TSTP Solution File: LAT353+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT353+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 06:18:05 EDT 2023
% Result : Theorem 23.77s 4.07s
% Output : CNFRefutation 23.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 146 ( 47 unt; 0 def)
% Number of atoms : 1168 ( 46 equ)
% Maximal formula atoms : 40 ( 8 avg)
% Number of connectives : 1736 ( 714 ~; 722 |; 255 &)
% ( 10 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 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 : 240 ( 0 sgn; 155 !; 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(X1),u1_struct_0(X0))
& v18_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k7_yellow_2(u1_struct_0(X0),X1,k2_waybel34(X0,X1,X2),X3) = k1_yellow_0(X1,k5_pre_topc(X1,X0,X2,k6_waybel_0(X0,X3))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_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(X1),u1_struct_0(X0))
& v18_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k7_yellow_2(u1_struct_0(X0),X1,k2_waybel34(X0,X1,X2),X3) = k1_yellow_0(X1,k5_pre_topc(X1,X0,X2,k6_waybel_0(X0,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(f28,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(f33,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(X1),u1_struct_0(X0))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ( ( v18_waybel_0(X2,X1,X0)
& v3_lattice3(X1)
& v3_lattice3(X0) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ( k2_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel34) ).
fof(f47,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( r4_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k1_yellow_0(X0,X2),X2)
& k1_yellow_0(X0,X2) = X1
& r1_yellow_0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_waybel_1) ).
fof(f57,axiom,
! [X0,X1,X2] :
( ( m1_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(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(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k2_waybel34(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_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(f89,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(f122,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(f124,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(X0))
=> r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4))) )
& v5_orders_3(X3,X1,X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_waybel_1) ).
fof(f157,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(X0),X1,k2_waybel34(X0,X1,X2),X3) != k1_yellow_0(X1,k5_pre_topc(X1,X0,X2,k6_waybel_0(X0,X3)))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v18_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& 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(f158,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(X0),X1,k2_waybel34(X0,X1,X2),X3) != k1_yellow_0(X1,k5_pre_topc(X1,X0,X2,k6_waybel_0(X0,X3)))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v18_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& 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,[],[f157]) ).
fof(f182,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f183,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f182]) ).
fof(f194,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,[],[f28]) ).
fof(f195,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,[],[f194]) ).
fof(f202,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f203,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f202]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k2_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ 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(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(f222,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k2_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ 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(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,[],[f221]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r4_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k1_yellow_0(X0,X2),X2)
& k1_yellow_0(X0,X2) = X1
& r1_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(f224,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r4_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k1_yellow_0(X0,X2),X2)
& k1_yellow_0(X0,X2) = X1
& r1_yellow_0(X0,X2) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f223]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k2_waybel34(X0,X1,X2)) )
| ~ m1_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(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,[],[f57]) ).
fof(f229,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k2_waybel34(X0,X1,X2)) )
| ~ m1_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(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,[],[f228]) ).
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(ennf_transformation,[],[f63]) ).
fof(f237,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,[],[f236]) ).
fof(f238,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f256,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f257,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f256]) ).
fof(f296,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> ( ! [X4] :
( r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
& v5_orders_3(X3,X1,X0) ) )
| ~ 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,[],[f124]) ).
fof(f297,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> ( ! [X4] :
( r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
& v5_orders_3(X3,X1,X0) ) )
| ~ 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,[],[f296]) ).
fof(f312,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(X0),X1,k2_waybel34(X0,X1,X2),X3) != k1_yellow_0(X1,k5_pre_topc(X1,X0,X2,k6_waybel_0(X0,X3)))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v18_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& 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(sK2),X1,k2_waybel34(sK2,X1,X2),X3) != k1_yellow_0(X1,k5_pre_topc(X1,sK2,X2,k6_waybel_0(sK2,X3)))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(sK2))
& v18_waybel_0(X2,X1,sK2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(sK2))
& 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(f313,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(sK2),X1,k2_waybel34(sK2,X1,X2),X3) != k1_yellow_0(X1,k5_pre_topc(X1,sK2,X2,k6_waybel_0(sK2,X3)))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(sK2))
& v18_waybel_0(X2,X1,sK2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(sK2))
& 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(sK2),sK3,k2_waybel34(sK2,sK3,X2),X3) != k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,X2,k6_waybel_0(sK2,X3)))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m2_relset_1(X2,u1_struct_0(sK3),u1_struct_0(sK2))
& v18_waybel_0(X2,sK3,sK2)
& v1_funct_2(X2,u1_struct_0(sK3),u1_struct_0(sK2))
& 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(f314,plain,
( ? [X2] :
( ? [X3] :
( k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,X2),X3) != k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,X2,k6_waybel_0(sK2,X3)))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m2_relset_1(X2,u1_struct_0(sK3),u1_struct_0(sK2))
& v18_waybel_0(X2,sK3,sK2)
& v1_funct_2(X2,u1_struct_0(sK3),u1_struct_0(sK2))
& v1_funct_1(X2) )
=> ( ? [X3] :
( k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),X3) != k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,X3)))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m2_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
& v18_waybel_0(sK4,sK3,sK2)
& v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
& v1_funct_1(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f315,plain,
( ? [X3] :
( k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),X3) != k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,X3)))
& m1_subset_1(X3,u1_struct_0(sK2)) )
=> ( k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5) != k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,sK5)))
& m1_subset_1(sK5,u1_struct_0(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f316,plain,
( k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5) != k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,sK5)))
& m1_subset_1(sK5,u1_struct_0(sK2))
& m2_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
& v18_waybel_0(sK4,sK3,sK2)
& v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
& 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])],[f158,f315,f314,f313,f312]) ).
fof(f319,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( k2_waybel34(X0,X1,X2) = X3
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
& ( v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| k2_waybel34(X0,X1,X2) != X3 ) )
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ 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(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,[],[f222]) ).
fof(f320,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r4_waybel_1(X0,X1,X2)
| ~ r2_hidden(k1_yellow_0(X0,X2),X2)
| k1_yellow_0(X0,X2) != X1
| ~ r1_yellow_0(X0,X2) )
& ( ( r2_hidden(k1_yellow_0(X0,X2),X2)
& k1_yellow_0(X0,X2) = X1
& r1_yellow_0(X0,X2) )
| ~ r4_waybel_1(X0,X1,X2) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f224]) ).
fof(f321,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r4_waybel_1(X0,X1,X2)
| ~ r2_hidden(k1_yellow_0(X0,X2),X2)
| k1_yellow_0(X0,X2) != X1
| ~ r1_yellow_0(X0,X2) )
& ( ( r2_hidden(k1_yellow_0(X0,X2),X2)
& k1_yellow_0(X0,X2) = X1
& r1_yellow_0(X0,X2) )
| ~ r4_waybel_1(X0,X1,X2) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f320]) ).
fof(f368,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,[],[f122]) ).
fof(f369,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ? [X4] :
( ~ r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4)))
& m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v5_orders_3(X3,X1,X0) )
& ( ( ! [X4] :
( r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
& v5_orders_3(X3,X1,X0) )
| ~ 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,[],[f297]) ).
fof(f370,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ? [X4] :
( ~ r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4)))
& m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v5_orders_3(X3,X1,X0) )
& ( ( ! [X4] :
( r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
& v5_orders_3(X3,X1,X0) )
| ~ 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,[],[f369]) ).
fof(f371,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ? [X4] :
( ~ r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4)))
& m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v5_orders_3(X3,X1,X0) )
& ( ( ! [X5] :
( r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X5),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X5)))
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
& v5_orders_3(X3,X1,X0) )
| ~ 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,[],[f370]) ).
fof(f372,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( ~ r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4)))
& m1_subset_1(X4,u1_struct_0(X0)) )
=> ( ~ r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,sK29(X0,X1,X2,X3)),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,sK29(X0,X1,X2,X3))))
& m1_subset_1(sK29(X0,X1,X2,X3),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f373,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ( ~ r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,sK29(X0,X1,X2,X3)),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,sK29(X0,X1,X2,X3))))
& m1_subset_1(sK29(X0,X1,X2,X3),u1_struct_0(X0)) )
| ~ v5_orders_3(X3,X1,X0) )
& ( ( ! [X5] :
( r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X5),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X5)))
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
& v5_orders_3(X3,X1,X0) )
| ~ 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,[sK29])],[f371,f372]) ).
fof(f374,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f316]) ).
fof(f375,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f316]) ).
fof(f376,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f316]) ).
fof(f377,plain,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f316]) ).
fof(f378,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f316]) ).
fof(f379,plain,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f316]) ).
fof(f380,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f316]) ).
fof(f381,plain,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f316]) ).
fof(f382,plain,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f316]) ).
fof(f383,plain,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f316]) ).
fof(f384,plain,
v1_lattice3(sK3),
inference(cnf_transformation,[],[f316]) ).
fof(f385,plain,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f316]) ).
fof(f386,plain,
v3_lattice3(sK3),
inference(cnf_transformation,[],[f316]) ).
fof(f387,plain,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f316]) ).
fof(f388,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f316]) ).
fof(f389,plain,
v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f316]) ).
fof(f390,plain,
v18_waybel_0(sK4,sK3,sK2),
inference(cnf_transformation,[],[f316]) ).
fof(f391,plain,
m2_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f316]) ).
fof(f392,plain,
m1_subset_1(sK5,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f316]) ).
fof(f393,plain,
k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5) != k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,sK5))),
inference(cnf_transformation,[],[f316]) ).
fof(f454,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f472,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f494,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f515,plain,
! [X2,X3,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| k2_waybel34(X0,X1,X2) != X3
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ 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(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,[],[f319]) ).
fof(f519,plain,
! [X2,X0,X1] :
( k1_yellow_0(X0,X2) = X1
| ~ r4_waybel_1(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f524,plain,
! [X2,X0,X1] :
( v1_funct_1(k2_waybel34(X0,X1,X2))
| ~ m1_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(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,[],[f229]) ).
fof(f525,plain,
! [X2,X0,X1] :
( v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_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(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,[],[f229]) ).
fof(f526,plain,
! [X2,X0,X1] :
( m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_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(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,[],[f229]) ).
fof(f530,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,[],[f237]) ).
fof(f531,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f566,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f670,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f368]) ).
fof(f674,plain,
! [X2,X3,X0,X1,X5] :
( r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X5),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X5)))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ 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,[],[f373]) ).
fof(f686,plain,
! [X2,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1)
| ~ m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k2_waybel34(X0,X1,X2))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ 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(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,[],[f515]) ).
cnf(c_49,negated_conjecture,
k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5) != k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,sK5))),
inference(cnf_transformation,[],[f393]) ).
cnf(c_50,negated_conjecture,
m1_subset_1(sK5,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f392]) ).
cnf(c_51,negated_conjecture,
m2_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f391]) ).
cnf(c_52,negated_conjecture,
v18_waybel_0(sK4,sK3,sK2),
inference(cnf_transformation,[],[f390]) ).
cnf(c_53,negated_conjecture,
v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f389]) ).
cnf(c_54,negated_conjecture,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f388]) ).
cnf(c_55,negated_conjecture,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f387]) ).
cnf(c_56,negated_conjecture,
v3_lattice3(sK3),
inference(cnf_transformation,[],[f386]) ).
cnf(c_57,negated_conjecture,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f385]) ).
cnf(c_58,negated_conjecture,
v1_lattice3(sK3),
inference(cnf_transformation,[],[f384]) ).
cnf(c_59,negated_conjecture,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f383]) ).
cnf(c_60,negated_conjecture,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f382]) ).
cnf(c_61,negated_conjecture,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f381]) ).
cnf(c_62,negated_conjecture,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f380]) ).
cnf(c_63,negated_conjecture,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f379]) ).
cnf(c_64,negated_conjecture,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f378]) ).
cnf(c_65,negated_conjecture,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f377]) ).
cnf(c_66,negated_conjecture,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f376]) ).
cnf(c_67,negated_conjecture,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f375]) ).
cnf(c_68,negated_conjecture,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f374]) ).
cnf(c_118,plain,
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f454]) ).
cnf(c_128,plain,
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v2_lattice3(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f472]) ).
cnf(c_149,plain,
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f494]) ).
cnf(c_164,plain,
( ~ m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel34(X0,X1,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(k2_waybel34(X0,X1,X2))
| ~ v18_waybel_0(X2,X1,X0)
| ~ 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,k2_waybel34(X0,X1,X2),X2),X0,X1) ),
inference(cnf_transformation,[],[f686]) ).
cnf(c_167,plain,
( ~ r4_waybel_1(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| k1_yellow_0(X0,X2) = X1
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f519]) ).
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)
| m2_relset_1(k2_waybel34(X2,X1,X0),u1_struct_0(X2),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f526]) ).
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_2(k2_waybel34(X2,X1,X0),u1_struct_0(X2),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f525]) ).
cnf(c_173,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(k2_waybel34(X2,X1,X0)) ),
inference(cnf_transformation,[],[f524]) ).
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,[],[f530]) ).
cnf(c_178,plain,
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f531]) ).
cnf(c_213,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f566]) ).
cnf(c_318,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f670]) ).
cnf(c_322,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(X0))
| ~ 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)
| r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4)))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f674]) ).
cnf(c_341,plain,
( ~ l1_orders_2(sK2)
| l1_struct_0(sK2) ),
inference(instantiation,[status(thm)],[c_178]) ).
cnf(c_397,plain,
( ~ v1_xboole_0(u1_struct_0(sK2))
| ~ l1_struct_0(sK2)
| v3_struct_0(sK2) ),
inference(instantiation,[status(thm)],[c_213]) ).
cnf(c_399,plain,
( ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_struct_0(sK2) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_552,plain,
( ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(k2_waybel34(X0,X1,X2))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(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,k2_waybel34(X0,X1,X2),X2),X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_164,c_118,c_128,c_164]) ).
cnf(c_553,plain,
( ~ m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel34(X0,X1,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(k2_waybel34(X0,X1,X2))
| ~ v18_waybel_0(X2,X1,X0)
| ~ 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,k2_waybel34(X0,X1,X2),X2),X0,X1) ),
inference(renaming,[status(thm)],[c_552]) ).
cnf(c_7998,plain,
( X0 != sK2
| X1 != sK3
| X2 != sK4
| ~ m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel34(X0,X1,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(k2_waybel34(X0,X1,X2))
| ~ 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,k2_waybel34(X0,X1,X2),X2),X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_52,c_553]) ).
cnf(c_7999,plain,
( ~ m2_relset_1(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m2_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_1(k2_waybel34(sK2,sK3,sK4))
| ~ v1_funct_1(sK4)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK3)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK3)
| v3_waybel_1(k1_waybel_1(sK2,sK3,k2_waybel34(sK2,sK3,sK4),sK4),sK2,sK3) ),
inference(unflattening,[status(thm)],[c_7998]) ).
cnf(c_8000,plain,
( ~ m2_relset_1(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_1(k2_waybel34(sK2,sK3,sK4))
| v3_waybel_1(k1_waybel_1(sK2,sK3,k2_waybel34(sK2,sK3,sK4),sK4),sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_7999,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_7999]) ).
cnf(c_16106,plain,
X0 = X0,
theory(equality) ).
cnf(c_16108,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_19785,plain,
l1_struct_0(sK3),
inference(superposition,[status(thm)],[c_55,c_178]) ).
cnf(c_19871,plain,
( ~ v1_lattice3(sK3)
| ~ v3_struct_0(sK3) ),
inference(superposition,[status(thm)],[c_55,c_118]) ).
cnf(c_19878,plain,
~ v3_struct_0(sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_19871,c_58]) ).
cnf(c_19967,plain,
m1_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2)),
inference(superposition,[status(thm)],[c_51,c_318]) ).
cnf(c_21545,plain,
( k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5) != X0
| k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,sK5))) != X0
| k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5) = k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,sK5))) ),
inference(instantiation,[status(thm)],[c_16108]) ).
cnf(c_22569,plain,
( ~ m1_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK2)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK3)
| v1_funct_1(k2_waybel34(sK2,sK3,sK4)) ),
inference(superposition,[status(thm)],[c_53,c_173]) ).
cnf(c_22574,plain,
v1_funct_1(k2_waybel34(sK2,sK3,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_22569,c_61,c_68,c_60,c_67,c_59,c_66,c_58,c_65,c_57,c_64,c_55,c_62,c_54,c_19967]) ).
cnf(c_23223,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))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ l1_struct_0(X2)
| m1_subset_1(k7_yellow_2(u1_struct_0(X1),X2,X0,X3),u1_struct_0(X2))
| v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X2) ),
inference(instantiation,[status(thm)],[c_177]) ).
cnf(c_23905,plain,
( ~ v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK2)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK3)
| m2_relset_1(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_171]) ).
cnf(c_24028,plain,
( ~ v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK2)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK3)
| v1_funct_2(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_172]) ).
cnf(c_24190,plain,
( ~ v3_waybel_1(k1_waybel_1(sK2,X0,X1,X2),sK2,X0)
| ~ m2_relset_1(X1,u1_struct_0(sK2),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK2))
| ~ v1_funct_2(X1,u1_struct_0(sK2),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK2))
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| r4_waybel_1(X0,k7_yellow_2(u1_struct_0(sK2),X0,X1,sK5),k5_pre_topc(X0,sK2,X2,k6_waybel_0(sK2,sK5)))
| v3_struct_0(X0)
| v3_struct_0(sK2) ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_25968,plain,
( ~ m2_relset_1(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3))
| m1_relset_1(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_318]) ).
cnf(c_26201,plain,
( k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5) != k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5)
| k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,sK5))) != k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5)
| k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5) = k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,sK5))) ),
inference(instantiation,[status(thm)],[c_21545]) ).
cnf(c_26202,plain,
k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5) = k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5),
inference(instantiation,[status(thm)],[c_16106]) ).
cnf(c_26582,plain,
( ~ v3_waybel_1(k1_waybel_1(sK2,sK3,k2_waybel34(sK2,sK3,sK4),X0),sK2,sK3)
| ~ m2_relset_1(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m2_relset_1(X0,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(X0,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_1(k2_waybel34(sK2,sK3,sK4))
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK3)
| r4_waybel_1(sK3,k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5),k5_pre_topc(sK3,sK2,X0,k6_waybel_0(sK2,sK5)))
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_24190]) ).
cnf(c_35054,plain,
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(X1))
| ~ m1_relset_1(X0,u1_struct_0(sK2),u1_struct_0(X1))
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ v1_funct_1(X0)
| ~ l1_struct_0(X1)
| m1_subset_1(k7_yellow_2(u1_struct_0(sK2),X1,X0,sK5),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(sK2))
| v3_struct_0(X1) ),
inference(instantiation,[status(thm)],[c_23223]) ).
cnf(c_38528,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_1(k2_waybel34(sK2,sK3,sK4))
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ l1_struct_0(sK3)
| m1_subset_1(k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5),u1_struct_0(sK3))
| v1_xboole_0(u1_struct_0(sK2))
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_35054]) ).
cnf(c_42083,plain,
( ~ v3_waybel_1(k1_waybel_1(sK2,sK3,k2_waybel34(sK2,sK3,sK4),sK4),sK2,sK3)
| ~ m2_relset_1(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m2_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_1(k2_waybel34(sK2,sK3,sK4))
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK3)
| r4_waybel_1(sK3,k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5),k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,sK5)))
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_26582]) ).
cnf(c_53167,plain,
( ~ r4_waybel_1(sK3,k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5),X0)
| ~ m1_subset_1(k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5),u1_struct_0(sK3))
| ~ l1_orders_2(sK3)
| k1_yellow_0(sK3,X0) = k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5)
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_167]) ).
cnf(c_82721,plain,
( ~ r4_waybel_1(sK3,k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5),k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,sK5)))
| ~ m1_subset_1(k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5),u1_struct_0(sK3))
| ~ l1_orders_2(sK3)
| k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,sK5))) = k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5)
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_53167]) ).
cnf(c_82722,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_82721,c_42083,c_38528,c_26202,c_26201,c_25968,c_24028,c_23905,c_22574,c_19967,c_19878,c_19785,c_8000,c_49,c_399,c_397,c_51,c_53,c_341,c_50,c_54,c_55,c_57,c_58,c_59,c_60,c_61,c_62,c_64,c_65,c_66,c_67,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT353+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Thu Aug 24 05:50:11 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.38 Running first-order theorem proving
% 0.15/0.38 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 23.77/4.07 % SZS status Started for theBenchmark.p
% 23.77/4.07 % SZS status Theorem for theBenchmark.p
% 23.77/4.07
% 23.77/4.07 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 23.77/4.07
% 23.77/4.07 ------ iProver source info
% 23.77/4.07
% 23.77/4.07 git: date: 2023-05-31 18:12:56 +0000
% 23.77/4.07 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 23.77/4.07 git: non_committed_changes: false
% 23.77/4.07 git: last_make_outside_of_git: false
% 23.77/4.07
% 23.77/4.07 ------ Parsing...
% 23.77/4.07 ------ Clausification by vclausify_rel & Parsing by iProver...
% 23.77/4.07
% 23.77/4.07 ------ Preprocessing... sup_sim: 1 sf_s rm: 110 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
% 23.77/4.07
% 23.77/4.07 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.77/4.07
% 23.77/4.07 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 23.77/4.07 ------ Proving...
% 23.77/4.07 ------ Problem Properties
% 23.77/4.07
% 23.77/4.07
% 23.77/4.07 clauses 134
% 23.77/4.07 conjectures 19
% 23.77/4.07 EPR 55
% 23.77/4.07 Horn 90
% 23.77/4.07 unary 49
% 23.77/4.07 binary 17
% 23.77/4.07 lits 607
% 23.77/4.07 lits eq 12
% 23.77/4.07 fd_pure 0
% 23.77/4.07 fd_pseudo 0
% 23.77/4.07 fd_cond 2
% 23.77/4.07 fd_pseudo_cond 3
% 23.77/4.07 AC symbols 0
% 23.77/4.07
% 23.77/4.07 ------ Schedule dynamic 5 is on
% 23.77/4.07
% 23.77/4.07 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 23.77/4.07
% 23.77/4.07
% 23.77/4.07 ------
% 23.77/4.07 Current options:
% 23.77/4.07 ------
% 23.77/4.07
% 23.77/4.07
% 23.77/4.07
% 23.77/4.07
% 23.77/4.07 ------ Proving...
% 23.77/4.07
% 23.77/4.07
% 23.77/4.07 % SZS status Theorem for theBenchmark.p
% 23.77/4.07
% 23.77/4.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.77/4.07
% 23.77/4.08
%------------------------------------------------------------------------------