TSTP Solution File: GRP621+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP621+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 02:23:06 EDT 2024
% Result : Theorem 59.28s 8.77s
% Output : CNFRefutation 59.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 24
% Syntax : Number of formulae : 206 ( 34 unt; 0 def)
% Number of atoms : 1465 ( 98 equ)
% Maximal formula atoms : 24 ( 7 avg)
% Number of connectives : 2157 ( 898 ~; 995 |; 208 &)
% ( 18 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 418 ( 8 sgn 245 !; 19 ?)
% 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),k1_autgroup(X0))
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> m2_fraenkel(k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_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),k1_autgroup(X0))
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> m2_fraenkel(k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f13,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) ) )
& ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_autgroup) ).
fof(f15,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(f21,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4)
& m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3)
& l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2)
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2))
& v1_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2))
& v1_funct_1(k8_group_6(X0,X1,X2,X3,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_group_6) ).
fof(f22,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f24,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(f27,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f40,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(f58,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& m1_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(f59,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4)
& m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3)
& l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2)
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> k8_group_6(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_group_6) ).
fof(f60,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(f61,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(f63,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f64,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f67,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,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X1,X0,X0)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X1) )
=> ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_autgroup) ).
fof(f70,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> ( ( v4_group_6(X4,X1,X2)
& v4_group_6(X3,X0,X1) )
=> v4_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t74_group_6) ).
fof(f73,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) ) )
& ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) ) ) ) ) ) ),
inference(rectify,[],[f13]) ).
fof(f78,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ m2_fraenkel(k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,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)) )
& 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)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f79,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ m2_fraenkel(k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,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)) )
& 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)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f78]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
| ~ m1_fraenkel(X1,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,[],[f73]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
| ~ m1_fraenkel(X1,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,[],[f96]) ).
fof(f100,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,[],[f15]) ).
fof(f101,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,[],[f100]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4] :
( ( m2_relset_1(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2))
& v1_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2))
& v1_funct_1(k8_group_6(X0,X1,X2,X3,X4)) )
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f107,plain,
! [X0,X1,X2,X3,X4] :
( ( m2_relset_1(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2))
& v1_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2))
& v1_funct_1(k8_group_6(X0,X1,X2,X3,X4)) )
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f110]) ).
fof(f120,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f121,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f120]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4] :
( k8_group_6(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4] :
( k8_group_6(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f130]) ).
fof(f132,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,[],[f60]) ).
fof(f133,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,[],[f132]) ).
fof(f134,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f135,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f136,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f135]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) )
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(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,[],[f67]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) )
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(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,[],[f140]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( v4_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2)
| ~ v4_group_6(X4,X1,X2)
| ~ v4_group_6(X3,X0,X1)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( v4_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2)
| ~ v4_group_6(X4,X1,X2)
| ~ v4_group_6(X3,X0,X1)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2) )
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f144]) ).
fof(f148,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2] :
( ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ( k1_autgroup(X0) = X1
<=> ( sP0(X0,X1)
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
| ~ m1_fraenkel(X1,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(definition_folding,[],[f97,f148]) ).
fof(f150,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ m2_fraenkel(k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,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)) )
& 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)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ~ m2_fraenkel(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),X2,X1),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& m2_fraenkel(X2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)) )
& m2_fraenkel(X1,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)) )
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& v1_group_1(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X1] :
( ? [X2] :
( ~ m2_fraenkel(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),X2,X1),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& m2_fraenkel(X2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)) )
& m2_fraenkel(X1,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)) )
=> ( ? [X2] :
( ~ m2_fraenkel(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),X2,sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& m2_fraenkel(X2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)) )
& m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ? [X2] :
( ~ m2_fraenkel(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),X2,sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& m2_fraenkel(X2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)) )
=> ( ~ m2_fraenkel(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& m2_fraenkel(sK3,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( ~ m2_fraenkel(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& m2_fraenkel(sK3,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& v1_group_1(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f79,f152,f151,f150]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( ( ( k1_autgroup(X0) = X1
| ~ sP0(X0,X1)
| ? [X3] :
( ( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
& ( ( sP0(X0,X1)
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,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(nnf_transformation,[],[f149]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ( ( k1_autgroup(X0) = X1
| ~ sP0(X0,X1)
| ? [X3] :
( ( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
& ( ( sP0(X0,X1)
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,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,[],[f159]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ( ( k1_autgroup(X0) = X1
| ~ sP0(X0,X1)
| ? [X2] :
( ( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
& ( ( sP0(X0,X1)
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,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(rectify,[],[f160]) ).
fof(f162,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
=> ( ( ~ m2_relset_1(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK5(X0,X1),X0,X0)
| ~ v1_funct_2(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK5(X0,X1)) )
& m2_fraenkel(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( ( ( k1_autgroup(X0) = X1
| ~ sP0(X0,X1)
| ( ( ~ m2_relset_1(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK5(X0,X1),X0,X0)
| ~ v1_funct_2(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK5(X0,X1)) )
& m2_fraenkel(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) ) )
& ( ( sP0(X0,X1)
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,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(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f161,f162]) ).
fof(f208,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,[],[f133]) ).
fof(f209,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,[],[f61]) ).
fof(f210,plain,
! [X0] :
( ! [X1] :
( ( ( r2_hidden(X1,k1_autgroup(X0))
| ~ v4_group_6(X1,X0,X0) )
& ( v4_group_6(X1,X0,X0)
| ~ r2_hidden(X1,k1_autgroup(X0)) ) )
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(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,[],[f141]) ).
fof(f211,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f153]) ).
fof(f212,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f153]) ).
fof(f213,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f153]) ).
fof(f214,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f153]) ).
fof(f215,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f153]) ).
fof(f216,plain,
m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f153]) ).
fof(f217,plain,
m2_fraenkel(sK3,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f153]) ).
fof(f218,plain,
~ m2_fraenkel(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f153]) ).
fof(f250,plain,
! [X3,X0,X1] :
( v1_group_6(X3,X0,X0)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,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,[],[f163]) ).
fof(f257,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,[],[f101]) ).
fof(f262,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_1(k8_group_6(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f263,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_2(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f264,plain,
! [X2,X3,X0,X1,X4] :
( v1_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f265,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f266,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f269,plain,
! [X2,X3,X0,X1] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f270,plain,
! [X2,X3,X0,X1] :
( v1_funct_2(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f271,plain,
! [X2,X3,X0,X1] :
( m2_relset_1(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f287,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X4] :
( k8_group_6(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f337,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,[],[f208]) ).
fof(f338,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,[],[f208]) ).
fof(f339,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f342,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f343,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f346,plain,
! [X0,X1] :
( v4_group_6(X1,X0,X0)
| ~ r2_hidden(X1,k1_autgroup(X0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(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,[],[f210]) ).
fof(f347,plain,
! [X0,X1] :
( r2_hidden(X1,k1_autgroup(X0))
| ~ v4_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(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,[],[f210]) ).
fof(f350,plain,
! [X2,X3,X0,X1,X4] :
( v4_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2)
| ~ v4_group_6(X4,X1,X2)
| ~ v4_group_6(X3,X0,X1)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f355,plain,
! [X3,X0] :
( v1_group_6(X3,X0,X0)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(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(equality_resolution,[],[f250]) ).
cnf(c_49,negated_conjecture,
~ m2_fraenkel(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f218]) ).
cnf(c_50,negated_conjecture,
m2_fraenkel(sK3,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f217]) ).
cnf(c_51,negated_conjecture,
m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f216]) ).
cnf(c_52,negated_conjecture,
l1_group_1(sK1),
inference(cnf_transformation,[],[f215]) ).
cnf(c_53,negated_conjecture,
v4_group_1(sK1),
inference(cnf_transformation,[],[f214]) ).
cnf(c_54,negated_conjecture,
v3_group_1(sK1),
inference(cnf_transformation,[],[f213]) ).
cnf(c_55,negated_conjecture,
v1_group_1(sK1),
inference(cnf_transformation,[],[f212]) ).
cnf(c_56,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f211]) ).
cnf(c_82,plain,
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v1_group_6(X0,X1,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f355]) ).
cnf(c_87,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,[],[f257]) ).
cnf(c_92,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_group_6(X0,X1,X2)
| ~ v1_group_6(X3,X2,X4)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X4)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X4)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| m2_relset_1(k8_group_6(X1,X2,X4,X0,X3),u1_struct_0(X1),u1_struct_0(X4))
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X4) ),
inference(cnf_transformation,[],[f265]) ).
cnf(c_93,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_group_6(X0,X1,X2)
| ~ v1_group_6(X3,X2,X4)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X4)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X4)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| v1_group_6(k8_group_6(X1,X2,X4,X0,X3),X1,X4)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X4) ),
inference(cnf_transformation,[],[f264]) ).
cnf(c_94,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_group_6(X0,X1,X2)
| ~ v1_group_6(X3,X2,X4)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X4)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X4)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| v1_funct_2(k8_group_6(X1,X2,X4,X0,X3),u1_struct_0(X1),u1_struct_0(X4))
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X4) ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_95,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_group_6(X0,X1,X2)
| ~ v1_group_6(X3,X2,X4)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X4)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X4)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| v1_funct_1(k8_group_6(X1,X2,X4,X0,X3))
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X4) ),
inference(cnf_transformation,[],[f262]) ).
cnf(c_96,plain,
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f266]) ).
cnf(c_98,plain,
( ~ m1_fraenkel(X0,X1,X2)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f267]) ).
cnf(c_99,plain,
( ~ m2_fraenkel(X0,X1,X2,X3)
| ~ m1_fraenkel(X3,X1,X2)
| m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f271]) ).
cnf(c_100,plain,
( ~ m2_fraenkel(X0,X1,X2,X3)
| ~ m1_fraenkel(X3,X1,X2)
| v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f270]) ).
cnf(c_101,plain,
( ~ m2_fraenkel(X0,X1,X2,X3)
| ~ m1_fraenkel(X3,X1,X2)
| v1_funct_1(X0)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f269]) ).
cnf(c_117,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f287]) ).
cnf(c_165,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X2,X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| k7_funct_2(X1,X2,X4,X0,X3) = k5_relat_1(X0,X3)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f335]) ).
cnf(c_166,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_group_6(X0,X1,X2)
| ~ v1_group_6(X3,X2,X4)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X4)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X4)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| k8_group_6(X1,X2,X4,X0,X3) = k5_relat_1(X0,X3)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X4) ),
inference(cnf_transformation,[],[f336]) ).
cnf(c_167,plain,
( ~ m1_fraenkel(X0,X1,X2)
| ~ m1_subset_1(X3,X0)
| m2_fraenkel(X3,X1,X2,X0)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f338]) ).
cnf(c_168,plain,
( ~ m2_fraenkel(X0,X1,X2,X3)
| ~ m1_fraenkel(X3,X1,X2)
| m1_subset_1(X0,X3)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f337]) ).
cnf(c_170,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_172,plain,
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f342]) ).
cnf(c_173,plain,
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f343]) ).
cnf(c_176,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X1)
| ~ v4_group_6(X0,X1,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ v1_funct_1(X0)
| r2_hidden(X0,k1_autgroup(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f347]) ).
cnf(c_177,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X1)
| ~ r2_hidden(X0,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ v1_funct_1(X0)
| v4_group_6(X0,X1,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f346]) ).
cnf(c_180,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_group_6(X0,X1,X2)
| ~ v1_group_6(X3,X2,X4)
| ~ v4_group_6(X0,X1,X2)
| ~ v4_group_6(X3,X2,X4)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X4)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X4)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| v4_group_6(k8_group_6(X1,X2,X4,X0,X3),X1,X4)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X4) ),
inference(cnf_transformation,[],[f350]) ).
cnf(c_189,plain,
( ~ l1_group_1(sK1)
| l1_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_210,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_236,plain,
( ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_285,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_170]) ).
cnf(c_309,plain,
( ~ v1_xboole_0(X0)
| ~ m1_fraenkel(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_98]) ).
cnf(c_310,plain,
( ~ m1_fraenkel(X0,X1,X2)
| ~ v1_xboole_0(X0) ),
inference(renaming,[status(thm)],[c_309]) ).
cnf(c_570,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ m1_relset_1(X3,X2,X4)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| k7_funct_2(X1,X2,X4,X0,X3) = k5_relat_1(X0,X3)
| v1_xboole_0(X2) ),
inference(bin_hyper_res,[status(thm)],[c_165,c_285]) ).
cnf(c_1007,plain,
( ~ m2_fraenkel(X0,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)
| v1_group_6(X0,X1,X1)
| v3_struct_0(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_82,c_87]) ).
cnf(c_2452,plain,
( u1_struct_0(X0) != X1
| u1_struct_0(X0) != X2
| k1_autgroup(X0) != X3
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| ~ v1_xboole_0(X3)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_87,c_310]) ).
cnf(c_2453,plain,
( ~ v1_xboole_0(k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2452]) ).
cnf(c_2454,plain,
( ~ v1_xboole_0(k1_autgroup(sK1))
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_2453]) ).
cnf(c_2737,plain,
( k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2) != X0
| u1_struct_0(sK1) != X1
| u1_struct_0(sK1) != X2
| k1_autgroup(sK1) != X3
| ~ m1_fraenkel(X3,X1,X2)
| ~ m1_subset_1(X0,X3)
| v1_xboole_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_49,c_167]) ).
cnf(c_2738,plain,
( ~ m1_subset_1(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2),k1_autgroup(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(unflattening,[status(thm)],[c_2737]) ).
cnf(c_2771,plain,
( u1_struct_0(X0) != u1_struct_0(sK1)
| k1_autgroup(X0) != k1_autgroup(sK1)
| X1 != sK3
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v1_group_6(X1,X0,X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_1007]) ).
cnf(c_2772,plain,
( u1_struct_0(X0) != u1_struct_0(sK1)
| k1_autgroup(X0) != k1_autgroup(sK1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v1_group_6(sK3,X0,X0)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2771]) ).
cnf(c_2773,plain,
( u1_struct_0(sK1) != u1_struct_0(sK1)
| k1_autgroup(sK1) != k1_autgroup(sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v1_group_6(sK3,sK1,sK1)
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_2772]) ).
cnf(c_2852,plain,
( u1_struct_0(sK1) != X0
| u1_struct_0(sK1) != X1
| k1_autgroup(sK1) != X2
| X3 != sK3
| ~ m1_fraenkel(X2,X0,X1)
| m1_subset_1(X3,X2)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_168]) ).
cnf(c_2853,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| m1_subset_1(sK3,k1_autgroup(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(unflattening,[status(thm)],[c_2852]) ).
cnf(c_2859,plain,
( u1_struct_0(sK1) != X0
| u1_struct_0(sK1) != X1
| k1_autgroup(sK1) != X2
| X3 != sK3
| ~ m1_fraenkel(X2,X0,X1)
| v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_101]) ).
cnf(c_2860,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| v1_funct_1(sK3) ),
inference(unflattening,[status(thm)],[c_2859]) ).
cnf(c_2866,plain,
( u1_struct_0(sK1) != X0
| u1_struct_0(sK1) != X1
| k1_autgroup(sK1) != X2
| X3 != sK3
| ~ m1_fraenkel(X2,X0,X1)
| v1_funct_2(X3,X0,X1)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_100]) ).
cnf(c_2867,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(unflattening,[status(thm)],[c_2866]) ).
cnf(c_2873,plain,
( u1_struct_0(sK1) != X0
| u1_struct_0(sK1) != X1
| k1_autgroup(sK1) != X2
| X3 != sK3
| ~ m1_fraenkel(X2,X0,X1)
| m2_relset_1(X3,X0,X1)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_99]) ).
cnf(c_2874,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(unflattening,[status(thm)],[c_2873]) ).
cnf(c_2907,plain,
( u1_struct_0(X0) != u1_struct_0(sK1)
| k1_autgroup(X0) != k1_autgroup(sK1)
| X1 != sK2
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v1_group_6(X1,X0,X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_1007]) ).
cnf(c_2908,plain,
( u1_struct_0(X0) != u1_struct_0(sK1)
| k1_autgroup(X0) != k1_autgroup(sK1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v1_group_6(sK2,X0,X0)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2907]) ).
cnf(c_2909,plain,
( u1_struct_0(sK1) != u1_struct_0(sK1)
| k1_autgroup(sK1) != k1_autgroup(sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v1_group_6(sK2,sK1,sK1)
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_2908]) ).
cnf(c_2988,plain,
( u1_struct_0(sK1) != X0
| u1_struct_0(sK1) != X1
| k1_autgroup(sK1) != X2
| X3 != sK2
| ~ m1_fraenkel(X2,X0,X1)
| m1_subset_1(X3,X2)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_168]) ).
cnf(c_2989,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| m1_subset_1(sK2,k1_autgroup(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(unflattening,[status(thm)],[c_2988]) ).
cnf(c_2995,plain,
( u1_struct_0(sK1) != X0
| u1_struct_0(sK1) != X1
| k1_autgroup(sK1) != X2
| X3 != sK2
| ~ m1_fraenkel(X2,X0,X1)
| v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_101]) ).
cnf(c_2996,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| v1_funct_1(sK2) ),
inference(unflattening,[status(thm)],[c_2995]) ).
cnf(c_3002,plain,
( u1_struct_0(sK1) != X0
| u1_struct_0(sK1) != X1
| k1_autgroup(sK1) != X2
| X3 != sK2
| ~ m1_fraenkel(X2,X0,X1)
| v1_funct_2(X3,X0,X1)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_100]) ).
cnf(c_3003,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(unflattening,[status(thm)],[c_3002]) ).
cnf(c_3009,plain,
( u1_struct_0(sK1) != X0
| u1_struct_0(sK1) != X1
| k1_autgroup(sK1) != X2
| X3 != sK2
| ~ m1_fraenkel(X2,X0,X1)
| m2_relset_1(X3,X0,X1)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_99]) ).
cnf(c_3010,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(unflattening,[status(thm)],[c_3009]) ).
cnf(c_12551,plain,
X0 = X0,
theory(equality) ).
cnf(c_12554,plain,
( X0 != X1
| u1_struct_0(X0) = u1_struct_0(X1) ),
theory(equality) ).
cnf(c_12556,plain,
( X0 != X1
| k1_autgroup(X0) = k1_autgroup(X1) ),
theory(equality) ).
cnf(c_12582,plain,
( sK1 != sK1
| u1_struct_0(sK1) = u1_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_12554]) ).
cnf(c_12584,plain,
( sK1 != sK1
| k1_autgroup(sK1) = k1_autgroup(sK1) ),
inference(instantiation,[status(thm)],[c_12556]) ).
cnf(c_12589,plain,
sK1 = sK1,
inference(instantiation,[status(thm)],[c_12551]) ).
cnf(c_15836,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_50,c_99]) ).
cnf(c_15837,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_51,c_99]) ).
cnf(c_15839,plain,
m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)),
inference(global_subsumption_just,[status(thm)],[c_15837,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_3010]) ).
cnf(c_15841,plain,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1)),
inference(global_subsumption_just,[status(thm)],[c_15836,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_2874]) ).
cnf(c_15870,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_50,c_100]) ).
cnf(c_15871,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_51,c_100]) ).
cnf(c_15873,plain,
v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1)),
inference(global_subsumption_just,[status(thm)],[c_15871,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_3003]) ).
cnf(c_15875,plain,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1)),
inference(global_subsumption_just,[status(thm)],[c_15870,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_2867]) ).
cnf(c_16008,plain,
( ~ m1_subset_1(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2),k1_autgroup(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_167,c_49]) ).
cnf(c_16014,plain,
~ m1_subset_1(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2),k1_autgroup(sK1)),
inference(global_subsumption_just,[status(thm)],[c_16008,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_2738]) ).
cnf(c_16027,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| m1_subset_1(sK3,k1_autgroup(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_50,c_168]) ).
cnf(c_16028,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| m1_subset_1(sK2,k1_autgroup(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_51,c_168]) ).
cnf(c_16032,plain,
m1_subset_1(sK2,k1_autgroup(sK1)),
inference(global_subsumption_just,[status(thm)],[c_16028,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_2989]) ).
cnf(c_16034,plain,
m1_subset_1(sK3,k1_autgroup(sK1)),
inference(global_subsumption_just,[status(thm)],[c_16027,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_2853]) ).
cnf(c_16460,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ r2_hidden(sK2,k1_autgroup(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| ~ v1_funct_1(sK2)
| v4_group_6(sK2,sK1,sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_15873,c_177]) ).
cnf(c_16479,plain,
( v4_group_6(sK2,sK1,sK1)
| ~ r2_hidden(sK2,k1_autgroup(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_16460,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_2909,c_2996,c_3010,c_12582,c_12584,c_12589,c_16460]) ).
cnf(c_16480,plain,
( ~ r2_hidden(sK2,k1_autgroup(sK1))
| v4_group_6(sK2,sK1,sK1) ),
inference(renaming,[status(thm)],[c_16479]) ).
cnf(c_16495,plain,
( ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ r2_hidden(sK3,k1_autgroup(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| ~ v1_funct_1(sK3)
| v4_group_6(sK3,sK1,sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_15875,c_177]) ).
cnf(c_16514,plain,
( v4_group_6(sK3,sK1,sK1)
| ~ r2_hidden(sK3,k1_autgroup(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_16495,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_2773,c_2860,c_2874,c_12582,c_12584,c_12589,c_16495]) ).
cnf(c_16515,plain,
( ~ r2_hidden(sK3,k1_autgroup(sK1))
| v4_group_6(sK3,sK1,sK1) ),
inference(renaming,[status(thm)],[c_16514]) ).
cnf(c_18644,plain,
m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1)),
inference(superposition,[status(thm)],[c_15841,c_170]) ).
cnf(c_18645,plain,
m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)),
inference(superposition,[status(thm)],[c_15839,c_170]) ).
cnf(c_18811,plain,
( ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(X1))
| ~ m1_relset_1(X0,u1_struct_0(sK1),u1_struct_0(X1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(X0,sK1,X1)
| ~ v1_group_6(sK3,sK1,sK1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_funct_1(X0)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_funct_1(sK3)
| k8_group_6(sK1,sK1,X1,sK3,X0) = k5_relat_1(sK3,X0)
| v3_struct_0(X1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_18644,c_166]) ).
cnf(c_18821,plain,
( v3_struct_0(X1)
| k8_group_6(sK1,sK1,X1,sK3,X0) = k5_relat_1(sK3,X0)
| ~ v1_funct_1(X0)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_relset_1(X0,u1_struct_0(sK1),u1_struct_0(X1))
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(X1))
| ~ v1_group_6(X0,sK1,X1) ),
inference(global_subsumption_just,[status(thm)],[c_18811,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_2773,c_2860,c_2867,c_12582,c_12584,c_12589,c_18811]) ).
cnf(c_18822,plain,
( ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(X1))
| ~ m1_relset_1(X0,u1_struct_0(sK1),u1_struct_0(X1))
| ~ v1_group_6(X0,sK1,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_funct_1(X0)
| k8_group_6(sK1,sK1,X1,sK3,X0) = k5_relat_1(sK3,X0)
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_18821]) ).
cnf(c_19048,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK1))
| ~ m2_relset_1(X0,X1,u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(sK2)
| k7_funct_2(X1,u1_struct_0(sK1),u1_struct_0(sK1),X0,sK2) = k5_relat_1(X0,sK2)
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_18645,c_570]) ).
cnf(c_19052,plain,
( k7_funct_2(X1,u1_struct_0(sK1),u1_struct_0(sK1),X0,sK2) = k5_relat_1(X0,sK2)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK1))
| ~ m2_relset_1(X0,X1,u1_struct_0(sK1))
| ~ v1_funct_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_19048,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_2996,c_3003,c_19048]) ).
cnf(c_19053,plain,
( ~ v1_funct_2(X0,X1,u1_struct_0(sK1))
| ~ m2_relset_1(X0,X1,u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| k7_funct_2(X1,u1_struct_0(sK1),u1_struct_0(sK1),X0,sK2) = k5_relat_1(X0,sK2) ),
inference(renaming,[status(thm)],[c_19052]) ).
cnf(c_19086,plain,
( r2_hidden(sK3,k1_autgroup(sK1))
| v1_xboole_0(k1_autgroup(sK1)) ),
inference(superposition,[status(thm)],[c_16034,c_173]) ).
cnf(c_19087,plain,
( r2_hidden(sK2,k1_autgroup(sK1))
| v1_xboole_0(k1_autgroup(sK1)) ),
inference(superposition,[status(thm)],[c_16032,c_173]) ).
cnf(c_21741,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_funct_1(sK2)
| k8_group_6(sK1,sK1,sK1,sK3,sK2) = k5_relat_1(sK3,sK2)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_18645,c_18822]) ).
cnf(c_21744,plain,
k8_group_6(sK1,sK1,sK1,sK3,sK2) = k5_relat_1(sK3,sK2),
inference(global_subsumption_just,[status(thm)],[c_21741,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_2909,c_2996,c_3003,c_12582,c_12584,c_12589,c_21741]) ).
cnf(c_22352,plain,
( ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2) = k5_relat_1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_15841,c_19053]) ).
cnf(c_22360,plain,
k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2) = k5_relat_1(sK3,sK2),
inference(global_subsumption_just,[status(thm)],[c_22352,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_2860,c_2867,c_22352]) ).
cnf(c_22416,plain,
~ m1_subset_1(k5_relat_1(sK3,sK2),k1_autgroup(sK1)),
inference(demodulation,[status(thm)],[c_16014,c_22360]) ).
cnf(c_23240,plain,
( ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ v4_group_6(sK3,sK1,sK1)
| ~ v4_group_6(sK2,sK1,sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_1(sK2)
| v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_21744,c_180]) ).
cnf(c_23241,plain,
( ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_1(sK2)
| v1_funct_1(k5_relat_1(sK3,sK2))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_21744,c_95]) ).
cnf(c_23242,plain,
( ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_1(sK2)
| v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_21744,c_94]) ).
cnf(c_23243,plain,
( ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_1(sK2)
| v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_21744,c_93]) ).
cnf(c_23244,plain,
( ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_1(sK2)
| m2_relset_1(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_21744,c_92]) ).
cnf(c_23260,plain,
v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1)),
inference(global_subsumption_just,[status(thm)],[c_23242,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_2773,c_2860,c_2867,c_2909,c_2996,c_3003,c_12582,c_12584,c_12589,c_18645,c_18644,c_23242]) ).
cnf(c_23639,plain,
( ~ m2_relset_1(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_23260,c_176]) ).
cnf(c_23655,plain,
r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1)),
inference(global_subsumption_just,[status(thm)],[c_23639,c_55,c_54,c_53,c_52,c_56,c_189,c_210,c_236,c_2454,c_2773,c_2860,c_2867,c_2874,c_2909,c_2996,c_3003,c_3010,c_12582,c_12584,c_12589,c_16480,c_16515,c_18645,c_18644,c_19087,c_19086,c_23241,c_23243,c_23244,c_23240,c_23639]) ).
cnf(c_23674,plain,
m1_subset_1(k5_relat_1(sK3,sK2),k1_autgroup(sK1)),
inference(superposition,[status(thm)],[c_23655,c_172]) ).
cnf(c_23676,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_23674,c_22416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP621+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n010.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 : Thu May 2 23:37:19 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 59.28/8.77 % SZS status Started for theBenchmark.p
% 59.28/8.77 % SZS status Theorem for theBenchmark.p
% 59.28/8.77
% 59.28/8.77 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 59.28/8.77
% 59.28/8.77 ------ iProver source info
% 59.28/8.77
% 59.28/8.77 git: date: 2024-05-02 19:28:25 +0000
% 59.28/8.77 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 59.28/8.77 git: non_committed_changes: false
% 59.28/8.77
% 59.28/8.77 ------ Parsing...
% 59.28/8.77 ------ Clausification by vclausify_rel & Parsing by iProver...
% 59.28/8.77
% 59.28/8.77 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 59.28/8.77
% 59.28/8.77 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 59.28/8.77
% 59.28/8.77 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 59.28/8.77 ------ Proving...
% 59.28/8.77 ------ Problem Properties
% 59.28/8.77
% 59.28/8.77
% 59.28/8.77 clauses 130
% 59.28/8.77 conjectures 8
% 59.28/8.77 EPR 54
% 59.28/8.77 Horn 88
% 59.28/8.77 unary 52
% 59.28/8.77 binary 21
% 59.28/8.77 lits 515
% 59.28/8.77 lits eq 11
% 59.28/8.77 fd_pure 0
% 59.28/8.77 fd_pseudo 0
% 59.28/8.77 fd_cond 1
% 59.28/8.77 fd_pseudo_cond 5
% 59.28/8.77 AC symbols 0
% 59.28/8.77
% 59.28/8.77 ------ Input Options Time Limit: Unbounded
% 59.28/8.77
% 59.28/8.77
% 59.28/8.77 ------
% 59.28/8.77 Current options:
% 59.28/8.77 ------
% 59.28/8.77
% 59.28/8.77
% 59.28/8.77
% 59.28/8.77
% 59.28/8.77 ------ Proving...
% 59.28/8.77
% 59.28/8.77
% 59.28/8.77 % SZS status Theorem for theBenchmark.p
% 59.28/8.77
% 59.28/8.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 59.28/8.77
% 59.28/8.79
%------------------------------------------------------------------------------