%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LCL656+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 : art07.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 19:26:49 EST 2010
% Result : Theorem 1.86s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 91
% Number of leaves : 3
% Syntax : Number of formulae : 164 ( 11 unt; 0 def)
% Number of atoms : 3165 ( 0 equ)
% Maximal formula atoms : 485 ( 19 avg)
% Number of connectives : 5151 (2150 ~;2012 |; 988 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 9 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 : 703 ( 0 sgn 446 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p5(X1) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ) ) ) ) ) ) ) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
file('/tmp/tmpCdjxNv/sel_LCL656+1.010.p_1',main) ).
fof(2,axiom,
! [X1] : r1(X1,X1),
file('/tmp/tmpCdjxNv/sel_LCL656+1.010.p_1',reflexivity) ).
fof(3,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p5(X1) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ) ) ) ) ) ) ) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(4,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p5(X1) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ) ) ) ) ) ) ) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(5,plain,
! [X1] :
( epred1_1(X1)
=> ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ),
introduced(definition) ).
fof(6,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p5(X1) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| epred1_1(X1) ) ) ) ) ) ) ) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
inference(apply_def,[status(esa)],[4,5,theory(equality)]) ).
fof(7,negated_conjecture,
? [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p5(X1) ) ) ) ) ) ) ) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| epred1_1(X1) ) ) ) ) ) ) ) ) ) )
& ~ p101(X1)
& p100(X1) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(8,negated_conjecture,
? [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p5(X13) ) ) ) ) ) ) ) ) ) )
& ! [X14] :
( ~ r1(X3,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| epred1_1(X23) ) ) ) ) ) ) ) ) ) )
& ~ p101(X3)
& p100(X3) ),
inference(variable_rename,[status(thm)],[7]) ).
fof(9,negated_conjecture,
( ! [X4] :
( ~ r1(esk1_0,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p5(X13) ) ) ) ) ) ) ) ) ) )
& ! [X14] :
( ~ r1(esk1_0,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| epred1_1(X23) ) ) ) ) ) ) ) ) ) )
& ~ p101(esk1_0)
& p100(esk1_0) ),
inference(skolemize,[status(esa)],[8]) ).
fof(10,negated_conjecture,
! [X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23] :
( ( ~ r1(X22,X23)
| epred1_1(X23)
| ~ r1(X21,X22)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| ~ r1(X18,X19)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(esk1_0,X14) )
& ~ p101(esk1_0)
& p100(esk1_0)
& ( ~ r1(X12,X13)
| p5(X13)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(esk1_0,X4) ) ),
inference(shift_quantors,[status(thm)],[9]) ).
cnf(11,negated_conjecture,
( p5(X10)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10) ),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(12,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(13,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(14,negated_conjecture,
( epred1_1(X10)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10) ),
inference(split_conjunct,[status(thm)],[10]) ).
fof(15,plain,
! [X2] : r1(X2,X2),
inference(variable_rename,[status(thm)],[2]) ).
cnf(16,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[15]) ).
fof(17,plain,
! [X1] :
( ~ epred1_1(X1)
| ( ( ( ? [X2] :
( r1(X1,X2)
& ~ p11(X2)
& ~ p111(X2)
& p110(X2) )
& ? [X2] :
( r1(X1,X2)
& p11(X2)
& ~ p111(X2)
& p110(X2) ) )
| p110(X1)
| ~ p109(X1) )
& ( ( ? [X2] :
( r1(X1,X2)
& ~ p10(X2)
& ~ p110(X2)
& p109(X2) )
& ? [X2] :
( r1(X1,X2)
& p10(X2)
& ~ p110(X2)
& p109(X2) ) )
| p109(X1)
| ~ p108(X1) )
& ( ( ? [X2] :
( r1(X1,X2)
& ~ p9(X2)
& ~ p109(X2)
& p108(X2) )
& ? [X2] :
( r1(X1,X2)
& p9(X2)
& ~ p109(X2)
& p108(X2) ) )
| p108(X1)
| ~ p107(X1) )
& ( ( ? [X2] :
( r1(X1,X2)
& ~ p8(X2)
& ~ p108(X2)
& p107(X2) )
& ? [X2] :
( r1(X1,X2)
& p8(X2)
& ~ p108(X2)
& p107(X2) ) )
| p107(X1)
| ~ p106(X1) )
& ( ( ? [X2] :
( r1(X1,X2)
& ~ p7(X2)
& ~ p107(X2)
& p106(X2) )
& ? [X2] :
( r1(X1,X2)
& p7(X2)
& ~ p107(X2)
& p106(X2) ) )
| p106(X1)
| ~ p105(X1) )
& ( ( ? [X2] :
( r1(X1,X2)
& ~ p6(X2)
& ~ p106(X2)
& p105(X2) )
& ? [X2] :
( r1(X1,X2)
& p6(X2)
& ~ p106(X2)
& p105(X2) ) )
| p105(X1)
| ~ p104(X1) )
& ( ( ? [X2] :
( r1(X1,X2)
& ~ p5(X2)
& ~ p105(X2)
& p104(X2) )
& ? [X2] :
( r1(X1,X2)
& p5(X2)
& ~ p105(X2)
& p104(X2) ) )
| p104(X1)
| ~ p103(X1) )
& ( ( ? [X2] :
( r1(X1,X2)
& ~ p4(X2)
& ~ p104(X2)
& p103(X2) )
& ? [X2] :
( r1(X1,X2)
& p4(X2)
& ~ p104(X2)
& p103(X2) ) )
| p103(X1)
| ~ p102(X1) )
& ( ( ? [X2] :
( r1(X1,X2)
& ~ p3(X2)
& ~ p103(X2)
& p102(X2) )
& ? [X2] :
( r1(X1,X2)
& p3(X2)
& ~ p103(X2)
& p102(X2) ) )
| p102(X1)
| ~ p101(X1) )
& ( ( ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ~ p102(X2)
& p101(X2) )
& ? [X2] :
( r1(X1,X2)
& p2(X2)
& ~ p102(X2)
& p101(X2) ) )
| p101(X1)
| ~ p100(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(18,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)],[17]) ).
fof(19,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)],[18]) ).
fof(20,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)],[19]) ).
fof(21,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)],[20]) ).
cnf(33,plain,
( p101(X1)
| p101(esk21_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(34,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk21_1(X1)) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(36,plain,
( p101(X1)
| r1(X1,esk21_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(45,plain,
( p102(X1)
| p102(esk18_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(46,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(48,plain,
( p102(X1)
| r1(X1,esk18_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(53,plain,
( p103(X1)
| p103(esk16_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(54,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk16_1(X1)) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(56,plain,
( p103(X1)
| r1(X1,esk16_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(63,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p5(esk14_1(X1)) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(64,plain,
( p104(X1)
| r1(X1,esk14_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(614,negated_conjecture,
( p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(esk1_0,X9) ),
inference(spm,[status(thm)],[11,16,theory(equality)]) ).
cnf(641,negated_conjecture,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(esk1_0,X9) ),
inference(spm,[status(thm)],[14,16,theory(equality)]) ).
cnf(1172,plain,
( p5(X1)
| p101(esk1_0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk21_1(esk1_0),X8)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[614,36,theory(equality)]) ).
cnf(1194,plain,
( p5(X1)
| p101(esk1_0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk21_1(esk1_0),X8)
| ~ epred1_1(esk1_0)
| $false ),
inference(rw,[status(thm)],[1172,12,theory(equality)]) ).
cnf(1195,plain,
( p5(X1)
| p101(esk1_0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk21_1(esk1_0),X8)
| ~ epred1_1(esk1_0) ),
inference(cn,[status(thm)],[1194,theory(equality)]) ).
cnf(1196,plain,
( p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk21_1(esk1_0),X8)
| ~ epred1_1(esk1_0) ),
inference(sr,[status(thm)],[1195,13,theory(equality)]) ).
cnf(1239,negated_conjecture,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(spm,[status(thm)],[641,16,theory(equality)]) ).
cnf(1270,negated_conjecture,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(esk1_0,X7) ),
inference(spm,[status(thm)],[1239,16,theory(equality)]) ).
cnf(1297,negated_conjecture,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(esk1_0,X6) ),
inference(spm,[status(thm)],[1270,16,theory(equality)]) ).
cnf(1324,negated_conjecture,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(esk1_0,X5) ),
inference(spm,[status(thm)],[1297,16,theory(equality)]) ).
cnf(1351,negated_conjecture,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk1_0,X4) ),
inference(spm,[status(thm)],[1324,16,theory(equality)]) ).
cnf(1378,negated_conjecture,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(esk1_0,X3) ),
inference(spm,[status(thm)],[1351,16,theory(equality)]) ).
cnf(1405,negated_conjecture,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(esk1_0,X2) ),
inference(spm,[status(thm)],[1378,16,theory(equality)]) ).
cnf(1407,plain,
( epred1_1(X1)
| p101(esk1_0)
| ~ r1(X2,X1)
| ~ r1(esk21_1(esk1_0),X2)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[1378,36,theory(equality)]) ).
cnf(1429,plain,
( epred1_1(X1)
| p101(esk1_0)
| ~ r1(X2,X1)
| ~ r1(esk21_1(esk1_0),X2)
| ~ epred1_1(esk1_0)
| $false ),
inference(rw,[status(thm)],[1407,12,theory(equality)]) ).
cnf(1430,plain,
( epred1_1(X1)
| p101(esk1_0)
| ~ r1(X2,X1)
| ~ r1(esk21_1(esk1_0),X2)
| ~ epred1_1(esk1_0) ),
inference(cn,[status(thm)],[1429,theory(equality)]) ).
cnf(1431,plain,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(esk21_1(esk1_0),X2)
| ~ epred1_1(esk1_0) ),
inference(sr,[status(thm)],[1430,13,theory(equality)]) ).
cnf(1432,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[1405,16,theory(equality)]) ).
cnf(1434,plain,
( epred1_1(X1)
| p101(esk1_0)
| ~ r1(esk21_1(esk1_0),X1)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[1405,36,theory(equality)]) ).
cnf(1456,plain,
( epred1_1(X1)
| p101(esk1_0)
| ~ r1(esk21_1(esk1_0),X1)
| ~ epred1_1(esk1_0)
| $false ),
inference(rw,[status(thm)],[1434,12,theory(equality)]) ).
cnf(1457,plain,
( epred1_1(X1)
| p101(esk1_0)
| ~ r1(esk21_1(esk1_0),X1)
| ~ epred1_1(esk1_0) ),
inference(cn,[status(thm)],[1456,theory(equality)]) ).
cnf(1458,plain,
( epred1_1(X1)
| ~ r1(esk21_1(esk1_0),X1)
| ~ epred1_1(esk1_0) ),
inference(sr,[status(thm)],[1457,13,theory(equality)]) ).
cnf(1459,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[1432,16,theory(equality)]) ).
cnf(1461,plain,
( epred1_1(esk21_1(esk1_0))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[1432,36,theory(equality)]) ).
cnf(1483,plain,
( epred1_1(esk21_1(esk1_0))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| $false ),
inference(rw,[status(thm)],[1461,12,theory(equality)]) ).
cnf(1484,plain,
( epred1_1(esk21_1(esk1_0))
| p101(esk1_0)
| ~ epred1_1(esk1_0) ),
inference(cn,[status(thm)],[1483,theory(equality)]) ).
cnf(1485,plain,
( epred1_1(esk21_1(esk1_0))
| ~ epred1_1(esk1_0) ),
inference(sr,[status(thm)],[1484,13,theory(equality)]) ).
cnf(1487,plain,
( epred1_1(X1)
| $false
| ~ r1(esk21_1(esk1_0),X1) ),
inference(rw,[status(thm)],[1458,1459,theory(equality)]) ).
cnf(1488,plain,
( epred1_1(X1)
| ~ r1(esk21_1(esk1_0),X1) ),
inference(cn,[status(thm)],[1487,theory(equality)]) ).
cnf(1491,plain,
( epred1_1(esk21_1(esk1_0))
| $false ),
inference(rw,[status(thm)],[1485,1459,theory(equality)]) ).
cnf(1492,plain,
epred1_1(esk21_1(esk1_0)),
inference(cn,[status(thm)],[1491,theory(equality)]) ).
cnf(1541,plain,
( p5(X1)
| $false
| ~ r1(esk21_1(esk1_0),X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X2,X8) ),
inference(rw,[status(thm)],[1196,1459,theory(equality)]) ).
cnf(1542,plain,
( p5(X1)
| ~ r1(esk21_1(esk1_0),X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X2,X8) ),
inference(cn,[status(thm)],[1541,theory(equality)]) ).
cnf(1708,plain,
( epred1_1(esk18_1(esk21_1(esk1_0)))
| p102(esk21_1(esk1_0))
| ~ epred1_1(esk21_1(esk1_0))
| ~ p101(esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[1488,48,theory(equality)]) ).
cnf(1731,plain,
( epred1_1(esk18_1(esk21_1(esk1_0)))
| p102(esk21_1(esk1_0))
| $false
| ~ p101(esk21_1(esk1_0)) ),
inference(rw,[status(thm)],[1708,1492,theory(equality)]) ).
cnf(1732,plain,
( epred1_1(esk18_1(esk21_1(esk1_0)))
| p102(esk21_1(esk1_0))
| ~ p101(esk21_1(esk1_0)) ),
inference(cn,[status(thm)],[1731,theory(equality)]) ).
cnf(2178,plain,
( p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(esk21_1(esk1_0),X7) ),
inference(spm,[status(thm)],[1542,16,theory(equality)]) ).
cnf(2414,plain,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(esk21_1(esk1_0),X2)
| $false ),
inference(rw,[status(thm)],[1431,1459,theory(equality)]) ).
cnf(2415,plain,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(esk21_1(esk1_0),X2) ),
inference(cn,[status(thm)],[2414,theory(equality)]) ).
cnf(2419,plain,
( epred1_1(X1)
| p102(esk21_1(esk1_0))
| ~ r1(esk18_1(esk21_1(esk1_0)),X1)
| ~ epred1_1(esk21_1(esk1_0))
| ~ p101(esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[2415,48,theory(equality)]) ).
cnf(2441,plain,
( epred1_1(X1)
| p102(esk21_1(esk1_0))
| ~ r1(esk18_1(esk21_1(esk1_0)),X1)
| $false
| ~ p101(esk21_1(esk1_0)) ),
inference(rw,[status(thm)],[2419,1492,theory(equality)]) ).
cnf(2442,plain,
( epred1_1(X1)
| p102(esk21_1(esk1_0))
| ~ r1(esk18_1(esk21_1(esk1_0)),X1)
| ~ p101(esk21_1(esk1_0)) ),
inference(cn,[status(thm)],[2441,theory(equality)]) ).
cnf(2586,plain,
( epred1_1(esk18_1(esk21_1(esk1_0)))
| p102(esk21_1(esk1_0))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[1732,33,theory(equality)]) ).
cnf(2589,plain,
( epred1_1(esk18_1(esk21_1(esk1_0)))
| p102(esk21_1(esk1_0))
| p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[2586,1459,theory(equality)]) ).
cnf(2590,plain,
( epred1_1(esk18_1(esk21_1(esk1_0)))
| p102(esk21_1(esk1_0))
| p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[2589,12,theory(equality)]) ).
cnf(2591,plain,
( epred1_1(esk18_1(esk21_1(esk1_0)))
| p102(esk21_1(esk1_0))
| p101(esk1_0) ),
inference(cn,[status(thm)],[2590,theory(equality)]) ).
cnf(2592,plain,
( epred1_1(esk18_1(esk21_1(esk1_0)))
| p102(esk21_1(esk1_0)) ),
inference(sr,[status(thm)],[2591,13,theory(equality)]) ).
cnf(3423,plain,
( epred1_1(X1)
| p102(esk21_1(esk1_0))
| p101(esk1_0)
| ~ r1(esk18_1(esk21_1(esk1_0)),X1)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[2442,33,theory(equality)]) ).
cnf(3426,plain,
( epred1_1(X1)
| p102(esk21_1(esk1_0))
| p101(esk1_0)
| ~ r1(esk18_1(esk21_1(esk1_0)),X1)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[3423,1459,theory(equality)]) ).
cnf(3427,plain,
( epred1_1(X1)
| p102(esk21_1(esk1_0))
| p101(esk1_0)
| ~ r1(esk18_1(esk21_1(esk1_0)),X1)
| $false
| $false ),
inference(rw,[status(thm)],[3426,12,theory(equality)]) ).
cnf(3428,plain,
( epred1_1(X1)
| p102(esk21_1(esk1_0))
| p101(esk1_0)
| ~ r1(esk18_1(esk21_1(esk1_0)),X1) ),
inference(cn,[status(thm)],[3427,theory(equality)]) ).
cnf(3429,plain,
( epred1_1(X1)
| p102(esk21_1(esk1_0))
| ~ r1(esk18_1(esk21_1(esk1_0)),X1) ),
inference(sr,[status(thm)],[3428,13,theory(equality)]) ).
cnf(3449,plain,
( epred1_1(esk16_1(esk18_1(esk21_1(esk1_0))))
| p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| ~ epred1_1(esk18_1(esk21_1(esk1_0)))
| ~ p102(esk18_1(esk21_1(esk1_0))) ),
inference(spm,[status(thm)],[3429,56,theory(equality)]) ).
cnf(5151,plain,
( epred1_1(esk16_1(esk18_1(esk21_1(esk1_0))))
| p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| ~ p102(esk18_1(esk21_1(esk1_0))) ),
inference(csr,[status(thm)],[3449,2592]) ).
cnf(5153,plain,
( epred1_1(esk16_1(esk18_1(esk21_1(esk1_0))))
| p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| ~ epred1_1(esk21_1(esk1_0))
| ~ p101(esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[5151,45,theory(equality)]) ).
cnf(5154,plain,
( epred1_1(esk16_1(esk18_1(esk21_1(esk1_0))))
| p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| $false
| ~ p101(esk21_1(esk1_0)) ),
inference(rw,[status(thm)],[5153,1492,theory(equality)]) ).
cnf(5155,plain,
( epred1_1(esk16_1(esk18_1(esk21_1(esk1_0))))
| p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| ~ p101(esk21_1(esk1_0)) ),
inference(cn,[status(thm)],[5154,theory(equality)]) ).
cnf(5157,plain,
( epred1_1(esk16_1(esk18_1(esk21_1(esk1_0))))
| p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[5155,33,theory(equality)]) ).
cnf(5160,plain,
( epred1_1(esk16_1(esk18_1(esk21_1(esk1_0))))
| p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[5157,1459,theory(equality)]) ).
cnf(5161,plain,
( epred1_1(esk16_1(esk18_1(esk21_1(esk1_0))))
| p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[5160,12,theory(equality)]) ).
cnf(5162,plain,
( epred1_1(esk16_1(esk18_1(esk21_1(esk1_0))))
| p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p101(esk1_0) ),
inference(cn,[status(thm)],[5161,theory(equality)]) ).
cnf(5163,plain,
( epred1_1(esk16_1(esk18_1(esk21_1(esk1_0))))
| p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0))) ),
inference(sr,[status(thm)],[5162,13,theory(equality)]) ).
cnf(5363,plain,
( p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(esk21_1(esk1_0),X6) ),
inference(spm,[status(thm)],[2178,16,theory(equality)]) ).
cnf(5460,plain,
( p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(esk21_1(esk1_0),X5) ),
inference(spm,[status(thm)],[5363,16,theory(equality)]) ).
cnf(5535,plain,
( p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk21_1(esk1_0),X4) ),
inference(spm,[status(thm)],[5460,16,theory(equality)]) ).
cnf(5610,plain,
( p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(esk21_1(esk1_0),X3) ),
inference(spm,[status(thm)],[5535,16,theory(equality)]) ).
cnf(5688,plain,
( p5(X1)
| p102(esk21_1(esk1_0))
| ~ r1(X2,X1)
| ~ r1(esk18_1(esk21_1(esk1_0)),X2)
| ~ epred1_1(esk21_1(esk1_0))
| ~ p101(esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[5610,48,theory(equality)]) ).
cnf(5710,plain,
( p5(X1)
| p102(esk21_1(esk1_0))
| ~ r1(X2,X1)
| ~ r1(esk18_1(esk21_1(esk1_0)),X2)
| $false
| ~ p101(esk21_1(esk1_0)) ),
inference(rw,[status(thm)],[5688,1492,theory(equality)]) ).
cnf(5711,plain,
( p5(X1)
| p102(esk21_1(esk1_0))
| ~ r1(X2,X1)
| ~ r1(esk18_1(esk21_1(esk1_0)),X2)
| ~ p101(esk21_1(esk1_0)) ),
inference(cn,[status(thm)],[5710,theory(equality)]) ).
cnf(6040,plain,
( p102(esk21_1(esk1_0))
| p5(X1)
| p101(esk1_0)
| ~ r1(esk18_1(esk21_1(esk1_0)),X2)
| ~ r1(X2,X1)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[5711,33,theory(equality)]) ).
cnf(6043,plain,
( p102(esk21_1(esk1_0))
| p5(X1)
| p101(esk1_0)
| ~ r1(esk18_1(esk21_1(esk1_0)),X2)
| ~ r1(X2,X1)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[6040,1459,theory(equality)]) ).
cnf(6044,plain,
( p102(esk21_1(esk1_0))
| p5(X1)
| p101(esk1_0)
| ~ r1(esk18_1(esk21_1(esk1_0)),X2)
| ~ r1(X2,X1)
| $false
| $false ),
inference(rw,[status(thm)],[6043,12,theory(equality)]) ).
cnf(6045,plain,
( p102(esk21_1(esk1_0))
| p5(X1)
| p101(esk1_0)
| ~ r1(esk18_1(esk21_1(esk1_0)),X2)
| ~ r1(X2,X1) ),
inference(cn,[status(thm)],[6044,theory(equality)]) ).
cnf(6046,plain,
( p102(esk21_1(esk1_0))
| p5(X1)
| ~ r1(esk18_1(esk21_1(esk1_0)),X2)
| ~ r1(X2,X1) ),
inference(sr,[status(thm)],[6045,13,theory(equality)]) ).
cnf(6066,plain,
( p102(esk21_1(esk1_0))
| p5(X1)
| p103(esk18_1(esk21_1(esk1_0)))
| ~ r1(esk16_1(esk18_1(esk21_1(esk1_0))),X1)
| ~ epred1_1(esk18_1(esk21_1(esk1_0)))
| ~ p102(esk18_1(esk21_1(esk1_0))) ),
inference(spm,[status(thm)],[6046,56,theory(equality)]) ).
cnf(9425,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p5(X1)
| ~ p102(esk18_1(esk21_1(esk1_0)))
| ~ r1(esk16_1(esk18_1(esk21_1(esk1_0))),X1) ),
inference(csr,[status(thm)],[6066,2592]) ).
cnf(9427,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p5(X1)
| ~ r1(esk16_1(esk18_1(esk21_1(esk1_0))),X1)
| ~ epred1_1(esk21_1(esk1_0))
| ~ p101(esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[9425,45,theory(equality)]) ).
cnf(9428,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p5(X1)
| ~ r1(esk16_1(esk18_1(esk21_1(esk1_0))),X1)
| $false
| ~ p101(esk21_1(esk1_0)) ),
inference(rw,[status(thm)],[9427,1492,theory(equality)]) ).
cnf(9429,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p5(X1)
| ~ r1(esk16_1(esk18_1(esk21_1(esk1_0))),X1)
| ~ p101(esk21_1(esk1_0)) ),
inference(cn,[status(thm)],[9428,theory(equality)]) ).
cnf(9431,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p5(X1)
| p101(esk1_0)
| ~ r1(esk16_1(esk18_1(esk21_1(esk1_0))),X1)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[9429,33,theory(equality)]) ).
cnf(9434,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p5(X1)
| p101(esk1_0)
| ~ r1(esk16_1(esk18_1(esk21_1(esk1_0))),X1)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[9431,1459,theory(equality)]) ).
cnf(9435,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p5(X1)
| p101(esk1_0)
| ~ r1(esk16_1(esk18_1(esk21_1(esk1_0))),X1)
| $false
| $false ),
inference(rw,[status(thm)],[9434,12,theory(equality)]) ).
cnf(9436,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p5(X1)
| p101(esk1_0)
| ~ r1(esk16_1(esk18_1(esk21_1(esk1_0))),X1) ),
inference(cn,[status(thm)],[9435,theory(equality)]) ).
cnf(9437,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p5(X1)
| ~ r1(esk16_1(esk18_1(esk21_1(esk1_0))),X1) ),
inference(sr,[status(thm)],[9436,13,theory(equality)]) ).
cnf(9456,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p5(esk14_1(esk16_1(esk18_1(esk21_1(esk1_0)))))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| ~ epred1_1(esk16_1(esk18_1(esk21_1(esk1_0))))
| ~ p103(esk16_1(esk18_1(esk21_1(esk1_0)))) ),
inference(spm,[status(thm)],[9437,64,theory(equality)]) ).
cnf(13813,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p5(esk14_1(esk16_1(esk18_1(esk21_1(esk1_0)))))
| ~ p103(esk16_1(esk18_1(esk21_1(esk1_0)))) ),
inference(csr,[status(thm)],[9456,5163]) ).
cnf(13815,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p5(esk14_1(esk16_1(esk18_1(esk21_1(esk1_0)))))
| ~ epred1_1(esk18_1(esk21_1(esk1_0)))
| ~ p102(esk18_1(esk21_1(esk1_0))) ),
inference(spm,[status(thm)],[13813,53,theory(equality)]) ).
cnf(13846,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p5(esk14_1(esk16_1(esk18_1(esk21_1(esk1_0)))))
| ~ p102(esk18_1(esk21_1(esk1_0))) ),
inference(csr,[status(thm)],[13815,2592]) ).
cnf(13848,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p5(esk14_1(esk16_1(esk18_1(esk21_1(esk1_0)))))
| ~ epred1_1(esk21_1(esk1_0))
| ~ p101(esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[13846,45,theory(equality)]) ).
cnf(13849,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p5(esk14_1(esk16_1(esk18_1(esk21_1(esk1_0)))))
| $false
| ~ p101(esk21_1(esk1_0)) ),
inference(rw,[status(thm)],[13848,1492,theory(equality)]) ).
cnf(13850,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p5(esk14_1(esk16_1(esk18_1(esk21_1(esk1_0)))))
| ~ p101(esk21_1(esk1_0)) ),
inference(cn,[status(thm)],[13849,theory(equality)]) ).
cnf(13852,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p5(esk14_1(esk16_1(esk18_1(esk21_1(esk1_0)))))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[13850,33,theory(equality)]) ).
cnf(13855,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p5(esk14_1(esk16_1(esk18_1(esk21_1(esk1_0)))))
| p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[13852,1459,theory(equality)]) ).
cnf(13856,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p5(esk14_1(esk16_1(esk18_1(esk21_1(esk1_0)))))
| p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[13855,12,theory(equality)]) ).
cnf(13857,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p5(esk14_1(esk16_1(esk18_1(esk21_1(esk1_0)))))
| p101(esk1_0) ),
inference(cn,[status(thm)],[13856,theory(equality)]) ).
cnf(13858,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p5(esk14_1(esk16_1(esk18_1(esk21_1(esk1_0))))) ),
inference(sr,[status(thm)],[13857,13,theory(equality)]) ).
cnf(13859,plain,
( p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| ~ epred1_1(esk16_1(esk18_1(esk21_1(esk1_0))))
| ~ p103(esk16_1(esk18_1(esk21_1(esk1_0)))) ),
inference(spm,[status(thm)],[63,13858,theory(equality)]) ).
cnf(13860,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| ~ p103(esk16_1(esk18_1(esk21_1(esk1_0)))) ),
inference(csr,[status(thm)],[13859,5163]) ).
cnf(13862,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| ~ epred1_1(esk18_1(esk21_1(esk1_0)))
| ~ p102(esk18_1(esk21_1(esk1_0))) ),
inference(spm,[status(thm)],[13860,53,theory(equality)]) ).
cnf(13863,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| ~ p102(esk18_1(esk21_1(esk1_0))) ),
inference(csr,[status(thm)],[13862,2592]) ).
cnf(13865,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| ~ epred1_1(esk21_1(esk1_0))
| ~ p101(esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[13863,45,theory(equality)]) ).
cnf(13866,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| $false
| ~ p101(esk21_1(esk1_0)) ),
inference(rw,[status(thm)],[13865,1492,theory(equality)]) ).
cnf(13867,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| ~ p101(esk21_1(esk1_0)) ),
inference(cn,[status(thm)],[13866,theory(equality)]) ).
cnf(13869,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[13867,33,theory(equality)]) ).
cnf(13872,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[13869,1459,theory(equality)]) ).
cnf(13873,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[13872,12,theory(equality)]) ).
cnf(13874,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p101(esk1_0) ),
inference(cn,[status(thm)],[13873,theory(equality)]) ).
cnf(13875,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0)))) ),
inference(sr,[status(thm)],[13874,13,theory(equality)]) ).
cnf(13882,plain,
( p103(esk18_1(esk21_1(esk1_0)))
| p102(esk21_1(esk1_0))
| ~ epred1_1(esk18_1(esk21_1(esk1_0)))
| ~ p102(esk18_1(esk21_1(esk1_0))) ),
inference(spm,[status(thm)],[54,13875,theory(equality)]) ).
cnf(13917,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| ~ p102(esk18_1(esk21_1(esk1_0))) ),
inference(csr,[status(thm)],[13882,2592]) ).
cnf(13919,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| ~ epred1_1(esk21_1(esk1_0))
| ~ p101(esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[13917,45,theory(equality)]) ).
cnf(13920,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| $false
| ~ p101(esk21_1(esk1_0)) ),
inference(rw,[status(thm)],[13919,1492,theory(equality)]) ).
cnf(13921,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| ~ p101(esk21_1(esk1_0)) ),
inference(cn,[status(thm)],[13920,theory(equality)]) ).
cnf(13923,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[13921,33,theory(equality)]) ).
cnf(13926,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[13923,1459,theory(equality)]) ).
cnf(13927,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[13926,12,theory(equality)]) ).
cnf(13928,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p101(esk1_0) ),
inference(cn,[status(thm)],[13927,theory(equality)]) ).
cnf(13929,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0))) ),
inference(sr,[status(thm)],[13928,13,theory(equality)]) ).
cnf(13930,plain,
( p102(esk21_1(esk1_0))
| ~ epred1_1(esk21_1(esk1_0))
| ~ p101(esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[46,13929,theory(equality)]) ).
cnf(13945,plain,
( p102(esk21_1(esk1_0))
| $false
| ~ p101(esk21_1(esk1_0)) ),
inference(rw,[status(thm)],[13930,1492,theory(equality)]) ).
cnf(13946,plain,
( p102(esk21_1(esk1_0))
| ~ p101(esk21_1(esk1_0)) ),
inference(cn,[status(thm)],[13945,theory(equality)]) ).
cnf(13948,plain,
( p102(esk21_1(esk1_0))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[13946,33,theory(equality)]) ).
cnf(13951,plain,
( p102(esk21_1(esk1_0))
| p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[13948,1459,theory(equality)]) ).
cnf(13952,plain,
( p102(esk21_1(esk1_0))
| p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[13951,12,theory(equality)]) ).
cnf(13953,plain,
( p102(esk21_1(esk1_0))
| p101(esk1_0) ),
inference(cn,[status(thm)],[13952,theory(equality)]) ).
cnf(13954,plain,
p102(esk21_1(esk1_0)),
inference(sr,[status(thm)],[13953,13,theory(equality)]) ).
cnf(13955,plain,
( p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[34,13954,theory(equality)]) ).
cnf(14238,plain,
( p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[13955,1459,theory(equality)]) ).
cnf(14239,plain,
( p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[14238,12,theory(equality)]) ).
cnf(14240,plain,
p101(esk1_0),
inference(cn,[status(thm)],[14239,theory(equality)]) ).
cnf(14241,plain,
$false,
inference(sr,[status(thm)],[14240,13,theory(equality)]) ).
cnf(14242,plain,
$false,
14241,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL656+1.010.p
% --creating new selector for []
% -running prover on /tmp/tmpCdjxNv/sel_LCL656+1.010.p_1 with time limit 29
% -prover status Theorem
% Problem LCL656+1.010.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL656+1.010.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL656+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
%
%------------------------------------------------------------------------------