TSTP Solution File: LAT379+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT379+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 17:20:12 EST 2010
% Result : Theorem 3.80s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 11
% Syntax : Number of formulae : 144 ( 17 unt; 0 def)
% Number of atoms : 1045 ( 11 equ)
% Maximal formula atoms : 38 ( 7 avg)
% Number of connectives : 1406 ( 505 ~; 692 |; 160 &)
% ( 6 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 227 ( 5 sgn 136 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(12,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> m1_subset_1(k2_struct_0(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/tmp/tmpjsImn8/sel_LAT379+1.p_1',dt_k2_struct_0) ).
fof(33,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/tmp/tmpjsImn8/sel_LAT379+1.p_1',t8_boole) ).
fof(43,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k2_struct_0(X1,X2,X3) = k2_tarski(X2,X3) ),
file('/tmp/tmpjsImn8/sel_LAT379+1.p_1',redefinition_k2_struct_0) ).
fof(46,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_xboole_0(k1_pre_topc(X1))
& v1_finset_1(k1_pre_topc(X1))
& v5_orders_2(k1_pre_topc(X1),X1)
& v1_membered(k1_pre_topc(X1))
& v2_membered(k1_pre_topc(X1))
& v3_membered(k1_pre_topc(X1))
& v4_membered(k1_pre_topc(X1))
& v5_membered(k1_pre_topc(X1))
& v1_waybel_0(k1_pre_topc(X1),X1)
& v2_waybel_0(k1_pre_topc(X1),X1)
& v12_waybel_0(k1_pre_topc(X1),X1)
& v13_waybel_0(k1_pre_topc(X1),X1) ) ),
file('/tmp/tmpjsImn8/sel_LAT379+1.p_1',fc1_waybel11) ).
fof(50,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/tmp/tmpjsImn8/sel_LAT379+1.p_1',dt_l1_orders_2) ).
fof(51,axiom,
! [X1,X2] :
( ~ v1_xboole_0(k2_tarski(X1,X2))
& v1_finset_1(k2_tarski(X1,X2)) ),
file('/tmp/tmpjsImn8/sel_LAT379+1.p_1',fc2_finset_1) ).
fof(62,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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)) )
=> ( v5_waybel34(X3,X1,X2)
<=> r4_waybel_0(X1,X2,X3,k1_pre_topc(X1)) ) ) ) ),
file('/tmp/tmpjsImn8/sel_LAT379+1.p_1',d16_waybel34) ).
fof(63,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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)) )
=> ( v4_waybel34(X3,X1,X2)
<=> ! [X4] :
( ( v1_finset_1(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> r4_waybel_0(X1,X2,X3,X4) ) ) ) ) ),
file('/tmp/tmpjsImn8/sel_LAT379+1.p_1',d15_waybel34) ).
fof(67,axiom,
! [X1] :
( l1_struct_0(X1)
=> m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/tmp/tmpjsImn8/sel_LAT379+1.p_1',dt_k1_pre_topc) ).
fof(72,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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)) )
=> ( v20_waybel_0(X3,X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> r4_waybel_0(X1,X2,X3,k2_struct_0(X1,X4,X5)) ) ) ) ) ) ),
file('/tmp/tmpjsImn8/sel_LAT379+1.p_1',d35_waybel_0) ).
fof(78,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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)) )
=> ( v4_waybel34(X3,X1,X2)
=> ( v20_waybel_0(X3,X1,X2)
& v5_waybel34(X3,X1,X2) ) ) ) ) ),
file('/tmp/tmpjsImn8/sel_LAT379+1.p_1',t65_waybel34) ).
fof(84,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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)) )
=> ( v4_waybel34(X3,X1,X2)
=> ( v20_waybel_0(X3,X1,X2)
& v5_waybel34(X3,X1,X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[78]) ).
fof(87,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> m1_subset_1(k2_struct_0(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(96,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k2_struct_0(X1,X2,X3) = k2_tarski(X2,X3) ),
inference(fof_simplification,[status(thm)],[43,theory(equality)]) ).
fof(98,plain,
! [X1,X2] :
( ~ v1_xboole_0(k2_tarski(X1,X2))
& v1_finset_1(k2_tarski(X1,X2)) ),
inference(fof_simplification,[status(thm)],[51,theory(equality)]) ).
fof(100,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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)) )
=> ( v5_waybel34(X3,X1,X2)
<=> r4_waybel_0(X1,X2,X3,k1_pre_topc(X1)) ) ) ) ),
inference(fof_simplification,[status(thm)],[62,theory(equality)]) ).
fof(101,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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)) )
=> ( v4_waybel34(X3,X1,X2)
<=> ! [X4] :
( ( v1_finset_1(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> r4_waybel_0(X1,X2,X3,X4) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[63,theory(equality)]) ).
fof(103,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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)) )
=> ( v20_waybel_0(X3,X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> r4_waybel_0(X1,X2,X3,k2_struct_0(X1,X4,X5)) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[72,theory(equality)]) ).
fof(104,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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)) )
=> ( v4_waybel34(X3,X1,X2)
=> ( v20_waybel_0(X3,X1,X2)
& v5_waybel34(X3,X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[84,theory(equality)]) ).
fof(147,plain,
! [X1,X2,X3] :
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| m1_subset_1(k2_struct_0(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_nnf,[status(thm)],[87]) ).
fof(148,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ l1_struct_0(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| m1_subset_1(k2_struct_0(X4,X5,X6),k1_zfmisc_1(u1_struct_0(X4))) ),
inference(variable_rename,[status(thm)],[147]) ).
cnf(149,plain,
( m1_subset_1(k2_struct_0(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[148]) ).
fof(247,plain,
! [X1,X2] :
( ~ v1_xboole_0(X1)
| X1 = X2
| ~ v1_xboole_0(X2) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(248,plain,
! [X3,X4] :
( ~ v1_xboole_0(X3)
| X3 = X4
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[247]) ).
cnf(249,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[248]) ).
fof(284,plain,
! [X1,X2,X3] :
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k2_struct_0(X1,X2,X3) = k2_tarski(X2,X3) ),
inference(fof_nnf,[status(thm)],[96]) ).
fof(285,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ l1_struct_0(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| k2_struct_0(X4,X5,X6) = k2_tarski(X5,X6) ),
inference(variable_rename,[status(thm)],[284]) ).
cnf(286,plain,
( k2_struct_0(X1,X2,X3) = k2_tarski(X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[285]) ).
fof(293,plain,
! [X1] :
( ~ l1_orders_2(X1)
| ( v1_xboole_0(k1_pre_topc(X1))
& v1_finset_1(k1_pre_topc(X1))
& v5_orders_2(k1_pre_topc(X1),X1)
& v1_membered(k1_pre_topc(X1))
& v2_membered(k1_pre_topc(X1))
& v3_membered(k1_pre_topc(X1))
& v4_membered(k1_pre_topc(X1))
& v5_membered(k1_pre_topc(X1))
& v1_waybel_0(k1_pre_topc(X1),X1)
& v2_waybel_0(k1_pre_topc(X1),X1)
& v12_waybel_0(k1_pre_topc(X1),X1)
& v13_waybel_0(k1_pre_topc(X1),X1) ) ),
inference(fof_nnf,[status(thm)],[46]) ).
fof(294,plain,
! [X2] :
( ~ l1_orders_2(X2)
| ( v1_xboole_0(k1_pre_topc(X2))
& v1_finset_1(k1_pre_topc(X2))
& v5_orders_2(k1_pre_topc(X2),X2)
& v1_membered(k1_pre_topc(X2))
& v2_membered(k1_pre_topc(X2))
& v3_membered(k1_pre_topc(X2))
& v4_membered(k1_pre_topc(X2))
& v5_membered(k1_pre_topc(X2))
& v1_waybel_0(k1_pre_topc(X2),X2)
& v2_waybel_0(k1_pre_topc(X2),X2)
& v12_waybel_0(k1_pre_topc(X2),X2)
& v13_waybel_0(k1_pre_topc(X2),X2) ) ),
inference(variable_rename,[status(thm)],[293]) ).
fof(295,plain,
! [X2] :
( ( v1_xboole_0(k1_pre_topc(X2))
| ~ l1_orders_2(X2) )
& ( v1_finset_1(k1_pre_topc(X2))
| ~ l1_orders_2(X2) )
& ( v5_orders_2(k1_pre_topc(X2),X2)
| ~ l1_orders_2(X2) )
& ( v1_membered(k1_pre_topc(X2))
| ~ l1_orders_2(X2) )
& ( v2_membered(k1_pre_topc(X2))
| ~ l1_orders_2(X2) )
& ( v3_membered(k1_pre_topc(X2))
| ~ l1_orders_2(X2) )
& ( v4_membered(k1_pre_topc(X2))
| ~ l1_orders_2(X2) )
& ( v5_membered(k1_pre_topc(X2))
| ~ l1_orders_2(X2) )
& ( v1_waybel_0(k1_pre_topc(X2),X2)
| ~ l1_orders_2(X2) )
& ( v2_waybel_0(k1_pre_topc(X2),X2)
| ~ l1_orders_2(X2) )
& ( v12_waybel_0(k1_pre_topc(X2),X2)
| ~ l1_orders_2(X2) )
& ( v13_waybel_0(k1_pre_topc(X2),X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[294]) ).
cnf(306,plain,
( v1_finset_1(k1_pre_topc(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[295]) ).
cnf(307,plain,
( v1_xboole_0(k1_pre_topc(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[295]) ).
fof(320,plain,
! [X1] :
( ~ l1_orders_2(X1)
| l1_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(321,plain,
! [X2] :
( ~ l1_orders_2(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[320]) ).
cnf(322,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[321]) ).
fof(323,plain,
! [X3,X4] :
( ~ v1_xboole_0(k2_tarski(X3,X4))
& v1_finset_1(k2_tarski(X3,X4)) ),
inference(variable_rename,[status(thm)],[98]) ).
cnf(324,plain,
v1_finset_1(k2_tarski(X1,X2)),
inference(split_conjunct,[status(thm)],[323]) ).
fof(361,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ! [X2] :
( v3_struct_0(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))
| ( ( ~ v5_waybel34(X3,X1,X2)
| r4_waybel_0(X1,X2,X3,k1_pre_topc(X1)) )
& ( ~ r4_waybel_0(X1,X2,X3,k1_pre_topc(X1))
| v5_waybel34(X3,X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[100]) ).
fof(362,plain,
! [X4] :
( v3_struct_0(X4)
| ~ l1_orders_2(X4)
| ! [X5] :
( v3_struct_0(X5)
| ~ l1_orders_2(X5)
| ! [X6] :
( ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| ( ( ~ v5_waybel34(X6,X4,X5)
| r4_waybel_0(X4,X5,X6,k1_pre_topc(X4)) )
& ( ~ r4_waybel_0(X4,X5,X6,k1_pre_topc(X4))
| v5_waybel34(X6,X4,X5) ) ) ) ) ),
inference(variable_rename,[status(thm)],[361]) ).
fof(363,plain,
! [X4,X5,X6] :
( ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| ( ( ~ v5_waybel34(X6,X4,X5)
| r4_waybel_0(X4,X5,X6,k1_pre_topc(X4)) )
& ( ~ r4_waybel_0(X4,X5,X6,k1_pre_topc(X4))
| v5_waybel34(X6,X4,X5) ) )
| v3_struct_0(X5)
| ~ l1_orders_2(X5)
| v3_struct_0(X4)
| ~ l1_orders_2(X4) ),
inference(shift_quantors,[status(thm)],[362]) ).
fof(364,plain,
! [X4,X5,X6] :
( ( ~ v5_waybel34(X6,X4,X5)
| r4_waybel_0(X4,X5,X6,k1_pre_topc(X4))
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| v3_struct_0(X5)
| ~ l1_orders_2(X5)
| v3_struct_0(X4)
| ~ l1_orders_2(X4) )
& ( ~ r4_waybel_0(X4,X5,X6,k1_pre_topc(X4))
| v5_waybel34(X6,X4,X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| v3_struct_0(X5)
| ~ l1_orders_2(X5)
| v3_struct_0(X4)
| ~ l1_orders_2(X4) ) ),
inference(distribute,[status(thm)],[363]) ).
cnf(365,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_waybel34(X3,X1,X2)
| ~ l1_orders_2(X1)
| ~ l1_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)
| ~ r4_waybel_0(X1,X2,X3,k1_pre_topc(X1)) ),
inference(split_conjunct,[status(thm)],[364]) ).
fof(367,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ! [X2] :
( v3_struct_0(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))
| ( ( ~ v4_waybel34(X3,X1,X2)
| ! [X4] :
( ~ v1_finset_1(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| r4_waybel_0(X1,X2,X3,X4) ) )
& ( ? [X4] :
( v1_finset_1(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& ~ r4_waybel_0(X1,X2,X3,X4) )
| v4_waybel34(X3,X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[101]) ).
fof(368,plain,
! [X5] :
( v3_struct_0(X5)
| ~ l1_orders_2(X5)
| ! [X6] :
( v3_struct_0(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))
| ( ( ~ v4_waybel34(X7,X5,X6)
| ! [X8] :
( ~ v1_finset_1(X8)
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X5)))
| r4_waybel_0(X5,X6,X7,X8) ) )
& ( ? [X9] :
( v1_finset_1(X9)
& m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X5)))
& ~ r4_waybel_0(X5,X6,X7,X9) )
| v4_waybel34(X7,X5,X6) ) ) ) ) ),
inference(variable_rename,[status(thm)],[367]) ).
fof(369,plain,
! [X5] :
( v3_struct_0(X5)
| ~ l1_orders_2(X5)
| ! [X6] :
( v3_struct_0(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))
| ( ( ~ v4_waybel34(X7,X5,X6)
| ! [X8] :
( ~ v1_finset_1(X8)
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X5)))
| r4_waybel_0(X5,X6,X7,X8) ) )
& ( ( v1_finset_1(esk17_3(X5,X6,X7))
& m1_subset_1(esk17_3(X5,X6,X7),k1_zfmisc_1(u1_struct_0(X5)))
& ~ r4_waybel_0(X5,X6,X7,esk17_3(X5,X6,X7)) )
| v4_waybel34(X7,X5,X6) ) ) ) ) ),
inference(skolemize,[status(esa)],[368]) ).
fof(370,plain,
! [X5,X6,X7,X8] :
( ( ( ~ v1_finset_1(X8)
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X5)))
| r4_waybel_0(X5,X6,X7,X8)
| ~ v4_waybel34(X7,X5,X6) )
& ( ( v1_finset_1(esk17_3(X5,X6,X7))
& m1_subset_1(esk17_3(X5,X6,X7),k1_zfmisc_1(u1_struct_0(X5)))
& ~ r4_waybel_0(X5,X6,X7,esk17_3(X5,X6,X7)) )
| v4_waybel34(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))
| v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X5)
| ~ l1_orders_2(X5) ),
inference(shift_quantors,[status(thm)],[369]) ).
fof(371,plain,
! [X5,X6,X7,X8] :
( ( ~ v1_finset_1(X8)
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X5)))
| r4_waybel_0(X5,X6,X7,X8)
| ~ v4_waybel34(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))
| v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X5)
| ~ l1_orders_2(X5) )
& ( v1_finset_1(esk17_3(X5,X6,X7))
| v4_waybel34(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))
| v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X5)
| ~ l1_orders_2(X5) )
& ( m1_subset_1(esk17_3(X5,X6,X7),k1_zfmisc_1(u1_struct_0(X5)))
| v4_waybel34(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))
| v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X5)
| ~ l1_orders_2(X5) )
& ( ~ r4_waybel_0(X5,X6,X7,esk17_3(X5,X6,X7))
| v4_waybel34(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))
| v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X5)
| ~ l1_orders_2(X5) ) ),
inference(distribute,[status(thm)],[370]) ).
cnf(375,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r4_waybel_0(X1,X2,X3,X4)
| ~ l1_orders_2(X1)
| ~ l1_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)
| ~ v4_waybel34(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_finset_1(X4) ),
inference(split_conjunct,[status(thm)],[371]) ).
fof(385,plain,
! [X1] :
( ~ l1_struct_0(X1)
| m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_nnf,[status(thm)],[67]) ).
fof(386,plain,
! [X2] :
( ~ l1_struct_0(X2)
| m1_subset_1(k1_pre_topc(X2),k1_zfmisc_1(u1_struct_0(X2))) ),
inference(variable_rename,[status(thm)],[385]) ).
cnf(387,plain,
( m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[386]) ).
fof(422,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ! [X2] :
( v3_struct_0(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))
| ( ( ~ v20_waybel_0(X3,X1,X2)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X1))
| r4_waybel_0(X1,X2,X3,k2_struct_0(X1,X4,X5)) ) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& ? [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
& ~ r4_waybel_0(X1,X2,X3,k2_struct_0(X1,X4,X5)) ) )
| v20_waybel_0(X3,X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[103]) ).
fof(423,plain,
! [X6] :
( v3_struct_0(X6)
| ~ l1_orders_2(X6)
| ! [X7] :
( v3_struct_0(X7)
| ~ l1_orders_2(X7)
| ! [X8] :
( ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| ( ( ~ v20_waybel_0(X8,X6,X7)
| ! [X9] :
( ~ m1_subset_1(X9,u1_struct_0(X6))
| ! [X10] :
( ~ m1_subset_1(X10,u1_struct_0(X6))
| r4_waybel_0(X6,X7,X8,k2_struct_0(X6,X9,X10)) ) ) )
& ( ? [X11] :
( m1_subset_1(X11,u1_struct_0(X6))
& ? [X12] :
( m1_subset_1(X12,u1_struct_0(X6))
& ~ r4_waybel_0(X6,X7,X8,k2_struct_0(X6,X11,X12)) ) )
| v20_waybel_0(X8,X6,X7) ) ) ) ) ),
inference(variable_rename,[status(thm)],[422]) ).
fof(424,plain,
! [X6] :
( v3_struct_0(X6)
| ~ l1_orders_2(X6)
| ! [X7] :
( v3_struct_0(X7)
| ~ l1_orders_2(X7)
| ! [X8] :
( ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| ( ( ~ v20_waybel_0(X8,X6,X7)
| ! [X9] :
( ~ m1_subset_1(X9,u1_struct_0(X6))
| ! [X10] :
( ~ m1_subset_1(X10,u1_struct_0(X6))
| r4_waybel_0(X6,X7,X8,k2_struct_0(X6,X9,X10)) ) ) )
& ( ( m1_subset_1(esk19_3(X6,X7,X8),u1_struct_0(X6))
& m1_subset_1(esk20_3(X6,X7,X8),u1_struct_0(X6))
& ~ r4_waybel_0(X6,X7,X8,k2_struct_0(X6,esk19_3(X6,X7,X8),esk20_3(X6,X7,X8))) )
| v20_waybel_0(X8,X6,X7) ) ) ) ) ),
inference(skolemize,[status(esa)],[423]) ).
fof(425,plain,
! [X6,X7,X8,X9,X10] :
( ( ( ~ m1_subset_1(X10,u1_struct_0(X6))
| r4_waybel_0(X6,X7,X8,k2_struct_0(X6,X9,X10))
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ v20_waybel_0(X8,X6,X7) )
& ( ( m1_subset_1(esk19_3(X6,X7,X8),u1_struct_0(X6))
& m1_subset_1(esk20_3(X6,X7,X8),u1_struct_0(X6))
& ~ r4_waybel_0(X6,X7,X8,k2_struct_0(X6,esk19_3(X6,X7,X8),esk20_3(X6,X7,X8))) )
| v20_waybel_0(X8,X6,X7) ) )
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ l1_orders_2(X7)
| v3_struct_0(X6)
| ~ l1_orders_2(X6) ),
inference(shift_quantors,[status(thm)],[424]) ).
fof(426,plain,
! [X6,X7,X8,X9,X10] :
( ( ~ m1_subset_1(X10,u1_struct_0(X6))
| r4_waybel_0(X6,X7,X8,k2_struct_0(X6,X9,X10))
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ v20_waybel_0(X8,X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ l1_orders_2(X7)
| v3_struct_0(X6)
| ~ l1_orders_2(X6) )
& ( m1_subset_1(esk19_3(X6,X7,X8),u1_struct_0(X6))
| v20_waybel_0(X8,X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ l1_orders_2(X7)
| v3_struct_0(X6)
| ~ l1_orders_2(X6) )
& ( m1_subset_1(esk20_3(X6,X7,X8),u1_struct_0(X6))
| v20_waybel_0(X8,X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ l1_orders_2(X7)
| v3_struct_0(X6)
| ~ l1_orders_2(X6) )
& ( ~ r4_waybel_0(X6,X7,X8,k2_struct_0(X6,esk19_3(X6,X7,X8),esk20_3(X6,X7,X8)))
| v20_waybel_0(X8,X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ l1_orders_2(X7)
| v3_struct_0(X6)
| ~ l1_orders_2(X6) ) ),
inference(distribute,[status(thm)],[425]) ).
cnf(427,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v20_waybel_0(X3,X1,X2)
| ~ l1_orders_2(X1)
| ~ l1_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)
| ~ r4_waybel_0(X1,X2,X3,k2_struct_0(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[426]) ).
cnf(428,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v20_waybel_0(X3,X1,X2)
| m1_subset_1(esk20_3(X1,X2,X3),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_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) ),
inference(split_conjunct,[status(thm)],[426]) ).
cnf(429,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v20_waybel_0(X3,X1,X2)
| m1_subset_1(esk19_3(X1,X2,X3),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_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) ),
inference(split_conjunct,[status(thm)],[426]) ).
fof(458,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ? [X2] :
( ~ v3_struct_0(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))
& v4_waybel34(X3,X1,X2)
& ( ~ v20_waybel_0(X3,X1,X2)
| ~ v5_waybel34(X3,X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[104]) ).
fof(459,negated_conjecture,
? [X4] :
( ~ v3_struct_0(X4)
& l1_orders_2(X4)
& ? [X5] :
( ~ v3_struct_0(X5)
& l1_orders_2(X5)
& ? [X6] :
( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
& m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
& v4_waybel34(X6,X4,X5)
& ( ~ v20_waybel_0(X6,X4,X5)
| ~ v5_waybel34(X6,X4,X5) ) ) ) ),
inference(variable_rename,[status(thm)],[458]) ).
fof(460,negated_conjecture,
( ~ v3_struct_0(esk21_0)
& l1_orders_2(esk21_0)
& ~ v3_struct_0(esk22_0)
& l1_orders_2(esk22_0)
& v1_funct_1(esk23_0)
& v1_funct_2(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
& m2_relset_1(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
& v4_waybel34(esk23_0,esk21_0,esk22_0)
& ( ~ v20_waybel_0(esk23_0,esk21_0,esk22_0)
| ~ v5_waybel34(esk23_0,esk21_0,esk22_0) ) ),
inference(skolemize,[status(esa)],[459]) ).
cnf(461,negated_conjecture,
( ~ v5_waybel34(esk23_0,esk21_0,esk22_0)
| ~ v20_waybel_0(esk23_0,esk21_0,esk22_0) ),
inference(split_conjunct,[status(thm)],[460]) ).
cnf(462,negated_conjecture,
v4_waybel34(esk23_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[460]) ).
cnf(463,negated_conjecture,
m2_relset_1(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0)),
inference(split_conjunct,[status(thm)],[460]) ).
cnf(464,negated_conjecture,
v1_funct_2(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0)),
inference(split_conjunct,[status(thm)],[460]) ).
cnf(465,negated_conjecture,
v1_funct_1(esk23_0),
inference(split_conjunct,[status(thm)],[460]) ).
cnf(466,negated_conjecture,
l1_orders_2(esk22_0),
inference(split_conjunct,[status(thm)],[460]) ).
cnf(467,negated_conjecture,
~ v3_struct_0(esk22_0),
inference(split_conjunct,[status(thm)],[460]) ).
cnf(468,negated_conjecture,
l1_orders_2(esk21_0),
inference(split_conjunct,[status(thm)],[460]) ).
cnf(469,negated_conjecture,
~ v3_struct_0(esk21_0),
inference(split_conjunct,[status(thm)],[460]) ).
cnf(519,plain,
( X1 = k1_pre_topc(X2)
| ~ v1_xboole_0(X1)
| ~ l1_orders_2(X2) ),
inference(spm,[status(thm)],[249,307,theory(equality)]) ).
cnf(917,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_tarski(X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[149,286,theory(equality)]) ).
cnf(987,negated_conjecture,
( r4_waybel_0(esk21_0,esk22_0,esk23_0,X1)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ v1_funct_2(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ m2_relset_1(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(X1) ),
inference(spm,[status(thm)],[375,462,theory(equality)]) ).
cnf(988,negated_conjecture,
( r4_waybel_0(esk21_0,esk22_0,esk23_0,X1)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| $false
| ~ m2_relset_1(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(X1) ),
inference(rw,[status(thm)],[987,464,theory(equality)]) ).
cnf(989,negated_conjecture,
( r4_waybel_0(esk21_0,esk22_0,esk23_0,X1)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| $false
| $false
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(X1) ),
inference(rw,[status(thm)],[988,463,theory(equality)]) ).
cnf(990,negated_conjecture,
( r4_waybel_0(esk21_0,esk22_0,esk23_0,X1)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| $false
| $false
| $false
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(X1) ),
inference(rw,[status(thm)],[989,465,theory(equality)]) ).
cnf(991,negated_conjecture,
( r4_waybel_0(esk21_0,esk22_0,esk23_0,X1)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| $false
| $false
| $false
| $false
| ~ l1_orders_2(esk21_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(X1) ),
inference(rw,[status(thm)],[990,466,theory(equality)]) ).
cnf(992,negated_conjecture,
( r4_waybel_0(esk21_0,esk22_0,esk23_0,X1)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(X1) ),
inference(rw,[status(thm)],[991,468,theory(equality)]) ).
cnf(993,negated_conjecture,
( r4_waybel_0(esk21_0,esk22_0,esk23_0,X1)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(X1) ),
inference(cn,[status(thm)],[992,theory(equality)]) ).
cnf(994,negated_conjecture,
( r4_waybel_0(esk21_0,esk22_0,esk23_0,X1)
| v3_struct_0(esk22_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(X1) ),
inference(sr,[status(thm)],[993,469,theory(equality)]) ).
cnf(995,negated_conjecture,
( r4_waybel_0(esk21_0,esk22_0,esk23_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(X1) ),
inference(sr,[status(thm)],[994,467,theory(equality)]) ).
cnf(996,plain,
( v20_waybel_0(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ r4_waybel_0(X2,X3,X1,k2_tarski(esk19_3(X2,X3,X1),esk20_3(X2,X3,X1)))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ l1_struct_0(X2)
| ~ m1_subset_1(esk20_3(X2,X3,X1),u1_struct_0(X2))
| ~ m1_subset_1(esk19_3(X2,X3,X1),u1_struct_0(X2)) ),
inference(spm,[status(thm)],[427,286,theory(equality)]) ).
cnf(1238,plain,
( k1_pre_topc(X1) = k1_pre_topc(X2)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[519,307,theory(equality)]) ).
cnf(1887,plain,
( m1_subset_1(k1_pre_topc(X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[387,1238,theory(equality)]) ).
cnf(1891,plain,
( v5_waybel34(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ r4_waybel_0(X2,X3,X1,k1_pre_topc(X4))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X4) ),
inference(spm,[status(thm)],[365,1238,theory(equality)]) ).
cnf(10720,plain,
( v20_waybel_0(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ r4_waybel_0(X2,X3,X1,k2_tarski(esk19_3(X2,X3,X1),esk20_3(X2,X3,X1)))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ m1_subset_1(esk20_3(X2,X3,X1),u1_struct_0(X2)) ),
inference(csr,[status(thm)],[996,429]) ).
cnf(10721,plain,
( v20_waybel_0(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ r4_waybel_0(X2,X3,X1,k2_tarski(esk19_3(X2,X3,X1),esk20_3(X2,X3,X1)))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(csr,[status(thm)],[10720,428]) ).
cnf(10722,plain,
( v20_waybel_0(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ r4_waybel_0(X2,X3,X1,k2_tarski(esk19_3(X2,X3,X1),esk20_3(X2,X3,X1)))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(csr,[status(thm)],[10721,322]) ).
cnf(10723,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| ~ v1_funct_2(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ m2_relset_1(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0)
| ~ m1_subset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0)),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0))) ),
inference(spm,[status(thm)],[10722,995,theory(equality)]) ).
cnf(10724,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| $false
| ~ m2_relset_1(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0)
| ~ m1_subset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0)),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0))) ),
inference(rw,[status(thm)],[10723,464,theory(equality)]) ).
cnf(10725,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| $false
| $false
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0)
| ~ m1_subset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0)),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0))) ),
inference(rw,[status(thm)],[10724,463,theory(equality)]) ).
cnf(10726,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| $false
| $false
| $false
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0)
| ~ m1_subset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0)),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0))) ),
inference(rw,[status(thm)],[10725,465,theory(equality)]) ).
cnf(10727,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| $false
| $false
| $false
| $false
| ~ l1_orders_2(esk21_0)
| ~ m1_subset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0)),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0))) ),
inference(rw,[status(thm)],[10726,466,theory(equality)]) ).
cnf(10728,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0)),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0))) ),
inference(rw,[status(thm)],[10727,468,theory(equality)]) ).
cnf(10729,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0)),k1_zfmisc_1(u1_struct_0(esk21_0)))
| $false ),
inference(rw,[status(thm)],[10728,324,theory(equality)]) ).
cnf(10730,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| ~ m1_subset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0)),k1_zfmisc_1(u1_struct_0(esk21_0))) ),
inference(cn,[status(thm)],[10729,theory(equality)]) ).
cnf(10731,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| ~ m1_subset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0)),k1_zfmisc_1(u1_struct_0(esk21_0))) ),
inference(sr,[status(thm)],[10730,467,theory(equality)]) ).
cnf(10732,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| ~ m1_subset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0)),k1_zfmisc_1(u1_struct_0(esk21_0))) ),
inference(sr,[status(thm)],[10731,469,theory(equality)]) ).
cnf(12250,plain,
( m1_subset_1(k1_pre_topc(X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[1887,322]) ).
cnf(12370,negated_conjecture,
( v5_waybel34(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| ~ v1_funct_2(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ m2_relset_1(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0)
| ~ l1_orders_2(X1)
| ~ m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k1_pre_topc(X1)) ),
inference(spm,[status(thm)],[1891,995,theory(equality)]) ).
cnf(12377,negated_conjecture,
( v5_waybel34(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| $false
| ~ m2_relset_1(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0)
| ~ l1_orders_2(X1)
| ~ m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k1_pre_topc(X1)) ),
inference(rw,[status(thm)],[12370,464,theory(equality)]) ).
cnf(12378,negated_conjecture,
( v5_waybel34(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| $false
| $false
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0)
| ~ l1_orders_2(X1)
| ~ m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k1_pre_topc(X1)) ),
inference(rw,[status(thm)],[12377,463,theory(equality)]) ).
cnf(12379,negated_conjecture,
( v5_waybel34(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| $false
| $false
| $false
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0)
| ~ l1_orders_2(X1)
| ~ m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k1_pre_topc(X1)) ),
inference(rw,[status(thm)],[12378,465,theory(equality)]) ).
cnf(12380,negated_conjecture,
( v5_waybel34(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| $false
| $false
| $false
| $false
| ~ l1_orders_2(esk21_0)
| ~ l1_orders_2(X1)
| ~ m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k1_pre_topc(X1)) ),
inference(rw,[status(thm)],[12379,466,theory(equality)]) ).
cnf(12381,negated_conjecture,
( v5_waybel34(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| $false
| $false
| $false
| $false
| $false
| ~ l1_orders_2(X1)
| ~ m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k1_pre_topc(X1)) ),
inference(rw,[status(thm)],[12380,468,theory(equality)]) ).
cnf(12382,negated_conjecture,
( v5_waybel34(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk22_0)
| v3_struct_0(esk21_0)
| ~ l1_orders_2(X1)
| ~ m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k1_pre_topc(X1)) ),
inference(cn,[status(thm)],[12381,theory(equality)]) ).
cnf(12383,negated_conjecture,
( v5_waybel34(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| ~ l1_orders_2(X1)
| ~ m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k1_pre_topc(X1)) ),
inference(sr,[status(thm)],[12382,467,theory(equality)]) ).
cnf(12384,negated_conjecture,
( v5_waybel34(esk23_0,esk21_0,esk22_0)
| ~ l1_orders_2(X1)
| ~ m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(esk21_0)))
| ~ v1_finset_1(k1_pre_topc(X1)) ),
inference(sr,[status(thm)],[12383,469,theory(equality)]) ).
cnf(13483,negated_conjecture,
( v5_waybel34(esk23_0,esk21_0,esk22_0)
| ~ l1_orders_2(X1)
| ~ m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(esk21_0))) ),
inference(csr,[status(thm)],[12384,306]) ).
cnf(13493,negated_conjecture,
( v5_waybel34(esk23_0,esk21_0,esk22_0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(esk21_0) ),
inference(spm,[status(thm)],[13483,12250,theory(equality)]) ).
cnf(13497,negated_conjecture,
( v5_waybel34(esk23_0,esk21_0,esk22_0)
| ~ l1_orders_2(X1)
| $false ),
inference(rw,[status(thm)],[13493,468,theory(equality)]) ).
cnf(13498,negated_conjecture,
( v5_waybel34(esk23_0,esk21_0,esk22_0)
| ~ l1_orders_2(X1) ),
inference(cn,[status(thm)],[13497,theory(equality)]) ).
cnf(13499,negated_conjecture,
v5_waybel34(esk23_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[13498,468,theory(equality)]) ).
cnf(13505,negated_conjecture,
( ~ v20_waybel_0(esk23_0,esk21_0,esk22_0)
| $false ),
inference(rw,[status(thm)],[461,13499,theory(equality)]) ).
cnf(13506,negated_conjecture,
~ v20_waybel_0(esk23_0,esk21_0,esk22_0),
inference(cn,[status(thm)],[13505,theory(equality)]) ).
cnf(19494,negated_conjecture,
~ m1_subset_1(k2_tarski(esk19_3(esk21_0,esk22_0,esk23_0),esk20_3(esk21_0,esk22_0,esk23_0)),k1_zfmisc_1(u1_struct_0(esk21_0))),
inference(sr,[status(thm)],[10732,13506,theory(equality)]) ).
cnf(19495,negated_conjecture,
( v3_struct_0(esk21_0)
| ~ l1_struct_0(esk21_0)
| ~ m1_subset_1(esk20_3(esk21_0,esk22_0,esk23_0),u1_struct_0(esk21_0))
| ~ m1_subset_1(esk19_3(esk21_0,esk22_0,esk23_0),u1_struct_0(esk21_0)) ),
inference(spm,[status(thm)],[19494,917,theory(equality)]) ).
cnf(19496,negated_conjecture,
( ~ l1_struct_0(esk21_0)
| ~ m1_subset_1(esk20_3(esk21_0,esk22_0,esk23_0),u1_struct_0(esk21_0))
| ~ m1_subset_1(esk19_3(esk21_0,esk22_0,esk23_0),u1_struct_0(esk21_0)) ),
inference(sr,[status(thm)],[19495,469,theory(equality)]) ).
cnf(19497,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| ~ m1_subset_1(esk19_3(esk21_0,esk22_0,esk23_0),u1_struct_0(esk21_0))
| ~ v1_funct_2(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ m2_relset_1(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0) ),
inference(spm,[status(thm)],[19496,428,theory(equality)]) ).
cnf(19498,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| ~ m1_subset_1(esk19_3(esk21_0,esk22_0,esk23_0),u1_struct_0(esk21_0))
| $false
| ~ m2_relset_1(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0) ),
inference(rw,[status(thm)],[19497,464,theory(equality)]) ).
cnf(19499,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| ~ m1_subset_1(esk19_3(esk21_0,esk22_0,esk23_0),u1_struct_0(esk21_0))
| $false
| $false
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0) ),
inference(rw,[status(thm)],[19498,463,theory(equality)]) ).
cnf(19500,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| ~ m1_subset_1(esk19_3(esk21_0,esk22_0,esk23_0),u1_struct_0(esk21_0))
| $false
| $false
| $false
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0) ),
inference(rw,[status(thm)],[19499,465,theory(equality)]) ).
cnf(19501,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| ~ m1_subset_1(esk19_3(esk21_0,esk22_0,esk23_0),u1_struct_0(esk21_0))
| $false
| $false
| $false
| $false
| ~ l1_orders_2(esk21_0) ),
inference(rw,[status(thm)],[19500,466,theory(equality)]) ).
cnf(19502,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| ~ m1_subset_1(esk19_3(esk21_0,esk22_0,esk23_0),u1_struct_0(esk21_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[19501,468,theory(equality)]) ).
cnf(19503,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| ~ m1_subset_1(esk19_3(esk21_0,esk22_0,esk23_0),u1_struct_0(esk21_0)) ),
inference(cn,[status(thm)],[19502,theory(equality)]) ).
cnf(19504,negated_conjecture,
( v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| ~ m1_subset_1(esk19_3(esk21_0,esk22_0,esk23_0),u1_struct_0(esk21_0)) ),
inference(sr,[status(thm)],[19503,13506,theory(equality)]) ).
cnf(19505,negated_conjecture,
( v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| ~ m1_subset_1(esk19_3(esk21_0,esk22_0,esk23_0),u1_struct_0(esk21_0)) ),
inference(sr,[status(thm)],[19504,469,theory(equality)]) ).
cnf(19506,negated_conjecture,
( ~ l1_struct_0(esk21_0)
| ~ m1_subset_1(esk19_3(esk21_0,esk22_0,esk23_0),u1_struct_0(esk21_0)) ),
inference(sr,[status(thm)],[19505,467,theory(equality)]) ).
cnf(19507,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| ~ v1_funct_2(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ m2_relset_1(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0) ),
inference(spm,[status(thm)],[19506,429,theory(equality)]) ).
cnf(19508,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| $false
| ~ m2_relset_1(esk23_0,u1_struct_0(esk21_0),u1_struct_0(esk22_0))
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0) ),
inference(rw,[status(thm)],[19507,464,theory(equality)]) ).
cnf(19509,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| $false
| $false
| ~ v1_funct_1(esk23_0)
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0) ),
inference(rw,[status(thm)],[19508,463,theory(equality)]) ).
cnf(19510,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| $false
| $false
| $false
| ~ l1_orders_2(esk22_0)
| ~ l1_orders_2(esk21_0) ),
inference(rw,[status(thm)],[19509,465,theory(equality)]) ).
cnf(19511,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| $false
| $false
| $false
| $false
| ~ l1_orders_2(esk21_0) ),
inference(rw,[status(thm)],[19510,466,theory(equality)]) ).
cnf(19512,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[19511,468,theory(equality)]) ).
cnf(19513,negated_conjecture,
( v20_waybel_0(esk23_0,esk21_0,esk22_0)
| v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0) ),
inference(cn,[status(thm)],[19512,theory(equality)]) ).
cnf(19514,negated_conjecture,
( v3_struct_0(esk21_0)
| v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0) ),
inference(sr,[status(thm)],[19513,13506,theory(equality)]) ).
cnf(19515,negated_conjecture,
( v3_struct_0(esk22_0)
| ~ l1_struct_0(esk21_0) ),
inference(sr,[status(thm)],[19514,469,theory(equality)]) ).
cnf(19516,negated_conjecture,
~ l1_struct_0(esk21_0),
inference(sr,[status(thm)],[19515,467,theory(equality)]) ).
cnf(19520,negated_conjecture,
~ l1_orders_2(esk21_0),
inference(spm,[status(thm)],[19516,322,theory(equality)]) ).
cnf(19521,negated_conjecture,
$false,
inference(rw,[status(thm)],[19520,468,theory(equality)]) ).
cnf(19522,negated_conjecture,
$false,
inference(cn,[status(thm)],[19521,theory(equality)]) ).
cnf(19523,negated_conjecture,
$false,
19522,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT379+1.p
% --creating new selector for []
% -running prover on /tmp/tmpjsImn8/sel_LAT379+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT379+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT379+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT379+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
%
%------------------------------------------------------------------------------