TSTP Solution File: LAT347+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT347+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 15:59:28 EST 2010
% Result : Theorem 0.70s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 10
% Syntax : Number of formulae : 92 ( 14 unt; 0 def)
% Number of atoms : 456 ( 28 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 595 ( 231 ~; 237 |; 104 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 49 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v1_waybel_0(X2,k2_yellow_1(k9_waybel_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X1))))) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),X2) = k3_tarski(X2) ) ),
file('/tmp/tmpdalPa_/sel_LAT347+1.p_1',t1_waybel22) ).
fof(10,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))) )
=> k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2) ) ),
file('/tmp/tmpdalPa_/sel_LAT347+1.p_1',t9_waybel13) ).
fof(11,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/tmp/tmpdalPa_/sel_LAT347+1.p_1',cc2_lattice3) ).
fof(12,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_orders_2(k7_lattice3(X1))
& l1_orders_2(k7_lattice3(X1)) ) ),
file('/tmp/tmpdalPa_/sel_LAT347+1.p_1',dt_k7_lattice3) ).
fof(37,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
=> k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1)) ),
file('/tmp/tmpdalPa_/sel_LAT347+1.p_1',t7_waybel16) ).
fof(41,axiom,
! [X1] :
( ( v4_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v4_orders_2(k7_lattice3(X1)) ) ),
file('/tmp/tmpdalPa_/sel_LAT347+1.p_1',fc3_yellow_7) ).
fof(65,axiom,
! [X1] :
( ( v2_yellow_0(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v1_yellow_0(k7_lattice3(X1)) ) ),
file('/tmp/tmpdalPa_/sel_LAT347+1.p_1',fc10_yellow_7) ).
fof(72,axiom,
! [X1] :
( ( v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v2_orders_2(k7_lattice3(X1)) ) ),
file('/tmp/tmpdalPa_/sel_LAT347+1.p_1',fc1_yellow_7) ).
fof(85,axiom,
! [X1] :
( ( v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1)) ) ),
file('/tmp/tmpdalPa_/sel_LAT347+1.p_1',fc5_yellow_7) ).
fof(101,axiom,
! [X1] :
( ( v3_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v3_orders_2(k7_lattice3(X1)) ) ),
file('/tmp/tmpdalPa_/sel_LAT347+1.p_1',fc2_yellow_7) ).
fof(108,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v1_waybel_0(X2,k2_yellow_1(k9_waybel_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X1))))) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),X2) = k3_tarski(X2) ) ),
inference(assume_negation,[status(cth)],[4]) ).
fof(110,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v1_waybel_0(X2,k2_yellow_1(k9_waybel_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X1))))) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),X2) = k3_tarski(X2) ) ),
inference(fof_simplification,[status(thm)],[108,theory(equality)]) ).
fof(112,plain,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))) )
=> k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2) ) ),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(113,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(124,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
=> k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1)) ),
inference(fof_simplification,[status(thm)],[37,theory(equality)]) ).
fof(144,plain,
! [X1] :
( ( v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1)) ) ),
inference(fof_simplification,[status(thm)],[85,theory(equality)]) ).
fof(170,negated_conjecture,
? [X1] :
( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1)
& ? [X2] :
( ~ v1_xboole_0(X2)
& v1_waybel_0(X2,k2_yellow_1(k9_waybel_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X1)))))
& k1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),X2) != k3_tarski(X2) ) ),
inference(fof_nnf,[status(thm)],[110]) ).
fof(171,negated_conjecture,
? [X3] :
( v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& v2_yellow_0(X3)
& v2_lattice3(X3)
& l1_orders_2(X3)
& ? [X4] :
( ~ v1_xboole_0(X4)
& v1_waybel_0(X4,k2_yellow_1(k9_waybel_0(X3)))
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X3)))))
& k1_yellow_0(k2_yellow_1(k9_waybel_0(X3)),X4) != k3_tarski(X4) ) ),
inference(variable_rename,[status(thm)],[170]) ).
fof(172,negated_conjecture,
( v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v2_yellow_0(esk2_0)
& v2_lattice3(esk2_0)
& l1_orders_2(esk2_0)
& ~ v1_xboole_0(esk3_0)
& v1_waybel_0(esk3_0,k2_yellow_1(k9_waybel_0(esk2_0)))
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(esk2_0)))))
& k1_yellow_0(k2_yellow_1(k9_waybel_0(esk2_0)),esk3_0) != k3_tarski(esk3_0) ),
inference(skolemize,[status(esa)],[171]) ).
cnf(173,negated_conjecture,
k1_yellow_0(k2_yellow_1(k9_waybel_0(esk2_0)),esk3_0) != k3_tarski(esk3_0),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(174,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(esk2_0))))),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(175,negated_conjecture,
v1_waybel_0(esk3_0,k2_yellow_1(k9_waybel_0(esk2_0))),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(176,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(177,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(178,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(179,negated_conjecture,
v2_yellow_0(esk2_0),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(180,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(181,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(182,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[172]) ).
fof(203,plain,
! [X1] :
( ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1)
| ~ l1_orders_2(X1)
| ! [X2] :
( v1_xboole_0(X2)
| ~ v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1)))))
| k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2) ) ),
inference(fof_nnf,[status(thm)],[112]) ).
fof(204,plain,
! [X3] :
( ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v1_lattice3(X3)
| ~ v1_yellow_0(X3)
| ~ l1_orders_2(X3)
| ! [X4] :
( v1_xboole_0(X4)
| ~ v1_waybel_0(X4,k2_yellow_1(k8_waybel_0(X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X3)))))
| k1_yellow_0(k2_yellow_1(k8_waybel_0(X3)),X4) = k3_tarski(X4) ) ),
inference(variable_rename,[status(thm)],[203]) ).
fof(205,plain,
! [X3,X4] :
( v1_xboole_0(X4)
| ~ v1_waybel_0(X4,k2_yellow_1(k8_waybel_0(X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X3)))))
| k1_yellow_0(k2_yellow_1(k8_waybel_0(X3)),X4) = k3_tarski(X4)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v1_lattice3(X3)
| ~ v1_yellow_0(X3)
| ~ l1_orders_2(X3) ),
inference(shift_quantors,[status(thm)],[204]) ).
cnf(206,plain,
( k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2)
| v1_xboole_0(X2)
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1)))))
| ~ v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1))) ),
inference(split_conjunct,[status(thm)],[205]) ).
fof(207,plain,
! [X1] :
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[113]) ).
fof(208,plain,
! [X2] :
( ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v3_struct_0(X2) ),
inference(variable_rename,[status(thm)],[207]) ).
cnf(209,plain,
( ~ v3_struct_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[208]) ).
fof(210,plain,
! [X1] :
( ~ l1_orders_2(X1)
| ( v1_orders_2(k7_lattice3(X1))
& l1_orders_2(k7_lattice3(X1)) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(211,plain,
! [X2] :
( ~ l1_orders_2(X2)
| ( v1_orders_2(k7_lattice3(X2))
& l1_orders_2(k7_lattice3(X2)) ) ),
inference(variable_rename,[status(thm)],[210]) ).
fof(212,plain,
! [X2] :
( ( v1_orders_2(k7_lattice3(X2))
| ~ l1_orders_2(X2) )
& ( l1_orders_2(k7_lattice3(X2))
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[211]) ).
cnf(213,plain,
( l1_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[212]) ).
fof(331,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1)) ),
inference(fof_nnf,[status(thm)],[124]) ).
fof(332,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ l1_orders_2(X2)
| k9_waybel_0(X2) = k8_waybel_0(k7_lattice3(X2)) ),
inference(variable_rename,[status(thm)],[331]) ).
cnf(333,plain,
( k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[332]) ).
fof(346,plain,
! [X1] :
( ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ( v1_orders_2(k7_lattice3(X1))
& v4_orders_2(k7_lattice3(X1)) ) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(347,plain,
! [X2] :
( ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ( v1_orders_2(k7_lattice3(X2))
& v4_orders_2(k7_lattice3(X2)) ) ),
inference(variable_rename,[status(thm)],[346]) ).
fof(348,plain,
! [X2] :
( ( v1_orders_2(k7_lattice3(X2))
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v4_orders_2(k7_lattice3(X2))
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[347]) ).
cnf(349,plain,
( v4_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[348]) ).
fof(449,plain,
! [X1] :
( ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1)
| ( v1_orders_2(k7_lattice3(X1))
& v1_yellow_0(k7_lattice3(X1)) ) ),
inference(fof_nnf,[status(thm)],[65]) ).
fof(450,plain,
! [X2] :
( ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2)
| ( v1_orders_2(k7_lattice3(X2))
& v1_yellow_0(k7_lattice3(X2)) ) ),
inference(variable_rename,[status(thm)],[449]) ).
fof(451,plain,
! [X2] :
( ( v1_orders_2(k7_lattice3(X2))
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v1_yellow_0(k7_lattice3(X2))
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[450]) ).
cnf(452,plain,
( v1_yellow_0(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
inference(split_conjunct,[status(thm)],[451]) ).
fof(485,plain,
! [X1] :
( ~ v2_orders_2(X1)
| ~ l1_orders_2(X1)
| ( v1_orders_2(k7_lattice3(X1))
& v2_orders_2(k7_lattice3(X1)) ) ),
inference(fof_nnf,[status(thm)],[72]) ).
fof(486,plain,
! [X2] :
( ~ v2_orders_2(X2)
| ~ l1_orders_2(X2)
| ( v1_orders_2(k7_lattice3(X2))
& v2_orders_2(k7_lattice3(X2)) ) ),
inference(variable_rename,[status(thm)],[485]) ).
fof(487,plain,
! [X2] :
( ( v1_orders_2(k7_lattice3(X2))
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v2_orders_2(k7_lattice3(X2))
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[486]) ).
cnf(488,plain,
( v2_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[487]) ).
fof(558,plain,
! [X1] :
( ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1)) ) ),
inference(fof_nnf,[status(thm)],[144]) ).
fof(559,plain,
! [X2] :
( ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ( ~ v3_struct_0(k7_lattice3(X2))
& v1_orders_2(k7_lattice3(X2))
& v1_lattice3(k7_lattice3(X2)) ) ),
inference(variable_rename,[status(thm)],[558]) ).
fof(560,plain,
! [X2] :
( ( ~ v3_struct_0(k7_lattice3(X2))
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_orders_2(k7_lattice3(X2))
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_lattice3(k7_lattice3(X2))
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[559]) ).
cnf(561,plain,
( v1_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[560]) ).
fof(631,plain,
! [X1] :
( ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ( v1_orders_2(k7_lattice3(X1))
& v3_orders_2(k7_lattice3(X1)) ) ),
inference(fof_nnf,[status(thm)],[101]) ).
fof(632,plain,
! [X2] :
( ~ v3_orders_2(X2)
| ~ l1_orders_2(X2)
| ( v1_orders_2(k7_lattice3(X2))
& v3_orders_2(k7_lattice3(X2)) ) ),
inference(variable_rename,[status(thm)],[631]) ).
fof(633,plain,
! [X2] :
( ( v1_orders_2(k7_lattice3(X2))
| ~ v3_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v3_orders_2(k7_lattice3(X2))
| ~ v3_orders_2(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[632]) ).
cnf(634,plain,
( v3_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[633]) ).
cnf(685,negated_conjecture,
( ~ v3_struct_0(esk2_0)
| ~ l1_orders_2(esk2_0) ),
inference(spm,[status(thm)],[209,178,theory(equality)]) ).
cnf(689,negated_conjecture,
( ~ v3_struct_0(esk2_0)
| $false ),
inference(rw,[status(thm)],[685,177,theory(equality)]) ).
cnf(690,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(cn,[status(thm)],[689,theory(equality)]) ).
cnf(1000,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),X2) = k3_tarski(X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ v1_yellow_0(k7_lattice3(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X1)))))
| ~ v1_waybel_0(X2,k2_yellow_1(k9_waybel_0(X1)))
| ~ v1_lattice3(k7_lattice3(X1))
| ~ v4_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[206,333,theory(equality)]) ).
cnf(5193,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),X2) = k3_tarski(X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ v1_yellow_0(k7_lattice3(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X1)))))
| ~ v1_waybel_0(X2,k2_yellow_1(k9_waybel_0(X1)))
| ~ v1_lattice3(k7_lattice3(X1))
| ~ v4_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[1000,213]) ).
cnf(5194,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),X2) = k3_tarski(X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ v1_yellow_0(k7_lattice3(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X1)))))
| ~ v1_waybel_0(X2,k2_yellow_1(k9_waybel_0(X1)))
| ~ v1_lattice3(k7_lattice3(X1))
| ~ v4_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[5193,488]) ).
cnf(5195,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),X2) = k3_tarski(X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ v1_yellow_0(k7_lattice3(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X1)))))
| ~ v1_waybel_0(X2,k2_yellow_1(k9_waybel_0(X1)))
| ~ v1_lattice3(k7_lattice3(X1))
| ~ v4_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[5194,634]) ).
cnf(5196,negated_conjecture,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk2_0)),esk3_0) = k3_tarski(esk3_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk2_0)
| ~ v1_yellow_0(k7_lattice3(esk2_0))
| ~ v1_waybel_0(esk3_0,k2_yellow_1(k9_waybel_0(esk2_0)))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(esk2_0)
| ~ v2_orders_2(esk2_0)
| ~ l1_orders_2(esk2_0) ),
inference(spm,[status(thm)],[5195,174,theory(equality)]) ).
cnf(5258,negated_conjecture,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk2_0)),esk3_0) = k3_tarski(esk3_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk2_0)
| ~ v1_yellow_0(k7_lattice3(esk2_0))
| $false
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(esk2_0)
| ~ v2_orders_2(esk2_0)
| ~ l1_orders_2(esk2_0) ),
inference(rw,[status(thm)],[5196,175,theory(equality)]) ).
cnf(5259,negated_conjecture,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk2_0)),esk3_0) = k3_tarski(esk3_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk2_0)
| ~ v1_yellow_0(k7_lattice3(esk2_0))
| $false
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| $false
| ~ v2_orders_2(esk2_0)
| ~ l1_orders_2(esk2_0) ),
inference(rw,[status(thm)],[5258,181,theory(equality)]) ).
cnf(5260,negated_conjecture,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk2_0)),esk3_0) = k3_tarski(esk3_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk2_0)
| ~ v1_yellow_0(k7_lattice3(esk2_0))
| $false
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| $false
| $false
| ~ l1_orders_2(esk2_0) ),
inference(rw,[status(thm)],[5259,182,theory(equality)]) ).
cnf(5261,negated_conjecture,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk2_0)),esk3_0) = k3_tarski(esk3_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk2_0)
| ~ v1_yellow_0(k7_lattice3(esk2_0))
| $false
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[5260,177,theory(equality)]) ).
cnf(5262,negated_conjecture,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk2_0)),esk3_0) = k3_tarski(esk3_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk2_0)
| ~ v1_yellow_0(k7_lattice3(esk2_0))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk2_0)) ),
inference(cn,[status(thm)],[5261,theory(equality)]) ).
cnf(5263,negated_conjecture,
( v1_xboole_0(esk3_0)
| v3_struct_0(esk2_0)
| ~ v1_yellow_0(k7_lattice3(esk2_0))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk2_0)) ),
inference(sr,[status(thm)],[5262,173,theory(equality)]) ).
cnf(5264,negated_conjecture,
( v3_struct_0(esk2_0)
| ~ v1_yellow_0(k7_lattice3(esk2_0))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk2_0)) ),
inference(sr,[status(thm)],[5263,176,theory(equality)]) ).
cnf(5265,negated_conjecture,
( ~ v1_yellow_0(k7_lattice3(esk2_0))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk2_0)) ),
inference(sr,[status(thm)],[5264,690,theory(equality)]) ).
cnf(5293,negated_conjecture,
( ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v2_yellow_0(esk2_0)
| ~ l1_orders_2(esk2_0) ),
inference(spm,[status(thm)],[5265,452,theory(equality)]) ).
cnf(5296,negated_conjecture,
( ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| $false
| ~ l1_orders_2(esk2_0) ),
inference(rw,[status(thm)],[5293,179,theory(equality)]) ).
cnf(5297,negated_conjecture,
( ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| $false
| $false ),
inference(rw,[status(thm)],[5296,177,theory(equality)]) ).
cnf(5298,negated_conjecture,
( ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk2_0)) ),
inference(cn,[status(thm)],[5297,theory(equality)]) ).
cnf(5302,negated_conjecture,
( ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v2_lattice3(esk2_0)
| ~ l1_orders_2(esk2_0) ),
inference(spm,[status(thm)],[5298,561,theory(equality)]) ).
cnf(5304,negated_conjecture,
( ~ v4_orders_2(k7_lattice3(esk2_0))
| $false
| ~ l1_orders_2(esk2_0) ),
inference(rw,[status(thm)],[5302,178,theory(equality)]) ).
cnf(5305,negated_conjecture,
( ~ v4_orders_2(k7_lattice3(esk2_0))
| $false
| $false ),
inference(rw,[status(thm)],[5304,177,theory(equality)]) ).
cnf(5306,negated_conjecture,
~ v4_orders_2(k7_lattice3(esk2_0)),
inference(cn,[status(thm)],[5305,theory(equality)]) ).
cnf(5310,negated_conjecture,
( ~ v4_orders_2(esk2_0)
| ~ l1_orders_2(esk2_0) ),
inference(spm,[status(thm)],[5306,349,theory(equality)]) ).
cnf(5311,negated_conjecture,
( $false
| ~ l1_orders_2(esk2_0) ),
inference(rw,[status(thm)],[5310,180,theory(equality)]) ).
cnf(5312,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[5311,177,theory(equality)]) ).
cnf(5313,negated_conjecture,
$false,
inference(cn,[status(thm)],[5312,theory(equality)]) ).
cnf(5314,negated_conjecture,
$false,
5313,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT347+1.p
% --creating new selector for []
% -running prover on /tmp/tmpdalPa_/sel_LAT347+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT347+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT347+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT347+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
%
%------------------------------------------------------------------------------