TSTP Solution File: LAT352+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT352+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:18:04 EDT 2023
% Result : Theorem 5.86s 1.67s
% Output : CNFRefutation 5.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 154 ( 43 unt; 0 def)
% Number of atoms : 1363 ( 55 equ)
% Maximal formula atoms : 40 ( 8 avg)
% Number of connectives : 2089 ( 880 ~; 909 |; 255 &)
% ( 10 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 294 ( 0 sgn; 158 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k7_yellow_2(u1_struct_0(X1),X0,k1_waybel34(X0,X1,X2),X3) = k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X3))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_waybel34) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k7_yellow_2(u1_struct_0(X1),X0,k1_waybel34(X0,X1,X2),X3) = k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X3))) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f21,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f27,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v3_lattice3(X0)
& ~ v3_struct_0(X0) )
=> ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(f32,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f45,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( ( v17_waybel_0(X2,X0,X1)
& v3_lattice3(X1)
& v3_lattice3(X0) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X3) )
=> ( k1_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_waybel34) ).
fof(f47,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( r3_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k2_yellow_0(X0,X2),X2)
& k2_yellow_0(X0,X2) = X1
& r2_yellow_0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_waybel_1) ).
fof(f52,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& l1_orders_2(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(k1_waybel34(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_waybel34) ).
fof(f63,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,u1_struct_0(X1))
& v1_funct_2(X2,X0,u1_struct_0(X1))
& v1_funct_1(X2)
& l1_struct_0(X1)
& ~ v3_struct_0(X1)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_yellow_2) ).
fof(f64,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f90,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f121,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(f123,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X3) )
=> ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) )
& v5_orders_3(X2,X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_waybel_1) ).
fof(f156,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(X1),X0,k1_waybel34(X0,X1,X2),X3) != k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X3)))
& m1_subset_1(X3,u1_struct_0(X1)) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f157,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(X1),X0,k1_waybel34(X0,X1,X2),X3) != k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X3)))
& m1_subset_1(X3,u1_struct_0(X1)) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) ),
inference(flattening,[],[f156]) ).
fof(f181,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f182,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f181]) ).
fof(f191,plain,
! [X0] :
( ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f192,plain,
! [X0] :
( ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f191]) ).
fof(f199,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f200,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f199]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k1_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k1_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f220]) ).
fof(f222,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r3_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k2_yellow_0(X0,X2),X2)
& k2_yellow_0(X0,X2) = X1
& r2_yellow_0(X0,X2) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r3_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k2_yellow_0(X0,X2),X2)
& k2_yellow_0(X0,X2) = X1
& r2_yellow_0(X0,X2) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f222]) ).
fof(f226,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(k1_waybel34(X0,X1,X2)) )
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(k1_waybel34(X0,X1,X2)) )
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f226]) ).
fof(f235,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1))
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f236,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1))
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f235]) ).
fof(f237,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f257,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f258,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f257]) ).
fof(f293,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> ( ! [X4] :
( r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
& v5_orders_3(X2,X0,X1) ) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f123]) ).
fof(f294,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> ( ! [X4] :
( r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
& v5_orders_3(X2,X0,X1) ) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f293]) ).
fof(f309,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(X1),X0,k1_waybel34(X0,X1,X2),X3) != k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X3)))
& m1_subset_1(X3,u1_struct_0(X1)) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(X1),sK2,k1_waybel34(sK2,X1,X2),X3) != k2_yellow_0(sK2,k5_pre_topc(sK2,X1,X2,k7_waybel_0(X1,X3)))
& m1_subset_1(X3,u1_struct_0(X1)) )
& m2_relset_1(X2,u1_struct_0(sK2),u1_struct_0(X1))
& v17_waybel_0(X2,sK2,X1)
& v1_funct_2(X2,u1_struct_0(sK2),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& l1_orders_2(sK2)
& v3_lattice3(sK2)
& v2_lattice3(sK2)
& v1_lattice3(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(X1),sK2,k1_waybel34(sK2,X1,X2),X3) != k2_yellow_0(sK2,k5_pre_topc(sK2,X1,X2,k7_waybel_0(X1,X3)))
& m1_subset_1(X3,u1_struct_0(X1)) )
& m2_relset_1(X2,u1_struct_0(sK2),u1_struct_0(X1))
& v17_waybel_0(X2,sK2,X1)
& v1_funct_2(X2,u1_struct_0(sK2),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,X2),X3) != k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,X2,k7_waybel_0(sK3,X3)))
& m1_subset_1(X3,u1_struct_0(sK3)) )
& m2_relset_1(X2,u1_struct_0(sK2),u1_struct_0(sK3))
& v17_waybel_0(X2,sK2,sK3)
& v1_funct_2(X2,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(X2) )
& l1_orders_2(sK3)
& v3_lattice3(sK3)
& v2_lattice3(sK3)
& v1_lattice3(sK3)
& v4_orders_2(sK3)
& v3_orders_2(sK3)
& v2_orders_2(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f311,plain,
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,X2),X3) != k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,X2,k7_waybel_0(sK3,X3)))
& m1_subset_1(X3,u1_struct_0(sK3)) )
& m2_relset_1(X2,u1_struct_0(sK2),u1_struct_0(sK3))
& v17_waybel_0(X2,sK2,sK3)
& v1_funct_2(X2,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(X2) )
=> ( ? [X3] :
( k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),X3) != k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,X3)))
& m1_subset_1(X3,u1_struct_0(sK3)) )
& m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& v17_waybel_0(sK4,sK2,sK3)
& v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f312,plain,
( ? [X3] :
( k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),X3) != k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,X3)))
& m1_subset_1(X3,u1_struct_0(sK3)) )
=> ( k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),sK5) != k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,sK5)))
& m1_subset_1(sK5,u1_struct_0(sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f313,plain,
( k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),sK5) != k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,sK5)))
& m1_subset_1(sK5,u1_struct_0(sK3))
& m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& v17_waybel_0(sK4,sK2,sK3)
& v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(sK4)
& l1_orders_2(sK3)
& v3_lattice3(sK3)
& v2_lattice3(sK3)
& v1_lattice3(sK3)
& v4_orders_2(sK3)
& v3_orders_2(sK3)
& v2_orders_2(sK3)
& l1_orders_2(sK2)
& v3_lattice3(sK2)
& v2_lattice3(sK2)
& v1_lattice3(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f157,f312,f311,f310,f309]) ).
fof(f316,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( k1_waybel34(X0,X1,X2) = X3
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
& ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k1_waybel34(X0,X1,X2) != X3 ) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(nnf_transformation,[],[f221]) ).
fof(f317,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r3_waybel_1(X0,X1,X2)
| ~ r2_hidden(k2_yellow_0(X0,X2),X2)
| k2_yellow_0(X0,X2) != X1
| ~ r2_yellow_0(X0,X2) )
& ( ( r2_hidden(k2_yellow_0(X0,X2),X2)
& k2_yellow_0(X0,X2) = X1
& r2_yellow_0(X0,X2) )
| ~ r3_waybel_1(X0,X1,X2) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f223]) ).
fof(f318,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r3_waybel_1(X0,X1,X2)
| ~ r2_hidden(k2_yellow_0(X0,X2),X2)
| k2_yellow_0(X0,X2) != X1
| ~ r2_yellow_0(X0,X2) )
& ( ( r2_hidden(k2_yellow_0(X0,X2),X2)
& k2_yellow_0(X0,X2) = X1
& r2_yellow_0(X0,X2) )
| ~ r3_waybel_1(X0,X1,X2) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f317]) ).
fof(f363,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,[],[f121]) ).
fof(f364,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ? [X4] :
( ~ r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
& m1_subset_1(X4,u1_struct_0(X1)) )
| ~ v5_orders_3(X2,X0,X1) )
& ( ( ! [X4] :
( r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
& v5_orders_3(X2,X0,X1) )
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f294]) ).
fof(f365,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ? [X4] :
( ~ r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
& m1_subset_1(X4,u1_struct_0(X1)) )
| ~ v5_orders_3(X2,X0,X1) )
& ( ( ! [X4] :
( r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
& v5_orders_3(X2,X0,X1) )
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f364]) ).
fof(f366,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ? [X4] :
( ~ r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
& m1_subset_1(X4,u1_struct_0(X1)) )
| ~ v5_orders_3(X2,X0,X1) )
& ( ( ! [X5] :
( r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X5),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X5)))
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
& v5_orders_3(X2,X0,X1) )
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f365]) ).
fof(f367,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( ~ r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
& m1_subset_1(X4,u1_struct_0(X1)) )
=> ( ~ r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,sK28(X0,X1,X2,X3)),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,sK28(X0,X1,X2,X3))))
& m1_subset_1(sK28(X0,X1,X2,X3),u1_struct_0(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f368,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ( ~ r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,sK28(X0,X1,X2,X3)),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,sK28(X0,X1,X2,X3))))
& m1_subset_1(sK28(X0,X1,X2,X3),u1_struct_0(X1)) )
| ~ v5_orders_3(X2,X0,X1) )
& ( ( ! [X5] :
( r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X5),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X5)))
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
& v5_orders_3(X2,X0,X1) )
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f366,f367]) ).
fof(f369,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f313]) ).
fof(f370,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f313]) ).
fof(f371,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f313]) ).
fof(f372,plain,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f313]) ).
fof(f373,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f313]) ).
fof(f374,plain,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f313]) ).
fof(f375,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f313]) ).
fof(f376,plain,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f313]) ).
fof(f377,plain,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f313]) ).
fof(f378,plain,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f313]) ).
fof(f379,plain,
v1_lattice3(sK3),
inference(cnf_transformation,[],[f313]) ).
fof(f380,plain,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f313]) ).
fof(f381,plain,
v3_lattice3(sK3),
inference(cnf_transformation,[],[f313]) ).
fof(f382,plain,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f313]) ).
fof(f383,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f313]) ).
fof(f384,plain,
v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f313]) ).
fof(f385,plain,
v17_waybel_0(sK4,sK2,sK3),
inference(cnf_transformation,[],[f313]) ).
fof(f386,plain,
m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f313]) ).
fof(f387,plain,
m1_subset_1(sK5,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f313]) ).
fof(f388,plain,
k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),sK5) != k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,sK5))),
inference(cnf_transformation,[],[f313]) ).
fof(f449,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f462,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f484,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f510,plain,
! [X2,X3,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k1_waybel34(X0,X1,X2) != X3
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f514,plain,
! [X2,X0,X1] :
( k2_yellow_0(X0,X2) = X1
| ~ r3_waybel_1(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f318]) ).
fof(f518,plain,
! [X2,X0,X1] :
( v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f519,plain,
! [X2,X0,X1] :
( v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f520,plain,
! [X2,X0,X1] :
( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f525,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1))
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f526,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f563,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f661,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f363]) ).
fof(f662,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f363]) ).
fof(f665,plain,
! [X2,X3,X0,X1,X5] :
( r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X5),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X5)))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f677,plain,
! [X2,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1)
| ~ m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(equality_resolution,[],[f510]) ).
cnf(c_49,negated_conjecture,
k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),sK5) != k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,sK5))),
inference(cnf_transformation,[],[f388]) ).
cnf(c_50,negated_conjecture,
m1_subset_1(sK5,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f387]) ).
cnf(c_51,negated_conjecture,
m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f386]) ).
cnf(c_52,negated_conjecture,
v17_waybel_0(sK4,sK2,sK3),
inference(cnf_transformation,[],[f385]) ).
cnf(c_53,negated_conjecture,
v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f384]) ).
cnf(c_54,negated_conjecture,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f383]) ).
cnf(c_55,negated_conjecture,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f382]) ).
cnf(c_56,negated_conjecture,
v3_lattice3(sK3),
inference(cnf_transformation,[],[f381]) ).
cnf(c_57,negated_conjecture,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f380]) ).
cnf(c_58,negated_conjecture,
v1_lattice3(sK3),
inference(cnf_transformation,[],[f379]) ).
cnf(c_59,negated_conjecture,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f378]) ).
cnf(c_60,negated_conjecture,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f377]) ).
cnf(c_61,negated_conjecture,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f376]) ).
cnf(c_62,negated_conjecture,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f375]) ).
cnf(c_63,negated_conjecture,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f374]) ).
cnf(c_64,negated_conjecture,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f373]) ).
cnf(c_65,negated_conjecture,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f372]) ).
cnf(c_66,negated_conjecture,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f371]) ).
cnf(c_67,negated_conjecture,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f370]) ).
cnf(c_68,negated_conjecture,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f369]) ).
cnf(c_118,plain,
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f449]) ).
cnf(c_125,plain,
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v2_lattice3(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f462]) ).
cnf(c_146,plain,
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f484]) ).
cnf(c_164,plain,
( ~ m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1) ),
inference(cnf_transformation,[],[f677]) ).
cnf(c_167,plain,
( ~ r3_waybel_1(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| k2_yellow_0(X0,X2) = X1
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f514]) ).
cnf(c_170,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| m2_relset_1(k1_waybel34(X1,X2,X0),u1_struct_0(X2),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f520]) ).
cnf(c_171,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v1_funct_2(k1_waybel34(X1,X2,X0),u1_struct_0(X2),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f519]) ).
cnf(c_172,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v1_funct_1(k1_waybel34(X1,X2,X0)) ),
inference(cnf_transformation,[],[f518]) ).
cnf(c_177,plain,
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X0)
| ~ l1_struct_0(X2)
| m1_subset_1(k7_yellow_2(X1,X2,X0,X3),u1_struct_0(X2))
| v3_struct_0(X2)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f525]) ).
cnf(c_178,plain,
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f526]) ).
cnf(c_215,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f563]) ).
cnf(c_313,plain,
( ~ m1_relset_1(X0,X1,X2)
| m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f662]) ).
cnf(c_314,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f661]) ).
cnf(c_318,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f665]) ).
cnf(c_337,plain,
( ~ l1_orders_2(sK3)
| l1_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_178]) ).
cnf(c_393,plain,
( ~ v1_xboole_0(u1_struct_0(sK3))
| ~ l1_struct_0(sK3)
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_215]) ).
cnf(c_395,plain,
( ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_146]) ).
cnf(c_544,plain,
( ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(k1_waybel34(X0,X1,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_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_164,c_118,c_125,c_164]) ).
cnf(c_545,plain,
( ~ m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1) ),
inference(renaming,[status(thm)],[c_544]) ).
cnf(c_7668,plain,
( X0 != sK3
| X1 != sK2
| X2 != sK4
| ~ m2_relset_1(k1_waybel34(X1,X0,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k1_waybel34(X1,X0,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(k1_waybel34(X1,X0,X2))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v3_waybel_1(k1_waybel_1(X1,X0,X2,k1_waybel34(X1,X0,X2)),X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_545]) ).
cnf(c_7669,plain,
( ~ m2_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_1(k1_waybel34(sK2,sK3,sK4))
| ~ v1_funct_1(sK4)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v3_lattice3(sK3)
| ~ v3_lattice3(sK2)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| v3_waybel_1(k1_waybel_1(sK2,sK3,sK4,k1_waybel34(sK2,sK3,sK4)),sK2,sK3) ),
inference(unflattening,[status(thm)],[c_7668]) ).
cnf(c_7670,plain,
( ~ m2_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_1(k1_waybel34(sK2,sK3,sK4))
| v3_waybel_1(k1_waybel_1(sK2,sK3,sK4,k1_waybel34(sK2,sK3,sK4)),sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_7669,c_68,c_67,c_66,c_65,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_51,c_7669]) ).
cnf(c_18927,plain,
m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(superposition,[status(thm)],[c_51,c_314]) ).
cnf(c_18945,plain,
( ~ v2_lattice3(sK2)
| ~ v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_62,c_146]) ).
cnf(c_19146,plain,
( ~ m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_1(sK4)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| v1_funct_1(k1_waybel34(sK2,sK3,sK4)) ),
inference(superposition,[status(thm)],[c_53,c_172]) ).
cnf(c_19213,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| m1_relset_1(k1_waybel34(X1,X2,X0),u1_struct_0(X2),u1_struct_0(X1)) ),
inference(superposition,[status(thm)],[c_170,c_314]) ).
cnf(c_19253,plain,
( ~ m1_subset_1(k7_yellow_2(u1_struct_0(X0),X1,X2,X3),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X1,X0,X4,X2),X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| k2_yellow_0(X1,k5_pre_topc(X1,X0,X4,k7_waybel_0(X0,X3))) = k7_yellow_2(u1_struct_0(X0),X1,X2,X3)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(superposition,[status(thm)],[c_318,c_167]) ).
cnf(c_19495,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ l1_struct_0(X0)
| k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) = k7_yellow_2(u1_struct_0(X1),X0,X3,X4)
| v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(superposition,[status(thm)],[c_177,c_19253]) ).
cnf(c_19764,plain,
( ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) = k7_yellow_2(u1_struct_0(X1),X0,X3,X4)
| v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_19495,c_178,c_19495]) ).
cnf(c_19765,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) = k7_yellow_2(u1_struct_0(X1),X0,X3,X4)
| v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_19764]) ).
cnf(c_19788,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) = k7_yellow_2(u1_struct_0(X1),X0,X3,X4)
| v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19765,c_313]) ).
cnf(c_19809,plain,
( ~ m2_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_1(k1_waybel34(sK2,sK3,sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ v1_funct_1(sK4)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),X0) = k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,X0)))
| v1_xboole_0(u1_struct_0(sK3))
| v3_struct_0(sK3)
| v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_7670,c_19788]) ).
cnf(c_20160,plain,
( k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),X0) = k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,X0)))
| ~ m1_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m2_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_19809,c_68,c_67,c_66,c_65,c_64,c_62,c_61,c_60,c_59,c_58,c_57,c_55,c_54,c_337,c_53,c_51,c_393,c_395,c_18927,c_18945,c_19146,c_19809]) ).
cnf(c_20161,plain,
( ~ m2_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),X0) = k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,X0))) ),
inference(renaming,[status(thm)],[c_20160]) ).
cnf(c_20168,plain,
( ~ v1_funct_2(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),X0) = k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20161,c_313]) ).
cnf(c_20173,plain,
( ~ v1_funct_2(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ v1_funct_1(sK4)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),X0) = k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,X0))) ),
inference(superposition,[status(thm)],[c_19213,c_20168]) ).
cnf(c_20347,plain,
( ~ v1_funct_2(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m2_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| v3_waybel_1(k1_waybel_1(sK2,sK3,sK4,k1_waybel34(sK2,sK3,sK4)),sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_7670,c_68,c_67,c_66,c_65,c_64,c_62,c_61,c_60,c_59,c_58,c_57,c_55,c_54,c_7670,c_18927,c_19146]) ).
cnf(c_20348,plain,
( ~ m2_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| v3_waybel_1(k1_waybel_1(sK2,sK3,sK4,k1_waybel34(sK2,sK3,sK4)),sK2,sK3) ),
inference(renaming,[status(thm)],[c_20347]) ).
cnf(c_20536,plain,
( ~ m1_subset_1(k7_yellow_2(u1_struct_0(X0),X1,X2,X3),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X1,X0,X4,X2),X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| k2_yellow_0(X1,k5_pre_topc(X1,X0,X4,k7_waybel_0(X0,X3))) = k7_yellow_2(u1_struct_0(X0),X1,X2,X3)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(superposition,[status(thm)],[c_318,c_167]) ).
cnf(c_20905,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ l1_struct_0(X0)
| k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) = k7_yellow_2(u1_struct_0(X1),X0,X3,X4)
| v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(superposition,[status(thm)],[c_177,c_20536]) ).
cnf(c_21063,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ v1_funct_2(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),X0) = k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,X0))) ),
inference(global_subsumption_just,[status(thm)],[c_20173,c_68,c_67,c_66,c_65,c_64,c_62,c_61,c_60,c_59,c_58,c_57,c_55,c_54,c_53,c_18927,c_20173]) ).
cnf(c_21064,plain,
( ~ v1_funct_2(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),X0) = k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,X0))) ),
inference(renaming,[status(thm)],[c_21063]) ).
cnf(c_21072,plain,
( ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ v1_funct_1(sK4)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),X0) = k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,X0))) ),
inference(superposition,[status(thm)],[c_171,c_21064]) ).
cnf(c_21521,plain,
( ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) = k7_yellow_2(u1_struct_0(X1),X0,X3,X4)
| v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_20905,c_19765]) ).
cnf(c_21522,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) = k7_yellow_2(u1_struct_0(X1),X0,X3,X4)
| v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_21521]) ).
cnf(c_21544,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) = k7_yellow_2(u1_struct_0(X1),X0,X3,X4)
| v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21522,c_313]) ).
cnf(c_21565,plain,
( ~ m2_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_1(k1_waybel34(sK2,sK3,sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ v1_funct_1(sK4)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),X0) = k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,X0)))
| v1_xboole_0(u1_struct_0(sK3))
| v3_struct_0(sK3)
| v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_20348,c_21544]) ).
cnf(c_22243,plain,
( k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),X0) = k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,X0)))
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_21565,c_68,c_67,c_66,c_65,c_64,c_62,c_61,c_60,c_59,c_58,c_57,c_55,c_54,c_53,c_18927,c_21072]) ).
cnf(c_22244,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK3))
| k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),X0) = k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,X0))) ),
inference(renaming,[status(thm)],[c_22243]) ).
cnf(c_22250,plain,
k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),sK5) = k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,sK5))),
inference(superposition,[status(thm)],[c_50,c_22244]) ).
cnf(c_22254,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_22250,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT352+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 10:01:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.86/1.67 % SZS status Started for theBenchmark.p
% 5.86/1.67 % SZS status Theorem for theBenchmark.p
% 5.86/1.67
% 5.86/1.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 5.86/1.67
% 5.86/1.67 ------ iProver source info
% 5.86/1.67
% 5.86/1.67 git: date: 2023-05-31 18:12:56 +0000
% 5.86/1.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 5.86/1.67 git: non_committed_changes: false
% 5.86/1.67 git: last_make_outside_of_git: false
% 5.86/1.67
% 5.86/1.67 ------ Parsing...
% 5.86/1.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 5.86/1.67
% 5.86/1.67 ------ Preprocessing... sup_sim: 1 sf_s rm: 108 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 15 0s sf_e pe_s pe_e
% 5.86/1.67
% 5.86/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 5.86/1.67
% 5.86/1.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 5.86/1.67 ------ Proving...
% 5.86/1.67 ------ Problem Properties
% 5.86/1.67
% 5.86/1.67
% 5.86/1.67 clauses 131
% 5.86/1.67 conjectures 19
% 5.86/1.67 EPR 55
% 5.86/1.67 Horn 88
% 5.86/1.67 unary 49
% 5.86/1.67 binary 17
% 5.86/1.67 lits 596
% 5.86/1.67 lits eq 12
% 5.86/1.67 fd_pure 0
% 5.86/1.67 fd_pseudo 0
% 5.86/1.67 fd_cond 2
% 5.86/1.67 fd_pseudo_cond 3
% 5.86/1.67 AC symbols 0
% 5.86/1.67
% 5.86/1.67 ------ Input Options Time Limit: Unbounded
% 5.86/1.67
% 5.86/1.67
% 5.86/1.67 ------
% 5.86/1.67 Current options:
% 5.86/1.67 ------
% 5.86/1.67
% 5.86/1.67
% 5.86/1.67
% 5.86/1.67
% 5.86/1.67 ------ Proving...
% 5.86/1.67
% 5.86/1.67
% 5.86/1.67 % SZS status Theorem for theBenchmark.p
% 5.86/1.67
% 5.86/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.86/1.67
% 5.86/1.68
%------------------------------------------------------------------------------