%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP634+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 10:15:09 AM UTC 2026
% Result : Theorem 16.22s 4.21s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 35
% Syntax : Number of formulae : 347 ( 42 unt; 14 def)
% Number of atoms : 1868 ( 83 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 2656 (1135 ~;1264 |; 199 &)
% ( 20 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 15 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-2 aty)
% Number of variables : 182 ( 0 sgn 178 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3062,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> v4_group_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_group_2) ).
fof(f3117,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))
=> r1_rlvect_1(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_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(f3246,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( k14_group_2(X0,k6_group_2(X0)) = k1_tarski(u1_struct_0(X0))
& k15_group_2(X0,k6_group_2(X0)) = k1_tarski(u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t172_group_2) ).
fof(f3248,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)
& m1_group_2(X1,X0) )
=> ( k15_group_2(X0,X1) = k1_tarski(u1_struct_0(X0))
=> X1 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t174_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(f3273,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(k6_group_2(X0))
& m1_group_2(k6_group_2(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_group_2) ).
fof(f3505,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( r1_rlvect_1(k5_group_2(X1),X0)
<=> X0 = k2_group_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_group_5) ).
fof(f3603,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( m1_group_2(X1,k10_group_5(X0))
=> ( v1_group_3(X1,X0)
& m1_group_2(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_group_5) ).
fof(f3606,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(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
<=> k10_group_5(X0) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t94_group_5) ).
fof(f3628,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v1_group_3(X1,X0)
& m1_group_2(X1,X0) )
=> ( ~ v3_struct_0(k6_group_6(X0,X1))
& v1_group_1(k6_group_6(X0,X1))
& v2_group_1(k6_group_6(X0,X1))
& v3_group_1(k6_group_6(X0,X1))
& v4_group_1(k6_group_6(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_group_6) ).
fof(f3644,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v3_realset2(X0)
=> k5_group_2(X0) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_group_6) ).
fof(f3726,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> v3_realset2(k6_group_6(X0,k6_group_2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_group_6) ).
fof(f3730,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ( r2_group_6(X0,X1)
& v3_realset2(X0) )
=> v3_realset2(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t87_group_6) ).
fof(f3741,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( r2_group_6(X0,X1)
=> r2_group_6(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r2_group_6) ).
fof(f3751,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v1_group_3(X1,X0)
& m1_group_2(X1,X0) )
=> l1_group_1(k6_group_6(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_group_6) ).
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(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(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(f3846,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> r2_group_6(k5_autgroup(X0),k6_group_6(X0,k10_group_5(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_autgroup) ).
fof(f3847,conjecture,
! [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)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
=> X1 = k2_group_1(k5_autgroup(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_autgroup) ).
fof(f3848,negated_conjecture,
~ ! [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)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
=> X1 = k2_group_1(k5_autgroup(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f3847]) ).
fof(f3963,plain,
? [X0] :
( ? [X1] :
( k2_group_1(k5_autgroup(X0)) != X1
& m1_subset_1(X1,u1_struct_0(k5_autgroup(X0))) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_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(ennf_transformation,[],[f3848]) ).
fof(f3964,plain,
? [X0] :
( ? [X1] :
( k2_group_1(k5_autgroup(X0)) != X1
& m1_subset_1(X1,u1_struct_0(k5_autgroup(X0))) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_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(flattening,[],[f3963]) ).
fof(f3968,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(f3969,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,[],[f3968]) ).
fof(f3974,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(f3975,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,[],[f3974]) ).
fof(f3978,plain,
! [X0] :
( ! [X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3062]) ).
fof(f3979,plain,
! [X0] :
( ! [X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3978]) ).
fof(f4022,plain,
! [X0,X1] :
( ( r1_rlvect_1(k5_group_2(X1),X0)
<=> X0 = k2_group_1(X1) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(ennf_transformation,[],[f3505]) ).
fof(f4023,plain,
! [X0,X1] :
( ( r1_rlvect_1(k5_group_2(X1),X0)
<=> X0 = k2_group_1(X1) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(flattening,[],[f4022]) ).
fof(f4066,plain,
! [X0] :
( r2_group_6(k5_autgroup(X0),k6_group_6(X0,k10_group_5(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(f4067,plain,
! [X0] :
( r2_group_6(k5_autgroup(X0),k6_group_6(X0,k10_group_5(X0)))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f4066]) ).
fof(f4070,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(f4071,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,[],[f4070]) ).
fof(f4076,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(f4077,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,[],[f4076]) ).
fof(f4420,plain,
! [X0,X1] :
( l1_group_1(k6_group_6(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(ennf_transformation,[],[f3751]) ).
fof(f4421,plain,
! [X0,X1] :
( l1_group_1(k6_group_6(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(flattening,[],[f4420]) ).
fof(f4700,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k6_group_6(X0,X1))
& v1_group_1(k6_group_6(X0,X1))
& v2_group_1(k6_group_6(X0,X1))
& v3_group_1(k6_group_6(X0,X1))
& v4_group_1(k6_group_6(X0,X1)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(ennf_transformation,[],[f3628]) ).
fof(f4701,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k6_group_6(X0,X1))
& v1_group_1(k6_group_6(X0,X1))
& v2_group_1(k6_group_6(X0,X1))
& v3_group_1(k6_group_6(X0,X1))
& v4_group_1(k6_group_6(X0,X1)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(flattening,[],[f4700]) ).
fof(f4769,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X0,X2)
| ~ 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,[],[f3117]) ).
fof(f4770,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X0,X2)
| ~ 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,[],[f4769]) ).
fof(f4867,plain,
! [X0,X1] :
( r2_group_6(X1,X0)
| ~ r2_group_6(X0,X1)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(ennf_transformation,[],[f3741]) ).
fof(f4868,plain,
! [X0,X1] :
( r2_group_6(X1,X0)
| ~ r2_group_6(X0,X1)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(flattening,[],[f4867]) ).
fof(f4871,plain,
! [X0] :
( ! [X1] :
( v3_realset2(X1)
| ~ r2_group_6(X0,X1)
| ~ v3_realset2(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3730]) ).
fof(f4872,plain,
! [X0] :
( ! [X1] :
( v3_realset2(X1)
| ~ r2_group_6(X0,X1)
| ~ v3_realset2(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f4871]) ).
fof(f4881,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
<=> k10_group_5(X0) = X0 )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3606]) ).
fof(f4882,plain,
! [X0] :
( ( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
<=> k10_group_5(X0) = X0 )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f4881]) ).
fof(f4885,plain,
! [X0] :
( ! [X1] :
( ( v1_group_3(X1,X0)
& m1_group_2(X1,X0) )
| ~ m1_group_2(X1,k10_group_5(X0))
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3603]) ).
fof(f4886,plain,
! [X0] :
( ! [X1] :
( ( v1_group_3(X1,X0)
& m1_group_2(X1,X0) )
| ~ m1_group_2(X1,k10_group_5(X0))
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f4885]) ).
fof(f5024,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(f5025,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,[],[f5024]) ).
fof(f5450,plain,
! [X0] :
( v3_realset2(k6_group_6(X0,k6_group_2(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3726]) ).
fof(f5451,plain,
! [X0] :
( v3_realset2(k6_group_6(X0,k6_group_2(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5450]) ).
fof(f5460,plain,
! [X0] :
( ( v1_group_1(k6_group_2(X0))
& m1_group_2(k6_group_2(X0),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3273]) ).
fof(f5461,plain,
! [X0] :
( ( v1_group_1(k6_group_2(X0))
& m1_group_2(k6_group_2(X0),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5460]) ).
fof(f5464,plain,
! [X0] :
( ( k14_group_2(X0,k6_group_2(X0)) = k1_tarski(u1_struct_0(X0))
& k15_group_2(X0,k6_group_2(X0)) = k1_tarski(u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3246]) ).
fof(f5465,plain,
! [X0] :
( ( k14_group_2(X0,k6_group_2(X0)) = k1_tarski(u1_struct_0(X0))
& k15_group_2(X0,k6_group_2(X0)) = k1_tarski(u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5464]) ).
fof(f5753,plain,
! [X0] :
( ! [X1] :
( X1 = X0
| k15_group_2(X0,X1) != k1_tarski(u1_struct_0(X0))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3248]) ).
fof(f5754,plain,
! [X0] :
( ! [X1] :
( X1 = X0
| k15_group_2(X0,X1) != k1_tarski(u1_struct_0(X0))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5753]) ).
fof(f6296,plain,
! [X0] :
( k5_group_2(X0) = X0
| ~ v3_realset2(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3644]) ).
fof(f6297,plain,
! [X0] :
( k5_group_2(X0) = X0
| ~ v3_realset2(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f6296]) ).
fof(f6662,plain,
( sK47 != k2_group_1(k5_autgroup(sK46))
& m1_subset_1(sK47,u1_struct_0(k5_autgroup(sK46)))
& ~ v3_struct_0(sK46)
& v3_group_1(sK46)
& v4_group_1(sK46)
& v7_group_1(sK46)
& l1_group_1(sK46)
& ~ v3_struct_0(sK46)
& v1_group_1(sK46)
& v3_group_1(sK46)
& v4_group_1(sK46)
& l1_group_1(sK46) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46,sK47]),skolemize(X0,sK46),skolemize(X1,sK47)],[f3964]) ).
fof(f6689,plain,
! [X0,X1] :
( ( ( r1_rlvect_1(k5_group_2(X1),X0)
| k2_group_1(X1) != X0 )
& ( X0 = k2_group_1(X1)
| ~ r1_rlvect_1(k5_group_2(X1),X0) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(nnf_transformation,[],[f4023]) ).
fof(f6930,plain,
! [X0] :
( ( ( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
| k10_group_5(X0) != X0 )
& ( k10_group_5(X0) = X0
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v7_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(nnf_transformation,[],[f4882]) ).
fof(f6931,plain,
! [X0] :
( ( ( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
| k10_group_5(X0) != X0 )
& ( k10_group_5(X0) = X0
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v7_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(flattening,[],[f6930]) ).
fof(f7486,plain,
l1_group_1(sK46),
inference(cnf_transformation,[],[f6662]) ).
fof(f7487,plain,
v4_group_1(sK46),
inference(cnf_transformation,[],[f6662]) ).
fof(f7488,plain,
v3_group_1(sK46),
inference(cnf_transformation,[],[f6662]) ).
fof(f7489,plain,
v1_group_1(sK46),
inference(cnf_transformation,[],[f6662]) ).
fof(f7490,plain,
~ v3_struct_0(sK46),
inference(cnf_transformation,[],[f6662]) ).
fof(f7492,plain,
v7_group_1(sK46),
inference(cnf_transformation,[],[f6662]) ).
fof(f7496,plain,
m1_subset_1(sK47,u1_struct_0(k5_autgroup(sK46))),
inference(cnf_transformation,[],[f6662]) ).
fof(f7497,plain,
sK47 != k2_group_1(k5_autgroup(sK46)),
inference(cnf_transformation,[],[f6662]) ).
fof(f7501,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3969]) ).
fof(f7502,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v3_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3969]) ).
fof(f7503,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3969]) ).
fof(f7506,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3975]) ).
fof(f7508,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v4_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3979]) ).
fof(f7577,plain,
! [X0,X1] :
( ~ r1_rlvect_1(k5_group_2(X1),X0)
| k2_group_1(X1) = X0
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(cnf_transformation,[],[f6689]) ).
fof(f7609,plain,
! [X0] :
( r2_group_6(k5_autgroup(X0),k6_group_6(X0,k10_group_5(X0)))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f4067]) ).
fof(f7611,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,[],[f4071]) ).
fof(f7615,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,[],[f4077]) ).
fof(f7617,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,[],[f4077]) ).
fof(f8051,plain,
! [X0,X1] :
( l1_group_1(k6_group_6(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f4421]) ).
fof(f8309,plain,
! [X0,X1] :
( v4_group_1(k6_group_6(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f4701]) ).
fof(f8310,plain,
! [X0,X1] :
( v3_group_1(k6_group_6(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f4701]) ).
fof(f8312,plain,
! [X0,X1] :
( v1_group_1(k6_group_6(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f4701]) ).
fof(f8313,plain,
! [X0,X1] :
( ~ v3_struct_0(k6_group_6(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f4701]) ).
fof(f8420,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| r1_rlvect_1(X0,X2)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f4770]) ).
fof(f8564,plain,
! [X0,X1] :
( ~ r2_group_6(X0,X1)
| r2_group_6(X1,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(cnf_transformation,[],[f4868]) ).
fof(f8566,plain,
! [X0,X1] :
( ~ r2_group_6(X0,X1)
| v3_realset2(X1)
| ~ v3_realset2(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f4872]) ).
fof(f8572,plain,
! [X0] :
( k10_group_5(X0) = X0
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v7_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(cnf_transformation,[],[f6931]) ).
fof(f8580,plain,
! [X0,X1] :
( ~ m1_group_2(X1,k10_group_5(X0))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f4886]) ).
fof(f8712,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,[],[f5025]) ).
fof(f8713,plain,
! [X0] :
( v4_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,[],[f5025]) ).
fof(f8714,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,[],[f5025]) ).
fof(f8716,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,[],[f5025]) ).
fof(f9335,plain,
! [X0] :
( v3_realset2(k6_group_6(X0,k6_group_2(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5451]) ).
fof(f9340,plain,
! [X0] :
( m1_group_2(k6_group_2(X0),X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5461]) ).
fof(f9341,plain,
! [X0] :
( v1_group_1(k6_group_2(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5461]) ).
fof(f9343,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| k1_tarski(u1_struct_0(X0)) = k15_group_2(X0,k6_group_2(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5465]) ).
fof(f9674,plain,
! [X0,X1] :
( k15_group_2(X0,X1) != k1_tarski(u1_struct_0(X0))
| X0 = X1
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5754]) ).
fof(f10445,plain,
! [X0] :
( ~ v3_realset2(X0)
| k5_group_2(X0) = X0
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f6297]) ).
fof(f11698,plain,
! [X0] :
( ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| k10_group_5(X0) = X0
| ~ l1_group_1(X0)
| ~ v1_group_1(X0) ),
inference(duplicate_literal_removal,[],[f8572]) ).
fof(f12092,plain,
( v3_struct_0(sK46)
| ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| k2_group_1(k5_autgroup(sK46)) = k6_partfun1(u1_struct_0(sK46))
| ~ l1_group_1(sK46) ),
inference(resolution,[],[f7487,f7611]) ).
fof(f12093,plain,
( ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| k2_group_1(k5_autgroup(sK46)) = k6_partfun1(u1_struct_0(sK46))
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12092,f7490]) ).
fof(f12094,plain,
( ~ v3_group_1(sK46)
| k2_group_1(k5_autgroup(sK46)) = k6_partfun1(u1_struct_0(sK46))
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12093,f7489]) ).
fof(f12095,plain,
( k2_group_1(k5_autgroup(sK46)) = k6_partfun1(u1_struct_0(sK46))
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12094,f7488]) ).
fof(f12096,plain,
k2_group_1(k5_autgroup(sK46)) = k6_partfun1(u1_struct_0(sK46)),
inference(forward_subsumption_resolution,[],[f12095,f7486]) ).
fof(f12097,plain,
sK47 != k6_partfun1(u1_struct_0(sK46)),
inference(superposition,[],[f7497,f12096]) ).
fof(f12100,definition,
( spl503_7
<=> l1_group_1(k5_autgroup(sK46)) ),
introduced(definition,[new_symbols(definition,[spl503_7])],[avatar_definition]) ).
fof(f12101,plain,
( l1_group_1(k5_autgroup(sK46))
| ~ spl503_7 ),
inference(avatar_component_clause,[],[f12100]) ).
fof(f12102,plain,
( ~ l1_group_1(k5_autgroup(sK46))
| spl503_7 ),
inference(avatar_component_clause,[],[f12100]) ).
fof(f12104,definition,
( spl503_8
<=> v3_struct_0(k5_autgroup(sK46)) ),
introduced(definition,[new_symbols(definition,[spl503_8])],[avatar_definition]) ).
fof(f12105,plain,
( ~ v3_struct_0(k5_autgroup(sK46))
| spl503_8 ),
inference(avatar_component_clause,[],[f12104]) ).
fof(f12106,plain,
( v3_struct_0(k5_autgroup(sK46))
| ~ spl503_8 ),
inference(avatar_component_clause,[],[f12104]) ).
fof(f12161,plain,
! [X0] :
( ~ v3_struct_0(k5_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ v3_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(resolution,[],[f7503,f7615]) ).
fof(f12170,plain,
! [X0] :
( ~ m1_group_2(k5_autgroup(sK46),X0)
| r1_rlvect_1(X0,sK47)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f8420,f7496]) ).
fof(f12175,plain,
( r1_rlvect_1(k5_autgroup(sK46),sK47)
| v3_struct_0(k5_autgroup(sK46))
| ~ v3_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| v3_struct_0(k5_autgroup(sK46))
| ~ v3_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46)) ),
inference(resolution,[],[f12170,f7506]) ).
fof(f12176,plain,
( r1_rlvect_1(k5_autgroup(sK46),sK47)
| v3_struct_0(k5_autgroup(sK46))
| ~ v3_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46)) ),
inference(duplicate_literal_removal,[],[f12175]) ).
fof(f12212,plain,
( v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| sK46 = k10_group_5(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_1(sK46) ),
inference(resolution,[],[f11698,f7492]) ).
fof(f12254,plain,
! [X0] :
( v3_group_1(k5_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ v3_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(resolution,[],[f7502,f7615]) ).
fof(f12321,plain,
! [X0] :
( l1_group_1(k5_autgroup(X0))
| v3_struct_0(k3_autgroup(X0))
| ~ v3_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(resolution,[],[f7501,f7615]) ).
fof(f12368,plain,
! [X0] :
( ~ v3_struct_0(k5_autgroup(X0))
| ~ v3_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(forward_subsumption_resolution,[],[f12161,f8716]) ).
fof(f12373,definition,
( spl503_15
<=> v1_group_1(k5_autgroup(sK46)) ),
introduced(definition,[new_symbols(definition,[spl503_15])],[avatar_definition]) ).
fof(f12374,plain,
( v1_group_1(k5_autgroup(sK46))
| ~ spl503_15 ),
inference(avatar_component_clause,[],[f12373]) ).
fof(f12375,plain,
( ~ v1_group_1(k5_autgroup(sK46))
| spl503_15 ),
inference(avatar_component_clause,[],[f12373]) ).
fof(f12380,plain,
( ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| sK46 = k10_group_5(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12212,f7490]) ).
fof(f12383,plain,
! [X0] :
( v3_group_1(k5_autgroup(X0))
| ~ v3_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(forward_subsumption_resolution,[],[f12254,f8716]) ).
fof(f12390,plain,
! [X0] :
( l1_group_1(k5_autgroup(X0))
| ~ v3_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(forward_subsumption_resolution,[],[f12321,f8716]) ).
fof(f12407,plain,
! [X0] :
( ~ v3_struct_0(k5_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(forward_subsumption_resolution,[],[f12368,f8714]) ).
fof(f12410,plain,
( ~ v4_group_1(sK46)
| sK46 = k10_group_5(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12380,f7488]) ).
fof(f12411,plain,
! [X0] :
( v3_group_1(k5_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(forward_subsumption_resolution,[],[f12383,f8714]) ).
fof(f12414,plain,
! [X0] :
( l1_group_1(k5_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(forward_subsumption_resolution,[],[f12390,f8714]) ).
fof(f12431,plain,
! [X0] :
( ~ v3_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(forward_subsumption_resolution,[],[f12407,f8712]) ).
fof(f12434,plain,
( sK46 = k10_group_5(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12410,f7487]) ).
fof(f12435,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) ),
inference(forward_subsumption_resolution,[],[f12411,f8712]) ).
fof(f12438,plain,
! [X0] :
( l1_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(forward_subsumption_resolution,[],[f12414,f8712]) ).
fof(f12454,plain,
( sK46 = k10_group_5(sK46)
| ~ v1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12434,f7486]) ).
fof(f12459,plain,
sK46 = k10_group_5(sK46),
inference(forward_subsumption_resolution,[],[f12454,f7489]) ).
fof(f12482,plain,
( r2_group_6(k5_autgroup(sK46),k6_group_6(sK46,sK46))
| v3_struct_0(sK46)
| ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(superposition,[],[f7609,f12459]) ).
fof(f12483,plain,
( r2_group_6(k5_autgroup(sK46),k6_group_6(sK46,sK46))
| ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12482,f7490]) ).
fof(f12484,plain,
( r2_group_6(k5_autgroup(sK46),k6_group_6(sK46,sK46))
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12483,f7489]) ).
fof(f12485,plain,
( r2_group_6(k5_autgroup(sK46),k6_group_6(sK46,sK46))
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12484,f7488]) ).
fof(f12486,plain,
( r2_group_6(k5_autgroup(sK46),k6_group_6(sK46,sK46))
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12485,f7487]) ).
fof(f12487,plain,
r2_group_6(k5_autgroup(sK46),k6_group_6(sK46,sK46)),
inference(forward_subsumption_resolution,[],[f12486,f7486]) ).
fof(f12566,plain,
( v3_struct_0(sK46)
| ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_15 ),
inference(resolution,[],[f12375,f7617]) ).
fof(f12567,plain,
( ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_15 ),
inference(forward_subsumption_resolution,[],[f12566,f7490]) ).
fof(f12568,plain,
( ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_15 ),
inference(forward_subsumption_resolution,[],[f12567,f7489]) ).
fof(f12569,plain,
( ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_15 ),
inference(forward_subsumption_resolution,[],[f12568,f7488]) ).
fof(f12570,plain,
( ~ l1_group_1(sK46)
| spl503_15 ),
inference(forward_subsumption_resolution,[],[f12569,f7487]) ).
fof(f12571,plain,
( $false
| spl503_15 ),
inference(forward_subsumption_resolution,[],[f12570,f7486]) ).
fof(f12572,plain,
spl503_15,
inference(avatar_contradiction_clause,[],[f12571]) ).
fof(f12656,plain,
( r2_group_6(k6_group_6(sK46,sK46),k5_autgroup(sK46))
| v3_struct_0(k5_autgroup(sK46))
| ~ v1_group_1(k5_autgroup(sK46))
| ~ v3_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| v3_struct_0(k6_group_6(sK46,sK46))
| ~ v1_group_1(k6_group_6(sK46,sK46))
| ~ v3_group_1(k6_group_6(sK46,sK46))
| ~ v4_group_1(k6_group_6(sK46,sK46))
| ~ l1_group_1(k6_group_6(sK46,sK46)) ),
inference(resolution,[],[f12487,f8564]) ).
fof(f12688,plain,
( v3_struct_0(sK46)
| ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_7 ),
inference(resolution,[],[f12438,f12102]) ).
fof(f12690,plain,
( ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_7 ),
inference(forward_subsumption_resolution,[],[f12688,f7490]) ).
fof(f12691,plain,
( ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_7 ),
inference(forward_subsumption_resolution,[],[f12690,f7489]) ).
fof(f12692,plain,
( ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_7 ),
inference(forward_subsumption_resolution,[],[f12691,f7488]) ).
fof(f12693,plain,
( ~ l1_group_1(sK46)
| spl503_7 ),
inference(forward_subsumption_resolution,[],[f12692,f7487]) ).
fof(f12694,plain,
( $false
| spl503_7 ),
inference(forward_subsumption_resolution,[],[f12693,f7486]) ).
fof(f12695,plain,
spl503_7,
inference(avatar_contradiction_clause,[],[f12694]) ).
fof(f12696,plain,
( v3_struct_0(sK46)
| ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ spl503_8 ),
inference(resolution,[],[f12106,f12431]) ).
fof(f12697,plain,
( ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ spl503_8 ),
inference(forward_subsumption_resolution,[],[f12696,f7490]) ).
fof(f12698,plain,
( ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ spl503_8 ),
inference(forward_subsumption_resolution,[],[f12697,f7489]) ).
fof(f12699,plain,
( ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ spl503_8 ),
inference(forward_subsumption_resolution,[],[f12698,f7488]) ).
fof(f12700,plain,
( ~ l1_group_1(sK46)
| ~ spl503_8 ),
inference(forward_subsumption_resolution,[],[f12699,f7487]) ).
fof(f12701,plain,
( $false
| ~ spl503_8 ),
inference(forward_subsumption_resolution,[],[f12700,f7486]) ).
fof(f12702,plain,
~ spl503_8,
inference(avatar_contradiction_clause,[],[f12701]) ).
fof(f12706,plain,
( r1_rlvect_1(k5_autgroup(sK46),sK47)
| ~ v3_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| spl503_8 ),
inference(forward_subsumption_resolution,[],[f12176,f12105]) ).
fof(f12732,plain,
( r2_group_6(k6_group_6(sK46,sK46),k5_autgroup(sK46))
| ~ v1_group_1(k5_autgroup(sK46))
| ~ v3_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| v3_struct_0(k6_group_6(sK46,sK46))
| ~ v1_group_1(k6_group_6(sK46,sK46))
| ~ v3_group_1(k6_group_6(sK46,sK46))
| ~ v4_group_1(k6_group_6(sK46,sK46))
| ~ l1_group_1(k6_group_6(sK46,sK46))
| spl503_8 ),
inference(forward_subsumption_resolution,[],[f12656,f12105]) ).
fof(f12735,plain,
( r1_rlvect_1(k5_autgroup(sK46),sK47)
| ~ v3_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ spl503_7
| spl503_8 ),
inference(forward_subsumption_resolution,[],[f12706,f12101]) ).
fof(f12761,plain,
( r2_group_6(k6_group_6(sK46,sK46),k5_autgroup(sK46))
| ~ v3_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| v3_struct_0(k6_group_6(sK46,sK46))
| ~ v1_group_1(k6_group_6(sK46,sK46))
| ~ v3_group_1(k6_group_6(sK46,sK46))
| ~ v4_group_1(k6_group_6(sK46,sK46))
| ~ l1_group_1(k6_group_6(sK46,sK46))
| spl503_8
| ~ spl503_15 ),
inference(forward_subsumption_resolution,[],[f12732,f12374]) ).
fof(f12763,definition,
( spl503_31
<=> v4_group_1(k5_autgroup(sK46)) ),
introduced(definition,[new_symbols(definition,[spl503_31])],[avatar_definition]) ).
fof(f12764,plain,
( v4_group_1(k5_autgroup(sK46))
| ~ spl503_31 ),
inference(avatar_component_clause,[],[f12763]) ).
fof(f12765,plain,
( ~ v4_group_1(k5_autgroup(sK46))
| spl503_31 ),
inference(avatar_component_clause,[],[f12763]) ).
fof(f12767,definition,
( spl503_32
<=> v3_group_1(k5_autgroup(sK46)) ),
introduced(definition,[new_symbols(definition,[spl503_32])],[avatar_definition]) ).
fof(f12768,plain,
( v3_group_1(k5_autgroup(sK46))
| ~ spl503_32 ),
inference(avatar_component_clause,[],[f12767]) ).
fof(f12769,plain,
( ~ v3_group_1(k5_autgroup(sK46))
| spl503_32 ),
inference(avatar_component_clause,[],[f12767]) ).
fof(f12776,definition,
( spl503_34
<=> r1_rlvect_1(k5_autgroup(sK46),sK47) ),
introduced(definition,[new_symbols(definition,[spl503_34])],[avatar_definition]) ).
fof(f12778,plain,
( r1_rlvect_1(k5_autgroup(sK46),sK47)
| ~ spl503_34 ),
inference(avatar_component_clause,[],[f12776]) ).
fof(f12779,plain,
( ~ spl503_31
| ~ spl503_32
| spl503_34
| ~ spl503_7
| spl503_8 ),
inference(avatar_split_clause,[],[f12735,f12104,f12100,f12776,f12767,f12763]) ).
fof(f12811,plain,
( r2_group_6(k6_group_6(sK46,sK46),k5_autgroup(sK46))
| ~ v3_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| v3_struct_0(k6_group_6(sK46,sK46))
| ~ v1_group_1(k6_group_6(sK46,sK46))
| ~ v3_group_1(k6_group_6(sK46,sK46))
| ~ v4_group_1(k6_group_6(sK46,sK46))
| ~ l1_group_1(k6_group_6(sK46,sK46))
| ~ spl503_7
| spl503_8
| ~ spl503_15 ),
inference(forward_subsumption_resolution,[],[f12761,f12101]) ).
fof(f12880,definition,
( spl503_50
<=> l1_group_1(k6_group_6(sK46,sK46)) ),
introduced(definition,[new_symbols(definition,[spl503_50])],[avatar_definition]) ).
fof(f12881,plain,
( l1_group_1(k6_group_6(sK46,sK46))
| ~ spl503_50 ),
inference(avatar_component_clause,[],[f12880]) ).
fof(f12882,plain,
( ~ l1_group_1(k6_group_6(sK46,sK46))
| spl503_50 ),
inference(avatar_component_clause,[],[f12880]) ).
fof(f12884,definition,
( spl503_51
<=> v4_group_1(k6_group_6(sK46,sK46)) ),
introduced(definition,[new_symbols(definition,[spl503_51])],[avatar_definition]) ).
fof(f12885,plain,
( v4_group_1(k6_group_6(sK46,sK46))
| ~ spl503_51 ),
inference(avatar_component_clause,[],[f12884]) ).
fof(f12886,plain,
( ~ v4_group_1(k6_group_6(sK46,sK46))
| spl503_51 ),
inference(avatar_component_clause,[],[f12884]) ).
fof(f12888,definition,
( spl503_52
<=> v3_group_1(k6_group_6(sK46,sK46)) ),
introduced(definition,[new_symbols(definition,[spl503_52])],[avatar_definition]) ).
fof(f12889,plain,
( v3_group_1(k6_group_6(sK46,sK46))
| ~ spl503_52 ),
inference(avatar_component_clause,[],[f12888]) ).
fof(f12890,plain,
( ~ v3_group_1(k6_group_6(sK46,sK46))
| spl503_52 ),
inference(avatar_component_clause,[],[f12888]) ).
fof(f12892,definition,
( spl503_53
<=> v1_group_1(k6_group_6(sK46,sK46)) ),
introduced(definition,[new_symbols(definition,[spl503_53])],[avatar_definition]) ).
fof(f12893,plain,
( v1_group_1(k6_group_6(sK46,sK46))
| ~ spl503_53 ),
inference(avatar_component_clause,[],[f12892]) ).
fof(f12894,plain,
( ~ v1_group_1(k6_group_6(sK46,sK46))
| spl503_53 ),
inference(avatar_component_clause,[],[f12892]) ).
fof(f12896,definition,
( spl503_54
<=> v3_struct_0(k6_group_6(sK46,sK46)) ),
introduced(definition,[new_symbols(definition,[spl503_54])],[avatar_definition]) ).
fof(f12897,plain,
( ~ v3_struct_0(k6_group_6(sK46,sK46))
| spl503_54 ),
inference(avatar_component_clause,[],[f12896]) ).
fof(f12898,plain,
( v3_struct_0(k6_group_6(sK46,sK46))
| ~ spl503_54 ),
inference(avatar_component_clause,[],[f12896]) ).
fof(f12900,definition,
( spl503_55
<=> r2_group_6(k6_group_6(sK46,sK46),k5_autgroup(sK46)) ),
introduced(definition,[new_symbols(definition,[spl503_55])],[avatar_definition]) ).
fof(f12902,plain,
( r2_group_6(k6_group_6(sK46,sK46),k5_autgroup(sK46))
| ~ spl503_55 ),
inference(avatar_component_clause,[],[f12900]) ).
fof(f12903,plain,
( ~ spl503_50
| ~ spl503_51
| ~ spl503_52
| ~ spl503_53
| spl503_54
| ~ spl503_31
| ~ spl503_32
| spl503_55
| ~ spl503_7
| spl503_8
| ~ spl503_15 ),
inference(avatar_split_clause,[],[f12811,f12373,f12104,f12100,f12900,f12767,f12763,f12896,f12892,f12888,f12884,f12880]) ).
fof(f12970,plain,
! [X0] :
( ~ m1_group_2(X0,sK46)
| v1_group_3(X0,sK46)
| ~ m1_group_2(X0,sK46)
| v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(superposition,[],[f8580,f12459]) ).
fof(f12971,plain,
! [X0] :
( ~ m1_group_2(X0,sK46)
| v1_group_3(X0,sK46)
| v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(duplicate_literal_removal,[],[f12970]) ).
fof(f12972,plain,
! [X0] :
( ~ m1_group_2(X0,sK46)
| v1_group_3(X0,sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12971,f7490]) ).
fof(f12974,plain,
! [X0] :
( ~ m1_group_2(X0,sK46)
| v1_group_3(X0,sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12972,f7488]) ).
fof(f12976,plain,
! [X0] :
( ~ m1_group_2(X0,sK46)
| v1_group_3(X0,sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12974,f7487]) ).
fof(f12978,plain,
! [X0] :
( ~ m1_group_2(X0,sK46)
| v1_group_3(X0,sK46) ),
inference(forward_subsumption_resolution,[],[f12976,f7486]) ).
fof(f12979,plain,
( v1_group_3(sK46,sK46)
| v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(resolution,[],[f12978,f7506]) ).
fof(f12980,plain,
( v1_group_3(sK46,sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12979,f7490]) ).
fof(f12981,plain,
( v1_group_3(sK46,sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12980,f7488]) ).
fof(f12982,plain,
( v1_group_3(sK46,sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f12981,f7487]) ).
fof(f12983,plain,
v1_group_3(sK46,sK46),
inference(forward_subsumption_resolution,[],[f12982,f7486]) ).
fof(f13003,plain,
( v3_struct_0(sK46)
| ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_32 ),
inference(resolution,[],[f12769,f12435]) ).
fof(f13004,plain,
( ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_32 ),
inference(forward_subsumption_resolution,[],[f13003,f7490]) ).
fof(f13005,plain,
( ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_32 ),
inference(forward_subsumption_resolution,[],[f13004,f7489]) ).
fof(f13006,plain,
( ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_32 ),
inference(forward_subsumption_resolution,[],[f13005,f7488]) ).
fof(f13007,plain,
( ~ l1_group_1(sK46)
| spl503_32 ),
inference(forward_subsumption_resolution,[],[f13006,f7487]) ).
fof(f13008,plain,
( $false
| spl503_32 ),
inference(forward_subsumption_resolution,[],[f13007,f7486]) ).
fof(f13009,plain,
spl503_32,
inference(avatar_contradiction_clause,[],[f13008]) ).
fof(f13015,plain,
! [X0] :
( v4_group_1(k5_autgroup(X0))
| v3_struct_0(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(resolution,[],[f7508,f7615]) ).
fof(f13019,plain,
! [X0] :
( v4_group_1(k5_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(forward_subsumption_resolution,[],[f13015,f8716]) ).
fof(f13020,plain,
! [X0] :
( v4_group_1(k5_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(forward_subsumption_resolution,[],[f13019,f8714]) ).
fof(f13021,plain,
! [X0] :
( v4_group_1(k5_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(forward_subsumption_resolution,[],[f13020,f8713]) ).
fof(f13022,plain,
! [X0] :
( v4_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(forward_subsumption_resolution,[],[f13021,f8712]) ).
fof(f13023,plain,
( v3_struct_0(sK46)
| ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_31 ),
inference(resolution,[],[f13022,f12765]) ).
fof(f13036,plain,
( ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_31 ),
inference(forward_subsumption_resolution,[],[f13023,f7490]) ).
fof(f13043,plain,
( ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_31 ),
inference(forward_subsumption_resolution,[],[f13036,f7489]) ).
fof(f13050,plain,
( ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_31 ),
inference(forward_subsumption_resolution,[],[f13043,f7488]) ).
fof(f13055,plain,
( ~ l1_group_1(sK46)
| spl503_31 ),
inference(forward_subsumption_resolution,[],[f13050,f7487]) ).
fof(f13056,plain,
( $false
| spl503_31 ),
inference(forward_subsumption_resolution,[],[f13055,f7486]) ).
fof(f13057,plain,
spl503_31,
inference(avatar_contradiction_clause,[],[f13056]) ).
fof(f13100,plain,
( v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| ~ m1_group_2(sK46,sK46)
| spl503_53 ),
inference(resolution,[],[f12894,f8312]) ).
fof(f13101,plain,
( v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_53 ),
inference(forward_subsumption_resolution,[],[f13100,f7506]) ).
fof(f13102,plain,
( ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_53 ),
inference(forward_subsumption_resolution,[],[f13101,f7490]) ).
fof(f13103,plain,
( ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_53 ),
inference(forward_subsumption_resolution,[],[f13102,f7488]) ).
fof(f13104,plain,
( ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_53 ),
inference(forward_subsumption_resolution,[],[f13103,f7487]) ).
fof(f13105,plain,
( ~ v1_group_3(sK46,sK46)
| spl503_53 ),
inference(forward_subsumption_resolution,[],[f13104,f7486]) ).
fof(f13106,plain,
( $false
| spl503_53 ),
inference(forward_subsumption_resolution,[],[f13105,f12983]) ).
fof(f13107,plain,
spl503_53,
inference(avatar_contradiction_clause,[],[f13106]) ).
fof(f13108,plain,
( v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| ~ m1_group_2(sK46,sK46)
| spl503_50 ),
inference(resolution,[],[f12882,f8051]) ).
fof(f13109,plain,
( v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_50 ),
inference(forward_subsumption_resolution,[],[f13108,f7506]) ).
fof(f13110,plain,
( ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_50 ),
inference(forward_subsumption_resolution,[],[f13109,f7490]) ).
fof(f13111,plain,
( ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_50 ),
inference(forward_subsumption_resolution,[],[f13110,f7488]) ).
fof(f13112,plain,
( ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_50 ),
inference(forward_subsumption_resolution,[],[f13111,f7487]) ).
fof(f13113,plain,
( ~ v1_group_3(sK46,sK46)
| spl503_50 ),
inference(forward_subsumption_resolution,[],[f13112,f7486]) ).
fof(f13114,plain,
( $false
| spl503_50 ),
inference(forward_subsumption_resolution,[],[f13113,f12983]) ).
fof(f13115,plain,
spl503_50,
inference(avatar_contradiction_clause,[],[f13114]) ).
fof(f13116,plain,
( v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| ~ m1_group_2(sK46,sK46)
| spl503_51 ),
inference(resolution,[],[f12886,f8309]) ).
fof(f13117,plain,
( v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_51 ),
inference(forward_subsumption_resolution,[],[f13116,f7506]) ).
fof(f13118,plain,
( ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_51 ),
inference(forward_subsumption_resolution,[],[f13117,f7490]) ).
fof(f13119,plain,
( ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_51 ),
inference(forward_subsumption_resolution,[],[f13118,f7488]) ).
fof(f13120,plain,
( ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_51 ),
inference(forward_subsumption_resolution,[],[f13119,f7487]) ).
fof(f13121,plain,
( ~ v1_group_3(sK46,sK46)
| spl503_51 ),
inference(forward_subsumption_resolution,[],[f13120,f7486]) ).
fof(f13122,plain,
( $false
| spl503_51 ),
inference(forward_subsumption_resolution,[],[f13121,f12983]) ).
fof(f13123,plain,
spl503_51,
inference(avatar_contradiction_clause,[],[f13122]) ).
fof(f13124,plain,
( v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| ~ m1_group_2(sK46,sK46)
| spl503_52 ),
inference(resolution,[],[f12890,f8310]) ).
fof(f13125,plain,
( v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_52 ),
inference(forward_subsumption_resolution,[],[f13124,f7506]) ).
fof(f13126,plain,
( ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_52 ),
inference(forward_subsumption_resolution,[],[f13125,f7490]) ).
fof(f13127,plain,
( ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_52 ),
inference(forward_subsumption_resolution,[],[f13126,f7488]) ).
fof(f13128,plain,
( ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| spl503_52 ),
inference(forward_subsumption_resolution,[],[f13127,f7487]) ).
fof(f13129,plain,
( ~ v1_group_3(sK46,sK46)
| spl503_52 ),
inference(forward_subsumption_resolution,[],[f13128,f7486]) ).
fof(f13130,plain,
( $false
| spl503_52 ),
inference(forward_subsumption_resolution,[],[f13129,f12983]) ).
fof(f13131,plain,
spl503_52,
inference(avatar_contradiction_clause,[],[f13130]) ).
fof(f13590,plain,
( v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| ~ m1_group_2(sK46,sK46)
| ~ spl503_54 ),
inference(resolution,[],[f8313,f12898]) ).
fof(f13591,plain,
( v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| ~ spl503_54 ),
inference(forward_subsumption_resolution,[],[f13590,f7506]) ).
fof(f13592,plain,
( ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| ~ spl503_54 ),
inference(forward_subsumption_resolution,[],[f13591,f7490]) ).
fof(f13593,plain,
( ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| ~ spl503_54 ),
inference(forward_subsumption_resolution,[],[f13592,f7488]) ).
fof(f13594,plain,
( ~ l1_group_1(sK46)
| ~ v1_group_3(sK46,sK46)
| ~ spl503_54 ),
inference(forward_subsumption_resolution,[],[f13593,f7487]) ).
fof(f13595,plain,
( ~ v1_group_3(sK46,sK46)
| ~ spl503_54 ),
inference(forward_subsumption_resolution,[],[f13594,f7486]) ).
fof(f13596,plain,
( $false
| ~ spl503_54 ),
inference(forward_subsumption_resolution,[],[f13595,f12983]) ).
fof(f13597,plain,
~ spl503_54,
inference(avatar_contradiction_clause,[],[f13596]) ).
fof(f14792,plain,
( v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| k1_tarski(u1_struct_0(sK46)) = k15_group_2(sK46,k6_group_2(sK46))
| ~ l1_group_1(sK46) ),
inference(resolution,[],[f9343,f7487]) ).
fof(f14793,plain,
( ~ v3_group_1(sK46)
| k1_tarski(u1_struct_0(sK46)) = k15_group_2(sK46,k6_group_2(sK46))
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f14792,f7490]) ).
fof(f14801,plain,
( k1_tarski(u1_struct_0(sK46)) = k15_group_2(sK46,k6_group_2(sK46))
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f14793,f7488]) ).
fof(f14809,plain,
k1_tarski(u1_struct_0(sK46)) = k15_group_2(sK46,k6_group_2(sK46)),
inference(forward_subsumption_resolution,[],[f14801,f7486]) ).
fof(f15442,plain,
( k1_tarski(u1_struct_0(sK46)) != k1_tarski(u1_struct_0(sK46))
| sK46 = k6_group_2(sK46)
| ~ v1_group_1(k6_group_2(sK46))
| ~ m1_group_2(k6_group_2(sK46),sK46)
| v3_struct_0(sK46)
| ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(superposition,[],[f9674,f14809]) ).
fof(f15443,plain,
( sK46 = k6_group_2(sK46)
| ~ v1_group_1(k6_group_2(sK46))
| ~ m1_group_2(k6_group_2(sK46),sK46)
| v3_struct_0(sK46)
| ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(trivial_inequality_removal,[],[f15442]) ).
fof(f15444,plain,
( sK46 = k6_group_2(sK46)
| ~ m1_group_2(k6_group_2(sK46),sK46)
| v3_struct_0(sK46)
| ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f15443,f9341]) ).
fof(f15445,plain,
( sK46 = k6_group_2(sK46)
| v3_struct_0(sK46)
| ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f15444,f9340]) ).
fof(f15446,plain,
( sK46 = k6_group_2(sK46)
| ~ v1_group_1(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f15445,f7490]) ).
fof(f15447,plain,
( sK46 = k6_group_2(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f15446,f7489]) ).
fof(f15448,plain,
( sK46 = k6_group_2(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f15447,f7488]) ).
fof(f15449,plain,
( sK46 = k6_group_2(sK46)
| ~ l1_group_1(sK46) ),
inference(forward_subsumption_resolution,[],[f15448,f7487]) ).
fof(f15450,plain,
sK46 = k6_group_2(sK46),
inference(forward_subsumption_resolution,[],[f15449,f7486]) ).
fof(f17776,plain,
( v3_realset2(k5_autgroup(sK46))
| ~ v3_realset2(k6_group_6(sK46,sK46))
| v3_struct_0(k5_autgroup(sK46))
| ~ v1_group_1(k5_autgroup(sK46))
| ~ v3_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| v3_struct_0(k6_group_6(sK46,sK46))
| ~ v1_group_1(k6_group_6(sK46,sK46))
| ~ v3_group_1(k6_group_6(sK46,sK46))
| ~ v4_group_1(k6_group_6(sK46,sK46))
| ~ l1_group_1(k6_group_6(sK46,sK46))
| ~ spl503_55 ),
inference(resolution,[],[f8566,f12902]) ).
fof(f17777,plain,
( v3_realset2(k5_autgroup(sK46))
| ~ v3_realset2(k6_group_6(sK46,sK46))
| ~ v1_group_1(k5_autgroup(sK46))
| ~ v3_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| v3_struct_0(k6_group_6(sK46,sK46))
| ~ v1_group_1(k6_group_6(sK46,sK46))
| ~ v3_group_1(k6_group_6(sK46,sK46))
| ~ v4_group_1(k6_group_6(sK46,sK46))
| ~ l1_group_1(k6_group_6(sK46,sK46))
| spl503_8
| ~ spl503_55 ),
inference(forward_subsumption_resolution,[],[f17776,f12105]) ).
fof(f17780,plain,
( v3_realset2(k5_autgroup(sK46))
| ~ v3_realset2(k6_group_6(sK46,sK46))
| ~ v3_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| v3_struct_0(k6_group_6(sK46,sK46))
| ~ v1_group_1(k6_group_6(sK46,sK46))
| ~ v3_group_1(k6_group_6(sK46,sK46))
| ~ v4_group_1(k6_group_6(sK46,sK46))
| ~ l1_group_1(k6_group_6(sK46,sK46))
| spl503_8
| ~ spl503_15
| ~ spl503_55 ),
inference(forward_subsumption_resolution,[],[f17777,f12374]) ).
fof(f17783,plain,
( v3_realset2(k5_autgroup(sK46))
| ~ v3_realset2(k6_group_6(sK46,sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| v3_struct_0(k6_group_6(sK46,sK46))
| ~ v1_group_1(k6_group_6(sK46,sK46))
| ~ v3_group_1(k6_group_6(sK46,sK46))
| ~ v4_group_1(k6_group_6(sK46,sK46))
| ~ l1_group_1(k6_group_6(sK46,sK46))
| spl503_8
| ~ spl503_15
| ~ spl503_32
| ~ spl503_55 ),
inference(forward_subsumption_resolution,[],[f17780,f12768]) ).
fof(f17786,plain,
( v3_realset2(k5_autgroup(sK46))
| ~ v3_realset2(k6_group_6(sK46,sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| v3_struct_0(k6_group_6(sK46,sK46))
| ~ v1_group_1(k6_group_6(sK46,sK46))
| ~ v3_group_1(k6_group_6(sK46,sK46))
| ~ v4_group_1(k6_group_6(sK46,sK46))
| ~ l1_group_1(k6_group_6(sK46,sK46))
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_55 ),
inference(forward_subsumption_resolution,[],[f17783,f12764]) ).
fof(f17789,plain,
( v3_realset2(k5_autgroup(sK46))
| ~ v3_realset2(k6_group_6(sK46,sK46))
| v3_struct_0(k6_group_6(sK46,sK46))
| ~ v1_group_1(k6_group_6(sK46,sK46))
| ~ v3_group_1(k6_group_6(sK46,sK46))
| ~ v4_group_1(k6_group_6(sK46,sK46))
| ~ l1_group_1(k6_group_6(sK46,sK46))
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_55 ),
inference(forward_subsumption_resolution,[],[f17786,f12101]) ).
fof(f17792,plain,
( v3_realset2(k5_autgroup(sK46))
| ~ v3_realset2(k6_group_6(sK46,sK46))
| ~ v1_group_1(k6_group_6(sK46,sK46))
| ~ v3_group_1(k6_group_6(sK46,sK46))
| ~ v4_group_1(k6_group_6(sK46,sK46))
| ~ l1_group_1(k6_group_6(sK46,sK46))
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| spl503_54
| ~ spl503_55 ),
inference(forward_subsumption_resolution,[],[f17789,f12897]) ).
fof(f17794,plain,
( v3_realset2(k5_autgroup(sK46))
| ~ v3_realset2(k6_group_6(sK46,sK46))
| ~ v3_group_1(k6_group_6(sK46,sK46))
| ~ v4_group_1(k6_group_6(sK46,sK46))
| ~ l1_group_1(k6_group_6(sK46,sK46))
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_53
| spl503_54
| ~ spl503_55 ),
inference(forward_subsumption_resolution,[],[f17792,f12893]) ).
fof(f17796,plain,
( v3_realset2(k5_autgroup(sK46))
| ~ v3_realset2(k6_group_6(sK46,sK46))
| ~ v4_group_1(k6_group_6(sK46,sK46))
| ~ l1_group_1(k6_group_6(sK46,sK46))
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_52
| ~ spl503_53
| spl503_54
| ~ spl503_55 ),
inference(forward_subsumption_resolution,[],[f17794,f12889]) ).
fof(f17798,plain,
( v3_realset2(k5_autgroup(sK46))
| ~ v3_realset2(k6_group_6(sK46,sK46))
| ~ l1_group_1(k6_group_6(sK46,sK46))
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_51
| ~ spl503_52
| ~ spl503_53
| spl503_54
| ~ spl503_55 ),
inference(forward_subsumption_resolution,[],[f17796,f12885]) ).
fof(f17800,plain,
( v3_realset2(k5_autgroup(sK46))
| ~ v3_realset2(k6_group_6(sK46,sK46))
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_50
| ~ spl503_51
| ~ spl503_52
| ~ spl503_53
| spl503_54
| ~ spl503_55 ),
inference(forward_subsumption_resolution,[],[f17798,f12881]) ).
fof(f17803,definition,
( spl503_216
<=> v3_realset2(k6_group_6(sK46,sK46)) ),
introduced(definition,[new_symbols(definition,[spl503_216])],[avatar_definition]) ).
fof(f17805,plain,
( ~ v3_realset2(k6_group_6(sK46,sK46))
| spl503_216 ),
inference(avatar_component_clause,[],[f17803]) ).
fof(f17807,definition,
( spl503_217
<=> v3_realset2(k5_autgroup(sK46)) ),
introduced(definition,[new_symbols(definition,[spl503_217])],[avatar_definition]) ).
fof(f17809,plain,
( v3_realset2(k5_autgroup(sK46))
| ~ spl503_217 ),
inference(avatar_component_clause,[],[f17807]) ).
fof(f17810,plain,
( ~ spl503_216
| spl503_217
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_50
| ~ spl503_51
| ~ spl503_52
| ~ spl503_53
| spl503_54
| ~ spl503_55 ),
inference(avatar_split_clause,[],[f17800,f12900,f12896,f12892,f12888,f12884,f12880,f12767,f12763,f12373,f12104,f12100,f17807,f17803]) ).
fof(f18725,plain,
( v3_realset2(k6_group_6(sK46,sK46))
| v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46) ),
inference(superposition,[],[f9335,f15450]) ).
fof(f18728,plain,
( v3_struct_0(sK46)
| ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_216 ),
inference(forward_subsumption_resolution,[],[f18725,f17805]) ).
fof(f18730,plain,
( ~ v3_group_1(sK46)
| ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_216 ),
inference(forward_subsumption_resolution,[],[f18728,f7490]) ).
fof(f18732,plain,
( ~ v4_group_1(sK46)
| ~ l1_group_1(sK46)
| spl503_216 ),
inference(forward_subsumption_resolution,[],[f18730,f7488]) ).
fof(f18734,plain,
( ~ l1_group_1(sK46)
| spl503_216 ),
inference(forward_subsumption_resolution,[],[f18732,f7487]) ).
fof(f18735,plain,
( $false
| spl503_216 ),
inference(forward_subsumption_resolution,[],[f18734,f7486]) ).
fof(f18736,plain,
spl503_216,
inference(avatar_contradiction_clause,[],[f18735]) ).
fof(f23453,plain,
( k5_autgroup(sK46) = k5_group_2(k5_autgroup(sK46))
| v3_struct_0(k5_autgroup(sK46))
| ~ v1_group_1(k5_autgroup(sK46))
| ~ v3_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| ~ spl503_217 ),
inference(resolution,[],[f10445,f17809]) ).
fof(f23454,plain,
( k5_autgroup(sK46) = k5_group_2(k5_autgroup(sK46))
| ~ v1_group_1(k5_autgroup(sK46))
| ~ v3_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| spl503_8
| ~ spl503_217 ),
inference(forward_subsumption_resolution,[],[f23453,f12105]) ).
fof(f23456,plain,
( k5_autgroup(sK46) = k5_group_2(k5_autgroup(sK46))
| ~ v3_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| spl503_8
| ~ spl503_15
| ~ spl503_217 ),
inference(forward_subsumption_resolution,[],[f23454,f12374]) ).
fof(f23458,plain,
( k5_autgroup(sK46) = k5_group_2(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| spl503_8
| ~ spl503_15
| ~ spl503_32
| ~ spl503_217 ),
inference(forward_subsumption_resolution,[],[f23456,f12768]) ).
fof(f23460,plain,
( k5_autgroup(sK46) = k5_group_2(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46))
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_217 ),
inference(forward_subsumption_resolution,[],[f23458,f12764]) ).
fof(f23462,plain,
( k5_autgroup(sK46) = k5_group_2(k5_autgroup(sK46))
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_217 ),
inference(forward_subsumption_resolution,[],[f23460,f12101]) ).
fof(f23468,plain,
( ! [X0] :
( ~ r1_rlvect_1(k5_autgroup(sK46),X0)
| k2_group_1(k5_autgroup(sK46)) = X0
| v3_struct_0(k5_autgroup(sK46))
| ~ v3_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46)) )
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_217 ),
inference(superposition,[],[f7577,f23462]) ).
fof(f23469,plain,
( ! [X0] :
( ~ r1_rlvect_1(k5_autgroup(sK46),X0)
| k2_group_1(k5_autgroup(sK46)) = X0
| ~ v3_group_1(k5_autgroup(sK46))
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46)) )
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_217 ),
inference(forward_subsumption_resolution,[],[f23468,f12105]) ).
fof(f23472,plain,
( ! [X0] :
( ~ r1_rlvect_1(k5_autgroup(sK46),X0)
| k2_group_1(k5_autgroup(sK46)) = X0
| ~ v4_group_1(k5_autgroup(sK46))
| ~ l1_group_1(k5_autgroup(sK46)) )
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_217 ),
inference(forward_subsumption_resolution,[],[f23469,f12768]) ).
fof(f23473,plain,
( ! [X0] :
( ~ r1_rlvect_1(k5_autgroup(sK46),X0)
| k2_group_1(k5_autgroup(sK46)) = X0
| ~ l1_group_1(k5_autgroup(sK46)) )
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_217 ),
inference(forward_subsumption_resolution,[],[f23472,f12764]) ).
fof(f23474,plain,
( ! [X0] :
( ~ r1_rlvect_1(k5_autgroup(sK46),X0)
| k2_group_1(k5_autgroup(sK46)) = X0 )
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_217 ),
inference(forward_subsumption_resolution,[],[f23473,f12101]) ).
fof(f23475,plain,
( ! [X0] :
( ~ r1_rlvect_1(k5_autgroup(sK46),X0)
| k6_partfun1(u1_struct_0(sK46)) = X0 )
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_217 ),
inference(forward_demodulation,[],[f23474,f12096]) ).
fof(f23484,plain,
( sK47 = k6_partfun1(u1_struct_0(sK46))
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_34
| ~ spl503_217 ),
inference(resolution,[],[f23475,f12778]) ).
fof(f23500,plain,
( $false
| ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_34
| ~ spl503_217 ),
inference(forward_subsumption_resolution,[],[f23484,f12097]) ).
fof(f23501,plain,
( ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_34
| ~ spl503_217 ),
inference(avatar_contradiction_clause,[],[f23500]) ).
cnf(s19,plain,
spl503_15,
inference(sat_conversion,[],[f12572]) ).
cnf(s26,plain,
spl503_7,
inference(sat_conversion,[],[f12695]) ).
cnf(s27,plain,
~ spl503_8,
inference(sat_conversion,[],[f12702]) ).
cnf(s29,plain,
( ~ spl503_7
| spl503_8
| ~ spl503_31
| ~ spl503_32
| spl503_34 ),
inference(sat_conversion,[],[f12779]) ).
cnf(s44,plain,
( ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_50
| ~ spl503_51
| ~ spl503_52
| ~ spl503_53
| spl503_54
| spl503_55 ),
inference(sat_conversion,[],[f12903]) ).
cnf(s58,plain,
spl503_32,
inference(sat_conversion,[],[f13009]) ).
cnf(s59,plain,
spl503_31,
inference(sat_conversion,[],[f13057]) ).
cnf(s60,plain,
spl503_53,
inference(sat_conversion,[],[f13107]) ).
cnf(s61,plain,
spl503_50,
inference(sat_conversion,[],[f13115]) ).
cnf(s62,plain,
spl503_51,
inference(sat_conversion,[],[f13123]) ).
cnf(s63,plain,
spl503_52,
inference(sat_conversion,[],[f13131]) ).
cnf(s86,plain,
~ spl503_54,
inference(sat_conversion,[],[f13597]) ).
cnf(s182,plain,
( ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_50
| ~ spl503_51
| ~ spl503_52
| ~ spl503_53
| spl503_54
| ~ spl503_55
| ~ spl503_216
| spl503_217 ),
inference(sat_conversion,[],[f17810]) ).
cnf(s223,plain,
spl503_216,
inference(sat_conversion,[],[f18736]) ).
cnf(s352,plain,
( ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_34
| ~ spl503_217 ),
inference(sat_conversion,[],[f23501]) ).
cnf(s354,plain,
( ~ spl503_7
| spl503_8
| ~ spl503_15
| ~ spl503_31
| ~ spl503_32
| ~ spl503_50
| ~ spl503_51
| ~ spl503_52
| ~ spl503_53
| spl503_54
| ~ spl503_55
| spl503_217 ),
inference(rat,[],[s182,s223]) ).
cnf(s375,plain,
( ~ spl503_7
| spl503_8
| ~ spl503_15
| spl503_55 ),
inference(rat,[],[s44,s86,s60,s63,s62,s61,s58,s59]) ).
cnf(s390,plain,
( ~ spl503_7
| spl503_8
| spl503_34 ),
inference(rat,[],[s29,s58,s59]) ).
cnf(s409,plain,
spl503_34,
inference(rat,[],[s390,s27,s26]) ).
cnf(s415,plain,
~ spl503_217,
inference(rat,[],[s352,s409,s26,s58,s59,s27,s19]) ).
cnf(s426,plain,
~ spl503_55,
inference(rat,[],[s354,s415,s26,s86,s60,s63,s62,s61,s58,s59,s27,s19]) ).
cnf(s428,plain,
$false,
inference(rat,[],[s375,s26,s27,s426,s19]) ).
fof(f23508,plain,
$false,
inference(avatar_sat_refutation,[],[s428]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP634+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:16:47 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 11.95/2.72 % (585533)Detected formulas, will run a generic FOF schedule.
% 11.95/2.72 % (585542)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3028848451:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 11.95/2.72 % (585539)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=5266814:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 11.95/2.72 % (585540)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=609820903:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 11.95/2.72 % (585538)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=2095189010:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 11.95/2.72 % (585544)dis-21_1_sil=8000:lcm=predicate:random_seed=1970268817: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)
% 11.95/2.72 % (585543)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=105829116:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 11.95/2.72 % (585541)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2685025097:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 11.95/2.72 % (585542)Instruction limit reached!
% 11.95/2.72 % (585542)------------------------------
% 11.95/2.72 % (585542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.72 % (585542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.72 % (585542)CaDiCaL version: 2.1.3
% 11.95/2.72 % (585542)Termination reason: Instruction limit
% 11.95/2.72 % (585542)Termination phase: Saturation
% 11.95/2.72 % (585542)Time elapsed: 0.045 s
% 11.95/2.72 % (585542)Peak memory usage: 94 MB
% 11.95/2.72 % (585542)Instructions burned: 121 (million)
% 11.95/2.72 % (585541)Refutation not found, incomplete strategy
% 11.95/2.72 % (585541)------------------------------
% 11.95/2.72 % (585541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.72 % (585541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.72 % (585541)CaDiCaL version: 2.1.3
% 11.95/2.72 % (585541)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.72 % (585541)Time elapsed: 0.019 s
% 11.95/2.72 % (585541)Peak memory usage: 93 MB
% 11.95/2.72 % (585541)Instructions burned: 24 (million)
% 11.95/2.72 % (585544)Instruction limit reached!
% 11.95/2.72 % (585544)------------------------------
% 11.95/2.72 % (585544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.72 % (585544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.72 % (585544)CaDiCaL version: 2.1.3
% 11.95/2.72 % (585544)Termination reason: Instruction limit
% 11.95/2.72 % (585544)Termination phase: Preprocessing 3
% 11.95/2.72 % (585544)Time elapsed: 0.090 s
% 11.95/2.72 % (585544)Peak memory usage: 94 MB
% 11.95/2.72 % (585544)Instructions burned: 129 (million)
% 11.95/2.72 % (585543)Instruction limit reached!
% 11.95/2.72 % (585543)------------------------------
% 11.95/2.72 % (585543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.72 % (585543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.72 % (585543)CaDiCaL version: 2.1.3
% 11.95/2.72 % (585543)Termination reason: Instruction limit
% 11.95/2.72 % (585543)Termination phase: Preprocessing 3
% 11.95/2.72 % (585543)Time elapsed: 0.092 s
% 11.95/2.72 % (585543)Peak memory usage: 94 MB
% 11.95/2.72 % (585543)Instructions burned: 140 (million)
% 11.95/2.72 % (585552)lrs+10_1_sil=8000:sp=occurrence:random_seed=3602968967:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 11.95/2.72 % (585552)Instruction limit reached!
% 11.95/2.72 % (585552)------------------------------
% 11.95/2.72 % (585552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.72 % (585552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.72 % (585552)CaDiCaL version: 2.1.3
% 11.95/2.72 % (585552)Termination reason: Instruction limit
% 11.95/2.72 % (585552)Termination phase: Saturation
% 11.95/2.72 % (585552)Time elapsed: 0.098 s
% 11.95/2.72 % (585552)Peak memory usage: 97 MB
% 11.95/2.72 % (585552)Instructions burned: 286 (million)
% 11.95/2.72 % (585553)lrs+10_1_sil=32000:urr=on:br=off:random_seed=862641246:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 18.42/3.67 % (585554)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2213160844:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 18.42/3.67 % (585553)Refutation not found, incomplete strategy
% 18.42/3.67 % (585553)------------------------------
% 18.42/3.67 % (585553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.67 % (585553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.67 % (585553)CaDiCaL version: 2.1.3
% 18.42/3.67 % (585553)Termination reason: Refutation not found, incomplete strategy
% 18.42/3.67 % (585553)Time elapsed: 0.038 s
% 18.42/3.67 % (585553)Peak memory usage: 94 MB
% 18.42/3.67 % (585553)Instructions burned: 67 (million)
% 18.42/3.67 % (585554)Refutation not found, incomplete strategy
% 18.42/3.67 % (585554)------------------------------
% 18.42/3.67 % (585554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.67 % (585554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.67 % (585554)CaDiCaL version: 2.1.3
% 18.42/3.67 % (585554)Termination reason: Refutation not found, incomplete strategy
% 18.42/3.67 % (585554)Time elapsed: 0.021 s
% 18.42/3.67 % (585554)Peak memory usage: 93 MB
% 18.42/3.67 % (585554)Instructions burned: 25 (million)
% 18.42/3.67 % (585541)------------------------------
% 18.42/3.67 % (585541)------------------------------
% 18.42/3.67 % (585556)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=4255390411:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 18.42/3.67 % (585556)Instruction limit reached!
% 18.42/3.67 % (585556)------------------------------
% 18.42/3.67 % (585556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.67 % (585556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.67 % (585556)CaDiCaL version: 2.1.3
% 18.42/3.67 % (585556)Termination reason: Instruction limit
% 18.42/3.67 % (585556)Termination phase: Property scanning
% 18.42/3.67 % (585556)Time elapsed: 0.082 s
% 18.42/3.67 % (585556)Peak memory usage: 97 MB
% 18.42/3.67 % (585556)Instructions burned: 249 (million)
% 18.42/3.67 % (585559)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2528574586:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 18.42/3.67 % (585561)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3489457573:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 18.42/3.67 % (585553)------------------------------
% 18.42/3.67 % (585553)------------------------------
% 18.42/3.67 % (585554)------------------------------
% 18.42/3.67 % (585554)------------------------------
% 18.42/3.67 % (585559)Instruction limit reached!
% 18.42/3.67 % (585559)------------------------------
% 18.42/3.67 % (585559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.67 % (585559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.67 % (585559)CaDiCaL version: 2.1.3
% 18.42/3.67 % (585559)Termination reason: Instruction limit
% 18.42/3.67 % (585559)Termination phase: Saturation
% 18.42/3.67 % (585559)Time elapsed: 0.173 s
% 18.42/3.67 % (585559)Peak memory usage: 96 MB
% 18.42/3.67 % (585559)Instructions burned: 294 (million)
% 18.42/3.67 % (585564)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=8613337:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 18.42/3.67 % (585565)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3033578973:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 18.42/3.67 % (585564)Instruction limit reached!
% 18.42/3.67 % (585564)------------------------------
% 18.42/3.67 % (585564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.67 % (585564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.67 % (585564)CaDiCaL version: 2.1.3
% 18.42/3.67 % (585564)Termination reason: Instruction limit
% 18.42/3.67 % (585564)Termination phase: Property scanning
% 18.42/3.67 % (585564)Time elapsed: 0.069 s
% 18.42/3.67 % (585564)Peak memory usage: 93 MB
% 18.42/3.67 % (585564)Instructions burned: 114 (million)
% 18.42/3.67 % (585565)Instruction limit reached!
% 18.42/3.67 % (585565)------------------------------
% 18.42/3.67 % (585565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.67 % (585565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/4.20 % (585565)CaDiCaL version: 2.1.3
% 16.22/4.20 % (585565)Termination reason: Instruction limit
% 16.22/4.20 % (585565)Termination phase: Preprocessing 3
% 16.22/4.20 % (585565)Time elapsed: 0.086 s
% 16.22/4.20 % (585565)Peak memory usage: 96 MB
% 16.22/4.20 % (585565)Instructions burned: 128 (million)
% 16.22/4.20 % (585566)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1812845705:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 16.22/4.20 % (585566)Instruction limit reached!
% 16.22/4.20 % (585566)------------------------------
% 16.22/4.20 % (585566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/4.20 % (585566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/4.20 % (585566)CaDiCaL version: 2.1.3
% 16.22/4.20 % (585566)Termination reason: Instruction limit
% 16.22/4.20 % (585566)Termination phase: Preprocessing 1
% 16.22/4.20 % (585566)Time elapsed: 0.060 s
% 16.22/4.20 % (585566)Peak memory usage: 89 MB
% 16.22/4.20 % (585566)Instructions burned: 114 (million)
% 16.22/4.20 % (585569)lrs+10_1_sil=8000:sp=occurrence:random_seed=172742083:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 16.22/4.20 % (585571)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3773037517:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 16.22/4.20 % (585572)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2545336059:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 16.22/4.20 % (585571)Instruction limit reached!
% 16.22/4.20 % (585571)------------------------------
% 16.22/4.20 % (585571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/4.20 % (585571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/4.20 % (585571)CaDiCaL version: 2.1.3
% 16.22/4.20 % (585571)Termination reason: Instruction limit
% 16.22/4.20 % (585571)Termination phase: Saturation
% 16.22/4.20 % (585571)Time elapsed: 0.200 s
% 16.22/4.20 % (585571)Peak memory usage: 94 MB
% 16.22/4.20 % (585571)Instructions burned: 437 (million)
% 16.22/4.20 % (585576)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1703904295:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 16.22/4.20 % (585576)Instruction limit reached!
% 16.22/4.20 % (585576)------------------------------
% 16.22/4.20 % (585576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/4.20 % (585576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/4.20 % (585576)CaDiCaL version: 2.1.3
% 16.22/4.20 % (585576)Termination reason: Instruction limit
% 16.22/4.20 % (585576)Termination phase: Saturation
% 16.22/4.20 % (585576)Time elapsed: 0.081 s
% 16.22/4.20 % (585576)Peak memory usage: 96 MB
% 16.22/4.20 % (585576)Instructions burned: 135 (million)
% 16.22/4.20 % (585561)Instruction limit reached!
% 16.22/4.20 % (585561)------------------------------
% 16.22/4.20 % (585561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/4.20 % (585561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/4.20 % (585561)CaDiCaL version: 2.1.3
% 16.22/4.20 % (585561)Termination reason: Instruction limit
% 16.22/4.20 % (585561)Termination phase: Saturation
% 16.22/4.20 % (585561)Time elapsed: 0.837 s
% 16.22/4.20 % (585561)Peak memory usage: 213 MB
% 16.22/4.21 % (585561)Instructions burned: 2353 (million)
% 16.22/4.21 % (585579)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3472577473:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 16.22/4.21 % (585578)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2828816570:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 16.22/4.21 % (585569)Instruction limit reached!
% 16.22/4.21 % (585569)------------------------------
% 16.22/4.21 % (585569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/4.21 % (585569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/4.21 % (585569)CaDiCaL version: 2.1.3
% 16.22/4.21 % (585569)Termination reason: Instruction limit
% 16.22/4.21 % (585569)Termination phase: Saturation
% 16.22/4.21 % (585569)Time elapsed: 0.588 s
% 16.22/4.21 % (585569)Peak memory usage: 108 MB
% 16.22/4.21 % (585569)Instructions burned: 908 (million)
% 16.22/4.21 % (585582)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=1618815891:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 16.22/4.21 % (585582)Instruction limit reached!
% 16.22/4.21 % (585582)------------------------------
% 16.22/4.21 % (585582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/4.21 % (585582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/4.21 % (585582)CaDiCaL version: 2.1.3
% 16.22/4.21 % (585582)Termination reason: Instruction limit
% 16.22/4.21 % (585582)Termination phase: Property scanning
% 16.22/4.21 % (585582)Time elapsed: 0.072 s
% 16.22/4.21 % (585582)Peak memory usage: 92 MB
% 16.22/4.21 % (585582)Instructions burned: 126 (million)
% 16.22/4.21 % (585578)Instruction limit reached!
% 16.22/4.21 % (585578)------------------------------
% 16.22/4.21 % (585578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/4.21 % (585578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/4.21 % (585578)CaDiCaL version: 2.1.3
% 16.22/4.21 % (585578)Termination reason: Instruction limit
% 16.22/4.21 % (585578)Termination phase: Saturation
% 16.22/4.21 % (585578)Time elapsed: 0.319 s
% 16.22/4.21 % (585578)Peak memory usage: 105 MB
% 16.22/4.21 % (585578)Instructions burned: 593 (million)
% 16.22/4.21 % (585584)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2875557099:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 16.22/4.21 % (585584)Instruction limit reached!
% 16.22/4.21 % (585584)------------------------------
% 16.22/4.21 % (585584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/4.21 % (585584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/4.21 % (585584)CaDiCaL version: 2.1.3
% 16.22/4.21 % (585584)Termination reason: Instruction limit
% 16.22/4.21 % (585584)Termination phase: Preprocessing 1
% 16.22/4.21 % (585584)Time elapsed: 0.072 s
% 16.22/4.21 % (585584)Peak memory usage: 90 MB
% 16.22/4.21 % (585584)Instructions burned: 134 (million)
% 16.22/4.21 % (585585)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3133096291:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 16.22/4.21 % (585585)Refutation not found, incomplete strategy
% 16.22/4.21 % (585585)------------------------------
% 16.22/4.21 % (585585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/4.21 % (585585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/4.21 % (585585)CaDiCaL version: 2.1.3
% 16.22/4.21 % (585585)Termination reason: Refutation not found, incomplete strategy
% 16.22/4.21 % (585585)Time elapsed: 0.019 s
% 16.22/4.21 % (585585)Peak memory usage: 93 MB
% 16.22/4.21 % (585585)Instructions burned: 21 (million)
% 16.22/4.21 % (585588)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3185535320:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 16.22/4.21 % (585588)Refutation not found, incomplete strategy
% 16.22/4.21 % (585588)------------------------------
% 16.22/4.21 % (585588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/4.21 % (585588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/4.21 % (585588)CaDiCaL version: 2.1.3
% 16.22/4.21 % (585588)Termination reason: Refutation not found, incomplete strategy
% 16.22/4.21 % (585588)Time elapsed: 0.028 s
% 16.22/4.21 % (585588)Peak memory usage: 93 MB
% 16.22/4.21 % (585588)Instructions burned: 38 (million)
% 16.22/4.21 % (585585)------------------------------
% 16.22/4.21 % (585585)------------------------------
% 16.22/4.21 % (585590)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=3764969262:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 16.22/4.21 % (585588)------------------------------
% 16.22/4.21 % (585588)------------------------------
% 16.22/4.21 % (585592)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=2907221021:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 16.22/4.21 % (585592)Instruction limit reached!
% 16.22/4.21 % (585592)------------------------------
% 16.22/4.21 % (585592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/4.21 % (585592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/4.21 % (585592)CaDiCaL version: 2.1.3
% 16.22/4.21 % (585592)Termination reason: Instruction limit
% 16.22/4.21 % (585592)Termination phase: Clausification
% 16.22/4.21 % (585592)Time elapsed: 0.097 s
% 16.22/4.21 % (585592)Peak memory usage: 96 MB
% 16.22/4.21 % (585592)Instructions burned: 151 (million)
% 16.22/4.21 % (585594)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4048853867:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 16.22/4.21 % (585579)First to succeed.
% 16.22/4.21 % (585579)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-585533"
% 16.22/4.21 % (585579)Refutation found. Thanks to Tanya!
% 16.22/4.21 % SZS status Theorem for theBenchmark
% 16.22/4.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/4.40 % (585579)------------------------------
% 0.17/4.40 % (585579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/4.40 % (585579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/4.40 % (585579)CaDiCaL version: 2.1.3
% 0.17/4.40 % (585579)Termination reason: Refutation
% 0.17/4.40 % (585579)Time elapsed: 1.466 s
% 0.17/4.40 % (585579)Peak memory usage: 190 MB
% 0.17/4.40 % (585579)Instructions burned: 4294 (million)
% 0.17/4.40 % (585579)------------------------------
% 0.17/4.40 % (585579)------------------------------
% 0.17/4.40 % (585533)Success in time 3.349 s
% 0.17/4.40 % Vampire exiting
%------------------------------------------------------------------------------