TSTP Solution File: LAT351+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT351+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 16:08:55 EST 2010
% Result : Theorem 9.90s
% Output : CNFRefutation 9.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 78
% Number of leaves : 10
% Syntax : Number of formulae : 139 ( 27 unt; 0 def)
% Number of atoms : 1384 ( 29 equ)
% Maximal formula atoms : 112 ( 9 avg)
% Number of connectives : 2097 ( 852 ~; 972 |; 258 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 10 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 98 ( 7 sgn 47 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1] :
( v1_orders_2(k2_yellow_1(X1))
& l1_orders_2(k2_yellow_1(X1)) ),
file('/tmp/tmp22EWPZ/sel_LAT351+1.p_1',dt_k2_yellow_1) ).
fof(25,axiom,
! [X1] :
( v1_orders_2(k3_yellow_1(X1))
& l1_orders_2(k3_yellow_1(X1)) ),
file('/tmp/tmp22EWPZ/sel_LAT351+1.p_1',dt_k3_yellow_1) ).
fof(27,axiom,
! [X1] : k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
file('/tmp/tmp22EWPZ/sel_LAT351+1.p_1',t10_waybel22) ).
fof(53,axiom,
! [X1] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),k1_waybel22(X1)),
file('/tmp/tmp22EWPZ/sel_LAT351+1.p_1',t16_waybel22) ).
fof(54,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_lattice3(X1)
& v2_yellow_0(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
file('/tmp/tmp22EWPZ/sel_LAT351+1.p_1',fc2_waybel16) ).
fof(55,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X1))) ) ),
file('/tmp/tmp22EWPZ/sel_LAT351+1.p_1',fc1_waybel22) ).
fof(72,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/tmp/tmp22EWPZ/sel_LAT351+1.p_1',cc2_lattice3) ).
fof(79,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3,X4] :
( ( r1_waybel22(X1,X3)
& r1_waybel22(X2,X4)
& k1_card_1(X3) = k1_card_1(X4) )
=> r5_waybel_1(X1,X2) ) ) ),
file('/tmp/tmp22EWPZ/sel_LAT351+1.p_1',t17_waybel22) ).
fof(94,axiom,
! [X1] :
( ~ v3_struct_0(k3_yellow_1(X1))
& v1_orders_2(k3_yellow_1(X1))
& v2_orders_2(k3_yellow_1(X1))
& v3_orders_2(k3_yellow_1(X1))
& v4_orders_2(k3_yellow_1(X1))
& v1_lattice3(k3_yellow_1(X1))
& v2_lattice3(k3_yellow_1(X1))
& v3_lattice3(k3_yellow_1(X1))
& v1_yellow_0(k3_yellow_1(X1))
& v2_yellow_0(k3_yellow_1(X1))
& v3_yellow_0(k3_yellow_1(X1))
& v24_waybel_0(k3_yellow_1(X1))
& v25_waybel_0(k3_yellow_1(X1))
& v2_waybel_1(k3_yellow_1(X1))
& v9_waybel_1(k3_yellow_1(X1))
& v10_waybel_1(k3_yellow_1(X1))
& v11_waybel_1(k3_yellow_1(X1))
& v2_waybel_3(k3_yellow_1(X1))
& v3_waybel_3(k3_yellow_1(X1))
& v1_waybel_8(k3_yellow_1(X1))
& v2_waybel_8(k3_yellow_1(X1)) ),
file('/tmp/tmp22EWPZ/sel_LAT351+1.p_1',fc14_waybel_8) ).
fof(104,conjecture,
! [X1,X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( r1_waybel22(X2,X3)
& k1_card_1(X3) = k1_card_1(X1) )
=> r5_waybel_1(X2,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))) ) ),
file('/tmp/tmp22EWPZ/sel_LAT351+1.p_1',t18_waybel22) ).
fof(122,negated_conjecture,
~ ! [X1,X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( r1_waybel22(X2,X3)
& k1_card_1(X3) = k1_card_1(X1) )
=> r5_waybel_1(X2,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))) ) ),
inference(assume_negation,[status(cth)],[104]) ).
fof(146,plain,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_lattice3(X1)
& v2_yellow_0(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[54,theory(equality)]) ).
fof(147,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[55,theory(equality)]) ).
fof(159,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[72,theory(equality)]) ).
fof(174,plain,
! [X1] :
( ~ v3_struct_0(k3_yellow_1(X1))
& v1_orders_2(k3_yellow_1(X1))
& v2_orders_2(k3_yellow_1(X1))
& v3_orders_2(k3_yellow_1(X1))
& v4_orders_2(k3_yellow_1(X1))
& v1_lattice3(k3_yellow_1(X1))
& v2_lattice3(k3_yellow_1(X1))
& v3_lattice3(k3_yellow_1(X1))
& v1_yellow_0(k3_yellow_1(X1))
& v2_yellow_0(k3_yellow_1(X1))
& v3_yellow_0(k3_yellow_1(X1))
& v24_waybel_0(k3_yellow_1(X1))
& v25_waybel_0(k3_yellow_1(X1))
& v2_waybel_1(k3_yellow_1(X1))
& v9_waybel_1(k3_yellow_1(X1))
& v10_waybel_1(k3_yellow_1(X1))
& v11_waybel_1(k3_yellow_1(X1))
& v2_waybel_3(k3_yellow_1(X1))
& v3_waybel_3(k3_yellow_1(X1))
& v1_waybel_8(k3_yellow_1(X1))
& v2_waybel_8(k3_yellow_1(X1)) ),
inference(fof_simplification,[status(thm)],[94,theory(equality)]) ).
fof(206,plain,
! [X2] :
( v1_orders_2(k2_yellow_1(X2))
& l1_orders_2(k2_yellow_1(X2)) ),
inference(variable_rename,[status(thm)],[4]) ).
cnf(207,plain,
l1_orders_2(k2_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[206]) ).
fof(333,plain,
! [X2] :
( v1_orders_2(k3_yellow_1(X2))
& l1_orders_2(k3_yellow_1(X2)) ),
inference(variable_rename,[status(thm)],[25]) ).
cnf(334,plain,
l1_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[333]) ).
fof(339,plain,
! [X2] : k1_card_1(k1_waybel22(X2)) = k1_card_1(X2),
inference(variable_rename,[status(thm)],[27]) ).
cnf(340,plain,
k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
inference(split_conjunct,[status(thm)],[339]) ).
fof(477,plain,
! [X2] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))),k1_waybel22(X2)),
inference(variable_rename,[status(thm)],[53]) ).
cnf(478,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),k1_waybel22(X1)),
inference(split_conjunct,[status(thm)],[477]) ).
fof(479,plain,
! [X1] :
( ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1)
| ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
inference(fof_nnf,[status(thm)],[146]) ).
fof(480,plain,
! [X2] :
( ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2)
| ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X2)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X2)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X2)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X2)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X2)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X2)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X2)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X2)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X2)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X2))) ) ),
inference(variable_rename,[status(thm)],[479]) ).
fof(481,plain,
! [X2] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v1_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v2_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v3_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v4_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v2_lattice3(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v3_lattice3(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v1_yellow_0(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v24_waybel_0(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[480]) ).
cnf(485,plain,
( v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[481]) ).
cnf(486,plain,
( v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[481]) ).
cnf(487,plain,
( v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[481]) ).
cnf(488,plain,
( v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[481]) ).
cnf(489,plain,
( v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[481]) ).
fof(492,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X1))) ) ),
inference(fof_nnf,[status(thm)],[147]) ).
fof(493,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X2)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X2)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X2)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X2)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X2)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X2)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X2)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X2)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X2)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X2)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X2)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X2)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X2)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X2))) ) ),
inference(variable_rename,[status(thm)],[492]) ).
fof(494,plain,
! [X2] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v2_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v3_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v4_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_yellow_0(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v2_yellow_0(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v3_yellow_0(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v24_waybel_0(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_lattice3(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v2_lattice3(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v3_lattice3(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[493]) ).
cnf(495,plain,
( v3_struct_0(X1)
| v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[494]) ).
cnf(498,plain,
( v3_struct_0(X1)
| v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[494]) ).
fof(580,plain,
! [X1] :
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[159]) ).
fof(581,plain,
! [X2] :
( ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v3_struct_0(X2) ),
inference(variable_rename,[status(thm)],[580]) ).
cnf(582,plain,
( ~ v3_struct_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[581]) ).
fof(615,plain,
! [X1] :
( ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1)
| ! [X2] :
( ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ v3_waybel_3(X2)
| ~ l1_orders_2(X2)
| ! [X3,X4] :
( ~ r1_waybel22(X1,X3)
| ~ r1_waybel22(X2,X4)
| k1_card_1(X3) != k1_card_1(X4)
| r5_waybel_1(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[79]) ).
fof(616,plain,
! [X5] :
( ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ v3_lattice3(X5)
| ~ v3_waybel_3(X5)
| ~ l1_orders_2(X5)
| ! [X6] :
( ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ v3_lattice3(X6)
| ~ v3_waybel_3(X6)
| ~ l1_orders_2(X6)
| ! [X7,X8] :
( ~ r1_waybel22(X5,X7)
| ~ r1_waybel22(X6,X8)
| k1_card_1(X7) != k1_card_1(X8)
| r5_waybel_1(X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[615]) ).
fof(617,plain,
! [X5,X6,X7,X8] :
( ~ r1_waybel22(X5,X7)
| ~ r1_waybel22(X6,X8)
| k1_card_1(X7) != k1_card_1(X8)
| r5_waybel_1(X5,X6)
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ v3_lattice3(X6)
| ~ v3_waybel_3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ v3_lattice3(X5)
| ~ v3_waybel_3(X5)
| ~ l1_orders_2(X5) ),
inference(shift_quantors,[status(thm)],[616]) ).
cnf(618,plain,
( r5_waybel_1(X1,X2)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(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(X2)
| ~ v3_waybel_3(X2)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| k1_card_1(X3) != k1_card_1(X4)
| ~ r1_waybel22(X2,X4)
| ~ r1_waybel22(X1,X3) ),
inference(split_conjunct,[status(thm)],[617]) ).
fof(721,plain,
! [X2] :
( ~ v3_struct_0(k3_yellow_1(X2))
& v1_orders_2(k3_yellow_1(X2))
& v2_orders_2(k3_yellow_1(X2))
& v3_orders_2(k3_yellow_1(X2))
& v4_orders_2(k3_yellow_1(X2))
& v1_lattice3(k3_yellow_1(X2))
& v2_lattice3(k3_yellow_1(X2))
& v3_lattice3(k3_yellow_1(X2))
& v1_yellow_0(k3_yellow_1(X2))
& v2_yellow_0(k3_yellow_1(X2))
& v3_yellow_0(k3_yellow_1(X2))
& v24_waybel_0(k3_yellow_1(X2))
& v25_waybel_0(k3_yellow_1(X2))
& v2_waybel_1(k3_yellow_1(X2))
& v9_waybel_1(k3_yellow_1(X2))
& v10_waybel_1(k3_yellow_1(X2))
& v11_waybel_1(k3_yellow_1(X2))
& v2_waybel_3(k3_yellow_1(X2))
& v3_waybel_3(k3_yellow_1(X2))
& v1_waybel_8(k3_yellow_1(X2))
& v2_waybel_8(k3_yellow_1(X2)) ),
inference(variable_rename,[status(thm)],[174]) ).
cnf(733,plain,
v2_yellow_0(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[721]) ).
cnf(736,plain,
v2_lattice3(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[721]) ).
cnf(738,plain,
v4_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[721]) ).
cnf(739,plain,
v3_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[721]) ).
cnf(740,plain,
v2_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[721]) ).
fof(781,negated_conjecture,
? [X1,X2] :
( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2)
& ? [X3] :
( r1_waybel22(X2,X3)
& k1_card_1(X3) = k1_card_1(X1)
& ~ r5_waybel_1(X2,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))) ) ),
inference(fof_nnf,[status(thm)],[122]) ).
fof(782,negated_conjecture,
? [X4,X5] :
( v2_orders_2(X5)
& v3_orders_2(X5)
& v4_orders_2(X5)
& v1_lattice3(X5)
& v2_lattice3(X5)
& v3_lattice3(X5)
& v3_waybel_3(X5)
& l1_orders_2(X5)
& ? [X6] :
( r1_waybel22(X5,X6)
& k1_card_1(X6) = k1_card_1(X4)
& ~ r5_waybel_1(X5,k2_yellow_1(k9_waybel_0(k3_yellow_1(X4)))) ) ),
inference(variable_rename,[status(thm)],[781]) ).
fof(783,negated_conjecture,
( v2_orders_2(esk26_0)
& v3_orders_2(esk26_0)
& v4_orders_2(esk26_0)
& v1_lattice3(esk26_0)
& v2_lattice3(esk26_0)
& v3_lattice3(esk26_0)
& v3_waybel_3(esk26_0)
& l1_orders_2(esk26_0)
& r1_waybel22(esk26_0,esk27_0)
& k1_card_1(esk27_0) = k1_card_1(esk25_0)
& ~ r5_waybel_1(esk26_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0)))) ),
inference(skolemize,[status(esa)],[782]) ).
cnf(784,negated_conjecture,
~ r5_waybel_1(esk26_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0)))),
inference(split_conjunct,[status(thm)],[783]) ).
cnf(785,negated_conjecture,
k1_card_1(esk27_0) = k1_card_1(esk25_0),
inference(split_conjunct,[status(thm)],[783]) ).
cnf(786,negated_conjecture,
r1_waybel22(esk26_0,esk27_0),
inference(split_conjunct,[status(thm)],[783]) ).
cnf(787,negated_conjecture,
l1_orders_2(esk26_0),
inference(split_conjunct,[status(thm)],[783]) ).
cnf(788,negated_conjecture,
v3_waybel_3(esk26_0),
inference(split_conjunct,[status(thm)],[783]) ).
cnf(789,negated_conjecture,
v3_lattice3(esk26_0),
inference(split_conjunct,[status(thm)],[783]) ).
cnf(790,negated_conjecture,
v2_lattice3(esk26_0),
inference(split_conjunct,[status(thm)],[783]) ).
cnf(791,negated_conjecture,
v1_lattice3(esk26_0),
inference(split_conjunct,[status(thm)],[783]) ).
cnf(792,negated_conjecture,
v4_orders_2(esk26_0),
inference(split_conjunct,[status(thm)],[783]) ).
cnf(793,negated_conjecture,
v3_orders_2(esk26_0),
inference(split_conjunct,[status(thm)],[783]) ).
cnf(794,negated_conjecture,
v2_orders_2(esk26_0),
inference(split_conjunct,[status(thm)],[783]) ).
cnf(1570,plain,
( v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[498,582]) ).
cnf(1576,plain,
( v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[495,582]) ).
cnf(1764,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(k1_waybel22(X2))
| ~ r1_waybel22(X1,X3)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_lattice3(X1)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[618,478,theory(equality)]) ).
cnf(1774,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ r1_waybel22(X1,X3)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_lattice3(X1)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ l1_orders_2(X1) ),
inference(rw,[status(thm)],[1764,340,theory(equality)]) ).
cnf(1775,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ r1_waybel22(X1,X3)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_lattice3(X1)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1)
| $false
| ~ l1_orders_2(X1) ),
inference(rw,[status(thm)],[1774,207,theory(equality)]) ).
cnf(1776,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ r1_waybel22(X1,X3)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_lattice3(X1)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(cn,[status(thm)],[1775,theory(equality)]) ).
cnf(5541,negated_conjecture,
( r5_waybel_1(esk26_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| k1_card_1(esk27_0) != k1_card_1(X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v3_waybel_3(esk26_0)
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v3_lattice3(esk26_0)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v2_lattice3(esk26_0)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v1_lattice3(esk26_0)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v4_orders_2(esk26_0)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v3_orders_2(esk26_0)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v2_orders_2(esk26_0)
| ~ l1_orders_2(esk26_0) ),
inference(spm,[status(thm)],[1776,786,theory(equality)]) ).
cnf(5543,negated_conjecture,
( r5_waybel_1(esk26_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| k1_card_1(esk27_0) != k1_card_1(X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v3_lattice3(esk26_0)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v2_lattice3(esk26_0)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v1_lattice3(esk26_0)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v4_orders_2(esk26_0)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v3_orders_2(esk26_0)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v2_orders_2(esk26_0)
| ~ l1_orders_2(esk26_0) ),
inference(rw,[status(thm)],[5541,788,theory(equality)]) ).
cnf(5544,negated_conjecture,
( r5_waybel_1(esk26_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| k1_card_1(esk27_0) != k1_card_1(X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v2_lattice3(esk26_0)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v1_lattice3(esk26_0)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v4_orders_2(esk26_0)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v3_orders_2(esk26_0)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v2_orders_2(esk26_0)
| ~ l1_orders_2(esk26_0) ),
inference(rw,[status(thm)],[5543,789,theory(equality)]) ).
cnf(5545,negated_conjecture,
( r5_waybel_1(esk26_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| k1_card_1(esk27_0) != k1_card_1(X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v1_lattice3(esk26_0)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v4_orders_2(esk26_0)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v3_orders_2(esk26_0)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v2_orders_2(esk26_0)
| ~ l1_orders_2(esk26_0) ),
inference(rw,[status(thm)],[5544,790,theory(equality)]) ).
cnf(5546,negated_conjecture,
( r5_waybel_1(esk26_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| k1_card_1(esk27_0) != k1_card_1(X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v4_orders_2(esk26_0)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v3_orders_2(esk26_0)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v2_orders_2(esk26_0)
| ~ l1_orders_2(esk26_0) ),
inference(rw,[status(thm)],[5545,791,theory(equality)]) ).
cnf(5547,negated_conjecture,
( r5_waybel_1(esk26_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| k1_card_1(esk27_0) != k1_card_1(X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v3_orders_2(esk26_0)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v2_orders_2(esk26_0)
| ~ l1_orders_2(esk26_0) ),
inference(rw,[status(thm)],[5546,792,theory(equality)]) ).
cnf(5548,negated_conjecture,
( r5_waybel_1(esk26_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| k1_card_1(esk27_0) != k1_card_1(X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v2_orders_2(esk26_0)
| ~ l1_orders_2(esk26_0) ),
inference(rw,[status(thm)],[5547,793,theory(equality)]) ).
cnf(5549,negated_conjecture,
( r5_waybel_1(esk26_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| k1_card_1(esk27_0) != k1_card_1(X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ l1_orders_2(esk26_0) ),
inference(rw,[status(thm)],[5548,794,theory(equality)]) ).
cnf(5550,negated_conjecture,
( r5_waybel_1(esk26_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| k1_card_1(esk27_0) != k1_card_1(X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| $false
| $false ),
inference(rw,[status(thm)],[5549,787,theory(equality)]) ).
cnf(5551,negated_conjecture,
( r5_waybel_1(esk26_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| k1_card_1(esk27_0) != k1_card_1(X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))) ),
inference(cn,[status(thm)],[5550,theory(equality)]) ).
cnf(68745,negated_conjecture,
( k1_card_1(esk27_0) != k1_card_1(esk25_0)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0)))) ),
inference(spm,[status(thm)],[784,5551,theory(equality)]) ).
cnf(68746,negated_conjecture,
( $false
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0)))) ),
inference(rw,[status(thm)],[68745,785,theory(equality)]) ).
cnf(68747,negated_conjecture,
( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0)))) ),
inference(cn,[status(thm)],[68746,theory(equality)]) ).
cnf(68769,negated_conjecture,
( ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_yellow_0(k3_yellow_1(esk25_0))
| ~ v2_lattice3(k3_yellow_1(esk25_0))
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(spm,[status(thm)],[68747,1576,theory(equality)]) ).
cnf(68778,negated_conjecture,
( ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| ~ v2_lattice3(k3_yellow_1(esk25_0))
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68769,733,theory(equality)]) ).
cnf(68779,negated_conjecture,
( ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68778,736,theory(equality)]) ).
cnf(68780,negated_conjecture,
( ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68779,738,theory(equality)]) ).
cnf(68781,negated_conjecture,
( ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68780,739,theory(equality)]) ).
cnf(68782,negated_conjecture,
( ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| $false
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68781,740,theory(equality)]) ).
cnf(68783,negated_conjecture,
( ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[68782,334,theory(equality)]) ).
cnf(68784,negated_conjecture,
( ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0)))) ),
inference(cn,[status(thm)],[68783,theory(equality)]) ).
cnf(68785,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_yellow_0(k3_yellow_1(esk25_0))
| ~ v2_lattice3(k3_yellow_1(esk25_0))
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(spm,[status(thm)],[68784,485,theory(equality)]) ).
cnf(68786,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| ~ v2_lattice3(k3_yellow_1(esk25_0))
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68785,733,theory(equality)]) ).
cnf(68787,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68786,736,theory(equality)]) ).
cnf(68788,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68787,738,theory(equality)]) ).
cnf(68789,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68788,739,theory(equality)]) ).
cnf(68790,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| $false
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68789,740,theory(equality)]) ).
cnf(68791,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[68790,334,theory(equality)]) ).
cnf(68792,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0)))) ),
inference(cn,[status(thm)],[68791,theory(equality)]) ).
cnf(68793,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_yellow_0(k3_yellow_1(esk25_0))
| ~ v2_lattice3(k3_yellow_1(esk25_0))
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(spm,[status(thm)],[68792,1570,theory(equality)]) ).
cnf(68794,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| ~ v2_lattice3(k3_yellow_1(esk25_0))
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68793,733,theory(equality)]) ).
cnf(68795,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68794,736,theory(equality)]) ).
cnf(68796,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68795,738,theory(equality)]) ).
cnf(68797,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68796,739,theory(equality)]) ).
cnf(68798,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| $false
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68797,740,theory(equality)]) ).
cnf(68799,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[68798,334,theory(equality)]) ).
cnf(68800,negated_conjecture,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0)))) ),
inference(cn,[status(thm)],[68799,theory(equality)]) ).
cnf(68801,negated_conjecture,
( ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_yellow_0(k3_yellow_1(esk25_0))
| ~ v2_lattice3(k3_yellow_1(esk25_0))
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(spm,[status(thm)],[68800,486,theory(equality)]) ).
cnf(68802,negated_conjecture,
( ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| ~ v2_lattice3(k3_yellow_1(esk25_0))
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68801,733,theory(equality)]) ).
cnf(68803,negated_conjecture,
( ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68802,736,theory(equality)]) ).
cnf(68804,negated_conjecture,
( ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68803,738,theory(equality)]) ).
cnf(68805,negated_conjecture,
( ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68804,739,theory(equality)]) ).
cnf(68806,negated_conjecture,
( ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| $false
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68805,740,theory(equality)]) ).
cnf(68807,negated_conjecture,
( ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[68806,334,theory(equality)]) ).
cnf(68808,negated_conjecture,
( ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0)))) ),
inference(cn,[status(thm)],[68807,theory(equality)]) ).
cnf(68809,negated_conjecture,
( ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_yellow_0(k3_yellow_1(esk25_0))
| ~ v2_lattice3(k3_yellow_1(esk25_0))
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(spm,[status(thm)],[68808,487,theory(equality)]) ).
cnf(68810,negated_conjecture,
( ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| ~ v2_lattice3(k3_yellow_1(esk25_0))
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68809,733,theory(equality)]) ).
cnf(68811,negated_conjecture,
( ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68810,736,theory(equality)]) ).
cnf(68812,negated_conjecture,
( ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68811,738,theory(equality)]) ).
cnf(68813,negated_conjecture,
( ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68812,739,theory(equality)]) ).
cnf(68814,negated_conjecture,
( ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| $false
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68813,740,theory(equality)]) ).
cnf(68815,negated_conjecture,
( ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[68814,334,theory(equality)]) ).
cnf(68816,negated_conjecture,
( ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0)))) ),
inference(cn,[status(thm)],[68815,theory(equality)]) ).
cnf(68817,negated_conjecture,
( ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| ~ v2_yellow_0(k3_yellow_1(esk25_0))
| ~ v2_lattice3(k3_yellow_1(esk25_0))
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(spm,[status(thm)],[68816,488,theory(equality)]) ).
cnf(68818,negated_conjecture,
( ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| ~ v2_lattice3(k3_yellow_1(esk25_0))
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68817,733,theory(equality)]) ).
cnf(68819,negated_conjecture,
( ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68818,736,theory(equality)]) ).
cnf(68820,negated_conjecture,
( ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68819,738,theory(equality)]) ).
cnf(68821,negated_conjecture,
( ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68820,739,theory(equality)]) ).
cnf(68822,negated_conjecture,
( ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| $false
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68821,740,theory(equality)]) ).
cnf(68823,negated_conjecture,
( ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0))))
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[68822,334,theory(equality)]) ).
cnf(68824,negated_conjecture,
~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(esk25_0)))),
inference(cn,[status(thm)],[68823,theory(equality)]) ).
cnf(68825,negated_conjecture,
( ~ v2_yellow_0(k3_yellow_1(esk25_0))
| ~ v2_lattice3(k3_yellow_1(esk25_0))
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(spm,[status(thm)],[68824,489,theory(equality)]) ).
cnf(68826,negated_conjecture,
( $false
| ~ v2_lattice3(k3_yellow_1(esk25_0))
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68825,733,theory(equality)]) ).
cnf(68827,negated_conjecture,
( $false
| $false
| ~ v4_orders_2(k3_yellow_1(esk25_0))
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68826,736,theory(equality)]) ).
cnf(68828,negated_conjecture,
( $false
| $false
| $false
| ~ v3_orders_2(k3_yellow_1(esk25_0))
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68827,738,theory(equality)]) ).
cnf(68829,negated_conjecture,
( $false
| $false
| $false
| $false
| ~ v2_orders_2(k3_yellow_1(esk25_0))
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68828,739,theory(equality)]) ).
cnf(68830,negated_conjecture,
( $false
| $false
| $false
| $false
| $false
| ~ l1_orders_2(k3_yellow_1(esk25_0)) ),
inference(rw,[status(thm)],[68829,740,theory(equality)]) ).
cnf(68831,negated_conjecture,
( $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[68830,334,theory(equality)]) ).
cnf(68832,negated_conjecture,
$false,
inference(cn,[status(thm)],[68831,theory(equality)]) ).
cnf(68833,negated_conjecture,
$false,
68832,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT351+1.p
% --creating new selector for []
% -running prover on /tmp/tmp22EWPZ/sel_LAT351+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT351+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT351+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT351+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
%
%------------------------------------------------------------------------------