TSTP Solution File: GRP624+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP624+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 : n028.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 16:17:04 EDT 2022
% Result : Theorem 2.14s 0.71s
% Output : Refutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 33
% Syntax : Number of formulae : 147 ( 16 unt; 0 def)
% Number of atoms : 686 ( 46 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 896 ( 357 ~; 375 |; 111 &)
% ( 26 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 18 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-6 aty)
% Number of variables : 193 ( 170 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2375,plain,
$false,
inference(avatar_sat_refutation,[],[f496,f498,f501,f509,f534,f539,f545,f559,f563,f575,f584,f587,f755,f1741,f2347,f2369,f2371,f2374]) ).
fof(f2374,plain,
( ~ spl26_12
| spl26_15
| ~ spl26_13
| ~ spl26_11
| ~ spl26_14
| spl26_100 ),
inference(avatar_split_clause,[],[f2373,f1720,f487,f475,f483,f491,f479]) ).
fof(f479,plain,
( spl26_12
<=> v4_group_1(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).
fof(f491,plain,
( spl26_15
<=> v3_struct_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).
fof(f483,plain,
( spl26_13
<=> v1_group_1(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).
fof(f475,plain,
( spl26_11
<=> v3_group_1(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).
fof(f487,plain,
( spl26_14
<=> l1_group_1(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).
fof(f1720,plain,
( spl26_100
<=> v1_funct_2(k2_autgroup(sK13),k2_zfmisc_1(k1_autgroup(sK13),k1_autgroup(sK13)),k1_autgroup(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_100])]) ).
fof(f2373,plain,
( ~ l1_group_1(sK13)
| ~ v3_group_1(sK13)
| ~ v1_group_1(sK13)
| v3_struct_0(sK13)
| ~ v4_group_1(sK13)
| spl26_100 ),
inference(resolution,[],[f1722,f263]) ).
fof(f263,plain,
! [X0] :
( v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ( v1_funct_1(k2_autgroup(X0))
& m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) )
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ( v1_funct_1(k2_autgroup(X0))
& m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) )
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ( v3_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v1_group_1(X0) )
=> ( v1_funct_1(k2_autgroup(X0))
& m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_autgroup) ).
fof(f1722,plain,
( ~ v1_funct_2(k2_autgroup(sK13),k2_zfmisc_1(k1_autgroup(sK13),k1_autgroup(sK13)),k1_autgroup(sK13))
| spl26_100 ),
inference(avatar_component_clause,[],[f1720]) ).
fof(f2371,plain,
( ~ spl26_13
| ~ spl26_12
| ~ spl26_14
| spl26_15
| ~ spl26_11
| spl26_101 ),
inference(avatar_split_clause,[],[f2370,f1724,f475,f491,f487,f479,f483]) ).
fof(f1724,plain,
( spl26_101
<=> v1_funct_1(k2_autgroup(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_101])]) ).
fof(f2370,plain,
( ~ v3_group_1(sK13)
| v3_struct_0(sK13)
| ~ l1_group_1(sK13)
| ~ v4_group_1(sK13)
| ~ v1_group_1(sK13)
| spl26_101 ),
inference(resolution,[],[f1726,f265]) ).
fof(f265,plain,
! [X0] :
( v1_funct_1(k2_autgroup(X0))
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f1726,plain,
( ~ v1_funct_1(k2_autgroup(sK13))
| spl26_101 ),
inference(avatar_component_clause,[],[f1724]) ).
fof(f2369,plain,
( spl26_102
| ~ spl26_99 ),
inference(avatar_split_clause,[],[f2352,f1716,f1728]) ).
fof(f1728,plain,
( spl26_102
<=> m2_relset_1(k2_autgroup(sK13),k2_zfmisc_1(k1_autgroup(sK13),k1_autgroup(sK13)),k1_autgroup(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_102])]) ).
fof(f1716,plain,
( spl26_99
<=> m1_relset_1(k2_autgroup(sK13),k2_zfmisc_1(k1_autgroup(sK13),k1_autgroup(sK13)),k1_autgroup(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_99])]) ).
fof(f2352,plain,
( m2_relset_1(k2_autgroup(sK13),k2_zfmisc_1(k1_autgroup(sK13),k1_autgroup(sK13)),k1_autgroup(sK13))
| ~ spl26_99 ),
inference(resolution,[],[f1717,f375]) ).
fof(f375,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X1,X0,X2)
| m2_relset_1(X1,X0,X2) ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,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,[],[f254]) ).
fof(f254,plain,
! [X2,X1,X0] :
( ( m2_relset_1(X1,X2,X0)
| ~ m1_relset_1(X1,X2,X0) )
& ( m1_relset_1(X1,X2,X0)
| ~ m2_relset_1(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X2,X1,X0] :
( m2_relset_1(X1,X2,X0)
<=> m1_relset_1(X1,X2,X0) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
! [X1,X2,X0] :
( m1_relset_1(X2,X0,X1)
<=> m2_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1717,plain,
( m1_relset_1(k2_autgroup(sK13),k2_zfmisc_1(k1_autgroup(sK13),k1_autgroup(sK13)),k1_autgroup(sK13))
| ~ spl26_99 ),
inference(avatar_component_clause,[],[f1716]) ).
fof(f2347,plain,
( ~ spl26_11
| ~ spl26_12
| ~ spl26_14
| spl26_15
| ~ spl26_13
| spl26_99 ),
inference(avatar_split_clause,[],[f2341,f1716,f483,f491,f487,f479,f475]) ).
fof(f2341,plain,
( ~ v1_group_1(sK13)
| v3_struct_0(sK13)
| ~ l1_group_1(sK13)
| ~ v4_group_1(sK13)
| ~ v3_group_1(sK13)
| spl26_99 ),
inference(resolution,[],[f743,f1718]) ).
fof(f1718,plain,
( ~ m1_relset_1(k2_autgroup(sK13),k2_zfmisc_1(k1_autgroup(sK13),k1_autgroup(sK13)),k1_autgroup(sK13))
| spl26_99 ),
inference(avatar_component_clause,[],[f1716]) ).
fof(f743,plain,
! [X8] :
( m1_relset_1(k2_autgroup(X8),k2_zfmisc_1(k1_autgroup(X8),k1_autgroup(X8)),k1_autgroup(X8))
| ~ v3_group_1(X8)
| v3_struct_0(X8)
| ~ v4_group_1(X8)
| ~ l1_group_1(X8)
| ~ v1_group_1(X8) ),
inference(resolution,[],[f374,f264]) ).
fof(f264,plain,
! [X0] :
( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f374,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X0,X2)
| m1_relset_1(X1,X0,X2) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1741,plain,
( ~ spl26_17
| spl26_15
| ~ spl26_13
| ~ spl26_101
| ~ spl26_12
| ~ spl26_11
| ~ spl26_20
| spl26_32
| ~ spl26_16
| ~ spl26_19
| ~ spl26_100
| ~ spl26_99
| ~ spl26_102
| ~ spl26_14 ),
inference(avatar_split_clause,[],[f1740,f487,f1728,f1716,f1720,f556,f531,f715,f572,f475,f479,f1724,f483,f491,f536]) ).
fof(f536,plain,
( spl26_17
<=> m2_fraenkel(sK15,u1_struct_0(sK13),u1_struct_0(sK13),k1_autgroup(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).
fof(f572,plain,
( spl26_20
<=> m1_subset_1(sK15,k1_autgroup(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).
fof(f715,plain,
( spl26_32
<=> v1_xboole_0(k1_autgroup(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_32])]) ).
fof(f531,plain,
( spl26_16
<=> m2_fraenkel(sK14,u1_struct_0(sK13),u1_struct_0(sK13),k1_autgroup(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).
fof(f556,plain,
( spl26_19
<=> m1_subset_1(sK14,k1_autgroup(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).
fof(f1740,plain,
( ~ l1_group_1(sK13)
| ~ m2_relset_1(k2_autgroup(sK13),k2_zfmisc_1(k1_autgroup(sK13),k1_autgroup(sK13)),k1_autgroup(sK13))
| ~ m1_relset_1(k2_autgroup(sK13),k2_zfmisc_1(k1_autgroup(sK13),k1_autgroup(sK13)),k1_autgroup(sK13))
| ~ v1_funct_2(k2_autgroup(sK13),k2_zfmisc_1(k1_autgroup(sK13),k1_autgroup(sK13)),k1_autgroup(sK13))
| ~ m1_subset_1(sK14,k1_autgroup(sK13))
| ~ m2_fraenkel(sK14,u1_struct_0(sK13),u1_struct_0(sK13),k1_autgroup(sK13))
| v1_xboole_0(k1_autgroup(sK13))
| ~ m1_subset_1(sK15,k1_autgroup(sK13))
| ~ v3_group_1(sK13)
| ~ v4_group_1(sK13)
| ~ v1_funct_1(k2_autgroup(sK13))
| ~ v1_group_1(sK13)
| v3_struct_0(sK13)
| ~ m2_fraenkel(sK15,u1_struct_0(sK13),u1_struct_0(sK13),k1_autgroup(sK13)) ),
inference(trivial_inequality_removal,[],[f1733]) ).
fof(f1733,plain,
( ~ v1_group_1(sK13)
| v3_struct_0(sK13)
| ~ m1_relset_1(k2_autgroup(sK13),k2_zfmisc_1(k1_autgroup(sK13),k1_autgroup(sK13)),k1_autgroup(sK13))
| ~ v1_funct_1(k2_autgroup(sK13))
| v1_xboole_0(k1_autgroup(sK13))
| ~ m2_relset_1(k2_autgroup(sK13),k2_zfmisc_1(k1_autgroup(sK13),k1_autgroup(sK13)),k1_autgroup(sK13))
| k1_binop_1(k2_autgroup(sK13),sK14,sK15) != k1_binop_1(k2_autgroup(sK13),sK14,sK15)
| ~ m1_subset_1(sK14,k1_autgroup(sK13))
| ~ v3_group_1(sK13)
| ~ m1_subset_1(sK15,k1_autgroup(sK13))
| ~ l1_group_1(sK13)
| ~ m2_fraenkel(sK15,u1_struct_0(sK13),u1_struct_0(sK13),k1_autgroup(sK13))
| ~ v1_funct_2(k2_autgroup(sK13),k2_zfmisc_1(k1_autgroup(sK13),k1_autgroup(sK13)),k1_autgroup(sK13))
| ~ v4_group_1(sK13)
| ~ m2_fraenkel(sK14,u1_struct_0(sK13),u1_struct_0(sK13),k1_autgroup(sK13)) ),
inference(superposition,[],[f338,f632]) ).
fof(f632,plain,
! [X3,X4,X5] :
( k7_funct_2(u1_struct_0(X3),u1_struct_0(X3),u1_struct_0(X3),X5,X4) = k1_binop_1(k2_autgroup(X3),X4,X5)
| v3_struct_0(X3)
| ~ m2_fraenkel(X5,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))
| ~ v1_group_1(X3)
| ~ v4_group_1(X3)
| v1_xboole_0(k1_autgroup(X3))
| ~ m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))
| ~ m1_relset_1(k2_autgroup(X3),k2_zfmisc_1(k1_autgroup(X3),k1_autgroup(X3)),k1_autgroup(X3))
| ~ v1_funct_1(k2_autgroup(X3))
| ~ v1_funct_2(k2_autgroup(X3),k2_zfmisc_1(k1_autgroup(X3),k1_autgroup(X3)),k1_autgroup(X3))
| ~ m1_subset_1(X4,k1_autgroup(X3))
| ~ l1_group_1(X3)
| ~ m1_subset_1(X5,k1_autgroup(X3))
| ~ v3_group_1(X3)
| ~ m2_relset_1(k2_autgroup(X3),k2_zfmisc_1(k1_autgroup(X3),k1_autgroup(X3)),k1_autgroup(X3)) ),
inference(duplicate_literal_removal,[],[f628]) ).
fof(f628,plain,
! [X3,X4,X5] :
( ~ v4_group_1(X3)
| v3_struct_0(X3)
| ~ v1_group_1(X3)
| ~ m1_subset_1(X5,k1_autgroup(X3))
| ~ v3_group_1(X3)
| v1_xboole_0(k1_autgroup(X3))
| ~ m1_subset_1(X4,k1_autgroup(X3))
| ~ m2_fraenkel(X5,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))
| ~ m2_relset_1(k2_autgroup(X3),k2_zfmisc_1(k1_autgroup(X3),k1_autgroup(X3)),k1_autgroup(X3))
| ~ m1_relset_1(k2_autgroup(X3),k2_zfmisc_1(k1_autgroup(X3),k1_autgroup(X3)),k1_autgroup(X3))
| v1_xboole_0(k1_autgroup(X3))
| ~ v1_funct_2(k2_autgroup(X3),k2_zfmisc_1(k1_autgroup(X3),k1_autgroup(X3)),k1_autgroup(X3))
| k7_funct_2(u1_struct_0(X3),u1_struct_0(X3),u1_struct_0(X3),X5,X4) = k1_binop_1(k2_autgroup(X3),X4,X5)
| ~ l1_group_1(X3)
| ~ v1_funct_1(k2_autgroup(X3))
| ~ v1_funct_1(k2_autgroup(X3))
| ~ m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))
| ~ v1_funct_2(k2_autgroup(X3),k2_zfmisc_1(k1_autgroup(X3),k1_autgroup(X3)),k1_autgroup(X3)) ),
inference(superposition,[],[f383,f291]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X4,X5] :
( k2_binop_1(X2,X0,X5,X4,X1,X3) = k1_binop_1(X4,X1,X3)
| v1_xboole_0(X0)
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X0),X5)
| ~ m1_relset_1(X4,k2_zfmisc_1(X2,X0),X5)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m1_subset_1(X3,X0)
| v1_xboole_0(X2)
| v1_xboole_0(X0)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X4,k2_zfmisc_1(X2,X0),X5)
| k2_binop_1(X2,X0,X5,X4,X1,X3) = k1_binop_1(X4,X1,X3)
| ~ m1_subset_1(X1,X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X0),X5) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X2,X1,X5,X3,X4,X0] :
( ~ m1_subset_1(X3,X2)
| v1_xboole_0(X5)
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X4,k2_zfmisc_1(X5,X2),X0)
| k2_binop_1(X5,X2,X0,X4,X1,X3) = k1_binop_1(X4,X1,X3)
| ~ m1_subset_1(X1,X5)
| ~ v1_funct_2(X4,k2_zfmisc_1(X5,X2),X0) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X1,X2,X0,X5,X4,X3] :
( k2_binop_1(X5,X2,X0,X4,X1,X3) = k1_binop_1(X4,X1,X3)
| v1_xboole_0(X5)
| ~ v1_funct_2(X4,k2_zfmisc_1(X5,X2),X0)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X1,X5)
| ~ m1_subset_1(X3,X2)
| ~ m1_relset_1(X4,k2_zfmisc_1(X5,X2),X0)
| v1_xboole_0(X2) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
! [X1,X2,X0,X5,X4,X3] :
( ( ~ v1_xboole_0(X5)
& v1_funct_2(X4,k2_zfmisc_1(X5,X2),X0)
& v1_funct_1(X4)
& m1_subset_1(X1,X5)
& m1_subset_1(X3,X2)
& m1_relset_1(X4,k2_zfmisc_1(X5,X2),X0)
& ~ v1_xboole_0(X2) )
=> k2_binop_1(X5,X2,X0,X4,X1,X3) = k1_binop_1(X4,X1,X3) ),
inference(rectify,[],[f67]) ).
fof(f67,axiom,
! [X2,X4,X1,X5,X3,X0] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X4,X0)
& m1_subset_1(X5,X1)
& v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
& m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
& ~ v1_xboole_0(X1)
& v1_funct_1(X3) )
=> k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_binop_1) ).
fof(f383,plain,
! [X2,X3,X0] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X2,X3)
| ~ v1_funct_1(k2_autgroup(X0))
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v4_group_1(X0) ),
inference(equality_resolution,[],[f355]) ).
fof(f355,plain,
! [X2,X3,X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v1_funct_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| k2_autgroup(X0) != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ( ( ! [X2] :
( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ! [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
| k2_autgroup(X0) != X1 )
& ( k2_autgroup(X0) = X1
| ( m2_fraenkel(sK17(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),sK18(X0,X1),sK17(X0,X1)) != k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,sK17(X0,X1),sK18(X0,X1))
& m2_fraenkel(sK18(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ) )
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) )
| ~ v1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f234,f236,f235]) ).
fof(f235,plain,
! [X0,X1] :
( ? [X4] :
( m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& ? [X5] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X4,X5) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,X4)
& m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
=> ( m2_fraenkel(sK17(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& ? [X5] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,sK17(X0,X1)) != k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,sK17(X0,X1),X5)
& m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
! [X0,X1] :
( ? [X5] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,sK17(X0,X1)) != k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,sK17(X0,X1),X5)
& m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),sK18(X0,X1),sK17(X0,X1)) != k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,sK17(X0,X1),sK18(X0,X1))
& m2_fraenkel(sK18(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ( ( ! [X2] :
( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ! [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
| k2_autgroup(X0) != X1 )
& ( k2_autgroup(X0) = X1
| ? [X4] :
( m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& ? [X5] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X4,X5) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,X4)
& m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ) ) )
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) )
| ~ v1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(rectify,[],[f233]) ).
fof(f233,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ( ( ! [X2] :
( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ! [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
| k2_autgroup(X0) != X1 )
& ( k2_autgroup(X0) = X1
| ? [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& ? [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ) ) )
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) )
| ~ v1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(nnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ( ! [X2] :
( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ! [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
<=> k2_autgroup(X0) = X1 )
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) )
| ~ v1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ! [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
<=> k2_autgroup(X0) = X1 )
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) )
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( v1_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( ( v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& v1_funct_1(X1)
& m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) )
=> ( k2_autgroup(X0) = X1
<=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_autgroup) ).
fof(f338,plain,
k7_funct_2(u1_struct_0(sK13),u1_struct_0(sK13),u1_struct_0(sK13),sK15,sK14) != k1_binop_1(k2_autgroup(sK13),sK14,sK15),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
( v1_group_1(sK13)
& ~ v3_struct_0(sK13)
& l1_group_1(sK13)
& m2_fraenkel(sK14,u1_struct_0(sK13),u1_struct_0(sK13),k4_autgroup(sK13))
& m2_fraenkel(sK15,u1_struct_0(sK13),u1_struct_0(sK13),k4_autgroup(sK13))
& k7_funct_2(u1_struct_0(sK13),u1_struct_0(sK13),u1_struct_0(sK13),sK15,sK14) != k1_binop_1(k2_autgroup(sK13),sK14,sK15)
& v4_group_1(sK13)
& v3_group_1(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f116,f226,f225,f224]) ).
fof(f224,plain,
( ? [X0] :
( v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0)
& ? [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
& ? [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
& k1_binop_1(k2_autgroup(X0),X1,X2) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1) ) )
& v4_group_1(X0)
& v3_group_1(X0) )
=> ( v1_group_1(sK13)
& ~ v3_struct_0(sK13)
& l1_group_1(sK13)
& ? [X1] :
( m2_fraenkel(X1,u1_struct_0(sK13),u1_struct_0(sK13),k4_autgroup(sK13))
& ? [X2] :
( m2_fraenkel(X2,u1_struct_0(sK13),u1_struct_0(sK13),k4_autgroup(sK13))
& k7_funct_2(u1_struct_0(sK13),u1_struct_0(sK13),u1_struct_0(sK13),X2,X1) != k1_binop_1(k2_autgroup(sK13),X1,X2) ) )
& v4_group_1(sK13)
& v3_group_1(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
( ? [X1] :
( m2_fraenkel(X1,u1_struct_0(sK13),u1_struct_0(sK13),k4_autgroup(sK13))
& ? [X2] :
( m2_fraenkel(X2,u1_struct_0(sK13),u1_struct_0(sK13),k4_autgroup(sK13))
& k7_funct_2(u1_struct_0(sK13),u1_struct_0(sK13),u1_struct_0(sK13),X2,X1) != k1_binop_1(k2_autgroup(sK13),X1,X2) ) )
=> ( m2_fraenkel(sK14,u1_struct_0(sK13),u1_struct_0(sK13),k4_autgroup(sK13))
& ? [X2] :
( m2_fraenkel(X2,u1_struct_0(sK13),u1_struct_0(sK13),k4_autgroup(sK13))
& k1_binop_1(k2_autgroup(sK13),sK14,X2) != k7_funct_2(u1_struct_0(sK13),u1_struct_0(sK13),u1_struct_0(sK13),X2,sK14) ) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( ? [X2] :
( m2_fraenkel(X2,u1_struct_0(sK13),u1_struct_0(sK13),k4_autgroup(sK13))
& k1_binop_1(k2_autgroup(sK13),sK14,X2) != k7_funct_2(u1_struct_0(sK13),u1_struct_0(sK13),u1_struct_0(sK13),X2,sK14) )
=> ( m2_fraenkel(sK15,u1_struct_0(sK13),u1_struct_0(sK13),k4_autgroup(sK13))
& k7_funct_2(u1_struct_0(sK13),u1_struct_0(sK13),u1_struct_0(sK13),sK15,sK14) != k1_binop_1(k2_autgroup(sK13),sK14,sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
? [X0] :
( v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0)
& ? [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
& ? [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
& k1_binop_1(k2_autgroup(X0),X1,X2) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1) ) )
& v4_group_1(X0)
& v3_group_1(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
? [X0] :
( ? [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
& ? [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
& k1_binop_1(k2_autgroup(X0),X1,X2) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1) ) )
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v1_group_1(X0)
& v3_group_1(X0)
& v4_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))
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> k1_binop_1(k2_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v1_group_1(X0)
& v3_group_1(X0)
& v4_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))
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> k1_binop_1(k2_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_autgroup) ).
fof(f755,plain,
( ~ spl26_18
| ~ spl26_32 ),
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f748,plain,
( $false
| ~ spl26_18
| ~ spl26_32 ),
inference(resolution,[],[f717,f641]) ).
fof(f641,plain,
( ~ v1_xboole_0(k1_autgroup(sK13))
| ~ spl26_18 ),
inference(resolution,[],[f281,f552]) ).
fof(f552,plain,
( m1_fraenkel(k1_autgroup(sK13),u1_struct_0(sK13),u1_struct_0(sK13))
| ~ spl26_18 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f551,plain,
( spl26_18
<=> m1_fraenkel(k1_autgroup(sK13),u1_struct_0(sK13),u1_struct_0(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X2,X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2] :
( ~ m1_fraenkel(X0,X2,X1)
| ( ~ v1_xboole_0(X0)
& v1_fraenkel(X0) ) ),
inference(rectify,[],[f149]) ).
fof(f149,plain,
! [X1,X0,X2] :
( ~ m1_fraenkel(X1,X2,X0)
| ( ~ v1_xboole_0(X1)
& v1_fraenkel(X1) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X2,X0,X1] :
( m1_fraenkel(X1,X2,X0)
=> ( ~ v1_xboole_0(X1)
& v1_fraenkel(X1) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X2,X0] :
( m1_fraenkel(X2,X0,X1)
=> ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f717,plain,
( v1_xboole_0(k1_autgroup(sK13))
| ~ spl26_32 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f587,plain,
spl26_21,
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f586,plain,
( $false
| spl26_21 ),
inference(resolution,[],[f583,f388]) ).
fof(f388,plain,
l1_struct_0(sK13),
inference(resolution,[],[f371,f341]) ).
fof(f341,plain,
l1_group_1(sK13),
inference(cnf_transformation,[],[f227]) ).
fof(f371,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f583,plain,
( ~ l1_struct_0(sK13)
| spl26_21 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f581,plain,
( spl26_21
<=> l1_struct_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).
fof(f584,plain,
( ~ spl26_21
| spl26_15
| ~ spl26_1 ),
inference(avatar_split_clause,[],[f576,f399,f491,f581]) ).
fof(f399,plain,
( spl26_1
<=> v1_xboole_0(u1_struct_0(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f576,plain,
( v3_struct_0(sK13)
| ~ l1_struct_0(sK13)
| ~ spl26_1 ),
inference(resolution,[],[f401,f305]) ).
fof(f305,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,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(f401,plain,
( v1_xboole_0(u1_struct_0(sK13))
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f575,plain,
( spl26_20
| ~ spl26_18
| spl26_1
| ~ spl26_17 ),
inference(avatar_split_clause,[],[f566,f536,f399,f551,f572]) ).
fof(f566,plain,
( v1_xboole_0(u1_struct_0(sK13))
| ~ m1_fraenkel(k1_autgroup(sK13),u1_struct_0(sK13),u1_struct_0(sK13))
| m1_subset_1(sK15,k1_autgroup(sK13))
| ~ spl26_17 ),
inference(resolution,[],[f538,f365]) ).
fof(f365,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X2,X0,X1)
| v1_xboole_0(X0)
| ~ m1_fraenkel(X1,X2,X0)
| m1_subset_1(X3,X1) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m1_subset_1(X3,X1)
| ~ m2_fraenkel(X3,X2,X0,X1) )
& ( m2_fraenkel(X3,X2,X0,X1)
| ~ m1_subset_1(X3,X1) ) )
| ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X0) ),
inference(rectify,[],[f245]) ).
fof(f245,plain,
! [X2,X0,X1] :
( ! [X3] :
( ( m1_subset_1(X3,X0)
| ~ m2_fraenkel(X3,X1,X2,X0) )
& ( m2_fraenkel(X3,X1,X2,X0)
| ~ m1_subset_1(X3,X0) ) )
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) ),
inference(nnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ! [X3] :
( m1_subset_1(X3,X0)
<=> m2_fraenkel(X3,X1,X2,X0) )
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X2,X1,X0] :
( ! [X3] :
( m1_subset_1(X3,X0)
<=> m2_fraenkel(X3,X1,X2,X0) )
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,plain,
! [X2,X1,X0] :
( ( m1_fraenkel(X0,X1,X2)
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,X0)
<=> m2_fraenkel(X3,X1,X2,X0) ) ),
inference(rectify,[],[f69]) ).
fof(f69,axiom,
! [X2,X0,X1] :
( ( 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(f538,plain,
( m2_fraenkel(sK15,u1_struct_0(sK13),u1_struct_0(sK13),k1_autgroup(sK13))
| ~ spl26_17 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f563,plain,
( ~ spl26_13
| ~ spl26_11
| ~ spl26_12
| spl26_15
| ~ spl26_14
| spl26_18 ),
inference(avatar_split_clause,[],[f562,f551,f487,f491,f479,f475,f483]) ).
fof(f562,plain,
( ~ l1_group_1(sK13)
| v3_struct_0(sK13)
| ~ v4_group_1(sK13)
| ~ v3_group_1(sK13)
| ~ v1_group_1(sK13)
| spl26_18 ),
inference(resolution,[],[f553,f322]) ).
fof(f322,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ( v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0)
& v1_group_1(X0)
& v3_group_1(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f553,plain,
( ~ m1_fraenkel(k1_autgroup(sK13),u1_struct_0(sK13),u1_struct_0(sK13))
| spl26_18 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f559,plain,
( spl26_1
| ~ spl26_18
| spl26_19
| ~ spl26_16 ),
inference(avatar_split_clause,[],[f548,f531,f556,f551,f399]) ).
fof(f548,plain,
( m1_subset_1(sK14,k1_autgroup(sK13))
| ~ m1_fraenkel(k1_autgroup(sK13),u1_struct_0(sK13),u1_struct_0(sK13))
| v1_xboole_0(u1_struct_0(sK13))
| ~ spl26_16 ),
inference(resolution,[],[f533,f365]) ).
fof(f533,plain,
( m2_fraenkel(sK14,u1_struct_0(sK13),u1_struct_0(sK13),k1_autgroup(sK13))
| ~ spl26_16 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f545,plain,
~ spl26_15,
inference(avatar_contradiction_clause,[],[f544]) ).
fof(f544,plain,
( $false
| ~ spl26_15 ),
inference(resolution,[],[f493,f342]) ).
fof(f342,plain,
~ v3_struct_0(sK13),
inference(cnf_transformation,[],[f227]) ).
fof(f493,plain,
( v3_struct_0(sK13)
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f539,plain,
( ~ spl26_11
| ~ spl26_14
| ~ spl26_12
| spl26_17
| ~ spl26_13
| spl26_15 ),
inference(avatar_split_clause,[],[f526,f491,f483,f536,f479,f487,f475]) ).
fof(f526,plain,
( v3_struct_0(sK13)
| ~ v1_group_1(sK13)
| m2_fraenkel(sK15,u1_struct_0(sK13),u1_struct_0(sK13),k1_autgroup(sK13))
| ~ v4_group_1(sK13)
| ~ l1_group_1(sK13)
| ~ v3_group_1(sK13) ),
inference(resolution,[],[f285,f339]) ).
fof(f339,plain,
m2_fraenkel(sK15,u1_struct_0(sK13),u1_struct_0(sK13),k4_autgroup(sK13)),
inference(cnf_transformation,[],[f227]) ).
fof(f285,plain,
! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ l1_group_1(X0)
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( ( v3_group_1(X0)
& v4_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))
=> m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_autgroup) ).
fof(f534,plain,
( ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| spl26_16
| spl26_15 ),
inference(avatar_split_clause,[],[f527,f491,f531,f487,f483,f479,f475]) ).
fof(f527,plain,
( v3_struct_0(sK13)
| m2_fraenkel(sK14,u1_struct_0(sK13),u1_struct_0(sK13),k1_autgroup(sK13))
| ~ l1_group_1(sK13)
| ~ v1_group_1(sK13)
| ~ v4_group_1(sK13)
| ~ v3_group_1(sK13) ),
inference(resolution,[],[f285,f340]) ).
fof(f340,plain,
m2_fraenkel(sK14,u1_struct_0(sK13),u1_struct_0(sK13),k4_autgroup(sK13)),
inference(cnf_transformation,[],[f227]) ).
fof(f509,plain,
spl26_14,
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| spl26_14 ),
inference(resolution,[],[f489,f341]) ).
fof(f489,plain,
( ~ l1_group_1(sK13)
| spl26_14 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f501,plain,
spl26_13,
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f500,plain,
( $false
| spl26_13 ),
inference(resolution,[],[f485,f343]) ).
fof(f343,plain,
v1_group_1(sK13),
inference(cnf_transformation,[],[f227]) ).
fof(f485,plain,
( ~ v1_group_1(sK13)
| spl26_13 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f498,plain,
spl26_12,
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f497,plain,
( $false
| spl26_12 ),
inference(resolution,[],[f481,f337]) ).
fof(f337,plain,
v4_group_1(sK13),
inference(cnf_transformation,[],[f227]) ).
fof(f481,plain,
( ~ v4_group_1(sK13)
| spl26_12 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f496,plain,
spl26_11,
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f495,plain,
( $false
| spl26_11 ),
inference(resolution,[],[f477,f336]) ).
fof(f336,plain,
v3_group_1(sK13),
inference(cnf_transformation,[],[f227]) ).
fof(f477,plain,
( ~ v3_group_1(sK13)
| spl26_11 ),
inference(avatar_component_clause,[],[f475]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP624+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:44:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.54 % (8054)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)
% 0.19/0.54 % (8068)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)
% 0.19/0.54 % (8060)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)
% 0.19/0.54 % (8055)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)
% 0.19/0.54 % (8045)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.55 % (8046)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)
% 0.19/0.55 % (8057)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)
% 0.19/0.55 % (8060)Instruction limit reached!
% 0.19/0.55 % (8060)------------------------------
% 0.19/0.55 % (8060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (8060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (8060)Termination reason: Unknown
% 0.19/0.55 % (8060)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (8060)Memory used [KB]: 6140
% 0.19/0.55 % (8060)Time elapsed: 0.009 s
% 0.19/0.55 % (8060)Instructions burned: 7 (million)
% 0.19/0.55 % (8060)------------------------------
% 0.19/0.55 % (8060)------------------------------
% 0.19/0.55 % (8053)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)
% 0.19/0.55 % (8046)Refutation not found, incomplete strategy% (8046)------------------------------
% 0.19/0.55 % (8046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (8047)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)
% 0.19/0.56 % (8046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (8046)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (8046)Memory used [KB]: 6140
% 0.19/0.56 % (8046)Time elapsed: 0.131 s
% 0.19/0.56 % (8046)Instructions burned: 6 (million)
% 0.19/0.56 % (8046)------------------------------
% 0.19/0.56 % (8046)------------------------------
% 0.19/0.56 % (8072)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)
% 0.19/0.56 % (8070)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)
% 0.19/0.56 % (8050)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)
% 0.19/0.56 % (8047)Instruction limit reached!
% 0.19/0.56 % (8047)------------------------------
% 0.19/0.56 % (8047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (8047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (8047)Termination reason: Unknown
% 0.19/0.56 % (8047)Termination phase: Function definition elimination
% 0.19/0.56
% 0.19/0.56 % (8047)Memory used [KB]: 1663
% 0.19/0.56 % (8047)Time elapsed: 0.003 s
% 0.19/0.56 % (8047)Instructions burned: 5 (million)
% 0.19/0.56 % (8047)------------------------------
% 0.19/0.56 % (8047)------------------------------
% 0.19/0.56 % (8069)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)
% 0.19/0.56 % (8073)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)
% 0.19/0.56 % (8048)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)
% 0.19/0.56 % (8050)Refutation not found, incomplete strategy% (8050)------------------------------
% 0.19/0.56 % (8050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (8055)Instruction limit reached!
% 0.19/0.56 % (8055)------------------------------
% 0.19/0.56 % (8055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (8049)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)
% 0.19/0.56 % (8062)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.56 % (8048)Refutation not found, incomplete strategy% (8048)------------------------------
% 0.19/0.56 % (8048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (8048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (8048)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (8048)Memory used [KB]: 6140
% 0.19/0.56 % (8048)Time elapsed: 0.152 s
% 0.19/0.56 % (8048)Instructions burned: 6 (million)
% 0.19/0.56 % (8048)------------------------------
% 0.19/0.56 % (8048)------------------------------
% 0.19/0.57 % (8071)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)
% 0.19/0.57 % (8057)Instruction limit reached!
% 0.19/0.57 % (8057)------------------------------
% 0.19/0.57 % (8057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (8063)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)
% 0.19/0.57 % (8066)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)
% 0.19/0.57 % (8067)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)
% 0.19/0.57 % (8061)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.57 % (8055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (8055)Termination reason: Unknown
% 0.19/0.57 % (8055)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (8055)Memory used [KB]: 6268
% 0.19/0.57 % (8055)Time elapsed: 0.151 s
% 0.19/0.57 % (8055)Instructions burned: 13 (million)
% 0.19/0.57 % (8055)------------------------------
% 0.19/0.57 % (8055)------------------------------
% 0.19/0.57 % (8051)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)
% 0.19/0.57 % (8063)Instruction limit reached!
% 0.19/0.57 % (8063)------------------------------
% 0.19/0.57 % (8063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (8064)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)
% 0.19/0.57 % (8057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (8057)Termination reason: Unknown
% 0.19/0.57 % (8057)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (8057)Memory used [KB]: 1918
% 0.19/0.57 % (8057)Time elapsed: 0.093 s
% 0.19/0.57 % (8057)Instructions burned: 17 (million)
% 0.19/0.57 % (8057)------------------------------
% 0.19/0.57 % (8057)------------------------------
% 0.19/0.57 % (8074)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)
% 0.19/0.58 % (8050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (8050)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.58
% 0.19/0.58 % (8050)Memory used [KB]: 1791
% 0.19/0.58 % (8050)Time elapsed: 0.155 s
% 0.19/0.58 % (8050)Instructions burned: 10 (million)
% 0.19/0.58 % (8050)------------------------------
% 0.19/0.58 % (8050)------------------------------
% 0.19/0.58 % (8056)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)
% 0.19/0.58 % (8063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (8063)Termination reason: Unknown
% 0.19/0.58 % (8063)Termination phase: Naming
% 0.19/0.58
% 0.19/0.58 % (8063)Memory used [KB]: 1535
% 0.19/0.58 % (8063)Time elapsed: 0.003 s
% 0.19/0.58 % (8063)Instructions burned: 2 (million)
% 0.19/0.58 % (8063)------------------------------
% 0.19/0.58 % (8063)------------------------------
% 0.19/0.58 % (8058)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)
% 0.19/0.58 % (8052)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)
% 0.19/0.58 % (8059)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)
% 0.19/0.58 % (8059)Instruction limit reached!
% 0.19/0.58 % (8059)------------------------------
% 0.19/0.58 % (8059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (8073)Instruction limit reached!
% 0.19/0.58 % (8073)------------------------------
% 0.19/0.58 % (8073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.59 % (8049)Instruction limit reached!
% 1.86/0.59 % (8049)------------------------------
% 1.86/0.59 % (8049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.59 % (8065)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)
% 1.86/0.59 % (8062)Instruction limit reached!
% 1.86/0.59 % (8062)------------------------------
% 1.86/0.59 % (8062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.59 % (8062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.59 % (8062)Termination reason: Unknown
% 1.86/0.59 % (8062)Termination phase: Naming
% 1.86/0.59
% 1.86/0.59 % (8062)Memory used [KB]: 1535
% 1.86/0.59 % (8062)Time elapsed: 0.003 s
% 1.86/0.59 % (8062)Instructions burned: 3 (million)
% 1.86/0.59 % (8062)------------------------------
% 1.86/0.59 % (8062)------------------------------
% 1.86/0.59 % (8064)Refutation not found, incomplete strategy% (8064)------------------------------
% 1.86/0.59 % (8064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.59 % (8059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.59 % (8059)Termination reason: Unknown
% 1.86/0.59 % (8059)Termination phase: Preprocessing 3
% 1.86/0.59
% 1.86/0.59 % (8059)Memory used [KB]: 1535
% 1.86/0.59 % (8059)Time elapsed: 0.004 s
% 1.86/0.59 % (8059)Instructions burned: 3 (million)
% 1.86/0.59 % (8059)------------------------------
% 1.86/0.59 % (8059)------------------------------
% 1.86/0.59 % (8056)Instruction limit reached!
% 1.86/0.59 % (8056)------------------------------
% 1.86/0.59 % (8056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.59 % (8056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.59 % (8056)Termination reason: Unknown
% 1.86/0.59 % (8056)Termination phase: Saturation
% 1.86/0.59
% 1.86/0.59 % (8056)Memory used [KB]: 6140
% 1.86/0.59 % (8056)Time elapsed: 0.005 s
% 1.86/0.59 % (8056)Instructions burned: 7 (million)
% 1.86/0.59 % (8056)------------------------------
% 1.86/0.59 % (8056)------------------------------
% 1.86/0.59 % (8064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.59 % (8064)Termination reason: Refutation not found, incomplete strategy
% 1.86/0.59
% 1.86/0.59 % (8064)Memory used [KB]: 6140
% 1.86/0.59 % (8064)Time elapsed: 0.177 s
% 1.86/0.59 % (8064)Instructions burned: 8 (million)
% 1.86/0.59 % (8064)------------------------------
% 1.86/0.59 % (8064)------------------------------
% 1.86/0.60 % (8054)Instruction limit reached!
% 1.86/0.60 % (8054)------------------------------
% 1.86/0.60 % (8054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60 % (8054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60 % (8054)Termination reason: Unknown
% 1.86/0.60 % (8054)Termination phase: Saturation
% 1.86/0.60
% 1.86/0.60 % (8054)Memory used [KB]: 6652
% 1.86/0.60 % (8054)Time elapsed: 0.179 s
% 1.86/0.60 % (8054)Instructions burned: 34 (million)
% 1.86/0.60 % (8054)------------------------------
% 1.86/0.60 % (8054)------------------------------
% 1.86/0.60 % (8072)Instruction limit reached!
% 1.86/0.60 % (8072)------------------------------
% 1.86/0.60 % (8072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60 % (8049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60 % (8049)Termination reason: Unknown
% 1.86/0.60 % (8049)Termination phase: Saturation
% 1.86/0.60
% 1.86/0.60 % (8049)Memory used [KB]: 6268
% 1.86/0.60 % (8049)Time elapsed: 0.157 s
% 1.86/0.60 % (8049)Instructions burned: 13 (million)
% 1.86/0.60 % (8049)------------------------------
% 1.86/0.60 % (8049)------------------------------
% 1.86/0.60 % (8072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60 % (8072)Termination reason: Unknown
% 1.86/0.60 % (8072)Termination phase: Saturation
% 1.86/0.60
% 1.86/0.60 % (8072)Memory used [KB]: 6652
% 1.86/0.60 % (8072)Time elapsed: 0.189 s
% 1.86/0.60 % (8072)Instructions burned: 26 (million)
% 1.86/0.60 % (8072)------------------------------
% 1.86/0.60 % (8072)------------------------------
% 1.86/0.60 % (8073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60 % (8073)Termination reason: Unknown
% 1.86/0.60 % (8073)Termination phase: Saturation
% 1.86/0.60
% 1.86/0.60 % (8073)Memory used [KB]: 6268
% 1.86/0.60 % (8073)Time elapsed: 0.176 s
% 1.86/0.60 % (8073)Instructions burned: 9 (million)
% 1.86/0.60 % (8073)------------------------------
% 1.86/0.60 % (8073)------------------------------
% 1.86/0.60 % (8068)Instruction limit reached!
% 1.86/0.60 % (8068)------------------------------
% 1.86/0.60 % (8068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.61 % (8068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.61 % (8068)Termination reason: Unknown
% 2.05/0.61 % (8068)Termination phase: Saturation
% 2.05/0.61
% 2.05/0.61 % (8068)Memory used [KB]: 2302
% 2.05/0.61 % (8068)Time elapsed: 0.136 s
% 2.05/0.61 % (8068)Instructions burned: 45 (million)
% 2.05/0.61 % (8068)------------------------------
% 2.05/0.61 % (8068)------------------------------
% 2.05/0.62 % (8051)Instruction limit reached!
% 2.05/0.62 % (8051)------------------------------
% 2.05/0.62 % (8051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63 % (8074)Instruction limit reached!
% 2.05/0.63 % (8074)------------------------------
% 2.05/0.63 % (8074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63 % (8051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63 % (8051)Termination reason: Unknown
% 2.05/0.63 % (8051)Termination phase: Saturation
% 2.05/0.63
% 2.05/0.63 % (8051)Memory used [KB]: 6396
% 2.14/0.63 % (8051)Time elapsed: 0.212 s
% 2.14/0.63 % (8051)Instructions burned: 39 (million)
% 2.14/0.63 % (8051)------------------------------
% 2.14/0.63 % (8051)------------------------------
% 2.14/0.63 % (8074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.63 % (8074)Termination reason: Unknown
% 2.14/0.63 % (8074)Termination phase: Saturation
% 2.14/0.63
% 2.14/0.63 % (8074)Memory used [KB]: 6396
% 2.14/0.63 % (8074)Time elapsed: 0.216 s
% 2.14/0.63 % (8074)Instructions burned: 25 (million)
% 2.14/0.63 % (8074)------------------------------
% 2.14/0.63 % (8074)------------------------------
% 2.14/0.64 % (8053)Instruction limit reached!
% 2.14/0.64 % (8053)------------------------------
% 2.14/0.64 % (8053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64 % (8065)Instruction limit reached!
% 2.14/0.64 % (8065)------------------------------
% 2.14/0.64 % (8065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64 % (8053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.64 % (8053)Termination reason: Unknown
% 2.14/0.64 % (8053)Termination phase: Saturation
% 2.14/0.64
% 2.14/0.64 % (8053)Memory used [KB]: 7036
% 2.14/0.64 % (8053)Time elapsed: 0.234 s
% 2.14/0.64 % (8053)Instructions burned: 51 (million)
% 2.14/0.64 % (8053)------------------------------
% 2.14/0.64 % (8053)------------------------------
% 2.14/0.64 % (8065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.64 % (8065)Termination reason: Unknown
% 2.14/0.64 % (8065)Termination phase: Saturation
% 2.14/0.64
% 2.14/0.64 % (8065)Memory used [KB]: 6524
% 2.14/0.64 % (8065)Time elapsed: 0.226 s
% 2.14/0.64 % (8065)Instructions burned: 31 (million)
% 2.14/0.64 % (8065)------------------------------
% 2.14/0.64 % (8065)------------------------------
% 2.14/0.65 % (8052)Instruction limit reached!
% 2.14/0.65 % (8052)------------------------------
% 2.14/0.65 % (8052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.65 % (8058)Instruction limit reached!
% 2.14/0.65 % (8058)------------------------------
% 2.14/0.65 % (8058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.65 % (8058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.65 % (8058)Termination reason: Unknown
% 2.14/0.65 % (8058)Termination phase: Saturation
% 2.14/0.65
% 2.14/0.65 % (8058)Memory used [KB]: 7164
% 2.14/0.65 % (8058)Time elapsed: 0.230 s
% 2.14/0.65 % (8058)Instructions burned: 52 (million)
% 2.14/0.65 % (8058)------------------------------
% 2.14/0.65 % (8058)------------------------------
% 2.14/0.66 % (8069)Instruction limit reached!
% 2.14/0.66 % (8069)------------------------------
% 2.14/0.66 % (8069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.66 % (8069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.66 % (8052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.66 % (8052)Termination reason: Unknown
% 2.14/0.66 % (8052)Termination phase: Saturation
% 2.14/0.66
% 2.14/0.66 % (8052)Memory used [KB]: 6780
% 2.14/0.66 % (8052)Time elapsed: 0.237 s
% 2.14/0.66 % (8052)Instructions burned: 40 (million)
% 2.14/0.66 % (8052)------------------------------
% 2.14/0.66 % (8052)------------------------------
% 2.14/0.66 % (8069)Termination reason: Unknown
% 2.14/0.66 % (8069)Termination phase: Saturation
% 2.14/0.66
% 2.14/0.66 % (8069)Memory used [KB]: 6780
% 2.14/0.66 % (8069)Time elapsed: 0.255 s
% 2.14/0.66 % (8069)Instructions burned: 50 (million)
% 2.14/0.66 % (8069)------------------------------
% 2.14/0.66 % (8069)------------------------------
% 2.14/0.67 % (8061)Instruction limit reached!
% 2.14/0.67 % (8061)------------------------------
% 2.14/0.67 % (8061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.67 % (8061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.67 % (8061)Termination reason: Unknown
% 2.14/0.67 % (8061)Termination phase: Saturation
% 2.14/0.67
% 2.14/0.67 % (8061)Memory used [KB]: 7291
% 2.14/0.67 % (8061)Time elapsed: 0.258 s
% 2.14/0.67 % (8061)Instructions burned: 50 (million)
% 2.14/0.67 % (8061)------------------------------
% 2.14/0.67 % (8061)------------------------------
% 2.14/0.68 % (8067)First to succeed.
% 2.14/0.69 % (8086)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.14/0.69 % (8088)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.14/0.69 % (8104)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.14/0.69 % (8085)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.14/0.69 % (8106)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.14/0.70 % (8085)Refutation not found, incomplete strategy% (8085)------------------------------
% 2.14/0.70 % (8085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.70 % (8085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.70 % (8085)Termination reason: Refutation not found, incomplete strategy
% 2.14/0.70
% 2.14/0.70 % (8085)Memory used [KB]: 6140
% 2.14/0.70 % (8085)Time elapsed: 0.115 s
% 2.14/0.70 % (8085)Instructions burned: 4 (million)
% 2.14/0.70 % (8085)------------------------------
% 2.14/0.70 % (8085)------------------------------
% 2.14/0.70 % (8094)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 2.14/0.70 % (8087)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 2.14/0.70 % (8095)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.14/0.70 % (8093)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.14/0.71 % (8067)Refutation found. Thanks to Tanya!
% 2.14/0.71 % SZS status Theorem for theBenchmark
% 2.14/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.14/0.71 % (8067)------------------------------
% 2.14/0.71 % (8067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.71 % (8067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.71 % (8067)Termination reason: Refutation
% 2.14/0.71
% 2.14/0.71 % (8067)Memory used [KB]: 7675
% 2.14/0.71 % (8067)Time elapsed: 0.262 s
% 2.14/0.71 % (8067)Instructions burned: 67 (million)
% 2.14/0.71 % (8067)------------------------------
% 2.14/0.71 % (8067)------------------------------
% 2.14/0.71 % (8044)Success in time 0.361 s
%------------------------------------------------------------------------------