%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP632+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:08 AM UTC 2026
% Result : Theorem 18.08s 3.63s
% Output : Refutation 21.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 40
% Syntax : Number of formulae : 415 ( 48 unt; 15 def)
% Number of atoms : 1873 ( 184 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 2566 (1108 ~;1252 |; 142 &)
% ( 25 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 16 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-5 aty)
% Number of variables : 414 ( 0 sgn 408 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f657,axiom,
! [X0] : k2_funct_1(k6_relat_1(X0)) = k6_relat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t67_funct_1) ).
fof(f973,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(f1215,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f1426,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m1_relset_1(X3,X0,X1)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2) )
=> 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(f1872,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f1874,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f2481,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f2649,axiom,
! [X0] :
( l1_group_1(X0)
=> ( ( ~ v3_struct_0(X0)
& v3_group_1(X0) )
=> ( ~ v3_struct_0(X0)
& v2_group_1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_group_1) ).
fof(f2664,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v2_group_1(X0)
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( X1 = k2_group_1(X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_group_1) ).
fof(f2766,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f2770,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f3263,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f3801,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f3803,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_autgroup) ).
fof(f3804,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f3805,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_autgroup) ).
fof(f3806,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_autgroup) ).
fof(f3822,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_partfun1(u1_struct_0(X0)) = k2_group_1(k3_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_autgroup) ).
fof(f3826,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(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(f3830,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_autgroup) ).
fof(f3832,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& v1_group_3(X1,k3_autgroup(X0))
& m1_group_2(X1,k3_autgroup(X0)) )
=> ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_autgroup) ).
fof(f3834,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
=> ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X4] :
( m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ( ( X1 = X3
& X2 = X4 )
=> k1_group_1(k5_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_autgroup) ).
fof(f3835,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_autgroup) ).
fof(f3839,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_autgroup) ).
fof(f3845,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_autgroup) ).
fof(f3846,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) = X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f3845]) ).
fof(f3866,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3801]) ).
fof(f3867,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3866]) ).
fof(f3870,plain,
! [X0] :
( ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3803]) ).
fof(f3871,plain,
! [X0] :
( ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3870]) ).
fof(f3872,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3804]) ).
fof(f3873,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3872]) ).
fof(f3874,plain,
! [X0] :
( ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3805]) ).
fof(f3875,plain,
! [X0] :
( ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3874]) ).
fof(f3876,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f3806]) ).
fof(f3877,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f3876]) ).
fof(f3906,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3822]) ).
fof(f3907,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3906]) ).
fof(f3914,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)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3826]) ).
fof(f3915,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)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3914]) ).
fof(f3922,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(k2_funct_1(X1),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)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3830]) ).
fof(f3923,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(k2_funct_1(X1),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)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3922]) ).
fof(f3926,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3832]) ).
fof(f3927,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3926]) ).
fof(f3928,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k1_group_1(k5_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3)
| X1 != X3
| X2 != X4
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0))) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3834]) ).
fof(f3929,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k1_group_1(k5_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3)
| X1 != X3
| X2 != X4
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0))) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3928]) ).
fof(f3930,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3835]) ).
fof(f3931,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3930]) ).
fof(f3938,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3839]) ).
fof(f3939,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3938]) ).
fof(f3950,plain,
? [X0] :
( ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f3846]) ).
fof(f3951,plain,
? [X0] :
( ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f3950]) ).
fof(f3953,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f1874]) ).
fof(f3954,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(flattening,[],[f3953]) ).
fof(f3957,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f1872]) ).
fof(f3958,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(flattening,[],[f3957]) ).
fof(f3982,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3263]) ).
fof(f3983,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3982]) ).
fof(f4255,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(ennf_transformation,[],[f1426]) ).
fof(f4256,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(flattening,[],[f4255]) ).
fof(f4305,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f2770]) ).
fof(f4306,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f4305]) ).
fof(f5137,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f2766]) ).
fof(f5145,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2481]) ).
fof(f5146,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f5145]) ).
fof(f5239,plain,
! [X0] :
( ! [X1] :
( ( X1 = k2_group_1(X0)
<=> ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f2664]) ).
fof(f5240,plain,
! [X0] :
( ! [X1] :
( ( X1 = k2_group_1(X0)
<=> ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5239]) ).
fof(f5243,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_group_1(X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f2649]) ).
fof(f5244,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_group_1(X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5243]) ).
fof(f5722,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k5_autgroup(X0)
| u1_struct_0(X1) != k4_autgroup(X0) )
& ( u1_struct_0(X1) = k4_autgroup(X0)
| k5_autgroup(X0) != X1 ) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f3927]) ).
fof(f5726,plain,
( ( sK23 != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,k2_group_1(sK22)),sK23)
| sK23 != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k6_autgroup(sK22,k2_group_1(sK22))) )
& m2_fraenkel(sK23,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
& ~ v3_struct_0(sK22)
& v1_group_1(sK22)
& v3_group_1(sK22)
& v4_group_1(sK22)
& l1_group_1(sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23]),skolemize(X0,sK22),skolemize(X1,sK23)],[f3951]) ).
fof(f5727,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) ) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(nnf_transformation,[],[f3954]) ).
fof(f5986,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,[],[f973]) ).
fof(f6111,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k2_group_1(X0)
| ? [X2] :
( ( k1_group_1(X0,X2,X1) != X2
| k1_group_1(X0,X1,X2) != X2 )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| k2_group_1(X0) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f5240]) ).
fof(f6112,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k2_group_1(X0)
| ? [X2] :
( ( k1_group_1(X0,X2,X1) != X2
| k1_group_1(X0,X1,X2) != X2 )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X3] :
( ( k1_group_1(X0,X3,X1) = X3
& k1_group_1(X0,X1,X3) = X3 )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| k2_group_1(X0) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f6111]) ).
fof(f6113,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k2_group_1(X0)
| ( ( sK268(X0,X1) != k1_group_1(X0,sK268(X0,X1),X1)
| sK268(X0,X1) != k1_group_1(X0,X1,sK268(X0,X1)) )
& m1_subset_1(sK268(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X3] :
( ( k1_group_1(X0,X3,X1) = X3
& k1_group_1(X0,X1,X3) = X3 )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| k2_group_1(X0) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK268]),skolemize(X2,sK268(X0,X1))],[f6112]) ).
fof(f6277,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3867]) ).
fof(f6281,plain,
! [X0] :
( l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3871]) ).
fof(f6283,plain,
! [X0] :
( v3_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3871]) ).
fof(f6285,plain,
! [X0] :
( ~ v3_struct_0(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3871]) ).
fof(f6286,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3873]) ).
fof(f6287,plain,
! [X0] :
( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3875]) ).
fof(f6288,plain,
! [X0] :
( v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3875]) ).
fof(f6289,plain,
! [X0] :
( v1_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3875]) ).
fof(f6290,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3877]) ).
fof(f6343,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_partfun1(u1_struct_0(X0)) = k2_group_1(k3_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3907]) ).
fof(f6355,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3915]) ).
fof(f6359,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3923]) ).
fof(f6361,plain,
! [X0,X1] :
( u1_struct_0(X1) = k4_autgroup(X0)
| k5_autgroup(X0) != X1
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5722]) ).
fof(f6363,plain,
! [X2,X3,X0,X1,X4] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3) = k1_group_1(k5_autgroup(X0),X1,X2)
| X1 != X3
| X2 != X4
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3929]) ).
fof(f6364,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3931]) ).
fof(f6370,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_partfun1(u1_struct_0(X0)) = k6_autgroup(X0,k2_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3939]) ).
fof(f6377,plain,
l1_group_1(sK22),
inference(cnf_transformation,[],[f5726]) ).
fof(f6378,plain,
v4_group_1(sK22),
inference(cnf_transformation,[],[f5726]) ).
fof(f6379,plain,
v3_group_1(sK22),
inference(cnf_transformation,[],[f5726]) ).
fof(f6380,plain,
v1_group_1(sK22),
inference(cnf_transformation,[],[f5726]) ).
fof(f6381,plain,
~ v3_struct_0(sK22),
inference(cnf_transformation,[],[f5726]) ).
fof(f6382,plain,
m2_fraenkel(sK23,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)),
inference(cnf_transformation,[],[f5726]) ).
fof(f6383,plain,
( sK23 != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,k2_group_1(sK22)),sK23)
| sK23 != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k6_autgroup(sK22,k2_group_1(sK22))) ),
inference(cnf_transformation,[],[f5726]) ).
fof(f6385,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| m1_subset_1(X3,X2) ),
inference(cnf_transformation,[],[f5727]) ).
fof(f6388,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f3958]) ).
fof(f6389,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| v1_funct_2(X3,X0,X1) ),
inference(cnf_transformation,[],[f3958]) ).
fof(f6390,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| v1_funct_1(X3) ),
inference(cnf_transformation,[],[f3958]) ).
fof(f6425,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| l1_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3983]) ).
fof(f6426,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| v3_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3983]) ).
fof(f6427,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3983]) ).
fof(f6585,plain,
! [X0] : k6_relat_1(X0) = k6_partfun1(X0),
inference(cnf_transformation,[],[f1215]) ).
fof(f6712,plain,
! [X0] : k6_relat_1(X0) = k2_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f657]) ).
fof(f6752,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| k5_relat_1(X3,X4) = k7_funct_2(X0,X1,X2,X3,X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f4256]) ).
fof(f6823,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f4306]) ).
fof(f7532,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5986]) ).
fof(f7795,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5137]) ).
fof(f7806,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f5146]) ).
fof(f7930,plain,
! [X3,X0,X1] :
( k1_group_1(X0,X1,X3) = X3
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_group_1(X0) != X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f6113]) ).
fof(f7931,plain,
! [X3,X0,X1] :
( k1_group_1(X0,X3,X1) = X3
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_group_1(X0) != X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f6113]) ).
fof(f7952,plain,
! [X0] :
( v2_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5244]) ).
fof(f8709,plain,
! [X0] : k6_partfun1(X0) = k2_funct_1(k6_partfun1(X0)),
inference(definition_unfolding,[],[f6712,f6585,f6585]) ).
fof(f9150,plain,
! [X0] :
( ~ v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
| ~ v1_group_1(k5_autgroup(X0))
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f6361]) ).
fof(f9151,plain,
! [X2,X3,X0,X4] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3) = k1_group_1(k5_autgroup(X0),X3,X2)
| X2 != X4
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k5_autgroup(X0)))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f6363]) ).
fof(f9152,plain,
! [X3,X0,X4] :
( ~ m1_subset_1(X3,u1_struct_0(k5_autgroup(X0)))
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m1_subset_1(X4,u1_struct_0(k5_autgroup(X0)))
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3) = k1_group_1(k5_autgroup(X0),X3,X4)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f9151]) ).
fof(f9327,plain,
! [X3,X0] :
( ~ v2_group_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| k1_group_1(X0,X3,k2_group_1(X0)) = X3
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f7931]) ).
fof(f9328,plain,
! [X3,X0] :
( ~ v2_group_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| k1_group_1(X0,k2_group_1(X0),X3) = X3
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f7930]) ).
fof(f9667,definition,
( spl346_9
<=> sK23 = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k6_autgroup(sK22,k2_group_1(sK22))) ),
introduced(definition,[new_symbols(definition,[spl346_9])],[avatar_definition]) ).
fof(f9668,plain,
( sK23 != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k6_autgroup(sK22,k2_group_1(sK22)))
| spl346_9 ),
inference(avatar_component_clause,[],[f9667]) ).
fof(f9670,definition,
( spl346_10
<=> sK23 = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,k2_group_1(sK22)),sK23) ),
introduced(definition,[new_symbols(definition,[spl346_10])],[avatar_definition]) ).
fof(f9671,plain,
( sK23 != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,k2_group_1(sK22)),sK23)
| spl346_10 ),
inference(avatar_component_clause,[],[f9670]) ).
fof(f9672,plain,
( ~ spl346_9
| ~ spl346_10 ),
inference(avatar_split_clause,[],[f6383,f9670,f9667]) ).
fof(f9785,plain,
( v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_autgroup(sK22,k2_group_1(sK22)) = k6_partfun1(u1_struct_0(sK22))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f6370,f6378]) ).
fof(f9786,plain,
( ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_autgroup(sK22,k2_group_1(sK22)) = k6_partfun1(u1_struct_0(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9785,f6381]) ).
fof(f9787,plain,
( ~ v3_group_1(sK22)
| k6_autgroup(sK22,k2_group_1(sK22)) = k6_partfun1(u1_struct_0(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9786,f6380]) ).
fof(f9788,plain,
( k6_autgroup(sK22,k2_group_1(sK22)) = k6_partfun1(u1_struct_0(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9787,f6379]) ).
fof(f9789,plain,
k6_autgroup(sK22,k2_group_1(sK22)) = k6_partfun1(u1_struct_0(sK22)),
inference(forward_subsumption_resolution,[],[f9788,f6377]) ).
fof(f9790,plain,
( sK23 != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_partfun1(u1_struct_0(sK22)),sK23)
| spl346_10 ),
inference(superposition,[],[f9671,f9789]) ).
fof(f9791,plain,
( v3_struct_0(sK22)
| m1_subset_1(k2_group_1(sK22),u1_struct_0(sK22)) ),
inference(resolution,[],[f6823,f6377]) ).
fof(f9792,plain,
m1_subset_1(k2_group_1(sK22),u1_struct_0(sK22)),
inference(forward_subsumption_resolution,[],[f9791,f6381]) ).
fof(f9805,plain,
( v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f6364,f6378]) ).
fof(f9806,plain,
( ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9805,f6381]) ).
fof(f9807,plain,
( ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9806,f6380]) ).
fof(f9808,plain,
( k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9807,f6379]) ).
fof(f9809,plain,
k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k5_autgroup(sK22)),
inference(forward_subsumption_resolution,[],[f9808,f6377]) ).
fof(f9815,plain,
( v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f6343,f6378]) ).
fof(f9816,plain,
( ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9815,f6381]) ).
fof(f9817,plain,
( ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9816,f6380]) ).
fof(f9818,plain,
( k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9817,f6379]) ).
fof(f9819,plain,
k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k3_autgroup(sK22)),
inference(forward_subsumption_resolution,[],[f9818,f6377]) ).
fof(f9821,plain,
k2_group_1(k5_autgroup(sK22)) = k2_group_1(k3_autgroup(sK22)),
inference(superposition,[],[f9809,f9819]) ).
fof(f9822,plain,
( sK23 != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k2_group_1(k3_autgroup(sK22)),sK23)
| spl346_10 ),
inference(superposition,[],[f9790,f9819]) ).
fof(f9837,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f6355,f6378]) ).
fof(f9838,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9837,f6381]) ).
fof(f9839,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ v3_group_1(sK22)
| m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9838,f6380]) ).
fof(f9840,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9839,f6379]) ).
fof(f9841,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22)) ),
inference(forward_subsumption_resolution,[],[f9840,f6377]) ).
fof(f9843,plain,
! [X0] :
( m2_fraenkel(k6_autgroup(sK22,X0),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) ),
inference(resolution,[],[f9841,f6290]) ).
fof(f9848,plain,
! [X0] :
( ~ v1_group_1(k5_autgroup(X0))
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f9150,f6288]) ).
fof(f9849,plain,
! [X0] :
( ~ v1_group_1(k5_autgroup(X0))
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(duplicate_literal_removal,[],[f9848]) ).
fof(f9961,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ l1_group_1(X1) ),
inference(resolution,[],[f6390,f6286]) ).
fof(f9963,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ l1_group_1(X1) ),
inference(resolution,[],[f6389,f6286]) ).
fof(f9971,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_funct_1(X1) ),
inference(resolution,[],[f6277,f6390]) ).
fof(f9989,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| v1_xboole_0(u1_struct_0(X1))
| m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ l1_group_1(X1) ),
inference(resolution,[],[f6388,f6286]) ).
fof(f9990,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| v1_xboole_0(u1_struct_0(X1))
| m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1) ),
inference(resolution,[],[f6388,f6277]) ).
fof(f9991,plain,
! [X0,X1] :
( ~ v3_group_1(X1)
| v1_xboole_0(u1_struct_0(X1))
| m1_subset_1(X0,k4_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(resolution,[],[f6385,f6286]) ).
fof(f10035,definition,
( spl346_32
<=> v3_struct_0(k5_autgroup(sK22)) ),
introduced(definition,[new_symbols(definition,[spl346_32])],[avatar_definition]) ).
fof(f10036,plain,
( v3_struct_0(k5_autgroup(sK22))
| ~ spl346_32 ),
inference(avatar_component_clause,[],[f10035]) ).
fof(f10047,plain,
! [X0] :
( m2_fraenkel(k6_autgroup(sK22,X0),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) ),
inference(forward_subsumption_resolution,[],[f9843,f6381]) ).
fof(f10048,plain,
! [X0] :
( k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f9849,f6289]) ).
fof(f10063,plain,
! [X0] :
( m2_fraenkel(k6_autgroup(sK22,X0),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) ),
inference(forward_subsumption_resolution,[],[f10047,f6380]) ).
fof(f10064,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f10048,f6287]) ).
fof(f10080,plain,
! [X0] :
( m2_fraenkel(k6_autgroup(sK22,X0),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) ),
inference(forward_subsumption_resolution,[],[f10063,f6379]) ).
fof(f10092,plain,
! [X0] :
( m2_fraenkel(k6_autgroup(sK22,X0),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) ),
inference(forward_subsumption_resolution,[],[f10080,f6378]) ).
fof(f10104,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| m2_fraenkel(k6_autgroup(sK22,X0),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22)) ),
inference(forward_subsumption_resolution,[],[f10092,f6377]) ).
fof(f10138,definition,
( spl346_35
<=> m2_fraenkel(k2_group_1(k3_autgroup(sK22)),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)) ),
introduced(definition,[new_symbols(definition,[spl346_35])],[avatar_definition]) ).
fof(f10139,plain,
( ~ m2_fraenkel(k2_group_1(k3_autgroup(sK22)),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| spl346_35 ),
inference(avatar_component_clause,[],[f10138]) ).
fof(f10144,plain,
( v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k4_autgroup(sK22) = u1_struct_0(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f10064,f6378]) ).
fof(f10150,plain,
( ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k4_autgroup(sK22) = u1_struct_0(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10144,f6381]) ).
fof(f10151,plain,
( ~ v3_group_1(sK22)
| k4_autgroup(sK22) = u1_struct_0(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10150,f6380]) ).
fof(f10152,plain,
( k4_autgroup(sK22) = u1_struct_0(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10151,f6379]) ).
fof(f10153,plain,
k4_autgroup(sK22) = u1_struct_0(k5_autgroup(sK22)),
inference(forward_subsumption_resolution,[],[f10152,f6377]) ).
fof(f10155,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(sK22))
| ~ m2_fraenkel(X1,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m1_subset_1(X1,k4_autgroup(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),X1,X0) = k1_group_1(k5_autgroup(sK22),X0,X1)
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(superposition,[],[f9152,f10153]) ).
fof(f10190,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(sK22))
| ~ m2_fraenkel(X1,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m1_subset_1(X1,k4_autgroup(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),X1,X0) = k1_group_1(k5_autgroup(sK22),X0,X1)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10155,f6381]) ).
fof(f10192,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(sK22))
| ~ m2_fraenkel(X1,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m1_subset_1(X1,k4_autgroup(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),X1,X0) = k1_group_1(k5_autgroup(sK22),X0,X1)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10190,f6380]) ).
fof(f10194,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(sK22))
| ~ m2_fraenkel(X1,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m1_subset_1(X1,k4_autgroup(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),X1,X0) = k1_group_1(k5_autgroup(sK22),X0,X1)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10192,f6379]) ).
fof(f10196,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(sK22))
| ~ m2_fraenkel(X1,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m1_subset_1(X1,k4_autgroup(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),X1,X0) = k1_group_1(k5_autgroup(sK22),X0,X1)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10194,f6378]) ).
fof(f10198,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k4_autgroup(sK22))
| ~ m2_fraenkel(X1,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m1_subset_1(X0,k4_autgroup(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),X1,X0) = k1_group_1(k5_autgroup(sK22),X0,X1) ),
inference(forward_subsumption_resolution,[],[f10196,f6377]) ).
fof(f10212,plain,
m2_fraenkel(k6_autgroup(sK22,k2_group_1(sK22)),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22)),
inference(resolution,[],[f10104,f9792]) ).
fof(f10213,plain,
m2_fraenkel(k6_partfun1(u1_struct_0(sK22)),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22)),
inference(forward_demodulation,[],[f10212,f9789]) ).
fof(f10214,plain,
m2_fraenkel(k2_group_1(k5_autgroup(sK22)),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22)),
inference(forward_demodulation,[],[f10213,f9809]) ).
fof(f10215,plain,
m2_fraenkel(k2_group_1(k3_autgroup(sK22)),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22)),
inference(forward_demodulation,[],[f10214,f9821]) ).
fof(f10344,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| v1_funct_2(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f9963,f6378]) ).
fof(f10353,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| v1_funct_2(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10344,f6381]) ).
fof(f10354,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| v1_funct_2(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ v3_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10353,f6380]) ).
fof(f10355,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| v1_funct_2(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10354,f6379]) ).
fof(f10356,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| v1_funct_2(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)) ),
inference(forward_subsumption_resolution,[],[f10355,f6377]) ).
fof(f10358,definition,
( spl346_71
<=> ! [X0] :
( v1_funct_2(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)) ) ),
introduced(definition,[new_symbols(definition,[spl346_71])],[avatar_definition]) ).
fof(f10359,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| v1_funct_2(X0,u1_struct_0(sK22),u1_struct_0(sK22)) )
| ~ spl346_71 ),
inference(avatar_component_clause,[],[f10358]) ).
fof(f10361,definition,
( spl346_72
<=> v1_xboole_0(u1_struct_0(sK22)) ),
introduced(definition,[new_symbols(definition,[spl346_72])],[avatar_definition]) ).
fof(f10362,plain,
( v1_xboole_0(u1_struct_0(sK22))
| ~ spl346_72 ),
inference(avatar_component_clause,[],[f10361]) ).
fof(f10363,plain,
( spl346_71
| spl346_72 ),
inference(avatar_split_clause,[],[f10356,f10361,f10358]) ).
fof(f10364,plain,
( v1_funct_2(sK23,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ spl346_71 ),
inference(resolution,[],[f10359,f6382]) ).
fof(f10365,plain,
( ! [X0] :
( v1_funct_2(k6_autgroup(sK22,X0),u1_struct_0(sK22),u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_71 ),
inference(resolution,[],[f10359,f6290]) ).
fof(f10366,plain,
( ! [X0] :
( v1_funct_2(k6_autgroup(sK22,X0),u1_struct_0(sK22),u1_struct_0(sK22))
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_71 ),
inference(forward_subsumption_resolution,[],[f10365,f6381]) ).
fof(f10367,plain,
( ! [X0] :
( v1_funct_2(k6_autgroup(sK22,X0),u1_struct_0(sK22),u1_struct_0(sK22))
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_71 ),
inference(forward_subsumption_resolution,[],[f10366,f6380]) ).
fof(f10368,plain,
( ! [X0] :
( v1_funct_2(k6_autgroup(sK22,X0),u1_struct_0(sK22),u1_struct_0(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_71 ),
inference(forward_subsumption_resolution,[],[f10367,f6379]) ).
fof(f10369,plain,
( ! [X0] :
( v1_funct_2(k6_autgroup(sK22,X0),u1_struct_0(sK22),u1_struct_0(sK22))
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_71 ),
inference(forward_subsumption_resolution,[],[f10368,f6378]) ).
fof(f10370,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| v1_funct_2(k6_autgroup(sK22,X0),u1_struct_0(sK22),u1_struct_0(sK22)) )
| ~ spl346_71 ),
inference(forward_subsumption_resolution,[],[f10369,f6377]) ).
fof(f10390,plain,
( v1_funct_2(k6_autgroup(sK22,k2_group_1(sK22)),u1_struct_0(sK22),u1_struct_0(sK22))
| ~ spl346_71 ),
inference(resolution,[],[f10370,f9792]) ).
fof(f10391,plain,
( v1_funct_2(k6_partfun1(u1_struct_0(sK22)),u1_struct_0(sK22),u1_struct_0(sK22))
| ~ spl346_71 ),
inference(forward_demodulation,[],[f10390,f9789]) ).
fof(f10392,plain,
( v1_funct_2(k2_group_1(k5_autgroup(sK22)),u1_struct_0(sK22),u1_struct_0(sK22))
| ~ spl346_71 ),
inference(forward_demodulation,[],[f10391,f9809]) ).
fof(f10393,plain,
( v1_funct_2(k2_group_1(k3_autgroup(sK22)),u1_struct_0(sK22),u1_struct_0(sK22))
| ~ spl346_71 ),
inference(forward_demodulation,[],[f10392,f9821]) ).
fof(f10439,plain,
( v3_struct_0(sK22)
| ~ l1_struct_0(sK22)
| ~ spl346_72 ),
inference(resolution,[],[f10362,f7806]) ).
fof(f10440,plain,
( ~ l1_struct_0(sK22)
| ~ spl346_72 ),
inference(forward_subsumption_resolution,[],[f10439,f6381]) ).
fof(f10442,plain,
( ~ l1_group_1(sK22)
| ~ spl346_72 ),
inference(resolution,[],[f10440,f7795]) ).
fof(f10444,plain,
( $false
| ~ spl346_72 ),
inference(forward_subsumption_resolution,[],[f10442,f6377]) ).
fof(f10445,plain,
~ spl346_72,
inference(avatar_contradiction_clause,[],[f10444]) ).
fof(f10460,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m2_relset_1(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f9989,f6378]) ).
fof(f10466,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m2_relset_1(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10460,f6381]) ).
fof(f10467,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m2_relset_1(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ v3_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10466,f6380]) ).
fof(f10468,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m2_relset_1(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10467,f6379]) ).
fof(f10469,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m2_relset_1(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)) ),
inference(forward_subsumption_resolution,[],[f10468,f6377]) ).
fof(f10471,definition,
( spl346_86
<=> ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)) ) ),
introduced(definition,[new_symbols(definition,[spl346_86])],[avatar_definition]) ).
fof(f10472,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| m2_relset_1(X0,u1_struct_0(sK22),u1_struct_0(sK22)) )
| ~ spl346_86 ),
inference(avatar_component_clause,[],[f10471]) ).
fof(f10473,plain,
( spl346_86
| spl346_72 ),
inference(avatar_split_clause,[],[f10469,f10361,f10471]) ).
fof(f10474,plain,
( m2_relset_1(sK23,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ spl346_86 ),
inference(resolution,[],[f10472,f6382]) ).
fof(f10482,plain,
( m1_relset_1(sK23,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ spl346_86 ),
inference(resolution,[],[f10474,f7532]) ).
fof(f10528,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| v1_funct_1(X0)
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f9961,f6378]) ).
fof(f10534,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| v1_funct_1(X0)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10528,f6381]) ).
fof(f10535,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| v1_funct_1(X0)
| ~ v3_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10534,f6380]) ).
fof(f10536,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| v1_funct_1(X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10535,f6379]) ).
fof(f10537,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| v1_funct_1(X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)) ),
inference(forward_subsumption_resolution,[],[f10536,f6377]) ).
fof(f10539,definition,
( spl346_90
<=> ! [X0] :
( v1_funct_1(X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)) ) ),
introduced(definition,[new_symbols(definition,[spl346_90])],[avatar_definition]) ).
fof(f10540,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| v1_funct_1(X0) )
| ~ spl346_90 ),
inference(avatar_component_clause,[],[f10539]) ).
fof(f10541,plain,
( spl346_90
| spl346_72 ),
inference(avatar_split_clause,[],[f10537,f10361,f10539]) ).
fof(f10542,plain,
( v1_funct_1(sK23)
| ~ spl346_90 ),
inference(resolution,[],[f10540,f6382]) ).
fof(f10550,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(sK23,X0,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0)
| ~ m1_relset_1(X1,X2,X0)
| k5_relat_1(X1,sK23) = k7_funct_2(X2,X0,X3,X1,sK23)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK23,X0,X3) )
| ~ spl346_90 ),
inference(resolution,[],[f10542,f6752]) ).
fof(f10715,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m2_relset_1(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f9990,f6378]) ).
fof(f10721,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m2_relset_1(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10715,f6381]) ).
fof(f10722,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m2_relset_1(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ v3_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10721,f6380]) ).
fof(f10723,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m2_relset_1(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10722,f6379]) ).
fof(f10724,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m2_relset_1(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22)) ),
inference(forward_subsumption_resolution,[],[f10723,f6377]) ).
fof(f10726,definition,
( spl346_100
<=> ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK22),u1_struct_0(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22)) ) ),
introduced(definition,[new_symbols(definition,[spl346_100])],[avatar_definition]) ).
fof(f10727,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| m2_relset_1(X0,u1_struct_0(sK22),u1_struct_0(sK22)) )
| ~ spl346_100 ),
inference(avatar_component_clause,[],[f10726]) ).
fof(f10728,plain,
( spl346_100
| spl346_72 ),
inference(avatar_split_clause,[],[f10724,f10361,f10726]) ).
fof(f10730,plain,
( m2_relset_1(k2_group_1(k3_autgroup(sK22)),u1_struct_0(sK22),u1_struct_0(sK22))
| ~ spl346_100 ),
inference(resolution,[],[f10727,f10215]) ).
fof(f10924,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m1_subset_1(X0,k4_autgroup(sK22))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f9991,f6379]) ).
fof(f10927,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m1_subset_1(X0,k4_autgroup(sK22))
| ~ v1_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10924,f6381]) ).
fof(f10929,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m1_subset_1(X0,k4_autgroup(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10927,f6380]) ).
fof(f10931,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m1_subset_1(X0,k4_autgroup(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10929,f6378]) ).
fof(f10933,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK22))
| m1_subset_1(X0,k4_autgroup(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)) ),
inference(forward_subsumption_resolution,[],[f10931,f6377]) ).
fof(f10935,definition,
( spl346_137
<=> ! [X0] :
( m1_subset_1(X0,k4_autgroup(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)) ) ),
introduced(definition,[new_symbols(definition,[spl346_137])],[avatar_definition]) ).
fof(f10936,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| m1_subset_1(X0,k4_autgroup(sK22)) )
| ~ spl346_137 ),
inference(avatar_component_clause,[],[f10935]) ).
fof(f10937,plain,
( spl346_137
| spl346_72 ),
inference(avatar_split_clause,[],[f10933,f10361,f10935]) ).
fof(f10940,plain,
( ! [X0] :
( m1_subset_1(k6_autgroup(sK22,X0),k4_autgroup(sK22))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_137 ),
inference(resolution,[],[f10936,f6290]) ).
fof(f10941,plain,
( m1_subset_1(sK23,k4_autgroup(sK22))
| ~ spl346_137 ),
inference(resolution,[],[f10936,f6382]) ).
fof(f10942,plain,
( ! [X0] :
( m1_subset_1(k6_autgroup(sK22,X0),k4_autgroup(sK22))
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_137 ),
inference(forward_subsumption_resolution,[],[f10940,f6381]) ).
fof(f10944,plain,
( ! [X0] :
( m1_subset_1(k6_autgroup(sK22,X0),k4_autgroup(sK22))
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_137 ),
inference(forward_subsumption_resolution,[],[f10942,f6380]) ).
fof(f10945,plain,
( ! [X0] :
( m1_subset_1(k6_autgroup(sK22,X0),k4_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_137 ),
inference(forward_subsumption_resolution,[],[f10944,f6379]) ).
fof(f10946,plain,
( ! [X0] :
( m1_subset_1(k6_autgroup(sK22,X0),k4_autgroup(sK22))
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_137 ),
inference(forward_subsumption_resolution,[],[f10945,f6378]) ).
fof(f10947,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| m1_subset_1(k6_autgroup(sK22,X0),k4_autgroup(sK22)) )
| ~ spl346_137 ),
inference(forward_subsumption_resolution,[],[f10946,f6377]) ).
fof(f10948,plain,
( ! [X0] :
( ~ m2_fraenkel(sK23,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m1_subset_1(X0,k4_autgroup(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,X0) = k1_group_1(k5_autgroup(sK22),X0,sK23) )
| ~ spl346_137 ),
inference(resolution,[],[f10941,f10198]) ).
fof(f10952,plain,
( ! [X0] :
( ~ m2_fraenkel(sK23,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,X0) = k1_group_1(k5_autgroup(sK22),X0,sK23) )
| ~ spl346_137 ),
inference(forward_subsumption_resolution,[],[f10948,f10936]) ).
fof(f10953,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,X0) = k1_group_1(k5_autgroup(sK22),X0,sK23) )
| ~ spl346_137 ),
inference(forward_subsumption_resolution,[],[f10952,f6382]) ).
fof(f10957,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k6_autgroup(sK22,X0)) = k1_group_1(k5_autgroup(sK22),k6_autgroup(sK22,X0),sK23)
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_137 ),
inference(resolution,[],[f10953,f6290]) ).
fof(f10959,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k6_autgroup(sK22,X0)) = k1_group_1(k5_autgroup(sK22),k6_autgroup(sK22,X0),sK23)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_137 ),
inference(forward_subsumption_resolution,[],[f10957,f6381]) ).
fof(f10961,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k6_autgroup(sK22,X0)) = k1_group_1(k5_autgroup(sK22),k6_autgroup(sK22,X0),sK23)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_137 ),
inference(forward_subsumption_resolution,[],[f10959,f6380]) ).
fof(f10962,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k6_autgroup(sK22,X0)) = k1_group_1(k5_autgroup(sK22),k6_autgroup(sK22,X0),sK23)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_137 ),
inference(forward_subsumption_resolution,[],[f10961,f6379]) ).
fof(f10963,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k6_autgroup(sK22,X0)) = k1_group_1(k5_autgroup(sK22),k6_autgroup(sK22,X0),sK23)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_137 ),
inference(forward_subsumption_resolution,[],[f10962,f6378]) ).
fof(f10964,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k6_autgroup(sK22,X0)) = k1_group_1(k5_autgroup(sK22),k6_autgroup(sK22,X0),sK23) )
| ~ spl346_137 ),
inference(forward_subsumption_resolution,[],[f10963,f6377]) ).
fof(f10967,plain,
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k6_autgroup(sK22,k2_group_1(sK22))) = k1_group_1(k5_autgroup(sK22),k6_autgroup(sK22,k2_group_1(sK22)),sK23)
| ~ spl346_137 ),
inference(resolution,[],[f10964,f9792]) ).
fof(f10968,plain,
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k6_partfun1(u1_struct_0(sK22))) = k1_group_1(k5_autgroup(sK22),k6_partfun1(u1_struct_0(sK22)),sK23)
| ~ spl346_137 ),
inference(forward_demodulation,[],[f10967,f9789]) ).
fof(f10969,plain,
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k2_group_1(k5_autgroup(sK22))) = k1_group_1(k5_autgroup(sK22),k2_group_1(k5_autgroup(sK22)),sK23)
| ~ spl346_137 ),
inference(forward_demodulation,[],[f10968,f9809]) ).
fof(f10970,plain,
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k2_group_1(k3_autgroup(sK22))) = k1_group_1(k5_autgroup(sK22),k2_group_1(k3_autgroup(sK22)),sK23)
| ~ spl346_137 ),
inference(forward_demodulation,[],[f10969,f9821]) ).
fof(f10971,plain,
( m1_subset_1(k6_autgroup(sK22,k2_group_1(sK22)),k4_autgroup(sK22))
| ~ spl346_137 ),
inference(resolution,[],[f10947,f9792]) ).
fof(f10972,plain,
( m1_subset_1(k6_partfun1(u1_struct_0(sK22)),k4_autgroup(sK22))
| ~ spl346_137 ),
inference(forward_demodulation,[],[f10971,f9789]) ).
fof(f10973,plain,
( m1_subset_1(k2_group_1(k5_autgroup(sK22)),k4_autgroup(sK22))
| ~ spl346_137 ),
inference(forward_demodulation,[],[f10972,f9809]) ).
fof(f10974,plain,
( m1_subset_1(k2_group_1(k3_autgroup(sK22)),k4_autgroup(sK22))
| ~ spl346_137 ),
inference(forward_demodulation,[],[f10973,f9821]) ).
fof(f10975,plain,
( ! [X0] :
( ~ m2_fraenkel(k2_group_1(k3_autgroup(sK22)),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m1_subset_1(X0,k4_autgroup(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k2_group_1(k3_autgroup(sK22)),X0) = k1_group_1(k5_autgroup(sK22),X0,k2_group_1(k3_autgroup(sK22))) )
| ~ spl346_137 ),
inference(resolution,[],[f10974,f10198]) ).
fof(f10978,plain,
( ! [X0] :
( ~ m2_fraenkel(k2_group_1(k3_autgroup(sK22)),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k2_group_1(k3_autgroup(sK22)),X0) = k1_group_1(k5_autgroup(sK22),X0,k2_group_1(k3_autgroup(sK22))) )
| ~ spl346_137 ),
inference(forward_subsumption_resolution,[],[f10975,f10936]) ).
fof(f11054,plain,
! [X0] :
( ~ v1_group_1(sK22)
| v3_struct_0(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| v1_xboole_0(u1_struct_0(sK22))
| v1_funct_1(X0) ),
inference(resolution,[],[f9971,f6379]) ).
fof(f11057,plain,
! [X0] :
( v3_struct_0(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| v1_xboole_0(u1_struct_0(sK22))
| v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f11054,f6380]) ).
fof(f11059,plain,
! [X0] :
( ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| v1_xboole_0(u1_struct_0(sK22))
| v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f11057,f6381]) ).
fof(f11061,plain,
! [X0] :
( ~ l1_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| v1_xboole_0(u1_struct_0(sK22))
| v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f11059,f6378]) ).
fof(f11063,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| v1_xboole_0(u1_struct_0(sK22))
| v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f11061,f6377]) ).
fof(f11065,definition,
( spl346_139
<=> ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| v1_funct_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl346_139])],[avatar_definition]) ).
fof(f11066,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| v1_funct_1(X0) )
| ~ spl346_139 ),
inference(avatar_component_clause,[],[f11065]) ).
fof(f11067,plain,
( spl346_72
| spl346_139 ),
inference(avatar_split_clause,[],[f11063,f11065,f10361]) ).
fof(f11069,plain,
( v1_funct_1(k2_group_1(k3_autgroup(sK22)))
| ~ spl346_139 ),
inference(resolution,[],[f11066,f10215]) ).
fof(f11095,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| m2_fraenkel(k2_funct_1(X0),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f6359,f6379]) ).
fof(f11098,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ v1_group_1(sK22)
| m2_fraenkel(k2_funct_1(X0),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f11095,f6381]) ).
fof(f11100,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| m2_fraenkel(k2_funct_1(X0),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f11098,f6380]) ).
fof(f11102,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| m2_fraenkel(k2_funct_1(X0),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f11100,f6378]) ).
fof(f11104,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| m2_fraenkel(k2_funct_1(X0),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)) ),
inference(forward_subsumption_resolution,[],[f11102,f6377]) ).
fof(f11108,plain,
! [X0] :
( m2_fraenkel(k2_funct_1(k6_autgroup(sK22,X0)),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) ),
inference(resolution,[],[f11104,f6290]) ).
fof(f11110,plain,
! [X0] :
( m2_fraenkel(k2_funct_1(k6_autgroup(sK22,X0)),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) ),
inference(forward_subsumption_resolution,[],[f11108,f6381]) ).
fof(f11114,plain,
! [X0] :
( m2_fraenkel(k2_funct_1(k6_autgroup(sK22,X0)),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) ),
inference(forward_subsumption_resolution,[],[f11110,f6380]) ).
fof(f11116,plain,
! [X0] :
( m2_fraenkel(k2_funct_1(k6_autgroup(sK22,X0)),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) ),
inference(forward_subsumption_resolution,[],[f11114,f6379]) ).
fof(f11117,plain,
! [X0] :
( m2_fraenkel(k2_funct_1(k6_autgroup(sK22,X0)),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) ),
inference(forward_subsumption_resolution,[],[f11116,f6378]) ).
fof(f11118,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| m2_fraenkel(k2_funct_1(k6_autgroup(sK22,X0)),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)) ),
inference(forward_subsumption_resolution,[],[f11117,f6377]) ).
fof(f11259,plain,
m2_fraenkel(k2_funct_1(k6_autgroup(sK22,k2_group_1(sK22))),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)),
inference(resolution,[],[f11118,f9792]) ).
fof(f11260,plain,
m2_fraenkel(k2_funct_1(k6_partfun1(u1_struct_0(sK22))),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)),
inference(forward_demodulation,[],[f11259,f9789]) ).
fof(f11261,plain,
m2_fraenkel(k6_partfun1(u1_struct_0(sK22)),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)),
inference(forward_demodulation,[],[f11260,f8709]) ).
fof(f11262,plain,
m2_fraenkel(k2_group_1(k5_autgroup(sK22)),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)),
inference(forward_demodulation,[],[f11261,f9809]) ).
fof(f11263,plain,
m2_fraenkel(k2_group_1(k3_autgroup(sK22)),u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22)),
inference(forward_demodulation,[],[f11262,f9821]) ).
fof(f11264,plain,
( $false
| spl346_35 ),
inference(forward_subsumption_resolution,[],[f11263,f10139]) ).
fof(f11265,plain,
spl346_35,
inference(avatar_contradiction_clause,[],[f11264]) ).
fof(f11272,definition,
( spl346_146
<=> ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k2_group_1(k3_autgroup(sK22)),X0) = k1_group_1(k5_autgroup(sK22),X0,k2_group_1(k3_autgroup(sK22))) ) ),
introduced(definition,[new_symbols(definition,[spl346_146])],[avatar_definition]) ).
fof(f11273,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k2_group_1(k3_autgroup(sK22)),X0) = k1_group_1(k5_autgroup(sK22),X0,k2_group_1(k3_autgroup(sK22))) )
| ~ spl346_146 ),
inference(avatar_component_clause,[],[f11272]) ).
fof(f11274,plain,
( spl346_146
| ~ spl346_35
| ~ spl346_137 ),
inference(avatar_split_clause,[],[f10978,f10935,f10138,f11272]) ).
fof(f11281,plain,
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k2_group_1(k3_autgroup(sK22)),sK23) = k1_group_1(k5_autgroup(sK22),sK23,k2_group_1(k3_autgroup(sK22)))
| ~ spl346_146 ),
inference(resolution,[],[f11273,f6382]) ).
fof(f11358,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| k1_group_1(X0,k2_group_1(X0),X1) = X1
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f7952,f9328]) ).
fof(f11359,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| k1_group_1(X0,X1,k2_group_1(X0)) = X1
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f7952,f9327]) ).
fof(f11360,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| k1_group_1(X0,X1,k2_group_1(X0)) = X1 ),
inference(duplicate_literal_removal,[],[f11359]) ).
fof(f11361,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| k1_group_1(X0,k2_group_1(X0),X1) = X1 ),
inference(duplicate_literal_removal,[],[f11358]) ).
fof(f11362,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_group_1(X0,X1,k2_group_1(X0)) = X1 ),
inference(forward_subsumption_resolution,[],[f11360,f6823]) ).
fof(f11363,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_group_1(X0,k2_group_1(X0),X1) = X1 ),
inference(forward_subsumption_resolution,[],[f11361,f6823]) ).
fof(f11443,plain,
( m1_relset_1(k2_group_1(k3_autgroup(sK22)),u1_struct_0(sK22),u1_struct_0(sK22))
| ~ spl346_100 ),
inference(resolution,[],[f10730,f7532]) ).
fof(f11661,plain,
( ! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK22))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK22))
| k5_relat_1(X0,sK23) = k7_funct_2(X1,u1_struct_0(sK22),u1_struct_0(sK22),X0,sK23)
| v1_xboole_0(u1_struct_0(sK22))
| ~ m1_relset_1(sK23,u1_struct_0(sK22),u1_struct_0(sK22)) )
| ~ spl346_71
| ~ spl346_90 ),
inference(resolution,[],[f10550,f10364]) ).
fof(f11662,plain,
( ! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK22))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK22))
| k5_relat_1(X0,sK23) = k7_funct_2(X1,u1_struct_0(sK22),u1_struct_0(sK22),X0,sK23)
| v1_xboole_0(u1_struct_0(sK22)) )
| ~ spl346_71
| ~ spl346_86
| ~ spl346_90 ),
inference(forward_subsumption_resolution,[],[f11661,f10482]) ).
fof(f11664,definition,
( spl346_158
<=> ! [X0,X1] :
( ~ v1_funct_1(X0)
| k5_relat_1(X0,sK23) = k7_funct_2(X1,u1_struct_0(sK22),u1_struct_0(sK22),X0,sK23)
| ~ m1_relset_1(X0,X1,u1_struct_0(sK22))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK22)) ) ),
introduced(definition,[new_symbols(definition,[spl346_158])],[avatar_definition]) ).
fof(f11665,plain,
( ! [X0,X1] :
( ~ v1_funct_1(X0)
| k5_relat_1(X0,sK23) = k7_funct_2(X1,u1_struct_0(sK22),u1_struct_0(sK22),X0,sK23)
| ~ m1_relset_1(X0,X1,u1_struct_0(sK22))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK22)) )
| ~ spl346_158 ),
inference(avatar_component_clause,[],[f11664]) ).
fof(f11666,plain,
( spl346_72
| spl346_158
| ~ spl346_71
| ~ spl346_86
| ~ spl346_90 ),
inference(avatar_split_clause,[],[f11662,f10539,f10471,f10358,f11664,f10361]) ).
fof(f11668,plain,
( ! [X0] :
( ~ v1_funct_2(k2_group_1(k3_autgroup(sK22)),X0,u1_struct_0(sK22))
| ~ m1_relset_1(k2_group_1(k3_autgroup(sK22)),X0,u1_struct_0(sK22))
| k5_relat_1(k2_group_1(k3_autgroup(sK22)),sK23) = k7_funct_2(X0,u1_struct_0(sK22),u1_struct_0(sK22),k2_group_1(k3_autgroup(sK22)),sK23) )
| ~ spl346_139
| ~ spl346_158 ),
inference(resolution,[],[f11665,f11069]) ).
fof(f11746,plain,
( ~ m1_relset_1(k2_group_1(k3_autgroup(sK22)),u1_struct_0(sK22),u1_struct_0(sK22))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k2_group_1(k3_autgroup(sK22)),sK23) = k5_relat_1(k2_group_1(k3_autgroup(sK22)),sK23)
| ~ spl346_71
| ~ spl346_139
| ~ spl346_158 ),
inference(resolution,[],[f11668,f10393]) ).
fof(f11747,plain,
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k2_group_1(k3_autgroup(sK22)),sK23) = k5_relat_1(k2_group_1(k3_autgroup(sK22)),sK23)
| ~ spl346_71
| ~ spl346_100
| ~ spl346_139
| ~ spl346_158 ),
inference(forward_subsumption_resolution,[],[f11746,f11443]) ).
fof(f11750,plain,
( k1_group_1(k5_autgroup(sK22),sK23,k2_group_1(k3_autgroup(sK22))) = k5_relat_1(k2_group_1(k3_autgroup(sK22)),sK23)
| ~ spl346_71
| ~ spl346_100
| ~ spl346_139
| ~ spl346_146
| ~ spl346_158 ),
inference(superposition,[],[f11281,f11747]) ).
fof(f11752,plain,
( sK23 != k5_relat_1(k2_group_1(k3_autgroup(sK22)),sK23)
| spl346_10
| ~ spl346_71
| ~ spl346_100
| ~ spl346_139
| ~ spl346_158 ),
inference(superposition,[],[f9822,f11747]) ).
fof(f14472,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(X1))
| v3_struct_0(k3_autgroup(X1))
| l1_group_1(X0)
| ~ l1_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(resolution,[],[f6425,f6283]) ).
fof(f14473,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(X1))
| l1_group_1(X0)
| ~ l1_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f14472,f6285]) ).
fof(f14475,plain,
! [X0,X1] :
( ~ v3_group_1(X1)
| l1_group_1(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ m1_group_2(X0,k3_autgroup(X1))
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f14473,f6281]) ).
fof(f14478,plain,
! [X0] :
( l1_group_1(X0)
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ m1_group_2(X0,k3_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f14475,f6379]) ).
fof(f14481,plain,
! [X0] :
( l1_group_1(X0)
| ~ v1_group_1(sK22)
| ~ m1_group_2(X0,k3_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f14478,f6381]) ).
fof(f14483,plain,
! [X0] :
( l1_group_1(X0)
| ~ m1_group_2(X0,k3_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f14481,f6380]) ).
fof(f14485,plain,
! [X0] :
( l1_group_1(X0)
| ~ m1_group_2(X0,k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f14483,f6378]) ).
fof(f14487,plain,
! [X0] :
( ~ m1_group_2(X0,k3_autgroup(sK22))
| l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f14485,f6377]) ).
fof(f14489,plain,
( l1_group_1(k5_autgroup(sK22))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f14487,f6287]) ).
fof(f14498,plain,
( l1_group_1(k5_autgroup(sK22))
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f14489,f6381]) ).
fof(f14499,plain,
( l1_group_1(k5_autgroup(sK22))
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f14498,f6380]) ).
fof(f14500,plain,
( l1_group_1(k5_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f14499,f6379]) ).
fof(f14501,plain,
( l1_group_1(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f14500,f6378]) ).
fof(f14502,plain,
l1_group_1(k5_autgroup(sK22)),
inference(forward_subsumption_resolution,[],[f14501,f6377]) ).
fof(f14504,plain,
( ! [X0] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(k5_autgroup(sK22),X0)
| ~ l1_group_1(X0) )
| ~ spl346_32 ),
inference(resolution,[],[f10036,f6427]) ).
fof(f14526,plain,
( ! [X0] :
( v3_struct_0(k3_autgroup(X0))
| ~ m1_group_2(k5_autgroup(sK22),k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl346_32 ),
inference(resolution,[],[f14504,f6283]) ).
fof(f14527,plain,
( ! [X0] :
( ~ m1_group_2(k5_autgroup(sK22),k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl346_32 ),
inference(forward_subsumption_resolution,[],[f14526,f6285]) ).
fof(f14529,plain,
( ! [X0] :
( ~ m1_group_2(k5_autgroup(sK22),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl346_32 ),
inference(forward_subsumption_resolution,[],[f14527,f6281]) ).
fof(f14531,plain,
( v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ spl346_32 ),
inference(resolution,[],[f14529,f6287]) ).
fof(f14532,plain,
( v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ spl346_32 ),
inference(duplicate_literal_removal,[],[f14531]) ).
fof(f14533,plain,
( ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ spl346_32 ),
inference(forward_subsumption_resolution,[],[f14532,f6381]) ).
fof(f14534,plain,
( ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ spl346_32 ),
inference(forward_subsumption_resolution,[],[f14533,f6380]) ).
fof(f14535,plain,
( ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ spl346_32 ),
inference(forward_subsumption_resolution,[],[f14534,f6379]) ).
fof(f14536,plain,
( ~ l1_group_1(sK22)
| ~ spl346_32 ),
inference(forward_subsumption_resolution,[],[f14535,f6378]) ).
fof(f14537,plain,
( $false
| ~ spl346_32 ),
inference(forward_subsumption_resolution,[],[f14536,f6377]) ).
fof(f14538,plain,
~ spl346_32,
inference(avatar_contradiction_clause,[],[f14537]) ).
fof(f18719,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(X1))
| v3_struct_0(k3_autgroup(X1))
| v3_group_1(X0)
| ~ l1_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(resolution,[],[f6426,f6283]) ).
fof(f18723,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(X1))
| v3_group_1(X0)
| ~ l1_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f18719,f6285]) ).
fof(f18729,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(X1))
| v3_group_1(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f18723,f6281]) ).
fof(f19273,plain,
! [X0] :
( v3_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f18729,f6287]) ).
fof(f19274,plain,
! [X0] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| v3_group_1(k5_autgroup(X0))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(duplicate_literal_removal,[],[f19273]) ).
fof(f19278,plain,
( v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| v3_group_1(k5_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f19274,f6379]) ).
fof(f19279,plain,
( ~ v1_group_1(sK22)
| v3_group_1(k5_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f19278,f6381]) ).
fof(f19282,plain,
( v3_group_1(k5_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f19279,f6380]) ).
fof(f19285,plain,
( v3_group_1(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f19282,f6378]) ).
fof(f19288,plain,
v3_group_1(k5_autgroup(sK22)),
inference(forward_subsumption_resolution,[],[f19285,f6377]) ).
fof(f19367,plain,
! [X0] :
( v3_struct_0(k5_autgroup(sK22))
| ~ l1_group_1(k5_autgroup(sK22))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK22)))
| k1_group_1(k5_autgroup(sK22),X0,k2_group_1(k5_autgroup(sK22))) = X0 ),
inference(resolution,[],[f19288,f11362]) ).
fof(f19368,plain,
! [X0] :
( v3_struct_0(k5_autgroup(sK22))
| ~ l1_group_1(k5_autgroup(sK22))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK22)))
| k1_group_1(k5_autgroup(sK22),k2_group_1(k5_autgroup(sK22)),X0) = X0 ),
inference(resolution,[],[f19288,f11363]) ).
fof(f19387,plain,
! [X0] :
( v3_struct_0(k5_autgroup(sK22))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK22)))
| k1_group_1(k5_autgroup(sK22),k2_group_1(k5_autgroup(sK22)),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f19368,f14502]) ).
fof(f19388,plain,
! [X0] :
( v3_struct_0(k5_autgroup(sK22))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK22)))
| k1_group_1(k5_autgroup(sK22),X0,k2_group_1(k5_autgroup(sK22))) = X0 ),
inference(forward_subsumption_resolution,[],[f19367,f14502]) ).
fof(f19396,plain,
! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK22))
| v3_struct_0(k5_autgroup(sK22))
| k1_group_1(k5_autgroup(sK22),k2_group_1(k5_autgroup(sK22)),X0) = X0 ),
inference(forward_demodulation,[],[f19387,f10153]) ).
fof(f19397,plain,
! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK22))
| v3_struct_0(k5_autgroup(sK22))
| k1_group_1(k5_autgroup(sK22),X0,k2_group_1(k5_autgroup(sK22))) = X0 ),
inference(forward_demodulation,[],[f19388,f10153]) ).
fof(f19414,plain,
! [X0] :
( k1_group_1(k5_autgroup(sK22),k2_group_1(k3_autgroup(sK22)),X0) = X0
| ~ m1_subset_1(X0,k4_autgroup(sK22))
| v3_struct_0(k5_autgroup(sK22)) ),
inference(forward_demodulation,[],[f19396,f9821]) ).
fof(f19415,plain,
! [X0] :
( k1_group_1(k5_autgroup(sK22),X0,k2_group_1(k3_autgroup(sK22))) = X0
| ~ m1_subset_1(X0,k4_autgroup(sK22))
| v3_struct_0(k5_autgroup(sK22)) ),
inference(forward_demodulation,[],[f19397,f9821]) ).
fof(f19433,definition,
( spl346_683
<=> ! [X0] :
( k1_group_1(k5_autgroup(sK22),k2_group_1(k3_autgroup(sK22)),X0) = X0
| ~ m1_subset_1(X0,k4_autgroup(sK22)) ) ),
introduced(definition,[new_symbols(definition,[spl346_683])],[avatar_definition]) ).
fof(f19434,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK22))
| k1_group_1(k5_autgroup(sK22),k2_group_1(k3_autgroup(sK22)),X0) = X0 )
| ~ spl346_683 ),
inference(avatar_component_clause,[],[f19433]) ).
fof(f19435,plain,
( spl346_32
| spl346_683 ),
inference(avatar_split_clause,[],[f19414,f19433,f10035]) ).
fof(f19437,definition,
( spl346_684
<=> ! [X0] :
( k1_group_1(k5_autgroup(sK22),X0,k2_group_1(k3_autgroup(sK22))) = X0
| ~ m1_subset_1(X0,k4_autgroup(sK22)) ) ),
introduced(definition,[new_symbols(definition,[spl346_684])],[avatar_definition]) ).
fof(f19438,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK22))
| k1_group_1(k5_autgroup(sK22),X0,k2_group_1(k3_autgroup(sK22))) = X0 )
| ~ spl346_684 ),
inference(avatar_component_clause,[],[f19437]) ).
fof(f19439,plain,
( spl346_32
| spl346_684 ),
inference(avatar_split_clause,[],[f19415,f19437,f10035]) ).
fof(f19447,plain,
( sK23 = k1_group_1(k5_autgroup(sK22),k2_group_1(k3_autgroup(sK22)),sK23)
| ~ spl346_137
| ~ spl346_683 ),
inference(resolution,[],[f19434,f10941]) ).
fof(f19460,plain,
( sK23 = k1_group_1(k5_autgroup(sK22),sK23,k2_group_1(k3_autgroup(sK22)))
| ~ spl346_137
| ~ spl346_684 ),
inference(resolution,[],[f19438,f10941]) ).
fof(f19466,plain,
( sK23 = k5_relat_1(k2_group_1(k3_autgroup(sK22)),sK23)
| ~ spl346_71
| ~ spl346_100
| ~ spl346_137
| ~ spl346_139
| ~ spl346_146
| ~ spl346_158
| ~ spl346_684 ),
inference(superposition,[],[f19460,f11750]) ).
fof(f19475,plain,
( $false
| spl346_10
| ~ spl346_71
| ~ spl346_100
| ~ spl346_137
| ~ spl346_139
| ~ spl346_146
| ~ spl346_158
| ~ spl346_684 ),
inference(forward_subsumption_resolution,[],[f19466,f11752]) ).
fof(f19476,plain,
( spl346_10
| ~ spl346_71
| ~ spl346_100
| ~ spl346_137
| ~ spl346_139
| ~ spl346_146
| ~ spl346_158
| ~ spl346_684 ),
inference(avatar_contradiction_clause,[],[f19475]) ).
fof(f19477,plain,
( sK23 != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k6_partfun1(u1_struct_0(sK22)))
| spl346_9 ),
inference(forward_demodulation,[],[f9668,f9789]) ).
fof(f19512,plain,
( sK23 != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k2_group_1(k5_autgroup(sK22)))
| spl346_9 ),
inference(forward_demodulation,[],[f19477,f9809]) ).
fof(f19529,plain,
( sK23 != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),sK23,k2_group_1(k3_autgroup(sK22)))
| spl346_9 ),
inference(forward_demodulation,[],[f19512,f9821]) ).
fof(f19535,plain,
( sK23 != k1_group_1(k5_autgroup(sK22),k2_group_1(k3_autgroup(sK22)),sK23)
| spl346_9
| ~ spl346_137 ),
inference(forward_demodulation,[],[f19529,f10970]) ).
fof(f19537,plain,
( $false
| spl346_9
| ~ spl346_137
| ~ spl346_683 ),
inference(forward_subsumption_resolution,[],[f19535,f19447]) ).
fof(f19538,plain,
( spl346_9
| ~ spl346_137
| ~ spl346_683 ),
inference(avatar_contradiction_clause,[],[f19537]) ).
cnf(s5,plain,
( ~ spl346_9
| ~ spl346_10 ),
inference(sat_conversion,[],[f9672]) ).
cnf(s59,plain,
( spl346_71
| spl346_72 ),
inference(sat_conversion,[],[f10363]) ).
cnf(s65,plain,
~ spl346_72,
inference(sat_conversion,[],[f10445]) ).
cnf(s70,plain,
( spl346_72
| spl346_86 ),
inference(sat_conversion,[],[f10473]) ).
cnf(s76,plain,
( spl346_72
| spl346_90 ),
inference(sat_conversion,[],[f10541]) ).
cnf(s86,plain,
( spl346_72
| spl346_100 ),
inference(sat_conversion,[],[f10728]) ).
cnf(s117,plain,
( spl346_72
| spl346_137 ),
inference(sat_conversion,[],[f10937]) ).
cnf(s119,plain,
( spl346_72
| spl346_139 ),
inference(sat_conversion,[],[f11067]) ).
cnf(s124,plain,
spl346_35,
inference(sat_conversion,[],[f11265]) ).
cnf(s126,plain,
( ~ spl346_35
| ~ spl346_137
| spl346_146 ),
inference(sat_conversion,[],[f11274]) ).
cnf(s140,plain,
( ~ spl346_71
| spl346_72
| ~ spl346_86
| ~ spl346_90
| spl346_158 ),
inference(sat_conversion,[],[f11666]) ).
cnf(s198,plain,
~ spl346_32,
inference(sat_conversion,[],[f14538]) ).
cnf(s622,plain,
( spl346_32
| spl346_683 ),
inference(sat_conversion,[],[f19435]) ).
cnf(s623,plain,
( spl346_32
| spl346_684 ),
inference(sat_conversion,[],[f19439]) ).
cnf(s626,plain,
( spl346_10
| ~ spl346_71
| ~ spl346_100
| ~ spl346_137
| ~ spl346_139
| ~ spl346_146
| ~ spl346_158
| ~ spl346_684 ),
inference(sat_conversion,[],[f19476]) ).
cnf(s632,plain,
( spl346_9
| ~ spl346_137
| ~ spl346_683 ),
inference(sat_conversion,[],[f19538]) ).
cnf(s887,plain,
spl346_684,
inference(rat,[],[s623,s198]) ).
cnf(s888,plain,
spl346_683,
inference(rat,[],[s622,s198]) ).
cnf(s903,plain,
spl346_139,
inference(rat,[],[s119,s65]) ).
cnf(s905,plain,
spl346_137,
inference(rat,[],[s117,s65]) ).
cnf(s906,plain,
spl346_100,
inference(rat,[],[s86,s65]) ).
cnf(s907,plain,
spl346_90,
inference(rat,[],[s76,s65]) ).
cnf(s908,plain,
spl346_86,
inference(rat,[],[s70,s65]) ).
cnf(s910,plain,
spl346_9,
inference(rat,[],[s632,s888,s905]) ).
cnf(s911,plain,
spl346_146,
inference(rat,[],[s126,s124,s905]) ).
cnf(s920,plain,
spl346_71,
inference(rat,[],[s59,s65]) ).
cnf(s929,plain,
spl346_158,
inference(rat,[],[s140,s908,s907,s65,s920]) ).
cnf(s933,plain,
spl346_10,
inference(rat,[],[s626,s887,s920,s911,s903,s905,s906,s929]) ).
cnf(s997,plain,
$false,
inference(rat,[],[s5,s933,s910]) ).
fof(f19539,plain,
$false,
inference(avatar_sat_refutation,[],[s997]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP632+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:16:32 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.23/2.48 % (584875)Detected formulas, will run a generic FOF schedule.
% 12.23/2.48 % (584884)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1347435903:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.23/2.48 % (584885)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2834608901:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.23/2.48 % (584880)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1004853463:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.23/2.48 % (584881)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2201128475:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.23/2.48 % (584886)dis-21_1_sil=8000:lcm=predicate:random_seed=508869149:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.23/2.48 % (584882)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=139691176:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.23/2.48 % (584883)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2228035706:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.23/2.48 % (584883)Refutation not found, incomplete strategy
% 12.23/2.48 % (584883)------------------------------
% 12.23/2.48 % (584883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.48 % (584883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.48 % (584883)CaDiCaL version: 2.1.3
% 12.23/2.48 % (584883)Termination reason: Refutation not found, incomplete strategy
% 12.23/2.48 % (584883)Time elapsed: 0.019 s
% 12.23/2.48 % (584883)Peak memory usage: 93 MB
% 12.23/2.48 % (584883)Instructions burned: 25 (million)
% 12.23/2.48 % (584884)Instruction limit reached!
% 12.23/2.48 % (584884)------------------------------
% 12.23/2.48 % (584884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.48 % (584884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.48 % (584884)CaDiCaL version: 2.1.3
% 12.23/2.48 % (584884)Termination reason: Instruction limit
% 12.23/2.48 % (584884)Termination phase: Saturation
% 12.23/2.48 % (584884)Time elapsed: 0.076 s
% 12.23/2.48 % (584884)Peak memory usage: 94 MB
% 12.23/2.48 % (584884)Instructions burned: 119 (million)
% 12.23/2.48 % (584885)Instruction limit reached!
% 12.23/2.48 % (584885)------------------------------
% 12.23/2.48 % (584885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.48 % (584885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.48 % (584885)CaDiCaL version: 2.1.3
% 12.23/2.48 % (584885)Termination reason: Instruction limit
% 12.23/2.48 % (584885)Termination phase: Preprocessing 3
% 12.23/2.48 % (584885)Time elapsed: 0.086 s
% 12.23/2.48 % (584885)Peak memory usage: 94 MB
% 12.23/2.48 % (584885)Instructions burned: 140 (million)
% 12.23/2.48 % (584886)Instruction limit reached!
% 12.23/2.48 % (584886)------------------------------
% 12.23/2.48 % (584886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.48 % (584886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.48 % (584886)CaDiCaL version: 2.1.3
% 12.23/2.48 % (584886)Termination reason: Instruction limit
% 12.23/2.48 % (584886)Termination phase: Preprocessing 3
% 12.23/2.48 % (584886)Time elapsed: 0.088 s
% 12.23/2.48 % (584886)Peak memory usage: 94 MB
% 12.23/2.48 % (584886)Instructions burned: 130 (million)
% 12.23/2.48 % (584895)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3521951675:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.23/2.48 % (584894)lrs+10_1_sil=8000:sp=occurrence:random_seed=164522896:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.23/2.48 % (584896)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3822447284:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.23/2.48 % (584883)------------------------------
% 12.23/2.48 % (584883)------------------------------
% 12.23/2.48 % (584895)Instruction limit reached!
% 12.23/2.48 % (584895)------------------------------
% 12.23/2.48 % (584895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.48 % (584895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.15/3.57 % (584895)CaDiCaL version: 2.1.3
% 20.15/3.57 % (584895)Termination reason: Instruction limit
% 20.15/3.57 % (584895)Termination phase: Saturation
% 20.15/3.57 % (584895)Time elapsed: 0.041 s
% 20.15/3.57 % (584895)Peak memory usage: 94 MB
% 20.15/3.57 % (584895)Instructions burned: 157 (million)
% 20.15/3.57 % (584901)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1731581024:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 20.15/3.57 % (584894)Instruction limit reached!
% 20.15/3.57 % (584894)------------------------------
% 20.15/3.57 % (584894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.15/3.57 % (584894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.15/3.57 % (584894)CaDiCaL version: 2.1.3
% 20.15/3.57 % (584894)Termination reason: Instruction limit
% 20.15/3.57 % (584894)Termination phase: Saturation
% 20.15/3.57 % (584894)Time elapsed: 0.184 s
% 20.15/3.57 % (584894)Peak memory usage: 97 MB
% 20.15/3.57 % (584894)Instructions burned: 285 (million)
% 20.15/3.57 % (584900)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2985805542:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.15/3.57 % (584896)Instruction limit reached!
% 20.15/3.57 % (584896)------------------------------
% 20.15/3.57 % (584896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.15/3.57 % (584896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.15/3.57 % (584896)CaDiCaL version: 2.1.3
% 20.15/3.57 % (584896)Termination reason: Instruction limit
% 20.15/3.57 % (584896)Termination phase: Saturation
% 20.15/3.57 % (584896)Time elapsed: 0.205 s
% 20.15/3.57 % (584896)Peak memory usage: 96 MB
% 20.15/3.57 % (584896)Instructions burned: 325 (million)
% 20.15/3.57 % (584901)Instruction limit reached!
% 20.15/3.57 % (584901)------------------------------
% 20.15/3.57 % (584901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.15/3.57 % (584901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.15/3.57 % (584901)CaDiCaL version: 2.1.3
% 20.15/3.57 % (584901)Termination reason: Instruction limit
% 20.15/3.57 % (584901)Termination phase: Saturation
% 20.15/3.57 % (584901)Time elapsed: 0.094 s
% 20.15/3.57 % (584901)Peak memory usage: 97 MB
% 20.15/3.57 % (584901)Instructions burned: 295 (million)
% 20.15/3.57 % (584903)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=884825381:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 20.15/3.57 % (584900)Instruction limit reached!
% 20.15/3.57 % (584900)------------------------------
% 20.15/3.57 % (584900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.15/3.57 % (584900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.15/3.57 % (584900)CaDiCaL version: 2.1.3
% 20.15/3.57 % (584900)Termination reason: Instruction limit
% 20.15/3.57 % (584900)Termination phase: Property scanning
% 20.15/3.57 % (584900)Time elapsed: 0.147 s
% 20.15/3.57 % (584900)Peak memory usage: 97 MB
% 20.15/3.57 % (584900)Instructions burned: 251 (million)
% 20.15/3.57 % (584905)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2828207438:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 20.15/3.57 % (584906)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2637562416:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 20.15/3.57 % (584905)Instruction limit reached!
% 20.15/3.57 % (584905)------------------------------
% 20.15/3.57 % (584905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.15/3.57 % (584905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.15/3.57 % (584905)CaDiCaL version: 2.1.3
% 20.15/3.57 % (584905)Termination reason: Instruction limit
% 20.15/3.57 % (584905)Termination phase: Property scanning
% 20.15/3.57 % (584905)Time elapsed: 0.069 s
% 20.15/3.57 % (584905)Peak memory usage: 93 MB
% 20.15/3.57 % (584905)Instructions burned: 114 (million)
% 20.15/3.57 % (584906)Instruction limit reached!
% 20.15/3.57 % (584906)------------------------------
% 20.15/3.57 % (584906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.15/3.57 % (584906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.15/3.57 % (584906)CaDiCaL version: 2.1.3
% 20.15/3.57 % (584906)Termination reason: Instruction limit
% 20.15/3.57 % (584906)Termination phase: Clausification
% 18.08/3.63 % (584906)Time elapsed: 0.049 s
% 18.08/3.63 % (584906)Peak memory usage: 96 MB
% 18.08/3.63 % (584906)Instructions burned: 129 (million)
% 18.08/3.63 % (584908)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4153785354:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 18.08/3.63 % (584912)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3261186217:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 18.08/3.63 % (584908)Instruction limit reached!
% 18.08/3.63 % (584908)------------------------------
% 18.08/3.63 % (584908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.63 % (584908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.63 % (584908)CaDiCaL version: 2.1.3
% 18.08/3.63 % (584908)Termination reason: Instruction limit
% 18.08/3.63 % (584908)Termination phase: Preprocessing 1
% 18.08/3.63 % (584908)Time elapsed: 0.058 s
% 18.08/3.63 % (584908)Peak memory usage: 89 MB
% 18.08/3.63 % (584908)Instructions burned: 114 (million)
% 18.08/3.63 % (584911)lrs+10_1_sil=8000:sp=occurrence:random_seed=330443572:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 18.08/3.63 % (584912)Instruction limit reached!
% 18.08/3.63 % (584912)------------------------------
% 18.08/3.63 % (584912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.63 % (584912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.63 % (584912)CaDiCaL version: 2.1.3
% 18.08/3.63 % (584912)Termination reason: Instruction limit
% 18.08/3.63 % (584912)Termination phase: Saturation
% 18.08/3.63 % (584912)Time elapsed: 0.137 s
% 18.08/3.63 % (584912)Peak memory usage: 96 MB
% 18.08/3.63 % (584912)Instructions burned: 438 (million)
% 18.08/3.63 % (584915)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3377347767:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 18.08/3.63 % (584917)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=585558006:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 18.08/3.63 % (584917)Instruction limit reached!
% 18.08/3.63 % (584917)------------------------------
% 18.08/3.63 % (584917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.63 % (584917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.63 % (584917)CaDiCaL version: 2.1.3
% 18.08/3.63 % (584917)Termination reason: Instruction limit
% 18.08/3.63 % (584917)Termination phase: Saturation
% 18.08/3.63 % (584917)Time elapsed: 0.045 s
% 18.08/3.63 % (584917)Peak memory usage: 96 MB
% 18.08/3.63 % (584917)Instructions burned: 136 (million)
% 18.08/3.63 % (584920)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=312038337:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 18.08/3.63 % (584920)Instruction limit reached!
% 18.08/3.63 % (584920)------------------------------
% 18.08/3.63 % (584920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.63 % (584920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.63 % (584920)CaDiCaL version: 2.1.3
% 18.08/3.63 % (584920)Termination reason: Instruction limit
% 18.08/3.63 % (584920)Termination phase: Saturation
% 18.08/3.63 % (584920)Time elapsed: 0.165 s
% 18.08/3.63 % (584920)Peak memory usage: 105 MB
% 18.08/3.63 % (584920)Instructions burned: 594 (million)
% 18.08/3.63 % (584911)Instruction limit reached!
% 18.08/3.63 % (584911)------------------------------
% 18.08/3.63 % (584911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.63 % (584911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.63 % (584911)CaDiCaL version: 2.1.3
% 18.08/3.63 % (584911)Termination reason: Instruction limit
% 18.08/3.63 % (584911)Termination phase: Saturation
% 18.08/3.63 % (584911)Time elapsed: 0.583 s
% 18.08/3.63 % (584911)Peak memory usage: 106 MB
% 18.08/3.63 % (584911)Instructions burned: 907 (million)
% 18.08/3.63 % (584922)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1240390358:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 18.08/3.63 % (584923)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2105918350:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 18.08/3.63 % (584923)Instruction limit reached!
% 18.08/3.63 % (584923)------------------------------
% 18.08/3.63 % (584923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.63 % (584923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.63 % (584923)CaDiCaL version: 2.1.3
% 18.08/3.63 % (584923)Termination reason: Instruction limit
% 18.08/3.63 % (584923)Termination phase: Property scanning
% 18.08/3.63 % (584923)Time elapsed: 0.075 s
% 18.08/3.63 % (584923)Peak memory usage: 92 MB
% 18.08/3.63 % (584923)Instructions burned: 127 (million)
% 18.08/3.63 % (584926)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1624987992:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 18.08/3.63 % (584926)Instruction limit reached!
% 18.08/3.63 % (584926)------------------------------
% 18.08/3.63 % (584926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.63 % (584926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.63 % (584926)CaDiCaL version: 2.1.3
% 18.08/3.63 % (584926)Termination reason: Instruction limit
% 18.08/3.63 % (584926)Termination phase: Preprocessing 1
% 18.08/3.63 % (584926)Time elapsed: 0.070 s
% 18.08/3.63 % (584926)Peak memory usage: 90 MB
% 18.08/3.63 % (584926)Instructions burned: 135 (million)
% 18.08/3.63 % (584903)Instruction limit reached!
% 18.08/3.63 % (584903)------------------------------
% 18.08/3.63 % (584903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.63 % (584903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.63 % (584903)CaDiCaL version: 2.1.3
% 18.08/3.63 % (584903)Termination reason: Instruction limit
% 18.08/3.63 % (584903)Termination phase: Saturation
% 18.08/3.63 % (584903)Time elapsed: 1.472 s
% 18.08/3.63 % (584903)Peak memory usage: 221 MB
% 18.08/3.63 % (584903)Instructions burned: 2351 (million)
% 18.08/3.63 % (584928)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3556918626:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 18.08/3.63 % (584928)Instruction limit reached!
% 18.08/3.63 % (584928)------------------------------
% 18.08/3.63 % (584928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.63 % (584928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.63 % (584928)CaDiCaL version: 2.1.3
% 18.08/3.63 % (584928)Termination reason: Instruction limit
% 18.08/3.63 % (584928)Termination phase: Saturation
% 18.08/3.63 % (584928)Time elapsed: 0.076 s
% 18.08/3.63 % (584928)Peak memory usage: 94 MB
% 18.08/3.63 % (584928)Instructions burned: 142 (million)
% 18.08/3.63 % (584929)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=224974809:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 18.08/3.63 % (584929)Refutation not found, incomplete strategy
% 18.08/3.63 % (584929)------------------------------
% 18.08/3.63 % (584929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.63 % (584929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.63 % (584929)CaDiCaL version: 2.1.3
% 18.08/3.63 % (584929)Termination reason: Refutation not found, incomplete strategy
% 18.08/3.63 % (584929)Time elapsed: 0.023 s
% 18.08/3.63 % (584929)Peak memory usage: 93 MB
% 18.08/3.63 % (584929)Instructions burned: 29 (million)
% 18.08/3.63 % (584931)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1506064992:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 18.08/3.63 % (584929)------------------------------
% 18.08/3.63 % (584929)------------------------------
% 18.08/3.63 % (584881)First to succeed.
% 18.08/3.63 % (584881)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-584875"
% 18.08/3.63 % (584934)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3568012567:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 18.08/3.63 % (584934)Instruction limit reached!
% 18.08/3.63 % (584934)------------------------------
% 18.08/3.63 % (584934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.63 % (584934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.63 % (584934)CaDiCaL version: 2.1.3
% 18.08/3.63 % (584934)Termination reason: Instruction limit
% 18.08/3.63 % (584934)Termination phase: Clausification
% 18.08/3.63 % (584934)Time elapsed: 0.097 s
% 18.08/3.63 % (584934)Peak memory usage: 96 MB
% 18.08/3.63 % (584934)Instructions burned: 150 (million)
% 18.08/3.63 % (584881)Refutation found. Thanks to Tanya!
% 18.08/3.63 % SZS status Theorem for theBenchmark
% 18.08/3.63 % SZS output start Proof for theBenchmark
% See solution above
% 21.40/3.83 % (584881)------------------------------
% 21.40/3.83 % (584881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.40/3.83 % (584881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.40/3.83 % (584881)CaDiCaL version: 2.1.3
% 21.40/3.83 % (584881)Termination reason: Refutation
% 21.40/3.83 % (584881)Time elapsed: 2.523 s
% 21.40/3.83 % (584881)Peak memory usage: 168 MB
% 21.40/3.83 % (584881)Instructions burned: 3873 (million)
% 21.40/3.83 % (584881)------------------------------
% 21.40/3.83 % (584881)------------------------------
% 21.40/3.83 % (584875)Success in time 3.03 s
% 21.40/3.83 % Vampire exiting
%------------------------------------------------------------------------------