TSTP Solution File: CAT026+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CAT026+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 05:15:22 EST 2010
% Result : Theorem 75.79s
% Output : CNFRefutation 75.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 12
% Syntax : Number of formulae : 154 ( 13 unt; 0 def)
% Number of atoms : 1317 ( 24 equ)
% Maximal formula atoms : 15 ( 8 avg)
% Number of connectives : 2106 ( 943 ~;1054 |; 73 &)
% ( 2 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-5 aty)
% Number of variables : 378 ( 1 sgn 127 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2,X3,X4] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X1,X2)
& m2_cat_1(X4,X1,X2) )
=> r2_nattra_1(X1,X2,X3,X3) ),
file('/tmp/tmp_mWiyX/sel_CAT026+1.p_2',reflexivity_r2_nattra_1) ).
fof(6,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) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> k12_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,k9_isocat_2(X2,X3)) ) ) ) ),
file('/tmp/tmp_mWiyX/sel_CAT026+1.p_2',d8_isocat_2) ).
fof(14,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2) ),
file('/tmp/tmp_mWiyX/sel_CAT026+1.p_2',dt_k9_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/tmp_mWiyX/sel_CAT026+1.p_2',dt_k11_cat_2) ).
fof(17,axiom,
! [X1,X2,X3,X4,X5] :
( ( 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(X4,X1,X2)
& m2_cat_1(X5,X2,X3) )
=> k2_isocat_1(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/tmp/tmp_mWiyX/sel_CAT026+1.p_2',redefinition_k2_isocat_1) ).
fof(33,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) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> k11_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3)) ) ) ) ),
file('/tmp/tmp_mWiyX/sel_CAT026+1.p_2',d7_isocat_2) ).
fof(41,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1) ),
file('/tmp/tmp_mWiyX/sel_CAT026+1.p_2',dt_k8_isocat_2) ).
fof(42,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) )
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X2,X3)
=> ! [X7] :
( m2_cat_1(X7,X2,X3)
=> ( ( r2_nattra_1(X1,X2,X4,X5)
& r2_nattra_1(X2,X3,X6,X7) )
=> r2_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X6),k2_isocat_1(X1,X2,X3,X5,X7)) ) ) ) ) ) ) ) ),
file('/tmp/tmp_mWiyX/sel_CAT026+1.p_2',t27_isocat_1) ).
fof(47,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ? [X3] : m2_cat_1(X3,X1,X2) ),
file('/tmp/tmp_mWiyX/sel_CAT026+1.p_2',existence_m2_cat_1) ).
fof(48,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) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> ! [X5] :
( m2_cat_1(X5,X1,k11_cat_2(X2,X3))
=> ( r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5)
=> ( r2_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5))
& r2_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,X5)) ) ) ) ) ) ) ),
file('/tmp/tmp_mWiyX/sel_CAT026+1.p_2',t38_isocat_2) ).
fof(51,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) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> ! [X5] :
( m2_cat_1(X5,X1,k11_cat_2(X2,X3))
=> ( r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5)
=> ( r2_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5))
& r2_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,X5)) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[48]) ).
fof(59,plain,
! [X1,X2,X3,X4] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| r2_nattra_1(X1,X2,X3,X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(60,plain,
! [X5,X6,X7,X8] :
( ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ m2_cat_1(X7,X5,X6)
| ~ m2_cat_1(X8,X5,X6)
| r2_nattra_1(X5,X6,X7,X7) ),
inference(variable_rename,[status(thm)],[59]) ).
cnf(61,plain,
( r2_nattra_1(X1,X2,X3,X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[60]) ).
fof(71,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)
| ! [X4] :
( ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| k12_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,k9_isocat_2(X2,X3)) ) ) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(72,plain,
! [X5] :
( ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ! [X6] :
( ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ! [X7] :
( ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ! [X8] :
( ~ m2_cat_1(X8,X5,k11_cat_2(X6,X7))
| k12_isocat_2(X5,X6,X7,X8) = k2_isocat_1(X5,k11_cat_2(X6,X7),X7,X8,k9_isocat_2(X6,X7)) ) ) ) ),
inference(variable_rename,[status(thm)],[71]) ).
fof(73,plain,
! [X5,X6,X7,X8] :
( ~ m2_cat_1(X8,X5,k11_cat_2(X6,X7))
| k12_isocat_2(X5,X6,X7,X8) = k2_isocat_1(X5,k11_cat_2(X6,X7),X7,X8,k9_isocat_2(X6,X7))
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5) ),
inference(shift_quantors,[status(thm)],[72]) ).
cnf(74,plain,
( k12_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,k9_isocat_2(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)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[73]) ).
fof(102,plain,
! [X1,X2] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(103,plain,
! [X3,X4] :
( ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| m2_cat_1(k9_isocat_2(X3,X4),k11_cat_2(X3,X4),X4) ),
inference(variable_rename,[status(thm)],[102]) ).
cnf(104,plain,
( m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[103]) ).
fof(108,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(109,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)],[108]) ).
fof(110,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)],[109]) ).
cnf(111,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)],[110]) ).
cnf(112,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)],[110]) ).
fof(113,plain,
! [X1,X2,X3,X4,X5] :
( ~ 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(X4,X1,X2)
| ~ m2_cat_1(X5,X2,X3)
| k2_isocat_1(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(114,plain,
! [X6,X7,X8,X9,X10] :
( ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8)
| ~ m2_cat_1(X9,X6,X7)
| ~ m2_cat_1(X10,X7,X8)
| k2_isocat_1(X6,X7,X8,X9,X10) = k5_relat_1(X9,X10) ),
inference(variable_rename,[status(thm)],[113]) ).
cnf(115,plain,
( k2_isocat_1(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m2_cat_1(X5,X2,X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ 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)],[114]) ).
fof(153,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)
| ! [X4] :
( ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| k11_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3)) ) ) ) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(154,plain,
! [X5] :
( ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ! [X6] :
( ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ! [X7] :
( ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ! [X8] :
( ~ m2_cat_1(X8,X5,k11_cat_2(X6,X7))
| k11_isocat_2(X5,X6,X7,X8) = k2_isocat_1(X5,k11_cat_2(X6,X7),X6,X8,k8_isocat_2(X6,X7)) ) ) ) ),
inference(variable_rename,[status(thm)],[153]) ).
fof(155,plain,
! [X5,X6,X7,X8] :
( ~ m2_cat_1(X8,X5,k11_cat_2(X6,X7))
| k11_isocat_2(X5,X6,X7,X8) = k2_isocat_1(X5,k11_cat_2(X6,X7),X6,X8,k8_isocat_2(X6,X7))
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5) ),
inference(shift_quantors,[status(thm)],[154]) ).
cnf(156,plain,
( k11_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(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)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[155]) ).
fof(177,plain,
! [X1,X2] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(178,plain,
! [X3,X4] :
( ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| m2_cat_1(k8_isocat_2(X3,X4),k11_cat_2(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[177]) ).
cnf(179,plain,
( m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[178]) ).
fof(180,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)
| ! [X4] :
( ~ m2_cat_1(X4,X1,X2)
| ! [X5] :
( ~ m2_cat_1(X5,X1,X2)
| ! [X6] :
( ~ m2_cat_1(X6,X2,X3)
| ! [X7] :
( ~ m2_cat_1(X7,X2,X3)
| ~ r2_nattra_1(X1,X2,X4,X5)
| ~ r2_nattra_1(X2,X3,X6,X7)
| r2_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X6),k2_isocat_1(X1,X2,X3,X5,X7)) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(181,plain,
! [X8] :
( ~ v2_cat_1(X8)
| ~ l1_cat_1(X8)
| ! [X9] :
( ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ! [X10] :
( ~ v2_cat_1(X10)
| ~ l1_cat_1(X10)
| ! [X11] :
( ~ m2_cat_1(X11,X8,X9)
| ! [X12] :
( ~ m2_cat_1(X12,X8,X9)
| ! [X13] :
( ~ m2_cat_1(X13,X9,X10)
| ! [X14] :
( ~ m2_cat_1(X14,X9,X10)
| ~ r2_nattra_1(X8,X9,X11,X12)
| ~ r2_nattra_1(X9,X10,X13,X14)
| r2_nattra_1(X8,X10,k2_isocat_1(X8,X9,X10,X11,X13),k2_isocat_1(X8,X9,X10,X12,X14)) ) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[180]) ).
fof(182,plain,
! [X8,X9,X10,X11,X12,X13,X14] :
( ~ m2_cat_1(X14,X9,X10)
| ~ r2_nattra_1(X8,X9,X11,X12)
| ~ r2_nattra_1(X9,X10,X13,X14)
| r2_nattra_1(X8,X10,k2_isocat_1(X8,X9,X10,X11,X13),k2_isocat_1(X8,X9,X10,X12,X14))
| ~ m2_cat_1(X13,X9,X10)
| ~ m2_cat_1(X12,X8,X9)
| ~ m2_cat_1(X11,X8,X9)
| ~ v2_cat_1(X10)
| ~ l1_cat_1(X10)
| ~ v2_cat_1(X9)
| ~ l1_cat_1(X9)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X8) ),
inference(shift_quantors,[status(thm)],[181]) ).
cnf(183,plain,
( r2_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X6),k2_isocat_1(X1,X2,X3,X5,X7))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X6,X2,X3)
| ~ r2_nattra_1(X2,X3,X6,X7)
| ~ r2_nattra_1(X1,X2,X4,X5)
| ~ m2_cat_1(X7,X2,X3) ),
inference(split_conjunct,[status(thm)],[182]) ).
fof(195,plain,
! [X1,X2] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ? [X3] : m2_cat_1(X3,X1,X2) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(196,plain,
! [X4,X5] :
( ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ? [X6] : m2_cat_1(X6,X4,X5) ),
inference(variable_rename,[status(thm)],[195]) ).
fof(197,plain,
! [X4,X5] :
( ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| m2_cat_1(esk8_2(X4,X5),X4,X5) ),
inference(skolemize,[status(esa)],[196]) ).
cnf(198,plain,
( m2_cat_1(esk8_2(X1,X2),X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[197]) ).
fof(199,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)
& ? [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
& ? [X5] :
( m2_cat_1(X5,X1,k11_cat_2(X2,X3))
& r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5)
& ( ~ r2_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5))
| ~ r2_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,X5)) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[51]) ).
fof(200,negated_conjecture,
? [X6] :
( v2_cat_1(X6)
& l1_cat_1(X6)
& ? [X7] :
( v2_cat_1(X7)
& l1_cat_1(X7)
& ? [X8] :
( v2_cat_1(X8)
& l1_cat_1(X8)
& ? [X9] :
( m2_cat_1(X9,X6,k11_cat_2(X7,X8))
& ? [X10] :
( m2_cat_1(X10,X6,k11_cat_2(X7,X8))
& r2_nattra_1(X6,k11_cat_2(X7,X8),X9,X10)
& ( ~ r2_nattra_1(X6,X7,k11_isocat_2(X6,X7,X8,X9),k11_isocat_2(X6,X7,X8,X10))
| ~ r2_nattra_1(X6,X8,k12_isocat_2(X6,X7,X8,X9),k12_isocat_2(X6,X7,X8,X10)) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[199]) ).
fof(201,negated_conjecture,
( v2_cat_1(esk9_0)
& l1_cat_1(esk9_0)
& v2_cat_1(esk10_0)
& l1_cat_1(esk10_0)
& v2_cat_1(esk11_0)
& l1_cat_1(esk11_0)
& m2_cat_1(esk12_0,esk9_0,k11_cat_2(esk10_0,esk11_0))
& m2_cat_1(esk13_0,esk9_0,k11_cat_2(esk10_0,esk11_0))
& r2_nattra_1(esk9_0,k11_cat_2(esk10_0,esk11_0),esk12_0,esk13_0)
& ( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k12_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0)) ) ),
inference(skolemize,[status(esa)],[200]) ).
cnf(202,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk11_0,k12_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0)) ),
inference(split_conjunct,[status(thm)],[201]) ).
cnf(203,negated_conjecture,
r2_nattra_1(esk9_0,k11_cat_2(esk10_0,esk11_0),esk12_0,esk13_0),
inference(split_conjunct,[status(thm)],[201]) ).
cnf(204,negated_conjecture,
m2_cat_1(esk13_0,esk9_0,k11_cat_2(esk10_0,esk11_0)),
inference(split_conjunct,[status(thm)],[201]) ).
cnf(205,negated_conjecture,
m2_cat_1(esk12_0,esk9_0,k11_cat_2(esk10_0,esk11_0)),
inference(split_conjunct,[status(thm)],[201]) ).
cnf(206,negated_conjecture,
l1_cat_1(esk11_0),
inference(split_conjunct,[status(thm)],[201]) ).
cnf(207,negated_conjecture,
v2_cat_1(esk11_0),
inference(split_conjunct,[status(thm)],[201]) ).
cnf(208,negated_conjecture,
l1_cat_1(esk10_0),
inference(split_conjunct,[status(thm)],[201]) ).
cnf(209,negated_conjecture,
v2_cat_1(esk10_0),
inference(split_conjunct,[status(thm)],[201]) ).
cnf(210,negated_conjecture,
l1_cat_1(esk9_0),
inference(split_conjunct,[status(thm)],[201]) ).
cnf(211,negated_conjecture,
v2_cat_1(esk9_0),
inference(split_conjunct,[status(thm)],[201]) ).
cnf(265,plain,
( r2_nattra_1(X1,X2,X3,X3)
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[61,198,theory(equality)]) ).
cnf(286,plain,
( k12_isocat_2(X1,X2,X3,X4) = k5_relat_1(X4,k9_isocat_2(X2,X3))
| ~ m2_cat_1(k9_isocat_2(X2,X3),k11_cat_2(X2,X3),X3)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ),
inference(spm,[status(thm)],[115,74,theory(equality)]) ).
cnf(288,plain,
( k11_isocat_2(X1,X2,X3,X4) = k5_relat_1(X4,k8_isocat_2(X2,X3))
| ~ m2_cat_1(k8_isocat_2(X2,X3),k11_cat_2(X2,X3),X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ),
inference(spm,[status(thm)],[115,156,theory(equality)]) ).
cnf(289,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X4,X5),k2_isocat_1(X1,X3,X2,X6,X7))
| ~ r2_nattra_1(X3,X2,X5,X7)
| ~ r2_nattra_1(X1,X3,X4,X6)
| ~ m2_cat_1(X7,X3,X2)
| ~ m2_cat_1(X5,X3,X2)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X4,X1,X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[183,115,theory(equality)]) ).
cnf(751,plain,
( k12_isocat_2(X1,X2,X3,X4) = k5_relat_1(X4,k9_isocat_2(X2,X3))
| ~ m2_cat_1(k9_isocat_2(X2,X3),k11_cat_2(X2,X3),X3)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[286,112]) ).
cnf(752,plain,
( k12_isocat_2(X1,X2,X3,X4) = k5_relat_1(X4,k9_isocat_2(X2,X3))
| ~ m2_cat_1(k9_isocat_2(X2,X3),k11_cat_2(X2,X3),X3)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[751,111]) ).
cnf(753,plain,
( k12_isocat_2(X1,X2,X3,X4) = k5_relat_1(X4,k9_isocat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[752,104]) ).
cnf(759,plain,
( k12_isocat_2(X1,X2,X3,X4) = k12_isocat_2(X5,X2,X3,X4)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X5,k11_cat_2(X2,X3))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ),
inference(spm,[status(thm)],[753,753,theory(equality)]) ).
cnf(835,plain,
( k11_isocat_2(X1,X2,X3,X4) = k5_relat_1(X4,k8_isocat_2(X2,X3))
| ~ m2_cat_1(k8_isocat_2(X2,X3),k11_cat_2(X2,X3),X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[288,112]) ).
cnf(836,plain,
( k11_isocat_2(X1,X2,X3,X4) = k5_relat_1(X4,k8_isocat_2(X2,X3))
| ~ m2_cat_1(k8_isocat_2(X2,X3),k11_cat_2(X2,X3),X2)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[835,111]) ).
cnf(837,plain,
( k11_isocat_2(X1,X2,X3,X4) = k5_relat_1(X4,k8_isocat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[836,179]) ).
cnf(842,plain,
( k11_isocat_2(X1,X2,X3,X4) = k11_isocat_2(X5,X2,X3,X4)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X4,X5,k11_cat_2(X2,X3))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ),
inference(spm,[status(thm)],[837,837,theory(equality)]) ).
cnf(869,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,X4),k12_isocat_2(X1,X5,X2,X6))
| ~ r2_nattra_1(k11_cat_2(X5,X2),X2,X4,k9_isocat_2(X5,X2))
| ~ r2_nattra_1(X1,k11_cat_2(X5,X2),X3,X6)
| ~ m2_cat_1(k9_isocat_2(X5,X2),k11_cat_2(X5,X2),X2)
| ~ m2_cat_1(X4,k11_cat_2(X5,X2),X2)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,X2))
| ~ m2_cat_1(X3,X1,k11_cat_2(X5,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X5,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(k11_cat_2(X5,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ),
inference(spm,[status(thm)],[289,74,theory(equality)]) ).
cnf(870,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,X4),k11_isocat_2(X1,X2,X5,X6))
| ~ r2_nattra_1(k11_cat_2(X2,X5),X2,X4,k8_isocat_2(X2,X5))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X5),X3,X6)
| ~ m2_cat_1(k8_isocat_2(X2,X5),k11_cat_2(X2,X5),X2)
| ~ m2_cat_1(X4,k11_cat_2(X2,X5),X2)
| ~ m2_cat_1(X6,X1,k11_cat_2(X2,X5))
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,X5))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X5))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(k11_cat_2(X2,X5))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ),
inference(spm,[status(thm)],[289,156,theory(equality)]) ).
cnf(5743,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k12_isocat_2(X1,esk10_0,esk11_0,esk12_0),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,esk9_0,k11_cat_2(esk10_0,esk11_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk9_0)
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[202,759,theory(equality)]) ).
cnf(5783,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k12_isocat_2(X1,esk10_0,esk11_0,esk12_0),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| $false
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk9_0)
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(X1) ),
inference(rw,[status(thm)],[5743,205,theory(equality)]) ).
cnf(5784,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k12_isocat_2(X1,esk10_0,esk11_0,esk12_0),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| $false
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| $false
| ~ l1_cat_1(esk9_0)
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(X1) ),
inference(rw,[status(thm)],[5783,206,theory(equality)]) ).
cnf(5785,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k12_isocat_2(X1,esk10_0,esk11_0,esk12_0),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| $false
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| $false
| $false
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(X1) ),
inference(rw,[status(thm)],[5784,210,theory(equality)]) ).
cnf(5786,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k12_isocat_2(X1,esk10_0,esk11_0,esk12_0),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| $false
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| $false
| $false
| $false
| ~ l1_cat_1(X1)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(X1) ),
inference(rw,[status(thm)],[5785,208,theory(equality)]) ).
cnf(5787,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k12_isocat_2(X1,esk10_0,esk11_0,esk12_0),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| $false
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| $false
| $false
| $false
| ~ l1_cat_1(X1)
| $false
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(X1) ),
inference(rw,[status(thm)],[5786,207,theory(equality)]) ).
cnf(5788,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k12_isocat_2(X1,esk10_0,esk11_0,esk12_0),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| $false
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| $false
| $false
| $false
| ~ l1_cat_1(X1)
| $false
| $false
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(X1) ),
inference(rw,[status(thm)],[5787,211,theory(equality)]) ).
cnf(5789,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k12_isocat_2(X1,esk10_0,esk11_0,esk12_0),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| $false
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| $false
| $false
| $false
| ~ l1_cat_1(X1)
| $false
| $false
| $false
| ~ v2_cat_1(X1) ),
inference(rw,[status(thm)],[5788,209,theory(equality)]) ).
cnf(5790,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k12_isocat_2(X1,esk10_0,esk11_0,esk12_0),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[5789,theory(equality)]) ).
cnf(7301,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,X4),k12_isocat_2(X1,X5,X2,X6))
| ~ r2_nattra_1(k11_cat_2(X5,X2),X2,X4,k9_isocat_2(X5,X2))
| ~ r2_nattra_1(X1,k11_cat_2(X5,X2),X3,X6)
| ~ m2_cat_1(k9_isocat_2(X5,X2),k11_cat_2(X5,X2),X2)
| ~ m2_cat_1(X4,k11_cat_2(X5,X2),X2)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,X2))
| ~ m2_cat_1(X3,X1,k11_cat_2(X5,X2))
| ~ l1_cat_1(k11_cat_2(X5,X2))
| ~ l1_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X5)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[869,112]) ).
cnf(7302,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,X4),k12_isocat_2(X1,X5,X2,X6))
| ~ r2_nattra_1(k11_cat_2(X5,X2),X2,X4,k9_isocat_2(X5,X2))
| ~ r2_nattra_1(X1,k11_cat_2(X5,X2),X3,X6)
| ~ m2_cat_1(k9_isocat_2(X5,X2),k11_cat_2(X5,X2),X2)
| ~ m2_cat_1(X4,k11_cat_2(X5,X2),X2)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,X2))
| ~ m2_cat_1(X3,X1,k11_cat_2(X5,X2))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X5) ),
inference(csr,[status(thm)],[7301,111]) ).
cnf(7303,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,X4),k12_isocat_2(X1,X5,X2,X6))
| ~ r2_nattra_1(k11_cat_2(X5,X2),X2,X4,k9_isocat_2(X5,X2))
| ~ r2_nattra_1(X1,k11_cat_2(X5,X2),X3,X6)
| ~ m2_cat_1(X4,k11_cat_2(X5,X2),X2)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,X2))
| ~ m2_cat_1(X3,X1,k11_cat_2(X5,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X5) ),
inference(csr,[status(thm)],[7302,104]) ).
cnf(7304,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,k9_isocat_2(X4,X2)),k12_isocat_2(X1,X4,X2,X5))
| ~ r2_nattra_1(X1,k11_cat_2(X4,X2),X3,X5)
| ~ m2_cat_1(k9_isocat_2(X4,X2),k11_cat_2(X4,X2),X2)
| ~ m2_cat_1(X5,X1,k11_cat_2(X4,X2))
| ~ m2_cat_1(X3,X1,k11_cat_2(X4,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,X2))
| ~ v2_cat_1(k11_cat_2(X4,X2)) ),
inference(spm,[status(thm)],[7303,265,theory(equality)]) ).
cnf(7382,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,X4),k11_isocat_2(X1,X2,X5,X6))
| ~ r2_nattra_1(k11_cat_2(X2,X5),X2,X4,k8_isocat_2(X2,X5))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X5),X3,X6)
| ~ m2_cat_1(k8_isocat_2(X2,X5),k11_cat_2(X2,X5),X2)
| ~ m2_cat_1(X4,k11_cat_2(X2,X5),X2)
| ~ m2_cat_1(X6,X1,k11_cat_2(X2,X5))
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,X5))
| ~ l1_cat_1(k11_cat_2(X2,X5))
| ~ l1_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X5)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[870,112]) ).
cnf(7383,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,X4),k11_isocat_2(X1,X2,X5,X6))
| ~ r2_nattra_1(k11_cat_2(X2,X5),X2,X4,k8_isocat_2(X2,X5))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X5),X3,X6)
| ~ m2_cat_1(k8_isocat_2(X2,X5),k11_cat_2(X2,X5),X2)
| ~ m2_cat_1(X4,k11_cat_2(X2,X5),X2)
| ~ m2_cat_1(X6,X1,k11_cat_2(X2,X5))
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,X5))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X5) ),
inference(csr,[status(thm)],[7382,111]) ).
cnf(7384,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,X4),k11_isocat_2(X1,X2,X5,X6))
| ~ r2_nattra_1(k11_cat_2(X2,X5),X2,X4,k8_isocat_2(X2,X5))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X5),X3,X6)
| ~ m2_cat_1(X4,k11_cat_2(X2,X5),X2)
| ~ m2_cat_1(X6,X1,k11_cat_2(X2,X5))
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,X5))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X5) ),
inference(csr,[status(thm)],[7383,179]) ).
cnf(7385,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,k8_isocat_2(X2,X4)),k11_isocat_2(X1,X2,X4,X5))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X4),X3,X5)
| ~ m2_cat_1(k8_isocat_2(X2,X4),k11_cat_2(X2,X4),X2)
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X4))
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,X4))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,X4))
| ~ v2_cat_1(k11_cat_2(X2,X4)) ),
inference(spm,[status(thm)],[7384,265,theory(equality)]) ).
cnf(11426,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k5_relat_1(esk12_0,k9_isocat_2(esk10_0,esk11_0)),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk10_0)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk10_0) ),
inference(spm,[status(thm)],[5790,753,theory(equality)]) ).
cnf(11432,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k5_relat_1(esk12_0,k9_isocat_2(esk10_0,esk11_0)),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| ~ l1_cat_1(esk10_0)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk10_0) ),
inference(rw,[status(thm)],[11426,206,theory(equality)]) ).
cnf(11433,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k5_relat_1(esk12_0,k9_isocat_2(esk10_0,esk11_0)),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk10_0) ),
inference(rw,[status(thm)],[11432,208,theory(equality)]) ).
cnf(11434,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k5_relat_1(esk12_0,k9_isocat_2(esk10_0,esk11_0)),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| ~ v2_cat_1(esk10_0) ),
inference(rw,[status(thm)],[11433,207,theory(equality)]) ).
cnf(11435,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k5_relat_1(esk12_0,k9_isocat_2(esk10_0,esk11_0)),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[11434,209,theory(equality)]) ).
cnf(11436,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ r2_nattra_1(esk9_0,esk11_0,k5_relat_1(esk12_0,k9_isocat_2(esk10_0,esk11_0)),k12_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[11435,theory(equality)]) ).
cnf(388091,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,k9_isocat_2(X4,X2)),k12_isocat_2(X1,X4,X2,X5))
| ~ r2_nattra_1(X1,k11_cat_2(X4,X2),X3,X5)
| ~ m2_cat_1(k9_isocat_2(X4,X2),k11_cat_2(X4,X2),X2)
| ~ m2_cat_1(X5,X1,k11_cat_2(X4,X2))
| ~ m2_cat_1(X3,X1,k11_cat_2(X4,X2))
| ~ l1_cat_1(k11_cat_2(X4,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X4) ),
inference(csr,[status(thm)],[7304,112]) ).
cnf(388092,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,k9_isocat_2(X4,X2)),k12_isocat_2(X1,X4,X2,X5))
| ~ r2_nattra_1(X1,k11_cat_2(X4,X2),X3,X5)
| ~ m2_cat_1(k9_isocat_2(X4,X2),k11_cat_2(X4,X2),X2)
| ~ m2_cat_1(X5,X1,k11_cat_2(X4,X2))
| ~ m2_cat_1(X3,X1,k11_cat_2(X4,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X4) ),
inference(csr,[status(thm)],[388091,111]) ).
cnf(388093,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,k9_isocat_2(X4,X2)),k12_isocat_2(X1,X4,X2,X5))
| ~ r2_nattra_1(X1,k11_cat_2(X4,X2),X3,X5)
| ~ m2_cat_1(X5,X1,k11_cat_2(X4,X2))
| ~ m2_cat_1(X3,X1,k11_cat_2(X4,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X4) ),
inference(csr,[status(thm)],[388092,104]) ).
cnf(388103,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ r2_nattra_1(esk9_0,k11_cat_2(esk10_0,esk11_0),esk12_0,esk13_0)
| ~ m2_cat_1(esk13_0,esk9_0,k11_cat_2(esk10_0,esk11_0))
| ~ m2_cat_1(esk12_0,esk9_0,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk9_0)
| ~ l1_cat_1(esk10_0)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0) ),
inference(spm,[status(thm)],[11436,388093,theory(equality)]) ).
cnf(388107,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| ~ m2_cat_1(esk13_0,esk9_0,k11_cat_2(esk10_0,esk11_0))
| ~ m2_cat_1(esk12_0,esk9_0,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk9_0)
| ~ l1_cat_1(esk10_0)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0) ),
inference(rw,[status(thm)],[388103,203,theory(equality)]) ).
cnf(388108,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| ~ m2_cat_1(esk12_0,esk9_0,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk9_0)
| ~ l1_cat_1(esk10_0)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0) ),
inference(rw,[status(thm)],[388107,204,theory(equality)]) ).
cnf(388109,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk9_0)
| ~ l1_cat_1(esk10_0)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0) ),
inference(rw,[status(thm)],[388108,205,theory(equality)]) ).
cnf(388110,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| $false
| ~ l1_cat_1(esk9_0)
| ~ l1_cat_1(esk10_0)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0) ),
inference(rw,[status(thm)],[388109,206,theory(equality)]) ).
cnf(388111,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| $false
| $false
| ~ l1_cat_1(esk10_0)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0) ),
inference(rw,[status(thm)],[388110,210,theory(equality)]) ).
cnf(388112,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0) ),
inference(rw,[status(thm)],[388111,208,theory(equality)]) ).
cnf(388113,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0) ),
inference(rw,[status(thm)],[388112,207,theory(equality)]) ).
cnf(388114,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v2_cat_1(esk10_0) ),
inference(rw,[status(thm)],[388113,211,theory(equality)]) ).
cnf(388115,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[388114,209,theory(equality)]) ).
cnf(388116,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(esk9_0,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[388115,theory(equality)]) ).
cnf(388122,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(X2,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(esk12_0,X2,k11_cat_2(esk10_0,esk11_0))
| ~ m2_cat_1(esk12_0,esk9_0,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0) ),
inference(spm,[status(thm)],[388116,842,theory(equality)]) ).
cnf(388140,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(X2,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(esk12_0,X2,k11_cat_2(esk10_0,esk11_0))
| $false
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0) ),
inference(rw,[status(thm)],[388122,205,theory(equality)]) ).
cnf(388141,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(X2,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(esk12_0,X2,k11_cat_2(esk10_0,esk11_0))
| $false
| $false
| ~ l1_cat_1(X2)
| ~ l1_cat_1(esk11_0)
| ~ l1_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0) ),
inference(rw,[status(thm)],[388140,208,theory(equality)]) ).
cnf(388142,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(X2,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(esk12_0,X2,k11_cat_2(esk10_0,esk11_0))
| $false
| $false
| ~ l1_cat_1(X2)
| $false
| ~ l1_cat_1(esk9_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0) ),
inference(rw,[status(thm)],[388141,206,theory(equality)]) ).
cnf(388143,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(X2,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(esk12_0,X2,k11_cat_2(esk10_0,esk11_0))
| $false
| $false
| ~ l1_cat_1(X2)
| $false
| $false
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0) ),
inference(rw,[status(thm)],[388142,210,theory(equality)]) ).
cnf(388144,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(X2,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(esk12_0,X2,k11_cat_2(esk10_0,esk11_0))
| $false
| $false
| ~ l1_cat_1(X2)
| $false
| $false
| $false
| ~ v2_cat_1(X2)
| ~ v2_cat_1(esk11_0)
| ~ v2_cat_1(esk9_0) ),
inference(rw,[status(thm)],[388143,209,theory(equality)]) ).
cnf(388145,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(X2,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(esk12_0,X2,k11_cat_2(esk10_0,esk11_0))
| $false
| $false
| ~ l1_cat_1(X2)
| $false
| $false
| $false
| ~ v2_cat_1(X2)
| $false
| ~ v2_cat_1(esk9_0) ),
inference(rw,[status(thm)],[388144,207,theory(equality)]) ).
cnf(388146,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(X2,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(esk12_0,X2,k11_cat_2(esk10_0,esk11_0))
| $false
| $false
| ~ l1_cat_1(X2)
| $false
| $false
| $false
| ~ v2_cat_1(X2)
| $false
| $false ),
inference(rw,[status(thm)],[388145,211,theory(equality)]) ).
cnf(388147,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(X2,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(esk12_0,X2,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ),
inference(cn,[status(thm)],[388146,theory(equality)]) ).
fof(388367,plain,
( ~ epred7_0
<=> ! [X2] :
( ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(esk12_0,X2,k11_cat_2(esk10_0,esk11_0))
| ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(X2,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0)) ) ),
introduced(definition),
[split] ).
cnf(388368,plain,
( epred7_0
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(esk12_0,X2,k11_cat_2(esk10_0,esk11_0))
| ~ r2_nattra_1(esk9_0,esk10_0,k11_isocat_2(X2,esk10_0,esk11_0,esk12_0),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0)) ),
inference(split_equiv,[status(thm)],[388367]) ).
fof(388369,plain,
( ~ epred8_0
<=> ! [X1] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0)) ) ),
introduced(definition),
[split] ).
cnf(388370,plain,
( epred8_0
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0)) ),
inference(split_equiv,[status(thm)],[388369]) ).
cnf(388371,negated_conjecture,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[388147,388367,theory(equality)]),388369,theory(equality)]),
[split] ).
cnf(388372,negated_conjecture,
( epred8_0
| ~ l1_cat_1(esk9_0)
| ~ v2_cat_1(esk9_0) ),
inference(spm,[status(thm)],[388370,205,theory(equality)]) ).
cnf(388373,negated_conjecture,
( epred8_0
| $false
| ~ v2_cat_1(esk9_0) ),
inference(rw,[status(thm)],[388372,210,theory(equality)]) ).
cnf(388374,negated_conjecture,
( epred8_0
| $false
| $false ),
inference(rw,[status(thm)],[388373,211,theory(equality)]) ).
cnf(388375,negated_conjecture,
epred8_0,
inference(cn,[status(thm)],[388374,theory(equality)]) ).
cnf(388377,negated_conjecture,
( epred7_0
| ~ r2_nattra_1(esk9_0,esk10_0,k5_relat_1(esk12_0,k8_isocat_2(esk10_0,esk11_0)),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk11_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(esk11_0) ),
inference(spm,[status(thm)],[388368,837,theory(equality)]) ).
cnf(388383,negated_conjecture,
( epred7_0
| ~ r2_nattra_1(esk9_0,esk10_0,k5_relat_1(esk12_0,k8_isocat_2(esk10_0,esk11_0)),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| ~ l1_cat_1(esk11_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(esk11_0) ),
inference(rw,[status(thm)],[388377,208,theory(equality)]) ).
cnf(388384,negated_conjecture,
( epred7_0
| ~ r2_nattra_1(esk9_0,esk10_0,k5_relat_1(esk12_0,k8_isocat_2(esk10_0,esk11_0)),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(esk11_0) ),
inference(rw,[status(thm)],[388383,206,theory(equality)]) ).
cnf(388385,negated_conjecture,
( epred7_0
| ~ r2_nattra_1(esk9_0,esk10_0,k5_relat_1(esk12_0,k8_isocat_2(esk10_0,esk11_0)),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| ~ v2_cat_1(esk11_0) ),
inference(rw,[status(thm)],[388384,209,theory(equality)]) ).
cnf(388386,negated_conjecture,
( epred7_0
| ~ r2_nattra_1(esk9_0,esk10_0,k5_relat_1(esk12_0,k8_isocat_2(esk10_0,esk11_0)),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[388385,207,theory(equality)]) ).
cnf(388387,negated_conjecture,
( epred7_0
| ~ r2_nattra_1(esk9_0,esk10_0,k5_relat_1(esk12_0,k8_isocat_2(esk10_0,esk11_0)),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[388386,theory(equality)]) ).
cnf(388419,negated_conjecture,
( $false
| ~ epred7_0 ),
inference(rw,[status(thm)],[388371,388375,theory(equality)]) ).
cnf(388420,negated_conjecture,
~ epred7_0,
inference(cn,[status(thm)],[388419,theory(equality)]) ).
cnf(388421,negated_conjecture,
( ~ r2_nattra_1(esk9_0,esk10_0,k5_relat_1(esk12_0,k8_isocat_2(esk10_0,esk11_0)),k11_isocat_2(esk9_0,esk10_0,esk11_0,esk13_0))
| ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(sr,[status(thm)],[388387,388420,theory(equality)]) ).
cnf(391575,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,k8_isocat_2(X2,X4)),k11_isocat_2(X1,X2,X4,X5))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X4),X3,X5)
| ~ m2_cat_1(k8_isocat_2(X2,X4),k11_cat_2(X2,X4),X2)
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X4))
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,X4))
| ~ l1_cat_1(k11_cat_2(X2,X4))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X4) ),
inference(csr,[status(thm)],[7385,112]) ).
cnf(391576,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,k8_isocat_2(X2,X4)),k11_isocat_2(X1,X2,X4,X5))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X4),X3,X5)
| ~ m2_cat_1(k8_isocat_2(X2,X4),k11_cat_2(X2,X4),X2)
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X4))
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,X4))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X4) ),
inference(csr,[status(thm)],[391575,111]) ).
cnf(391577,plain,
( r2_nattra_1(X1,X2,k5_relat_1(X3,k8_isocat_2(X2,X4)),k11_isocat_2(X1,X2,X4,X5))
| ~ r2_nattra_1(X1,k11_cat_2(X2,X4),X3,X5)
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X4))
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,X4))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X4) ),
inference(csr,[status(thm)],[391576,179]) ).
cnf(391590,negated_conjecture,
( ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ r2_nattra_1(esk9_0,k11_cat_2(esk10_0,esk11_0),esk12_0,esk13_0)
| ~ m2_cat_1(esk13_0,esk9_0,k11_cat_2(esk10_0,esk11_0))
| ~ m2_cat_1(esk12_0,esk9_0,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk9_0)
| ~ l1_cat_1(esk11_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk11_0) ),
inference(spm,[status(thm)],[388421,391577,theory(equality)]) ).
cnf(391594,negated_conjecture,
( ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| ~ m2_cat_1(esk13_0,esk9_0,k11_cat_2(esk10_0,esk11_0))
| ~ m2_cat_1(esk12_0,esk9_0,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk9_0)
| ~ l1_cat_1(esk11_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk11_0) ),
inference(rw,[status(thm)],[391590,203,theory(equality)]) ).
cnf(391595,negated_conjecture,
( ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| ~ m2_cat_1(esk12_0,esk9_0,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk9_0)
| ~ l1_cat_1(esk11_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk11_0) ),
inference(rw,[status(thm)],[391594,204,theory(equality)]) ).
cnf(391596,negated_conjecture,
( ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| ~ l1_cat_1(esk10_0)
| ~ l1_cat_1(esk9_0)
| ~ l1_cat_1(esk11_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk11_0) ),
inference(rw,[status(thm)],[391595,205,theory(equality)]) ).
cnf(391597,negated_conjecture,
( ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| $false
| ~ l1_cat_1(esk9_0)
| ~ l1_cat_1(esk11_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk11_0) ),
inference(rw,[status(thm)],[391596,208,theory(equality)]) ).
cnf(391598,negated_conjecture,
( ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| $false
| $false
| ~ l1_cat_1(esk11_0)
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk11_0) ),
inference(rw,[status(thm)],[391597,210,theory(equality)]) ).
cnf(391599,negated_conjecture,
( ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v2_cat_1(esk10_0)
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk11_0) ),
inference(rw,[status(thm)],[391598,206,theory(equality)]) ).
cnf(391600,negated_conjecture,
( ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v2_cat_1(esk9_0)
| ~ v2_cat_1(esk11_0) ),
inference(rw,[status(thm)],[391599,209,theory(equality)]) ).
cnf(391601,negated_conjecture,
( ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v2_cat_1(esk11_0) ),
inference(rw,[status(thm)],[391600,211,theory(equality)]) ).
cnf(391602,negated_conjecture,
( ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[391601,207,theory(equality)]) ).
cnf(391603,negated_conjecture,
( ~ m2_cat_1(esk12_0,X1,k11_cat_2(esk10_0,esk11_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[391602,theory(equality)]) ).
cnf(391604,negated_conjecture,
( ~ l1_cat_1(esk9_0)
| ~ v2_cat_1(esk9_0) ),
inference(spm,[status(thm)],[391603,205,theory(equality)]) ).
cnf(391605,negated_conjecture,
( $false
| ~ v2_cat_1(esk9_0) ),
inference(rw,[status(thm)],[391604,210,theory(equality)]) ).
cnf(391606,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[391605,211,theory(equality)]) ).
cnf(391607,negated_conjecture,
$false,
inference(cn,[status(thm)],[391606,theory(equality)]) ).
cnf(391608,negated_conjecture,
$false,
391607,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CAT/CAT026+1.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmp_mWiyX/sel_CAT026+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmp_mWiyX/sel_CAT026+1.p_2 with time limit 81
% -prover status Theorem
% Problem CAT026+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CAT/CAT026+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CAT/CAT026+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
%
%------------------------------------------------------------------------------