TSTP Solution File: GRP624+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP624+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 : Fri May 3 02:23:08 EDT 2024
% Result : Theorem 7.97s 1.69s
% Output : CNFRefutation 7.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 153 ( 29 unt; 0 def)
% Number of atoms : 703 ( 80 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 938 ( 388 ~; 414 |; 104 &)
% ( 7 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-6 aty)
% Number of variables : 265 ( 8 sgn 136 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_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(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_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(f15,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(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_funct_1(X1) )
=> ( 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(f18,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(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(f24,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(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))
& v1_funct_1(k2_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_autgroup) ).
fof(f28,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(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(f32,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f34,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f50,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f67,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,X1)
& m1_subset_1(X4,X0)
& m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> 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(f69,axiom,
! [X0,X1,X2] :
( ( 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(f70,axiom,
! [X0,X1,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(f72,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_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(f88,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( 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)
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f89,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( 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)
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f88]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( k2_autgroup(X0) = X1
<=> ! [X2] :
( ! [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_fraenkel(X2,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_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ( k2_autgroup(X0) = X1
<=> ! [X2] :
( ! [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_fraenkel(X2,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_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f108]) ).
fof(f112,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f113,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [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))
& v1_funct_1(k2_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f115,plain,
! [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))
& v1_funct_1(k2_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f114]) ).
fof(f118,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f119,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f118]) ).
fof(f124,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f136,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f137,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f136]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4,X5] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4,X5] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f142]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f146]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f148]) ).
fof(f160,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( 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)
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( k1_binop_1(k2_autgroup(sK0),X1,X2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X2,X1)
& m2_fraenkel(X2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
& m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& v1_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
( ? [X1] :
( ? [X2] :
( k1_binop_1(k2_autgroup(sK0),X1,X2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X2,X1)
& m2_fraenkel(X2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
& m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
=> ( ? [X2] :
( k1_binop_1(k2_autgroup(sK0),sK1,X2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X2,sK1)
& m2_fraenkel(X2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
& m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
( ? [X2] :
( k1_binop_1(k2_autgroup(sK0),sK1,X2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X2,sK1)
& m2_fraenkel(X2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
=> ( k1_binop_1(k2_autgroup(sK0),sK1,sK2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1)
& m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
( k1_binop_1(k2_autgroup(sK0),sK1,sK2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1)
& m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
& m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& v1_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f89,f162,f161,f160]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( ( ( k2_autgroup(X0) = X1
| ? [X2] :
( ? [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_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
& ( ! [X2] :
( ! [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_fraenkel(X2,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_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f109]) ).
fof(f165,plain,
! [X0] :
( ! [X1] :
( ( ( k2_autgroup(X0) = X1
| ? [X2] :
( ? [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_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
& ( ! [X4] :
( ! [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(X4,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_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f164]) ).
fof(f166,plain,
! [X0,X1] :
( ? [X2] :
( ? [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_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,sK3(X0,X1),X3) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,sK3(X0,X1))
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& m2_fraenkel(sK3(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X0,X1] :
( ? [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,sK3(X0,X1),X3) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,sK3(X0,X1))
& 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,sK3(X0,X1),sK4(X0,X1)) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),sK4(X0,X1),sK3(X0,X1))
& m2_fraenkel(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ( ( k2_autgroup(X0) = X1
| ( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,sK3(X0,X1),sK4(X0,X1)) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),sK4(X0,X1),sK3(X0,X1))
& m2_fraenkel(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(sK3(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
& ( ! [X4] :
( ! [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(X4,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_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f165,f167,f166]) ).
fof(f211,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(nnf_transformation,[],[f147]) ).
fof(f212,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f213,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f163]) ).
fof(f214,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f163]) ).
fof(f215,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f163]) ).
fof(f216,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f163]) ).
fof(f217,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f163]) ).
fof(f218,plain,
m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f163]) ).
fof(f219,plain,
m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f163]) ).
fof(f220,plain,
k1_binop_1(k2_autgroup(sK0),sK1,sK2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1),
inference(cnf_transformation,[],[f163]) ).
fof(f241,plain,
! [X0,X1,X4,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(X4,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_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f248,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f249,plain,
! [X0] :
( v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f250,plain,
! [X0] :
( v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f251,plain,
! [X0] :
( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f253,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f258,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f279,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f318,plain,
! [X2,X3,X0,X1,X4,X5] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f322,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f325,plain,
! [X0,X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f335,plain,
! [X0,X4,X5] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,X4) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X4,X5)
| ~ m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X4,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))
| ~ v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f241]) ).
cnf(c_49,negated_conjecture,
k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1) != k1_binop_1(k2_autgroup(sK0),sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
cnf(c_50,negated_conjecture,
m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f219]) ).
cnf(c_51,negated_conjecture,
m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f218]) ).
cnf(c_52,negated_conjecture,
l1_group_1(sK0),
inference(cnf_transformation,[],[f217]) ).
cnf(c_53,negated_conjecture,
v4_group_1(sK0),
inference(cnf_transformation,[],[f216]) ).
cnf(c_54,negated_conjecture,
v3_group_1(sK0),
inference(cnf_transformation,[],[f215]) ).
cnf(c_55,negated_conjecture,
v1_group_1(sK0),
inference(cnf_transformation,[],[f214]) ).
cnf(c_56,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f213]) ).
cnf(c_72,plain,
( ~ v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X2,X1) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,X2)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f335]) ).
cnf(c_75,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f248]) ).
cnf(c_76,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f251]) ).
cnf(c_77,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f250]) ).
cnf(c_78,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v1_funct_1(k2_autgroup(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f249]) ).
cnf(c_80,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f253]) ).
cnf(c_85,plain,
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f258]) ).
cnf(c_87,plain,
( ~ m1_fraenkel(X0,X1,X2)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f259]) ).
cnf(c_106,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f279]) ).
cnf(c_145,plain,
( ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ m1_subset_1(X4,X2)
| ~ m1_subset_1(X5,X1)
| ~ v1_funct_1(X0)
| k2_binop_1(X1,X2,X3,X0,X5,X4) = k1_binop_1(X0,X5,X4)
| v1_xboole_0(X1)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f318]) ).
cnf(c_147,plain,
( ~ m1_fraenkel(X0,X1,X2)
| ~ m1_subset_1(X3,X0)
| m2_fraenkel(X3,X1,X2,X0)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f321]) ).
cnf(c_148,plain,
( ~ m2_fraenkel(X0,X1,X2,X3)
| ~ m1_fraenkel(X3,X1,X2)
| m1_subset_1(X0,X3)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f320]) ).
cnf(c_150,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f322]) ).
cnf(c_152,plain,
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f325]) ).
cnf(c_167,plain,
( ~ l1_group_1(sK0)
| l1_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_188,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| ~ l1_struct_0(sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_106]) ).
cnf(c_206,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v1_funct_1(k2_autgroup(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_210,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_211,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_215,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v1_funct_2(k2_autgroup(sK0),k2_zfmisc_1(k1_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_216,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m2_relset_1(k2_autgroup(sK0),k2_zfmisc_1(k1_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_237,plain,
( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X2,X1) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,X2)
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_72,c_78,c_77,c_76,c_72]) ).
cnf(c_238,plain,
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X2,X0) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X0,X2)
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_237]) ).
cnf(c_266,plain,
( ~ v1_xboole_0(X0)
| ~ m1_fraenkel(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_87]) ).
cnf(c_267,plain,
( ~ m1_fraenkel(X0,X1,X2)
| ~ v1_xboole_0(X0) ),
inference(renaming,[status(thm)],[c_266]) ).
cnf(c_1784,plain,
( X0 != sK0
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_80]) ).
cnf(c_1785,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1784]) ).
cnf(c_1786,plain,
m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1785,c_55,c_54,c_53,c_52,c_56,c_210]) ).
cnf(c_1805,plain,
( X0 != sK0
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_76]) ).
cnf(c_1806,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m2_relset_1(k2_autgroup(sK0),k2_zfmisc_1(k1_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1805]) ).
cnf(c_1807,plain,
m2_relset_1(k2_autgroup(sK0),k2_zfmisc_1(k1_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1806,c_55,c_54,c_53,c_52,c_56,c_216]) ).
cnf(c_1812,plain,
( X0 != sK0
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_75]) ).
cnf(c_1813,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1812]) ).
cnf(c_1814,plain,
m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1813,c_55,c_54,c_53,c_52,c_56,c_211]) ).
cnf(c_1840,plain,
( X0 != sK0
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X2,X1) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,X2)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_238]) ).
cnf(c_1841,plain,
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X1,X0) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X0,X1)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1840]) ).
cnf(c_1843,plain,
( k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X1,X0) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X0,X1)
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1841,c_55,c_54,c_52,c_56,c_1841]) ).
cnf(c_1844,plain,
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X1,X0) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X0,X1) ),
inference(renaming,[status(thm)],[c_1843]) ).
cnf(c_1855,plain,
( X0 != sK0
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_152]) ).
cnf(c_1856,plain,
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1855]) ).
cnf(c_1858,plain,
( m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1856,c_55,c_54,c_52,c_56,c_1856]) ).
cnf(c_1859,plain,
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)) ),
inference(renaming,[status(thm)],[c_1858]) ).
cnf(c_2924,plain,
( u1_struct_0(sK0) != X1
| u1_struct_0(sK0) != X2
| k4_autgroup(sK0) != X0
| ~ m1_subset_1(X3,X0)
| m2_fraenkel(X3,X1,X2,X0)
| v1_xboole_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_147,c_1786]) ).
cnf(c_2925,plain,
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_2924]) ).
cnf(c_2927,plain,
( m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_2925,c_52,c_56,c_167,c_188,c_2925]) ).
cnf(c_2928,plain,
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(renaming,[status(thm)],[c_2927]) ).
cnf(c_2953,plain,
( u1_struct_0(sK0) != X1
| u1_struct_0(sK0) != X2
| k1_autgroup(sK0) != X0
| ~ m1_subset_1(X3,X0)
| m2_fraenkel(X3,X1,X2,X0)
| v1_xboole_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_147,c_1814]) ).
cnf(c_2954,plain,
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_2953]) ).
cnf(c_2956,plain,
( m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ m1_subset_1(X0,k1_autgroup(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_2954,c_52,c_56,c_167,c_188,c_2954]) ).
cnf(c_2957,plain,
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)) ),
inference(renaming,[status(thm)],[c_2956]) ).
cnf(c_2972,plain,
( u1_struct_0(sK0) != X1
| u1_struct_0(sK0) != X2
| k1_autgroup(sK0) != X0
| ~ v1_xboole_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_267,c_1814]) ).
cnf(c_2973,plain,
~ v1_xboole_0(k1_autgroup(sK0)),
inference(unflattening,[status(thm)],[c_2972]) ).
cnf(c_3088,plain,
( u1_struct_0(sK0) != X0
| u1_struct_0(sK0) != X1
| k4_autgroup(sK0) != X2
| ~ m2_fraenkel(X3,X0,X1,X2)
| m1_subset_1(X3,X2)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_148,c_1786]) ).
cnf(c_3089,plain,
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| m1_subset_1(X0,k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_3088]) ).
cnf(c_3091,plain,
( m1_subset_1(X0,k4_autgroup(sK0))
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_3089,c_52,c_56,c_167,c_188,c_3089]) ).
cnf(c_3092,plain,
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| m1_subset_1(X0,k4_autgroup(sK0)) ),
inference(renaming,[status(thm)],[c_3091]) ).
cnf(c_3136,plain,
( u1_struct_0(sK0) != X0
| u1_struct_0(sK0) != X1
| k1_autgroup(sK0) != X2
| ~ m2_fraenkel(X3,X0,X1,X2)
| m1_subset_1(X3,X2)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_148,c_1814]) ).
cnf(c_3137,plain,
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| m1_subset_1(X0,k1_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_3136]) ).
cnf(c_4655,plain,
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)) ),
inference(prop_impl_just,[status(thm)],[c_2957]) ).
cnf(c_4763,plain,
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m1_subset_1(X0,k1_autgroup(sK0)) ),
inference(prop_impl_just,[status(thm)],[c_52,c_56,c_167,c_188,c_1859,c_2928,c_3137]) ).
cnf(c_5046,plain,
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ m1_subset_1(X1,k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,X1) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X1,X0) ),
inference(bin_hyper_res,[status(thm)],[c_1844,c_4655]) ).
cnf(c_5880,plain,
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)) ),
inference(prop_impl_just,[status(thm)],[c_2957]) ).
cnf(c_5988,plain,
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m1_subset_1(X0,k1_autgroup(sK0)) ),
inference(prop_impl_just,[status(thm)],[c_4763]) ).
cnf(c_6270,plain,
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| ~ m1_subset_1(X1,k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,X1) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X1,X0) ),
inference(bin_hyper_res,[status(thm)],[c_5046,c_5880]) ).
cnf(c_7393,plain,
m1_relset_1(k2_autgroup(sK0),k2_zfmisc_1(k1_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0)),
inference(superposition,[status(thm)],[c_1807,c_150]) ).
cnf(c_7452,plain,
m1_subset_1(sK2,k4_autgroup(sK0)),
inference(superposition,[status(thm)],[c_50,c_3092]) ).
cnf(c_7453,plain,
m1_subset_1(sK1,k4_autgroup(sK0)),
inference(superposition,[status(thm)],[c_51,c_3092]) ).
cnf(c_7611,plain,
( ~ v1_funct_2(k2_autgroup(sK0),k2_zfmisc_1(k1_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0))
| ~ m1_subset_1(X0,k1_autgroup(sK0))
| ~ m1_subset_1(X1,k1_autgroup(sK0))
| ~ v1_funct_1(k2_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X1,X0) = k1_binop_1(k2_autgroup(sK0),X1,X0)
| v1_xboole_0(k1_autgroup(sK0)) ),
inference(superposition,[status(thm)],[c_7393,c_145]) ).
cnf(c_7633,plain,
m1_subset_1(sK1,k1_autgroup(sK0)),
inference(superposition,[status(thm)],[c_7453,c_5988]) ).
cnf(c_7635,plain,
m1_subset_1(sK2,k1_autgroup(sK0)),
inference(superposition,[status(thm)],[c_7452,c_5988]) ).
cnf(c_7942,plain,
( k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X1,X0) = k1_binop_1(k2_autgroup(sK0),X1,X0)
| ~ m1_subset_1(X0,k1_autgroup(sK0))
| ~ m1_subset_1(X1,k1_autgroup(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_7611,c_55,c_54,c_53,c_52,c_56,c_206,c_215,c_2973,c_7611]) ).
cnf(c_7943,plain,
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| ~ m1_subset_1(X1,k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X1,X0) = k1_binop_1(k2_autgroup(sK0),X1,X0) ),
inference(renaming,[status(thm)],[c_7942]) ).
cnf(c_7973,plain,
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,X0) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X0,sK1) ),
inference(superposition,[status(thm)],[c_7633,c_6270]) ).
cnf(c_7993,plain,
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2) = k1_binop_1(k2_autgroup(sK0),X0,sK2) ),
inference(superposition,[status(thm)],[c_7635,c_7943]) ).
cnf(c_9045,plain,
k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,sK2) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1),
inference(superposition,[status(thm)],[c_7635,c_7973]) ).
cnf(c_9056,plain,
k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,sK2) = k1_binop_1(k2_autgroup(sK0),sK1,sK2),
inference(superposition,[status(thm)],[c_7633,c_7993]) ).
cnf(c_12138,plain,
k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1) = k1_binop_1(k2_autgroup(sK0),sK1,sK2),
inference(superposition,[status(thm)],[c_9056,c_9045]) ).
cnf(c_12139,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_12138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP624+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 23:56:12 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.97/1.69 % SZS status Started for theBenchmark.p
% 7.97/1.69 % SZS status Theorem for theBenchmark.p
% 7.97/1.69
% 7.97/1.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.97/1.69
% 7.97/1.69 ------ iProver source info
% 7.97/1.69
% 7.97/1.69 git: date: 2024-05-02 19:28:25 +0000
% 7.97/1.69 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.97/1.69 git: non_committed_changes: false
% 7.97/1.69
% 7.97/1.69 ------ Parsing...
% 7.97/1.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.97/1.69
% 7.97/1.69 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e
% 7.97/1.69
% 7.97/1.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.97/1.69
% 7.97/1.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.97/1.69 ------ Proving...
% 7.97/1.69 ------ Problem Properties
% 7.97/1.69
% 7.97/1.69
% 7.97/1.69 clauses 142
% 7.97/1.69 conjectures 6
% 7.97/1.69 EPR 40
% 7.97/1.69 Horn 122
% 7.97/1.69 unary 66
% 7.97/1.69 binary 38
% 7.97/1.69 lits 310
% 7.97/1.69 lits eq 22
% 7.97/1.69 fd_pure 0
% 7.97/1.69 fd_pseudo 0
% 7.97/1.69 fd_cond 7
% 7.97/1.69 fd_pseudo_cond 3
% 7.97/1.69 AC symbols 0
% 7.97/1.69
% 7.97/1.69 ------ Input Options Time Limit: Unbounded
% 7.97/1.69
% 7.97/1.69
% 7.97/1.69 ------
% 7.97/1.69 Current options:
% 7.97/1.69 ------
% 7.97/1.69
% 7.97/1.69
% 7.97/1.69
% 7.97/1.69
% 7.97/1.69 ------ Proving...
% 7.97/1.69
% 7.97/1.69
% 7.97/1.69 ------ Proving...
% 7.97/1.69
% 7.97/1.69
% 7.97/1.69 % SZS status Theorem for theBenchmark.p
% 7.97/1.69
% 7.97/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.97/1.69
% 7.97/1.70
%------------------------------------------------------------------------------