TSTP Solution File: CAT032+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CAT032+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 05:31:20 EST 2010
% Result : Theorem 0.60s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 6
% Syntax : Number of formulae : 97 ( 10 unt; 0 def)
% Number of atoms : 648 ( 0 equ)
% Maximal formula atoms : 19 ( 6 avg)
% Number of connectives : 995 ( 444 ~; 473 |; 63 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 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(12,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(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ),
file('/tmp/tmpPeQXKh/sel_CAT032+1.p_1',dt_k17_isocat_2) ).
fof(16,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/tmpPeQXKh/sel_CAT032+1.p_1',dt_k11_cat_2) ).
fof(20,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/tmpPeQXKh/sel_CAT032+1.p_1',dt_k12_nattra_1) ).
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/tmpPeQXKh/sel_CAT032+1.p_1',d4_isocat_1) ).
fof(35,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(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ) ) ),
file('/tmp/tmpPeQXKh/sel_CAT032+1.p_1',t48_isocat_2) ).
fof(45,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(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ) ) ),
file('/tmp/tmpPeQXKh/sel_CAT032+1.p_1',t49_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(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ) ) ),
inference(assume_negation,[status(cth)],[45]) ).
fof(112,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(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(113,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(k17_isocat_2(X4,X5,X6),k12_nattra_1(X4,k11_cat_2(X5,X6)),k11_cat_2(k12_nattra_1(X4,X5),k12_nattra_1(X4,X6))) ),
inference(variable_rename,[status(thm)],[112]) ).
cnf(114,plain,
( m2_cat_1(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,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)],[113]) ).
fof(125,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)],[16]) ).
fof(126,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)],[125]) ).
fof(127,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)],[126]) ).
cnf(128,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)],[127]) ).
cnf(129,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)],[127]) ).
fof(137,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)],[20]) ).
fof(138,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)],[137]) ).
fof(139,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)],[138]) ).
cnf(140,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)],[139]) ).
cnf(141,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)],[139]) ).
fof(182,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(183,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)],[182]) ).
fof(184,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(esk7_2(X4,X5),X4,X5)
& v8_cat_1(esk7_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)],[183]) ).
fof(185,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(esk7_2(X4,X5),X4,X5)
& v8_cat_1(esk7_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)],[184]) ).
fof(186,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(esk7_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(esk7_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)],[185]) ).
cnf(189,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)],[186]) ).
fof(193,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(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ) ) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(194,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(k17_isocat_2(X4,X5,X6),k12_nattra_1(X4,k11_cat_2(X5,X6)),k11_cat_2(k12_nattra_1(X4,X5),k12_nattra_1(X4,X6))) ) ) ),
inference(variable_rename,[status(thm)],[193]) ).
fof(195,plain,
! [X4,X5,X6] :
( ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| v8_cat_1(k17_isocat_2(X4,X5,X6),k12_nattra_1(X4,k11_cat_2(X5,X6)),k11_cat_2(k12_nattra_1(X4,X5),k12_nattra_1(X4,X6)))
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4) ),
inference(shift_quantors,[status(thm)],[194]) ).
cnf(196,plain,
( v8_cat_1(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,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)],[195]) ).
fof(219,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(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ) ) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(220,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(X4,k11_cat_2(X5,X6)),k11_cat_2(k12_nattra_1(X4,X5),k12_nattra_1(X4,X6))) ) ) ),
inference(variable_rename,[status(thm)],[219]) ).
fof(221,negated_conjecture,
( v2_cat_1(esk10_0)
& l1_cat_1(esk10_0)
& v2_cat_1(esk11_0)
& l1_cat_1(esk11_0)
& v2_cat_1(esk12_0)
& l1_cat_1(esk12_0)
& ~ r1_isocat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)),k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0))) ),
inference(skolemize,[status(esa)],[220]) ).
cnf(222,negated_conjecture,
~ r1_isocat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)),k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0))),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(223,negated_conjecture,
l1_cat_1(esk12_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(224,negated_conjecture,
v2_cat_1(esk12_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(225,negated_conjecture,
l1_cat_1(esk11_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(226,negated_conjecture,
v2_cat_1(esk11_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(227,negated_conjecture,
l1_cat_1(esk10_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(228,negated_conjecture,
v2_cat_1(esk10_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(290,plain,
( r1_isocat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
| ~ m2_cat_1(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
| ~ v2_cat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
| ~ l1_cat_1(k12_nattra_1(X1,k11_cat_2(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)],[189,196,theory(equality)]) ).
cnf(545,plain,
( r1_isocat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
| ~ v2_cat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)))
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
| ~ l1_cat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1) ),
inference(csr,[status(thm)],[290,114]) ).
cnf(546,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ v2_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| ~ v2_cat_1(esk12_0)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk10_0)
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ l1_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| ~ l1_cat_1(esk12_0)
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk10_0) ),
inference(spm,[status(thm)],[222,545,theory(equality)]) ).
cnf(548,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ v2_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| $false
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk10_0)
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ l1_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| ~ l1_cat_1(esk12_0)
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk10_0) ),
inference(rw,[status(thm)],[546,224,theory(equality)]) ).
cnf(549,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ v2_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| $false
| $false
| ~ v2_cat_1(esk10_0)
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ l1_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| ~ l1_cat_1(esk12_0)
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk10_0) ),
inference(rw,[status(thm)],[548,226,theory(equality)]) ).
cnf(550,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ v2_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| $false
| $false
| $false
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ l1_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| ~ l1_cat_1(esk12_0)
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk10_0) ),
inference(rw,[status(thm)],[549,228,theory(equality)]) ).
cnf(551,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ v2_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| $false
| $false
| $false
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ l1_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| $false
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk10_0) ),
inference(rw,[status(thm)],[550,223,theory(equality)]) ).
cnf(552,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ v2_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| $false
| $false
| $false
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ l1_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| $false
| $false
| ~ l1_cat_1(esk10_0) ),
inference(rw,[status(thm)],[551,225,theory(equality)]) ).
cnf(553,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ v2_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| $false
| $false
| $false
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ l1_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[552,227,theory(equality)]) ).
cnf(554,negated_conjecture,
( ~ v2_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ v2_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ l1_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0))) ),
inference(cn,[status(thm)],[553,theory(equality)]) ).
cnf(1159,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(esk10_0,esk11_0),k12_nattra_1(esk10_0,esk12_0)))
| ~ l1_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0)) ),
inference(spm,[status(thm)],[554,129,theory(equality)]) ).
cnf(3804,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0)) ),
inference(csr,[status(thm)],[1159,128]) ).
cnf(3805,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(k11_cat_2(esk11_0,esk12_0))
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(k11_cat_2(esk11_0,esk12_0)) ),
inference(spm,[status(thm)],[3804,141,theory(equality)]) ).
cnf(3806,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| $false
| ~ v2_cat_1(k11_cat_2(esk11_0,esk12_0))
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(k11_cat_2(esk11_0,esk12_0)) ),
inference(rw,[status(thm)],[3805,228,theory(equality)]) ).
cnf(3807,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| $false
| ~ v2_cat_1(k11_cat_2(esk11_0,esk12_0))
| $false
| ~ l1_cat_1(k11_cat_2(esk11_0,esk12_0)) ),
inference(rw,[status(thm)],[3806,227,theory(equality)]) ).
cnf(3808,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,k11_cat_2(esk11_0,esk12_0)))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ v2_cat_1(k11_cat_2(esk11_0,esk12_0))
| ~ l1_cat_1(k11_cat_2(esk11_0,esk12_0)) ),
inference(cn,[status(thm)],[3807,theory(equality)]) ).
cnf(3809,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ v2_cat_1(k11_cat_2(esk11_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k11_cat_2(esk11_0,esk12_0))
| ~ v2_cat_1(esk10_0)
| ~ l1_cat_1(esk10_0) ),
inference(spm,[status(thm)],[3808,140,theory(equality)]) ).
cnf(3810,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ v2_cat_1(k11_cat_2(esk11_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k11_cat_2(esk11_0,esk12_0))
| $false
| ~ l1_cat_1(esk10_0) ),
inference(rw,[status(thm)],[3809,228,theory(equality)]) ).
cnf(3811,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ v2_cat_1(k11_cat_2(esk11_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k11_cat_2(esk11_0,esk12_0))
| $false
| $false ),
inference(rw,[status(thm)],[3810,227,theory(equality)]) ).
cnf(3812,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ v2_cat_1(k11_cat_2(esk11_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k11_cat_2(esk11_0,esk12_0)) ),
inference(cn,[status(thm)],[3811,theory(equality)]) ).
cnf(3819,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k11_cat_2(esk11_0,esk12_0))
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk12_0)
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk12_0) ),
inference(spm,[status(thm)],[3812,129,theory(equality)]) ).
cnf(3820,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k11_cat_2(esk11_0,esk12_0))
| $false
| ~ v2_cat_1(esk12_0)
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk12_0) ),
inference(rw,[status(thm)],[3819,226,theory(equality)]) ).
cnf(3821,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k11_cat_2(esk11_0,esk12_0))
| $false
| $false
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk12_0) ),
inference(rw,[status(thm)],[3820,224,theory(equality)]) ).
cnf(3822,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k11_cat_2(esk11_0,esk12_0))
| $false
| $false
| $false
| ~ l1_cat_1(esk12_0) ),
inference(rw,[status(thm)],[3821,225,theory(equality)]) ).
cnf(3823,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k11_cat_2(esk11_0,esk12_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3822,223,theory(equality)]) ).
cnf(3824,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k11_cat_2(esk11_0,esk12_0)) ),
inference(cn,[status(thm)],[3823,theory(equality)]) ).
cnf(3825,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk12_0)
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk12_0) ),
inference(spm,[status(thm)],[3824,128,theory(equality)]) ).
cnf(3826,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| $false
| ~ v2_cat_1(esk12_0)
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk12_0) ),
inference(rw,[status(thm)],[3825,226,theory(equality)]) ).
cnf(3827,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| $false
| $false
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk12_0) ),
inference(rw,[status(thm)],[3826,224,theory(equality)]) ).
cnf(3828,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| $false
| $false
| $false
| ~ l1_cat_1(esk12_0) ),
inference(rw,[status(thm)],[3827,225,theory(equality)]) ).
cnf(3829,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3828,223,theory(equality)]) ).
cnf(3830,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0)) ),
inference(cn,[status(thm)],[3829,theory(equality)]) ).
cnf(3831,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(esk12_0)
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk12_0) ),
inference(spm,[status(thm)],[3830,141,theory(equality)]) ).
cnf(3832,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| $false
| ~ v2_cat_1(esk12_0)
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk12_0) ),
inference(rw,[status(thm)],[3831,228,theory(equality)]) ).
cnf(3833,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| $false
| $false
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk12_0) ),
inference(rw,[status(thm)],[3832,224,theory(equality)]) ).
cnf(3834,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| $false
| $false
| $false
| ~ l1_cat_1(esk12_0) ),
inference(rw,[status(thm)],[3833,227,theory(equality)]) ).
cnf(3835,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3834,223,theory(equality)]) ).
cnf(3836,negated_conjecture,
( ~ v2_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0)) ),
inference(cn,[status(thm)],[3835,theory(equality)]) ).
cnf(3837,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(esk11_0)
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk11_0) ),
inference(spm,[status(thm)],[3836,141,theory(equality)]) ).
cnf(3838,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| $false
| ~ v2_cat_1(esk11_0)
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk11_0) ),
inference(rw,[status(thm)],[3837,228,theory(equality)]) ).
cnf(3839,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| $false
| $false
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk11_0) ),
inference(rw,[status(thm)],[3838,226,theory(equality)]) ).
cnf(3840,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| $false
| $false
| $false
| ~ l1_cat_1(esk11_0) ),
inference(rw,[status(thm)],[3839,227,theory(equality)]) ).
cnf(3841,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3840,225,theory(equality)]) ).
cnf(3842,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ l1_cat_1(k12_nattra_1(esk10_0,esk12_0)) ),
inference(cn,[status(thm)],[3841,theory(equality)]) ).
cnf(3846,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(esk12_0)
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk12_0) ),
inference(spm,[status(thm)],[3842,140,theory(equality)]) ).
cnf(3847,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| $false
| ~ v2_cat_1(esk12_0)
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk12_0) ),
inference(rw,[status(thm)],[3846,228,theory(equality)]) ).
cnf(3848,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| $false
| $false
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk12_0) ),
inference(rw,[status(thm)],[3847,224,theory(equality)]) ).
cnf(3849,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| $false
| $false
| $false
| ~ l1_cat_1(esk12_0) ),
inference(rw,[status(thm)],[3848,227,theory(equality)]) ).
cnf(3850,negated_conjecture,
( ~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3849,223,theory(equality)]) ).
cnf(3851,negated_conjecture,
~ l1_cat_1(k12_nattra_1(esk10_0,esk11_0)),
inference(cn,[status(thm)],[3850,theory(equality)]) ).
cnf(3862,negated_conjecture,
( ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(esk11_0)
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk11_0) ),
inference(spm,[status(thm)],[3851,140,theory(equality)]) ).
cnf(3863,negated_conjecture,
( $false
| ~ v2_cat_1(esk11_0)
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk11_0) ),
inference(rw,[status(thm)],[3862,228,theory(equality)]) ).
cnf(3864,negated_conjecture,
( $false
| $false
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk11_0) ),
inference(rw,[status(thm)],[3863,226,theory(equality)]) ).
cnf(3865,negated_conjecture,
( $false
| $false
| $false
| ~ l1_cat_1(esk11_0) ),
inference(rw,[status(thm)],[3864,227,theory(equality)]) ).
cnf(3866,negated_conjecture,
( $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3865,225,theory(equality)]) ).
cnf(3867,negated_conjecture,
$false,
inference(cn,[status(thm)],[3866,theory(equality)]) ).
cnf(3868,negated_conjecture,
$false,
3867,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CAT/CAT032+1.p
% --creating new selector for []
% -running prover on /tmp/tmpPeQXKh/sel_CAT032+1.p_1 with time limit 29
% -prover status Theorem
% Problem CAT032+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CAT/CAT032+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CAT/CAT032+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
%
%------------------------------------------------------------------------------