%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP631+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:08 AM UTC 2026
% Result : Theorem 23.46s 5.37s
% Output : Refutation 27.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 30
% Syntax : Number of formulae : 294 ( 30 unt; 16 def)
% Number of atoms : 1608 ( 258 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 2298 ( 984 ~;1135 |; 128 &)
% ( 22 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 17 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-5 aty)
% Number of variables : 184 ( 0 sgn 168 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7355,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v3_group_1(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_group_1) ).
fof(f7373,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( k1_group_1(X0,X1,X2) = X1
| k1_group_1(X0,X2,X1) = X1 )
=> X2 = k2_group_1(X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_group_1) ).
fof(f7374,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k3_group_1(X0,k2_group_1(X0)) = k2_group_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_group_1) ).
fof(f7386,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1)
<=> k1_group_1(X0,X1,k3_group_1(X0,X2)) = k1_group_1(X0,k3_group_1(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_group_1) ).
fof(f7470,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f8755,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> k2_group_1(X1) = k2_group_1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_group_2) ).
fof(f9174,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k2_group_3(X0,X1,X2) = k1_group_1(X0,k1_group_1(X0,k3_group_1(X0,X2),X1),X2)
& k2_group_3(X0,X1,X2) = k1_group_1(X0,k3_group_1(X0,X2),k1_group_1(X0,X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_group_3) ).
fof(f9178,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k2_group_3(X0,X1,k2_group_1(X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_group_3) ).
fof(f12869,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/sandbox2/benchmark/theBenchmark.p',dt_k3_autgroup) ).
fof(f12871,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/sandbox2/benchmark/theBenchmark.p',dt_k5_autgroup) ).
fof(f12901,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/sandbox2/benchmark/theBenchmark.p',t21_autgroup) ).
fof(f12904,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_autgroup) ).
fof(f12905,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_autgroup) ).
fof(f12910,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) = k6_autgroup(X0,X1)
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) = k6_autgroup(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_autgroup) ).
fof(f12911,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) = k6_autgroup(X0,X1)
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) = k6_autgroup(X0,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f12910]) ).
fof(f12944,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,[],[f12869]) ).
fof(f12945,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,[],[f12944]) ).
fof(f12948,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,[],[f12871]) ).
fof(f12949,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,[],[f12948]) ).
fof(f13004,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,[],[f12901]) ).
fof(f13005,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,[],[f13004]) ).
fof(f13010,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12904]) ).
fof(f13011,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13010]) ).
fof(f13012,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12905]) ).
fof(f13013,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13012]) ).
fof(f13022,plain,
? [X0] :
( ? [X1] :
( ( k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1))
| k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f12911]) ).
fof(f13023,plain,
? [X0] :
( ? [X1] :
( ( k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1))
| k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f13022]) ).
fof(f13109,plain,
! [X0] :
( ! [X1] :
( k2_group_3(X0,X1,k2_group_1(X0)) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f9178]) ).
fof(f13110,plain,
! [X0] :
( ! [X1] :
( k2_group_3(X0,X1,k2_group_1(X0)) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13109]) ).
fof(f13117,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k2_group_3(X0,X1,X2) = k1_group_1(X0,k1_group_1(X0,k3_group_1(X0,X2),X1),X2)
& k2_group_3(X0,X1,X2) = k1_group_1(X0,k3_group_1(X0,X2),k1_group_1(X0,X1,X2)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f9174]) ).
fof(f13118,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k2_group_3(X0,X1,X2) = k1_group_1(X0,k1_group_1(X0,k3_group_1(X0,X2),X1),X2)
& k2_group_3(X0,X1,X2) = k1_group_1(X0,k3_group_1(X0,X2),k1_group_1(X0,X1,X2)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13117]) ).
fof(f13383,plain,
! [X0] :
( ( v3_group_1(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7355]) ).
fof(f13384,plain,
! [X0] :
( ( v3_group_1(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13383]) ).
fof(f13391,plain,
! [X0] :
( ! [X1] :
( k2_group_1(X1) = k2_group_1(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,[],[f8755]) ).
fof(f13392,plain,
! [X0] :
( ! [X1] :
( k2_group_1(X1) = k2_group_1(X0)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13391]) ).
fof(f13393,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7470]) ).
fof(f13394,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13393]) ).
fof(f13395,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k2_group_1(X0)
| ( k1_group_1(X0,X1,X2) != X1
& k1_group_1(X0,X2,X1) != X1 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7373]) ).
fof(f13396,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k2_group_1(X0)
| ( k1_group_1(X0,X1,X2) != X1
& k1_group_1(X0,X2,X1) != X1 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13395]) ).
fof(f13409,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1)
<=> k1_group_1(X0,X1,k3_group_1(X0,X2)) = k1_group_1(X0,k3_group_1(X0,X2),X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7386]) ).
fof(f13410,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1)
<=> k1_group_1(X0,X1,k3_group_1(X0,X2)) = k1_group_1(X0,k3_group_1(X0,X2),X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13409]) ).
fof(f13429,plain,
! [X0] :
( k3_group_1(X0,k2_group_1(X0)) = k2_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7374]) ).
fof(f13430,plain,
! [X0] :
( k3_group_1(X0,k2_group_1(X0)) = k2_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13429]) ).
fof(f13467,plain,
( ( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,k2_group_1(sK15)),k6_autgroup(sK15,sK16))
| k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,k2_group_1(sK15))) )
& m1_subset_1(sK16,u1_struct_0(sK15))
& ~ v3_struct_0(sK15)
& v1_group_1(sK15)
& v3_group_1(sK15)
& v4_group_1(sK15)
& l1_group_1(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X0,sK15),skolemize(X1,sK16)],[f13023]) ).
fof(f13566,plain,
! [X0] :
( ( ( v3_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( ( k1_group_1(X0,X2,X1) != X2
| k1_group_1(X0,X1,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,X2,X3) != X1
| k1_group_1(X0,X3,X2) != X1 ) )
& m1_subset_1(X2,u1_struct_0(X0)) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ v3_group_1(X0) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f13384]) ).
fof(f13567,plain,
! [X0] :
( ( ( v3_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( ( k1_group_1(X0,X2,X1) != X2
| k1_group_1(X0,X1,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,X2,X3) != X1
| k1_group_1(X0,X3,X2) != X1 ) )
& m1_subset_1(X2,u1_struct_0(X0)) ) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ! [X5] :
( ( k1_group_1(X0,X5,X4) = X5
& k1_group_1(X0,X4,X5) = X5
& ? [X6] :
( m1_subset_1(X6,u1_struct_0(X0))
& k1_group_1(X0,X5,X6) = X4
& k1_group_1(X0,X6,X5) = X4 ) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) ) )
| ~ v3_group_1(X0) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f13566]) ).
fof(f13568,plain,
! [X0] :
( ( ( v3_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( sK98(X0,X1) != k1_group_1(X0,sK98(X0,X1),X1)
| sK98(X0,X1) != k1_group_1(X0,X1,sK98(X0,X1))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,sK98(X0,X1),X3) != X1
| k1_group_1(X0,X3,sK98(X0,X1)) != X1 ) )
& m1_subset_1(sK98(X0,X1),u1_struct_0(X0)) ) ) )
& ( ( m1_subset_1(sK99(X0),u1_struct_0(X0))
& ! [X5] :
( ( k1_group_1(X0,X5,sK99(X0)) = X5
& k1_group_1(X0,sK99(X0),X5) = X5
& m1_subset_1(sK100(X0,X5),u1_struct_0(X0))
& sK99(X0) = k1_group_1(X0,X5,sK100(X0,X5))
& sK99(X0) = k1_group_1(X0,sK100(X0,X5),X5) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) ) )
| ~ v3_group_1(X0) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK98,sK99,sK100]),skolemize(X2,sK98(X0,X1)),skolemize(X4,sK99(X0)),skolemize(X6,sK100(X0,X5))],[f13567]) ).
fof(f13575,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1)
| k1_group_1(X0,X1,k3_group_1(X0,X2)) != k1_group_1(X0,k3_group_1(X0,X2),X1) )
& ( k1_group_1(X0,X1,k3_group_1(X0,X2)) = k1_group_1(X0,k3_group_1(X0,X2),X1)
| k1_group_1(X0,X1,X2) != k1_group_1(X0,X2,X1) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f13410]) ).
fof(f13592,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,[],[f12945]) ).
fof(f13593,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,[],[f12945]) ).
fof(f13594,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,[],[f12945]) ).
fof(f13596,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,[],[f12945]) ).
fof(f13598,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,[],[f12949]) ).
fof(f13672,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(cnf_transformation,[],[f13005]) ).
fof(f13677,plain,
! [X2,X0,X1] :
( k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13011]) ).
fof(f13678,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k6_autgroup(X0,k2_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,[],[f13013]) ).
fof(f13683,plain,
l1_group_1(sK15),
inference(cnf_transformation,[],[f13467]) ).
fof(f13684,plain,
v4_group_1(sK15),
inference(cnf_transformation,[],[f13467]) ).
fof(f13685,plain,
v3_group_1(sK15),
inference(cnf_transformation,[],[f13467]) ).
fof(f13686,plain,
v1_group_1(sK15),
inference(cnf_transformation,[],[f13467]) ).
fof(f13687,plain,
~ v3_struct_0(sK15),
inference(cnf_transformation,[],[f13467]) ).
fof(f13688,plain,
m1_subset_1(sK16,u1_struct_0(sK15)),
inference(cnf_transformation,[],[f13467]) ).
fof(f13689,plain,
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,k2_group_1(sK15)),k6_autgroup(sK15,sK16))
| k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,k2_group_1(sK15))) ),
inference(cnf_transformation,[],[f13467]) ).
fof(f13783,plain,
! [X0,X1] :
( k2_group_3(X0,X1,k2_group_1(X0)) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13110]) ).
fof(f13787,plain,
! [X2,X0,X1] :
( k2_group_3(X0,X1,X2) = k1_group_1(X0,k3_group_1(X0,X2),k1_group_1(X0,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13118]) ).
fof(f14213,plain,
! [X0,X5] :
( m1_subset_1(sK100(X0,X5),u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13568]) ).
fof(f14215,plain,
! [X0,X5] :
( k1_group_1(X0,X5,sK99(X0)) = X5
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13568]) ).
fof(f14216,plain,
! [X0] :
( m1_subset_1(sK99(X0),u1_struct_0(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13568]) ).
fof(f14222,plain,
! [X0,X1] :
( k2_group_1(X0) = k2_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(cnf_transformation,[],[f13392]) ).
fof(f14223,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13394]) ).
fof(f14225,plain,
! [X2,X0,X1] :
( k2_group_1(X0) = X2
| k1_group_1(X0,X1,X2) != X1
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13396]) ).
fof(f14254,plain,
! [X2,X0,X1] :
( k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1)
| k1_group_1(X0,X1,k3_group_1(X0,X2)) != k1_group_1(X0,k3_group_1(X0,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13575]) ).
fof(f14271,plain,
! [X0] :
( k2_group_1(X0) = k3_group_1(X0,k2_group_1(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13430]) ).
fof(f14463,definition,
( spl151_1
<=> k6_autgroup(sK15,sK16) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,k2_group_1(sK15))) ),
introduced(definition,[new_symbols(definition,[spl151_1])],[avatar_definition]) ).
fof(f14465,plain,
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,k2_group_1(sK15)))
| spl151_1 ),
inference(avatar_component_clause,[],[f14463]) ).
fof(f14467,definition,
( spl151_2
<=> k6_autgroup(sK15,sK16) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,k2_group_1(sK15)),k6_autgroup(sK15,sK16)) ),
introduced(definition,[new_symbols(definition,[spl151_2])],[avatar_definition]) ).
fof(f14469,plain,
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,k2_group_1(sK15)),k6_autgroup(sK15,sK16))
| spl151_2 ),
inference(avatar_component_clause,[],[f14467]) ).
fof(f14470,plain,
( ~ spl151_1
| ~ spl151_2 ),
inference(avatar_split_clause,[],[f13689,f14467,f14463]) ).
fof(f14479,plain,
( ! [X0,X1] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0))
| k1_group_1(sK15,X1,X0) != X1
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ m1_subset_1(X1,u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| spl151_1 ),
inference(superposition,[],[f14465,f14225]) ).
fof(f14501,plain,
( ! [X0,X1] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0))
| k1_group_1(sK15,X1,X0) != X1
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ m1_subset_1(X1,u1_struct_0(sK15))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| spl151_1 ),
inference(forward_subsumption_resolution,[],[f14479,f13687]) ).
fof(f14517,plain,
( ! [X0,X1] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0))
| k1_group_1(sK15,X1,X0) != X1
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ m1_subset_1(X1,u1_struct_0(sK15))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| spl151_1 ),
inference(forward_subsumption_resolution,[],[f14501,f13685]) ).
fof(f14533,plain,
( ! [X0,X1] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0))
| k1_group_1(sK15,X1,X0) != X1
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ m1_subset_1(X1,u1_struct_0(sK15))
| ~ l1_group_1(sK15) )
| spl151_1 ),
inference(forward_subsumption_resolution,[],[f14517,f13684]) ).
fof(f14547,plain,
( ! [X0,X1] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0))
| k1_group_1(sK15,X1,X0) != X1
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ m1_subset_1(X1,u1_struct_0(sK15)) )
| spl151_1 ),
inference(forward_subsumption_resolution,[],[f14533,f13683]) ).
fof(f14569,definition,
( spl151_3
<=> v3_struct_0(sK15) ),
introduced(definition,[new_symbols(definition,[spl151_3])],[avatar_definition]) ).
fof(f14571,plain,
( ~ v3_struct_0(sK15)
| spl151_3 ),
inference(avatar_component_clause,[],[f14569]) ).
fof(f14572,plain,
~ spl151_3,
inference(avatar_split_clause,[],[f13687,f14569]) ).
fof(f14577,plain,
( l1_group_1(k3_autgroup(sK15))
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(resolution,[],[f14571,f13592]) ).
fof(f14578,plain,
( v4_group_1(k3_autgroup(sK15))
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(resolution,[],[f14571,f13593]) ).
fof(f14579,plain,
( v3_group_1(k3_autgroup(sK15))
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(resolution,[],[f14571,f13594]) ).
fof(f14581,plain,
( ~ v3_struct_0(k3_autgroup(sK15))
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(resolution,[],[f14571,f13596]) ).
fof(f14583,plain,
( m1_group_2(k5_autgroup(sK15),k3_autgroup(sK15))
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(resolution,[],[f14571,f13598]) ).
fof(f14641,plain,
( k6_partfun1(u1_struct_0(sK15)) = k2_group_1(k5_autgroup(sK15))
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(resolution,[],[f14571,f13672]) ).
fof(f14645,plain,
( k6_autgroup(sK15,k2_group_1(sK15)) = k6_partfun1(u1_struct_0(sK15))
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(resolution,[],[f14571,f13678]) ).
fof(f14864,plain,
( k2_group_1(sK15) = k3_group_1(sK15,k2_group_1(sK15))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(resolution,[],[f14571,f14271]) ).
fof(f14937,plain,
( k2_group_1(sK15) = k3_group_1(sK15,k2_group_1(sK15))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f14864,f13685]) ).
fof(f15117,plain,
( k6_autgroup(sK15,k2_group_1(sK15)) = k6_partfun1(u1_struct_0(sK15))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f14645,f13686]) ).
fof(f15121,plain,
( k6_partfun1(u1_struct_0(sK15)) = k2_group_1(k5_autgroup(sK15))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f14641,f13686]) ).
fof(f15179,plain,
( m1_group_2(k5_autgroup(sK15),k3_autgroup(sK15))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f14583,f13686]) ).
fof(f15181,plain,
( ~ v3_struct_0(k3_autgroup(sK15))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f14581,f13686]) ).
fof(f15183,plain,
( v3_group_1(k3_autgroup(sK15))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f14579,f13686]) ).
fof(f15184,plain,
( v4_group_1(k3_autgroup(sK15))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f14578,f13686]) ).
fof(f15185,plain,
( l1_group_1(k3_autgroup(sK15))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f14577,f13686]) ).
fof(f15222,plain,
( k2_group_1(sK15) = k3_group_1(sK15,k2_group_1(sK15))
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f14937,f13684]) ).
fof(f15392,plain,
( k6_autgroup(sK15,k2_group_1(sK15)) = k6_partfun1(u1_struct_0(sK15))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15117,f13685]) ).
fof(f15396,plain,
( k6_partfun1(u1_struct_0(sK15)) = k2_group_1(k5_autgroup(sK15))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15121,f13685]) ).
fof(f15454,plain,
( m1_group_2(k5_autgroup(sK15),k3_autgroup(sK15))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15179,f13685]) ).
fof(f15456,plain,
( ~ v3_struct_0(k3_autgroup(sK15))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15181,f13685]) ).
fof(f15458,plain,
( v3_group_1(k3_autgroup(sK15))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15183,f13685]) ).
fof(f15459,plain,
( v4_group_1(k3_autgroup(sK15))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15184,f13685]) ).
fof(f15460,plain,
( l1_group_1(k3_autgroup(sK15))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15185,f13685]) ).
fof(f15496,plain,
( k2_group_1(sK15) = k3_group_1(sK15,k2_group_1(sK15))
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15222,f13683]) ).
fof(f15650,plain,
( k6_autgroup(sK15,k2_group_1(sK15)) = k6_partfun1(u1_struct_0(sK15))
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15392,f13684]) ).
fof(f15654,plain,
( k6_partfun1(u1_struct_0(sK15)) = k2_group_1(k5_autgroup(sK15))
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15396,f13684]) ).
fof(f15712,plain,
( m1_group_2(k5_autgroup(sK15),k3_autgroup(sK15))
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15454,f13684]) ).
fof(f15714,plain,
( ~ v3_struct_0(k3_autgroup(sK15))
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15456,f13684]) ).
fof(f15716,plain,
( v3_group_1(k3_autgroup(sK15))
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15458,f13684]) ).
fof(f15717,plain,
( v4_group_1(k3_autgroup(sK15))
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15459,f13684]) ).
fof(f15718,plain,
( l1_group_1(k3_autgroup(sK15))
| ~ l1_group_1(sK15)
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15460,f13684]) ).
fof(f15762,plain,
( k6_autgroup(sK15,k2_group_1(sK15)) = k6_partfun1(u1_struct_0(sK15))
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15650,f13683]) ).
fof(f15766,plain,
( k6_partfun1(u1_struct_0(sK15)) = k2_group_1(k5_autgroup(sK15))
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15654,f13683]) ).
fof(f15824,plain,
( m1_group_2(k5_autgroup(sK15),k3_autgroup(sK15))
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15712,f13683]) ).
fof(f15826,plain,
( ~ v3_struct_0(k3_autgroup(sK15))
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15714,f13683]) ).
fof(f15828,plain,
( v3_group_1(k3_autgroup(sK15))
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15716,f13683]) ).
fof(f15829,plain,
( v4_group_1(k3_autgroup(sK15))
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15717,f13683]) ).
fof(f15830,plain,
( l1_group_1(k3_autgroup(sK15))
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f15718,f13683]) ).
fof(f16095,definition,
( spl151_5
<=> l1_group_1(sK15) ),
introduced(definition,[new_symbols(definition,[spl151_5])],[avatar_definition]) ).
fof(f16097,plain,
( l1_group_1(sK15)
| ~ spl151_5 ),
inference(avatar_component_clause,[],[f16095]) ).
fof(f16098,plain,
spl151_5,
inference(avatar_split_clause,[],[f13683,f16095]) ).
fof(f16100,definition,
( spl151_6
<=> v1_group_1(sK15) ),
introduced(definition,[new_symbols(definition,[spl151_6])],[avatar_definition]) ).
fof(f16102,plain,
( v1_group_1(sK15)
| ~ spl151_6 ),
inference(avatar_component_clause,[],[f16100]) ).
fof(f16103,plain,
spl151_6,
inference(avatar_split_clause,[],[f13686,f16100]) ).
fof(f16105,definition,
( spl151_7
<=> m1_subset_1(sK16,u1_struct_0(sK15)) ),
introduced(definition,[new_symbols(definition,[spl151_7])],[avatar_definition]) ).
fof(f16107,plain,
( m1_subset_1(sK16,u1_struct_0(sK15))
| ~ spl151_7 ),
inference(avatar_component_clause,[],[f16105]) ).
fof(f16108,plain,
spl151_7,
inference(avatar_split_clause,[],[f13688,f16105]) ).
fof(f16121,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0)) = k6_autgroup(sK15,k1_group_1(sK15,sK16,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| ~ spl151_7 ),
inference(resolution,[],[f16107,f13677]) ).
fof(f16122,plain,
( ! [X0] :
( k6_autgroup(sK15,k1_group_1(sK15,X0,sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,X0),k6_autgroup(sK15,sK16))
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| ~ spl151_7 ),
inference(resolution,[],[f16107,f13677]) ).
fof(f16158,plain,
( sK16 = k2_group_3(sK15,sK16,k2_group_1(sK15))
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_7 ),
inference(resolution,[],[f16107,f13783]) ).
fof(f16225,plain,
( m1_subset_1(sK100(sK15,sK16),u1_struct_0(sK15))
| ~ v3_group_1(sK15)
| v3_struct_0(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_7 ),
inference(resolution,[],[f16107,f14213]) ).
fof(f16227,plain,
( sK16 = k1_group_1(sK15,sK16,sK99(sK15))
| ~ v3_group_1(sK15)
| v3_struct_0(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_7 ),
inference(resolution,[],[f16107,f14215]) ).
fof(f16417,plain,
( sK16 = k1_group_1(sK15,sK16,sK99(sK15))
| v3_struct_0(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16227,f13685]) ).
fof(f16419,plain,
( m1_subset_1(sK100(sK15,sK16),u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16225,f13685]) ).
fof(f16462,plain,
( sK16 = k2_group_3(sK15,sK16,k2_group_1(sK15))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16158,f14571]) ).
fof(f16496,plain,
( ! [X0] :
( k6_autgroup(sK15,k1_group_1(sK15,X0,sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,X0),k6_autgroup(sK15,sK16))
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| spl151_3
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16122,f14571]) ).
fof(f16497,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0)) = k6_autgroup(sK15,k1_group_1(sK15,sK16,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| spl151_3
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16121,f14571]) ).
fof(f16585,plain,
( sK16 = k1_group_1(sK15,sK16,sK99(sK15))
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16417,f14571]) ).
fof(f16587,plain,
( m1_subset_1(sK100(sK15,sK16),u1_struct_0(sK15))
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16419,f14571]) ).
fof(f16630,plain,
( sK16 = k2_group_3(sK15,sK16,k2_group_1(sK15))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16462,f13685]) ).
fof(f16664,plain,
( ! [X0] :
( k6_autgroup(sK15,k1_group_1(sK15,X0,sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,X0),k6_autgroup(sK15,sK16))
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| spl151_3
| ~ spl151_6
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16496,f16102]) ).
fof(f16665,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0)) = k6_autgroup(sK15,k1_group_1(sK15,sK16,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| spl151_3
| ~ spl151_6
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16497,f16102]) ).
fof(f16747,plain,
( sK16 = k1_group_1(sK15,sK16,sK99(sK15))
| spl151_3
| ~ spl151_5
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16585,f16097]) ).
fof(f16749,plain,
( m1_subset_1(sK100(sK15,sK16),u1_struct_0(sK15))
| spl151_3
| ~ spl151_5
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16587,f16097]) ).
fof(f16788,plain,
( sK16 = k2_group_3(sK15,sK16,k2_group_1(sK15))
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16630,f13684]) ).
fof(f16822,plain,
( ! [X0] :
( k6_autgroup(sK15,k1_group_1(sK15,X0,sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,X0),k6_autgroup(sK15,sK16))
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| spl151_3
| ~ spl151_6
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16664,f13685]) ).
fof(f16823,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0)) = k6_autgroup(sK15,k1_group_1(sK15,sK16,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| spl151_3
| ~ spl151_6
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16665,f13685]) ).
fof(f16936,plain,
( sK16 = k2_group_3(sK15,sK16,k2_group_1(sK15))
| spl151_3
| ~ spl151_5
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16788,f16097]) ).
fof(f16970,plain,
( ! [X0] :
( k6_autgroup(sK15,k1_group_1(sK15,X0,sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,X0),k6_autgroup(sK15,sK16))
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ l1_group_1(sK15) )
| spl151_3
| ~ spl151_6
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16822,f13684]) ).
fof(f16971,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0)) = k6_autgroup(sK15,k1_group_1(sK15,sK16,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ l1_group_1(sK15) )
| spl151_3
| ~ spl151_6
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16823,f13684]) ).
fof(f16997,plain,
( ! [X0] :
( k6_autgroup(sK15,k1_group_1(sK15,X0,sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,X0),k6_autgroup(sK15,sK16))
| ~ m1_subset_1(X0,u1_struct_0(sK15)) )
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16970,f16097]) ).
fof(f16998,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0)) = k6_autgroup(sK15,k1_group_1(sK15,sK16,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK15)) )
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7 ),
inference(forward_subsumption_resolution,[],[f16971,f16097]) ).
fof(f17045,definition,
( spl151_9
<=> v3_group_1(sK15) ),
introduced(definition,[new_symbols(definition,[spl151_9])],[avatar_definition]) ).
fof(f17047,plain,
( v3_group_1(sK15)
| ~ spl151_9 ),
inference(avatar_component_clause,[],[f17045]) ).
fof(f17048,plain,
spl151_9,
inference(avatar_split_clause,[],[f13685,f17045]) ).
fof(f17061,definition,
( spl151_12
<=> v4_group_1(sK15) ),
introduced(definition,[new_symbols(definition,[spl151_12])],[avatar_definition]) ).
fof(f17063,plain,
( v4_group_1(sK15)
| ~ spl151_12 ),
inference(avatar_component_clause,[],[f17061]) ).
fof(f17064,plain,
spl151_12,
inference(avatar_split_clause,[],[f13684,f17061]) ).
fof(f18271,definition,
( spl151_23
<=> ! [X0] :
( k6_autgroup(sK15,k1_group_1(sK15,X0,sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,X0),k6_autgroup(sK15,sK16))
| ~ m1_subset_1(X0,u1_struct_0(sK15)) ) ),
introduced(definition,[new_symbols(definition,[spl151_23])],[avatar_definition]) ).
fof(f18272,plain,
( ! [X0] :
( k6_autgroup(sK15,k1_group_1(sK15,X0,sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,X0),k6_autgroup(sK15,sK16))
| ~ m1_subset_1(X0,u1_struct_0(sK15)) )
| ~ spl151_23 ),
inference(avatar_component_clause,[],[f18271]) ).
fof(f18273,plain,
( spl151_23
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7 ),
inference(avatar_split_clause,[],[f16997,f16105,f16100,f16095,f14569,f18271]) ).
fof(f18276,plain,
( k6_autgroup(sK15,k1_group_1(sK15,k2_group_1(sK15),sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_partfun1(u1_struct_0(sK15)),k6_autgroup(sK15,sK16))
| ~ m1_subset_1(k2_group_1(sK15),u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_23 ),
inference(superposition,[],[f18272,f13678]) ).
fof(f18323,plain,
( k6_autgroup(sK15,k1_group_1(sK15,k2_group_1(sK15),sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_partfun1(u1_struct_0(sK15)),k6_autgroup(sK15,sK16))
| v3_struct_0(sK15)
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_23 ),
inference(forward_subsumption_resolution,[],[f18276,f14223]) ).
fof(f18341,plain,
( k6_autgroup(sK15,k1_group_1(sK15,k2_group_1(sK15),sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_partfun1(u1_struct_0(sK15)),k6_autgroup(sK15,sK16))
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_23 ),
inference(forward_subsumption_resolution,[],[f18323,f14571]) ).
fof(f18359,plain,
( k6_autgroup(sK15,k1_group_1(sK15,k2_group_1(sK15),sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_partfun1(u1_struct_0(sK15)),k6_autgroup(sK15,sK16))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_6
| ~ spl151_23 ),
inference(forward_subsumption_resolution,[],[f18341,f16102]) ).
fof(f18377,plain,
( k6_autgroup(sK15,k1_group_1(sK15,k2_group_1(sK15),sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_partfun1(u1_struct_0(sK15)),k6_autgroup(sK15,sK16))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_6
| ~ spl151_9
| ~ spl151_23 ),
inference(forward_subsumption_resolution,[],[f18359,f17047]) ).
fof(f18391,plain,
( k6_autgroup(sK15,k1_group_1(sK15,k2_group_1(sK15),sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_partfun1(u1_struct_0(sK15)),k6_autgroup(sK15,sK16))
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_23 ),
inference(forward_subsumption_resolution,[],[f18377,f17063]) ).
fof(f18404,plain,
( k6_autgroup(sK15,k1_group_1(sK15,k2_group_1(sK15),sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_partfun1(u1_struct_0(sK15)),k6_autgroup(sK15,sK16))
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_23 ),
inference(forward_subsumption_resolution,[],[f18391,f16097]) ).
fof(f18412,plain,
( k6_autgroup(sK15,k1_group_1(sK15,k2_group_1(sK15),sK16)) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k2_group_1(k5_autgroup(sK15)),k6_autgroup(sK15,sK16))
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_23 ),
inference(forward_demodulation,[],[f18404,f15766]) ).
fof(f18418,definition,
( spl151_24
<=> ! [X0] :
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0)) = k6_autgroup(sK15,k1_group_1(sK15,sK16,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK15)) ) ),
introduced(definition,[new_symbols(definition,[spl151_24])],[avatar_definition]) ).
fof(f18419,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0)) = k6_autgroup(sK15,k1_group_1(sK15,sK16,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK15)) )
| ~ spl151_24 ),
inference(avatar_component_clause,[],[f18418]) ).
fof(f18420,plain,
( spl151_24
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7 ),
inference(avatar_split_clause,[],[f16998,f16105,f16100,f16095,f14569,f18418]) ).
fof(f18425,plain,
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_partfun1(u1_struct_0(sK15))) = k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| ~ m1_subset_1(k2_group_1(sK15),u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_24 ),
inference(superposition,[],[f18419,f13678]) ).
fof(f18469,plain,
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_partfun1(u1_struct_0(sK15))) = k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| v3_struct_0(sK15)
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_24 ),
inference(forward_subsumption_resolution,[],[f18425,f14223]) ).
fof(f18487,plain,
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_partfun1(u1_struct_0(sK15))) = k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_24 ),
inference(forward_subsumption_resolution,[],[f18469,f14571]) ).
fof(f18505,plain,
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_partfun1(u1_struct_0(sK15))) = k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_6
| ~ spl151_24 ),
inference(forward_subsumption_resolution,[],[f18487,f16102]) ).
fof(f18523,plain,
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_partfun1(u1_struct_0(sK15))) = k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_6
| ~ spl151_9
| ~ spl151_24 ),
inference(forward_subsumption_resolution,[],[f18505,f17047]) ).
fof(f18537,plain,
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_partfun1(u1_struct_0(sK15))) = k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_24 ),
inference(forward_subsumption_resolution,[],[f18523,f17063]) ).
fof(f18550,plain,
( k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_partfun1(u1_struct_0(sK15))) = k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_24 ),
inference(forward_subsumption_resolution,[],[f18537,f16097]) ).
fof(f18560,plain,
( k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15))) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k2_group_1(k5_autgroup(sK15)))
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_24 ),
inference(forward_demodulation,[],[f18550,f15766]) ).
fof(f19818,definition,
( spl151_30
<=> ! [X0,X1] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0))
| k1_group_1(sK15,X1,X0) != X1
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ m1_subset_1(X1,u1_struct_0(sK15)) ) ),
introduced(definition,[new_symbols(definition,[spl151_30])],[avatar_definition]) ).
fof(f19819,plain,
( ! [X0,X1] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_autgroup(sK15,X0))
| k1_group_1(sK15,X1,X0) != X1
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ m1_subset_1(X1,u1_struct_0(sK15)) )
| ~ spl151_30 ),
inference(avatar_component_clause,[],[f19818]) ).
fof(f19820,plain,
( spl151_30
| spl151_1 ),
inference(avatar_split_clause,[],[f14547,f14463,f19818]) ).
fof(f19822,plain,
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_partfun1(u1_struct_0(sK15)),k6_autgroup(sK15,sK16))
| spl151_2
| spl151_3 ),
inference(forward_demodulation,[],[f14469,f15762]) ).
fof(f19825,plain,
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k2_group_1(k5_autgroup(sK15)),k6_autgroup(sK15,sK16))
| spl151_2
| spl151_3 ),
inference(forward_demodulation,[],[f19822,f15766]) ).
fof(f19829,plain,
( k6_autgroup(sK15,sK16) != k6_autgroup(sK15,k1_group_1(sK15,k2_group_1(sK15),sK16))
| spl151_2
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_23 ),
inference(forward_demodulation,[],[f19825,f18412]) ).
fof(f19837,definition,
( spl151_31
<=> k6_autgroup(sK15,sK16) = k6_autgroup(sK15,k1_group_1(sK15,k2_group_1(sK15),sK16)) ),
introduced(definition,[new_symbols(definition,[spl151_31])],[avatar_definition]) ).
fof(f19839,plain,
( k6_autgroup(sK15,sK16) != k6_autgroup(sK15,k1_group_1(sK15,k2_group_1(sK15),sK16))
| spl151_31 ),
inference(avatar_component_clause,[],[f19837]) ).
fof(f19840,plain,
( ~ spl151_31
| spl151_2
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_23 ),
inference(avatar_split_clause,[],[f19829,f18271,f17061,f17045,f16100,f16095,f14569,f14467,f19837]) ).
fof(f19854,plain,
( k6_autgroup(sK15,sK16) != k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| k1_group_1(sK15,sK16,k3_group_1(sK15,k2_group_1(sK15))) != k1_group_1(sK15,k3_group_1(sK15,k2_group_1(sK15)),sK16)
| ~ m1_subset_1(k2_group_1(sK15),u1_struct_0(sK15))
| ~ m1_subset_1(sK16,u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_31 ),
inference(superposition,[],[f19839,f14254]) ).
fof(f20854,definition,
( spl151_41
<=> m1_group_2(k5_autgroup(sK15),k3_autgroup(sK15)) ),
introduced(definition,[new_symbols(definition,[spl151_41])],[avatar_definition]) ).
fof(f20856,plain,
( m1_group_2(k5_autgroup(sK15),k3_autgroup(sK15))
| ~ spl151_41 ),
inference(avatar_component_clause,[],[f20854]) ).
fof(f20857,plain,
( spl151_41
| spl151_3 ),
inference(avatar_split_clause,[],[f15824,f14569,f20854]) ).
fof(f20909,plain,
( k2_group_1(k3_autgroup(sK15)) = k2_group_1(k5_autgroup(sK15))
| v3_struct_0(k3_autgroup(sK15))
| ~ v3_group_1(k3_autgroup(sK15))
| ~ v4_group_1(k3_autgroup(sK15))
| ~ l1_group_1(k3_autgroup(sK15))
| ~ spl151_41 ),
inference(resolution,[],[f20856,f14222]) ).
fof(f20918,plain,
( k2_group_1(k3_autgroup(sK15)) = k2_group_1(k5_autgroup(sK15))
| ~ v3_group_1(k3_autgroup(sK15))
| ~ v4_group_1(k3_autgroup(sK15))
| ~ l1_group_1(k3_autgroup(sK15))
| spl151_3
| ~ spl151_41 ),
inference(forward_subsumption_resolution,[],[f20909,f15826]) ).
fof(f20960,plain,
( k2_group_1(k3_autgroup(sK15)) = k2_group_1(k5_autgroup(sK15))
| ~ v4_group_1(k3_autgroup(sK15))
| ~ l1_group_1(k3_autgroup(sK15))
| spl151_3
| ~ spl151_41 ),
inference(forward_subsumption_resolution,[],[f20918,f15828]) ).
fof(f21002,plain,
( k2_group_1(k3_autgroup(sK15)) = k2_group_1(k5_autgroup(sK15))
| ~ l1_group_1(k3_autgroup(sK15))
| spl151_3
| ~ spl151_41 ),
inference(forward_subsumption_resolution,[],[f20960,f15829]) ).
fof(f21044,plain,
( k2_group_1(k3_autgroup(sK15)) = k2_group_1(k5_autgroup(sK15))
| spl151_3
| ~ spl151_41 ),
inference(forward_subsumption_resolution,[],[f21002,f15830]) ).
fof(f22740,definition,
( spl151_46
<=> k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15))) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k2_group_1(k5_autgroup(sK15))) ),
introduced(definition,[new_symbols(definition,[spl151_46])],[avatar_definition]) ).
fof(f22742,plain,
( k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15))) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k2_group_1(k5_autgroup(sK15)))
| ~ spl151_46 ),
inference(avatar_component_clause,[],[f22740]) ).
fof(f22743,plain,
( spl151_46
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_24 ),
inference(avatar_split_clause,[],[f18560,f18418,f17061,f17045,f16100,f16095,f14569,f22740]) ).
fof(f22757,plain,
( k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15))) = k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k2_group_1(k3_autgroup(sK15)))
| spl151_3
| ~ spl151_41
| ~ spl151_46 ),
inference(forward_demodulation,[],[f22742,f21044]) ).
fof(f22776,plain,
( ! [X0] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_partfun1(u1_struct_0(sK15)))
| k1_group_1(sK15,X0,k2_group_1(sK15)) != X0
| ~ m1_subset_1(k2_group_1(sK15),u1_struct_0(sK15))
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| ~ spl151_30 ),
inference(superposition,[],[f19819,f13678]) ).
fof(f22800,plain,
( ! [X0] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_partfun1(u1_struct_0(sK15)))
| k1_group_1(sK15,X0,k2_group_1(sK15)) != X0
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| ~ spl151_30 ),
inference(forward_subsumption_resolution,[],[f22776,f14223]) ).
fof(f22811,plain,
( ! [X0] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_partfun1(u1_struct_0(sK15)))
| k1_group_1(sK15,X0,k2_group_1(sK15)) != X0
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| spl151_3
| ~ spl151_30 ),
inference(forward_subsumption_resolution,[],[f22800,f14571]) ).
fof(f22820,plain,
( ! [X0] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_partfun1(u1_struct_0(sK15)))
| k1_group_1(sK15,X0,k2_group_1(sK15)) != X0
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| spl151_3
| ~ spl151_6
| ~ spl151_30 ),
inference(forward_subsumption_resolution,[],[f22811,f16102]) ).
fof(f22829,plain,
( ! [X0] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_partfun1(u1_struct_0(sK15)))
| k1_group_1(sK15,X0,k2_group_1(sK15)) != X0
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15) )
| spl151_3
| ~ spl151_6
| ~ spl151_9
| ~ spl151_30 ),
inference(forward_subsumption_resolution,[],[f22820,f17047]) ).
fof(f22838,plain,
( ! [X0] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_partfun1(u1_struct_0(sK15)))
| k1_group_1(sK15,X0,k2_group_1(sK15)) != X0
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ l1_group_1(sK15) )
| spl151_3
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_30 ),
inference(forward_subsumption_resolution,[],[f22829,f17063]) ).
fof(f22847,plain,
( ! [X0] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k6_partfun1(u1_struct_0(sK15)))
| k1_group_1(sK15,X0,k2_group_1(sK15)) != X0
| ~ m1_subset_1(X0,u1_struct_0(sK15)) )
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_30 ),
inference(forward_subsumption_resolution,[],[f22838,f16097]) ).
fof(f22853,plain,
( ! [X0] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k2_group_1(k5_autgroup(sK15)))
| k1_group_1(sK15,X0,k2_group_1(sK15)) != X0
| ~ m1_subset_1(X0,u1_struct_0(sK15)) )
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_30 ),
inference(forward_demodulation,[],[f22847,f15766]) ).
fof(f22856,plain,
( ! [X0] :
( k6_autgroup(sK15,sK16) != k7_funct_2(u1_struct_0(sK15),u1_struct_0(sK15),u1_struct_0(sK15),k6_autgroup(sK15,sK16),k2_group_1(k3_autgroup(sK15)))
| k1_group_1(sK15,X0,k2_group_1(sK15)) != X0
| ~ m1_subset_1(X0,u1_struct_0(sK15)) )
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_30
| ~ spl151_41 ),
inference(forward_demodulation,[],[f22853,f21044]) ).
fof(f22859,plain,
( ! [X0] :
( k6_autgroup(sK15,sK16) != k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| k1_group_1(sK15,X0,k2_group_1(sK15)) != X0
| ~ m1_subset_1(X0,u1_struct_0(sK15)) )
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_30
| ~ spl151_41
| ~ spl151_46 ),
inference(forward_demodulation,[],[f22856,f22757]) ).
fof(f27827,definition,
( spl151_67
<=> sK16 = k1_group_1(sK15,sK16,sK99(sK15)) ),
introduced(definition,[new_symbols(definition,[spl151_67])],[avatar_definition]) ).
fof(f27829,plain,
( sK16 = k1_group_1(sK15,sK16,sK99(sK15))
| ~ spl151_67 ),
inference(avatar_component_clause,[],[f27827]) ).
fof(f27830,plain,
( spl151_67
| spl151_3
| ~ spl151_5
| ~ spl151_7 ),
inference(avatar_split_clause,[],[f16747,f16105,f16095,f14569,f27827]) ).
fof(f29580,plain,
( k2_group_3(sK15,sK16,sK99(sK15)) = k1_group_1(sK15,k3_group_1(sK15,sK99(sK15)),sK16)
| ~ m1_subset_1(sK99(sK15),u1_struct_0(sK15))
| ~ m1_subset_1(sK16,u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_67 ),
inference(superposition,[],[f13787,f27829]) ).
fof(f29589,plain,
( sK16 != sK16
| k2_group_1(sK15) = sK99(sK15)
| ~ m1_subset_1(sK99(sK15),u1_struct_0(sK15))
| ~ m1_subset_1(sK16,u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_67 ),
inference(superposition,[],[f14225,f27829]) ).
fof(f29610,plain,
( k2_group_1(sK15) = sK99(sK15)
| ~ m1_subset_1(sK99(sK15),u1_struct_0(sK15))
| ~ m1_subset_1(sK16,u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_67 ),
inference(trivial_inequality_removal,[],[f29589]) ).
fof(f29623,plain,
( k2_group_1(sK15) = sK99(sK15)
| ~ m1_subset_1(sK16,u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_67 ),
inference(forward_subsumption_resolution,[],[f29610,f14216]) ).
fof(f29630,plain,
( k2_group_3(sK15,sK16,sK99(sK15)) = k1_group_1(sK15,k3_group_1(sK15,sK99(sK15)),sK16)
| ~ m1_subset_1(sK16,u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_67 ),
inference(forward_subsumption_resolution,[],[f29580,f14216]) ).
fof(f29646,plain,
( k2_group_1(sK15) = sK99(sK15)
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_7
| ~ spl151_67 ),
inference(forward_subsumption_resolution,[],[f29623,f16107]) ).
fof(f29653,plain,
( k2_group_3(sK15,sK16,sK99(sK15)) = k1_group_1(sK15,k3_group_1(sK15,sK99(sK15)),sK16)
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_7
| ~ spl151_67 ),
inference(forward_subsumption_resolution,[],[f29630,f16107]) ).
fof(f29669,plain,
( k2_group_1(sK15) = sK99(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_7
| ~ spl151_67 ),
inference(forward_subsumption_resolution,[],[f29646,f14571]) ).
fof(f29676,plain,
( k2_group_3(sK15,sK16,sK99(sK15)) = k1_group_1(sK15,k3_group_1(sK15,sK99(sK15)),sK16)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_7
| ~ spl151_67 ),
inference(forward_subsumption_resolution,[],[f29653,f14571]) ).
fof(f29692,plain,
( k2_group_1(sK15) = sK99(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_7
| ~ spl151_9
| ~ spl151_67 ),
inference(forward_subsumption_resolution,[],[f29669,f17047]) ).
fof(f29699,plain,
( k2_group_3(sK15,sK16,sK99(sK15)) = k1_group_1(sK15,k3_group_1(sK15,sK99(sK15)),sK16)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_7
| ~ spl151_9
| ~ spl151_67 ),
inference(forward_subsumption_resolution,[],[f29676,f17047]) ).
fof(f29714,plain,
( k2_group_1(sK15) = sK99(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| ~ spl151_67 ),
inference(forward_subsumption_resolution,[],[f29692,f17063]) ).
fof(f29721,plain,
( k2_group_3(sK15,sK16,sK99(sK15)) = k1_group_1(sK15,k3_group_1(sK15,sK99(sK15)),sK16)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| ~ spl151_67 ),
inference(forward_subsumption_resolution,[],[f29699,f17063]) ).
fof(f29734,plain,
( k2_group_1(sK15) = sK99(sK15)
| spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| ~ spl151_67 ),
inference(forward_subsumption_resolution,[],[f29714,f16097]) ).
fof(f29740,plain,
( k2_group_3(sK15,sK16,sK99(sK15)) = k1_group_1(sK15,k3_group_1(sK15,sK99(sK15)),sK16)
| spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| ~ spl151_67 ),
inference(forward_subsumption_resolution,[],[f29721,f16097]) ).
fof(f29750,plain,
( k2_group_3(sK15,sK16,k2_group_1(sK15)) = k1_group_1(sK15,k3_group_1(sK15,k2_group_1(sK15)),sK16)
| spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| ~ spl151_67 ),
inference(forward_demodulation,[],[f29740,f29734]) ).
fof(f29752,plain,
( k2_group_3(sK15,sK16,k2_group_1(sK15)) = k1_group_1(sK15,k2_group_1(sK15),sK16)
| spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| ~ spl151_67 ),
inference(forward_demodulation,[],[f29750,f15496]) ).
fof(f29754,plain,
( sK16 = k1_group_1(sK15,k2_group_1(sK15),sK16)
| spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| ~ spl151_67 ),
inference(forward_demodulation,[],[f29752,f16936]) ).
fof(f29756,definition,
( spl151_70
<=> k2_group_1(sK15) = sK99(sK15) ),
introduced(definition,[new_symbols(definition,[spl151_70])],[avatar_definition]) ).
fof(f29758,plain,
( k2_group_1(sK15) = sK99(sK15)
| ~ spl151_70 ),
inference(avatar_component_clause,[],[f29756]) ).
fof(f29759,plain,
( spl151_70
| spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| ~ spl151_67 ),
inference(avatar_split_clause,[],[f29734,f27827,f17061,f17045,f16105,f16095,f14569,f29756]) ).
fof(f29760,plain,
( sK16 = k1_group_1(sK15,sK16,k2_group_1(sK15))
| ~ spl151_67
| ~ spl151_70 ),
inference(superposition,[],[f27829,f29758]) ).
fof(f29762,plain,
( ! [X0] :
( k1_group_1(sK15,X0,k2_group_1(sK15)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ v3_group_1(sK15)
| v3_struct_0(sK15)
| ~ l1_group_1(sK15) )
| ~ spl151_70 ),
inference(superposition,[],[f14215,f29758]) ).
fof(f29764,plain,
( ! [X0] :
( k1_group_1(sK15,X0,k2_group_1(sK15)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ l1_group_1(sK15) )
| ~ spl151_9
| ~ spl151_70 ),
inference(forward_subsumption_resolution,[],[f29762,f17047]) ).
fof(f29766,plain,
( ! [X0] :
( k1_group_1(sK15,X0,k2_group_1(sK15)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK15))
| ~ l1_group_1(sK15) )
| spl151_3
| ~ spl151_9
| ~ spl151_70 ),
inference(forward_subsumption_resolution,[],[f29764,f14571]) ).
fof(f29768,plain,
( ! [X0] :
( k1_group_1(sK15,X0,k2_group_1(sK15)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK15)) )
| spl151_3
| ~ spl151_5
| ~ spl151_9
| ~ spl151_70 ),
inference(forward_subsumption_resolution,[],[f29766,f16097]) ).
fof(f30190,plain,
( k6_autgroup(sK15,sK16) != k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| k1_group_1(sK15,sK16,k3_group_1(sK15,k2_group_1(sK15))) != k1_group_1(sK15,k3_group_1(sK15,k2_group_1(sK15)),sK16)
| ~ m1_subset_1(sK16,u1_struct_0(sK15))
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_31 ),
inference(forward_subsumption_resolution,[],[f19854,f14223]) ).
fof(f30195,plain,
( ! [X0] :
( k6_autgroup(sK15,sK16) != k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| ~ m1_subset_1(X0,u1_struct_0(sK15)) )
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_30
| ~ spl151_41
| ~ spl151_46
| ~ spl151_70 ),
inference(forward_subsumption_resolution,[],[f22859,f29768]) ).
fof(f30215,plain,
( k6_autgroup(sK15,sK16) != k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| k1_group_1(sK15,sK16,k3_group_1(sK15,k2_group_1(sK15))) != k1_group_1(sK15,k3_group_1(sK15,k2_group_1(sK15)),sK16)
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl151_7
| spl151_31 ),
inference(forward_subsumption_resolution,[],[f30190,f16107]) ).
fof(f30219,plain,
( ! [X0] :
( k6_autgroup(sK15,sK16) != k6_autgroup(sK15,sK16)
| ~ m1_subset_1(X0,u1_struct_0(sK15)) )
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_30
| ~ spl151_41
| ~ spl151_46
| ~ spl151_67
| ~ spl151_70 ),
inference(forward_demodulation,[],[f30195,f29760]) ).
fof(f30220,plain,
( ! [X0] : ~ m1_subset_1(X0,u1_struct_0(sK15))
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_30
| ~ spl151_41
| ~ spl151_46
| ~ spl151_67
| ~ spl151_70 ),
inference(trivial_inequality_removal,[],[f30219]) ).
fof(f30234,plain,
( k6_autgroup(sK15,sK16) != k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| k1_group_1(sK15,sK16,k3_group_1(sK15,k2_group_1(sK15))) != k1_group_1(sK15,k3_group_1(sK15,k2_group_1(sK15)),sK16)
| ~ v3_group_1(sK15)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_7
| spl151_31 ),
inference(forward_subsumption_resolution,[],[f30215,f14571]) ).
fof(f30320,plain,
( $false
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| ~ spl151_30
| ~ spl151_41
| ~ spl151_46
| ~ spl151_67
| ~ spl151_70 ),
inference(backward_subsumption_resolution,[],[f16749,f30220]) ).
fof(f30332,plain,
( spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| ~ spl151_30
| ~ spl151_41
| ~ spl151_46
| ~ spl151_67
| ~ spl151_70 ),
inference(avatar_contradiction_clause,[],[f30320]) ).
fof(f30342,plain,
( k6_autgroup(sK15,sK16) != k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| k1_group_1(sK15,sK16,k3_group_1(sK15,k2_group_1(sK15))) != k1_group_1(sK15,k3_group_1(sK15,k2_group_1(sK15)),sK16)
| ~ v4_group_1(sK15)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_7
| ~ spl151_9
| spl151_31 ),
inference(forward_subsumption_resolution,[],[f30234,f17047]) ).
fof(f30370,plain,
( k6_autgroup(sK15,sK16) != k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| k1_group_1(sK15,sK16,k3_group_1(sK15,k2_group_1(sK15))) != k1_group_1(sK15,k3_group_1(sK15,k2_group_1(sK15)),sK16)
| ~ l1_group_1(sK15)
| spl151_3
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| spl151_31 ),
inference(forward_subsumption_resolution,[],[f30342,f17063]) ).
fof(f30386,plain,
( k6_autgroup(sK15,sK16) != k6_autgroup(sK15,k1_group_1(sK15,sK16,k2_group_1(sK15)))
| k1_group_1(sK15,sK16,k3_group_1(sK15,k2_group_1(sK15))) != k1_group_1(sK15,k3_group_1(sK15,k2_group_1(sK15)),sK16)
| spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| spl151_31 ),
inference(forward_subsumption_resolution,[],[f30370,f16097]) ).
fof(f30400,plain,
( k6_autgroup(sK15,sK16) != k6_autgroup(sK15,sK16)
| k1_group_1(sK15,sK16,k3_group_1(sK15,k2_group_1(sK15))) != k1_group_1(sK15,k3_group_1(sK15,k2_group_1(sK15)),sK16)
| spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| spl151_31
| ~ spl151_67
| ~ spl151_70 ),
inference(forward_demodulation,[],[f30386,f29760]) ).
fof(f30401,plain,
( k1_group_1(sK15,sK16,k3_group_1(sK15,k2_group_1(sK15))) != k1_group_1(sK15,k3_group_1(sK15,k2_group_1(sK15)),sK16)
| spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| spl151_31
| ~ spl151_67
| ~ spl151_70 ),
inference(trivial_inequality_removal,[],[f30400]) ).
fof(f30409,plain,
( k1_group_1(sK15,sK16,k2_group_1(sK15)) != k1_group_1(sK15,k2_group_1(sK15),sK16)
| spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| spl151_31
| ~ spl151_67
| ~ spl151_70 ),
inference(forward_demodulation,[],[f30401,f15496]) ).
fof(f30423,plain,
( sK16 != k1_group_1(sK15,sK16,k2_group_1(sK15))
| spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| spl151_31
| ~ spl151_67
| ~ spl151_70 ),
inference(forward_demodulation,[],[f30409,f29754]) ).
fof(f30429,plain,
( $false
| spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| spl151_31
| ~ spl151_67
| ~ spl151_70 ),
inference(forward_subsumption_resolution,[],[f30423,f29760]) ).
fof(f30430,plain,
( spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| spl151_31
| ~ spl151_67
| ~ spl151_70 ),
inference(avatar_contradiction_clause,[],[f30429]) ).
cnf(s1,plain,
( ~ spl151_1
| ~ spl151_2 ),
inference(sat_conversion,[],[f14470]) ).
cnf(s2,plain,
~ spl151_3,
inference(sat_conversion,[],[f14572]) ).
cnf(s4,plain,
spl151_5,
inference(sat_conversion,[],[f16098]) ).
cnf(s5,plain,
spl151_6,
inference(sat_conversion,[],[f16103]) ).
cnf(s6,plain,
spl151_7,
inference(sat_conversion,[],[f16108]) ).
cnf(s8,plain,
spl151_9,
inference(sat_conversion,[],[f17048]) ).
cnf(s11,plain,
spl151_12,
inference(sat_conversion,[],[f17064]) ).
cnf(s16,plain,
( spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| spl151_23 ),
inference(sat_conversion,[],[f18273]) ).
cnf(s17,plain,
( spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| spl151_24 ),
inference(sat_conversion,[],[f18420]) ).
cnf(s23,plain,
( spl151_1
| spl151_30 ),
inference(sat_conversion,[],[f19820]) ).
cnf(s25,plain,
( spl151_2
| spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_23
| ~ spl151_31 ),
inference(sat_conversion,[],[f19840]) ).
cnf(s35,plain,
( spl151_3
| spl151_41 ),
inference(sat_conversion,[],[f20857]) ).
cnf(s40,plain,
( spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_9
| ~ spl151_12
| ~ spl151_24
| spl151_46 ),
inference(sat_conversion,[],[f22743]) ).
cnf(s62,plain,
( spl151_3
| ~ spl151_5
| ~ spl151_7
| spl151_67 ),
inference(sat_conversion,[],[f27830]) ).
cnf(s65,plain,
( spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| ~ spl151_67
| spl151_70 ),
inference(sat_conversion,[],[f29759]) ).
cnf(s77,plain,
( spl151_3
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| ~ spl151_30
| ~ spl151_41
| ~ spl151_46
| ~ spl151_67
| ~ spl151_70 ),
inference(sat_conversion,[],[f30332]) ).
cnf(s87,plain,
( spl151_3
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_12
| spl151_31
| ~ spl151_67
| ~ spl151_70 ),
inference(sat_conversion,[],[f30430]) ).
cnf(s93,plain,
spl151_67,
inference(rat,[],[s62,s4,s6,s2]) ).
cnf(s110,plain,
spl151_41,
inference(rat,[],[s35,s2]) ).
cnf(s124,plain,
spl151_24,
inference(rat,[],[s17,s4,s6,s5,s2]) ).
cnf(s125,plain,
spl151_23,
inference(rat,[],[s16,s4,s6,s5,s2]) ).
cnf(s128,plain,
spl151_70,
inference(rat,[],[s65,s2,s4,s11,s8,s6,s93]) ).
cnf(s129,plain,
spl151_31,
inference(rat,[],[s87,s128,s2,s4,s11,s8,s6,s93]) ).
cnf(s134,plain,
spl151_46,
inference(rat,[],[s40,s2,s4,s11,s8,s5,s124]) ).
cnf(s136,plain,
spl151_2,
inference(rat,[],[s25,s129,s2,s11,s8,s5,s4,s125]) ).
cnf(s140,plain,
~ spl151_30,
inference(rat,[],[s77,s128,s93,s110,s2,s4,s11,s8,s6,s5,s134]) ).
cnf(s143,plain,
spl151_1,
inference(rat,[],[s23,s140]) ).
cnf(s149,plain,
$false,
inference(rat,[],[s1,s136,s143]) ).
fof(f30437,plain,
$false,
inference(avatar_sat_refutation,[],[s149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP631+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n003.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:17:58 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.45/4.58 % (294911)Detected formulas, will run a generic FOF schedule.
% 21.45/4.58 % (294959)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3697675563:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 21.45/4.58 % (294958)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=4176886453:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 21.45/4.58 % (294960)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1162282919:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 21.45/4.58 % (294957)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=3299830969:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 21.45/4.58 % (294956)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=1957298967:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 21.45/4.58 % (294959)Instruction limit reached!
% 21.45/4.58 % (294959)------------------------------
% 21.45/4.58 % (294959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.45/4.58 % (294959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.45/4.58 % (294959)CaDiCaL version: 2.1.3
% 21.45/4.58 % (294959)Termination reason: Instruction limit
% 21.45/4.58 % (294959)Termination phase: Saturation
% 21.45/4.58 % (294959)Time elapsed: 0.100 s
% 21.45/4.58 % (294959)Peak memory usage: 106 MB
% 21.45/4.58 % (294959)Instructions burned: 109 (million)
% 21.45/4.58 % (294961)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2749575009:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 21.45/4.58 % (294962)dis-21_1_sil=8000:lcm=predicate:random_seed=715245736:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 21.45/4.58 % (294962)Instruction limit reached!
% 21.45/4.58 % (294962)------------------------------
% 21.45/4.58 % (294962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.45/4.58 % (294962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.45/4.58 % (294962)CaDiCaL version: 2.1.3
% 21.45/4.58 % (294962)Termination reason: Instruction limit
% 21.45/4.58 % (294962)Termination phase: Preprocessing 1
% 21.45/4.58 % (294962)Time elapsed: 0.083 s
% 21.45/4.58 % (294962)Peak memory usage: 102 MB
% 21.45/4.58 % (294962)Instructions burned: 130 (million)
% 21.45/4.58 % (294961)Instruction limit reached!
% 21.45/4.58 % (294961)------------------------------
% 21.45/4.58 % (294961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.45/4.58 % (294961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.45/4.58 % (294961)CaDiCaL version: 2.1.3
% 21.45/4.58 % (294961)Termination reason: Instruction limit
% 21.45/4.58 % (294961)Termination phase: Property scanning
% 21.45/4.58 % (294961)Time elapsed: 0.114 s
% 21.45/4.58 % (294961)Peak memory usage: 101 MB
% 21.45/4.58 % (294961)Instructions burned: 140 (million)
% 21.45/4.58 % (294960)Instruction limit reached!
% 21.45/4.58 % (294960)------------------------------
% 21.45/4.58 % (294960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.45/4.58 % (294960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.45/4.58 % (294960)CaDiCaL version: 2.1.3
% 21.45/4.58 % (294960)Termination reason: Instruction limit
% 21.45/4.58 % (294960)Termination phase: Preprocessing 3
% 21.45/4.58 % (294960)Time elapsed: 0.139 s
% 21.45/4.58 % (294960)Peak memory usage: 105 MB
% 21.45/4.58 % (294960)Instructions burned: 120 (million)
% 21.45/4.58 % (294971)lrs+10_1_sil=8000:sp=occurrence:random_seed=116057430:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 21.45/4.58 % (294973)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2611961978:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/157Mi)
% 21.45/4.58 % (294976)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1234151868:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 21.45/4.58 % (294977)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=2334222594:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 21.45/4.58 % (294971)Instruction limit reached!
% 21.45/4.58 % (294971)------------------------------
% 23.46/5.37 % (294971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (294971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (294971)CaDiCaL version: 2.1.3
% 23.46/5.37 % (294971)Termination reason: Instruction limit
% 23.46/5.37 % (294971)Termination phase: Saturation
% 23.46/5.37 % (294971)Time elapsed: 0.179 s
% 23.46/5.37 % (294971)Peak memory usage: 110 MB
% 23.46/5.37 % (294971)Instructions burned: 286 (million)
% 23.46/5.37 % (294973)Instruction limit reached!
% 23.46/5.37 % (294973)------------------------------
% 23.46/5.37 % (294973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (294973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (294973)CaDiCaL version: 2.1.3
% 23.46/5.37 % (294973)Termination reason: Instruction limit
% 23.46/5.37 % (294973)Termination phase: Property scanning
% 23.46/5.37 % (294973)Time elapsed: 0.124 s
% 23.46/5.37 % (294973)Peak memory usage: 102 MB
% 23.46/5.37 % (294973)Instructions burned: 159 (million)
% 23.46/5.37 % (294977)Instruction limit reached!
% 23.46/5.37 % (294977)------------------------------
% 23.46/5.37 % (294977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (294977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (294977)CaDiCaL version: 2.1.3
% 23.46/5.37 % (294977)Termination reason: Instruction limit
% 23.46/5.37 % (294977)Termination phase: SInE selection
% 23.46/5.37 % (294977)Time elapsed: 0.218 s
% 23.46/5.37 % (294977)Peak memory usage: 102 MB
% 23.46/5.37 % (294977)Instructions burned: 248 (million)
% 23.46/5.37 % (294985)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=621611637:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 23.46/5.37 % (294976)Instruction limit reached!
% 23.46/5.37 % (294976)------------------------------
% 23.46/5.37 % (294976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (294976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (294976)CaDiCaL version: 2.1.3
% 23.46/5.37 % (294976)Termination reason: Instruction limit
% 23.46/5.37 % (294976)Termination phase: Saturation
% 23.46/5.37 % (294976)Time elapsed: 0.299 s
% 23.46/5.37 % (294976)Peak memory usage: 107 MB
% 23.46/5.37 % (294976)Instructions burned: 326 (million)
% 23.46/5.37 % (294987)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1280610318:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 23.46/5.37 % (294985)Instruction limit reached!
% 23.46/5.37 % (294985)------------------------------
% 23.46/5.37 % (294985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (294985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (294985)CaDiCaL version: 2.1.3
% 23.46/5.37 % (294985)Termination reason: Instruction limit
% 23.46/5.37 % (294985)Termination phase: Saturation
% 23.46/5.37 % (294985)Time elapsed: 0.165 s
% 23.46/5.37 % (294985)Peak memory usage: 109 MB
% 23.46/5.37 % (294985)Instructions burned: 294 (million)
% 23.46/5.37 % (294990)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=976023748:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 23.46/5.37 % (294991)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1962587957:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 23.46/5.37 % (294990)Instruction limit reached!
% 23.46/5.37 % (294990)------------------------------
% 23.46/5.37 % (294990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (294990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (294990)CaDiCaL version: 2.1.3
% 23.46/5.37 % (294990)Termination reason: Instruction limit
% 23.46/5.37 % (294990)Termination phase: Preprocessing 3
% 23.46/5.37 % (294990)Time elapsed: 0.142 s
% 23.46/5.37 % (294990)Peak memory usage: 105 MB
% 23.46/5.37 % (294990)Instructions burned: 113 (million)
% 23.46/5.37 % (294993)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2053263373:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 23.46/5.37 % (294991)Instruction limit reached!
% 23.46/5.37 % (294991)------------------------------
% 23.46/5.37 % (294991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (294991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (294991)CaDiCaL version: 2.1.3
% 23.46/5.37 % (294991)Termination reason: Instruction limit
% 23.46/5.37 % (294991)Termination phase: Preprocessing 2
% 23.46/5.37 % (294991)Time elapsed: 0.159 s
% 23.46/5.37 % (294991)Peak memory usage: 106 MB
% 23.46/5.37 % (294991)Instructions burned: 127 (million)
% 23.46/5.37 % (294993)Instruction limit reached!
% 23.46/5.37 % (294993)------------------------------
% 23.46/5.37 % (294993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (294993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (294993)CaDiCaL version: 2.1.3
% 23.46/5.37 % (294993)Termination reason: Instruction limit
% 23.46/5.37 % (294993)Termination phase: Property scanning
% 23.46/5.37 % (294993)Time elapsed: 0.085 s
% 23.46/5.37 % (294993)Peak memory usage: 101 MB
% 23.46/5.37 % (294993)Instructions burned: 114 (million)
% 23.46/5.37 % (294999)lrs+10_1_sil=8000:sp=occurrence:random_seed=1918883384:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2979 on theBenchmark for (2979ds/907Mi)
% 23.46/5.37 % (295003)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1803172051:i=437:sd=1:aac=none:ss=included_2979 on theBenchmark for (2979ds/437Mi)
% 23.46/5.37 % (295004)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2844918978:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 23.46/5.37 % (294999)Instruction limit reached!
% 23.46/5.37 % (294999)------------------------------
% 23.46/5.37 % (294999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (294999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (294999)CaDiCaL version: 2.1.3
% 23.46/5.37 % (294999)Termination reason: Instruction limit
% 23.46/5.37 % (294999)Termination phase: Saturation
% 23.46/5.37 % (294999)Time elapsed: 0.476 s
% 23.46/5.37 % (294999)Peak memory usage: 120 MB
% 23.46/5.37 % (294999)Instructions burned: 908 (million)
% 23.46/5.37 % (295003)Instruction limit reached!
% 23.46/5.37 % (295003)------------------------------
% 23.46/5.37 % (295003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (295003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (295003)CaDiCaL version: 2.1.3
% 23.46/5.37 % (295003)Termination reason: Instruction limit
% 23.46/5.37 % (295003)Termination phase: Saturation
% 23.46/5.37 % (295003)Time elapsed: 0.454 s
% 23.46/5.37 % (295003)Peak memory usage: 109 MB
% 23.46/5.37 % (295003)Instructions burned: 438 (million)
% 23.46/5.37 % (295011)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2313972179:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2972 on theBenchmark for (2972ds/134Mi)
% 23.46/5.37 % (295011)Instruction limit reached!
% 23.46/5.37 % (295011)------------------------------
% 23.46/5.37 % (295011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (295011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (295011)CaDiCaL version: 2.1.3
% 23.46/5.37 % (295011)Termination reason: Instruction limit
% 23.46/5.37 % (295011)Termination phase: Property scanning
% 23.46/5.37 % (295011)Time elapsed: 0.148 s
% 23.46/5.37 % (295011)Peak memory usage: 105 MB
% 23.46/5.37 % (295011)Instructions burned: 135 (million)
% 23.46/5.37 % (295012)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2803068928:st=8:i=592:sd=3:ep=RST:ss=axioms_2971 on theBenchmark for (2971ds/592Mi)
% 23.46/5.37 % (295017)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3906040810:st=3:i=13193:sd=3:ss=axioms_2969 on theBenchmark for (2969ds/13193Mi)
% 23.46/5.37 % (295012)Instruction limit reached!
% 23.46/5.37 % (295012)------------------------------
% 23.46/5.37 % (295012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (295012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (295012)CaDiCaL version: 2.1.3
% 23.46/5.37 % (295012)Termination reason: Instruction limit
% 23.46/5.37 % (295012)Termination phase: Property scanning
% 23.46/5.37 % (295012)Time elapsed: 0.358 s
% 23.46/5.37 % (295012)Peak memory usage: 123 MB
% 23.46/5.37 % (295012)Instructions burned: 593 (million)
% 23.46/5.37 % (295019)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=2980610921:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/125Mi)
% 23.46/5.37 % (295019)Instruction limit reached!
% 23.46/5.37 % (295019)------------------------------
% 23.46/5.37 % (295019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (295019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (295019)CaDiCaL version: 2.1.3
% 23.46/5.37 % (295019)Termination reason: Instruction limit
% 23.46/5.37 % (295019)Termination phase: Property scanning
% 23.46/5.37 % (295019)Time elapsed: 0.070 s
% 23.46/5.37 % (295019)Peak memory usage: 102 MB
% 23.46/5.37 % (295019)Instructions burned: 127 (million)
% 23.46/5.37 % (295021)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=394951623:i=134:gtgl=5:slsql=off:gtg=exists_sym_2962 on theBenchmark for (2962ds/134Mi)
% 23.46/5.37 % (294958)First to succeed.
% 23.46/5.37 % (294987)Instruction limit reached!
% 23.46/5.37 % (294987)------------------------------
% 23.46/5.37 % (294987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (294987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (294987)CaDiCaL version: 2.1.3
% 23.46/5.37 % (294987)Termination reason: Instruction limit
% 23.46/5.37 % (294987)Termination phase: Saturation
% 23.46/5.37 % (294987)Time elapsed: 2.283 s
% 23.46/5.37 % (294987)Peak memory usage: 226 MB
% 23.46/5.37 % (294987)Instructions burned: 2350 (million)
% 23.46/5.37 % (295021)Instruction limit reached!
% 23.46/5.37 % (295021)------------------------------
% 23.46/5.37 % (295021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (295021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (295021)CaDiCaL version: 2.1.3
% 23.46/5.37 % (295021)Termination reason: Instruction limit
% 23.46/5.37 % (295021)Termination phase: Property scanning
% 23.46/5.37 % (295021)Time elapsed: 0.062 s
% 23.46/5.37 % (295021)Peak memory usage: 101 MB
% 23.46/5.37 % (295021)Instructions burned: 137 (million)
% 23.46/5.37 % (294958)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-294911"
% 23.46/5.37 % (295024)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2768004490:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2959 on theBenchmark for (2959ds/431Mi)
% 23.46/5.37 % (295023)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=789787387:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2959 on theBenchmark for (2959ds/141Mi)
% 23.46/5.37 % (295024)Refutation not found, incomplete strategy
% 23.46/5.37 % (295024)------------------------------
% 23.46/5.37 % (295024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (295024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (295024)CaDiCaL version: 2.1.3
% 23.46/5.37 % (295024)Termination reason: Refutation not found, incomplete strategy
% 23.46/5.37 % (295024)Time elapsed: 0.053 s
% 23.46/5.37 % (295024)Peak memory usage: 106 MB
% 23.46/5.37 % (295024)Instructions burned: 76 (million)
% 23.46/5.37 % (295023)Instruction limit reached!
% 23.46/5.37 % (295023)------------------------------
% 23.46/5.37 % (295023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.46/5.37 % (295023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.46/5.37 % (295023)CaDiCaL version: 2.1.3
% 23.46/5.37 % (295023)Termination reason: Instruction limit
% 23.46/5.37 % (295023)Termination phase: Saturation
% 23.46/5.37 % (295023)Time elapsed: 0.124 s
% 23.46/5.37 % (295023)Peak memory usage: 105 MB
% 23.46/5.37 % (295023)Instructions burned: 143 (million)
% 23.46/5.37 % (294957)Also succeeded, but the first one will report.
% 23.46/5.37 % (294958)Refutation found. Thanks to Tanya!
% 23.46/5.37 % SZS status Theorem for theBenchmark
% 23.46/5.37 % SZS output start Proof for theBenchmark
% See solution above
% 27.83/5.64 % (294958)------------------------------
% 27.83/5.64 % (294958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.83/5.64 % (294958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.83/5.64 % (294958)CaDiCaL version: 2.1.3
% 27.83/5.64 % (294958)Termination reason: Refutation
% 27.83/5.64 % (294958)Time elapsed: 3.130 s
% 27.83/5.64 % (294958)Peak memory usage: 168 MB
% 27.83/5.64 % (294958)Instructions burned: 3453 (million)
% 27.83/5.64 % (294958)------------------------------
% 27.83/5.64 % (294958)------------------------------
% 27.83/5.64 % (294911)Success in time 4.496 s
% 27.83/5.64 % Vampire exiting
%------------------------------------------------------------------------------