.10/0.48 % (1539)------------------------------
% 0.10/0.48 % (1546)Refutation not found, incomplete strategy% (1546)------------------------------
% 0.10/0.48 % (1546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.48 % (1546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.48 % (1546)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.48
% 0.10/0.48 % (1546)Memory used [KB]: 6140
% 0.10/0.48 % (1546)Time elapsed: 0.173 s
% 0.10/0.48 % (1546)Instructions burned: 7 (million)
% 0.10/0.48 % (1546)------------------------------
% 0.10/0.48 % (1546)------------------------------
% 0.10/0.48 % (1547)Instruction limit reached!
% 0.10/0.48 % (1547)------------------------------
% 0.10/0.48 % (1547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.48 % (1547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.48 % (1547)Termination reason: Unknown
% 0.10/0.48 % (1547)Termination phase: Saturation
% 0.10/0.48
% 0.10/0.48 % (1547)Memory used [KB]: 6524
% 0.10/0.48 % (1547)Time elapsed: 0.180 s
% 0.10/0.48 % (1547)Instructions burned: 31 (million)
% 0.10/0.48 % (1547)------------------------------
% 0.10/0.48 % (1547)------------------------------
% 0.10/0.49 % (1536)Instruction limit reached!
% 0.10/0.49 % (1536)------------------------------
% 0.10/0.49 % (1536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.49 % (1536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.49 % (1536)Termination reason: Unknown
% 0.10/0.49 % (1536)Termination phase: Saturation
% 0.10/0.49
% 0.10/0.49 % (1536)Memory used [KB]: 6780
% 0.10/0.49 % (1536)Time elapsed: 0.190 s
% 0.10/0.49 % (1536)Instructions burned: 33 (million)
% 0.10/0.49 % (1536)------------------------------
% 0.10/0.49 % (1536)------------------------------
% 0.10/0.49 % (1554)Instruction limit reached!
% 0.10/0.49 % (1554)------------------------------
% 0.10/0.49 % (1554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.49 % (1554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.49 % (1554)Termination reason: Unknown
% 0.10/0.49 % (1554)Termination phase: Saturation
% 0.10/0.49
% 0.10/0.49 % (1554)Memory used [KB]: 6652
% 0.10/0.49 % (1554)Time elapsed: 0.183 s
% 0.10/0.49 % (1554)Instructions burned: 25 (million)
% 0.10/0.49 % (1554)------------------------------
% 0.10/0.49 % (1554)------------------------------
% 0.10/0.50 % (1535)Instruction limit reached!
% 0.10/0.50 % (1535)------------------------------
% 0.10/0.50 % (1535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.50 % (1535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.50 % (1535)Termination reason: Unknown
% 0.10/0.50 % (1535)Termination phase: Saturation
% 0.10/0.50
% 0.10/0.50 % (1535)Memory used [KB]: 6908
% 0.10/0.50 % (1535)Time elapsed: 0.188 s
% 0.10/0.50 % (1535)Instructions burned: 49 (million)
% 0.10/0.50 % (1535)------------------------------
% 0.10/0.50 % (1535)------------------------------
% 0.10/0.51 % (1549)First to succeed.
% 0.10/0.52 % (1549)Refutation found. Thanks to Tanya!
% 0.10/0.52 % SZS status Theorem for theBenchmark
% 0.10/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.52 % (1549)------------------------------
% 0.10/0.52 % (1549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.52 % (1549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.52 % (1549)Termination reason: Refutation
% 0.10/0.52
% 0.10/0.52 % (1549)Memory used [KB]: 7036
% 0.10/0.52 % (1549)Time elapsed: 0.196 s
% 0.10/0.52 % (1549)Instructions burned: 41 (million)
% 0.10/0.52 % (1549)------------------------------
% 0.10/0.52 % (1549)------------------------------
% 0.10/0.52 % (1526)Success in time 0.24 s
%------------------------------------------------------------------------------