%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT363+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:21 AM UTC 2026
% Result : Theorem 83.53s 16.41s
% Output : Refutation 106.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 28
% Syntax : Number of formulae : 349 ( 42 unt; 11 def)
% Number of atoms : 1611 ( 76 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 2263 (1001 ~;1066 |; 139 &)
% ( 21 <=>; 34 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 12 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-4 aty)
% Number of variables : 342 ( 0 sgn 326 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f540,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f1257,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1723,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
=> r1_tarski(k9_relat_1(X3,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_funct_2) ).
fof(f4952,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f5012,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_pre_topc) ).
fof(f5014,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f5021,axiom,
! [X0,X1,X2,X3] :
( ( l1_struct_0(X0)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
fof(f7117,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_t_0topsp(X2,X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X3,X0)
=> v3_pre_topc(k4_pre_topc(X0,X1,X2,X3),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_t_0topsp) ).
fof(f8309,axiom,
! [X0,X1,X2] :
( ( l1_struct_0(X0)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_yellow_2(X0,X1,X2) = k2_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_yellow_2) ).
fof(f9867,axiom,
! [X0,X1,X2] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X1)
& l1_pre_topc(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_relat_1(k8_waybel18(X0,X1,X2))
& v1_funct_1(k8_waybel18(X0,X1,X2))
& v1_funct_2(k8_waybel18(X0,X1,X2),u1_struct_0(X0),u1_struct_0(k7_waybel18(X0,X1,X2)))
& v2_funct_2(k8_waybel18(X0,X1,X2),u1_struct_0(X0),u1_struct_0(k7_waybel18(X0,X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_waybel18) ).
fof(f9892,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k7_waybel18(X0,X1,X2) = k3_pre_topc(X1,k1_yellow_2(X0,X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_waybel18) ).
fof(f9893,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> u1_struct_0(k7_waybel18(X0,X1,X2)) = k1_yellow_2(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_waybel18) ).
fof(f9894,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k8_waybel18(X0,X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_waybel18) ).
fof(f9915,axiom,
! [X0,X1,X2] :
( ( l1_struct_0(X0)
& l1_pre_topc(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> m1_pre_topc(k7_waybel18(X0,X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_waybel18) ).
fof(f9916,axiom,
! [X0,X1,X2] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X1)
& l1_pre_topc(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(k8_waybel18(X0,X1,X2))
& v1_funct_2(k8_waybel18(X0,X1,X2),u1_struct_0(X0),u1_struct_0(k7_waybel18(X0,X1,X2)))
& m2_relset_1(k8_waybel18(X0,X1,X2),u1_struct_0(X0),u1_struct_0(k7_waybel18(X0,X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_waybel18) ).
fof(f10371,axiom,
! [X0] :
( ( v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v2_waybel34(X2,X0,X1)
<=> ! [X3] :
( ( v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v3_pre_topc(k4_pre_topc(X0,X1,X2,X3),k3_pre_topc(X1,k1_yellow_2(X0,X1,X2)))
& m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X1,k1_yellow_2(X0,X1,X2))))) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_waybel34) ).
fof(f10372,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v2_waybel34(X2,X0,X1)
<=> v1_t_0topsp(k8_waybel18(X0,X1,X2),X0,k7_waybel18(X0,X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_waybel34) ).
fof(f10373,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v2_waybel34(X2,X0,X1)
<=> v1_t_0topsp(k8_waybel18(X0,X1,X2),X0,k7_waybel18(X0,X1,X2)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f10372]) ).
fof(f10578,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v2_waybel34(X2,X0,X1)
<=> ! [X3] :
( ( v3_pre_topc(k4_pre_topc(X0,X1,X2,X3),k3_pre_topc(X1,k1_yellow_2(X0,X1,X2)))
& m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X1,k1_yellow_2(X0,X1,X2))))) )
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) )
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f10371]) ).
fof(f10579,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v2_waybel34(X2,X0,X1)
<=> ! [X3] :
( ( v3_pre_topc(k4_pre_topc(X0,X1,X2,X3),k3_pre_topc(X1,k1_yellow_2(X0,X1,X2)))
& m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X1,k1_yellow_2(X0,X1,X2))))) )
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) )
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f10578]) ).
fof(f10580,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v2_waybel34(X2,X0,X1)
<~> v1_t_0topsp(k8_waybel18(X0,X1,X2),X0,k7_waybel18(X0,X1,X2)) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f10373]) ).
fof(f10581,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v2_waybel34(X2,X0,X1)
<~> v1_t_0topsp(k8_waybel18(X0,X1,X2),X0,k7_waybel18(X0,X1,X2)) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f10580]) ).
fof(f11211,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f5021]) ).
fof(f11212,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f11211]) ).
fof(f11283,plain,
! [X0,X1,X2] :
( k1_yellow_2(X0,X1,X2) = k2_relat_1(X2)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f8309]) ).
fof(f11284,plain,
! [X0,X1,X2] :
( k1_yellow_2(X0,X1,X2) = k2_relat_1(X2)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f11283]) ).
fof(f11297,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_t_0topsp(X2,X0,X1)
<=> ! [X3] :
( v3_pre_topc(k4_pre_topc(X0,X1,X2,X3),X1)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f7117]) ).
fof(f11298,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_t_0topsp(X2,X0,X1)
<=> ! [X3] :
( v3_pre_topc(k4_pre_topc(X0,X1,X2,X3),X1)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f11297]) ).
fof(f11299,plain,
! [X0,X1,X2] :
( m1_pre_topc(k7_waybel18(X0,X1,X2),X1)
| ~ l1_struct_0(X0)
| ~ l1_pre_topc(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f9915]) ).
fof(f11300,plain,
! [X0,X1,X2] :
( m1_pre_topc(k7_waybel18(X0,X1,X2),X1)
| ~ l1_struct_0(X0)
| ~ l1_pre_topc(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f11299]) ).
fof(f11301,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( u1_struct_0(k7_waybel18(X0,X1,X2)) = k1_yellow_2(X0,X1,X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_pre_topc(X1) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f9893]) ).
fof(f11302,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( u1_struct_0(k7_waybel18(X0,X1,X2)) = k1_yellow_2(X0,X1,X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_pre_topc(X1) )
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f11301]) ).
fof(f11303,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k7_waybel18(X0,X1,X2) = k3_pre_topc(X1,k1_yellow_2(X0,X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_pre_topc(X1) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f9892]) ).
fof(f11304,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k7_waybel18(X0,X1,X2) = k3_pre_topc(X1,k1_yellow_2(X0,X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_pre_topc(X1) )
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f11303]) ).
fof(f11307,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k8_waybel18(X0,X1,X2))
& v1_funct_2(k8_waybel18(X0,X1,X2),u1_struct_0(X0),u1_struct_0(k7_waybel18(X0,X1,X2)))
& m2_relset_1(k8_waybel18(X0,X1,X2),u1_struct_0(X0),u1_struct_0(k7_waybel18(X0,X1,X2))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f9916]) ).
fof(f11308,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k8_waybel18(X0,X1,X2))
& v1_funct_2(k8_waybel18(X0,X1,X2),u1_struct_0(X0),u1_struct_0(k7_waybel18(X0,X1,X2)))
& m2_relset_1(k8_waybel18(X0,X1,X2),u1_struct_0(X0),u1_struct_0(k7_waybel18(X0,X1,X2))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f11307]) ).
fof(f11315,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k8_waybel18(X0,X1,X2) = X2
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_pre_topc(X1) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f9894]) ).
fof(f11316,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k8_waybel18(X0,X1,X2) = X2
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_pre_topc(X1) )
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f11315]) ).
fof(f11317,plain,
! [X0,X1,X2] :
( ( v1_relat_1(k8_waybel18(X0,X1,X2))
& v1_funct_1(k8_waybel18(X0,X1,X2))
& v1_funct_2(k8_waybel18(X0,X1,X2),u1_struct_0(X0),u1_struct_0(k7_waybel18(X0,X1,X2)))
& v2_funct_2(k8_waybel18(X0,X1,X2),u1_struct_0(X0),u1_struct_0(k7_waybel18(X0,X1,X2))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f9867]) ).
fof(f11318,plain,
! [X0,X1,X2] :
( ( v1_relat_1(k8_waybel18(X0,X1,X2))
& v1_funct_1(k8_waybel18(X0,X1,X2))
& v1_funct_2(k8_waybel18(X0,X1,X2),u1_struct_0(X0),u1_struct_0(k7_waybel18(X0,X1,X2)))
& v2_funct_2(k8_waybel18(X0,X1,X2),u1_struct_0(X0),u1_struct_0(k7_waybel18(X0,X1,X2))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f11317]) ).
fof(f11732,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f5014]) ).
fof(f12552,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f5012]) ).
fof(f12594,plain,
! [X0,X1,X2,X3] :
( r1_tarski(k9_relat_1(X3,X2),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f1723]) ).
fof(f12595,plain,
! [X0,X1,X2,X3] :
( r1_tarski(k9_relat_1(X3,X2),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(flattening,[],[f12594]) ).
fof(f12788,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4952]) ).
fof(f18036,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v2_waybel34(X2,X0,X1)
| ? [X3] :
( ( ~ v3_pre_topc(k4_pre_topc(X0,X1,X2,X3),k3_pre_topc(X1,k1_yellow_2(X0,X1,X2)))
| ~ m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X1,k1_yellow_2(X0,X1,X2))))) )
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( ( v3_pre_topc(k4_pre_topc(X0,X1,X2,X3),k3_pre_topc(X1,k1_yellow_2(X0,X1,X2)))
& m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X1,k1_yellow_2(X0,X1,X2))))) )
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v2_waybel34(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) )
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f10579]) ).
fof(f18037,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v2_waybel34(X2,X0,X1)
| ? [X3] :
( ( ~ v3_pre_topc(k4_pre_topc(X0,X1,X2,X3),k3_pre_topc(X1,k1_yellow_2(X0,X1,X2)))
| ~ m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X1,k1_yellow_2(X0,X1,X2))))) )
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X4] :
( ( v3_pre_topc(k4_pre_topc(X0,X1,X2,X4),k3_pre_topc(X1,k1_yellow_2(X0,X1,X2)))
& m1_subset_1(k4_pre_topc(X0,X1,X2,X4),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X1,k1_yellow_2(X0,X1,X2))))) )
| ~ v3_pre_topc(X4,X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v2_waybel34(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) )
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f18036]) ).
fof(f18038,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v2_waybel34(X2,X0,X1)
| ( ( ~ v3_pre_topc(k4_pre_topc(X0,X1,X2,sK157(X0,X1,X2)),k3_pre_topc(X1,k1_yellow_2(X0,X1,X2)))
| ~ m1_subset_1(k4_pre_topc(X0,X1,X2,sK157(X0,X1,X2)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X1,k1_yellow_2(X0,X1,X2))))) )
& v3_pre_topc(sK157(X0,X1,X2),X0)
& m1_subset_1(sK157(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X4] :
( ( v3_pre_topc(k4_pre_topc(X0,X1,X2,X4),k3_pre_topc(X1,k1_yellow_2(X0,X1,X2)))
& m1_subset_1(k4_pre_topc(X0,X1,X2,X4),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X1,k1_yellow_2(X0,X1,X2))))) )
| ~ v3_pre_topc(X4,X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v2_waybel34(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) )
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK157]),skolemize(X3,sK157(X0,X1,X2))],[f18037]) ).
fof(f18039,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ v1_t_0topsp(k8_waybel18(X0,X1,X2),X0,k7_waybel18(X0,X1,X2))
| ~ v2_waybel34(X2,X0,X1) )
& ( v1_t_0topsp(k8_waybel18(X0,X1,X2),X0,k7_waybel18(X0,X1,X2))
| v2_waybel34(X2,X0,X1) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f10581]) ).
fof(f18040,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ v1_t_0topsp(k8_waybel18(X0,X1,X2),X0,k7_waybel18(X0,X1,X2))
| ~ v2_waybel34(X2,X0,X1) )
& ( v1_t_0topsp(k8_waybel18(X0,X1,X2),X0,k7_waybel18(X0,X1,X2))
| v2_waybel34(X2,X0,X1) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f18039]) ).
fof(f18041,plain,
( ( ~ v1_t_0topsp(k8_waybel18(sK158,sK159,sK160),sK158,k7_waybel18(sK158,sK159,sK160))
| ~ v2_waybel34(sK160,sK158,sK159) )
& ( v1_t_0topsp(k8_waybel18(sK158,sK159,sK160),sK158,k7_waybel18(sK158,sK159,sK160))
| v2_waybel34(sK160,sK158,sK159) )
& v1_funct_1(sK160)
& v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
& m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
& ~ v3_struct_0(sK159)
& v2_pre_topc(sK159)
& l1_pre_topc(sK159)
& ~ v3_struct_0(sK158)
& v2_pre_topc(sK158)
& l1_pre_topc(sK158) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK158,sK159,sK160]),skolemize(X0,sK158),skolemize(X1,sK159),skolemize(X2,sK160)],[f18040]) ).
fof(f18044,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1257]) ).
fof(f18391,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_t_0topsp(X2,X0,X1)
| ? [X3] :
( ~ v3_pre_topc(k4_pre_topc(X0,X1,X2,X3),X1)
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( v3_pre_topc(k4_pre_topc(X0,X1,X2,X3),X1)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_t_0topsp(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f11298]) ).
fof(f18392,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_t_0topsp(X2,X0,X1)
| ? [X3] :
( ~ v3_pre_topc(k4_pre_topc(X0,X1,X2,X3),X1)
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X4] :
( v3_pre_topc(k4_pre_topc(X0,X1,X2,X4),X1)
| ~ v3_pre_topc(X4,X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_t_0topsp(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f18391]) ).
fof(f18393,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_t_0topsp(X2,X0,X1)
| ( ~ v3_pre_topc(k4_pre_topc(X0,X1,X2,sK401(X0,X1,X2)),X1)
& v3_pre_topc(sK401(X0,X1,X2),X0)
& m1_subset_1(sK401(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X4] :
( v3_pre_topc(k4_pre_topc(X0,X1,X2,X4),X1)
| ~ v3_pre_topc(X4,X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_t_0topsp(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK401]),skolemize(X3,sK401(X0,X1,X2))],[f18392]) ).
fof(f18395,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f540]) ).
fof(f21002,plain,
! [X2,X0,X1,X4] :
( ~ v3_pre_topc(X4,X0)
| v3_pre_topc(k4_pre_topc(X0,X1,X2,X4),k3_pre_topc(X1,k1_yellow_2(X0,X1,X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_waybel34(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f18038]) ).
fof(f21003,plain,
! [X2,X0,X1] :
( m1_subset_1(sK157(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v2_waybel34(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f18038]) ).
fof(f21004,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| v3_pre_topc(sK157(X0,X1,X2),X0)
| v2_waybel34(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f18038]) ).
fof(f21005,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v3_pre_topc(k4_pre_topc(X0,X1,X2,sK157(X0,X1,X2)),k3_pre_topc(X1,k1_yellow_2(X0,X1,X2)))
| ~ m1_subset_1(k4_pre_topc(X0,X1,X2,sK157(X0,X1,X2)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X1,k1_yellow_2(X0,X1,X2)))))
| v2_waybel34(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f18038]) ).
fof(f21006,plain,
l1_pre_topc(sK158),
inference(cnf_transformation,[],[f18041]) ).
fof(f21007,plain,
v2_pre_topc(sK158),
inference(cnf_transformation,[],[f18041]) ).
fof(f21009,plain,
l1_pre_topc(sK159),
inference(cnf_transformation,[],[f18041]) ).
fof(f21010,plain,
v2_pre_topc(sK159),
inference(cnf_transformation,[],[f18041]) ).
fof(f21011,plain,
~ v3_struct_0(sK159),
inference(cnf_transformation,[],[f18041]) ).
fof(f21012,plain,
m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)),
inference(cnf_transformation,[],[f18041]) ).
fof(f21013,plain,
v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159)),
inference(cnf_transformation,[],[f18041]) ).
fof(f21014,plain,
v1_funct_1(sK160),
inference(cnf_transformation,[],[f18041]) ).
fof(f21015,plain,
( v1_t_0topsp(k8_waybel18(sK158,sK159,sK160),sK158,k7_waybel18(sK158,sK159,sK160))
| v2_waybel34(sK160,sK158,sK159) ),
inference(cnf_transformation,[],[f18041]) ).
fof(f21016,plain,
( ~ v1_t_0topsp(k8_waybel18(sK158,sK159,sK160),sK158,k7_waybel18(sK158,sK159,sK160))
| ~ v2_waybel34(sK160,sK158,sK159) ),
inference(cnf_transformation,[],[f18041]) ).
fof(f21024,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f18044]) ).
fof(f22543,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k9_relat_1(X2,X3) = k4_pre_topc(X0,X1,X2,X3)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11212]) ).
fof(f22629,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k2_relat_1(X2) = k1_yellow_2(X0,X1,X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11284]) ).
fof(f22637,plain,
! [X2,X0,X1,X4] :
( ~ v3_pre_topc(X4,X0)
| v3_pre_topc(k4_pre_topc(X0,X1,X2,X4),X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_t_0topsp(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f18393]) ).
fof(f22638,plain,
! [X2,X0,X1] :
( m1_subset_1(sK401(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v1_t_0topsp(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f18393]) ).
fof(f22639,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| v3_pre_topc(sK401(X0,X1,X2),X0)
| v1_t_0topsp(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f18393]) ).
fof(f22640,plain,
! [X2,X0,X1] :
( ~ v3_pre_topc(k4_pre_topc(X0,X1,X2,sK401(X0,X1,X2)),X1)
| v1_t_0topsp(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f18393]) ).
fof(f22641,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| ~ l1_pre_topc(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| m1_pre_topc(k7_waybel18(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f11300]) ).
fof(f22642,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| k1_yellow_2(X0,X1,X2) = u1_struct_0(k7_waybel18(X0,X1,X2)) ),
inference(cnf_transformation,[],[f11302]) ).
fof(f22643,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| k7_waybel18(X0,X1,X2) = k3_pre_topc(X1,k1_yellow_2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f11304]) ).
fof(f22645,plain,
! [X2,X0,X1] :
( m2_relset_1(k8_waybel18(X0,X1,X2),u1_struct_0(X0),u1_struct_0(k7_waybel18(X0,X1,X2)))
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11308]) ).
fof(f22655,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| k8_waybel18(X0,X1,X2) = X2 ),
inference(cnf_transformation,[],[f11316]) ).
fof(f22657,plain,
! [X2,X0,X1] :
( v1_funct_2(k8_waybel18(X0,X1,X2),u1_struct_0(X0),u1_struct_0(k7_waybel18(X0,X1,X2)))
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11318]) ).
fof(f22675,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f18395]) ).
fof(f23382,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f11732]) ).
fof(f24933,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f12552]) ).
fof(f25038,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X3)
| r1_tarski(k9_relat_1(X3,X2),X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f12595]) ).
fof(f25268,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f12788]) ).
fof(f39253,definition,
( spl1969_483
<=> v2_waybel34(sK160,sK158,sK159) ),
introduced(definition,[new_symbols(definition,[spl1969_483])],[avatar_definition]) ).
fof(f39254,plain,
( v2_waybel34(sK160,sK158,sK159)
| ~ spl1969_483 ),
inference(avatar_component_clause,[],[f39253]) ).
fof(f39256,definition,
( spl1969_484
<=> v1_t_0topsp(k8_waybel18(sK158,sK159,sK160),sK158,k7_waybel18(sK158,sK159,sK160)) ),
introduced(definition,[new_symbols(definition,[spl1969_484])],[avatar_definition]) ).
fof(f39257,plain,
( v1_t_0topsp(k8_waybel18(sK158,sK159,sK160),sK158,k7_waybel18(sK158,sK159,sK160))
| ~ spl1969_484 ),
inference(avatar_component_clause,[],[f39256]) ).
fof(f39258,plain,
( spl1969_483
| spl1969_484 ),
inference(avatar_split_clause,[],[f21015,f39256,f39253]) ).
fof(f39259,plain,
( ~ v2_waybel34(sK160,sK158,sK159)
| spl1969_483 ),
inference(avatar_component_clause,[],[f39253]) ).
fof(f39260,plain,
( ~ v1_t_0topsp(k8_waybel18(sK158,sK159,sK160),sK158,k7_waybel18(sK158,sK159,sK160))
| spl1969_484 ),
inference(avatar_component_clause,[],[f39256]) ).
fof(f39261,plain,
( ~ spl1969_483
| ~ spl1969_484 ),
inference(avatar_split_clause,[],[f21016,f39256,f39253]) ).
fof(f40360,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| v2_waybel34(sK160,X0,X1)
| ~ v1_funct_2(sK160,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(sK160,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_pre_topc(sK157(X0,X1,sK160),X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f21004,f21014]) ).
fof(f40361,plain,
l1_struct_0(sK159),
inference(resolution,[],[f23382,f21009]) ).
fof(f40362,plain,
l1_struct_0(sK158),
inference(resolution,[],[f23382,f21006]) ).
fof(f40369,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK158),u1_struct_0(X1))
| ~ m2_relset_1(X0,u1_struct_0(sK158),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| k7_waybel18(sK158,X1,X0) = k3_pre_topc(X1,k1_yellow_2(sK158,X1,X0)) ),
inference(resolution,[],[f40362,f22643]) ).
fof(f40371,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK158),u1_struct_0(X1))
| ~ m2_relset_1(X0,u1_struct_0(sK158),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| k8_waybel18(sK158,X1,X0) = X0 ),
inference(resolution,[],[f40362,f22655]) ).
fof(f40372,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK158),u1_struct_0(X1))
| ~ m2_relset_1(X0,u1_struct_0(sK158),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| k1_yellow_2(sK158,X1,X0) = u1_struct_0(k7_waybel18(sK158,X1,X0)) ),
inference(resolution,[],[f40362,f22642]) ).
fof(f40374,plain,
! [X0] :
( ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| sK160 = k8_waybel18(sK158,X0,sK160) ),
inference(resolution,[],[f40371,f21014]) ).
fof(f40375,plain,
( ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| v3_struct_0(sK159)
| ~ l1_pre_topc(sK159)
| sK160 = k8_waybel18(sK158,sK159,sK160) ),
inference(resolution,[],[f40374,f21013]) ).
fof(f40376,plain,
( v3_struct_0(sK159)
| ~ l1_pre_topc(sK159)
| sK160 = k8_waybel18(sK158,sK159,sK160) ),
inference(forward_subsumption_resolution,[],[f40375,f21012]) ).
fof(f40377,plain,
( ~ l1_pre_topc(sK159)
| sK160 = k8_waybel18(sK158,sK159,sK160) ),
inference(forward_subsumption_resolution,[],[f40376,f21011]) ).
fof(f40378,plain,
sK160 = k8_waybel18(sK158,sK159,sK160),
inference(forward_subsumption_resolution,[],[f40377,f21009]) ).
fof(f40379,plain,
( ~ v1_t_0topsp(sK160,sK158,k7_waybel18(sK158,sK159,sK160))
| spl1969_484 ),
inference(superposition,[],[f39260,f40378]) ).
fof(f40381,plain,
( m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ l1_struct_0(sK158)
| v3_struct_0(sK159)
| ~ l1_pre_topc(sK159)
| ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)) ),
inference(superposition,[],[f22645,f40378]) ).
fof(f40382,plain,
( v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ l1_struct_0(sK158)
| v3_struct_0(sK159)
| ~ l1_pre_topc(sK159)
| ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)) ),
inference(superposition,[],[f22657,f40378]) ).
fof(f40383,plain,
( v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| v3_struct_0(sK159)
| ~ l1_pre_topc(sK159)
| ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)) ),
inference(forward_subsumption_resolution,[],[f40382,f40362]) ).
fof(f40384,plain,
( m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| v3_struct_0(sK159)
| ~ l1_pre_topc(sK159)
| ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)) ),
inference(forward_subsumption_resolution,[],[f40381,f40362]) ).
fof(f40386,plain,
( v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ l1_pre_topc(sK159)
| ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)) ),
inference(forward_subsumption_resolution,[],[f40383,f21011]) ).
fof(f40387,plain,
( m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ l1_pre_topc(sK159)
| ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)) ),
inference(forward_subsumption_resolution,[],[f40384,f21011]) ).
fof(f40389,plain,
( v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)) ),
inference(forward_subsumption_resolution,[],[f40386,f21009]) ).
fof(f40390,plain,
( m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)) ),
inference(forward_subsumption_resolution,[],[f40387,f21009]) ).
fof(f40392,plain,
( v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)) ),
inference(forward_subsumption_resolution,[],[f40389,f21014]) ).
fof(f40393,plain,
( m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)) ),
inference(forward_subsumption_resolution,[],[f40390,f21014]) ).
fof(f40395,plain,
( v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)) ),
inference(forward_subsumption_resolution,[],[f40392,f21013]) ).
fof(f40396,plain,
( m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)) ),
inference(forward_subsumption_resolution,[],[f40393,f21013]) ).
fof(f40399,definition,
( spl1969_492
<=> m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)) ),
introduced(definition,[new_symbols(definition,[spl1969_492])],[avatar_definition]) ).
fof(f40400,plain,
( ~ m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| spl1969_492 ),
inference(avatar_component_clause,[],[f40399]) ).
fof(f40402,definition,
( spl1969_493
<=> v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160))) ),
introduced(definition,[new_symbols(definition,[spl1969_493])],[avatar_definition]) ).
fof(f40403,plain,
( v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ spl1969_493 ),
inference(avatar_component_clause,[],[f40402]) ).
fof(f40404,plain,
( ~ spl1969_492
| spl1969_493 ),
inference(avatar_split_clause,[],[f40395,f40402,f40399]) ).
fof(f40406,definition,
( spl1969_494
<=> m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160))) ),
introduced(definition,[new_symbols(definition,[spl1969_494])],[avatar_definition]) ).
fof(f40407,plain,
( m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ spl1969_494 ),
inference(avatar_component_clause,[],[f40406]) ).
fof(f40408,plain,
( ~ spl1969_492
| spl1969_494 ),
inference(avatar_split_clause,[],[f40396,f40406,f40399]) ).
fof(f40414,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| k7_waybel18(sK158,X0,sK160) = k3_pre_topc(X0,k1_yellow_2(sK158,X0,sK160)) ),
inference(resolution,[],[f40369,f21014]) ).
fof(f40416,plain,
m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159)),
inference(resolution,[],[f21024,f21012]) ).
fof(f40419,plain,
( $false
| spl1969_492 ),
inference(forward_subsumption_resolution,[],[f40416,f40400]) ).
fof(f40420,plain,
spl1969_492,
inference(avatar_contradiction_clause,[],[f40419]) ).
fof(f40433,plain,
( m1_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ spl1969_494 ),
inference(resolution,[],[f40407,f21024]) ).
fof(f40436,plain,
( ~ l1_struct_0(sK158)
| ~ l1_pre_topc(sK159)
| ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| m1_pre_topc(k7_waybel18(sK158,sK159,sK160),sK159) ),
inference(resolution,[],[f40416,f22641]) ).
fof(f40437,plain,
( ~ l1_pre_topc(sK159)
| ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| m1_pre_topc(k7_waybel18(sK158,sK159,sK160),sK159) ),
inference(forward_subsumption_resolution,[],[f40436,f40362]) ).
fof(f40440,plain,
( ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| m1_pre_topc(k7_waybel18(sK158,sK159,sK160),sK159) ),
inference(forward_subsumption_resolution,[],[f40437,f21009]) ).
fof(f40443,plain,
( ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| m1_pre_topc(k7_waybel18(sK158,sK159,sK160),sK159) ),
inference(forward_subsumption_resolution,[],[f40440,f21014]) ).
fof(f40446,plain,
m1_pre_topc(k7_waybel18(sK158,sK159,sK160),sK159),
inference(forward_subsumption_resolution,[],[f40443,f21013]) ).
fof(f40462,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| v1_t_0topsp(sK160,X0,X1)
| ~ v1_funct_2(sK160,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(sK160,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| v3_pre_topc(sK401(X0,X1,sK160),X0) ),
inference(resolution,[],[f22639,f21014]) ).
fof(f40465,plain,
u1_struct_0(sK159) = k2_pre_topc(sK159),
inference(resolution,[],[f25268,f40361]) ).
fof(f40466,plain,
u1_struct_0(sK158) = k2_pre_topc(sK158),
inference(resolution,[],[f25268,f40362]) ).
fof(f40467,plain,
m2_relset_1(sK160,u1_struct_0(sK158),k2_pre_topc(sK159)),
inference(superposition,[],[f21012,f40465]) ).
fof(f40468,plain,
v1_funct_2(sK160,u1_struct_0(sK158),k2_pre_topc(sK159)),
inference(superposition,[],[f21013,f40465]) ).
fof(f40472,plain,
m1_relset_1(sK160,u1_struct_0(sK158),k2_pre_topc(sK159)),
inference(superposition,[],[f40416,f40465]) ).
fof(f40503,plain,
m1_relset_1(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159)),
inference(forward_demodulation,[],[f40472,f40466]) ).
fof(f40504,plain,
v1_funct_2(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159)),
inference(forward_demodulation,[],[f40468,f40466]) ).
fof(f40505,plain,
m2_relset_1(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159)),
inference(forward_demodulation,[],[f40467,f40466]) ).
fof(f40538,plain,
( v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ spl1969_493 ),
inference(superposition,[],[f40403,f40466]) ).
fof(f40539,plain,
( m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ spl1969_494 ),
inference(superposition,[],[f40407,f40466]) ).
fof(f40543,plain,
! [X0,X1] :
( m1_subset_1(sK157(sK158,X0,X1),k1_zfmisc_1(k2_pre_topc(sK158)))
| v2_waybel34(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ m2_relset_1(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(sK158)
| ~ l1_pre_topc(sK158) ),
inference(superposition,[],[f21003,f40466]) ).
fof(f40544,plain,
! [X0,X1] :
( m1_subset_1(sK401(sK158,X0,X1),k1_zfmisc_1(k2_pre_topc(sK158)))
| v1_t_0topsp(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ m2_relset_1(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK158) ),
inference(superposition,[],[f22638,f40466]) ).
fof(f40572,plain,
! [X0,X1] :
( m1_subset_1(sK401(sK158,X0,X1),k1_zfmisc_1(k2_pre_topc(sK158)))
| v1_t_0topsp(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ m2_relset_1(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f40544,f21006]) ).
fof(f40573,plain,
! [X0,X1] :
( m1_subset_1(sK157(sK158,X0,X1),k1_zfmisc_1(k2_pre_topc(sK158)))
| v2_waybel34(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ m2_relset_1(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK158) ),
inference(forward_subsumption_resolution,[],[f40543,f21007]) ).
fof(f40584,plain,
! [X0,X1] :
( m1_subset_1(sK157(sK158,X0,X1),k1_zfmisc_1(k2_pre_topc(sK158)))
| v2_waybel34(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ m2_relset_1(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f40573,f21006]) ).
fof(f40619,plain,
! [X0] :
( ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| k1_yellow_2(sK158,X0,sK160) = u1_struct_0(k7_waybel18(sK158,X0,sK160)) ),
inference(resolution,[],[f40372,f21014]) ).
fof(f40620,plain,
! [X0] :
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| k1_yellow_2(sK158,X0,sK160) = u1_struct_0(k7_waybel18(sK158,X0,sK160)) ),
inference(forward_demodulation,[],[f40619,f40466]) ).
fof(f40621,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(X0))
| k1_yellow_2(sK158,X0,sK160) = u1_struct_0(k7_waybel18(sK158,X0,sK160)) ),
inference(forward_demodulation,[],[f40620,f40466]) ).
fof(f40623,plain,
! [X0] :
( v1_t_0topsp(sK160,sK158,X0)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v3_pre_topc(sK401(sK158,X0,sK160),sK158) ),
inference(resolution,[],[f40462,f21006]) ).
fof(f40624,plain,
! [X0] :
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(X0))
| v1_t_0topsp(sK160,sK158,X0)
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v3_pre_topc(sK401(sK158,X0,sK160),sK158) ),
inference(forward_demodulation,[],[f40623,f40466]) ).
fof(f40626,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(X0))
| v1_t_0topsp(sK160,sK158,X0)
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(X0))
| v3_pre_topc(sK401(sK158,X0,sK160),sK158) ),
inference(forward_demodulation,[],[f40624,f40466]) ).
fof(f40635,plain,
( ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| k7_waybel18(sK158,sK159,sK160) = k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)) ),
inference(resolution,[],[f40414,f21009]) ).
fof(f40638,plain,
( ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| k7_waybel18(sK158,sK159,sK160) = k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)) ),
inference(forward_subsumption_resolution,[],[f40635,f21012]) ).
fof(f40639,plain,
k7_waybel18(sK158,sK159,sK160) = k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)),
inference(forward_subsumption_resolution,[],[f40638,f21013]) ).
fof(f40641,plain,
! [X0] :
( v2_waybel34(sK160,sK158,X0)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_pre_topc(sK157(sK158,X0,sK160),sK158)
| ~ l1_pre_topc(sK158) ),
inference(resolution,[],[f40360,f21007]) ).
fof(f40642,plain,
! [X0] :
( v2_waybel34(sK160,sK158,X0)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_pre_topc(sK157(sK158,X0,sK160),sK158) ),
inference(forward_subsumption_resolution,[],[f40641,f21006]) ).
fof(f40644,plain,
! [X0] :
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(X0))
| v2_waybel34(sK160,sK158,X0)
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_pre_topc(sK157(sK158,X0,sK160),sK158) ),
inference(forward_demodulation,[],[f40642,f40466]) ).
fof(f40646,plain,
! [X0] :
( ~ v2_pre_topc(X0)
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(X0))
| v2_waybel34(sK160,sK158,X0)
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v3_pre_topc(sK157(sK158,X0,sK160),sK158) ),
inference(forward_demodulation,[],[f40644,f40466]) ).
fof(f40648,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| v2_waybel34(sK160,sK158,sK159)
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ l1_pre_topc(sK159)
| v3_pre_topc(sK157(sK158,sK159,sK160),sK158) ),
inference(resolution,[],[f40646,f21010]) ).
fof(f40655,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| u1_struct_0(k7_waybel18(sK158,sK159,sK160)) = k1_yellow_2(sK158,sK159,sK160) ),
inference(resolution,[],[f40621,f21009]) ).
fof(f40658,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| u1_struct_0(k7_waybel18(sK158,sK159,sK160)) = k1_yellow_2(sK158,sK159,sK160) ),
inference(forward_demodulation,[],[f40655,f40465]) ).
fof(f40660,plain,
( ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| u1_struct_0(k7_waybel18(sK158,sK159,sK160)) = k1_yellow_2(sK158,sK159,sK160) ),
inference(forward_subsumption_resolution,[],[f40658,f40504]) ).
fof(f40661,plain,
( ~ m2_relset_1(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159))
| u1_struct_0(k7_waybel18(sK158,sK159,sK160)) = k1_yellow_2(sK158,sK159,sK160) ),
inference(forward_demodulation,[],[f40660,f40465]) ).
fof(f40662,plain,
u1_struct_0(k7_waybel18(sK158,sK159,sK160)) = k1_yellow_2(sK158,sK159,sK160),
inference(forward_subsumption_resolution,[],[f40661,f40505]) ).
fof(f40666,plain,
( m1_relset_1(sK160,u1_struct_0(sK158),k1_yellow_2(sK158,sK159,sK160))
| ~ spl1969_494 ),
inference(superposition,[],[f40433,f40662]) ).
fof(f40667,plain,
( v1_funct_2(sK160,k2_pre_topc(sK158),k1_yellow_2(sK158,sK159,sK160))
| ~ spl1969_493 ),
inference(superposition,[],[f40538,f40662]) ).
fof(f40668,plain,
( m2_relset_1(sK160,k2_pre_topc(sK158),k1_yellow_2(sK158,sK159,sK160))
| ~ spl1969_494 ),
inference(superposition,[],[f40539,f40662]) ).
fof(f40721,plain,
( m1_relset_1(sK160,k2_pre_topc(sK158),k1_yellow_2(sK158,sK159,sK160))
| ~ spl1969_494 ),
inference(forward_demodulation,[],[f40666,f40466]) ).
fof(f40750,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| k9_relat_1(sK160,X2) = k4_pre_topc(X0,X1,sK160,X2)
| ~ v1_funct_2(sK160,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(sK160,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(resolution,[],[f22543,f21014]) ).
fof(f40751,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| k9_relat_1(sK160,X1) = k4_pre_topc(X0,sK159,sK160,X1)
| ~ v1_funct_2(sK160,u1_struct_0(X0),u1_struct_0(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(X0),u1_struct_0(sK159)) ),
inference(resolution,[],[f40750,f40361]) ).
fof(f40754,plain,
! [X0,X1] :
( ~ v1_funct_2(sK160,u1_struct_0(X0),k2_pre_topc(sK159))
| ~ l1_struct_0(X0)
| k9_relat_1(sK160,X1) = k4_pre_topc(X0,sK159,sK160,X1)
| ~ m1_relset_1(sK160,u1_struct_0(X0),u1_struct_0(sK159)) ),
inference(forward_demodulation,[],[f40751,f40465]) ).
fof(f40756,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ v1_funct_2(sK160,u1_struct_0(X0),k2_pre_topc(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(X0),k2_pre_topc(sK159))
| k9_relat_1(sK160,X1) = k4_pre_topc(X0,sK159,sK160,X1) ),
inference(forward_demodulation,[],[f40754,f40465]) ).
fof(f40758,plain,
! [X0] :
( ~ v1_funct_2(sK160,u1_struct_0(sK158),k2_pre_topc(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),k2_pre_topc(sK159))
| k4_pre_topc(sK158,sK159,sK160,X0) = k9_relat_1(sK160,X0) ),
inference(resolution,[],[f40756,f40362]) ).
fof(f40759,plain,
! [X0] :
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),k2_pre_topc(sK159))
| k4_pre_topc(sK158,sK159,sK160,X0) = k9_relat_1(sK160,X0) ),
inference(forward_demodulation,[],[f40758,f40466]) ).
fof(f40761,plain,
! [X0] :
( ~ m1_relset_1(sK160,u1_struct_0(sK158),k2_pre_topc(sK159))
| k4_pre_topc(sK158,sK159,sK160,X0) = k9_relat_1(sK160,X0) ),
inference(forward_subsumption_resolution,[],[f40759,f40504]) ).
fof(f40763,plain,
! [X0] :
( ~ m1_relset_1(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159))
| k4_pre_topc(sK158,sK159,sK160,X0) = k9_relat_1(sK160,X0) ),
inference(forward_demodulation,[],[f40761,f40466]) ).
fof(f40771,plain,
! [X0] : k4_pre_topc(sK158,sK159,sK160,X0) = k9_relat_1(sK160,X0),
inference(forward_subsumption_resolution,[],[f40763,f40503]) ).
fof(f40851,plain,
! [X0,X1] :
( ~ v3_pre_topc(k4_pre_topc(X0,X1,sK160,sK157(X0,X1,sK160)),k3_pre_topc(X1,k1_yellow_2(X0,X1,sK160)))
| ~ m1_subset_1(k4_pre_topc(X0,X1,sK160,sK157(X0,X1,sK160)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X1,k1_yellow_2(X0,X1,sK160)))))
| v2_waybel34(sK160,X0,X1)
| ~ v1_funct_2(sK160,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(sK160,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f21005,f21014]) ).
fof(f40938,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(sK160,X2,X1)
| r1_tarski(k9_relat_1(sK160,X0),X1)
| ~ m2_relset_1(sK160,X2,X1) ),
inference(resolution,[],[f25038,f21014]) ).
fof(f40943,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sK160,X0),k1_yellow_2(sK158,sK159,sK160))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),k1_yellow_2(sK158,sK159,sK160)) )
| ~ spl1969_493 ),
inference(resolution,[],[f40938,f40667]) ).
fof(f40944,plain,
( ! [X0] : r1_tarski(k9_relat_1(sK160,X0),k1_yellow_2(sK158,sK159,sK160))
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_subsumption_resolution,[],[f40943,f40668]) ).
fof(f41208,plain,
( l1_pre_topc(k7_waybel18(sK158,sK159,sK160))
| ~ l1_pre_topc(sK159) ),
inference(resolution,[],[f24933,f40446]) ).
fof(f41258,plain,
l1_pre_topc(k7_waybel18(sK158,sK159,sK160)),
inference(forward_subsumption_resolution,[],[f41208,f21009]) ).
fof(f41356,plain,
l1_struct_0(k7_waybel18(sK158,sK159,sK160)),
inference(resolution,[],[f41258,f23382]) ).
fof(f41364,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| v1_t_0topsp(sK160,sK158,k7_waybel18(sK158,sK159,sK160))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| v3_pre_topc(sK401(sK158,k7_waybel18(sK158,sK159,sK160),sK160),sK158) ),
inference(resolution,[],[f41258,f40626]) ).
fof(f41374,plain,
( v1_t_0topsp(sK160,sK158,k7_waybel18(sK158,sK159,sK160))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| v3_pre_topc(sK401(sK158,k7_waybel18(sK158,sK159,sK160),sK160),sK158)
| ~ spl1969_493 ),
inference(forward_subsumption_resolution,[],[f41364,f40538]) ).
fof(f41386,plain,
( ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| v3_pre_topc(sK401(sK158,k7_waybel18(sK158,sK159,sK160),sK160),sK158)
| spl1969_484
| ~ spl1969_493 ),
inference(forward_subsumption_resolution,[],[f41374,f40379]) ).
fof(f41395,plain,
( v3_pre_topc(sK401(sK158,k7_waybel18(sK158,sK159,sK160),sK160),sK158)
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_subsumption_resolution,[],[f41386,f40539]) ).
fof(f41415,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| k9_relat_1(sK160,X1) = k4_pre_topc(X0,k7_waybel18(sK158,sK159,sK160),sK160,X1)
| ~ v1_funct_2(sK160,u1_struct_0(X0),u1_struct_0(k7_waybel18(sK158,sK159,sK160)))
| ~ m1_relset_1(sK160,u1_struct_0(X0),u1_struct_0(k7_waybel18(sK158,sK159,sK160))) ),
inference(resolution,[],[f41356,f40750]) ).
fof(f41430,plain,
! [X0,X1] :
( ~ v1_funct_2(sK160,u1_struct_0(X0),k1_yellow_2(sK158,sK159,sK160))
| ~ l1_struct_0(X0)
| k9_relat_1(sK160,X1) = k4_pre_topc(X0,k7_waybel18(sK158,sK159,sK160),sK160,X1)
| ~ m1_relset_1(sK160,u1_struct_0(X0),u1_struct_0(k7_waybel18(sK158,sK159,sK160))) ),
inference(forward_demodulation,[],[f41415,f40662]) ).
fof(f41446,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ v1_funct_2(sK160,u1_struct_0(X0),k1_yellow_2(sK158,sK159,sK160))
| ~ m1_relset_1(sK160,u1_struct_0(X0),k1_yellow_2(sK158,sK159,sK160))
| k9_relat_1(sK160,X1) = k4_pre_topc(X0,k7_waybel18(sK158,sK159,sK160),sK160,X1) ),
inference(forward_demodulation,[],[f41430,f40662]) ).
fof(f42355,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))
| ~ m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))))
| v2_waybel34(sK160,sK158,sK159)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ v2_pre_topc(sK159)
| ~ l1_pre_topc(sK159)
| ~ v2_pre_topc(sK158)
| ~ l1_pre_topc(sK158) ),
inference(superposition,[],[f40851,f40771]) ).
fof(f47636,plain,
! [X0,X1] :
( ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| k1_yellow_2(X0,X1,sK160) = k2_relat_1(sK160)
| ~ v1_funct_2(sK160,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(sK160,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(resolution,[],[f22629,f21014]) ).
fof(f47650,plain,
! [X0] :
( ~ l1_struct_0(X0)
| k2_relat_1(sK160) = k1_yellow_2(X0,sK159,sK160)
| ~ v1_funct_2(sK160,u1_struct_0(X0),u1_struct_0(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(X0),u1_struct_0(sK159)) ),
inference(resolution,[],[f47636,f40361]) ).
fof(f47651,plain,
! [X0] :
( ~ v1_funct_2(sK160,u1_struct_0(X0),k2_pre_topc(sK159))
| ~ l1_struct_0(X0)
| k2_relat_1(sK160) = k1_yellow_2(X0,sK159,sK160)
| ~ m1_relset_1(sK160,u1_struct_0(X0),u1_struct_0(sK159)) ),
inference(forward_demodulation,[],[f47650,f40465]) ).
fof(f47662,plain,
! [X0] :
( ~ v1_funct_2(sK160,u1_struct_0(X0),k2_pre_topc(sK159))
| ~ m1_relset_1(sK160,u1_struct_0(X0),k2_pre_topc(sK159))
| ~ l1_struct_0(X0)
| k2_relat_1(sK160) = k1_yellow_2(X0,sK159,sK160) ),
inference(forward_demodulation,[],[f47651,f40465]) ).
fof(f47680,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159))
| ~ m1_relset_1(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159))
| ~ l1_struct_0(sK158)
| k1_yellow_2(sK158,sK159,sK160) = k2_relat_1(sK160) ),
inference(superposition,[],[f47662,f40466]) ).
fof(f47682,plain,
( ~ m1_relset_1(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159))
| ~ l1_struct_0(sK158)
| k1_yellow_2(sK158,sK159,sK160) = k2_relat_1(sK160) ),
inference(forward_subsumption_resolution,[],[f47680,f40504]) ).
fof(f47683,plain,
( ~ l1_struct_0(sK158)
| k1_yellow_2(sK158,sK159,sK160) = k2_relat_1(sK160) ),
inference(forward_subsumption_resolution,[],[f47682,f40503]) ).
fof(f47684,plain,
k1_yellow_2(sK158,sK159,sK160) = k2_relat_1(sK160),
inference(forward_subsumption_resolution,[],[f47683,f40362]) ).
fof(f47685,plain,
k7_waybel18(sK158,sK159,sK160) = k3_pre_topc(sK159,k2_relat_1(sK160)),
inference(superposition,[],[f40639,f47684]) ).
fof(f47686,plain,
( v1_funct_2(sK160,k2_pre_topc(sK158),k2_relat_1(sK160))
| ~ spl1969_493 ),
inference(superposition,[],[f40667,f47684]) ).
fof(f47687,plain,
( m2_relset_1(sK160,k2_pre_topc(sK158),k2_relat_1(sK160))
| ~ spl1969_494 ),
inference(superposition,[],[f40668,f47684]) ).
fof(f47691,plain,
( m1_relset_1(sK160,k2_pre_topc(sK158),k2_relat_1(sK160))
| ~ spl1969_494 ),
inference(superposition,[],[f40721,f47684]) ).
fof(f47692,plain,
( ! [X0] : r1_tarski(k9_relat_1(sK160,X0),k2_relat_1(sK160))
| ~ spl1969_493
| ~ spl1969_494 ),
inference(superposition,[],[f40944,f47684]) ).
fof(f47738,plain,
( ~ v1_t_0topsp(sK160,sK158,k3_pre_topc(sK159,k2_relat_1(sK160)))
| spl1969_484 ),
inference(superposition,[],[f40379,f47685]) ).
fof(f47745,plain,
( v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ spl1969_493 ),
inference(superposition,[],[f40538,f47685]) ).
fof(f47746,plain,
( m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ spl1969_494 ),
inference(superposition,[],[f40539,f47685]) ).
fof(f47749,plain,
k1_yellow_2(sK158,sK159,sK160) = u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))),
inference(superposition,[],[f40662,f47685]) ).
fof(f47755,plain,
l1_pre_topc(k3_pre_topc(sK159,k2_relat_1(sK160))),
inference(superposition,[],[f41258,f47685]) ).
fof(f47764,plain,
( v3_pre_topc(sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160),sK158)
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(superposition,[],[f41395,f47685]) ).
fof(f47842,plain,
k2_relat_1(sK160) = u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))),
inference(forward_demodulation,[],[f47749,f47684]) ).
fof(f73406,definition,
( spl1969_4664
<=> m1_subset_1(sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160),k1_zfmisc_1(k2_pre_topc(sK158))) ),
introduced(definition,[new_symbols(definition,[spl1969_4664])],[avatar_definition]) ).
fof(f73407,plain,
( ~ m1_subset_1(sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160),k1_zfmisc_1(k2_pre_topc(sK158)))
| spl1969_4664 ),
inference(avatar_component_clause,[],[f73406]) ).
fof(f73483,plain,
( v1_t_0topsp(sK160,sK158,k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ l1_pre_topc(k3_pre_topc(sK159,k2_relat_1(sK160)))
| spl1969_4664 ),
inference(resolution,[],[f73407,f40572]) ).
fof(f73486,plain,
( ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ l1_pre_topc(k3_pre_topc(sK159,k2_relat_1(sK160)))
| spl1969_484
| spl1969_4664 ),
inference(forward_subsumption_resolution,[],[f73483,f47738]) ).
fof(f73487,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ l1_pre_topc(k3_pre_topc(sK159,k2_relat_1(sK160)))
| spl1969_484
| spl1969_4664 ),
inference(forward_subsumption_resolution,[],[f73486,f21014]) ).
fof(f73488,plain,
( ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ l1_pre_topc(k3_pre_topc(sK159,k2_relat_1(sK160)))
| spl1969_484
| ~ spl1969_493
| spl1969_4664 ),
inference(forward_subsumption_resolution,[],[f73487,f47745]) ).
fof(f73489,plain,
( ~ l1_pre_topc(k3_pre_topc(sK159,k2_relat_1(sK160)))
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| spl1969_4664 ),
inference(forward_subsumption_resolution,[],[f73488,f47746]) ).
fof(f73490,plain,
( $false
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| spl1969_4664 ),
inference(forward_subsumption_resolution,[],[f73489,f47755]) ).
fof(f73491,plain,
( spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| spl1969_4664 ),
inference(avatar_contradiction_clause,[],[f73490]) ).
fof(f73492,plain,
( v1_t_0topsp(k8_waybel18(sK158,sK159,sK160),sK158,k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ spl1969_484 ),
inference(forward_demodulation,[],[f39257,f47685]) ).
fof(f73496,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ l1_pre_topc(sK159)
| v3_pre_topc(sK157(sK158,sK159,sK160),sK158)
| spl1969_483 ),
inference(forward_subsumption_resolution,[],[f40648,f39259]) ).
fof(f73498,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))
| ~ m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))))
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ v2_pre_topc(sK159)
| ~ l1_pre_topc(sK159)
| ~ v2_pre_topc(sK158)
| ~ l1_pre_topc(sK158)
| spl1969_483 ),
inference(forward_subsumption_resolution,[],[f42355,f39259]) ).
fof(f73500,plain,
( v1_t_0topsp(sK160,sK158,k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ spl1969_484 ),
inference(forward_demodulation,[],[f73492,f40378]) ).
fof(f73504,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| v3_pre_topc(sK157(sK158,sK159,sK160),sK158)
| spl1969_483 ),
inference(forward_subsumption_resolution,[],[f73496,f21009]) ).
fof(f73506,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))
| ~ m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(sK159))
| ~ v2_pre_topc(sK159)
| ~ l1_pre_topc(sK159)
| ~ v2_pre_topc(sK158)
| ~ l1_pre_topc(sK158)
| spl1969_483 ),
inference(forward_subsumption_resolution,[],[f73498,f21013]) ).
fof(f73508,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| v3_pre_topc(sK157(sK158,sK159,sK160),sK158)
| spl1969_483 ),
inference(forward_demodulation,[],[f73504,f40465]) ).
fof(f73510,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))
| ~ m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))))
| ~ v2_pre_topc(sK159)
| ~ l1_pre_topc(sK159)
| ~ v2_pre_topc(sK158)
| ~ l1_pre_topc(sK158)
| spl1969_483 ),
inference(forward_subsumption_resolution,[],[f73506,f21012]) ).
fof(f73512,plain,
( ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| v3_pre_topc(sK157(sK158,sK159,sK160),sK158)
| spl1969_483 ),
inference(forward_subsumption_resolution,[],[f73508,f40504]) ).
fof(f73514,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))
| ~ m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))))
| ~ l1_pre_topc(sK159)
| ~ v2_pre_topc(sK158)
| ~ l1_pre_topc(sK158)
| spl1969_483 ),
inference(forward_subsumption_resolution,[],[f73510,f21010]) ).
fof(f73516,plain,
( ~ m2_relset_1(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159))
| v3_pre_topc(sK157(sK158,sK159,sK160),sK158)
| spl1969_483 ),
inference(forward_demodulation,[],[f73512,f40465]) ).
fof(f73518,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))
| ~ m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))))
| ~ v2_pre_topc(sK158)
| ~ l1_pre_topc(sK158)
| spl1969_483 ),
inference(forward_subsumption_resolution,[],[f73514,f21009]) ).
fof(f73520,plain,
( v3_pre_topc(sK157(sK158,sK159,sK160),sK158)
| spl1969_483 ),
inference(forward_subsumption_resolution,[],[f73516,f40505]) ).
fof(f73522,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))
| ~ m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))))
| ~ l1_pre_topc(sK158)
| spl1969_483 ),
inference(forward_subsumption_resolution,[],[f73518,f21007]) ).
fof(f73525,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))
| ~ m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))))
| spl1969_483 ),
inference(forward_subsumption_resolution,[],[f73522,f21006]) ).
fof(f73528,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k7_waybel18(sK158,sK159,sK160))
| ~ m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))))
| spl1969_483 ),
inference(forward_demodulation,[],[f73525,f40639]) ).
fof(f73531,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))))
| spl1969_483 ),
inference(forward_demodulation,[],[f73528,f47685]) ).
fof(f73534,plain,
( ~ m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(u1_struct_0(k7_waybel18(sK158,sK159,sK160))))
| ~ v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| spl1969_483 ),
inference(forward_demodulation,[],[f73531,f40639]) ).
fof(f73537,plain,
( ~ m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(k1_yellow_2(sK158,sK159,sK160)))
| ~ v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| spl1969_483 ),
inference(forward_demodulation,[],[f73534,f40662]) ).
fof(f73539,definition,
( spl1969_4672
<=> v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k2_relat_1(sK160))) ),
introduced(definition,[new_symbols(definition,[spl1969_4672])],[avatar_definition]) ).
fof(f73540,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| spl1969_4672 ),
inference(avatar_component_clause,[],[f73539]) ).
fof(f73542,definition,
( spl1969_4673
<=> m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(k2_relat_1(sK160))) ),
introduced(definition,[new_symbols(definition,[spl1969_4673])],[avatar_definition]) ).
fof(f73543,plain,
( ~ m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(k2_relat_1(sK160)))
| spl1969_4673 ),
inference(avatar_component_clause,[],[f73542]) ).
fof(f73546,plain,
( ~ m1_subset_1(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k1_zfmisc_1(k2_relat_1(sK160)))
| ~ v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| spl1969_483 ),
inference(forward_demodulation,[],[f73537,f47684]) ).
fof(f73548,plain,
( ~ spl1969_4672
| ~ spl1969_4673
| spl1969_483 ),
inference(avatar_split_clause,[],[f73546,f39253,f73542,f73539]) ).
fof(f73551,plain,
( ! [X0,X1] :
( v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK157(sK158,sK159,sK160)),X0)
| ~ m1_subset_1(sK157(sK158,sK159,sK160),k1_zfmisc_1(u1_struct_0(sK158)))
| ~ v1_t_0topsp(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK158) )
| spl1969_483 ),
inference(resolution,[],[f73520,f22637]) ).
fof(f73552,plain,
( ! [X0,X1] :
( v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK157(sK158,sK159,sK160)),X0)
| ~ m1_subset_1(sK157(sK158,sK159,sK160),k1_zfmisc_1(u1_struct_0(sK158)))
| ~ v1_t_0topsp(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| spl1969_483 ),
inference(forward_subsumption_resolution,[],[f73551,f21006]) ).
fof(f73553,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK157(sK158,sK159,sK160),k1_zfmisc_1(k2_pre_topc(sK158)))
| v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK157(sK158,sK159,sK160)),X0)
| ~ v1_t_0topsp(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| spl1969_483 ),
inference(forward_demodulation,[],[f73552,f40466]) ).
fof(f73554,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ m1_subset_1(sK157(sK158,sK159,sK160),k1_zfmisc_1(k2_pre_topc(sK158)))
| v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK157(sK158,sK159,sK160)),X0)
| ~ v1_t_0topsp(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| spl1969_483 ),
inference(forward_demodulation,[],[f73553,f40466]) ).
fof(f73555,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ m1_subset_1(sK157(sK158,sK159,sK160),k1_zfmisc_1(k2_pre_topc(sK158)))
| v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK157(sK158,sK159,sK160)),X0)
| ~ v1_t_0topsp(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ l1_pre_topc(X0) )
| spl1969_483 ),
inference(forward_demodulation,[],[f73554,f40466]) ).
fof(f73557,definition,
( spl1969_4674
<=> m1_subset_1(sK157(sK158,sK159,sK160),k1_zfmisc_1(k2_pre_topc(sK158))) ),
introduced(definition,[new_symbols(definition,[spl1969_4674])],[avatar_definition]) ).
fof(f73558,plain,
( ~ m1_subset_1(sK157(sK158,sK159,sK160),k1_zfmisc_1(k2_pre_topc(sK158)))
| spl1969_4674 ),
inference(avatar_component_clause,[],[f73557]) ).
fof(f73560,definition,
( spl1969_4675
<=> ! [X0,X1] :
( ~ m2_relset_1(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v1_funct_1(X1)
| ~ v1_t_0topsp(X1,sK158,X0)
| v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK157(sK158,sK159,sK160)),X0)
| ~ v1_funct_2(X1,k2_pre_topc(sK158),u1_struct_0(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl1969_4675])],[avatar_definition]) ).
fof(f73561,plain,
( ! [X0,X1] :
( ~ v1_t_0topsp(X1,sK158,X0)
| ~ l1_pre_topc(X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK157(sK158,sK159,sK160)),X0)
| ~ v1_funct_2(X1,k2_pre_topc(sK158),u1_struct_0(X0)) )
| ~ spl1969_4675 ),
inference(avatar_component_clause,[],[f73560]) ).
fof(f73562,plain,
( ~ spl1969_4674
| spl1969_4675
| spl1969_483 ),
inference(avatar_split_clause,[],[f73555,f39253,f73560,f73557]) ).
fof(f73563,plain,
( v2_waybel34(sK160,sK158,sK159)
| ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ v2_pre_topc(sK159)
| ~ l1_pre_topc(sK159)
| spl1969_4674 ),
inference(resolution,[],[f73558,f40584]) ).
fof(f73565,plain,
( ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ v2_pre_topc(sK159)
| ~ l1_pre_topc(sK159)
| spl1969_483
| spl1969_4674 ),
inference(forward_subsumption_resolution,[],[f73563,f39259]) ).
fof(f73566,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ v2_pre_topc(sK159)
| ~ l1_pre_topc(sK159)
| spl1969_483
| spl1969_4674 ),
inference(forward_subsumption_resolution,[],[f73565,f21014]) ).
fof(f73567,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ l1_pre_topc(sK159)
| spl1969_483
| spl1969_4674 ),
inference(forward_subsumption_resolution,[],[f73566,f21010]) ).
fof(f73568,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| spl1969_483
| spl1969_4674 ),
inference(forward_subsumption_resolution,[],[f73567,f21009]) ).
fof(f73569,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159))
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| spl1969_483
| spl1969_4674 ),
inference(forward_demodulation,[],[f73568,f40465]) ).
fof(f73570,plain,
( ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| spl1969_483
| spl1969_4674 ),
inference(forward_subsumption_resolution,[],[f73569,f40504]) ).
fof(f73571,plain,
( ~ m2_relset_1(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159))
| spl1969_483
| spl1969_4674 ),
inference(forward_demodulation,[],[f73570,f40465]) ).
fof(f73572,plain,
( $false
| spl1969_483
| spl1969_4674 ),
inference(forward_subsumption_resolution,[],[f73571,f40505]) ).
fof(f73573,plain,
( spl1969_483
| spl1969_4674 ),
inference(avatar_contradiction_clause,[],[f73572]) ).
fof(f73607,plain,
( ! [X0,X1] :
( v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(X0,k1_yellow_2(sK158,X0,X1)))
| ~ m1_subset_1(sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160),k1_zfmisc_1(u1_struct_0(sK158)))
| ~ v2_waybel34(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(sK158)
| ~ l1_pre_topc(sK158) )
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(resolution,[],[f47764,f21002]) ).
fof(f73805,plain,
( ! [X0,X1] :
( v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(X0,k1_yellow_2(sK158,X0,X1)))
| ~ m1_subset_1(sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160),k1_zfmisc_1(u1_struct_0(sK158)))
| ~ v2_waybel34(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK158) )
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_subsumption_resolution,[],[f73607,f21007]) ).
fof(f73825,plain,
( ! [X0,X1] :
( v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(X0,k1_yellow_2(sK158,X0,X1)))
| ~ m1_subset_1(sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160),k1_zfmisc_1(u1_struct_0(sK158)))
| ~ v2_waybel34(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) )
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_subsumption_resolution,[],[f73805,f21006]) ).
fof(f73845,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160),k1_zfmisc_1(k2_pre_topc(sK158)))
| v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(X0,k1_yellow_2(sK158,X0,X1)))
| ~ v2_waybel34(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) )
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_demodulation,[],[f73825,f40466]) ).
fof(f73863,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ m1_subset_1(sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160),k1_zfmisc_1(k2_pre_topc(sK158)))
| v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(X0,k1_yellow_2(sK158,X0,X1)))
| ~ v2_waybel34(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,u1_struct_0(sK158),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) )
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_demodulation,[],[f73845,f40466]) ).
fof(f73881,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ m1_subset_1(sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160),k1_zfmisc_1(k2_pre_topc(sK158)))
| v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(X0,k1_yellow_2(sK158,X0,X1)))
| ~ v2_waybel34(X1,sK158,X0)
| ~ v1_funct_1(X1)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) )
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_demodulation,[],[f73863,f40466]) ).
fof(f73896,definition,
( spl1969_4676
<=> ! [X0,X1] :
( ~ m2_relset_1(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_funct_1(X1)
| ~ v2_waybel34(X1,sK158,X0)
| v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(X0,k1_yellow_2(sK158,X0,X1)))
| ~ v1_funct_2(X1,k2_pre_topc(sK158),u1_struct_0(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl1969_4676])],[avatar_definition]) ).
fof(f73897,plain,
( ! [X0,X1] :
( ~ v2_waybel34(X1,sK158,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_pre_topc(sK158),u1_struct_0(X0))
| v3_pre_topc(k4_pre_topc(sK158,X0,X1,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(X0,k1_yellow_2(sK158,X0,X1)))
| ~ v1_funct_2(X1,k2_pre_topc(sK158),u1_struct_0(X0)) )
| ~ spl1969_4676 ),
inference(avatar_component_clause,[],[f73896]) ).
fof(f73898,plain,
( ~ spl1969_4664
| spl1969_4676
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(avatar_split_clause,[],[f73881,f40406,f40402,f39256,f73896,f73406]) ).
fof(f73993,plain,
( ~ l1_pre_topc(k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ v1_funct_1(sK160)
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| v3_pre_topc(k4_pre_topc(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ spl1969_484
| ~ spl1969_4675 ),
inference(resolution,[],[f73561,f73500]) ).
fof(f73995,plain,
( ~ v1_funct_1(sK160)
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| v3_pre_topc(k4_pre_topc(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ spl1969_484
| ~ spl1969_4675 ),
inference(forward_subsumption_resolution,[],[f73993,f47755]) ).
fof(f73998,plain,
( ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| v3_pre_topc(k4_pre_topc(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ spl1969_484
| ~ spl1969_4675 ),
inference(forward_subsumption_resolution,[],[f73995,f21014]) ).
fof(f74001,plain,
( v3_pre_topc(k4_pre_topc(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ spl1969_484
| ~ spl1969_494
| ~ spl1969_4675 ),
inference(forward_subsumption_resolution,[],[f73998,f47746]) ).
fof(f74004,plain,
( v3_pre_topc(k4_pre_topc(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| ~ spl1969_4675 ),
inference(forward_subsumption_resolution,[],[f74001,f47745]) ).
fof(f90020,plain,
! [X0] :
( ~ v1_funct_2(sK160,u1_struct_0(sK158),k1_yellow_2(sK158,sK159,sK160))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),k1_yellow_2(sK158,sK159,sK160))
| k9_relat_1(sK160,X0) = k4_pre_topc(sK158,k7_waybel18(sK158,sK159,sK160),sK160,X0) ),
inference(resolution,[],[f41446,f40362]) ).
fof(f90023,plain,
! [X0] :
( ~ v1_funct_2(sK160,u1_struct_0(sK158),k2_relat_1(sK160))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),k1_yellow_2(sK158,sK159,sK160))
| k9_relat_1(sK160,X0) = k4_pre_topc(sK158,k7_waybel18(sK158,sK159,sK160),sK160,X0) ),
inference(forward_demodulation,[],[f90020,f47684]) ).
fof(f90046,plain,
! [X0] :
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),k2_relat_1(sK160))
| ~ m1_relset_1(sK160,u1_struct_0(sK158),k1_yellow_2(sK158,sK159,sK160))
| k9_relat_1(sK160,X0) = k4_pre_topc(sK158,k7_waybel18(sK158,sK159,sK160),sK160,X0) ),
inference(forward_demodulation,[],[f90023,f40466]) ).
fof(f90068,plain,
( ! [X0] :
( ~ m1_relset_1(sK160,u1_struct_0(sK158),k1_yellow_2(sK158,sK159,sK160))
| k9_relat_1(sK160,X0) = k4_pre_topc(sK158,k7_waybel18(sK158,sK159,sK160),sK160,X0) )
| ~ spl1969_493 ),
inference(forward_subsumption_resolution,[],[f90046,f47686]) ).
fof(f90073,plain,
( ! [X0] :
( ~ m1_relset_1(sK160,u1_struct_0(sK158),k2_relat_1(sK160))
| k9_relat_1(sK160,X0) = k4_pre_topc(sK158,k7_waybel18(sK158,sK159,sK160),sK160,X0) )
| ~ spl1969_493 ),
inference(forward_demodulation,[],[f90068,f47684]) ).
fof(f90076,plain,
( ! [X0] :
( ~ m1_relset_1(sK160,k2_pre_topc(sK158),k2_relat_1(sK160))
| k9_relat_1(sK160,X0) = k4_pre_topc(sK158,k7_waybel18(sK158,sK159,sK160),sK160,X0) )
| ~ spl1969_493 ),
inference(forward_demodulation,[],[f90073,f40466]) ).
fof(f90079,plain,
( ! [X0] : k9_relat_1(sK160,X0) = k4_pre_topc(sK158,k7_waybel18(sK158,sK159,sK160),sK160,X0)
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_subsumption_resolution,[],[f90076,f47691]) ).
fof(f90081,plain,
( ! [X0] : k9_relat_1(sK160,X0) = k4_pre_topc(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160,X0)
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_demodulation,[],[f90079,f47685]) ).
fof(f90085,plain,
( v3_pre_topc(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| ~ spl1969_4675 ),
inference(superposition,[],[f74004,f90081]) ).
fof(f90089,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| v1_t_0topsp(sK160,sK158,k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ l1_pre_topc(k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ l1_pre_topc(sK158)
| ~ spl1969_493
| ~ spl1969_494 ),
inference(superposition,[],[f22640,f90081]) ).
fof(f90090,plain,
( $false
| ~ spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| spl1969_4672
| ~ spl1969_4675 ),
inference(forward_subsumption_resolution,[],[f90085,f73540]) ).
fof(f90091,plain,
( ~ spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| spl1969_4672
| ~ spl1969_4675 ),
inference(avatar_contradiction_clause,[],[f90090]) ).
fof(f90105,plain,
( ~ r1_tarski(k9_relat_1(sK160,sK157(sK158,sK159,sK160)),k2_relat_1(sK160))
| spl1969_4673 ),
inference(resolution,[],[f73543,f22675]) ).
fof(f90107,plain,
( $false
| ~ spl1969_493
| ~ spl1969_494
| spl1969_4673 ),
inference(forward_subsumption_resolution,[],[f90105,f47692]) ).
fof(f90108,plain,
( ~ spl1969_493
| ~ spl1969_494
| spl1969_4673 ),
inference(avatar_contradiction_clause,[],[f90107]) ).
fof(f90112,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ v1_funct_1(sK160)
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ l1_pre_topc(k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ l1_pre_topc(sK158)
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_subsumption_resolution,[],[f90089,f47738]) ).
fof(f90115,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ l1_pre_topc(k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ l1_pre_topc(sK158)
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_subsumption_resolution,[],[f90112,f21014]) ).
fof(f90116,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ l1_pre_topc(sK158)
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_subsumption_resolution,[],[f90115,f47755]) ).
fof(f90117,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ v1_funct_2(sK160,u1_struct_0(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_subsumption_resolution,[],[f90116,f21006]) ).
fof(f90118,plain,
( ~ v1_funct_2(sK160,u1_struct_0(sK158),k2_relat_1(sK160))
| ~ v3_pre_topc(k9_relat_1(sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_demodulation,[],[f90117,f47842]) ).
fof(f90119,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),k2_relat_1(sK160))
| ~ v3_pre_topc(k9_relat_1(sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_demodulation,[],[f90118,f40466]) ).
fof(f90120,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ m2_relset_1(sK160,u1_struct_0(sK158),u1_struct_0(k3_pre_topc(sK159,k2_relat_1(sK160))))
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_subsumption_resolution,[],[f90119,f47686]) ).
fof(f90121,plain,
( ~ m2_relset_1(sK160,u1_struct_0(sK158),k2_relat_1(sK160))
| ~ v3_pre_topc(k9_relat_1(sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_demodulation,[],[f90120,f47842]) ).
fof(f90122,plain,
( ~ m2_relset_1(sK160,k2_pre_topc(sK158),k2_relat_1(sK160))
| ~ v3_pre_topc(k9_relat_1(sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_demodulation,[],[f90121,f40466]) ).
fof(f90123,plain,
( ~ v3_pre_topc(k9_relat_1(sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494 ),
inference(forward_subsumption_resolution,[],[f90122,f47687]) ).
fof(f90286,plain,
( ~ l1_pre_topc(sK159)
| ~ v2_pre_topc(sK159)
| ~ v1_funct_1(sK160)
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| v3_pre_topc(k4_pre_topc(sK158,sK159,sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ spl1969_483
| ~ spl1969_4676 ),
inference(resolution,[],[f73897,f39254]) ).
fof(f90287,plain,
( ~ v2_pre_topc(sK159)
| ~ v1_funct_1(sK160)
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| v3_pre_topc(k4_pre_topc(sK158,sK159,sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ spl1969_483
| ~ spl1969_4676 ),
inference(forward_subsumption_resolution,[],[f90286,f21009]) ).
fof(f90291,plain,
( ~ v1_funct_1(sK160)
| ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| v3_pre_topc(k4_pre_topc(sK158,sK159,sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ spl1969_483
| ~ spl1969_4676 ),
inference(forward_subsumption_resolution,[],[f90287,f21010]) ).
fof(f90295,plain,
( ~ m2_relset_1(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| v3_pre_topc(k4_pre_topc(sK158,sK159,sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ spl1969_483
| ~ spl1969_4676 ),
inference(forward_subsumption_resolution,[],[f90291,f21014]) ).
fof(f90299,plain,
( ~ m2_relset_1(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159))
| v3_pre_topc(k4_pre_topc(sK158,sK159,sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ spl1969_483
| ~ spl1969_4676 ),
inference(forward_demodulation,[],[f90295,f40465]) ).
fof(f90303,plain,
( v3_pre_topc(k4_pre_topc(sK158,sK159,sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k1_yellow_2(sK158,sK159,sK160)))
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ spl1969_483
| ~ spl1969_4676 ),
inference(forward_subsumption_resolution,[],[f90299,f40505]) ).
fof(f90307,plain,
( v3_pre_topc(k4_pre_topc(sK158,sK159,sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k7_waybel18(sK158,sK159,sK160))
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ spl1969_483
| ~ spl1969_4676 ),
inference(forward_demodulation,[],[f90303,f40639]) ).
fof(f90311,plain,
( v3_pre_topc(k4_pre_topc(sK158,sK159,sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ spl1969_483
| ~ spl1969_4676 ),
inference(forward_demodulation,[],[f90307,f47685]) ).
fof(f90315,plain,
( v3_pre_topc(k9_relat_1(sK160,sK401(sK158,k3_pre_topc(sK159,k2_relat_1(sK160)),sK160)),k3_pre_topc(sK159,k2_relat_1(sK160)))
| ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ spl1969_483
| ~ spl1969_4676 ),
inference(forward_demodulation,[],[f90311,f40771]) ).
fof(f90317,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),u1_struct_0(sK159))
| ~ spl1969_483
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| ~ spl1969_4676 ),
inference(forward_subsumption_resolution,[],[f90315,f90123]) ).
fof(f90318,plain,
( ~ v1_funct_2(sK160,k2_pre_topc(sK158),k2_pre_topc(sK159))
| ~ spl1969_483
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| ~ spl1969_4676 ),
inference(forward_demodulation,[],[f90317,f40465]) ).
fof(f90319,plain,
( $false
| ~ spl1969_483
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| ~ spl1969_4676 ),
inference(forward_subsumption_resolution,[],[f90318,f40504]) ).
fof(f90320,plain,
( ~ spl1969_483
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| ~ spl1969_4676 ),
inference(avatar_contradiction_clause,[],[f90319]) ).
cnf(s409,plain,
( spl1969_483
| spl1969_484 ),
inference(sat_conversion,[],[f39258]) ).
cnf(s410,plain,
( ~ spl1969_483
| ~ spl1969_484 ),
inference(sat_conversion,[],[f39261]) ).
cnf(s428,plain,
( ~ spl1969_492
| spl1969_493 ),
inference(sat_conversion,[],[f40404]) ).
cnf(s429,plain,
( ~ spl1969_492
| spl1969_494 ),
inference(sat_conversion,[],[f40408]) ).
cnf(s432,plain,
spl1969_492,
inference(sat_conversion,[],[f40420]) ).
cnf(s3203,plain,
( spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| spl1969_4664 ),
inference(sat_conversion,[],[f73491]) ).
cnf(s3206,plain,
( spl1969_483
| ~ spl1969_4672
| ~ spl1969_4673 ),
inference(sat_conversion,[],[f73548]) ).
cnf(s3207,plain,
( spl1969_483
| ~ spl1969_4674
| spl1969_4675 ),
inference(sat_conversion,[],[f73562]) ).
cnf(s3208,plain,
( spl1969_483
| spl1969_4674 ),
inference(sat_conversion,[],[f73573]) ).
cnf(s3245,plain,
( spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| ~ spl1969_4664
| spl1969_4676 ),
inference(sat_conversion,[],[f73898]) ).
cnf(s4199,plain,
( ~ spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| spl1969_4672
| ~ spl1969_4675 ),
inference(sat_conversion,[],[f90091]) ).
cnf(s4202,plain,
( ~ spl1969_493
| ~ spl1969_494
| spl1969_4673 ),
inference(sat_conversion,[],[f90108]) ).
cnf(s4210,plain,
( ~ spl1969_483
| spl1969_484
| ~ spl1969_493
| ~ spl1969_494
| ~ spl1969_4676 ),
inference(sat_conversion,[],[f90320]) ).
cnf(s5382,plain,
spl1969_494,
inference(rat,[],[s429,s432]) ).
cnf(s5402,plain,
spl1969_493,
inference(rat,[],[s428,s432]) ).
cnf(s5404,plain,
spl1969_4673,
inference(rat,[],[s4202,s5382,s5402]) ).
cnf(s5498,plain,
spl1969_483,
inference(rat,[],[s4199,s3207,s409,s3206,s3208,s5382,s5402,s5404]) ).
cnf(s5499,plain,
~ spl1969_484,
inference(rat,[],[s410,s5498]) ).
cnf(s5500,plain,
~ spl1969_4676,
inference(rat,[],[s4210,s5498,s5382,s5402,s5499]) ).
cnf(s5501,plain,
~ spl1969_4664,
inference(rat,[],[s3245,s5500,s5402,s5382,s5499]) ).
cnf(s5502,plain,
$false,
inference(rat,[],[s3203,s5402,s5382,s5501,s5499]) ).
fof(f90321,plain,
$false,
inference(avatar_sat_refutation,[],[s5502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT363+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 15:02:50 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.74/4.57 % (3487798)Detected formulas, will run a generic FOF schedule.
% 20.74/4.57 % (3487827)dis-21_1_sil=8000:lcm=predicate:random_seed=1103256127:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 20.74/4.57 % (3487822)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=1550415520:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 20.74/4.57 % (3487820)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=1326842665:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 20.74/4.57 % (3487821)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=2399553590:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 20.74/4.57 % (3487823)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=188317067:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 20.74/4.57 % (3487825)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1089250334:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 20.74/4.57 % (3487826)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2068407314:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 20.74/4.57 % (3487827)Instruction limit reached!
% 20.74/4.57 % (3487827)------------------------------
% 20.74/4.57 % (3487827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.74/4.57 % (3487827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.74/4.57 % (3487827)CaDiCaL version: 2.1.3
% 20.74/4.57 % (3487827)Termination reason: Instruction limit
% 20.74/4.57 % (3487827)Termination phase: Preprocessing 1
% 20.74/4.57 % (3487827)Time elapsed: 0.109 s
% 20.74/4.57 % (3487827)Peak memory usage: 99 MB
% 20.74/4.57 % (3487827)Instructions burned: 129 (million)
% 20.74/4.57 % (3487823)Refutation not found, incomplete strategy
% 20.74/4.57 % (3487823)------------------------------
% 20.74/4.57 % (3487823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.74/4.57 % (3487823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.74/4.57 % (3487823)CaDiCaL version: 2.1.3
% 20.74/4.57 % (3487823)Termination reason: Refutation not found, incomplete strategy
% 20.74/4.57 % (3487823)Time elapsed: 0.080 s
% 20.74/4.57 % (3487823)Peak memory usage: 103 MB
% 20.74/4.57 % (3487823)Instructions burned: 66 (million)
% 20.74/4.57 % (3487826)Instruction limit reached!
% 20.74/4.57 % (3487826)------------------------------
% 20.74/4.57 % (3487826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.74/4.57 % (3487826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.74/4.57 % (3487826)CaDiCaL version: 2.1.3
% 20.74/4.57 % (3487826)Termination reason: Instruction limit
% 20.74/4.57 % (3487826)Termination phase: Property scanning
% 20.74/4.57 % (3487826)Time elapsed: 0.115 s
% 20.74/4.57 % (3487826)Peak memory usage: 98 MB
% 20.74/4.57 % (3487826)Instructions burned: 139 (million)
% 20.74/4.57 % (3487825)Instruction limit reached!
% 20.74/4.57 % (3487825)------------------------------
% 20.74/4.57 % (3487825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.74/4.57 % (3487825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.74/4.57 % (3487825)CaDiCaL version: 2.1.3
% 20.74/4.57 % (3487825)Termination reason: Instruction limit
% 20.74/4.57 % (3487825)Termination phase: Preprocessing 3
% 20.74/4.57 % (3487825)Time elapsed: 0.145 s
% 20.74/4.57 % (3487825)Peak memory usage: 102 MB
% 20.74/4.57 % (3487825)Instructions burned: 119 (million)
% 20.74/4.57 % (3487835)lrs+10_1_sil=8000:sp=occurrence:random_seed=3896227485:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 20.74/4.57 % (3487836)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1312602746:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/157Mi)
% 20.74/4.57 % (3487836)Instruction limit reached!
% 20.74/4.57 % (3487836)------------------------------
% 20.74/4.57 % (3487836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.74/4.57 % (3487836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.74/4.57 % (3487836)CaDiCaL version: 2.1.3
% 20.74/4.57 % (3487836)Termination reason: Instruction limit
% 34.16/6.32 % (3487836)Termination phase: SInE selection
% 34.16/6.32 % (3487836)Time elapsed: 0.075 s
% 34.16/6.32 % (3487836)Peak memory usage: 99 MB
% 34.16/6.32 % (3487836)Instructions burned: 157 (million)
% 34.16/6.32 % (3487837)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3514023633:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 34.16/6.32 % (3487823)------------------------------
% 34.16/6.32 % (3487823)------------------------------
% 34.16/6.32 % (3487837)Refutation not found, incomplete strategy
% 34.16/6.32 % (3487837)------------------------------
% 34.16/6.32 % (3487837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.16/6.32 % (3487837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.16/6.32 % (3487837)CaDiCaL version: 2.1.3
% 34.16/6.32 % (3487837)Termination reason: Refutation not found, incomplete strategy
% 34.16/6.32 % (3487837)Time elapsed: 0.083 s
% 34.16/6.32 % (3487837)Peak memory usage: 103 MB
% 34.16/6.32 % (3487837)Instructions burned: 63 (million)
% 34.16/6.32 % (3487835)Instruction limit reached!
% 34.16/6.32 % (3487835)------------------------------
% 34.16/6.32 % (3487835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.16/6.33 % (3487835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.16/6.33 % (3487835)CaDiCaL version: 2.1.3
% 34.16/6.33 % (3487835)Termination reason: Instruction limit
% 34.16/6.33 % (3487835)Termination phase: Saturation
% 34.16/6.33 % (3487835)Time elapsed: 0.311 s
% 34.16/6.33 % (3487835)Peak memory usage: 107 MB
% 34.16/6.33 % (3487835)Instructions burned: 285 (million)
% 34.16/6.33 % (3487842)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=3604739091:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 34.16/6.33 % (3487844)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2751584921:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 34.16/6.33 % (3487842)Instruction limit reached!
% 34.16/6.33 % (3487842)------------------------------
% 34.16/6.33 % (3487842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.16/6.33 % (3487842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.16/6.33 % (3487842)CaDiCaL version: 2.1.3
% 34.16/6.33 % (3487842)Termination reason: Instruction limit
% 34.16/6.33 % (3487842)Termination phase: Preprocessing 1
% 34.16/6.33 % (3487842)Time elapsed: 0.140 s
% 34.16/6.33 % (3487842)Peak memory usage: 100 MB
% 34.16/6.33 % (3487842)Instructions burned: 249 (million)
% 34.16/6.33 % (3487845)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1291987487:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 34.16/6.33 % (3487837)------------------------------
% 34.16/6.33 % (3487837)------------------------------
% 34.16/6.33 % (3487844)Instruction limit reached!
% 34.16/6.33 % (3487844)------------------------------
% 34.16/6.33 % (3487844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.16/6.33 % (3487844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.16/6.33 % (3487844)CaDiCaL version: 2.1.3
% 34.16/6.33 % (3487844)Termination reason: Instruction limit
% 34.16/6.33 % (3487844)Termination phase: Saturation
% 34.16/6.33 % (3487844)Time elapsed: 0.244 s
% 34.16/6.33 % (3487844)Peak memory usage: 106 MB
% 34.16/6.33 % (3487844)Instructions burned: 294 (million)
% 34.16/6.33 % (3487848)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1976386334:cts=off:i=113:fsr=off:ss=included:sgt=4_2982 on theBenchmark for (2982ds/113Mi)
% 34.16/6.33 % (3487848)Instruction limit reached!
% 34.16/6.33 % (3487848)------------------------------
% 34.16/6.33 % (3487848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.16/6.33 % (3487848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.16/6.33 % (3487848)CaDiCaL version: 2.1.3
% 34.16/6.33 % (3487848)Termination reason: Instruction limit
% 34.16/6.33 % (3487848)Termination phase: Preprocessing 3
% 34.16/6.33 % (3487848)Time elapsed: 0.090 s
% 34.16/6.33 % (3487848)Peak memory usage: 103 MB
% 34.16/6.33 % (3487848)Instructions burned: 114 (million)
% 34.16/6.33 % (3487852)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2243086430:i=127:av=off:fsr=off:sup=off_2980 on theBenchmark for (2980ds/127Mi)
% 34.16/6.33 % (3487852)Instruction limit reached!
% 34.16/6.33 % (3487852)------------------------------
% 34.16/6.33 % (3487852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.47/12.57 % (3487852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.47/12.57 % (3487852)CaDiCaL version: 2.1.3
% 78.47/12.57 % (3487852)Termination reason: Instruction limit
% 78.47/12.57 % (3487852)Termination phase: Preprocessing 2
% 78.47/12.57 % (3487852)Time elapsed: 0.165 s
% 78.47/12.57 % (3487852)Peak memory usage: 107 MB
% 78.47/12.57 % (3487852)Instructions burned: 127 (million)
% 78.47/12.57 % (3487853)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4166015060:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2980 on theBenchmark for (2980ds/114Mi)
% 78.47/12.57 % (3487855)lrs+10_1_sil=8000:sp=occurrence:random_seed=2769741020:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2979 on theBenchmark for (2979ds/907Mi)
% 78.47/12.57 % (3487853)Instruction limit reached!
% 78.47/12.57 % (3487853)------------------------------
% 78.47/12.57 % (3487853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.47/12.57 % (3487853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.47/12.57 % (3487853)CaDiCaL version: 2.1.3
% 78.47/12.57 % (3487853)Termination reason: Instruction limit
% 78.47/12.57 % (3487853)Termination phase: Property scanning
% 78.47/12.57 % (3487853)Time elapsed: 0.095 s
% 78.47/12.57 % (3487853)Peak memory usage: 99 MB
% 78.47/12.57 % (3487853)Instructions burned: 115 (million)
% 78.47/12.57 % (3487858)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=463842544:i=437:sd=1:aac=none:ss=included_2977 on theBenchmark for (2977ds/437Mi)
% 78.47/12.57 % (3487860)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4068627787:i=5202:ss=axioms:sgt=16_2976 on theBenchmark for (2976ds/5202Mi)
% 78.47/12.57 % (3487858)Refutation not found, incomplete strategy
% 78.47/12.57 % (3487858)------------------------------
% 78.47/12.57 % (3487858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.47/12.57 % (3487858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.47/12.57 % (3487858)CaDiCaL version: 2.1.3
% 78.47/12.57 % (3487858)Termination reason: Refutation not found, incomplete strategy
% 78.47/12.57 % (3487858)Time elapsed: 0.204 s
% 78.47/12.57 % (3487858)Peak memory usage: 106 MB
% 78.47/12.57 % (3487858)Instructions burned: 198 (million)
% 78.47/12.57 % (3487855)Instruction limit reached!
% 78.47/12.57 % (3487855)------------------------------
% 78.47/12.57 % (3487855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.47/12.57 % (3487855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.47/12.57 % (3487855)CaDiCaL version: 2.1.3
% 78.47/12.57 % (3487855)Termination reason: Instruction limit
% 78.47/12.57 % (3487855)Termination phase: Saturation
% 78.47/12.57 % (3487855)Time elapsed: 0.489 s
% 78.47/12.57 % (3487855)Peak memory usage: 122 MB
% 78.47/12.57 % (3487855)Instructions burned: 908 (million)
% 78.47/12.57 % (3487863)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=450112220:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2971 on theBenchmark for (2971ds/134Mi)
% 78.47/12.57 % (3487863)Instruction limit reached!
% 78.47/12.57 % (3487863)------------------------------
% 78.47/12.57 % (3487863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.47/12.57 % (3487863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.47/12.57 % (3487863)CaDiCaL version: 2.1.3
% 78.47/12.57 % (3487863)Termination reason: Instruction limit
% 78.47/12.57 % (3487863)Termination phase: NewCNF
% 78.47/12.57 % (3487863)Time elapsed: 0.087 s
% 78.47/12.57 % (3487863)Peak memory usage: 104 MB
% 78.47/12.57 % (3487863)Instructions burned: 135 (million)
% 78.47/12.57 % (3487858)------------------------------
% 78.47/12.57 % (3487858)------------------------------
% 78.47/12.57 % (3487865)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1468656950:st=8:i=592:sd=3:ep=RST:ss=axioms_2968 on theBenchmark for (2968ds/592Mi)
% 78.47/12.57 % (3487866)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3332127431:st=3:i=13193:sd=3:ss=axioms_2968 on theBenchmark for (2968ds/13193Mi)
% 78.47/12.57 % (3487865)Instruction limit reached!
% 78.47/12.57 % (3487865)------------------------------
% 78.47/12.57 % (3487865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.47/12.57 % (3487865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.47/12.57 % (3487865)CaDiCaL version: 2.1.3
% 78.47/12.57 % (3487865)Termination reason: Instruction limit
% 78.47/12.57 % (3487865)Termination phase: Property scanning
% 78.47/12.57 % (3487865)Time elapsed: 0.334 s
% 83.53/16.41 % (3487865)Peak memory usage: 116 MB
% 83.53/16.41 % (3487865)Instructions burned: 594 (million)
% 83.53/16.41 % (3487869)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=3775346870:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2963 on theBenchmark for (2963ds/125Mi)
% 83.53/16.41 % (3487869)Instruction limit reached!
% 83.53/16.41 % (3487869)------------------------------
% 83.53/16.41 % (3487869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.53/16.41 % (3487869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.53/16.41 % (3487869)CaDiCaL version: 2.1.3
% 83.53/16.41 % (3487869)Termination reason: Instruction limit
% 83.53/16.41 % (3487869)Termination phase: Property scanning
% 83.53/16.41 % (3487869)Time elapsed: 0.055 s
% 83.53/16.41 % (3487869)Peak memory usage: 99 MB
% 83.53/16.41 % (3487869)Instructions burned: 125 (million)
% 83.53/16.41 % (3487873)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1984707106:i=134:gtgl=5:slsql=off:gtg=exists_sym_2960 on theBenchmark for (2960ds/134Mi)
% 83.53/16.41 % (3487873)Instruction limit reached!
% 83.53/16.41 % (3487873)------------------------------
% 83.53/16.41 % (3487873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.53/16.41 % (3487873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.53/16.41 % (3487873)CaDiCaL version: 2.1.3
% 83.53/16.41 % (3487873)Termination reason: Instruction limit
% 83.53/16.41 % (3487873)Termination phase: Property scanning
% 83.53/16.41 % (3487873)Time elapsed: 0.059 s
% 83.53/16.41 % (3487873)Peak memory usage: 99 MB
% 83.53/16.41 % (3487873)Instructions burned: 135 (million)
% 83.53/16.41 % (3487845)Instruction limit reached!
% 83.53/16.41 % (3487845)------------------------------
% 83.53/16.41 % (3487845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.53/16.41 % (3487845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.53/16.41 % (3487845)CaDiCaL version: 2.1.3
% 83.53/16.41 % (3487845)Termination reason: Instruction limit
% 83.53/16.41 % (3487845)Termination phase: Saturation
% 83.53/16.41 % (3487845)Time elapsed: 2.563 s
% 83.53/16.41 % (3487845)Peak memory usage: 277 MB
% 83.53/16.41 % (3487845)Instructions burned: 2350 (million)
% 83.53/16.41 % (3487875)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2779927391:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/141Mi)
% 83.53/16.41 % (3487875)Refutation not found, incomplete strategy
% 83.53/16.41 % (3487875)------------------------------
% 83.53/16.41 % (3487875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.53/16.41 % (3487875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.53/16.41 % (3487875)CaDiCaL version: 2.1.3
% 83.53/16.41 % (3487875)Termination reason: Refutation not found, incomplete strategy
% 83.53/16.41 % (3487875)Time elapsed: 0.046 s
% 83.53/16.41 % (3487875)Peak memory usage: 104 MB
% 83.53/16.41 % (3487875)Instructions burned: 63 (million)
% 83.53/16.41 % (3487876)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2626944584:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2955 on theBenchmark for (2955ds/431Mi)
% 83.53/16.41 % (3487876)Refutation not found, incomplete strategy
% 83.53/16.41 % (3487876)------------------------------
% 83.53/16.41 % (3487876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.53/16.41 % (3487876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.53/16.41 % (3487876)CaDiCaL version: 2.1.3
% 83.53/16.41 % (3487876)Termination reason: Refutation not found, incomplete strategy
% 83.53/16.41 % (3487876)Time elapsed: 0.080 s
% 83.53/16.41 % (3487876)Peak memory usage: 103 MB
% 83.53/16.41 % (3487876)Instructions burned: 62 (million)
% 83.53/16.41 % (3487875)------------------------------
% 83.53/16.41 % (3487875)------------------------------
% 83.53/16.41 % (3487879)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1374198440:i=6060:aac=none:ins=25_2952 on theBenchmark for (2952ds/6060Mi)
% 83.53/16.41 % (3487876)------------------------------
% 83.53/16.41 % (3487876)------------------------------
% 83.53/16.41 % (3487881)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2054895282:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2948 on theBenchmark for (2948ds/150Mi)
% 83.53/16.41 % (3487881)Instruction limit reached!
% 83.53/16.41 % (3487881)------------------------------
% 83.53/16.41 % (3487881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.53/16.41 % (3487881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.53/16.41 % (3487881)CaDiCaL version: 2.1.3
% 83.53/16.41 % (3487881)Termination reason: Instruction limit
% 83.53/16.41 % (3487881)Termination phase: Unused predicate definition removal
% 83.53/16.41 % (3487881)Time elapsed: 0.180 s
% 83.53/16.41 % (3487881)Peak memory usage: 101 MB
% 83.53/16.41 % (3487881)Instructions burned: 150 (million)
% 83.53/16.41 % (3487885)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3821387440:i=14155:bd=all_2943 on theBenchmark for (2943ds/14155Mi)
% 83.53/16.41 % (3487860)Instruction limit reached!
% 83.53/16.41 % (3487860)------------------------------
% 83.53/16.41 % (3487860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.53/16.41 % (3487860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.53/16.41 % (3487860)CaDiCaL version: 2.1.3
% 83.53/16.41 % (3487860)Termination reason: Instruction limit
% 83.53/16.41 % (3487860)Termination phase: Saturation
% 83.53/16.41 % (3487860)Time elapsed: 3.910 s
% 83.53/16.41 % (3487860)Peak memory usage: 409 MB
% 83.53/16.41 % (3487860)Instructions burned: 5204 (million)
% 83.53/16.41 % (3487887)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4254414998:i=667:av=off:fsr=off_2933 on theBenchmark for (2933ds/667Mi)
% 83.53/16.41 % (3487887)Instruction limit reached!
% 83.53/16.41 % (3487887)------------------------------
% 83.53/16.41 % (3487887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.53/16.41 % (3487887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.53/16.41 % (3487887)CaDiCaL version: 2.1.3
% 83.53/16.41 % (3487887)Termination reason: Instruction limit
% 83.53/16.41 % (3487887)Termination phase: NewCNF
% 83.53/16.41 % (3487887)Time elapsed: 0.364 s
% 83.53/16.41 % (3487887)Peak memory usage: 128 MB
% 83.53/16.41 % (3487887)Instructions burned: 669 (million)
% 83.53/16.41 % (3487889)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1671996883:s2a=on:i=185:s2at=1.8:fdi=4_2928 on theBenchmark for (2928ds/185Mi)
% 83.53/16.41 % (3487889)Instruction limit reached!
% 83.53/16.41 % (3487889)------------------------------
% 83.53/16.41 % (3487889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.53/16.41 % (3487889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.53/16.41 % (3487889)CaDiCaL version: 2.1.3
% 83.53/16.41 % (3487889)Termination reason: Instruction limit
% 83.53/16.41 % (3487889)Termination phase: Preprocessing 2
% 83.53/16.41 % (3487889)Time elapsed: 0.114 s
% 83.53/16.41 % (3487889)Peak memory usage: 102 MB
% 83.53/16.41 % (3487889)Instructions burned: 185 (million)
% 83.53/16.41 % (3487891)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3609557124:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2924 on theBenchmark for (2924ds/193Mi)
% 83.53/16.41 % (3487891)Instruction limit reached!
% 83.53/16.41 % (3487891)------------------------------
% 83.53/16.41 % (3487891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.53/16.41 % (3487891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.53/16.41 % (3487891)CaDiCaL version: 2.1.3
% 83.53/16.41 % (3487891)Termination reason: Instruction limit
% 83.53/16.41 % (3487891)Termination phase: Clausification
% 83.53/16.41 % (3487891)Time elapsed: 0.220 s
% 83.53/16.41 % (3487891)Peak memory usage: 103 MB
% 83.53/16.41 % (3487891)Instructions burned: 193 (million)
% 83.53/16.41 % (3487893)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=680853296:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2920 on theBenchmark for (2920ds/4850Mi)
% 83.53/16.41 % (3487879)Instruction limit reached!
% 83.53/16.41 % (3487879)------------------------------
% 83.53/16.41 % (3487879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.53/16.41 % (3487879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.53/16.41 % (3487879)CaDiCaL version: 2.1.3
% 83.53/16.41 % (3487879)Termination reason: Instruction limit
% 83.53/16.41 % (3487879)Termination phase: Saturation
% 83.53/16.41 % (3487879)Time elapsed: 6.571 s
% 83.53/16.41 % (3487879)Peak memory usage: 486 MB
% 83.53/16.41 % (3487879)Instructions burned: 6061 (million)
% 83.53/16.41 % (3487907)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=4209942807:i=12111:sd=1:ss=included_2882 on theBenchmark for (2882ds/12111Mi)
% 83.53/16.41 % (3487893)Instruction limit reached!
% 83.53/16.41 % (3487893)------------------------------
% 83.53/16.41 % (3487893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.53/16.41 % (3487893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.53/16.41 % (3487893)CaDiCaL version: 2.1.3
% 83.53/16.41 % (3487893)Termination reason: Instruction limit
% 83.53/16.41 % (3487893)Termination phase: Saturation
% 83.53/16.41 % (3487893)Time elapsed: 4.422 s
% 83.53/16.41 % (3487893)Peak memory usage: 167 MB
% 83.53/16.41 % (3487893)Instructions burned: 4851 (million)
% 83.53/16.41 % (3487909)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3140254807:i=319:kws=precedence:fsr=off_2872 on theBenchmark for (2872ds/319Mi)
% 83.53/16.41 % (3487909)Instruction limit reached!
% 83.53/16.41 % (3487909)------------------------------
% 83.53/16.41 % (3487909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.53/16.41 % (3487909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.53/16.41 % (3487909)CaDiCaL version: 2.1.3
% 83.53/16.41 % (3487909)Termination reason: Instruction limit
% 83.53/16.41 % (3487909)Termination phase: Preprocessing 3
% 83.53/16.41 % (3487909)Time elapsed: 0.350 s
% 83.53/16.41 % (3487909)Peak memory usage: 117 MB
% 83.53/16.41 % (3487909)Instructions burned: 319 (million)
% 83.53/16.41 % (3487913)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=625061088:i=2064:ep=RST_2866 on theBenchmark for (2866ds/2064Mi)
% 83.53/16.41 % (3487885)Instruction limit reached!
% 83.53/16.41 % (3487885)------------------------------
% 83.53/16.41 % (3487885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.53/16.41 % (3487885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.53/16.41 % (3487885)CaDiCaL version: 2.1.3
% 83.53/16.41 % (3487885)Termination reason: Instruction limit
% 83.53/16.41 % (3487885)Termination phase: Saturation
% 83.53/16.41 % (3487885)Time elapsed: 8.041 s
% 83.53/16.41 % (3487885)Peak memory usage: 341 MB
% 83.53/16.41 % (3487885)Instructions burned: 14156 (million)
% 83.53/16.41 % (3487917)dis-1011_128_sil=32000:random_seed=3288079801:i=3706:ep=RST:av=off_2860 on theBenchmark for (2860ds/3706Mi)
% 83.53/16.41 % (3487821)First to succeed.
% 83.53/16.41 % (3487821)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3487798"
% 83.53/16.41 % (3487866)Also succeeded, but the first one will report.
% 83.53/16.41 % (3487821)Refutation found. Thanks to Tanya!
% 83.53/16.41 % SZS status Theorem for theBenchmark
% 83.53/16.41 % SZS output start Proof for theBenchmark
% See solution above
% 106.06/16.63 % (3487821)------------------------------
% 106.06/16.63 % (3487821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.06/16.63 % (3487821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.06/16.63 % (3487821)CaDiCaL version: 2.1.3
% 106.06/16.63 % (3487821)Termination reason: Refutation
% 106.06/16.63 % (3487821)Time elapsed: 13.975 s
% 106.06/16.63 % (3487821)Peak memory usage: 294 MB
% 106.06/16.63 % (3487821)Instructions burned: 14187 (million)
% 106.06/16.63 % (3487821)------------------------------
% 106.06/16.63 % (3487821)------------------------------
% 106.06/16.63 % (3487798)Success in time 15.505 s
% 106.06/16.63 % Vampire exiting
%------------------------------------------------------------------------------