TSTP Solution File: CAT025+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CAT025+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 05:14:39 EST 2010
% Result : Theorem 0.30s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 6
% Syntax : Number of formulae : 91 ( 10 unt; 0 def)
% Number of atoms : 573 ( 0 equ)
% Maximal formula atoms : 19 ( 6 avg)
% Number of connectives : 865 ( 383 ~; 404 |; 63 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 92 ( 0 sgn 60 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(15,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ( v2_cat_1(k11_cat_2(X1,X2))
& l1_cat_1(k11_cat_2(X1,X2)) ) ),
file('/tmp/tmpsVQMwJ/sel_CAT025+1.p_1',dt_k11_cat_2) ).
fof(19,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ( v1_cat_1(k12_nattra_1(X1,X2))
& v2_cat_1(k12_nattra_1(X1,X2))
& l1_cat_1(k12_nattra_1(X1,X2)) ) ),
file('/tmp/tmpsVQMwJ/sel_CAT025+1.p_1',dt_k12_nattra_1) ).
fof(27,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> v8_cat_1(k7_isocat_2(X1,X2,X3),k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,X3))) ) ) ),
file('/tmp/tmpsVQMwJ/sel_CAT025+1.p_1',t33_isocat_2) ).
fof(31,conjecture,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> r1_isocat_1(k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,X3))) ) ) ),
file('/tmp/tmpsVQMwJ/sel_CAT025+1.p_1',t34_isocat_2) ).
fof(33,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ( r1_isocat_1(X1,X2)
<=> ? [X3] :
( m2_cat_1(X3,X1,X2)
& v8_cat_1(X3,X1,X2) ) ) ) ),
file('/tmp/tmpsVQMwJ/sel_CAT025+1.p_1',d4_isocat_1) ).
fof(42,axiom,
! [X1,X2,X3] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& v2_cat_1(X3)
& l1_cat_1(X3) )
=> m2_cat_1(k7_isocat_2(X1,X2,X3),k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,X3))) ),
file('/tmp/tmpsVQMwJ/sel_CAT025+1.p_1',dt_k7_isocat_2) ).
fof(50,negated_conjecture,
~ ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> r1_isocat_1(k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,X3))) ) ) ),
inference(assume_negation,[status(cth)],[31]) ).
fof(121,plain,
! [X1,X2] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ( v2_cat_1(k11_cat_2(X1,X2))
& l1_cat_1(k11_cat_2(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(122,plain,
! [X3,X4] :
( ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ( v2_cat_1(k11_cat_2(X3,X4))
& l1_cat_1(k11_cat_2(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[121]) ).
fof(123,plain,
! [X3,X4] :
( ( v2_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) )
& ( l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) ) ),
inference(distribute,[status(thm)],[122]) ).
cnf(124,plain,
( l1_cat_1(k11_cat_2(X2,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(125,plain,
( v2_cat_1(k11_cat_2(X2,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[123]) ).
fof(133,plain,
! [X1,X2] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ( v1_cat_1(k12_nattra_1(X1,X2))
& v2_cat_1(k12_nattra_1(X1,X2))
& l1_cat_1(k12_nattra_1(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(134,plain,
! [X3,X4] :
( ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ( v1_cat_1(k12_nattra_1(X3,X4))
& v2_cat_1(k12_nattra_1(X3,X4))
& l1_cat_1(k12_nattra_1(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[133]) ).
fof(135,plain,
! [X3,X4] :
( ( v1_cat_1(k12_nattra_1(X3,X4))
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) )
& ( v2_cat_1(k12_nattra_1(X3,X4))
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) )
& ( l1_cat_1(k12_nattra_1(X3,X4))
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) ) ),
inference(distribute,[status(thm)],[134]) ).
cnf(136,plain,
( l1_cat_1(k12_nattra_1(X2,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[135]) ).
cnf(137,plain,
( v2_cat_1(k12_nattra_1(X2,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[135]) ).
fof(162,plain,
! [X1] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ! [X2] :
( ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ! [X3] :
( ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| v8_cat_1(k7_isocat_2(X1,X2,X3),k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,X3))) ) ) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(163,plain,
! [X4] :
( ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ! [X5] :
( ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ! [X6] :
( ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| v8_cat_1(k7_isocat_2(X4,X5,X6),k12_nattra_1(k11_cat_2(X4,X5),X6),k12_nattra_1(X4,k12_nattra_1(X5,X6))) ) ) ),
inference(variable_rename,[status(thm)],[162]) ).
fof(164,plain,
! [X4,X5,X6] :
( ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| v8_cat_1(k7_isocat_2(X4,X5,X6),k12_nattra_1(k11_cat_2(X4,X5),X6),k12_nattra_1(X4,k12_nattra_1(X5,X6)))
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) ),
inference(shift_quantors,[status(thm)],[163]) ).
cnf(165,plain,
( v8_cat_1(k7_isocat_2(X1,X2,X3),k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ),
inference(split_conjunct,[status(thm)],[164]) ).
fof(176,negated_conjecture,
? [X1] :
( v2_cat_1(X1)
& l1_cat_1(X1)
& ? [X2] :
( v2_cat_1(X2)
& l1_cat_1(X2)
& ? [X3] :
( v2_cat_1(X3)
& l1_cat_1(X3)
& ~ r1_isocat_1(k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,X3))) ) ) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(177,negated_conjecture,
? [X4] :
( v2_cat_1(X4)
& l1_cat_1(X4)
& ? [X5] :
( v2_cat_1(X5)
& l1_cat_1(X5)
& ? [X6] :
( v2_cat_1(X6)
& l1_cat_1(X6)
& ~ r1_isocat_1(k12_nattra_1(k11_cat_2(X4,X5),X6),k12_nattra_1(X4,k12_nattra_1(X5,X6))) ) ) ),
inference(variable_rename,[status(thm)],[176]) ).
fof(178,negated_conjecture,
( v2_cat_1(esk6_0)
& l1_cat_1(esk6_0)
& v2_cat_1(esk7_0)
& l1_cat_1(esk7_0)
& v2_cat_1(esk8_0)
& l1_cat_1(esk8_0)
& ~ r1_isocat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0),k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0))) ),
inference(skolemize,[status(esa)],[177]) ).
cnf(179,negated_conjecture,
~ r1_isocat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0),k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0))),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(180,negated_conjecture,
l1_cat_1(esk8_0),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(181,negated_conjecture,
v2_cat_1(esk8_0),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(182,negated_conjecture,
l1_cat_1(esk7_0),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(183,negated_conjecture,
v2_cat_1(esk7_0),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(184,negated_conjecture,
l1_cat_1(esk6_0),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(185,negated_conjecture,
v2_cat_1(esk6_0),
inference(split_conjunct,[status(thm)],[178]) ).
fof(189,plain,
! [X1] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ! [X2] :
( ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ( ( ~ r1_isocat_1(X1,X2)
| ? [X3] :
( m2_cat_1(X3,X1,X2)
& v8_cat_1(X3,X1,X2) ) )
& ( ! [X3] :
( ~ m2_cat_1(X3,X1,X2)
| ~ v8_cat_1(X3,X1,X2) )
| r1_isocat_1(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(190,plain,
! [X4] :
( ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ! [X5] :
( ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ( ( ~ r1_isocat_1(X4,X5)
| ? [X6] :
( m2_cat_1(X6,X4,X5)
& v8_cat_1(X6,X4,X5) ) )
& ( ! [X7] :
( ~ m2_cat_1(X7,X4,X5)
| ~ v8_cat_1(X7,X4,X5) )
| r1_isocat_1(X4,X5) ) ) ) ),
inference(variable_rename,[status(thm)],[189]) ).
fof(191,plain,
! [X4] :
( ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ! [X5] :
( ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ( ( ~ r1_isocat_1(X4,X5)
| ( m2_cat_1(esk9_2(X4,X5),X4,X5)
& v8_cat_1(esk9_2(X4,X5),X4,X5) ) )
& ( ! [X7] :
( ~ m2_cat_1(X7,X4,X5)
| ~ v8_cat_1(X7,X4,X5) )
| r1_isocat_1(X4,X5) ) ) ) ),
inference(skolemize,[status(esa)],[190]) ).
fof(192,plain,
! [X4,X5,X7] :
( ( ( ~ m2_cat_1(X7,X4,X5)
| ~ v8_cat_1(X7,X4,X5)
| r1_isocat_1(X4,X5) )
& ( ~ r1_isocat_1(X4,X5)
| ( m2_cat_1(esk9_2(X4,X5),X4,X5)
& v8_cat_1(esk9_2(X4,X5),X4,X5) ) ) )
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) ),
inference(shift_quantors,[status(thm)],[191]) ).
fof(193,plain,
! [X4,X5,X7] :
( ( ~ m2_cat_1(X7,X4,X5)
| ~ v8_cat_1(X7,X4,X5)
| r1_isocat_1(X4,X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) )
& ( m2_cat_1(esk9_2(X4,X5),X4,X5)
| ~ r1_isocat_1(X4,X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) )
& ( v8_cat_1(esk9_2(X4,X5),X4,X5)
| ~ r1_isocat_1(X4,X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) ) ),
inference(distribute,[status(thm)],[192]) ).
cnf(196,plain,
( r1_isocat_1(X1,X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ v8_cat_1(X3,X1,X2)
| ~ m2_cat_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[193]) ).
fof(218,plain,
! [X1,X2,X3] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| m2_cat_1(k7_isocat_2(X1,X2,X3),k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,X3))) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(219,plain,
! [X4,X5,X6] :
( ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| m2_cat_1(k7_isocat_2(X4,X5,X6),k12_nattra_1(k11_cat_2(X4,X5),X6),k12_nattra_1(X4,k12_nattra_1(X5,X6))) ),
inference(variable_rename,[status(thm)],[218]) ).
cnf(220,plain,
( m2_cat_1(k7_isocat_2(X1,X2,X3),k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,X3)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[219]) ).
cnf(290,plain,
( r1_isocat_1(k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,X3)))
| ~ m2_cat_1(k7_isocat_2(X1,X2,X3),k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,X3)))
| ~ v2_cat_1(k12_nattra_1(X1,k12_nattra_1(X2,X3)))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(k12_nattra_1(X1,k12_nattra_1(X2,X3)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X1,X2),X3))
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1) ),
inference(spm,[status(thm)],[196,165,theory(equality)]) ).
cnf(545,plain,
( r1_isocat_1(k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,X3)))
| ~ v2_cat_1(k12_nattra_1(X1,k12_nattra_1(X2,X3)))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(X1,X2),X3))
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k12_nattra_1(X1,k12_nattra_1(X2,X3)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1) ),
inference(csr,[status(thm)],[290,220]) ).
cnf(546,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| ~ v2_cat_1(esk8_0)
| ~ v2_cat_1(esk7_0)
| ~ v2_cat_1(esk6_0)
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| ~ l1_cat_1(esk8_0)
| ~ l1_cat_1(esk7_0)
| ~ l1_cat_1(esk6_0) ),
inference(spm,[status(thm)],[179,545,theory(equality)]) ).
cnf(548,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| $false
| ~ v2_cat_1(esk7_0)
| ~ v2_cat_1(esk6_0)
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| ~ l1_cat_1(esk8_0)
| ~ l1_cat_1(esk7_0)
| ~ l1_cat_1(esk6_0) ),
inference(rw,[status(thm)],[546,181,theory(equality)]) ).
cnf(549,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| $false
| $false
| ~ v2_cat_1(esk6_0)
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| ~ l1_cat_1(esk8_0)
| ~ l1_cat_1(esk7_0)
| ~ l1_cat_1(esk6_0) ),
inference(rw,[status(thm)],[548,183,theory(equality)]) ).
cnf(550,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| $false
| $false
| $false
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| ~ l1_cat_1(esk8_0)
| ~ l1_cat_1(esk7_0)
| ~ l1_cat_1(esk6_0) ),
inference(rw,[status(thm)],[549,185,theory(equality)]) ).
cnf(551,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| $false
| $false
| $false
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| $false
| ~ l1_cat_1(esk7_0)
| ~ l1_cat_1(esk6_0) ),
inference(rw,[status(thm)],[550,180,theory(equality)]) ).
cnf(552,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| $false
| $false
| $false
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| $false
| $false
| ~ l1_cat_1(esk6_0) ),
inference(rw,[status(thm)],[551,182,theory(equality)]) ).
cnf(553,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| $false
| $false
| $false
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[552,184,theory(equality)]) ).
cnf(554,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ v2_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0)) ),
inference(cn,[status(thm)],[553,theory(equality)]) ).
cnf(556,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ v2_cat_1(esk8_0)
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(esk8_0) ),
inference(spm,[status(thm)],[554,137,theory(equality)]) ).
cnf(557,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| $false
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(esk8_0) ),
inference(rw,[status(thm)],[556,181,theory(equality)]) ).
cnf(558,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| $false
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| $false ),
inference(rw,[status(thm)],[557,180,theory(equality)]) ).
cnf(559,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk6_0,esk7_0),esk8_0))
| ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0)) ),
inference(cn,[status(thm)],[558,theory(equality)]) ).
cnf(629,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ v2_cat_1(esk8_0)
| ~ l1_cat_1(esk8_0) ),
inference(spm,[status(thm)],[559,136,theory(equality)]) ).
cnf(630,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| $false
| ~ l1_cat_1(esk8_0) ),
inference(rw,[status(thm)],[629,181,theory(equality)]) ).
cnf(631,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| $false
| $false ),
inference(rw,[status(thm)],[630,180,theory(equality)]) ).
cnf(632,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0)) ),
inference(cn,[status(thm)],[631,theory(equality)]) ).
cnf(633,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ v2_cat_1(esk6_0)
| ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(esk6_0)
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0)) ),
inference(spm,[status(thm)],[632,137,theory(equality)]) ).
cnf(634,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| $false
| ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(esk6_0)
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0)) ),
inference(rw,[status(thm)],[633,185,theory(equality)]) ).
cnf(635,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| $false
| ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0)) ),
inference(rw,[status(thm)],[634,184,theory(equality)]) ).
cnf(636,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk6_0,k12_nattra_1(esk7_0,esk8_0)))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0)) ),
inference(cn,[status(thm)],[635,theory(equality)]) ).
cnf(637,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ v2_cat_1(esk6_0)
| ~ l1_cat_1(esk6_0) ),
inference(spm,[status(thm)],[636,136,theory(equality)]) ).
cnf(638,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| ~ l1_cat_1(esk6_0) ),
inference(rw,[status(thm)],[637,185,theory(equality)]) ).
cnf(639,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| $false ),
inference(rw,[status(thm)],[638,184,theory(equality)]) ).
cnf(640,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0)) ),
inference(cn,[status(thm)],[639,theory(equality)]) ).
cnf(641,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ v2_cat_1(esk6_0)
| ~ v2_cat_1(esk7_0)
| ~ l1_cat_1(esk6_0)
| ~ l1_cat_1(esk7_0) ),
inference(spm,[status(thm)],[640,125,theory(equality)]) ).
cnf(642,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| ~ v2_cat_1(esk7_0)
| ~ l1_cat_1(esk6_0)
| ~ l1_cat_1(esk7_0) ),
inference(rw,[status(thm)],[641,185,theory(equality)]) ).
cnf(643,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| $false
| ~ l1_cat_1(esk6_0)
| ~ l1_cat_1(esk7_0) ),
inference(rw,[status(thm)],[642,183,theory(equality)]) ).
cnf(644,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| $false
| $false
| ~ l1_cat_1(esk7_0) ),
inference(rw,[status(thm)],[643,184,theory(equality)]) ).
cnf(645,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[644,182,theory(equality)]) ).
cnf(646,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k11_cat_2(esk6_0,esk7_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0)) ),
inference(cn,[status(thm)],[645,theory(equality)]) ).
cnf(667,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ v2_cat_1(esk6_0)
| ~ v2_cat_1(esk7_0)
| ~ l1_cat_1(esk6_0)
| ~ l1_cat_1(esk7_0) ),
inference(spm,[status(thm)],[646,124,theory(equality)]) ).
cnf(668,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| ~ v2_cat_1(esk7_0)
| ~ l1_cat_1(esk6_0)
| ~ l1_cat_1(esk7_0) ),
inference(rw,[status(thm)],[667,185,theory(equality)]) ).
cnf(669,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| $false
| ~ l1_cat_1(esk6_0)
| ~ l1_cat_1(esk7_0) ),
inference(rw,[status(thm)],[668,183,theory(equality)]) ).
cnf(670,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| $false
| $false
| ~ l1_cat_1(esk7_0) ),
inference(rw,[status(thm)],[669,184,theory(equality)]) ).
cnf(671,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[670,182,theory(equality)]) ).
cnf(672,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0)) ),
inference(cn,[status(thm)],[671,theory(equality)]) ).
cnf(673,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| ~ v2_cat_1(esk7_0)
| ~ v2_cat_1(esk8_0)
| ~ l1_cat_1(esk7_0)
| ~ l1_cat_1(esk8_0) ),
inference(spm,[status(thm)],[672,137,theory(equality)]) ).
cnf(674,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| ~ v2_cat_1(esk8_0)
| ~ l1_cat_1(esk7_0)
| ~ l1_cat_1(esk8_0) ),
inference(rw,[status(thm)],[673,183,theory(equality)]) ).
cnf(675,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| $false
| ~ l1_cat_1(esk7_0)
| ~ l1_cat_1(esk8_0) ),
inference(rw,[status(thm)],[674,181,theory(equality)]) ).
cnf(676,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| $false
| $false
| ~ l1_cat_1(esk8_0) ),
inference(rw,[status(thm)],[675,182,theory(equality)]) ).
cnf(677,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[676,180,theory(equality)]) ).
cnf(678,negated_conjecture,
~ l1_cat_1(k12_nattra_1(esk7_0,esk8_0)),
inference(cn,[status(thm)],[677,theory(equality)]) ).
cnf(679,negated_conjecture,
( ~ v2_cat_1(esk7_0)
| ~ v2_cat_1(esk8_0)
| ~ l1_cat_1(esk7_0)
| ~ l1_cat_1(esk8_0) ),
inference(spm,[status(thm)],[678,136,theory(equality)]) ).
cnf(680,negated_conjecture,
( $false
| ~ v2_cat_1(esk8_0)
| ~ l1_cat_1(esk7_0)
| ~ l1_cat_1(esk8_0) ),
inference(rw,[status(thm)],[679,183,theory(equality)]) ).
cnf(681,negated_conjecture,
( $false
| $false
| ~ l1_cat_1(esk7_0)
| ~ l1_cat_1(esk8_0) ),
inference(rw,[status(thm)],[680,181,theory(equality)]) ).
cnf(682,negated_conjecture,
( $false
| $false
| $false
| ~ l1_cat_1(esk8_0) ),
inference(rw,[status(thm)],[681,182,theory(equality)]) ).
cnf(683,negated_conjecture,
( $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[682,180,theory(equality)]) ).
cnf(684,negated_conjecture,
$false,
inference(cn,[status(thm)],[683,theory(equality)]) ).
cnf(685,negated_conjecture,
$false,
684,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CAT/CAT025+1.p
% --creating new selector for []
% -running prover on /tmp/tmpsVQMwJ/sel_CAT025+1.p_1 with time limit 29
% -prover status Theorem
% Problem CAT025+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CAT/CAT025+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CAT/CAT025+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
%
%------------------------------------------------------------------------------