%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP630+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 : n020.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 10:15:07 AM UTC 2026
% Result : Theorem 22.70s 4.20s
% Output : Refutation 23.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 30
% Syntax : Number of formulae : 281 ( 33 unt; 9 def)
% Number of atoms : 1344 ( 134 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 1872 ( 809 ~; 882 |; 125 &)
% ( 15 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 10 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-5 aty)
% Number of variables : 275 ( 0 sgn 271 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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(f2678,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( k1_group_1(X0,X1,X2) = k2_group_1(X0)
| k1_group_1(X0,X2,X1) = k2_group_1(X0) )
=> ( X1 = k3_group_1(X0,X2)
& X2 = k3_group_1(X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_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(f2771,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_group_1) ).
fof(f3118,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_group_2) ).
fof(f3130,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_group_2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_group_2) ).
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(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(f3821,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(k3_autgroup(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
=> ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ! [X4] :
( m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ( ( X1 = X3
& X2 = X4 )
=> k1_group_1(k3_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',t9_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(f3823,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),k1_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_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(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(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(f3842,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(X0))
=> k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k3_group_1(X0,X1))) = k6_autgroup(X0,k2_group_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_autgroup) ).
fof(f3843,conjecture,
! [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(X0))
=> k6_autgroup(X0,k3_group_1(X0,X1)) = k2_funct_1(k6_autgroup(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_autgroup) ).
fof(f3844,negated_conjecture,
~ ! [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(X0))
=> k6_autgroup(X0,k3_group_1(X0,X1)) = k2_funct_1(k6_autgroup(X0,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f3843]) ).
fof(f3868,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(f3869,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,[],[f3868]) ).
fof(f3870,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(f3871,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,[],[f3870]) ).
fof(f3872,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(f3873,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,[],[f3872]) ).
fof(f3874,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(f3875,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,[],[f3874]) ).
fof(f3902,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k1_group_1(k3_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),k1_autgroup(X0)) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m1_subset_1(X1,u1_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(ennf_transformation,[],[f3821]) ).
fof(f3903,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k1_group_1(k3_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),k1_autgroup(X0)) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m1_subset_1(X1,u1_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(flattening,[],[f3902]) ).
fof(f3904,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(f3905,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,[],[f3904]) ).
fof(f3906,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_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,[],[f3823]) ).
fof(f3907,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_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(f3912,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(f3913,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,[],[f3912]) ).
fof(f3924,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(f3925,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,[],[f3924]) ).
fof(f3928,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(f3929,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,[],[f3928]) ).
fof(f3936,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(f3937,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,[],[f3936]) ).
fof(f3942,plain,
! [X0] :
( ! [X1] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k3_group_1(X0,X1))) = k6_autgroup(X0,k2_group_1(X0))
| ~ m1_subset_1(X1,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,[],[f3842]) ).
fof(f3943,plain,
! [X0] :
( ! [X1] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k3_group_1(X0,X1))) = k6_autgroup(X0,k2_group_1(X0))
| ~ m1_subset_1(X1,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,[],[f3942]) ).
fof(f3944,plain,
? [X0] :
( ? [X1] :
( k6_autgroup(X0,k3_group_1(X0,X1)) != k2_funct_1(k6_autgroup(X0,X1))
& m1_subset_1(X1,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,[],[f3844]) ).
fof(f3945,plain,
? [X0] :
( ? [X1] :
( k6_autgroup(X0,k3_group_1(X0,X1)) != k2_funct_1(k6_autgroup(X0,X1))
& m1_subset_1(X1,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,[],[f3944]) ).
fof(f3947,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(f3948,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,[],[f3947]) ).
fof(f3976,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(f3977,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,[],[f3976]) ).
fof(f3982,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3130]) ).
fof(f3983,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3982]) ).
fof(f3984,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3118]) ).
fof(f3985,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3984]) ).
fof(f4311,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f2771]) ).
fof(f4312,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f4311]) ).
fof(f4325,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X1 = k3_group_1(X0,X2)
& X2 = k3_group_1(X0,X1) )
| ( k1_group_1(X0,X1,X2) != k2_group_1(X0)
& k1_group_1(X0,X2,X1) != k2_group_1(X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f2678]) ).
fof(f4326,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X1 = k3_group_1(X0,X2)
& X2 = k3_group_1(X0,X1) )
| ( k1_group_1(X0,X1,X2) != k2_group_1(X0)
& k1_group_1(X0,X2,X1) != k2_group_1(X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f4325]) ).
fof(f5131,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f2766]) ).
fof(f5139,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2481]) ).
fof(f5140,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f5139]) ).
fof(f5716,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,[],[f3925]) ).
fof(f5720,plain,
( k6_autgroup(sK22,k3_group_1(sK22,sK23)) != k2_funct_1(k6_autgroup(sK22,sK23))
& m1_subset_1(sK23,u1_struct_0(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)],[f3945]) ).
fof(f5721,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,[],[f3948]) ).
fof(f6275,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,[],[f3869]) ).
fof(f6276,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v4_group_1(k3_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3869]) ).
fof(f6277,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,[],[f3869]) ).
fof(f6279,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,[],[f3869]) ).
fof(f6280,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,[],[f3871]) ).
fof(f6281,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,[],[f3873]) ).
fof(f6282,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,[],[f3873]) ).
fof(f6283,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,[],[f3873]) ).
fof(f6284,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,[],[f3875]) ).
fof(f6336,plain,
! [X2,X3,X0,X1,X4] :
( k1_group_1(k3_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),k1_autgroup(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| ~ m1_subset_1(X1,u1_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,[],[f3903]) ).
fof(f6337,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,[],[f3905]) ).
fof(f6338,plain,
! [X2,X0,X1] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_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,[],[f3907]) ).
fof(f6349,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,[],[f3913]) ).
fof(f6355,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,[],[f5716]) ).
fof(f6358,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,[],[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)) = k6_autgroup(X0,k2_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3937]) ).
fof(f6367,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k3_group_1(X0,X1)))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3943]) ).
fof(f6368,plain,
l1_group_1(sK22),
inference(cnf_transformation,[],[f5720]) ).
fof(f6369,plain,
v4_group_1(sK22),
inference(cnf_transformation,[],[f5720]) ).
fof(f6370,plain,
v3_group_1(sK22),
inference(cnf_transformation,[],[f5720]) ).
fof(f6371,plain,
v1_group_1(sK22),
inference(cnf_transformation,[],[f5720]) ).
fof(f6372,plain,
~ v3_struct_0(sK22),
inference(cnf_transformation,[],[f5720]) ).
fof(f6373,plain,
m1_subset_1(sK23,u1_struct_0(sK22)),
inference(cnf_transformation,[],[f5720]) ).
fof(f6374,plain,
k6_autgroup(sK22,k3_group_1(sK22,sK23)) != k2_funct_1(k6_autgroup(sK22,sK23)),
inference(cnf_transformation,[],[f5720]) ).
fof(f6376,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,[],[f5721]) ).
fof(f6416,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,[],[f3977]) ).
fof(f6421,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_group_2(X0,X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3983]) ).
fof(f6422,plain,
! [X2,X0,X1] :
( ~ v3_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3985]) ).
fof(f6842,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f4312]) ).
fof(f6854,plain,
! [X2,X0,X1] :
( k1_group_1(X0,X2,X1) != k2_group_1(X0)
| k3_group_1(X0,X1) = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f4326]) ).
fof(f7786,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5131]) ).
fof(f7797,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f5140]) ).
fof(f9134,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(k3_autgroup(X0),X3,X2)
| X2 != X4
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| ~ m1_subset_1(X3,u1_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(equality_resolution,[],[f6336]) ).
fof(f9135,plain,
! [X3,X0,X4] :
( ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3) = k1_group_1(k3_autgroup(X0),X3,X4)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_subset_1(X4,u1_struct_0(k3_autgroup(X0)))
| ~ m1_subset_1(X3,u1_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(equality_resolution,[],[f9134]) ).
fof(f9136,plain,
! [X2,X0] :
( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| k2_funct_1(X2) = k3_group_1(k3_autgroup(X0),X2)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f6338]) ).
fof(f9141,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,[],[f6355]) ).
fof(f9813,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,[],[f6358,f6369]) ).
fof(f9814,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,[],[f9813,f6372]) ).
fof(f9815,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,[],[f9814,f6371]) ).
fof(f9816,plain,
( k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9815,f6370]) ).
fof(f9817,plain,
k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k5_autgroup(sK22)),
inference(forward_subsumption_resolution,[],[f9816,f6368]) ).
fof(f9829,plain,
! [X2,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(X2))
| ~ m1_group_2(X2,k3_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| ~ l1_group_1(k3_autgroup(X0)) ),
inference(resolution,[],[f6277,f6422]) ).
fof(f9830,plain,
( v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| v4_group_1(k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f6276,f6369]) ).
fof(f9831,plain,
( ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| v4_group_1(k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9830,f6372]) ).
fof(f9832,plain,
( ~ v3_group_1(sK22)
| v4_group_1(k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9831,f6371]) ).
fof(f9833,plain,
( v4_group_1(k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9832,f6370]) ).
fof(f9834,plain,
v4_group_1(k3_autgroup(sK22)),
inference(forward_subsumption_resolution,[],[f9833,f6368]) ).
fof(f9837,plain,
( v3_struct_0(k3_autgroup(sK22))
| ~ v3_group_1(k3_autgroup(sK22))
| m1_group_2(k3_autgroup(sK22),k3_autgroup(sK22))
| ~ l1_group_1(k3_autgroup(sK22)) ),
inference(resolution,[],[f9834,f6421]) ).
fof(f9845,definition,
( spl346_9
<=> l1_group_1(k3_autgroup(sK22)) ),
introduced(definition,[new_symbols(definition,[spl346_9])],[avatar_definition]) ).
fof(f9846,plain,
( ~ l1_group_1(k3_autgroup(sK22))
| spl346_9 ),
inference(avatar_component_clause,[],[f9845]) ).
fof(f9848,definition,
( spl346_10
<=> v3_group_1(k3_autgroup(sK22)) ),
introduced(definition,[new_symbols(definition,[spl346_10])],[avatar_definition]) ).
fof(f9849,plain,
( ~ v3_group_1(k3_autgroup(sK22))
| spl346_10 ),
inference(avatar_component_clause,[],[f9848]) ).
fof(f9851,definition,
( spl346_11
<=> v3_struct_0(k3_autgroup(sK22)) ),
introduced(definition,[new_symbols(definition,[spl346_11])],[avatar_definition]) ).
fof(f9852,plain,
( v3_struct_0(k3_autgroup(sK22))
| ~ spl346_11 ),
inference(avatar_component_clause,[],[f9851]) ).
fof(f9878,definition,
( spl346_18
<=> m1_group_2(k3_autgroup(sK22),k3_autgroup(sK22)) ),
introduced(definition,[new_symbols(definition,[spl346_18])],[avatar_definition]) ).
fof(f9879,plain,
( m1_group_2(k3_autgroup(sK22),k3_autgroup(sK22))
| ~ spl346_18 ),
inference(avatar_component_clause,[],[f9878]) ).
fof(f9880,plain,
( ~ spl346_9
| spl346_18
| ~ spl346_10
| spl346_11 ),
inference(avatar_split_clause,[],[f9837,f9851,f9848,f9878,f9845]) ).
fof(f9892,plain,
( $false
| spl346_9 ),
inference(unit_resulting_resolution,[],[f6275,f6368,f6369,f6370,f6371,f6372,f9846]) ).
fof(f9894,plain,
spl346_9,
inference(avatar_contradiction_clause,[],[f9892]) ).
fof(f9895,plain,
( $false
| spl346_10 ),
inference(unit_resulting_resolution,[],[f6277,f6368,f6369,f6370,f6371,f6372,f9849]) ).
fof(f9897,plain,
spl346_10,
inference(avatar_contradiction_clause,[],[f9895]) ).
fof(f9898,plain,
( $false
| ~ spl346_11 ),
inference(unit_resulting_resolution,[],[f6279,f6368,f6369,f6370,f6371,f6372,f9852]) ).
fof(f9900,plain,
~ spl346_11,
inference(avatar_contradiction_clause,[],[f9898]) ).
fof(f9915,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,[],[f6337,f6369]) ).
fof(f9918,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,[],[f9915,f6372]) ).
fof(f9923,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,[],[f9918,f6371]) ).
fof(f9924,plain,
( k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9923,f6370]) ).
fof(f9925,plain,
k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k3_autgroup(sK22)),
inference(forward_subsumption_resolution,[],[f9924,f6368]) ).
fof(f9927,plain,
k2_group_1(k5_autgroup(sK22)) = k2_group_1(k3_autgroup(sK22)),
inference(superposition,[],[f9817,f9925]) ).
fof(f9929,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,[],[f6349,f6369]) ).
fof(f9935,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,[],[f9929,f6372]) ).
fof(f9936,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,[],[f9935,f6371]) ).
fof(f9937,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,[],[f9936,f6370]) ).
fof(f9938,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,[],[f9937,f6368]) ).
fof(f9939,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,[],[f9938,f6284]) ).
fof(f9941,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),k4_autgroup(X0))
| v1_xboole_0(u1_struct_0(X0))
| m1_subset_1(X1,k4_autgroup(X0)) ),
inference(resolution,[],[f6280,f6376]) ).
fof(f9945,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,[],[f9141,f6282]) ).
fof(f9946,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,[],[f9945]) ).
fof(f9954,plain,
( v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k6_autgroup(sK22,k2_group_1(sK22))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f6364,f6369]) ).
fof(f9957,plain,
( ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k6_autgroup(sK22,k2_group_1(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9954,f6372]) ).
fof(f9959,plain,
( ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k6_autgroup(sK22,k2_group_1(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9957,f6371]) ).
fof(f9964,plain,
( k6_partfun1(u1_struct_0(sK22)) = k6_autgroup(sK22,k2_group_1(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9959,f6370]) ).
fof(f9965,plain,
k6_partfun1(u1_struct_0(sK22)) = k6_autgroup(sK22,k2_group_1(sK22)),
inference(forward_subsumption_resolution,[],[f9964,f6368]) ).
fof(f9966,plain,
k2_group_1(k5_autgroup(sK22)) = k6_autgroup(sK22,k2_group_1(sK22)),
inference(forward_demodulation,[],[f9965,f9817]) ).
fof(f9967,plain,
k2_group_1(k3_autgroup(sK22)) = k6_autgroup(sK22,k2_group_1(sK22)),
inference(forward_demodulation,[],[f9966,f9927]) ).
fof(f10006,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_autgroup(sK22,k2_group_1(sK22)) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,X0),k6_autgroup(sK22,k3_group_1(sK22,X0)))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f6367,f6369]) ).
fof(f10009,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_autgroup(sK22,k2_group_1(sK22)) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,X0),k6_autgroup(sK22,k3_group_1(sK22,X0)))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10006,f6372]) ).
fof(f10014,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| ~ v3_group_1(sK22)
| k6_autgroup(sK22,k2_group_1(sK22)) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,X0),k6_autgroup(sK22,k3_group_1(sK22,X0)))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10009,f6371]) ).
fof(f10015,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| k6_autgroup(sK22,k2_group_1(sK22)) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,X0),k6_autgroup(sK22,k3_group_1(sK22,X0)))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10014,f6370]) ).
fof(f10016,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| k6_autgroup(sK22,k2_group_1(sK22)) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,X0),k6_autgroup(sK22,k3_group_1(sK22,X0))) ),
inference(forward_subsumption_resolution,[],[f10015,f6368]) ).
fof(f10017,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| k2_group_1(k3_autgroup(sK22)) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,X0),k6_autgroup(sK22,k3_group_1(sK22,X0))) ),
inference(forward_demodulation,[],[f10016,f9967]) ).
fof(f10018,plain,
k2_group_1(k3_autgroup(sK22)) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),k6_autgroup(sK22,k3_group_1(sK22,sK23))),
inference(resolution,[],[f10017,f6373]) ).
fof(f10094,plain,
! [X2,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(X2))
| ~ m1_group_2(X2,k3_autgroup(X0))
| m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| ~ l1_group_1(k3_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f9829,f6279]) ).
fof(f10097,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,[],[f9939,f6372]) ).
fof(f10098,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,[],[f9946,f6283]) ).
fof(f10135,plain,
! [X2,X0,X1] :
( ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_group_2(X2,k3_autgroup(X0))
| m1_subset_1(X1,u1_struct_0(k3_autgroup(X0))) ),
inference(forward_subsumption_resolution,[],[f10094,f6275]) ).
fof(f10138,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,[],[f10097,f6371]) ).
fof(f10139,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,[],[f10098,f6281]) ).
fof(f10159,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,[],[f10138,f6370]) ).
fof(f10179,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,[],[f10159,f6369]) ).
fof(f10198,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,[],[f10179,f6368]) ).
fof(f10253,plain,
m2_fraenkel(k6_autgroup(sK22,sK23),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22)),
inference(resolution,[],[f10198,f6373]) ).
fof(f10254,plain,
! [X0] :
( m2_fraenkel(k6_autgroup(sK22,k3_group_1(sK22,X0)),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| v3_struct_0(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) ),
inference(resolution,[],[f10198,f6842]) ).
fof(f10257,plain,
! [X0] :
( m2_fraenkel(k6_autgroup(sK22,k3_group_1(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,[],[f10254,f6372]) ).
fof(f10258,plain,
! [X0] :
( m2_fraenkel(k6_autgroup(sK22,k3_group_1(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,[],[f10257,f6370]) ).
fof(f10259,plain,
! [X0] :
( m2_fraenkel(k6_autgroup(sK22,k3_group_1(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,[],[f10258,f6369]) ).
fof(f10260,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| m2_fraenkel(k6_autgroup(sK22,k3_group_1(sK22,X0)),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22)) ),
inference(forward_subsumption_resolution,[],[f10259,f6368]) ).
fof(f10266,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),X0) = k1_group_1(k3_autgroup(sK22),X0,k6_autgroup(sK22,sK23))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22)))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f10253,f9135]) ).
fof(f10267,plain,
( ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| k2_funct_1(k6_autgroup(sK22,sK23)) = k3_group_1(k3_autgroup(sK22),k6_autgroup(sK22,sK23))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f10253,f9136]) ).
fof(f10268,plain,
( ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| k2_funct_1(k6_autgroup(sK22,sK23)) = k3_group_1(k3_autgroup(sK22),k6_autgroup(sK22,sK23))
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10267,f6372]) ).
fof(f10269,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),X0) = k1_group_1(k3_autgroup(sK22),X0,k6_autgroup(sK22,sK23))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22)))
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10266,f6372]) ).
fof(f10275,plain,
( ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| k2_funct_1(k6_autgroup(sK22,sK23)) = k3_group_1(k3_autgroup(sK22),k6_autgroup(sK22,sK23))
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10268,f6371]) ).
fof(f10276,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),X0) = k1_group_1(k3_autgroup(sK22),X0,k6_autgroup(sK22,sK23))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22)))
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10269,f6371]) ).
fof(f10282,plain,
( ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| k2_funct_1(k6_autgroup(sK22,sK23)) = k3_group_1(k3_autgroup(sK22),k6_autgroup(sK22,sK23))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10275,f6370]) ).
fof(f10283,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),X0) = k1_group_1(k3_autgroup(sK22),X0,k6_autgroup(sK22,sK23))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22)))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10276,f6370]) ).
fof(f10289,plain,
( ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| k2_funct_1(k6_autgroup(sK22,sK23)) = k3_group_1(k3_autgroup(sK22),k6_autgroup(sK22,sK23))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10282,f6369]) ).
fof(f10290,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),X0) = k1_group_1(k3_autgroup(sK22),X0,k6_autgroup(sK22,sK23))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22)))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10283,f6369]) ).
fof(f10296,plain,
( ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| k2_funct_1(k6_autgroup(sK22,sK23)) = k3_group_1(k3_autgroup(sK22),k6_autgroup(sK22,sK23)) ),
inference(forward_subsumption_resolution,[],[f10289,f6368]) ).
fof(f10297,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),X0) = k1_group_1(k3_autgroup(sK22),X0,k6_autgroup(sK22,sK23))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22))) ),
inference(forward_subsumption_resolution,[],[f10290,f6368]) ).
fof(f10304,definition,
( spl346_42
<=> k2_funct_1(k6_autgroup(sK22,sK23)) = k3_group_1(k3_autgroup(sK22),k6_autgroup(sK22,sK23)) ),
introduced(definition,[new_symbols(definition,[spl346_42])],[avatar_definition]) ).
fof(f10305,plain,
( k2_funct_1(k6_autgroup(sK22,sK23)) = k3_group_1(k3_autgroup(sK22),k6_autgroup(sK22,sK23))
| ~ spl346_42 ),
inference(avatar_component_clause,[],[f10304]) ).
fof(f10307,definition,
( spl346_43
<=> m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22))) ),
introduced(definition,[new_symbols(definition,[spl346_43])],[avatar_definition]) ).
fof(f10308,plain,
( ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| spl346_43 ),
inference(avatar_component_clause,[],[f10307]) ).
fof(f10309,plain,
( spl346_42
| ~ spl346_43 ),
inference(avatar_split_clause,[],[f10296,f10307,f10304]) ).
fof(f10311,definition,
( spl346_44
<=> ! [X0] :
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),X0) = k1_group_1(k3_autgroup(sK22),X0,k6_autgroup(sK22,sK23))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22)))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22)) ) ),
introduced(definition,[new_symbols(definition,[spl346_44])],[avatar_definition]) ).
fof(f10312,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22)))
| k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),X0) = k1_group_1(k3_autgroup(sK22),X0,k6_autgroup(sK22,sK23))
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22)) )
| ~ spl346_44 ),
inference(avatar_component_clause,[],[f10311]) ).
fof(f10313,plain,
( ~ spl346_43
| spl346_44 ),
inference(avatar_split_clause,[],[f10297,f10311,f10307]) ).
fof(f10325,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,[],[f10139,f6369]) ).
fof(f10331,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,[],[f10325,f6372]) ).
fof(f10332,plain,
( ~ v3_group_1(sK22)
| k4_autgroup(sK22) = u1_struct_0(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10331,f6371]) ).
fof(f10333,plain,
( k4_autgroup(sK22) = u1_struct_0(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10332,f6370]) ).
fof(f10334,plain,
k4_autgroup(sK22) = u1_struct_0(k5_autgroup(sK22)),
inference(forward_subsumption_resolution,[],[f10333,f6368]) ).
fof(f10665,plain,
m2_fraenkel(k6_autgroup(sK22,k3_group_1(sK22,sK23)),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22)),
inference(resolution,[],[f10260,f6373]) ).
fof(f11337,definition,
( spl346_155
<=> v1_xboole_0(u1_struct_0(sK22)) ),
introduced(definition,[new_symbols(definition,[spl346_155])],[avatar_definition]) ).
fof(f11338,plain,
( v1_xboole_0(u1_struct_0(sK22))
| ~ spl346_155 ),
inference(avatar_component_clause,[],[f11337]) ).
fof(f11343,plain,
( v3_struct_0(sK22)
| ~ l1_struct_0(sK22)
| ~ spl346_155 ),
inference(resolution,[],[f11338,f7797]) ).
fof(f11344,plain,
( ~ l1_struct_0(sK22)
| ~ spl346_155 ),
inference(forward_subsumption_resolution,[],[f11343,f6372]) ).
fof(f11346,plain,
( ~ l1_group_1(sK22)
| ~ spl346_155 ),
inference(resolution,[],[f11344,f7786]) ).
fof(f11348,plain,
( $false
| ~ spl346_155 ),
inference(forward_subsumption_resolution,[],[f11346,f6368]) ).
fof(f11349,plain,
~ spl346_155,
inference(avatar_contradiction_clause,[],[f11348]) ).
fof(f11367,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),k4_autgroup(sK22))
| v1_xboole_0(u1_struct_0(sK22))
| m1_subset_1(X0,k4_autgroup(sK22)) ),
inference(resolution,[],[f9941,f6370]) ).
fof(f11370,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),k4_autgroup(sK22))
| v1_xboole_0(u1_struct_0(sK22))
| m1_subset_1(X0,k4_autgroup(sK22)) ),
inference(forward_subsumption_resolution,[],[f11367,f6371]) ).
fof(f11372,plain,
! [X0] :
( ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| v1_xboole_0(u1_struct_0(sK22))
| m1_subset_1(X0,k4_autgroup(sK22)) ),
inference(forward_subsumption_resolution,[],[f11370,f6372]) ).
fof(f11374,plain,
! [X0] :
( ~ l1_group_1(sK22)
| ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| v1_xboole_0(u1_struct_0(sK22))
| m1_subset_1(X0,k4_autgroup(sK22)) ),
inference(forward_subsumption_resolution,[],[f11372,f6369]) ).
fof(f11376,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| v1_xboole_0(u1_struct_0(sK22))
| m1_subset_1(X0,k4_autgroup(sK22)) ),
inference(forward_subsumption_resolution,[],[f11374,f6368]) ).
fof(f11378,definition,
( spl346_157
<=> ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| m1_subset_1(X0,k4_autgroup(sK22)) ) ),
introduced(definition,[new_symbols(definition,[spl346_157])],[avatar_definition]) ).
fof(f11379,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK22),u1_struct_0(sK22),k4_autgroup(sK22))
| m1_subset_1(X0,k4_autgroup(sK22)) )
| ~ spl346_157 ),
inference(avatar_component_clause,[],[f11378]) ).
fof(f11380,plain,
( spl346_155
| spl346_157 ),
inference(avatar_split_clause,[],[f11376,f11378,f11337]) ).
fof(f11384,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_157 ),
inference(resolution,[],[f11379,f6284]) ).
fof(f11392,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_157 ),
inference(forward_subsumption_resolution,[],[f11384,f6372]) ).
fof(f11396,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_157 ),
inference(forward_subsumption_resolution,[],[f11392,f6371]) ).
fof(f11398,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_157 ),
inference(forward_subsumption_resolution,[],[f11396,f6370]) ).
fof(f11400,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_157 ),
inference(forward_subsumption_resolution,[],[f11398,f6369]) ).
fof(f11402,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| m1_subset_1(k6_autgroup(sK22,X0),k4_autgroup(sK22)) )
| ~ spl346_157 ),
inference(forward_subsumption_resolution,[],[f11400,f6368]) ).
fof(f11405,plain,
( m1_subset_1(k6_autgroup(sK22,sK23),k4_autgroup(sK22))
| ~ spl346_157 ),
inference(resolution,[],[f11402,f6373]) ).
fof(f11406,plain,
( ! [X0] :
( m1_subset_1(k6_autgroup(sK22,k3_group_1(sK22,X0)),k4_autgroup(sK22))
| v3_struct_0(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_157 ),
inference(resolution,[],[f11402,f6842]) ).
fof(f11409,plain,
( ! [X0] :
( m1_subset_1(k6_autgroup(sK22,k3_group_1(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_157 ),
inference(forward_subsumption_resolution,[],[f11406,f6372]) ).
fof(f11410,plain,
( ! [X0] :
( m1_subset_1(k6_autgroup(sK22,k3_group_1(sK22,X0)),k4_autgroup(sK22))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_157 ),
inference(forward_subsumption_resolution,[],[f11409,f6370]) ).
fof(f11411,plain,
( ! [X0] :
( m1_subset_1(k6_autgroup(sK22,k3_group_1(sK22,X0)),k4_autgroup(sK22))
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(sK22)) )
| ~ spl346_157 ),
inference(forward_subsumption_resolution,[],[f11410,f6369]) ).
fof(f11412,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| m1_subset_1(k6_autgroup(sK22,k3_group_1(sK22,X0)),k4_autgroup(sK22)) )
| ~ spl346_157 ),
inference(forward_subsumption_resolution,[],[f11411,f6368]) ).
fof(f11417,plain,
( m1_subset_1(k6_autgroup(sK22,k3_group_1(sK22,sK23)),k4_autgroup(sK22))
| ~ spl346_157 ),
inference(resolution,[],[f11412,f6373]) ).
fof(f18211,plain,
! [X0,X1] :
( ~ v1_group_1(sK22)
| v3_struct_0(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,k3_autgroup(sK22))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22))) ),
inference(resolution,[],[f10135,f6370]) ).
fof(f18214,plain,
! [X0,X1] :
( v3_struct_0(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,k3_autgroup(sK22))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22))) ),
inference(forward_subsumption_resolution,[],[f18211,f6371]) ).
fof(f18216,plain,
! [X0,X1] :
( ~ v4_group_1(sK22)
| ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,k3_autgroup(sK22))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22))) ),
inference(forward_subsumption_resolution,[],[f18214,f6372]) ).
fof(f18218,plain,
! [X0,X1] :
( ~ l1_group_1(sK22)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,k3_autgroup(sK22))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22))) ),
inference(forward_subsumption_resolution,[],[f18216,f6369]) ).
fof(f18220,plain,
! [X0,X1] :
( ~ m1_group_2(X1,k3_autgroup(sK22))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22))) ),
inference(forward_subsumption_resolution,[],[f18218,f6368]) ).
fof(f18222,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK22)))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22)))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f18220,f6281]) ).
fof(f18223,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK22)))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22)))
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f18222,f6372]) ).
fof(f18224,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK22)))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22)))
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f18223,f6371]) ).
fof(f18225,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK22)))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22)))
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f18224,f6370]) ).
fof(f18226,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK22)))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22)))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f18225,f6369]) ).
fof(f18227,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK22)))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22))) ),
inference(forward_subsumption_resolution,[],[f18226,f6368]) ).
fof(f18228,plain,
! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK22))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(sK22))) ),
inference(forward_demodulation,[],[f18227,f10334]) ).
fof(f18233,plain,
( m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| ~ spl346_157 ),
inference(resolution,[],[f18228,f11405]) ).
fof(f18234,plain,
( m1_subset_1(k6_autgroup(sK22,k3_group_1(sK22,sK23)),u1_struct_0(k3_autgroup(sK22)))
| ~ spl346_157 ),
inference(resolution,[],[f18228,f11417]) ).
fof(f18252,plain,
( $false
| spl346_43
| ~ spl346_157 ),
inference(forward_subsumption_resolution,[],[f18233,f10308]) ).
fof(f18253,plain,
( spl346_43
| ~ spl346_157 ),
inference(avatar_contradiction_clause,[],[f18252]) ).
fof(f19002,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,[],[f6416,f6277]) ).
fof(f19003,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,[],[f19002,f6279]) ).
fof(f19005,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,[],[f19003,f6275]) ).
fof(f19008,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,[],[f19005,f6370]) ).
fof(f19011,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,[],[f19008,f6372]) ).
fof(f19013,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,[],[f19011,f6371]) ).
fof(f19015,plain,
! [X0] :
( l1_group_1(X0)
| ~ m1_group_2(X0,k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f19013,f6369]) ).
fof(f19017,plain,
! [X0] :
( ~ m1_group_2(X0,k3_autgroup(sK22))
| l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f19015,f6368]) ).
fof(f19018,plain,
( l1_group_1(k3_autgroup(sK22))
| ~ spl346_18 ),
inference(resolution,[],[f19017,f9879]) ).
fof(f21297,plain,
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),k6_autgroup(sK22,k3_group_1(sK22,sK23))) = k1_group_1(k3_autgroup(sK22),k6_autgroup(sK22,k3_group_1(sK22,sK23)),k6_autgroup(sK22,sK23))
| ~ m2_fraenkel(k6_autgroup(sK22,k3_group_1(sK22,sK23)),u1_struct_0(sK22),u1_struct_0(sK22),k1_autgroup(sK22))
| ~ spl346_44
| ~ spl346_157 ),
inference(resolution,[],[f10312,f18234]) ).
fof(f21299,plain,
( k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),k6_autgroup(sK22,k3_group_1(sK22,sK23))) = k1_group_1(k3_autgroup(sK22),k6_autgroup(sK22,k3_group_1(sK22,sK23)),k6_autgroup(sK22,sK23))
| ~ spl346_44
| ~ spl346_157 ),
inference(forward_subsumption_resolution,[],[f21297,f10665]) ).
fof(f21304,plain,
( k2_group_1(k3_autgroup(sK22)) = k1_group_1(k3_autgroup(sK22),k6_autgroup(sK22,k3_group_1(sK22,sK23)),k6_autgroup(sK22,sK23))
| ~ spl346_44
| ~ spl346_157 ),
inference(forward_demodulation,[],[f21299,f10018]) ).
fof(f21349,plain,
( k2_group_1(k3_autgroup(sK22)) != k2_group_1(k3_autgroup(sK22))
| k6_autgroup(sK22,k3_group_1(sK22,sK23)) = k3_group_1(k3_autgroup(sK22),k6_autgroup(sK22,sK23))
| ~ m1_subset_1(k6_autgroup(sK22,k3_group_1(sK22,sK23)),u1_struct_0(k3_autgroup(sK22)))
| ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| v3_struct_0(k3_autgroup(sK22))
| ~ v3_group_1(k3_autgroup(sK22))
| ~ v4_group_1(k3_autgroup(sK22))
| ~ l1_group_1(k3_autgroup(sK22))
| ~ spl346_44
| ~ spl346_157 ),
inference(superposition,[],[f6854,f21304]) ).
fof(f21350,plain,
( k6_autgroup(sK22,k3_group_1(sK22,sK23)) = k3_group_1(k3_autgroup(sK22),k6_autgroup(sK22,sK23))
| ~ m1_subset_1(k6_autgroup(sK22,k3_group_1(sK22,sK23)),u1_struct_0(k3_autgroup(sK22)))
| ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| v3_struct_0(k3_autgroup(sK22))
| ~ v3_group_1(k3_autgroup(sK22))
| ~ v4_group_1(k3_autgroup(sK22))
| ~ l1_group_1(k3_autgroup(sK22))
| ~ spl346_44
| ~ spl346_157 ),
inference(trivial_inequality_removal,[],[f21349]) ).
fof(f21352,plain,
( k6_autgroup(sK22,k3_group_1(sK22,sK23)) = k3_group_1(k3_autgroup(sK22),k6_autgroup(sK22,sK23))
| ~ m1_subset_1(k6_autgroup(sK22,sK23),u1_struct_0(k3_autgroup(sK22)))
| v3_struct_0(k3_autgroup(sK22))
| ~ v3_group_1(k3_autgroup(sK22))
| ~ v4_group_1(k3_autgroup(sK22))
| ~ l1_group_1(k3_autgroup(sK22))
| ~ spl346_44
| ~ spl346_157 ),
inference(forward_subsumption_resolution,[],[f21350,f18234]) ).
fof(f21354,plain,
( k6_autgroup(sK22,k3_group_1(sK22,sK23)) = k3_group_1(k3_autgroup(sK22),k6_autgroup(sK22,sK23))
| v3_struct_0(k3_autgroup(sK22))
| ~ v3_group_1(k3_autgroup(sK22))
| ~ v4_group_1(k3_autgroup(sK22))
| ~ l1_group_1(k3_autgroup(sK22))
| ~ spl346_44
| ~ spl346_157 ),
inference(forward_subsumption_resolution,[],[f21352,f18233]) ).
fof(f21356,plain,
( k6_autgroup(sK22,k3_group_1(sK22,sK23)) = k3_group_1(k3_autgroup(sK22),k6_autgroup(sK22,sK23))
| v3_struct_0(k3_autgroup(sK22))
| ~ v3_group_1(k3_autgroup(sK22))
| ~ l1_group_1(k3_autgroup(sK22))
| ~ spl346_44
| ~ spl346_157 ),
inference(forward_subsumption_resolution,[],[f21354,f9834]) ).
fof(f21358,plain,
( k6_autgroup(sK22,k3_group_1(sK22,sK23)) = k3_group_1(k3_autgroup(sK22),k6_autgroup(sK22,sK23))
| v3_struct_0(k3_autgroup(sK22))
| ~ v3_group_1(k3_autgroup(sK22))
| ~ spl346_18
| ~ spl346_44
| ~ spl346_157 ),
inference(forward_subsumption_resolution,[],[f21356,f19018]) ).
fof(f21360,plain,
( k6_autgroup(sK22,k3_group_1(sK22,sK23)) = k2_funct_1(k6_autgroup(sK22,sK23))
| v3_struct_0(k3_autgroup(sK22))
| ~ v3_group_1(k3_autgroup(sK22))
| ~ spl346_18
| ~ spl346_42
| ~ spl346_44
| ~ spl346_157 ),
inference(forward_demodulation,[],[f21358,f10305]) ).
fof(f21362,plain,
( v3_struct_0(k3_autgroup(sK22))
| ~ v3_group_1(k3_autgroup(sK22))
| ~ spl346_18
| ~ spl346_42
| ~ spl346_44
| ~ spl346_157 ),
inference(forward_subsumption_resolution,[],[f21360,f6374]) ).
fof(f21364,plain,
( ~ spl346_10
| spl346_11
| ~ spl346_18
| ~ spl346_42
| ~ spl346_44
| ~ spl346_157 ),
inference(avatar_split_clause,[],[f21362,f11378,f10311,f10304,f9878,f9851,f9848]) ).
cnf(s11,plain,
( ~ spl346_9
| ~ spl346_10
| spl346_11
| spl346_18 ),
inference(sat_conversion,[],[f9880]) ).
cnf(s14,plain,
spl346_9,
inference(sat_conversion,[],[f9894]) ).
cnf(s15,plain,
spl346_10,
inference(sat_conversion,[],[f9897]) ).
cnf(s16,plain,
~ spl346_11,
inference(sat_conversion,[],[f9900]) ).
cnf(s43,plain,
( spl346_42
| ~ spl346_43 ),
inference(sat_conversion,[],[f10309]) ).
cnf(s44,plain,
( ~ spl346_43
| spl346_44 ),
inference(sat_conversion,[],[f10313]) ).
cnf(s138,plain,
~ spl346_155,
inference(sat_conversion,[],[f11349]) ).
cnf(s139,plain,
( spl346_155
| spl346_157 ),
inference(sat_conversion,[],[f11380]) ).
cnf(s371,plain,
( spl346_43
| ~ spl346_157 ),
inference(sat_conversion,[],[f18253]) ).
cnf(s566,plain,
( ~ spl346_10
| spl346_11
| ~ spl346_18
| ~ spl346_42
| ~ spl346_44
| ~ spl346_157 ),
inference(sat_conversion,[],[f21364]) ).
cnf(s582,plain,
spl346_157,
inference(rat,[],[s139,s138]) ).
cnf(s584,plain,
spl346_43,
inference(rat,[],[s371,s582]) ).
cnf(s631,plain,
spl346_44,
inference(rat,[],[s44,s584]) ).
cnf(s632,plain,
spl346_42,
inference(rat,[],[s43,s584]) ).
cnf(s635,plain,
~ spl346_18,
inference(rat,[],[s566,s582,s631,s632,s16,s15]) ).
cnf(s670,plain,
$false,
inference(rat,[],[s11,s635,s16,s15,s14]) ).
fof(f21365,plain,
$false,
inference(avatar_sat_refutation,[],[s670]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP630+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:16:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 11.63/2.68 % (3165358)Detected formulas, will run a generic FOF schedule.
% 11.63/2.68 % (3165367)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3058004435:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 11.63/2.68 % (3165363)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=1975800790:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 11.63/2.68 % (3165368)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3416960097:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 11.63/2.68 % (3165364)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=781803007:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 11.63/2.68 % (3165366)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=279008888:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 11.63/2.68 % (3165365)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=272570021:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 11.63/2.68 % (3165369)dis-21_1_sil=8000:lcm=predicate:random_seed=335260544:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 11.63/2.68 % (3165367)Instruction limit reached!
% 11.63/2.68 % (3165367)------------------------------
% 11.63/2.68 % (3165367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.68 % (3165367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.68 % (3165367)CaDiCaL version: 2.1.3
% 11.63/2.68 % (3165367)Termination reason: Instruction limit
% 11.63/2.68 % (3165367)Termination phase: Saturation
% 11.63/2.68 % (3165367)Time elapsed: 0.046 s
% 11.63/2.68 % (3165367)Peak memory usage: 94 MB
% 11.63/2.68 % (3165367)Instructions burned: 121 (million)
% 11.63/2.68 % (3165366)Instruction limit reached!
% 11.63/2.68 % (3165366)------------------------------
% 11.63/2.68 % (3165366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.68 % (3165366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.68 % (3165366)CaDiCaL version: 2.1.3
% 11.63/2.68 % (3165366)Termination reason: Instruction limit
% 11.63/2.68 % (3165366)Termination phase: Saturation
% 11.63/2.68 % (3165366)Time elapsed: 0.059 s
% 11.63/2.68 % (3165366)Peak memory usage: 93 MB
% 11.63/2.68 % (3165366)Instructions burned: 111 (million)
% 11.63/2.68 % (3165368)Instruction limit reached!
% 11.63/2.68 % (3165368)------------------------------
% 11.63/2.68 % (3165368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.68 % (3165368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.68 % (3165368)CaDiCaL version: 2.1.3
% 11.63/2.68 % (3165368)Termination reason: Instruction limit
% 11.63/2.68 % (3165368)Termination phase: Preprocessing 3
% 11.63/2.68 % (3165368)Time elapsed: 0.087 s
% 11.63/2.68 % (3165368)Peak memory usage: 94 MB
% 11.63/2.68 % (3165368)Instructions burned: 141 (million)
% 11.63/2.68 % (3165369)Instruction limit reached!
% 11.63/2.68 % (3165369)------------------------------
% 11.63/2.68 % (3165369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.68 % (3165369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.68 % (3165369)CaDiCaL version: 2.1.3
% 11.63/2.68 % (3165369)Termination reason: Instruction limit
% 11.63/2.68 % (3165369)Termination phase: Preprocessing 3
% 11.63/2.68 % (3165369)Time elapsed: 0.091 s
% 11.63/2.68 % (3165369)Peak memory usage: 94 MB
% 11.63/2.68 % (3165369)Instructions burned: 130 (million)
% 11.63/2.68 % (3165377)lrs+10_1_sil=8000:sp=occurrence:random_seed=2285524258:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 11.63/2.68 % (3165378)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3539120110:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.63/2.68 % (3165379)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3716736272:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.63/2.68 % (3165377)Instruction limit reached!
% 11.63/2.68 % (3165377)------------------------------
% 11.63/2.68 % (3165377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/2.68 % (3165377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.57 % (3165377)CaDiCaL version: 2.1.3
% 17.73/3.57 % (3165377)Termination reason: Instruction limit
% 17.73/3.57 % (3165377)Termination phase: Saturation
% 17.73/3.57 % (3165377)Time elapsed: 0.101 s
% 17.73/3.57 % (3165377)Peak memory usage: 98 MB
% 17.73/3.57 % (3165377)Instructions burned: 285 (million)
% 17.73/3.57 % (3165380)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=2310526890:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 17.73/3.57 % (3165378)Instruction limit reached!
% 17.73/3.57 % (3165378)------------------------------
% 17.73/3.57 % (3165378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.57 % (3165378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.57 % (3165378)CaDiCaL version: 2.1.3
% 17.73/3.57 % (3165378)Termination reason: Instruction limit
% 17.73/3.57 % (3165378)Termination phase: Saturation
% 17.73/3.57 % (3165378)Time elapsed: 0.083 s
% 17.73/3.57 % (3165378)Peak memory usage: 94 MB
% 17.73/3.57 % (3165378)Instructions burned: 159 (million)
% 17.73/3.57 % (3165384)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2136979839:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 17.73/3.57 % (3165380)Instruction limit reached!
% 17.73/3.57 % (3165380)------------------------------
% 17.73/3.57 % (3165380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.57 % (3165380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.57 % (3165380)CaDiCaL version: 2.1.3
% 17.73/3.57 % (3165380)Termination reason: Instruction limit
% 17.73/3.57 % (3165380)Termination phase: Property scanning
% 17.73/3.57 % (3165380)Time elapsed: 0.145 s
% 17.73/3.57 % (3165380)Peak memory usage: 97 MB
% 17.73/3.57 % (3165380)Instructions burned: 249 (million)
% 17.73/3.57 % (3165379)Instruction limit reached!
% 17.73/3.57 % (3165379)------------------------------
% 17.73/3.57 % (3165379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.57 % (3165379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.57 % (3165379)CaDiCaL version: 2.1.3
% 17.73/3.57 % (3165379)Termination reason: Instruction limit
% 17.73/3.57 % (3165379)Termination phase: Saturation
% 17.73/3.57 % (3165379)Time elapsed: 0.208 s
% 17.73/3.57 % (3165379)Peak memory usage: 95 MB
% 17.73/3.57 % (3165379)Instructions burned: 326 (million)
% 17.73/3.57 % (3165386)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1887704593:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 17.73/3.57 % (3165384)Instruction limit reached!
% 17.73/3.57 % (3165384)------------------------------
% 17.73/3.57 % (3165384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.57 % (3165384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.57 % (3165384)CaDiCaL version: 2.1.3
% 17.73/3.57 % (3165384)Termination reason: Instruction limit
% 17.73/3.57 % (3165384)Termination phase: Saturation
% 17.73/3.57 % (3165384)Time elapsed: 0.089 s
% 17.73/3.57 % (3165384)Peak memory usage: 96 MB
% 17.73/3.57 % (3165384)Instructions burned: 295 (million)
% 17.73/3.57 % (3165388)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3195243429:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 17.73/3.57 % (3165391)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2279582782:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 17.73/3.57 % (3165389)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1763982205:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 17.73/3.57 % (3165391)Instruction limit reached!
% 17.73/3.57 % (3165391)------------------------------
% 17.73/3.57 % (3165391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.57 % (3165391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.57 % (3165391)CaDiCaL version: 2.1.3
% 17.73/3.57 % (3165391)Termination reason: Instruction limit
% 17.73/3.57 % (3165391)Termination phase: Unused predicate definition removal
% 17.73/3.57 % (3165391)Time elapsed: 0.031 s
% 17.73/3.57 % (3165391)Peak memory usage: 90 MB
% 17.73/3.57 % (3165391)Instructions burned: 116 (million)
% 17.73/3.57 % (3165388)Instruction limit reached!
% 17.73/3.57 % (3165388)------------------------------
% 17.73/3.57 % (3165388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.20 % (3165388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.20 % (3165388)CaDiCaL version: 2.1.3
% 22.70/4.20 % (3165388)Termination reason: Instruction limit
% 22.70/4.20 % (3165388)Termination phase: Property scanning
% 22.70/4.20 % (3165388)Time elapsed: 0.068 s
% 22.70/4.20 % (3165388)Peak memory usage: 93 MB
% 22.70/4.20 % (3165388)Instructions burned: 115 (million)
% 22.70/4.20 % (3165389)Instruction limit reached!
% 22.70/4.20 % (3165389)------------------------------
% 22.70/4.20 % (3165389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.20 % (3165389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.20 % (3165389)CaDiCaL version: 2.1.3
% 22.70/4.20 % (3165389)Termination reason: Instruction limit
% 22.70/4.20 % (3165389)Termination phase: Preprocessing 3
% 22.70/4.20 % (3165389)Time elapsed: 0.084 s
% 22.70/4.20 % (3165389)Peak memory usage: 96 MB
% 22.70/4.20 % (3165389)Instructions burned: 127 (million)
% 22.70/4.20 % (3165395)lrs+10_1_sil=8000:sp=occurrence:random_seed=1429866749:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 22.70/4.20 % (3165396)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=935413912:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 22.70/4.20 % (3165397)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=166104966:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 22.70/4.20 % (3165396)Instruction limit reached!
% 22.70/4.20 % (3165396)------------------------------
% 22.70/4.20 % (3165396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.20 % (3165396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.20 % (3165396)CaDiCaL version: 2.1.3
% 22.70/4.20 % (3165396)Termination reason: Instruction limit
% 22.70/4.20 % (3165396)Termination phase: Saturation
% 22.70/4.20 % (3165396)Time elapsed: 0.199 s
% 22.70/4.20 % (3165396)Peak memory usage: 94 MB
% 22.70/4.20 % (3165396)Instructions burned: 439 (million)
% 22.70/4.20 % (3165395)Instruction limit reached!
% 22.70/4.20 % (3165395)------------------------------
% 22.70/4.20 % (3165395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.20 % (3165395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.20 % (3165395)CaDiCaL version: 2.1.3
% 22.70/4.20 % (3165395)Termination reason: Instruction limit
% 22.70/4.20 % (3165395)Termination phase: Saturation
% 22.70/4.20 % (3165395)Time elapsed: 0.321 s
% 22.70/4.20 % (3165395)Peak memory usage: 106 MB
% 22.70/4.20 % (3165395)Instructions burned: 908 (million)
% 22.70/4.20 % (3165401)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3402873473:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 22.70/4.20 % (3165402)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1996706490:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 22.70/4.20 % (3165401)Instruction limit reached!
% 22.70/4.20 % (3165401)------------------------------
% 22.70/4.20 % (3165401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.20 % (3165401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.20 % (3165401)CaDiCaL version: 2.1.3
% 22.70/4.20 % (3165401)Termination reason: Instruction limit
% 22.70/4.20 % (3165401)Termination phase: Saturation
% 22.70/4.20 % (3165401)Time elapsed: 0.085 s
% 22.70/4.20 % (3165401)Peak memory usage: 96 MB
% 22.70/4.20 % (3165401)Instructions burned: 135 (million)
% 22.70/4.20 % (3165402)Instruction limit reached!
% 22.70/4.20 % (3165402)------------------------------
% 22.70/4.20 % (3165402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.20 % (3165402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.20 % (3165402)CaDiCaL version: 2.1.3
% 22.70/4.20 % (3165402)Termination reason: Instruction limit
% 22.70/4.20 % (3165402)Termination phase: Saturation
% 22.70/4.20 % (3165402)Time elapsed: 0.182 s
% 22.70/4.20 % (3165402)Peak memory usage: 106 MB
% 22.70/4.20 % (3165402)Instructions burned: 594 (million)
% 22.70/4.20 % (3165405)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1941218527:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 22.70/4.20 % (3165406)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=4167718274:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 22.70/4.20 % (3165406)Instruction limit reached!
% 22.70/4.20 % (3165406)------------------------------
% 22.70/4.20 % (3165406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.20 % (3165406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.20 % (3165406)CaDiCaL version: 2.1.3
% 22.70/4.20 % (3165406)Termination reason: Instruction limit
% 22.70/4.20 % (3165406)Termination phase: Property scanning
% 22.70/4.20 % (3165406)Time elapsed: 0.040 s
% 22.70/4.20 % (3165406)Peak memory usage: 92 MB
% 22.70/4.20 % (3165406)Instructions burned: 129 (million)
% 22.70/4.20 % (3165409)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=400544212:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 22.70/4.20 % (3165409)Instruction limit reached!
% 22.70/4.20 % (3165409)------------------------------
% 22.70/4.20 % (3165409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.20 % (3165409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.20 % (3165409)CaDiCaL version: 2.1.3
% 22.70/4.20 % (3165409)Termination reason: Instruction limit
% 22.70/4.20 % (3165409)Termination phase: Preprocessing 1
% 22.70/4.20 % (3165409)Time elapsed: 0.038 s
% 22.70/4.20 % (3165409)Peak memory usage: 90 MB
% 22.70/4.20 % (3165409)Instructions burned: 135 (million)
% 22.70/4.20 % (3165411)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=459562824:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 22.70/4.20 % (3165411)Instruction limit reached!
% 22.70/4.20 % (3165411)------------------------------
% 22.70/4.20 % (3165411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.20 % (3165411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.20 % (3165411)CaDiCaL version: 2.1.3
% 22.70/4.20 % (3165411)Termination reason: Instruction limit
% 22.70/4.20 % (3165411)Termination phase: Saturation
% 22.70/4.20 % (3165411)Time elapsed: 0.042 s
% 22.70/4.20 % (3165411)Peak memory usage: 94 MB
% 22.70/4.20 % (3165411)Instructions burned: 146 (million)
% 22.70/4.20 % (3165386)Instruction limit reached!
% 22.70/4.20 % (3165386)------------------------------
% 22.70/4.20 % (3165386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.20 % (3165386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.20 % (3165386)CaDiCaL version: 2.1.3
% 22.70/4.20 % (3165386)Termination reason: Instruction limit
% 22.70/4.20 % (3165386)Termination phase: Saturation
% 22.70/4.20 % (3165386)Time elapsed: 1.492 s
% 22.70/4.20 % (3165386)Peak memory usage: 226 MB
% 22.70/4.20 % (3165386)Instructions burned: 2351 (million)
% 22.70/4.20 % (3165413)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1254392179:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 22.70/4.20 % (3165413)Refutation not found, incomplete strategy
% 22.70/4.20 % (3165413)------------------------------
% 22.70/4.20 % (3165413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.20 % (3165413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.20 % (3165413)CaDiCaL version: 2.1.3
% 22.70/4.20 % (3165413)Termination reason: Refutation not found, incomplete strategy
% 22.70/4.20 % (3165413)Time elapsed: 0.013 s
% 22.70/4.20 % (3165413)Peak memory usage: 93 MB
% 22.70/4.20 % (3165413)Instructions burned: 30 (million)
% 22.70/4.20 % (3165414)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=1426217271:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 22.70/4.20 % (3165413)------------------------------
% 22.70/4.20 % (3165413)------------------------------
% 22.70/4.20 % (3165417)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=205878924:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 22.70/4.20 % (3165417)Instruction limit reached!
% 22.70/4.20 % (3165417)------------------------------
% 22.70/4.20 % (3165417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.20 % (3165417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.20 % (3165417)CaDiCaL version: 2.1.3
% 22.70/4.20 % (3165417)Termination reason: Instruction limit
% 22.70/4.20 % (3165417)Termination phase: Clausification
% 22.70/4.20 % (3165417)Time elapsed: 0.056 s
% 22.70/4.20 % (3165417)Peak memory usage: 96 MB
% 22.70/4.20 % (3165417)Instructions burned: 150 (million)
% 22.70/4.20 % (3165419)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3061552334:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 22.70/4.20 % (3165364)First to succeed.
% 22.70/4.20 % (3165364)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3165358"
% 22.70/4.20 % (3165364)Refutation found. Thanks to Tanya!
% 22.70/4.20 % SZS status Theorem for theBenchmark
% 22.70/4.20 % SZS output start Proof for theBenchmark
% See solution above
% 23.35/4.40 % (3165364)------------------------------
% 23.35/4.40 % (3165364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.35/4.40 % (3165364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.35/4.40 % (3165364)CaDiCaL version: 2.1.3
% 23.35/4.40 % (3165364)Termination reason: Refutation
% 23.35/4.40 % (3165364)Time elapsed: 2.731 s
% 23.35/4.40 % (3165364)Peak memory usage: 167 MB
% 23.35/4.40 % (3165364)Instructions burned: 4147 (million)
% 23.35/4.40 % (3165364)------------------------------
% 23.35/4.40 % (3165364)------------------------------
% 23.35/4.40 % (3165358)Success in time 3.344 s
% 23.35/4.40 % Vampire exiting
%------------------------------------------------------------------------------