TSTP Solution File: LAT356+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT356+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 16:20:04 EST 2010
% Result : Theorem 1.45s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 10
% Syntax : Number of formulae : 99 ( 11 unt; 0 def)
% Number of atoms : 925 ( 56 equ)
% Maximal formula atoms : 72 ( 9 avg)
% Number of connectives : 1376 ( 550 ~; 599 |; 198 &)
% ( 2 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 107 ( 0 sgn 71 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(18,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_relat_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v2_funct_1(k7_grcat_1(X1))
& ~ v1_xboole_0(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v11_quantal1(k7_grcat_1(X1))
& v5_orders_3(k7_grcat_1(X1),X1,X1)
& v17_waybel_0(k7_grcat_1(X1),X1,X1)
& v18_waybel_0(k7_grcat_1(X1),X1,X1)
& v19_waybel_0(k7_grcat_1(X1),X1,X1)
& v20_waybel_0(k7_grcat_1(X1),X1,X1)
& v21_waybel_0(k7_grcat_1(X1),X1,X1)
& v22_waybel_0(k7_grcat_1(X1),X1,X1)
& v23_waybel_0(k7_grcat_1(X1),X1,X1)
& v6_waybel_1(k7_grcat_1(X1),X1)
& v7_waybel_1(k7_grcat_1(X1),X1)
& v8_waybel_1(k7_grcat_1(X1),X1) ) ),
file('/tmp/tmp6J4R2K/sel_LAT356+1.p_1',fc4_waybel10) ).
fof(55,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v18_waybel_0(X3,X2,X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X4 = k2_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) ) ) ) ) ) ),
file('/tmp/tmp6J4R2K/sel_LAT356+1.p_1',d2_waybel34) ).
fof(61,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1) ),
file('/tmp/tmp6J4R2K/sel_LAT356+1.p_1',t6_waybel34) ).
fof(74,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
& k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1) ) ),
file('/tmp/tmp6J4R2K/sel_LAT356+1.p_1',t7_waybel34) ).
fof(83,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/tmp/tmp6J4R2K/sel_LAT356+1.p_1',cc1_lattice3) ).
fof(84,axiom,
! [X1] :
( l1_struct_0(X1)
=> ( v1_funct_1(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1)) ) ),
file('/tmp/tmp6J4R2K/sel_LAT356+1.p_1',dt_k7_grcat_1) ).
fof(86,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v3_lattice3(X1) )
=> ( ~ v3_struct_0(X1)
& v1_lattice3(X1)
& v2_lattice3(X1) ) ) ),
file('/tmp/tmp6J4R2K/sel_LAT356+1.p_1',cc1_yellow_0) ).
fof(87,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v17_waybel_0(X3,X1,X2) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( X4 = k1_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2) ) ) ) ) ) ),
file('/tmp/tmp6J4R2K/sel_LAT356+1.p_1',d1_waybel34) ).
fof(115,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_relat_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v23_waybel_0(k7_grcat_1(X1),X1,X1) ) ),
file('/tmp/tmp6J4R2K/sel_LAT356+1.p_1',fc2_waybel_1) ).
fof(120,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/tmp/tmp6J4R2K/sel_LAT356+1.p_1',dt_l1_orders_2) ).
fof(131,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
& k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1) ) ),
inference(assume_negation,[status(cth)],[74]) ).
fof(140,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_relat_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v2_funct_1(k7_grcat_1(X1))
& ~ v1_xboole_0(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v11_quantal1(k7_grcat_1(X1))
& v5_orders_3(k7_grcat_1(X1),X1,X1)
& v17_waybel_0(k7_grcat_1(X1),X1,X1)
& v18_waybel_0(k7_grcat_1(X1),X1,X1)
& v19_waybel_0(k7_grcat_1(X1),X1,X1)
& v20_waybel_0(k7_grcat_1(X1),X1,X1)
& v21_waybel_0(k7_grcat_1(X1),X1,X1)
& v22_waybel_0(k7_grcat_1(X1),X1,X1)
& v23_waybel_0(k7_grcat_1(X1),X1,X1)
& v6_waybel_1(k7_grcat_1(X1),X1)
& v7_waybel_1(k7_grcat_1(X1),X1)
& v8_waybel_1(k7_grcat_1(X1),X1) ) ),
inference(fof_simplification,[status(thm)],[18,theory(equality)]) ).
fof(153,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1) ),
inference(fof_simplification,[status(thm)],[61,theory(equality)]) ).
fof(161,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[83,theory(equality)]) ).
fof(163,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v3_lattice3(X1) )
=> ( ~ v3_struct_0(X1)
& v1_lattice3(X1)
& v2_lattice3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[86,theory(equality)]) ).
fof(284,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1)
| ( v1_relat_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v2_funct_1(k7_grcat_1(X1))
& ~ v1_xboole_0(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v11_quantal1(k7_grcat_1(X1))
& v5_orders_3(k7_grcat_1(X1),X1,X1)
& v17_waybel_0(k7_grcat_1(X1),X1,X1)
& v18_waybel_0(k7_grcat_1(X1),X1,X1)
& v19_waybel_0(k7_grcat_1(X1),X1,X1)
& v20_waybel_0(k7_grcat_1(X1),X1,X1)
& v21_waybel_0(k7_grcat_1(X1),X1,X1)
& v22_waybel_0(k7_grcat_1(X1),X1,X1)
& v23_waybel_0(k7_grcat_1(X1),X1,X1)
& v6_waybel_1(k7_grcat_1(X1),X1)
& v7_waybel_1(k7_grcat_1(X1),X1)
& v8_waybel_1(k7_grcat_1(X1),X1) ) ),
inference(fof_nnf,[status(thm)],[140]) ).
fof(285,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2)
| ( v1_relat_1(k7_grcat_1(X2))
& v1_funct_1(k7_grcat_1(X2))
& v2_funct_1(k7_grcat_1(X2))
& ~ v1_xboole_0(k7_grcat_1(X2))
& v1_funct_2(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
& v1_partfun1(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
& v11_quantal1(k7_grcat_1(X2))
& v5_orders_3(k7_grcat_1(X2),X2,X2)
& v17_waybel_0(k7_grcat_1(X2),X2,X2)
& v18_waybel_0(k7_grcat_1(X2),X2,X2)
& v19_waybel_0(k7_grcat_1(X2),X2,X2)
& v20_waybel_0(k7_grcat_1(X2),X2,X2)
& v21_waybel_0(k7_grcat_1(X2),X2,X2)
& v22_waybel_0(k7_grcat_1(X2),X2,X2)
& v23_waybel_0(k7_grcat_1(X2),X2,X2)
& v6_waybel_1(k7_grcat_1(X2),X2)
& v7_waybel_1(k7_grcat_1(X2),X2)
& v8_waybel_1(k7_grcat_1(X2),X2) ) ),
inference(variable_rename,[status(thm)],[284]) ).
fof(286,plain,
! [X2] :
( ( v1_relat_1(k7_grcat_1(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v1_funct_1(k7_grcat_1(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v2_funct_1(k7_grcat_1(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( ~ v1_xboole_0(k7_grcat_1(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v1_funct_2(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v1_partfun1(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v11_quantal1(k7_grcat_1(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v5_orders_3(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v17_waybel_0(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v18_waybel_0(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v19_waybel_0(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v20_waybel_0(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v21_waybel_0(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v22_waybel_0(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v23_waybel_0(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v6_waybel_1(k7_grcat_1(X2),X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v7_waybel_1(k7_grcat_1(X2),X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v8_waybel_1(k7_grcat_1(X2),X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[285]) ).
cnf(295,plain,
( v3_struct_0(X1)
| v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[286]) ).
cnf(296,plain,
( v3_struct_0(X1)
| v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[286]) ).
fof(490,plain,
! [X1] :
( ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ! [X2] :
( ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v18_waybel_0(X3,X2,X1)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ( ( X4 != k2_waybel34(X1,X2,X3)
| v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) )
& ( ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2)
| X4 = k2_waybel34(X1,X2,X3) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(491,plain,
! [X5] :
( ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5)
| ! [X6] :
( ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ! [X7] :
( ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v18_waybel_0(X7,X6,X5)
| ! [X8] :
( ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X8,u1_struct_0(X5),u1_struct_0(X6))
| ( ( X8 != k2_waybel34(X5,X6,X7)
| v3_waybel_1(k1_waybel_1(X5,X6,X8,X7),X5,X6) )
& ( ~ v3_waybel_1(k1_waybel_1(X5,X6,X8,X7),X5,X6)
| X8 = k2_waybel34(X5,X6,X7) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[490]) ).
fof(492,plain,
! [X5,X6,X7,X8] :
( ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X8,u1_struct_0(X5),u1_struct_0(X6))
| ( ( X8 != k2_waybel34(X5,X6,X7)
| v3_waybel_1(k1_waybel_1(X5,X6,X8,X7),X5,X6) )
& ( ~ v3_waybel_1(k1_waybel_1(X5,X6,X8,X7),X5,X6)
| X8 = k2_waybel34(X5,X6,X7) ) )
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v18_waybel_0(X7,X6,X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) ),
inference(shift_quantors,[status(thm)],[491]) ).
fof(493,plain,
! [X5,X6,X7,X8] :
( ( X8 != k2_waybel34(X5,X6,X7)
| v3_waybel_1(k1_waybel_1(X5,X6,X8,X7),X5,X6)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v18_waybel_0(X7,X6,X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) )
& ( ~ v3_waybel_1(k1_waybel_1(X5,X6,X8,X7),X5,X6)
| X8 = k2_waybel34(X5,X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v18_waybel_0(X7,X6,X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) ) ),
inference(distribute,[status(thm)],[492]) ).
cnf(494,plain,
( X4 = k2_waybel34(X1,X2,X3)
| ~ 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(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ v18_waybel_0(X3,X2,X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) ),
inference(split_conjunct,[status(thm)],[493]) ).
fof(536,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1) ),
inference(fof_nnf,[status(thm)],[153]) ).
fof(537,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_orders_2(X2)
| v3_waybel_1(k1_waybel_1(X2,X2,k7_grcat_1(X2),k7_grcat_1(X2)),X2,X2) ),
inference(variable_rename,[status(thm)],[536]) ).
cnf(538,plain,
( v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[537]) ).
fof(597,negated_conjecture,
? [X1] :
( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& ( k1_waybel34(X1,X1,k7_grcat_1(X1)) != k7_grcat_1(X1)
| k2_waybel34(X1,X1,k7_grcat_1(X1)) != k7_grcat_1(X1) ) ),
inference(fof_nnf,[status(thm)],[131]) ).
fof(598,negated_conjecture,
? [X2] :
( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2)
& ( k1_waybel34(X2,X2,k7_grcat_1(X2)) != k7_grcat_1(X2)
| k2_waybel34(X2,X2,k7_grcat_1(X2)) != k7_grcat_1(X2) ) ),
inference(variable_rename,[status(thm)],[597]) ).
fof(599,negated_conjecture,
( v2_orders_2(esk16_0)
& v3_orders_2(esk16_0)
& v4_orders_2(esk16_0)
& v1_lattice3(esk16_0)
& v2_lattice3(esk16_0)
& v3_lattice3(esk16_0)
& l1_orders_2(esk16_0)
& ( k1_waybel34(esk16_0,esk16_0,k7_grcat_1(esk16_0)) != k7_grcat_1(esk16_0)
| k2_waybel34(esk16_0,esk16_0,k7_grcat_1(esk16_0)) != k7_grcat_1(esk16_0) ) ),
inference(skolemize,[status(esa)],[598]) ).
cnf(600,negated_conjecture,
( k2_waybel34(esk16_0,esk16_0,k7_grcat_1(esk16_0)) != k7_grcat_1(esk16_0)
| k1_waybel34(esk16_0,esk16_0,k7_grcat_1(esk16_0)) != k7_grcat_1(esk16_0) ),
inference(split_conjunct,[status(thm)],[599]) ).
cnf(601,negated_conjecture,
l1_orders_2(esk16_0),
inference(split_conjunct,[status(thm)],[599]) ).
cnf(602,negated_conjecture,
v3_lattice3(esk16_0),
inference(split_conjunct,[status(thm)],[599]) ).
cnf(604,negated_conjecture,
v1_lattice3(esk16_0),
inference(split_conjunct,[status(thm)],[599]) ).
cnf(605,negated_conjecture,
v4_orders_2(esk16_0),
inference(split_conjunct,[status(thm)],[599]) ).
cnf(606,negated_conjecture,
v3_orders_2(esk16_0),
inference(split_conjunct,[status(thm)],[599]) ).
cnf(607,negated_conjecture,
v2_orders_2(esk16_0),
inference(split_conjunct,[status(thm)],[599]) ).
fof(642,plain,
! [X1] :
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[161]) ).
fof(643,plain,
! [X2] :
( ~ l1_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v3_struct_0(X2) ),
inference(variable_rename,[status(thm)],[642]) ).
cnf(644,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[643]) ).
fof(645,plain,
! [X1] :
( ~ l1_struct_0(X1)
| ( v1_funct_1(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1)) ) ),
inference(fof_nnf,[status(thm)],[84]) ).
fof(646,plain,
! [X2] :
( ~ l1_struct_0(X2)
| ( v1_funct_1(k7_grcat_1(X2))
& v1_funct_2(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
& m2_relset_1(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2)) ) ),
inference(variable_rename,[status(thm)],[645]) ).
fof(647,plain,
! [X2] :
( ( v1_funct_1(k7_grcat_1(X2))
| ~ l1_struct_0(X2) )
& ( v1_funct_2(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
| ~ l1_struct_0(X2) )
& ( m2_relset_1(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
| ~ l1_struct_0(X2) ) ),
inference(distribute,[status(thm)],[646]) ).
cnf(648,plain,
( m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[647]) ).
fof(666,plain,
! [X1] :
( ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ( ~ v3_struct_0(X1)
& v1_lattice3(X1)
& v2_lattice3(X1) ) ),
inference(fof_nnf,[status(thm)],[163]) ).
fof(667,plain,
! [X2] :
( ~ l1_orders_2(X2)
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ( ~ v3_struct_0(X2)
& v1_lattice3(X2)
& v2_lattice3(X2) ) ),
inference(variable_rename,[status(thm)],[666]) ).
fof(668,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_lattice3(X2)
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v2_lattice3(X2)
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[667]) ).
cnf(669,plain,
( v3_struct_0(X1)
| v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[668]) ).
cnf(670,plain,
( v3_struct_0(X1)
| v1_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[668]) ).
fof(672,plain,
! [X1] :
( ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ! [X2] :
( ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v17_waybel_0(X3,X1,X2)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ( ( X4 != k1_waybel34(X1,X2,X3)
| v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2) )
& ( ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| X4 = k1_waybel34(X1,X2,X3) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[87]) ).
fof(673,plain,
! [X5] :
( ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5)
| ! [X6] :
( ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ! [X7] :
( ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v17_waybel_0(X7,X5,X6)
| ! [X8] :
( ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X5))
| ( ( X8 != k1_waybel34(X5,X6,X7)
| v3_waybel_1(k1_waybel_1(X5,X6,X7,X8),X5,X6) )
& ( ~ v3_waybel_1(k1_waybel_1(X5,X6,X7,X8),X5,X6)
| X8 = k1_waybel34(X5,X6,X7) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[672]) ).
fof(674,plain,
! [X5,X6,X7,X8] :
( ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X5))
| ( ( X8 != k1_waybel34(X5,X6,X7)
| v3_waybel_1(k1_waybel_1(X5,X6,X7,X8),X5,X6) )
& ( ~ v3_waybel_1(k1_waybel_1(X5,X6,X7,X8),X5,X6)
| X8 = k1_waybel34(X5,X6,X7) ) )
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v17_waybel_0(X7,X5,X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) ),
inference(shift_quantors,[status(thm)],[673]) ).
fof(675,plain,
! [X5,X6,X7,X8] :
( ( X8 != k1_waybel34(X5,X6,X7)
| v3_waybel_1(k1_waybel_1(X5,X6,X7,X8),X5,X6)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v17_waybel_0(X7,X5,X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) )
& ( ~ v3_waybel_1(k1_waybel_1(X5,X6,X7,X8),X5,X6)
| X8 = k1_waybel34(X5,X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v17_waybel_0(X7,X5,X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) ) ),
inference(distribute,[status(thm)],[674]) ).
cnf(676,plain,
( X4 = k1_waybel34(X1,X2,X3)
| ~ 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(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ v17_waybel_0(X3,X1,X2)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2) ),
inference(split_conjunct,[status(thm)],[675]) ).
fof(856,plain,
! [X1] :
( ~ l1_orders_2(X1)
| ( v1_relat_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v23_waybel_0(k7_grcat_1(X1),X1,X1) ) ),
inference(fof_nnf,[status(thm)],[115]) ).
fof(857,plain,
! [X2] :
( ~ l1_orders_2(X2)
| ( v1_relat_1(k7_grcat_1(X2))
& v1_funct_1(k7_grcat_1(X2))
& v1_funct_2(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
& v23_waybel_0(k7_grcat_1(X2),X2,X2) ) ),
inference(variable_rename,[status(thm)],[856]) ).
fof(858,plain,
! [X2] :
( ( v1_relat_1(k7_grcat_1(X2))
| ~ l1_orders_2(X2) )
& ( v1_funct_1(k7_grcat_1(X2))
| ~ l1_orders_2(X2) )
& ( v1_funct_2(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
| ~ l1_orders_2(X2) )
& ( v23_waybel_0(k7_grcat_1(X2),X2,X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[857]) ).
cnf(860,plain,
( v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[858]) ).
cnf(861,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[858]) ).
fof(902,plain,
! [X1] :
( ~ l1_orders_2(X1)
| l1_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[120]) ).
fof(903,plain,
! [X2] :
( ~ l1_orders_2(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[902]) ).
cnf(904,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[903]) ).
cnf(961,negated_conjecture,
( ~ v3_struct_0(esk16_0)
| ~ l1_orders_2(esk16_0) ),
inference(spm,[status(thm)],[644,604,theory(equality)]) ).
cnf(963,negated_conjecture,
( ~ v3_struct_0(esk16_0)
| $false ),
inference(rw,[status(thm)],[961,601,theory(equality)]) ).
cnf(964,negated_conjecture,
~ v3_struct_0(esk16_0),
inference(cn,[status(thm)],[963,theory(equality)]) ).
cnf(1483,plain,
( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(k7_grcat_1(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) ),
inference(spm,[status(thm)],[494,538,theory(equality)]) ).
cnf(1487,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(k7_grcat_1(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) ),
inference(spm,[status(thm)],[676,538,theory(equality)]) ).
cnf(8344,plain,
( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(k7_grcat_1(X1))
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[1483,670]) ).
cnf(8345,plain,
( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(k7_grcat_1(X1))
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[8344,669]) ).
cnf(8346,plain,
( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[8345,861]) ).
cnf(8347,plain,
( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[8346,860]) ).
cnf(8348,plain,
( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[8347,295]) ).
cnf(8350,plain,
( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_struct_0(X1) ),
inference(spm,[status(thm)],[8348,648,theory(equality)]) ).
cnf(8355,plain,
( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[8350,904]) ).
cnf(8407,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(k7_grcat_1(X1))
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[1487,670]) ).
cnf(8408,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(k7_grcat_1(X1))
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[8407,669]) ).
cnf(8409,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[8408,861]) ).
cnf(8410,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[8409,860]) ).
cnf(8411,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[8410,296]) ).
cnf(8413,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_struct_0(X1) ),
inference(spm,[status(thm)],[8411,648,theory(equality)]) ).
cnf(8414,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[8413,904]) ).
cnf(8415,negated_conjecture,
( v3_struct_0(esk16_0)
| k2_waybel34(esk16_0,esk16_0,k7_grcat_1(esk16_0)) != k7_grcat_1(esk16_0)
| ~ l1_orders_2(esk16_0)
| ~ v3_lattice3(esk16_0)
| ~ v4_orders_2(esk16_0)
| ~ v3_orders_2(esk16_0)
| ~ v2_orders_2(esk16_0) ),
inference(spm,[status(thm)],[600,8414,theory(equality)]) ).
cnf(8434,negated_conjecture,
( v3_struct_0(esk16_0)
| k2_waybel34(esk16_0,esk16_0,k7_grcat_1(esk16_0)) != k7_grcat_1(esk16_0)
| $false
| ~ v3_lattice3(esk16_0)
| ~ v4_orders_2(esk16_0)
| ~ v3_orders_2(esk16_0)
| ~ v2_orders_2(esk16_0) ),
inference(rw,[status(thm)],[8415,601,theory(equality)]) ).
cnf(8435,negated_conjecture,
( v3_struct_0(esk16_0)
| k2_waybel34(esk16_0,esk16_0,k7_grcat_1(esk16_0)) != k7_grcat_1(esk16_0)
| $false
| $false
| ~ v4_orders_2(esk16_0)
| ~ v3_orders_2(esk16_0)
| ~ v2_orders_2(esk16_0) ),
inference(rw,[status(thm)],[8434,602,theory(equality)]) ).
cnf(8436,negated_conjecture,
( v3_struct_0(esk16_0)
| k2_waybel34(esk16_0,esk16_0,k7_grcat_1(esk16_0)) != k7_grcat_1(esk16_0)
| $false
| $false
| $false
| ~ v3_orders_2(esk16_0)
| ~ v2_orders_2(esk16_0) ),
inference(rw,[status(thm)],[8435,605,theory(equality)]) ).
cnf(8437,negated_conjecture,
( v3_struct_0(esk16_0)
| k2_waybel34(esk16_0,esk16_0,k7_grcat_1(esk16_0)) != k7_grcat_1(esk16_0)
| $false
| $false
| $false
| $false
| ~ v2_orders_2(esk16_0) ),
inference(rw,[status(thm)],[8436,606,theory(equality)]) ).
cnf(8438,negated_conjecture,
( v3_struct_0(esk16_0)
| k2_waybel34(esk16_0,esk16_0,k7_grcat_1(esk16_0)) != k7_grcat_1(esk16_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[8437,607,theory(equality)]) ).
cnf(8439,negated_conjecture,
( v3_struct_0(esk16_0)
| k2_waybel34(esk16_0,esk16_0,k7_grcat_1(esk16_0)) != k7_grcat_1(esk16_0) ),
inference(cn,[status(thm)],[8438,theory(equality)]) ).
cnf(8440,negated_conjecture,
k2_waybel34(esk16_0,esk16_0,k7_grcat_1(esk16_0)) != k7_grcat_1(esk16_0),
inference(sr,[status(thm)],[8439,964,theory(equality)]) ).
cnf(8538,negated_conjecture,
( v3_struct_0(esk16_0)
| ~ l1_orders_2(esk16_0)
| ~ v3_lattice3(esk16_0)
| ~ v4_orders_2(esk16_0)
| ~ v3_orders_2(esk16_0)
| ~ v2_orders_2(esk16_0) ),
inference(spm,[status(thm)],[8440,8355,theory(equality)]) ).
cnf(8539,negated_conjecture,
( v3_struct_0(esk16_0)
| $false
| ~ v3_lattice3(esk16_0)
| ~ v4_orders_2(esk16_0)
| ~ v3_orders_2(esk16_0)
| ~ v2_orders_2(esk16_0) ),
inference(rw,[status(thm)],[8538,601,theory(equality)]) ).
cnf(8540,negated_conjecture,
( v3_struct_0(esk16_0)
| $false
| $false
| ~ v4_orders_2(esk16_0)
| ~ v3_orders_2(esk16_0)
| ~ v2_orders_2(esk16_0) ),
inference(rw,[status(thm)],[8539,602,theory(equality)]) ).
cnf(8541,negated_conjecture,
( v3_struct_0(esk16_0)
| $false
| $false
| $false
| ~ v3_orders_2(esk16_0)
| ~ v2_orders_2(esk16_0) ),
inference(rw,[status(thm)],[8540,605,theory(equality)]) ).
cnf(8542,negated_conjecture,
( v3_struct_0(esk16_0)
| $false
| $false
| $false
| $false
| ~ v2_orders_2(esk16_0) ),
inference(rw,[status(thm)],[8541,606,theory(equality)]) ).
cnf(8543,negated_conjecture,
( v3_struct_0(esk16_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[8542,607,theory(equality)]) ).
cnf(8544,negated_conjecture,
v3_struct_0(esk16_0),
inference(cn,[status(thm)],[8543,theory(equality)]) ).
cnf(8545,negated_conjecture,
$false,
inference(sr,[status(thm)],[8544,964,theory(equality)]) ).
cnf(8546,negated_conjecture,
$false,
8545,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT356+1.p
% --creating new selector for []
% -running prover on /tmp/tmp6J4R2K/sel_LAT356+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT356+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT356+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT356+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------