%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LCL674+1.010 : TPTP v5.0.0. Released v4.0.0.
% 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 20:19:29 EST 2010
% Result : Theorem 1.82s
% Output : CNFRefutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 87
% Number of leaves : 4
% Syntax : Number of formulae : 128 ( 13 unt; 0 def)
% Number of atoms : 2728 ( 0 equ)
% Maximal formula atoms : 485 ( 21 avg)
% Number of connectives : 4413 (1813 ~;1609 |; 989 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 1 con; 0-1 aty)
% Number of variables : 391 ( 0 sgn 311 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p11(X1)
& ~ p111(X1)
& p110(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p11(X1)
& ~ p111(X1)
& p110(X1) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p10(X1)
& ~ p110(X1)
& p109(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p10(X1)
& ~ p110(X1)
& p109(X1) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p9(X1)
& ~ p109(X1)
& p108(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p9(X1)
& ~ p109(X1)
& p108(X1) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p8(X1)
& ~ p108(X1)
& p107(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p8(X1)
& ~ p108(X1)
& p107(X1) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p7(X1)
& ~ p107(X1)
& p106(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p7(X1)
& ~ p107(X1)
& p106(X1) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p11(X1)
| ~ p110(X1) )
| p11(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p11(X1)
| ~ p110(X1) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p10(X1)
| ~ p109(X1) )
| p10(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p10(X1)
| ~ p109(X1) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p9(X1)
| ~ p108(X1) )
| p9(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p9(X1)
| ~ p108(X1) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p8(X1)
| ~ p107(X1) )
| p8(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p8(X1)
| ~ p107(X1) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p7(X1)
| ~ p106(X1) )
| p7(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p7(X1)
| ~ p106(X1) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
file('/tmp/tmpCqNbCO/sel_LCL674+1.010.p_1',main) ).
fof(2,axiom,
! [X1,X2,X3] :
( ( r1(X1,X2)
& r1(X2,X3) )
=> r1(X1,X3) ),
file('/tmp/tmpCqNbCO/sel_LCL674+1.010.p_1',transitivity) ).
fof(3,axiom,
! [X1] : r1(X1,X1),
file('/tmp/tmpCqNbCO/sel_LCL674+1.010.p_1',reflexivity) ).
fof(4,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p11(X1)
& ~ p111(X1)
& p110(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p11(X1)
& ~ p111(X1)
& p110(X1) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p10(X1)
& ~ p110(X1)
& p109(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p10(X1)
& ~ p110(X1)
& p109(X1) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p9(X1)
& ~ p109(X1)
& p108(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p9(X1)
& ~ p109(X1)
& p108(X1) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p8(X1)
& ~ p108(X1)
& p107(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p8(X1)
& ~ p108(X1)
& p107(X1) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p7(X1)
& ~ p107(X1)
& p106(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p7(X1)
& ~ p107(X1)
& p106(X1) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p11(X1)
| ~ p110(X1) )
| p11(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p11(X1)
| ~ p110(X1) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p10(X1)
| ~ p109(X1) )
| p10(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p10(X1)
| ~ p109(X1) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p9(X1)
| ~ p108(X1) )
| p9(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p9(X1)
| ~ p108(X1) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p8(X1)
| ~ p107(X1) )
| p8(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p8(X1)
| ~ p107(X1) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p7(X1)
| ~ p106(X1) )
| p7(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p7(X1)
| ~ p106(X1) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(5,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p11(X1)
& ~ p111(X1)
& p110(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p11(X1)
& ~ p111(X1)
& p110(X1) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p10(X1)
& ~ p110(X1)
& p109(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p10(X1)
& ~ p110(X1)
& p109(X1) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p9(X1)
& ~ p109(X1)
& p108(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p9(X1)
& ~ p109(X1)
& p108(X1) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p8(X1)
& ~ p108(X1)
& p107(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p8(X1)
& ~ p108(X1)
& p107(X1) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p7(X1)
& ~ p107(X1)
& p106(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p7(X1)
& ~ p107(X1)
& p106(X1) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p11(X1)
| ~ p110(X1) )
| p11(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p11(X1)
| ~ p110(X1) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p10(X1)
| ~ p109(X1) )
| p10(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p10(X1)
| ~ p109(X1) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p9(X1)
| ~ p108(X1) )
| p9(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p9(X1)
| ~ p108(X1) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p8(X1)
| ~ p107(X1) )
| p8(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p8(X1)
| ~ p107(X1) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p7(X1)
| ~ p106(X1) )
| p7(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p7(X1)
| ~ p106(X1) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(6,plain,
! [X2] :
( epred1_1(X2)
=> ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p11(X1)
& ~ p111(X1)
& p110(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p11(X1)
& ~ p111(X1)
& p110(X1) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p10(X1)
& ~ p110(X1)
& p109(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p10(X1)
& ~ p110(X1)
& p109(X1) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p9(X1)
& ~ p109(X1)
& p108(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p9(X1)
& ~ p109(X1)
& p108(X1) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p8(X1)
& ~ p108(X1)
& p107(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p8(X1)
& ~ p108(X1)
& p107(X1) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p7(X1)
& ~ p107(X1)
& p106(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p7(X1)
& ~ p107(X1)
& p106(X1) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p11(X1)
| ~ p110(X1) )
| p11(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p11(X1)
| ~ p110(X1) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p10(X1)
| ~ p109(X1) )
| p10(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p10(X1)
| ~ p109(X1) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p9(X1)
| ~ p108(X1) )
| p9(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p9(X1)
| ~ p108(X1) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p8(X1)
| ~ p107(X1) )
| p8(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p8(X1)
| ~ p107(X1) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p7(X1)
| ~ p106(X1) )
| p7(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p7(X1)
| ~ p106(X1) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ),
introduced(definition) ).
fof(7,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) )
& ~ p101(X1)
& p100(X1) ) ),
inference(apply_def,[status(esa)],[5,6,theory(equality)]) ).
fof(8,negated_conjecture,
? [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
& ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) )
& ~ p101(X1)
& p100(X1) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(9,negated_conjecture,
? [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p5(X4) )
& ! [X5] :
( ~ r1(X3,X5)
| epred1_1(X5) )
& ~ p101(X3)
& p100(X3) ),
inference(variable_rename,[status(thm)],[8]) ).
fof(10,negated_conjecture,
( ! [X4] :
( ~ r1(esk1_0,X4)
| p5(X4) )
& ! [X5] :
( ~ r1(esk1_0,X5)
| epred1_1(X5) )
& ~ p101(esk1_0)
& p100(esk1_0) ),
inference(skolemize,[status(esa)],[9]) ).
fof(11,negated_conjecture,
! [X4,X5] :
( ( ~ r1(esk1_0,X5)
| epred1_1(X5) )
& ~ p101(esk1_0)
& p100(esk1_0)
& ( ~ r1(esk1_0,X4)
| p5(X4) ) ),
inference(shift_quantors,[status(thm)],[10]) ).
cnf(12,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(13,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(14,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(15,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[11]) ).
fof(16,plain,
! [X1,X2,X3] :
( ~ r1(X1,X2)
| ~ r1(X2,X3)
| r1(X1,X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(17,plain,
! [X4,X5,X6] :
( ~ r1(X4,X5)
| ~ r1(X5,X6)
| r1(X4,X6) ),
inference(variable_rename,[status(thm)],[16]) ).
cnf(18,plain,
( r1(X1,X2)
| ~ r1(X3,X2)
| ~ r1(X1,X3) ),
inference(split_conjunct,[status(thm)],[17]) ).
fof(19,plain,
! [X2] : r1(X2,X2),
inference(variable_rename,[status(thm)],[3]) ).
cnf(20,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[19]) ).
fof(21,plain,
! [X2] :
( ~ epred1_1(X2)
| ( ( ( ? [X1] :
( r1(X2,X1)
& ~ p11(X1)
& ~ p111(X1)
& p110(X1) )
& ? [X1] :
( r1(X2,X1)
& p11(X1)
& ~ p111(X1)
& p110(X1) ) )
| p110(X2)
| ~ p109(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p10(X1)
& ~ p110(X1)
& p109(X1) )
& ? [X1] :
( r1(X2,X1)
& p10(X1)
& ~ p110(X1)
& p109(X1) ) )
| p109(X2)
| ~ p108(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p9(X1)
& ~ p109(X1)
& p108(X1) )
& ? [X1] :
( r1(X2,X1)
& p9(X1)
& ~ p109(X1)
& p108(X1) ) )
| p108(X2)
| ~ p107(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p8(X1)
& ~ p108(X1)
& p107(X1) )
& ? [X1] :
( r1(X2,X1)
& p8(X1)
& ~ p108(X1)
& p107(X1) ) )
| p107(X2)
| ~ p106(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p7(X1)
& ~ p107(X1)
& p106(X1) )
& ? [X1] :
( r1(X2,X1)
& p7(X1)
& ~ p107(X1)
& p106(X1) ) )
| p106(X2)
| ~ p105(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p6(X1)
& ~ p106(X1)
& p105(X1) )
& ? [X1] :
( r1(X2,X1)
& p6(X1)
& ~ p106(X1)
& p105(X1) ) )
| p105(X2)
| ~ p104(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p5(X1)
& ~ p105(X1)
& p104(X1) )
& ? [X1] :
( r1(X2,X1)
& p5(X1)
& ~ p105(X1)
& p104(X1) ) )
| p104(X2)
| ~ p103(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p4(X1)
& ~ p104(X1)
& p103(X1) )
& ? [X1] :
( r1(X2,X1)
& p4(X1)
& ~ p104(X1)
& p103(X1) ) )
| p103(X2)
| ~ p102(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p3(X1)
& ~ p103(X1)
& p102(X1) )
& ? [X1] :
( r1(X2,X1)
& p3(X1)
& ~ p103(X1)
& p102(X1) ) )
| p102(X2)
| ~ p101(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p2(X1)
& ~ p102(X1)
& p101(X1) )
& ? [X1] :
( r1(X2,X1)
& p2(X1)
& ~ p102(X1)
& p101(X1) ) )
| p101(X2)
| ~ p100(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p11(X1)
| ~ p110(X1) )
| p11(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p11(X1)
| ~ p110(X1) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p10(X1)
| ~ p109(X1) )
| p10(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p10(X1)
| ~ p109(X1) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p9(X1)
| ~ p108(X1) )
| p9(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p9(X1)
| ~ p108(X1) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p8(X1)
| ~ p107(X1) )
| p8(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p8(X1)
| ~ p107(X1) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p7(X1)
| ~ p106(X1) )
| p7(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p7(X1)
| ~ p106(X1) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(22,plain,
! [X3] :
( ~ epred1_1(X3)
| ( ( ( ? [X4] :
( r1(X3,X4)
& ~ p11(X4)
& ~ p111(X4)
& p110(X4) )
& ? [X5] :
( r1(X3,X5)
& p11(X5)
& ~ p111(X5)
& p110(X5) ) )
| p110(X3)
| ~ p109(X3) )
& ( ( ? [X6] :
( r1(X3,X6)
& ~ p10(X6)
& ~ p110(X6)
& p109(X6) )
& ? [X7] :
( r1(X3,X7)
& p10(X7)
& ~ p110(X7)
& p109(X7) ) )
| p109(X3)
| ~ p108(X3) )
& ( ( ? [X8] :
( r1(X3,X8)
& ~ p9(X8)
& ~ p109(X8)
& p108(X8) )
& ? [X9] :
( r1(X3,X9)
& p9(X9)
& ~ p109(X9)
& p108(X9) ) )
| p108(X3)
| ~ p107(X3) )
& ( ( ? [X10] :
( r1(X3,X10)
& ~ p8(X10)
& ~ p108(X10)
& p107(X10) )
& ? [X11] :
( r1(X3,X11)
& p8(X11)
& ~ p108(X11)
& p107(X11) ) )
| p107(X3)
| ~ p106(X3) )
& ( ( ? [X12] :
( r1(X3,X12)
& ~ p7(X12)
& ~ p107(X12)
& p106(X12) )
& ? [X13] :
( r1(X3,X13)
& p7(X13)
& ~ p107(X13)
& p106(X13) ) )
| p106(X3)
| ~ p105(X3) )
& ( ( ? [X14] :
( r1(X3,X14)
& ~ p6(X14)
& ~ p106(X14)
& p105(X14) )
& ? [X15] :
( r1(X3,X15)
& p6(X15)
& ~ p106(X15)
& p105(X15) ) )
| p105(X3)
| ~ p104(X3) )
& ( ( ? [X16] :
( r1(X3,X16)
& ~ p5(X16)
& ~ p105(X16)
& p104(X16) )
& ? [X17] :
( r1(X3,X17)
& p5(X17)
& ~ p105(X17)
& p104(X17) ) )
| p104(X3)
| ~ p103(X3) )
& ( ( ? [X18] :
( r1(X3,X18)
& ~ p4(X18)
& ~ p104(X18)
& p103(X18) )
& ? [X19] :
( r1(X3,X19)
& p4(X19)
& ~ p104(X19)
& p103(X19) ) )
| p103(X3)
| ~ p102(X3) )
& ( ( ? [X20] :
( r1(X3,X20)
& ~ p3(X20)
& ~ p103(X20)
& p102(X20) )
& ? [X21] :
( r1(X3,X21)
& p3(X21)
& ~ p103(X21)
& p102(X21) ) )
| p102(X3)
| ~ p101(X3) )
& ( ( ? [X22] :
( r1(X3,X22)
& ~ p2(X22)
& ~ p102(X22)
& p101(X22) )
& ? [X23] :
( r1(X3,X23)
& p2(X23)
& ~ p102(X23)
& p101(X23) ) )
| p101(X3)
| ~ p100(X3) )
& ( ( ( ! [X24] :
( ~ r1(X3,X24)
| ~ p11(X24)
| ~ p110(X24) )
| p11(X3) )
& ( ! [X25] :
( ~ r1(X3,X25)
| p11(X25)
| ~ p110(X25) )
| ~ p11(X3) ) )
| ~ p110(X3) )
& ( ( ( ! [X26] :
( ~ r1(X3,X26)
| ~ p10(X26)
| ~ p109(X26) )
| p10(X3) )
& ( ! [X27] :
( ~ r1(X3,X27)
| p10(X27)
| ~ p109(X27) )
| ~ p10(X3) ) )
| ~ p109(X3) )
& ( ( ( ! [X28] :
( ~ r1(X3,X28)
| ~ p9(X28)
| ~ p108(X28) )
| p9(X3) )
& ( ! [X29] :
( ~ r1(X3,X29)
| p9(X29)
| ~ p108(X29) )
| ~ p9(X3) ) )
| ~ p108(X3) )
& ( ( ( ! [X30] :
( ~ r1(X3,X30)
| ~ p8(X30)
| ~ p107(X30) )
| p8(X3) )
& ( ! [X31] :
( ~ r1(X3,X31)
| p8(X31)
| ~ p107(X31) )
| ~ p8(X3) ) )
| ~ p107(X3) )
& ( ( ( ! [X32] :
( ~ r1(X3,X32)
| ~ p7(X32)
| ~ p106(X32) )
| p7(X3) )
& ( ! [X33] :
( ~ r1(X3,X33)
| p7(X33)
| ~ p106(X33) )
| ~ p7(X3) ) )
| ~ p106(X3) )
& ( ( ( ! [X34] :
( ~ r1(X3,X34)
| ~ p6(X34)
| ~ p105(X34) )
| p6(X3) )
& ( ! [X35] :
( ~ r1(X3,X35)
| p6(X35)
| ~ p105(X35) )
| ~ p6(X3) ) )
| ~ p105(X3) )
& ( ( ( ! [X36] :
( ~ r1(X3,X36)
| ~ p5(X36)
| ~ p104(X36) )
| p5(X3) )
& ( ! [X37] :
( ~ r1(X3,X37)
| p5(X37)
| ~ p104(X37) )
| ~ p5(X3) ) )
| ~ p104(X3) )
& ( ( ( ! [X38] :
( ~ r1(X3,X38)
| ~ p4(X38)
| ~ p103(X38) )
| p4(X3) )
& ( ! [X39] :
( ~ r1(X3,X39)
| p4(X39)
| ~ p103(X39) )
| ~ p4(X3) ) )
| ~ p103(X3) )
& ( ( ( ! [X40] :
( ~ r1(X3,X40)
| ~ p3(X40)
| ~ p102(X40) )
| p3(X3) )
& ( ! [X41] :
( ~ r1(X3,X41)
| p3(X41)
| ~ p102(X41) )
| ~ p3(X3) ) )
| ~ p102(X3) )
& ( ( ( ! [X42] :
( ~ r1(X3,X42)
| ~ p2(X42)
| ~ p101(X42) )
| p2(X3) )
& ( ! [X43] :
( ~ r1(X3,X43)
| p2(X43)
| ~ p101(X43) )
| ~ p2(X3) ) )
| ~ p101(X3) )
& ( ( ( ! [X44] :
( ~ r1(X3,X44)
| ~ p1(X44)
| ~ p100(X44) )
| p1(X3) )
& ( ! [X45] :
( ~ r1(X3,X45)
| p1(X45)
| ~ p100(X45) )
| ~ p1(X3) ) )
| ~ p100(X3) )
& ( p110(X3)
| ~ p111(X3) )
& ( p109(X3)
| ~ p110(X3) )
& ( p108(X3)
| ~ p109(X3) )
& ( p107(X3)
| ~ p108(X3) )
& ( p106(X3)
| ~ p107(X3) )
& ( p105(X3)
| ~ p106(X3) )
& ( p104(X3)
| ~ p105(X3) )
& ( p103(X3)
| ~ p104(X3) )
& ( p102(X3)
| ~ p103(X3) )
& ( p101(X3)
| ~ p102(X3) )
& ( p100(X3)
| ~ p101(X3) ) ) ),
inference(variable_rename,[status(thm)],[21]) ).
fof(23,plain,
! [X3] :
( ~ epred1_1(X3)
| ( ( ( r1(X3,esk2_1(X3))
& ~ p11(esk2_1(X3))
& ~ p111(esk2_1(X3))
& p110(esk2_1(X3))
& r1(X3,esk3_1(X3))
& p11(esk3_1(X3))
& ~ p111(esk3_1(X3))
& p110(esk3_1(X3)) )
| p110(X3)
| ~ p109(X3) )
& ( ( r1(X3,esk4_1(X3))
& ~ p10(esk4_1(X3))
& ~ p110(esk4_1(X3))
& p109(esk4_1(X3))
& r1(X3,esk5_1(X3))
& p10(esk5_1(X3))
& ~ p110(esk5_1(X3))
& p109(esk5_1(X3)) )
| p109(X3)
| ~ p108(X3) )
& ( ( r1(X3,esk6_1(X3))
& ~ p9(esk6_1(X3))
& ~ p109(esk6_1(X3))
& p108(esk6_1(X3))
& r1(X3,esk7_1(X3))
& p9(esk7_1(X3))
& ~ p109(esk7_1(X3))
& p108(esk7_1(X3)) )
| p108(X3)
| ~ p107(X3) )
& ( ( r1(X3,esk8_1(X3))
& ~ p8(esk8_1(X3))
& ~ p108(esk8_1(X3))
& p107(esk8_1(X3))
& r1(X3,esk9_1(X3))
& p8(esk9_1(X3))
& ~ p108(esk9_1(X3))
& p107(esk9_1(X3)) )
| p107(X3)
| ~ p106(X3) )
& ( ( r1(X3,esk10_1(X3))
& ~ p7(esk10_1(X3))
& ~ p107(esk10_1(X3))
& p106(esk10_1(X3))
& r1(X3,esk11_1(X3))
& p7(esk11_1(X3))
& ~ p107(esk11_1(X3))
& p106(esk11_1(X3)) )
| p106(X3)
| ~ p105(X3) )
& ( ( r1(X3,esk12_1(X3))
& ~ p6(esk12_1(X3))
& ~ p106(esk12_1(X3))
& p105(esk12_1(X3))
& r1(X3,esk13_1(X3))
& p6(esk13_1(X3))
& ~ p106(esk13_1(X3))
& p105(esk13_1(X3)) )
| p105(X3)
| ~ p104(X3) )
& ( ( r1(X3,esk14_1(X3))
& ~ p5(esk14_1(X3))
& ~ p105(esk14_1(X3))
& p104(esk14_1(X3))
& r1(X3,esk15_1(X3))
& p5(esk15_1(X3))
& ~ p105(esk15_1(X3))
& p104(esk15_1(X3)) )
| p104(X3)
| ~ p103(X3) )
& ( ( r1(X3,esk16_1(X3))
& ~ p4(esk16_1(X3))
& ~ p104(esk16_1(X3))
& p103(esk16_1(X3))
& r1(X3,esk17_1(X3))
& p4(esk17_1(X3))
& ~ p104(esk17_1(X3))
& p103(esk17_1(X3)) )
| p103(X3)
| ~ p102(X3) )
& ( ( r1(X3,esk18_1(X3))
& ~ p3(esk18_1(X3))
& ~ p103(esk18_1(X3))
& p102(esk18_1(X3))
& r1(X3,esk19_1(X3))
& p3(esk19_1(X3))
& ~ p103(esk19_1(X3))
& p102(esk19_1(X3)) )
| p102(X3)
| ~ p101(X3) )
& ( ( r1(X3,esk20_1(X3))
& ~ p2(esk20_1(X3))
& ~ p102(esk20_1(X3))
& p101(esk20_1(X3))
& r1(X3,esk21_1(X3))
& p2(esk21_1(X3))
& ~ p102(esk21_1(X3))
& p101(esk21_1(X3)) )
| p101(X3)
| ~ p100(X3) )
& ( ( ( ! [X24] :
( ~ r1(X3,X24)
| ~ p11(X24)
| ~ p110(X24) )
| p11(X3) )
& ( ! [X25] :
( ~ r1(X3,X25)
| p11(X25)
| ~ p110(X25) )
| ~ p11(X3) ) )
| ~ p110(X3) )
& ( ( ( ! [X26] :
( ~ r1(X3,X26)
| ~ p10(X26)
| ~ p109(X26) )
| p10(X3) )
& ( ! [X27] :
( ~ r1(X3,X27)
| p10(X27)
| ~ p109(X27) )
| ~ p10(X3) ) )
| ~ p109(X3) )
& ( ( ( ! [X28] :
( ~ r1(X3,X28)
| ~ p9(X28)
| ~ p108(X28) )
| p9(X3) )
& ( ! [X29] :
( ~ r1(X3,X29)
| p9(X29)
| ~ p108(X29) )
| ~ p9(X3) ) )
| ~ p108(X3) )
& ( ( ( ! [X30] :
( ~ r1(X3,X30)
| ~ p8(X30)
| ~ p107(X30) )
| p8(X3) )
& ( ! [X31] :
( ~ r1(X3,X31)
| p8(X31)
| ~ p107(X31) )
| ~ p8(X3) ) )
| ~ p107(X3) )
& ( ( ( ! [X32] :
( ~ r1(X3,X32)
| ~ p7(X32)
| ~ p106(X32) )
| p7(X3) )
& ( ! [X33] :
( ~ r1(X3,X33)
| p7(X33)
| ~ p106(X33) )
| ~ p7(X3) ) )
| ~ p106(X3) )
& ( ( ( ! [X34] :
( ~ r1(X3,X34)
| ~ p6(X34)
| ~ p105(X34) )
| p6(X3) )
& ( ! [X35] :
( ~ r1(X3,X35)
| p6(X35)
| ~ p105(X35) )
| ~ p6(X3) ) )
| ~ p105(X3) )
& ( ( ( ! [X36] :
( ~ r1(X3,X36)
| ~ p5(X36)
| ~ p104(X36) )
| p5(X3) )
& ( ! [X37] :
( ~ r1(X3,X37)
| p5(X37)
| ~ p104(X37) )
| ~ p5(X3) ) )
| ~ p104(X3) )
& ( ( ( ! [X38] :
( ~ r1(X3,X38)
| ~ p4(X38)
| ~ p103(X38) )
| p4(X3) )
& ( ! [X39] :
( ~ r1(X3,X39)
| p4(X39)
| ~ p103(X39) )
| ~ p4(X3) ) )
| ~ p103(X3) )
& ( ( ( ! [X40] :
( ~ r1(X3,X40)
| ~ p3(X40)
| ~ p102(X40) )
| p3(X3) )
& ( ! [X41] :
( ~ r1(X3,X41)
| p3(X41)
| ~ p102(X41) )
| ~ p3(X3) ) )
| ~ p102(X3) )
& ( ( ( ! [X42] :
( ~ r1(X3,X42)
| ~ p2(X42)
| ~ p101(X42) )
| p2(X3) )
& ( ! [X43] :
( ~ r1(X3,X43)
| p2(X43)
| ~ p101(X43) )
| ~ p2(X3) ) )
| ~ p101(X3) )
& ( ( ( ! [X44] :
( ~ r1(X3,X44)
| ~ p1(X44)
| ~ p100(X44) )
| p1(X3) )
& ( ! [X45] :
( ~ r1(X3,X45)
| p1(X45)
| ~ p100(X45) )
| ~ p1(X3) ) )
| ~ p100(X3) )
& ( p110(X3)
| ~ p111(X3) )
& ( p109(X3)
| ~ p110(X3) )
& ( p108(X3)
| ~ p109(X3) )
& ( p107(X3)
| ~ p108(X3) )
& ( p106(X3)
| ~ p107(X3) )
& ( p105(X3)
| ~ p106(X3) )
& ( p104(X3)
| ~ p105(X3) )
& ( p103(X3)
| ~ p104(X3) )
& ( p102(X3)
| ~ p103(X3) )
& ( p101(X3)
| ~ p102(X3) )
& ( p100(X3)
| ~ p101(X3) ) ) ),
inference(skolemize,[status(esa)],[22]) ).
fof(24,plain,
! [X3,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45] :
( ( ( ( ( ~ r1(X3,X45)
| p1(X45)
| ~ p100(X45)
| ~ p1(X3) )
& ( ~ r1(X3,X44)
| ~ p1(X44)
| ~ p100(X44)
| p1(X3) ) )
| ~ p100(X3) )
& ( ( ( ~ r1(X3,X43)
| p2(X43)
| ~ p101(X43)
| ~ p2(X3) )
& ( ~ r1(X3,X42)
| ~ p2(X42)
| ~ p101(X42)
| p2(X3) ) )
| ~ p101(X3) )
& ( ( ( ~ r1(X3,X41)
| p3(X41)
| ~ p102(X41)
| ~ p3(X3) )
& ( ~ r1(X3,X40)
| ~ p3(X40)
| ~ p102(X40)
| p3(X3) ) )
| ~ p102(X3) )
& ( ( ( ~ r1(X3,X39)
| p4(X39)
| ~ p103(X39)
| ~ p4(X3) )
& ( ~ r1(X3,X38)
| ~ p4(X38)
| ~ p103(X38)
| p4(X3) ) )
| ~ p103(X3) )
& ( ( ( ~ r1(X3,X37)
| p5(X37)
| ~ p104(X37)
| ~ p5(X3) )
& ( ~ r1(X3,X36)
| ~ p5(X36)
| ~ p104(X36)
| p5(X3) ) )
| ~ p104(X3) )
& ( ( ( ~ r1(X3,X35)
| p6(X35)
| ~ p105(X35)
| ~ p6(X3) )
& ( ~ r1(X3,X34)
| ~ p6(X34)
| ~ p105(X34)
| p6(X3) ) )
| ~ p105(X3) )
& ( ( ( ~ r1(X3,X33)
| p7(X33)
| ~ p106(X33)
| ~ p7(X3) )
& ( ~ r1(X3,X32)
| ~ p7(X32)
| ~ p106(X32)
| p7(X3) ) )
| ~ p106(X3) )
& ( ( ( ~ r1(X3,X31)
| p8(X31)
| ~ p107(X31)
| ~ p8(X3) )
& ( ~ r1(X3,X30)
| ~ p8(X30)
| ~ p107(X30)
| p8(X3) ) )
| ~ p107(X3) )
& ( ( ( ~ r1(X3,X29)
| p9(X29)
| ~ p108(X29)
| ~ p9(X3) )
& ( ~ r1(X3,X28)
| ~ p9(X28)
| ~ p108(X28)
| p9(X3) ) )
| ~ p108(X3) )
& ( ( ( ~ r1(X3,X27)
| p10(X27)
| ~ p109(X27)
| ~ p10(X3) )
& ( ~ r1(X3,X26)
| ~ p10(X26)
| ~ p109(X26)
| p10(X3) ) )
| ~ p109(X3) )
& ( ( ( ~ r1(X3,X25)
| p11(X25)
| ~ p110(X25)
| ~ p11(X3) )
& ( ~ r1(X3,X24)
| ~ p11(X24)
| ~ p110(X24)
| p11(X3) ) )
| ~ p110(X3) )
& ( ( r1(X3,esk2_1(X3))
& ~ p11(esk2_1(X3))
& ~ p111(esk2_1(X3))
& p110(esk2_1(X3))
& r1(X3,esk3_1(X3))
& p11(esk3_1(X3))
& ~ p111(esk3_1(X3))
& p110(esk3_1(X3)) )
| p110(X3)
| ~ p109(X3) )
& ( ( r1(X3,esk4_1(X3))
& ~ p10(esk4_1(X3))
& ~ p110(esk4_1(X3))
& p109(esk4_1(X3))
& r1(X3,esk5_1(X3))
& p10(esk5_1(X3))
& ~ p110(esk5_1(X3))
& p109(esk5_1(X3)) )
| p109(X3)
| ~ p108(X3) )
& ( ( r1(X3,esk6_1(X3))
& ~ p9(esk6_1(X3))
& ~ p109(esk6_1(X3))
& p108(esk6_1(X3))
& r1(X3,esk7_1(X3))
& p9(esk7_1(X3))
& ~ p109(esk7_1(X3))
& p108(esk7_1(X3)) )
| p108(X3)
| ~ p107(X3) )
& ( ( r1(X3,esk8_1(X3))
& ~ p8(esk8_1(X3))
& ~ p108(esk8_1(X3))
& p107(esk8_1(X3))
& r1(X3,esk9_1(X3))
& p8(esk9_1(X3))
& ~ p108(esk9_1(X3))
& p107(esk9_1(X3)) )
| p107(X3)
| ~ p106(X3) )
& ( ( r1(X3,esk10_1(X3))
& ~ p7(esk10_1(X3))
& ~ p107(esk10_1(X3))
& p106(esk10_1(X3))
& r1(X3,esk11_1(X3))
& p7(esk11_1(X3))
& ~ p107(esk11_1(X3))
& p106(esk11_1(X3)) )
| p106(X3)
| ~ p105(X3) )
& ( ( r1(X3,esk12_1(X3))
& ~ p6(esk12_1(X3))
& ~ p106(esk12_1(X3))
& p105(esk12_1(X3))
& r1(X3,esk13_1(X3))
& p6(esk13_1(X3))
& ~ p106(esk13_1(X3))
& p105(esk13_1(X3)) )
| p105(X3)
| ~ p104(X3) )
& ( ( r1(X3,esk14_1(X3))
& ~ p5(esk14_1(X3))
& ~ p105(esk14_1(X3))
& p104(esk14_1(X3))
& r1(X3,esk15_1(X3))
& p5(esk15_1(X3))
& ~ p105(esk15_1(X3))
& p104(esk15_1(X3)) )
| p104(X3)
| ~ p103(X3) )
& ( ( r1(X3,esk16_1(X3))
& ~ p4(esk16_1(X3))
& ~ p104(esk16_1(X3))
& p103(esk16_1(X3))
& r1(X3,esk17_1(X3))
& p4(esk17_1(X3))
& ~ p104(esk17_1(X3))
& p103(esk17_1(X3)) )
| p103(X3)
| ~ p102(X3) )
& ( ( r1(X3,esk18_1(X3))
& ~ p3(esk18_1(X3))
& ~ p103(esk18_1(X3))
& p102(esk18_1(X3))
& r1(X3,esk19_1(X3))
& p3(esk19_1(X3))
& ~ p103(esk19_1(X3))
& p102(esk19_1(X3)) )
| p102(X3)
| ~ p101(X3) )
& ( ( r1(X3,esk20_1(X3))
& ~ p2(esk20_1(X3))
& ~ p102(esk20_1(X3))
& p101(esk20_1(X3))
& r1(X3,esk21_1(X3))
& p2(esk21_1(X3))
& ~ p102(esk21_1(X3))
& p101(esk21_1(X3)) )
| p101(X3)
| ~ p100(X3) )
& ( p110(X3)
| ~ p111(X3) )
& ( p109(X3)
| ~ p110(X3) )
& ( p108(X3)
| ~ p109(X3) )
& ( p107(X3)
| ~ p108(X3) )
& ( p106(X3)
| ~ p107(X3) )
& ( p105(X3)
| ~ p106(X3) )
& ( p104(X3)
| ~ p105(X3) )
& ( p103(X3)
| ~ p104(X3) )
& ( p102(X3)
| ~ p103(X3) )
& ( p101(X3)
| ~ p102(X3) )
& ( p100(X3)
| ~ p101(X3) ) )
| ~ epred1_1(X3) ),
inference(shift_quantors,[status(thm)],[23]) ).
fof(25,plain,
! [X3,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45] :
( ( ~ r1(X3,X45)
| p1(X45)
| ~ p100(X45)
| ~ p1(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X44)
| ~ p1(X44)
| ~ p100(X44)
| p1(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X43)
| p2(X43)
| ~ p101(X43)
| ~ p2(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X42)
| ~ p2(X42)
| ~ p101(X42)
| p2(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X41)
| p3(X41)
| ~ p102(X41)
| ~ p3(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X40)
| ~ p3(X40)
| ~ p102(X40)
| p3(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X39)
| p4(X39)
| ~ p103(X39)
| ~ p4(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X38)
| ~ p4(X38)
| ~ p103(X38)
| p4(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X37)
| p5(X37)
| ~ p104(X37)
| ~ p5(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X36)
| ~ p5(X36)
| ~ p104(X36)
| p5(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X35)
| p6(X35)
| ~ p105(X35)
| ~ p6(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X34)
| ~ p6(X34)
| ~ p105(X34)
| p6(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X33)
| p7(X33)
| ~ p106(X33)
| ~ p7(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X32)
| ~ p7(X32)
| ~ p106(X32)
| p7(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X31)
| p8(X31)
| ~ p107(X31)
| ~ p8(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X30)
| ~ p8(X30)
| ~ p107(X30)
| p8(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X29)
| p9(X29)
| ~ p108(X29)
| ~ p9(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X28)
| ~ p9(X28)
| ~ p108(X28)
| p9(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X27)
| p10(X27)
| ~ p109(X27)
| ~ p10(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X26)
| ~ p10(X26)
| ~ p109(X26)
| p10(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X25)
| p11(X25)
| ~ p110(X25)
| ~ p11(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X24)
| ~ p11(X24)
| ~ p110(X24)
| p11(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk2_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ p11(esk2_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ p111(esk2_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( p110(esk2_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk3_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( p11(esk3_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ p111(esk3_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( p110(esk3_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk4_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ p10(esk4_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ p110(esk4_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( p109(esk4_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk5_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( p10(esk5_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ p110(esk5_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( p109(esk5_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk6_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ p9(esk6_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ p109(esk6_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( p108(esk6_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk7_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( p9(esk7_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ p109(esk7_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( p108(esk7_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk8_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ p8(esk8_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ p108(esk8_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p107(esk8_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk9_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p8(esk9_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ p108(esk9_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p107(esk9_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk10_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ p7(esk10_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ p107(esk10_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p106(esk10_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk11_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p7(esk11_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ p107(esk11_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p106(esk11_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk12_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p6(esk12_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p106(esk12_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p105(esk12_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk13_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p6(esk13_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p106(esk13_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p105(esk13_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk14_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p5(esk14_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p105(esk14_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p104(esk14_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk15_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p5(esk15_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p105(esk15_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p104(esk15_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk16_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p4(esk16_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p104(esk16_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p103(esk16_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk17_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p4(esk17_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p104(esk17_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p103(esk17_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk18_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p3(esk18_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p103(esk18_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p102(esk18_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk19_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p3(esk19_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p103(esk19_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p102(esk19_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk20_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p2(esk20_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p102(esk20_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p101(esk20_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk21_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p2(esk21_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p102(esk21_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p101(esk21_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p110(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( p109(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( p108(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( p107(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( p106(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( p105(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p104(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p103(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p102(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p101(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p100(X3)
| ~ p101(X3)
| ~ epred1_1(X3) ) ),
inference(distribute,[status(thm)],[24]) ).
cnf(41,plain,
( p101(X1)
| p101(esk20_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(42,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk20_1(X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(44,plain,
( p101(X1)
| r1(X1,esk20_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(49,plain,
( p102(X1)
| p102(esk18_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(50,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(52,plain,
( p102(X1)
| r1(X1,esk18_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(57,plain,
( p103(X1)
| p103(esk16_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(58,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk16_1(X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(60,plain,
( p103(X1)
| r1(X1,esk16_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(67,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p5(esk14_1(X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(68,plain,
( p104(X1)
| r1(X1,esk14_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(140,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[15,20,theory(equality)]) ).
cnf(145,plain,
( epred1_1(esk20_1(esk1_0))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[15,44,theory(equality)]) ).
cnf(150,plain,
( epred1_1(esk20_1(esk1_0))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| $false ),
inference(rw,[status(thm)],[145,13,theory(equality)]) ).
cnf(151,plain,
( epred1_1(esk20_1(esk1_0))
| p101(esk1_0)
| ~ epred1_1(esk1_0) ),
inference(cn,[status(thm)],[150,theory(equality)]) ).
cnf(152,plain,
( epred1_1(esk20_1(esk1_0))
| ~ epred1_1(esk1_0) ),
inference(sr,[status(thm)],[151,14,theory(equality)]) ).
cnf(167,plain,
( r1(X1,esk18_1(X2))
| p102(X2)
| ~ r1(X1,X2)
| ~ epred1_1(X2)
| ~ p101(X2) ),
inference(spm,[status(thm)],[18,52,theory(equality)]) ).
cnf(211,plain,
( r1(X1,esk14_1(X2))
| p104(X2)
| ~ r1(X1,X2)
| ~ epred1_1(X2)
| ~ p103(X2) ),
inference(spm,[status(thm)],[18,68,theory(equality)]) ).
cnf(217,plain,
( r1(X1,esk16_1(X2))
| p103(X2)
| ~ r1(X1,X2)
| ~ epred1_1(X2)
| ~ p102(X2) ),
inference(spm,[status(thm)],[18,60,theory(equality)]) ).
cnf(709,plain,
( epred1_1(esk20_1(esk1_0))
| $false ),
inference(rw,[status(thm)],[152,140,theory(equality)]) ).
cnf(710,plain,
epred1_1(esk20_1(esk1_0)),
inference(cn,[status(thm)],[709,theory(equality)]) ).
cnf(917,plain,
( p102(esk20_1(X1))
| r1(X1,esk18_1(esk20_1(X1)))
| p101(X1)
| ~ epred1_1(esk20_1(X1))
| ~ p101(esk20_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(spm,[status(thm)],[167,44,theory(equality)]) ).
cnf(1229,plain,
( p104(esk16_1(X1))
| r1(X1,esk14_1(esk16_1(X1)))
| p103(X1)
| ~ epred1_1(esk16_1(X1))
| ~ p103(esk16_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(spm,[status(thm)],[211,60,theory(equality)]) ).
cnf(1255,plain,
( p103(esk18_1(X1))
| r1(X1,esk16_1(esk18_1(X1)))
| p102(X1)
| ~ epred1_1(esk18_1(X1))
| ~ p102(esk18_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(spm,[status(thm)],[217,52,theory(equality)]) ).
cnf(1606,plain,
( p101(X1)
| p102(esk20_1(X1))
| r1(X1,esk18_1(esk20_1(X1)))
| ~ epred1_1(esk20_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(csr,[status(thm)],[917,41]) ).
cnf(1607,plain,
( p101(X1)
| r1(X1,esk18_1(esk20_1(X1)))
| ~ epred1_1(esk20_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(csr,[status(thm)],[1606,42]) ).
cnf(1608,plain,
( p101(esk1_0)
| r1(esk1_0,esk18_1(esk20_1(esk1_0)))
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[1607,710,theory(equality)]) ).
cnf(1609,plain,
( p101(esk1_0)
| r1(esk1_0,esk18_1(esk20_1(esk1_0)))
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[1608,140,theory(equality)]) ).
cnf(1610,plain,
( p101(esk1_0)
| r1(esk1_0,esk18_1(esk20_1(esk1_0)))
| $false
| $false ),
inference(rw,[status(thm)],[1609,13,theory(equality)]) ).
cnf(1611,plain,
( p101(esk1_0)
| r1(esk1_0,esk18_1(esk20_1(esk1_0))) ),
inference(cn,[status(thm)],[1610,theory(equality)]) ).
cnf(1612,plain,
r1(esk1_0,esk18_1(esk20_1(esk1_0))),
inference(sr,[status(thm)],[1611,14,theory(equality)]) ).
cnf(1614,plain,
epred1_1(esk18_1(esk20_1(esk1_0))),
inference(spm,[status(thm)],[15,1612,theory(equality)]) ).
cnf(5772,plain,
( p102(X1)
| p103(esk18_1(X1))
| r1(X1,esk16_1(esk18_1(X1)))
| ~ epred1_1(esk18_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(csr,[status(thm)],[1255,49]) ).
cnf(5773,plain,
( p102(X1)
| r1(X1,esk16_1(esk18_1(X1)))
| ~ epred1_1(esk18_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(csr,[status(thm)],[5772,50]) ).
cnf(5774,plain,
( p102(esk20_1(esk1_0))
| r1(esk20_1(esk1_0),esk16_1(esk18_1(esk20_1(esk1_0))))
| ~ epred1_1(esk20_1(esk1_0))
| ~ p101(esk20_1(esk1_0)) ),
inference(spm,[status(thm)],[5773,1614,theory(equality)]) ).
cnf(5776,plain,
( p102(esk20_1(esk1_0))
| r1(esk20_1(esk1_0),esk16_1(esk18_1(esk20_1(esk1_0))))
| $false
| ~ p101(esk20_1(esk1_0)) ),
inference(rw,[status(thm)],[5774,710,theory(equality)]) ).
cnf(5777,plain,
( p102(esk20_1(esk1_0))
| r1(esk20_1(esk1_0),esk16_1(esk18_1(esk20_1(esk1_0))))
| ~ p101(esk20_1(esk1_0)) ),
inference(cn,[status(thm)],[5776,theory(equality)]) ).
cnf(5781,plain,
( p102(esk20_1(esk1_0))
| r1(esk20_1(esk1_0),esk16_1(esk18_1(esk20_1(esk1_0))))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[5777,41,theory(equality)]) ).
cnf(5784,plain,
( p102(esk20_1(esk1_0))
| r1(esk20_1(esk1_0),esk16_1(esk18_1(esk20_1(esk1_0))))
| p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[5781,140,theory(equality)]) ).
cnf(5785,plain,
( p102(esk20_1(esk1_0))
| r1(esk20_1(esk1_0),esk16_1(esk18_1(esk20_1(esk1_0))))
| p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[5784,13,theory(equality)]) ).
cnf(5786,plain,
( p102(esk20_1(esk1_0))
| r1(esk20_1(esk1_0),esk16_1(esk18_1(esk20_1(esk1_0))))
| p101(esk1_0) ),
inference(cn,[status(thm)],[5785,theory(equality)]) ).
cnf(5787,plain,
( p102(esk20_1(esk1_0))
| r1(esk20_1(esk1_0),esk16_1(esk18_1(esk20_1(esk1_0)))) ),
inference(sr,[status(thm)],[5786,14,theory(equality)]) ).
cnf(5791,plain,
( r1(X1,esk16_1(esk18_1(esk20_1(esk1_0))))
| p102(esk20_1(esk1_0))
| ~ r1(X1,esk20_1(esk1_0)) ),
inference(spm,[status(thm)],[18,5787,theory(equality)]) ).
cnf(5881,plain,
( p102(esk20_1(esk1_0))
| r1(esk1_0,esk16_1(esk18_1(esk20_1(esk1_0))))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[5791,44,theory(equality)]) ).
cnf(5882,plain,
( p102(esk20_1(esk1_0))
| r1(esk1_0,esk16_1(esk18_1(esk20_1(esk1_0))))
| p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[5881,140,theory(equality)]) ).
cnf(5883,plain,
( p102(esk20_1(esk1_0))
| r1(esk1_0,esk16_1(esk18_1(esk20_1(esk1_0))))
| p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[5882,13,theory(equality)]) ).
cnf(5884,plain,
( p102(esk20_1(esk1_0))
| r1(esk1_0,esk16_1(esk18_1(esk20_1(esk1_0))))
| p101(esk1_0) ),
inference(cn,[status(thm)],[5883,theory(equality)]) ).
cnf(5885,plain,
( p102(esk20_1(esk1_0))
| r1(esk1_0,esk16_1(esk18_1(esk20_1(esk1_0)))) ),
inference(sr,[status(thm)],[5884,14,theory(equality)]) ).
cnf(5887,plain,
( epred1_1(esk16_1(esk18_1(esk20_1(esk1_0))))
| p102(esk20_1(esk1_0)) ),
inference(spm,[status(thm)],[15,5885,theory(equality)]) ).
cnf(8999,plain,
( p103(X1)
| p104(esk16_1(X1))
| r1(X1,esk14_1(esk16_1(X1)))
| ~ epred1_1(esk16_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(csr,[status(thm)],[1229,57]) ).
cnf(9000,plain,
( p103(X1)
| r1(X1,esk14_1(esk16_1(X1)))
| ~ epred1_1(esk16_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(csr,[status(thm)],[8999,58]) ).
cnf(9001,plain,
( p103(esk18_1(esk20_1(esk1_0)))
| r1(esk18_1(esk20_1(esk1_0)),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0)))))
| p102(esk20_1(esk1_0))
| ~ epred1_1(esk18_1(esk20_1(esk1_0)))
| ~ p102(esk18_1(esk20_1(esk1_0))) ),
inference(spm,[status(thm)],[9000,5887,theory(equality)]) ).
cnf(9005,plain,
( p103(esk18_1(esk20_1(esk1_0)))
| r1(esk18_1(esk20_1(esk1_0)),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0)))))
| p102(esk20_1(esk1_0))
| $false
| ~ p102(esk18_1(esk20_1(esk1_0))) ),
inference(rw,[status(thm)],[9001,1614,theory(equality)]) ).
cnf(9006,plain,
( p103(esk18_1(esk20_1(esk1_0)))
| r1(esk18_1(esk20_1(esk1_0)),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0)))))
| p102(esk20_1(esk1_0))
| ~ p102(esk18_1(esk20_1(esk1_0))) ),
inference(cn,[status(thm)],[9005,theory(equality)]) ).
cnf(9028,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| r1(esk18_1(esk20_1(esk1_0)),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0)))))
| ~ epred1_1(esk20_1(esk1_0))
| ~ p101(esk20_1(esk1_0)) ),
inference(spm,[status(thm)],[9006,49,theory(equality)]) ).
cnf(9031,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| r1(esk18_1(esk20_1(esk1_0)),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0)))))
| $false
| ~ p101(esk20_1(esk1_0)) ),
inference(rw,[status(thm)],[9028,710,theory(equality)]) ).
cnf(9032,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| r1(esk18_1(esk20_1(esk1_0)),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0)))))
| ~ p101(esk20_1(esk1_0)) ),
inference(cn,[status(thm)],[9031,theory(equality)]) ).
cnf(9034,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| r1(esk18_1(esk20_1(esk1_0)),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0)))))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[9032,41,theory(equality)]) ).
cnf(9037,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| r1(esk18_1(esk20_1(esk1_0)),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0)))))
| p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[9034,140,theory(equality)]) ).
cnf(9038,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| r1(esk18_1(esk20_1(esk1_0)),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0)))))
| p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[9037,13,theory(equality)]) ).
cnf(9039,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| r1(esk18_1(esk20_1(esk1_0)),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0)))))
| p101(esk1_0) ),
inference(cn,[status(thm)],[9038,theory(equality)]) ).
cnf(9040,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| r1(esk18_1(esk20_1(esk1_0)),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0))))) ),
inference(sr,[status(thm)],[9039,14,theory(equality)]) ).
cnf(9041,plain,
( r1(X1,esk14_1(esk16_1(esk18_1(esk20_1(esk1_0)))))
| p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| ~ r1(X1,esk18_1(esk20_1(esk1_0))) ),
inference(spm,[status(thm)],[18,9040,theory(equality)]) ).
cnf(9131,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| r1(esk1_0,esk14_1(esk16_1(esk18_1(esk20_1(esk1_0))))) ),
inference(spm,[status(thm)],[9041,1612,theory(equality)]) ).
cnf(9135,plain,
( p5(esk14_1(esk16_1(esk18_1(esk20_1(esk1_0)))))
| p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0))) ),
inference(spm,[status(thm)],[12,9131,theory(equality)]) ).
cnf(9228,plain,
( p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| ~ epred1_1(esk16_1(esk18_1(esk20_1(esk1_0))))
| ~ p103(esk16_1(esk18_1(esk20_1(esk1_0)))) ),
inference(spm,[status(thm)],[67,9135,theory(equality)]) ).
cnf(14511,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| ~ p103(esk16_1(esk18_1(esk20_1(esk1_0)))) ),
inference(csr,[status(thm)],[9228,5887]) ).
cnf(14513,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| ~ epred1_1(esk18_1(esk20_1(esk1_0)))
| ~ p102(esk18_1(esk20_1(esk1_0))) ),
inference(spm,[status(thm)],[14511,57,theory(equality)]) ).
cnf(14514,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| $false
| ~ p102(esk18_1(esk20_1(esk1_0))) ),
inference(rw,[status(thm)],[14513,1614,theory(equality)]) ).
cnf(14515,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| ~ p102(esk18_1(esk20_1(esk1_0))) ),
inference(cn,[status(thm)],[14514,theory(equality)]) ).
cnf(14517,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| ~ epred1_1(esk20_1(esk1_0))
| ~ p101(esk20_1(esk1_0)) ),
inference(spm,[status(thm)],[14515,49,theory(equality)]) ).
cnf(14520,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| $false
| ~ p101(esk20_1(esk1_0)) ),
inference(rw,[status(thm)],[14517,710,theory(equality)]) ).
cnf(14521,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| ~ p101(esk20_1(esk1_0)) ),
inference(cn,[status(thm)],[14520,theory(equality)]) ).
cnf(14523,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[14521,41,theory(equality)]) ).
cnf(14526,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[14523,140,theory(equality)]) ).
cnf(14527,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[14526,13,theory(equality)]) ).
cnf(14528,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| p101(esk1_0) ),
inference(cn,[status(thm)],[14527,theory(equality)]) ).
cnf(14529,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0)))) ),
inference(sr,[status(thm)],[14528,14,theory(equality)]) ).
cnf(14530,plain,
( p103(esk18_1(esk20_1(esk1_0)))
| p102(esk20_1(esk1_0))
| ~ epred1_1(esk18_1(esk20_1(esk1_0)))
| ~ p102(esk18_1(esk20_1(esk1_0))) ),
inference(spm,[status(thm)],[58,14529,theory(equality)]) ).
cnf(14533,plain,
( p103(esk18_1(esk20_1(esk1_0)))
| p102(esk20_1(esk1_0))
| $false
| ~ p102(esk18_1(esk20_1(esk1_0))) ),
inference(rw,[status(thm)],[14530,1614,theory(equality)]) ).
cnf(14534,plain,
( p103(esk18_1(esk20_1(esk1_0)))
| p102(esk20_1(esk1_0))
| ~ p102(esk18_1(esk20_1(esk1_0))) ),
inference(cn,[status(thm)],[14533,theory(equality)]) ).
cnf(14536,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| ~ epred1_1(esk20_1(esk1_0))
| ~ p101(esk20_1(esk1_0)) ),
inference(spm,[status(thm)],[14534,49,theory(equality)]) ).
cnf(14539,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| $false
| ~ p101(esk20_1(esk1_0)) ),
inference(rw,[status(thm)],[14536,710,theory(equality)]) ).
cnf(14540,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| ~ p101(esk20_1(esk1_0)) ),
inference(cn,[status(thm)],[14539,theory(equality)]) ).
cnf(14542,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[14540,41,theory(equality)]) ).
cnf(14545,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[14542,140,theory(equality)]) ).
cnf(14546,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[14545,13,theory(equality)]) ).
cnf(14547,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p101(esk1_0) ),
inference(cn,[status(thm)],[14546,theory(equality)]) ).
cnf(14548,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0))) ),
inference(sr,[status(thm)],[14547,14,theory(equality)]) ).
cnf(14549,plain,
( p102(esk20_1(esk1_0))
| ~ epred1_1(esk20_1(esk1_0))
| ~ p101(esk20_1(esk1_0)) ),
inference(spm,[status(thm)],[50,14548,theory(equality)]) ).
cnf(14553,plain,
( p102(esk20_1(esk1_0))
| $false
| ~ p101(esk20_1(esk1_0)) ),
inference(rw,[status(thm)],[14549,710,theory(equality)]) ).
cnf(14554,plain,
( p102(esk20_1(esk1_0))
| ~ p101(esk20_1(esk1_0)) ),
inference(cn,[status(thm)],[14553,theory(equality)]) ).
cnf(14556,plain,
( p102(esk20_1(esk1_0))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[14554,41,theory(equality)]) ).
cnf(14559,plain,
( p102(esk20_1(esk1_0))
| p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[14556,140,theory(equality)]) ).
cnf(14560,plain,
( p102(esk20_1(esk1_0))
| p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[14559,13,theory(equality)]) ).
cnf(14561,plain,
( p102(esk20_1(esk1_0))
| p101(esk1_0) ),
inference(cn,[status(thm)],[14560,theory(equality)]) ).
cnf(14562,plain,
p102(esk20_1(esk1_0)),
inference(sr,[status(thm)],[14561,14,theory(equality)]) ).
cnf(14563,plain,
( p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[42,14562,theory(equality)]) ).
cnf(14772,plain,
( p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[14563,140,theory(equality)]) ).
cnf(14773,plain,
( p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[14772,13,theory(equality)]) ).
cnf(14774,plain,
p101(esk1_0),
inference(cn,[status(thm)],[14773,theory(equality)]) ).
cnf(14775,plain,
$false,
inference(sr,[status(thm)],[14774,14,theory(equality)]) ).
cnf(14776,plain,
$false,
14775,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL674+1.010.p
% --creating new selector for []
% -running prover on /tmp/tmpCqNbCO/sel_LCL674+1.010.p_1 with time limit 29
% -prover status Theorem
% Problem LCL674+1.010.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL674+1.010.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL674+1.010.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
%
%------------------------------------------------------------------------------