%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LCL674+1.020 : 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 20:19:48 EST 2010
% Result : Theorem 0.65s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 4
% Syntax : Number of formulae : 83 ( 9 unt; 0 def)
% Number of atoms : 4697 ( 0 equ)
% Maximal formula atoms : 955 ( 56 avg)
% Number of connectives : 7983 (3369 ~;2673 |;1939 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 269 ( 15 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 46 ( 45 usr; 1 prp; 0-2 aty)
% Number of functors : 41 ( 41 usr; 1 con; 0-1 aty)
% Number of variables : 720 ( 0 sgn 571 !; 86 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p8(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p21(X1)
& ~ p121(X1)
& p120(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p21(X1)
& ~ p121(X1)
& p120(X1) ) ) )
| ~ ( ~ p120(X2)
& p119(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p20(X1)
& ~ p120(X1)
& p119(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p20(X1)
& ~ p120(X1)
& p119(X1) ) ) )
| ~ ( ~ p119(X2)
& p118(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p19(X1)
& ~ p119(X1)
& p118(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p19(X1)
& ~ p119(X1)
& p118(X1) ) ) )
| ~ ( ~ p118(X2)
& p117(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p18(X1)
& ~ p118(X1)
& p117(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p18(X1)
& ~ p118(X1)
& p117(X1) ) ) )
| ~ ( ~ p117(X2)
& p116(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p17(X1)
& ~ p117(X1)
& p116(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p17(X1)
& ~ p117(X1)
& p116(X1) ) ) )
| ~ ( ~ p116(X2)
& p115(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p16(X1)
& ~ p116(X1)
& p115(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p16(X1)
& ~ p116(X1)
& p115(X1) ) ) )
| ~ ( ~ p115(X2)
& p114(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p15(X1)
& ~ p115(X1)
& p114(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p15(X1)
& ~ p115(X1)
& p114(X1) ) ) )
| ~ ( ~ p114(X2)
& p113(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p14(X1)
& ~ p114(X1)
& p113(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p14(X1)
& ~ p114(X1)
& p113(X1) ) ) )
| ~ ( ~ p113(X2)
& p112(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p13(X1)
& ~ p113(X1)
& p112(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p13(X1)
& ~ p113(X1)
& p112(X1) ) ) )
| ~ ( ~ p112(X2)
& p111(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p12(X1)
& ~ p112(X1)
& p111(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p12(X1)
& ~ p112(X1)
& p111(X1) ) ) )
| ~ ( ~ p111(X2)
& p110(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)
| ~ p21(X1)
| ~ p120(X1) )
| p21(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p21(X1)
| ~ p120(X1) )
| ~ p21(X2) ) )
| ~ p120(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p20(X1)
| ~ p119(X1) )
| p20(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p20(X1)
| ~ p119(X1) )
| ~ p20(X2) ) )
| ~ p119(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p19(X1)
| ~ p118(X1) )
| p19(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p19(X1)
| ~ p118(X1) )
| ~ p19(X2) ) )
| ~ p118(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p18(X1)
| ~ p117(X1) )
| p18(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p18(X1)
| ~ p117(X1) )
| ~ p18(X2) ) )
| ~ p117(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p17(X1)
| ~ p116(X1) )
| p17(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p17(X1)
| ~ p116(X1) )
| ~ p17(X2) ) )
| ~ p116(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p16(X1)
| ~ p115(X1) )
| p16(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p16(X1)
| ~ p115(X1) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p15(X1)
| ~ p114(X1) )
| p15(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p15(X1)
| ~ p114(X1) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p14(X1)
| ~ p113(X1) )
| p14(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p14(X1)
| ~ p113(X1) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p13(X1)
| ~ p112(X1) )
| p13(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p13(X1)
| ~ p112(X1) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p12(X1)
| ~ p111(X1) )
| p12(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p12(X1)
| ~ p111(X1) )
| ~ p12(X2) ) )
| ~ p111(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) )
& ( p120(X2)
| ~ p121(X2) )
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(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/tmptl4e3p/sel_LCL674+1.020.p_1',main) ).
fof(2,axiom,
! [X1,X2,X3] :
( ( r1(X1,X2)
& r1(X2,X3) )
=> r1(X1,X3) ),
file('/tmp/tmptl4e3p/sel_LCL674+1.020.p_1',transitivity) ).
fof(3,axiom,
! [X1] : r1(X1,X1),
file('/tmp/tmptl4e3p/sel_LCL674+1.020.p_1',reflexivity) ).
fof(4,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p8(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p21(X1)
& ~ p121(X1)
& p120(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p21(X1)
& ~ p121(X1)
& p120(X1) ) ) )
| ~ ( ~ p120(X2)
& p119(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p20(X1)
& ~ p120(X1)
& p119(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p20(X1)
& ~ p120(X1)
& p119(X1) ) ) )
| ~ ( ~ p119(X2)
& p118(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p19(X1)
& ~ p119(X1)
& p118(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p19(X1)
& ~ p119(X1)
& p118(X1) ) ) )
| ~ ( ~ p118(X2)
& p117(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p18(X1)
& ~ p118(X1)
& p117(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p18(X1)
& ~ p118(X1)
& p117(X1) ) ) )
| ~ ( ~ p117(X2)
& p116(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p17(X1)
& ~ p117(X1)
& p116(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p17(X1)
& ~ p117(X1)
& p116(X1) ) ) )
| ~ ( ~ p116(X2)
& p115(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p16(X1)
& ~ p116(X1)
& p115(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p16(X1)
& ~ p116(X1)
& p115(X1) ) ) )
| ~ ( ~ p115(X2)
& p114(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p15(X1)
& ~ p115(X1)
& p114(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p15(X1)
& ~ p115(X1)
& p114(X1) ) ) )
| ~ ( ~ p114(X2)
& p113(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p14(X1)
& ~ p114(X1)
& p113(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p14(X1)
& ~ p114(X1)
& p113(X1) ) ) )
| ~ ( ~ p113(X2)
& p112(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p13(X1)
& ~ p113(X1)
& p112(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p13(X1)
& ~ p113(X1)
& p112(X1) ) ) )
| ~ ( ~ p112(X2)
& p111(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p12(X1)
& ~ p112(X1)
& p111(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p12(X1)
& ~ p112(X1)
& p111(X1) ) ) )
| ~ ( ~ p111(X2)
& p110(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)
| ~ p21(X1)
| ~ p120(X1) )
| p21(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p21(X1)
| ~ p120(X1) )
| ~ p21(X2) ) )
| ~ p120(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p20(X1)
| ~ p119(X1) )
| p20(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p20(X1)
| ~ p119(X1) )
| ~ p20(X2) ) )
| ~ p119(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p19(X1)
| ~ p118(X1) )
| p19(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p19(X1)
| ~ p118(X1) )
| ~ p19(X2) ) )
| ~ p118(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p18(X1)
| ~ p117(X1) )
| p18(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p18(X1)
| ~ p117(X1) )
| ~ p18(X2) ) )
| ~ p117(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p17(X1)
| ~ p116(X1) )
| p17(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p17(X1)
| ~ p116(X1) )
| ~ p17(X2) ) )
| ~ p116(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p16(X1)
| ~ p115(X1) )
| p16(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p16(X1)
| ~ p115(X1) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p15(X1)
| ~ p114(X1) )
| p15(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p15(X1)
| ~ p114(X1) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p14(X1)
| ~ p113(X1) )
| p14(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p14(X1)
| ~ p113(X1) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p13(X1)
| ~ p112(X1) )
| p13(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p13(X1)
| ~ p112(X1) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p12(X1)
| ~ p111(X1) )
| p12(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p12(X1)
| ~ p111(X1) )
| ~ p12(X2) ) )
| ~ p111(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) )
& ( p120(X2)
| ~ p121(X2) )
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(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)
| p8(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p21(X1)
& ~ p121(X1)
& p120(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p21(X1)
& ~ p121(X1)
& p120(X1) ) ) )
| ~ ( ~ p120(X2)
& p119(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p20(X1)
& ~ p120(X1)
& p119(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p20(X1)
& ~ p120(X1)
& p119(X1) ) ) )
| ~ ( ~ p119(X2)
& p118(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p19(X1)
& ~ p119(X1)
& p118(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p19(X1)
& ~ p119(X1)
& p118(X1) ) ) )
| ~ ( ~ p118(X2)
& p117(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p18(X1)
& ~ p118(X1)
& p117(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p18(X1)
& ~ p118(X1)
& p117(X1) ) ) )
| ~ ( ~ p117(X2)
& p116(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p17(X1)
& ~ p117(X1)
& p116(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p17(X1)
& ~ p117(X1)
& p116(X1) ) ) )
| ~ ( ~ p116(X2)
& p115(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p16(X1)
& ~ p116(X1)
& p115(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p16(X1)
& ~ p116(X1)
& p115(X1) ) ) )
| ~ ( ~ p115(X2)
& p114(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p15(X1)
& ~ p115(X1)
& p114(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p15(X1)
& ~ p115(X1)
& p114(X1) ) ) )
| ~ ( ~ p114(X2)
& p113(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p14(X1)
& ~ p114(X1)
& p113(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p14(X1)
& ~ p114(X1)
& p113(X1) ) ) )
| ~ ( ~ p113(X2)
& p112(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p13(X1)
& ~ p113(X1)
& p112(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p13(X1)
& ~ p113(X1)
& p112(X1) ) ) )
| ~ ( ~ p112(X2)
& p111(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p12(X1)
& ~ p112(X1)
& p111(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p12(X1)
& ~ p112(X1)
& p111(X1) ) ) )
| ~ ( ~ p111(X2)
& p110(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)
| ~ p21(X1)
| ~ p120(X1) )
| p21(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p21(X1)
| ~ p120(X1) )
| ~ p21(X2) ) )
| ~ p120(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p20(X1)
| ~ p119(X1) )
| p20(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p20(X1)
| ~ p119(X1) )
| ~ p20(X2) ) )
| ~ p119(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p19(X1)
| ~ p118(X1) )
| p19(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p19(X1)
| ~ p118(X1) )
| ~ p19(X2) ) )
| ~ p118(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p18(X1)
| ~ p117(X1) )
| p18(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p18(X1)
| ~ p117(X1) )
| ~ p18(X2) ) )
| ~ p117(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p17(X1)
| ~ p116(X1) )
| p17(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p17(X1)
| ~ p116(X1) )
| ~ p17(X2) ) )
| ~ p116(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p16(X1)
| ~ p115(X1) )
| p16(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p16(X1)
| ~ p115(X1) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p15(X1)
| ~ p114(X1) )
| p15(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p15(X1)
| ~ p114(X1) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p14(X1)
| ~ p113(X1) )
| p14(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p14(X1)
| ~ p113(X1) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p13(X1)
| ~ p112(X1) )
| p13(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p13(X1)
| ~ p112(X1) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p12(X1)
| ~ p111(X1) )
| p12(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p12(X1)
| ~ p111(X1) )
| ~ p12(X2) ) )
| ~ p111(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) )
& ( p120(X2)
| ~ p121(X2) )
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(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)
| ~ ( ~ p21(X1)
& ~ p121(X1)
& p120(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p21(X1)
& ~ p121(X1)
& p120(X1) ) ) )
| ~ ( ~ p120(X2)
& p119(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p20(X1)
& ~ p120(X1)
& p119(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p20(X1)
& ~ p120(X1)
& p119(X1) ) ) )
| ~ ( ~ p119(X2)
& p118(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p19(X1)
& ~ p119(X1)
& p118(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p19(X1)
& ~ p119(X1)
& p118(X1) ) ) )
| ~ ( ~ p118(X2)
& p117(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p18(X1)
& ~ p118(X1)
& p117(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p18(X1)
& ~ p118(X1)
& p117(X1) ) ) )
| ~ ( ~ p117(X2)
& p116(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p17(X1)
& ~ p117(X1)
& p116(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p17(X1)
& ~ p117(X1)
& p116(X1) ) ) )
| ~ ( ~ p116(X2)
& p115(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p16(X1)
& ~ p116(X1)
& p115(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p16(X1)
& ~ p116(X1)
& p115(X1) ) ) )
| ~ ( ~ p115(X2)
& p114(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p15(X1)
& ~ p115(X1)
& p114(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p15(X1)
& ~ p115(X1)
& p114(X1) ) ) )
| ~ ( ~ p114(X2)
& p113(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p14(X1)
& ~ p114(X1)
& p113(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p14(X1)
& ~ p114(X1)
& p113(X1) ) ) )
| ~ ( ~ p113(X2)
& p112(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p13(X1)
& ~ p113(X1)
& p112(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p13(X1)
& ~ p113(X1)
& p112(X1) ) ) )
| ~ ( ~ p112(X2)
& p111(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p12(X1)
& ~ p112(X1)
& p111(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p12(X1)
& ~ p112(X1)
& p111(X1) ) ) )
| ~ ( ~ p111(X2)
& p110(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)
| ~ p21(X1)
| ~ p120(X1) )
| p21(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p21(X1)
| ~ p120(X1) )
| ~ p21(X2) ) )
| ~ p120(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p20(X1)
| ~ p119(X1) )
| p20(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p20(X1)
| ~ p119(X1) )
| ~ p20(X2) ) )
| ~ p119(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p19(X1)
| ~ p118(X1) )
| p19(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p19(X1)
| ~ p118(X1) )
| ~ p19(X2) ) )
| ~ p118(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p18(X1)
| ~ p117(X1) )
| p18(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p18(X1)
| ~ p117(X1) )
| ~ p18(X2) ) )
| ~ p117(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p17(X1)
| ~ p116(X1) )
| p17(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p17(X1)
| ~ p116(X1) )
| ~ p17(X2) ) )
| ~ p116(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p16(X1)
| ~ p115(X1) )
| p16(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p16(X1)
| ~ p115(X1) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p15(X1)
| ~ p114(X1) )
| p15(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p15(X1)
| ~ p114(X1) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p14(X1)
| ~ p113(X1) )
| p14(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p14(X1)
| ~ p113(X1) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p13(X1)
| ~ p112(X1) )
| p13(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p13(X1)
| ~ p112(X1) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p12(X1)
| ~ p111(X1) )
| p12(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p12(X1)
| ~ p111(X1) )
| ~ p12(X2) ) )
| ~ p111(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) )
& ( p120(X2)
| ~ p121(X2) )
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(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)
| p8(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)
| p8(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)
| p8(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)
| p8(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)
| p8(X4) ) ),
inference(shift_quantors,[status(thm)],[10]) ).
cnf(12,negated_conjecture,
( p8(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)
& ~ p21(X1)
& ~ p121(X1)
& p120(X1) )
& ? [X1] :
( r1(X2,X1)
& p21(X1)
& ~ p121(X1)
& p120(X1) ) )
| p120(X2)
| ~ p119(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p20(X1)
& ~ p120(X1)
& p119(X1) )
& ? [X1] :
( r1(X2,X1)
& p20(X1)
& ~ p120(X1)
& p119(X1) ) )
| p119(X2)
| ~ p118(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p19(X1)
& ~ p119(X1)
& p118(X1) )
& ? [X1] :
( r1(X2,X1)
& p19(X1)
& ~ p119(X1)
& p118(X1) ) )
| p118(X2)
| ~ p117(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p18(X1)
& ~ p118(X1)
& p117(X1) )
& ? [X1] :
( r1(X2,X1)
& p18(X1)
& ~ p118(X1)
& p117(X1) ) )
| p117(X2)
| ~ p116(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p17(X1)
& ~ p117(X1)
& p116(X1) )
& ? [X1] :
( r1(X2,X1)
& p17(X1)
& ~ p117(X1)
& p116(X1) ) )
| p116(X2)
| ~ p115(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p16(X1)
& ~ p116(X1)
& p115(X1) )
& ? [X1] :
( r1(X2,X1)
& p16(X1)
& ~ p116(X1)
& p115(X1) ) )
| p115(X2)
| ~ p114(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p15(X1)
& ~ p115(X1)
& p114(X1) )
& ? [X1] :
( r1(X2,X1)
& p15(X1)
& ~ p115(X1)
& p114(X1) ) )
| p114(X2)
| ~ p113(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p14(X1)
& ~ p114(X1)
& p113(X1) )
& ? [X1] :
( r1(X2,X1)
& p14(X1)
& ~ p114(X1)
& p113(X1) ) )
| p113(X2)
| ~ p112(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p13(X1)
& ~ p113(X1)
& p112(X1) )
& ? [X1] :
( r1(X2,X1)
& p13(X1)
& ~ p113(X1)
& p112(X1) ) )
| p112(X2)
| ~ p111(X2) )
& ( ( ? [X1] :
( r1(X2,X1)
& ~ p12(X1)
& ~ p112(X1)
& p111(X1) )
& ? [X1] :
( r1(X2,X1)
& p12(X1)
& ~ p112(X1)
& p111(X1) ) )
| p111(X2)
| ~ p110(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)
| ~ p21(X1)
| ~ p120(X1) )
| p21(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p21(X1)
| ~ p120(X1) )
| ~ p21(X2) ) )
| ~ p120(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p20(X1)
| ~ p119(X1) )
| p20(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p20(X1)
| ~ p119(X1) )
| ~ p20(X2) ) )
| ~ p119(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p19(X1)
| ~ p118(X1) )
| p19(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p19(X1)
| ~ p118(X1) )
| ~ p19(X2) ) )
| ~ p118(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p18(X1)
| ~ p117(X1) )
| p18(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p18(X1)
| ~ p117(X1) )
| ~ p18(X2) ) )
| ~ p117(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p17(X1)
| ~ p116(X1) )
| p17(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p17(X1)
| ~ p116(X1) )
| ~ p17(X2) ) )
| ~ p116(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p16(X1)
| ~ p115(X1) )
| p16(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p16(X1)
| ~ p115(X1) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p15(X1)
| ~ p114(X1) )
| p15(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p15(X1)
| ~ p114(X1) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p14(X1)
| ~ p113(X1) )
| p14(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p14(X1)
| ~ p113(X1) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p13(X1)
| ~ p112(X1) )
| p13(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p13(X1)
| ~ p112(X1) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p12(X1)
| ~ p111(X1) )
| p12(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p12(X1)
| ~ p111(X1) )
| ~ p12(X2) ) )
| ~ p111(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) )
& ( p120(X2)
| ~ p121(X2) )
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(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)
& ~ p21(X4)
& ~ p121(X4)
& p120(X4) )
& ? [X5] :
( r1(X3,X5)
& p21(X5)
& ~ p121(X5)
& p120(X5) ) )
| p120(X3)
| ~ p119(X3) )
& ( ( ? [X6] :
( r1(X3,X6)
& ~ p20(X6)
& ~ p120(X6)
& p119(X6) )
& ? [X7] :
( r1(X3,X7)
& p20(X7)
& ~ p120(X7)
& p119(X7) ) )
| p119(X3)
| ~ p118(X3) )
& ( ( ? [X8] :
( r1(X3,X8)
& ~ p19(X8)
& ~ p119(X8)
& p118(X8) )
& ? [X9] :
( r1(X3,X9)
& p19(X9)
& ~ p119(X9)
& p118(X9) ) )
| p118(X3)
| ~ p117(X3) )
& ( ( ? [X10] :
( r1(X3,X10)
& ~ p18(X10)
& ~ p118(X10)
& p117(X10) )
& ? [X11] :
( r1(X3,X11)
& p18(X11)
& ~ p118(X11)
& p117(X11) ) )
| p117(X3)
| ~ p116(X3) )
& ( ( ? [X12] :
( r1(X3,X12)
& ~ p17(X12)
& ~ p117(X12)
& p116(X12) )
& ? [X13] :
( r1(X3,X13)
& p17(X13)
& ~ p117(X13)
& p116(X13) ) )
| p116(X3)
| ~ p115(X3) )
& ( ( ? [X14] :
( r1(X3,X14)
& ~ p16(X14)
& ~ p116(X14)
& p115(X14) )
& ? [X15] :
( r1(X3,X15)
& p16(X15)
& ~ p116(X15)
& p115(X15) ) )
| p115(X3)
| ~ p114(X3) )
& ( ( ? [X16] :
( r1(X3,X16)
& ~ p15(X16)
& ~ p115(X16)
& p114(X16) )
& ? [X17] :
( r1(X3,X17)
& p15(X17)
& ~ p115(X17)
& p114(X17) ) )
| p114(X3)
| ~ p113(X3) )
& ( ( ? [X18] :
( r1(X3,X18)
& ~ p14(X18)
& ~ p114(X18)
& p113(X18) )
& ? [X19] :
( r1(X3,X19)
& p14(X19)
& ~ p114(X19)
& p113(X19) ) )
| p113(X3)
| ~ p112(X3) )
& ( ( ? [X20] :
( r1(X3,X20)
& ~ p13(X20)
& ~ p113(X20)
& p112(X20) )
& ? [X21] :
( r1(X3,X21)
& p13(X21)
& ~ p113(X21)
& p112(X21) ) )
| p112(X3)
| ~ p111(X3) )
& ( ( ? [X22] :
( r1(X3,X22)
& ~ p12(X22)
& ~ p112(X22)
& p111(X22) )
& ? [X23] :
( r1(X3,X23)
& p12(X23)
& ~ p112(X23)
& p111(X23) ) )
| p111(X3)
| ~ p110(X3) )
& ( ( ? [X24] :
( r1(X3,X24)
& ~ p11(X24)
& ~ p111(X24)
& p110(X24) )
& ? [X25] :
( r1(X3,X25)
& p11(X25)
& ~ p111(X25)
& p110(X25) ) )
| p110(X3)
| ~ p109(X3) )
& ( ( ? [X26] :
( r1(X3,X26)
& ~ p10(X26)
& ~ p110(X26)
& p109(X26) )
& ? [X27] :
( r1(X3,X27)
& p10(X27)
& ~ p110(X27)
& p109(X27) ) )
| p109(X3)
| ~ p108(X3) )
& ( ( ? [X28] :
( r1(X3,X28)
& ~ p9(X28)
& ~ p109(X28)
& p108(X28) )
& ? [X29] :
( r1(X3,X29)
& p9(X29)
& ~ p109(X29)
& p108(X29) ) )
| p108(X3)
| ~ p107(X3) )
& ( ( ? [X30] :
( r1(X3,X30)
& ~ p8(X30)
& ~ p108(X30)
& p107(X30) )
& ? [X31] :
( r1(X3,X31)
& p8(X31)
& ~ p108(X31)
& p107(X31) ) )
| p107(X3)
| ~ p106(X3) )
& ( ( ? [X32] :
( r1(X3,X32)
& ~ p7(X32)
& ~ p107(X32)
& p106(X32) )
& ? [X33] :
( r1(X3,X33)
& p7(X33)
& ~ p107(X33)
& p106(X33) ) )
| p106(X3)
| ~ p105(X3) )
& ( ( ? [X34] :
( r1(X3,X34)
& ~ p6(X34)
& ~ p106(X34)
& p105(X34) )
& ? [X35] :
( r1(X3,X35)
& p6(X35)
& ~ p106(X35)
& p105(X35) ) )
| p105(X3)
| ~ p104(X3) )
& ( ( ? [X36] :
( r1(X3,X36)
& ~ p5(X36)
& ~ p105(X36)
& p104(X36) )
& ? [X37] :
( r1(X3,X37)
& p5(X37)
& ~ p105(X37)
& p104(X37) ) )
| p104(X3)
| ~ p103(X3) )
& ( ( ? [X38] :
( r1(X3,X38)
& ~ p4(X38)
& ~ p104(X38)
& p103(X38) )
& ? [X39] :
( r1(X3,X39)
& p4(X39)
& ~ p104(X39)
& p103(X39) ) )
| p103(X3)
| ~ p102(X3) )
& ( ( ? [X40] :
( r1(X3,X40)
& ~ p3(X40)
& ~ p103(X40)
& p102(X40) )
& ? [X41] :
( r1(X3,X41)
& p3(X41)
& ~ p103(X41)
& p102(X41) ) )
| p102(X3)
| ~ p101(X3) )
& ( ( ? [X42] :
( r1(X3,X42)
& ~ p2(X42)
& ~ p102(X42)
& p101(X42) )
& ? [X43] :
( r1(X3,X43)
& p2(X43)
& ~ p102(X43)
& p101(X43) ) )
| p101(X3)
| ~ p100(X3) )
& ( ( ( ! [X44] :
( ~ r1(X3,X44)
| ~ p21(X44)
| ~ p120(X44) )
| p21(X3) )
& ( ! [X45] :
( ~ r1(X3,X45)
| p21(X45)
| ~ p120(X45) )
| ~ p21(X3) ) )
| ~ p120(X3) )
& ( ( ( ! [X46] :
( ~ r1(X3,X46)
| ~ p20(X46)
| ~ p119(X46) )
| p20(X3) )
& ( ! [X47] :
( ~ r1(X3,X47)
| p20(X47)
| ~ p119(X47) )
| ~ p20(X3) ) )
| ~ p119(X3) )
& ( ( ( ! [X48] :
( ~ r1(X3,X48)
| ~ p19(X48)
| ~ p118(X48) )
| p19(X3) )
& ( ! [X49] :
( ~ r1(X3,X49)
| p19(X49)
| ~ p118(X49) )
| ~ p19(X3) ) )
| ~ p118(X3) )
& ( ( ( ! [X50] :
( ~ r1(X3,X50)
| ~ p18(X50)
| ~ p117(X50) )
| p18(X3) )
& ( ! [X51] :
( ~ r1(X3,X51)
| p18(X51)
| ~ p117(X51) )
| ~ p18(X3) ) )
| ~ p117(X3) )
& ( ( ( ! [X52] :
( ~ r1(X3,X52)
| ~ p17(X52)
| ~ p116(X52) )
| p17(X3) )
& ( ! [X53] :
( ~ r1(X3,X53)
| p17(X53)
| ~ p116(X53) )
| ~ p17(X3) ) )
| ~ p116(X3) )
& ( ( ( ! [X54] :
( ~ r1(X3,X54)
| ~ p16(X54)
| ~ p115(X54) )
| p16(X3) )
& ( ! [X55] :
( ~ r1(X3,X55)
| p16(X55)
| ~ p115(X55) )
| ~ p16(X3) ) )
| ~ p115(X3) )
& ( ( ( ! [X56] :
( ~ r1(X3,X56)
| ~ p15(X56)
| ~ p114(X56) )
| p15(X3) )
& ( ! [X57] :
( ~ r1(X3,X57)
| p15(X57)
| ~ p114(X57) )
| ~ p15(X3) ) )
| ~ p114(X3) )
& ( ( ( ! [X58] :
( ~ r1(X3,X58)
| ~ p14(X58)
| ~ p113(X58) )
| p14(X3) )
& ( ! [X59] :
( ~ r1(X3,X59)
| p14(X59)
| ~ p113(X59) )
| ~ p14(X3) ) )
| ~ p113(X3) )
& ( ( ( ! [X60] :
( ~ r1(X3,X60)
| ~ p13(X60)
| ~ p112(X60) )
| p13(X3) )
& ( ! [X61] :
( ~ r1(X3,X61)
| p13(X61)
| ~ p112(X61) )
| ~ p13(X3) ) )
| ~ p112(X3) )
& ( ( ( ! [X62] :
( ~ r1(X3,X62)
| ~ p12(X62)
| ~ p111(X62) )
| p12(X3) )
& ( ! [X63] :
( ~ r1(X3,X63)
| p12(X63)
| ~ p111(X63) )
| ~ p12(X3) ) )
| ~ p111(X3) )
& ( ( ( ! [X64] :
( ~ r1(X3,X64)
| ~ p11(X64)
| ~ p110(X64) )
| p11(X3) )
& ( ! [X65] :
( ~ r1(X3,X65)
| p11(X65)
| ~ p110(X65) )
| ~ p11(X3) ) )
| ~ p110(X3) )
& ( ( ( ! [X66] :
( ~ r1(X3,X66)
| ~ p10(X66)
| ~ p109(X66) )
| p10(X3) )
& ( ! [X67] :
( ~ r1(X3,X67)
| p10(X67)
| ~ p109(X67) )
| ~ p10(X3) ) )
| ~ p109(X3) )
& ( ( ( ! [X68] :
( ~ r1(X3,X68)
| ~ p9(X68)
| ~ p108(X68) )
| p9(X3) )
& ( ! [X69] :
( ~ r1(X3,X69)
| p9(X69)
| ~ p108(X69) )
| ~ p9(X3) ) )
| ~ p108(X3) )
& ( ( ( ! [X70] :
( ~ r1(X3,X70)
| ~ p8(X70)
| ~ p107(X70) )
| p8(X3) )
& ( ! [X71] :
( ~ r1(X3,X71)
| p8(X71)
| ~ p107(X71) )
| ~ p8(X3) ) )
| ~ p107(X3) )
& ( ( ( ! [X72] :
( ~ r1(X3,X72)
| ~ p7(X72)
| ~ p106(X72) )
| p7(X3) )
& ( ! [X73] :
( ~ r1(X3,X73)
| p7(X73)
| ~ p106(X73) )
| ~ p7(X3) ) )
| ~ p106(X3) )
& ( ( ( ! [X74] :
( ~ r1(X3,X74)
| ~ p6(X74)
| ~ p105(X74) )
| p6(X3) )
& ( ! [X75] :
( ~ r1(X3,X75)
| p6(X75)
| ~ p105(X75) )
| ~ p6(X3) ) )
| ~ p105(X3) )
& ( ( ( ! [X76] :
( ~ r1(X3,X76)
| ~ p5(X76)
| ~ p104(X76) )
| p5(X3) )
& ( ! [X77] :
( ~ r1(X3,X77)
| p5(X77)
| ~ p104(X77) )
| ~ p5(X3) ) )
| ~ p104(X3) )
& ( ( ( ! [X78] :
( ~ r1(X3,X78)
| ~ p4(X78)
| ~ p103(X78) )
| p4(X3) )
& ( ! [X79] :
( ~ r1(X3,X79)
| p4(X79)
| ~ p103(X79) )
| ~ p4(X3) ) )
| ~ p103(X3) )
& ( ( ( ! [X80] :
( ~ r1(X3,X80)
| ~ p3(X80)
| ~ p102(X80) )
| p3(X3) )
& ( ! [X81] :
( ~ r1(X3,X81)
| p3(X81)
| ~ p102(X81) )
| ~ p3(X3) ) )
| ~ p102(X3) )
& ( ( ( ! [X82] :
( ~ r1(X3,X82)
| ~ p2(X82)
| ~ p101(X82) )
| p2(X3) )
& ( ! [X83] :
( ~ r1(X3,X83)
| p2(X83)
| ~ p101(X83) )
| ~ p2(X3) ) )
| ~ p101(X3) )
& ( ( ( ! [X84] :
( ~ r1(X3,X84)
| ~ p1(X84)
| ~ p100(X84) )
| p1(X3) )
& ( ! [X85] :
( ~ r1(X3,X85)
| p1(X85)
| ~ p100(X85) )
| ~ p1(X3) ) )
| ~ p100(X3) )
& ( p120(X3)
| ~ p121(X3) )
& ( p119(X3)
| ~ p120(X3) )
& ( p118(X3)
| ~ p119(X3) )
& ( p117(X3)
| ~ p118(X3) )
& ( p116(X3)
| ~ p117(X3) )
& ( p115(X3)
| ~ p116(X3) )
& ( p114(X3)
| ~ p115(X3) )
& ( p113(X3)
| ~ p114(X3) )
& ( p112(X3)
| ~ p113(X3) )
& ( p111(X3)
| ~ p112(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))
& ~ p21(esk2_1(X3))
& ~ p121(esk2_1(X3))
& p120(esk2_1(X3))
& r1(X3,esk3_1(X3))
& p21(esk3_1(X3))
& ~ p121(esk3_1(X3))
& p120(esk3_1(X3)) )
| p120(X3)
| ~ p119(X3) )
& ( ( r1(X3,esk4_1(X3))
& ~ p20(esk4_1(X3))
& ~ p120(esk4_1(X3))
& p119(esk4_1(X3))
& r1(X3,esk5_1(X3))
& p20(esk5_1(X3))
& ~ p120(esk5_1(X3))
& p119(esk5_1(X3)) )
| p119(X3)
| ~ p118(X3) )
& ( ( r1(X3,esk6_1(X3))
& ~ p19(esk6_1(X3))
& ~ p119(esk6_1(X3))
& p118(esk6_1(X3))
& r1(X3,esk7_1(X3))
& p19(esk7_1(X3))
& ~ p119(esk7_1(X3))
& p118(esk7_1(X3)) )
| p118(X3)
| ~ p117(X3) )
& ( ( r1(X3,esk8_1(X3))
& ~ p18(esk8_1(X3))
& ~ p118(esk8_1(X3))
& p117(esk8_1(X3))
& r1(X3,esk9_1(X3))
& p18(esk9_1(X3))
& ~ p118(esk9_1(X3))
& p117(esk9_1(X3)) )
| p117(X3)
| ~ p116(X3) )
& ( ( r1(X3,esk10_1(X3))
& ~ p17(esk10_1(X3))
& ~ p117(esk10_1(X3))
& p116(esk10_1(X3))
& r1(X3,esk11_1(X3))
& p17(esk11_1(X3))
& ~ p117(esk11_1(X3))
& p116(esk11_1(X3)) )
| p116(X3)
| ~ p115(X3) )
& ( ( r1(X3,esk12_1(X3))
& ~ p16(esk12_1(X3))
& ~ p116(esk12_1(X3))
& p115(esk12_1(X3))
& r1(X3,esk13_1(X3))
& p16(esk13_1(X3))
& ~ p116(esk13_1(X3))
& p115(esk13_1(X3)) )
| p115(X3)
| ~ p114(X3) )
& ( ( r1(X3,esk14_1(X3))
& ~ p15(esk14_1(X3))
& ~ p115(esk14_1(X3))
& p114(esk14_1(X3))
& r1(X3,esk15_1(X3))
& p15(esk15_1(X3))
& ~ p115(esk15_1(X3))
& p114(esk15_1(X3)) )
| p114(X3)
| ~ p113(X3) )
& ( ( r1(X3,esk16_1(X3))
& ~ p14(esk16_1(X3))
& ~ p114(esk16_1(X3))
& p113(esk16_1(X3))
& r1(X3,esk17_1(X3))
& p14(esk17_1(X3))
& ~ p114(esk17_1(X3))
& p113(esk17_1(X3)) )
| p113(X3)
| ~ p112(X3) )
& ( ( r1(X3,esk18_1(X3))
& ~ p13(esk18_1(X3))
& ~ p113(esk18_1(X3))
& p112(esk18_1(X3))
& r1(X3,esk19_1(X3))
& p13(esk19_1(X3))
& ~ p113(esk19_1(X3))
& p112(esk19_1(X3)) )
| p112(X3)
| ~ p111(X3) )
& ( ( r1(X3,esk20_1(X3))
& ~ p12(esk20_1(X3))
& ~ p112(esk20_1(X3))
& p111(esk20_1(X3))
& r1(X3,esk21_1(X3))
& p12(esk21_1(X3))
& ~ p112(esk21_1(X3))
& p111(esk21_1(X3)) )
| p111(X3)
| ~ p110(X3) )
& ( ( r1(X3,esk22_1(X3))
& ~ p11(esk22_1(X3))
& ~ p111(esk22_1(X3))
& p110(esk22_1(X3))
& r1(X3,esk23_1(X3))
& p11(esk23_1(X3))
& ~ p111(esk23_1(X3))
& p110(esk23_1(X3)) )
| p110(X3)
| ~ p109(X3) )
& ( ( r1(X3,esk24_1(X3))
& ~ p10(esk24_1(X3))
& ~ p110(esk24_1(X3))
& p109(esk24_1(X3))
& r1(X3,esk25_1(X3))
& p10(esk25_1(X3))
& ~ p110(esk25_1(X3))
& p109(esk25_1(X3)) )
| p109(X3)
| ~ p108(X3) )
& ( ( r1(X3,esk26_1(X3))
& ~ p9(esk26_1(X3))
& ~ p109(esk26_1(X3))
& p108(esk26_1(X3))
& r1(X3,esk27_1(X3))
& p9(esk27_1(X3))
& ~ p109(esk27_1(X3))
& p108(esk27_1(X3)) )
| p108(X3)
| ~ p107(X3) )
& ( ( r1(X3,esk28_1(X3))
& ~ p8(esk28_1(X3))
& ~ p108(esk28_1(X3))
& p107(esk28_1(X3))
& r1(X3,esk29_1(X3))
& p8(esk29_1(X3))
& ~ p108(esk29_1(X3))
& p107(esk29_1(X3)) )
| p107(X3)
| ~ p106(X3) )
& ( ( r1(X3,esk30_1(X3))
& ~ p7(esk30_1(X3))
& ~ p107(esk30_1(X3))
& p106(esk30_1(X3))
& r1(X3,esk31_1(X3))
& p7(esk31_1(X3))
& ~ p107(esk31_1(X3))
& p106(esk31_1(X3)) )
| p106(X3)
| ~ p105(X3) )
& ( ( r1(X3,esk32_1(X3))
& ~ p6(esk32_1(X3))
& ~ p106(esk32_1(X3))
& p105(esk32_1(X3))
& r1(X3,esk33_1(X3))
& p6(esk33_1(X3))
& ~ p106(esk33_1(X3))
& p105(esk33_1(X3)) )
| p105(X3)
| ~ p104(X3) )
& ( ( r1(X3,esk34_1(X3))
& ~ p5(esk34_1(X3))
& ~ p105(esk34_1(X3))
& p104(esk34_1(X3))
& r1(X3,esk35_1(X3))
& p5(esk35_1(X3))
& ~ p105(esk35_1(X3))
& p104(esk35_1(X3)) )
| p104(X3)
| ~ p103(X3) )
& ( ( r1(X3,esk36_1(X3))
& ~ p4(esk36_1(X3))
& ~ p104(esk36_1(X3))
& p103(esk36_1(X3))
& r1(X3,esk37_1(X3))
& p4(esk37_1(X3))
& ~ p104(esk37_1(X3))
& p103(esk37_1(X3)) )
| p103(X3)
| ~ p102(X3) )
& ( ( r1(X3,esk38_1(X3))
& ~ p3(esk38_1(X3))
& ~ p103(esk38_1(X3))
& p102(esk38_1(X3))
& r1(X3,esk39_1(X3))
& p3(esk39_1(X3))
& ~ p103(esk39_1(X3))
& p102(esk39_1(X3)) )
| p102(X3)
| ~ p101(X3) )
& ( ( r1(X3,esk40_1(X3))
& ~ p2(esk40_1(X3))
& ~ p102(esk40_1(X3))
& p101(esk40_1(X3))
& r1(X3,esk41_1(X3))
& p2(esk41_1(X3))
& ~ p102(esk41_1(X3))
& p101(esk41_1(X3)) )
| p101(X3)
| ~ p100(X3) )
& ( ( ( ! [X44] :
( ~ r1(X3,X44)
| ~ p21(X44)
| ~ p120(X44) )
| p21(X3) )
& ( ! [X45] :
( ~ r1(X3,X45)
| p21(X45)
| ~ p120(X45) )
| ~ p21(X3) ) )
| ~ p120(X3) )
& ( ( ( ! [X46] :
( ~ r1(X3,X46)
| ~ p20(X46)
| ~ p119(X46) )
| p20(X3) )
& ( ! [X47] :
( ~ r1(X3,X47)
| p20(X47)
| ~ p119(X47) )
| ~ p20(X3) ) )
| ~ p119(X3) )
& ( ( ( ! [X48] :
( ~ r1(X3,X48)
| ~ p19(X48)
| ~ p118(X48) )
| p19(X3) )
& ( ! [X49] :
( ~ r1(X3,X49)
| p19(X49)
| ~ p118(X49) )
| ~ p19(X3) ) )
| ~ p118(X3) )
& ( ( ( ! [X50] :
( ~ r1(X3,X50)
| ~ p18(X50)
| ~ p117(X50) )
| p18(X3) )
& ( ! [X51] :
( ~ r1(X3,X51)
| p18(X51)
| ~ p117(X51) )
| ~ p18(X3) ) )
| ~ p117(X3) )
& ( ( ( ! [X52] :
( ~ r1(X3,X52)
| ~ p17(X52)
| ~ p116(X52) )
| p17(X3) )
& ( ! [X53] :
( ~ r1(X3,X53)
| p17(X53)
| ~ p116(X53) )
| ~ p17(X3) ) )
| ~ p116(X3) )
& ( ( ( ! [X54] :
( ~ r1(X3,X54)
| ~ p16(X54)
| ~ p115(X54) )
| p16(X3) )
& ( ! [X55] :
( ~ r1(X3,X55)
| p16(X55)
| ~ p115(X55) )
| ~ p16(X3) ) )
| ~ p115(X3) )
& ( ( ( ! [X56] :
( ~ r1(X3,X56)
| ~ p15(X56)
| ~ p114(X56) )
| p15(X3) )
& ( ! [X57] :
( ~ r1(X3,X57)
| p15(X57)
| ~ p114(X57) )
| ~ p15(X3) ) )
| ~ p114(X3) )
& ( ( ( ! [X58] :
( ~ r1(X3,X58)
| ~ p14(X58)
| ~ p113(X58) )
| p14(X3) )
& ( ! [X59] :
( ~ r1(X3,X59)
| p14(X59)
| ~ p113(X59) )
| ~ p14(X3) ) )
| ~ p113(X3) )
& ( ( ( ! [X60] :
( ~ r1(X3,X60)
| ~ p13(X60)
| ~ p112(X60) )
| p13(X3) )
& ( ! [X61] :
( ~ r1(X3,X61)
| p13(X61)
| ~ p112(X61) )
| ~ p13(X3) ) )
| ~ p112(X3) )
& ( ( ( ! [X62] :
( ~ r1(X3,X62)
| ~ p12(X62)
| ~ p111(X62) )
| p12(X3) )
& ( ! [X63] :
( ~ r1(X3,X63)
| p12(X63)
| ~ p111(X63) )
| ~ p12(X3) ) )
| ~ p111(X3) )
& ( ( ( ! [X64] :
( ~ r1(X3,X64)
| ~ p11(X64)
| ~ p110(X64) )
| p11(X3) )
& ( ! [X65] :
( ~ r1(X3,X65)
| p11(X65)
| ~ p110(X65) )
| ~ p11(X3) ) )
| ~ p110(X3) )
& ( ( ( ! [X66] :
( ~ r1(X3,X66)
| ~ p10(X66)
| ~ p109(X66) )
| p10(X3) )
& ( ! [X67] :
( ~ r1(X3,X67)
| p10(X67)
| ~ p109(X67) )
| ~ p10(X3) ) )
| ~ p109(X3) )
& ( ( ( ! [X68] :
( ~ r1(X3,X68)
| ~ p9(X68)
| ~ p108(X68) )
| p9(X3) )
& ( ! [X69] :
( ~ r1(X3,X69)
| p9(X69)
| ~ p108(X69) )
| ~ p9(X3) ) )
| ~ p108(X3) )
& ( ( ( ! [X70] :
( ~ r1(X3,X70)
| ~ p8(X70)
| ~ p107(X70) )
| p8(X3) )
& ( ! [X71] :
( ~ r1(X3,X71)
| p8(X71)
| ~ p107(X71) )
| ~ p8(X3) ) )
| ~ p107(X3) )
& ( ( ( ! [X72] :
( ~ r1(X3,X72)
| ~ p7(X72)
| ~ p106(X72) )
| p7(X3) )
& ( ! [X73] :
( ~ r1(X3,X73)
| p7(X73)
| ~ p106(X73) )
| ~ p7(X3) ) )
| ~ p106(X3) )
& ( ( ( ! [X74] :
( ~ r1(X3,X74)
| ~ p6(X74)
| ~ p105(X74) )
| p6(X3) )
& ( ! [X75] :
( ~ r1(X3,X75)
| p6(X75)
| ~ p105(X75) )
| ~ p6(X3) ) )
| ~ p105(X3) )
& ( ( ( ! [X76] :
( ~ r1(X3,X76)
| ~ p5(X76)
| ~ p104(X76) )
| p5(X3) )
& ( ! [X77] :
( ~ r1(X3,X77)
| p5(X77)
| ~ p104(X77) )
| ~ p5(X3) ) )
| ~ p104(X3) )
& ( ( ( ! [X78] :
( ~ r1(X3,X78)
| ~ p4(X78)
| ~ p103(X78) )
| p4(X3) )
& ( ! [X79] :
( ~ r1(X3,X79)
| p4(X79)
| ~ p103(X79) )
| ~ p4(X3) ) )
| ~ p103(X3) )
& ( ( ( ! [X80] :
( ~ r1(X3,X80)
| ~ p3(X80)
| ~ p102(X80) )
| p3(X3) )
& ( ! [X81] :
( ~ r1(X3,X81)
| p3(X81)
| ~ p102(X81) )
| ~ p3(X3) ) )
| ~ p102(X3) )
& ( ( ( ! [X82] :
( ~ r1(X3,X82)
| ~ p2(X82)
| ~ p101(X82) )
| p2(X3) )
& ( ! [X83] :
( ~ r1(X3,X83)
| p2(X83)
| ~ p101(X83) )
| ~ p2(X3) ) )
| ~ p101(X3) )
& ( ( ( ! [X84] :
( ~ r1(X3,X84)
| ~ p1(X84)
| ~ p100(X84) )
| p1(X3) )
& ( ! [X85] :
( ~ r1(X3,X85)
| p1(X85)
| ~ p100(X85) )
| ~ p1(X3) ) )
| ~ p100(X3) )
& ( p120(X3)
| ~ p121(X3) )
& ( p119(X3)
| ~ p120(X3) )
& ( p118(X3)
| ~ p119(X3) )
& ( p117(X3)
| ~ p118(X3) )
& ( p116(X3)
| ~ p117(X3) )
& ( p115(X3)
| ~ p116(X3) )
& ( p114(X3)
| ~ p115(X3) )
& ( p113(X3)
| ~ p114(X3) )
& ( p112(X3)
| ~ p113(X3) )
& ( p111(X3)
| ~ p112(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,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83,X84,X85] :
( ( ( ( ( ~ r1(X3,X85)
| p1(X85)
| ~ p100(X85)
| ~ p1(X3) )
& ( ~ r1(X3,X84)
| ~ p1(X84)
| ~ p100(X84)
| p1(X3) ) )
| ~ p100(X3) )
& ( ( ( ~ r1(X3,X83)
| p2(X83)
| ~ p101(X83)
| ~ p2(X3) )
& ( ~ r1(X3,X82)
| ~ p2(X82)
| ~ p101(X82)
| p2(X3) ) )
| ~ p101(X3) )
& ( ( ( ~ r1(X3,X81)
| p3(X81)
| ~ p102(X81)
| ~ p3(X3) )
& ( ~ r1(X3,X80)
| ~ p3(X80)
| ~ p102(X80)
| p3(X3) ) )
| ~ p102(X3) )
& ( ( ( ~ r1(X3,X79)
| p4(X79)
| ~ p103(X79)
| ~ p4(X3) )
& ( ~ r1(X3,X78)
| ~ p4(X78)
| ~ p103(X78)
| p4(X3) ) )
| ~ p103(X3) )
& ( ( ( ~ r1(X3,X77)
| p5(X77)
| ~ p104(X77)
| ~ p5(X3) )
& ( ~ r1(X3,X76)
| ~ p5(X76)
| ~ p104(X76)
| p5(X3) ) )
| ~ p104(X3) )
& ( ( ( ~ r1(X3,X75)
| p6(X75)
| ~ p105(X75)
| ~ p6(X3) )
& ( ~ r1(X3,X74)
| ~ p6(X74)
| ~ p105(X74)
| p6(X3) ) )
| ~ p105(X3) )
& ( ( ( ~ r1(X3,X73)
| p7(X73)
| ~ p106(X73)
| ~ p7(X3) )
& ( ~ r1(X3,X72)
| ~ p7(X72)
| ~ p106(X72)
| p7(X3) ) )
| ~ p106(X3) )
& ( ( ( ~ r1(X3,X71)
| p8(X71)
| ~ p107(X71)
| ~ p8(X3) )
& ( ~ r1(X3,X70)
| ~ p8(X70)
| ~ p107(X70)
| p8(X3) ) )
| ~ p107(X3) )
& ( ( ( ~ r1(X3,X69)
| p9(X69)
| ~ p108(X69)
| ~ p9(X3) )
& ( ~ r1(X3,X68)
| ~ p9(X68)
| ~ p108(X68)
| p9(X3) ) )
| ~ p108(X3) )
& ( ( ( ~ r1(X3,X67)
| p10(X67)
| ~ p109(X67)
| ~ p10(X3) )
& ( ~ r1(X3,X66)
| ~ p10(X66)
| ~ p109(X66)
| p10(X3) ) )
| ~ p109(X3) )
& ( ( ( ~ r1(X3,X65)
| p11(X65)
| ~ p110(X65)
| ~ p11(X3) )
& ( ~ r1(X3,X64)
| ~ p11(X64)
| ~ p110(X64)
| p11(X3) ) )
| ~ p110(X3) )
& ( ( ( ~ r1(X3,X63)
| p12(X63)
| ~ p111(X63)
| ~ p12(X3) )
& ( ~ r1(X3,X62)
| ~ p12(X62)
| ~ p111(X62)
| p12(X3) ) )
| ~ p111(X3) )
& ( ( ( ~ r1(X3,X61)
| p13(X61)
| ~ p112(X61)
| ~ p13(X3) )
& ( ~ r1(X3,X60)
| ~ p13(X60)
| ~ p112(X60)
| p13(X3) ) )
| ~ p112(X3) )
& ( ( ( ~ r1(X3,X59)
| p14(X59)
| ~ p113(X59)
| ~ p14(X3) )
& ( ~ r1(X3,X58)
| ~ p14(X58)
| ~ p113(X58)
| p14(X3) ) )
| ~ p113(X3) )
& ( ( ( ~ r1(X3,X57)
| p15(X57)
| ~ p114(X57)
| ~ p15(X3) )
& ( ~ r1(X3,X56)
| ~ p15(X56)
| ~ p114(X56)
| p15(X3) ) )
| ~ p114(X3) )
& ( ( ( ~ r1(X3,X55)
| p16(X55)
| ~ p115(X55)
| ~ p16(X3) )
& ( ~ r1(X3,X54)
| ~ p16(X54)
| ~ p115(X54)
| p16(X3) ) )
| ~ p115(X3) )
& ( ( ( ~ r1(X3,X53)
| p17(X53)
| ~ p116(X53)
| ~ p17(X3) )
& ( ~ r1(X3,X52)
| ~ p17(X52)
| ~ p116(X52)
| p17(X3) ) )
| ~ p116(X3) )
& ( ( ( ~ r1(X3,X51)
| p18(X51)
| ~ p117(X51)
| ~ p18(X3) )
& ( ~ r1(X3,X50)
| ~ p18(X50)
| ~ p117(X50)
| p18(X3) ) )
| ~ p117(X3) )
& ( ( ( ~ r1(X3,X49)
| p19(X49)
| ~ p118(X49)
| ~ p19(X3) )
& ( ~ r1(X3,X48)
| ~ p19(X48)
| ~ p118(X48)
| p19(X3) ) )
| ~ p118(X3) )
& ( ( ( ~ r1(X3,X47)
| p20(X47)
| ~ p119(X47)
| ~ p20(X3) )
& ( ~ r1(X3,X46)
| ~ p20(X46)
| ~ p119(X46)
| p20(X3) ) )
| ~ p119(X3) )
& ( ( ( ~ r1(X3,X45)
| p21(X45)
| ~ p120(X45)
| ~ p21(X3) )
& ( ~ r1(X3,X44)
| ~ p21(X44)
| ~ p120(X44)
| p21(X3) ) )
| ~ p120(X3) )
& ( ( r1(X3,esk2_1(X3))
& ~ p21(esk2_1(X3))
& ~ p121(esk2_1(X3))
& p120(esk2_1(X3))
& r1(X3,esk3_1(X3))
& p21(esk3_1(X3))
& ~ p121(esk3_1(X3))
& p120(esk3_1(X3)) )
| p120(X3)
| ~ p119(X3) )
& ( ( r1(X3,esk4_1(X3))
& ~ p20(esk4_1(X3))
& ~ p120(esk4_1(X3))
& p119(esk4_1(X3))
& r1(X3,esk5_1(X3))
& p20(esk5_1(X3))
& ~ p120(esk5_1(X3))
& p119(esk5_1(X3)) )
| p119(X3)
| ~ p118(X3) )
& ( ( r1(X3,esk6_1(X3))
& ~ p19(esk6_1(X3))
& ~ p119(esk6_1(X3))
& p118(esk6_1(X3))
& r1(X3,esk7_1(X3))
& p19(esk7_1(X3))
& ~ p119(esk7_1(X3))
& p118(esk7_1(X3)) )
| p118(X3)
| ~ p117(X3) )
& ( ( r1(X3,esk8_1(X3))
& ~ p18(esk8_1(X3))
& ~ p118(esk8_1(X3))
& p117(esk8_1(X3))
& r1(X3,esk9_1(X3))
& p18(esk9_1(X3))
& ~ p118(esk9_1(X3))
& p117(esk9_1(X3)) )
| p117(X3)
| ~ p116(X3) )
& ( ( r1(X3,esk10_1(X3))
& ~ p17(esk10_1(X3))
& ~ p117(esk10_1(X3))
& p116(esk10_1(X3))
& r1(X3,esk11_1(X3))
& p17(esk11_1(X3))
& ~ p117(esk11_1(X3))
& p116(esk11_1(X3)) )
| p116(X3)
| ~ p115(X3) )
& ( ( r1(X3,esk12_1(X3))
& ~ p16(esk12_1(X3))
& ~ p116(esk12_1(X3))
& p115(esk12_1(X3))
& r1(X3,esk13_1(X3))
& p16(esk13_1(X3))
& ~ p116(esk13_1(X3))
& p115(esk13_1(X3)) )
| p115(X3)
| ~ p114(X3) )
& ( ( r1(X3,esk14_1(X3))
& ~ p15(esk14_1(X3))
& ~ p115(esk14_1(X3))
& p114(esk14_1(X3))
& r1(X3,esk15_1(X3))
& p15(esk15_1(X3))
& ~ p115(esk15_1(X3))
& p114(esk15_1(X3)) )
| p114(X3)
| ~ p113(X3) )
& ( ( r1(X3,esk16_1(X3))
& ~ p14(esk16_1(X3))
& ~ p114(esk16_1(X3))
& p113(esk16_1(X3))
& r1(X3,esk17_1(X3))
& p14(esk17_1(X3))
& ~ p114(esk17_1(X3))
& p113(esk17_1(X3)) )
| p113(X3)
| ~ p112(X3) )
& ( ( r1(X3,esk18_1(X3))
& ~ p13(esk18_1(X3))
& ~ p113(esk18_1(X3))
& p112(esk18_1(X3))
& r1(X3,esk19_1(X3))
& p13(esk19_1(X3))
& ~ p113(esk19_1(X3))
& p112(esk19_1(X3)) )
| p112(X3)
| ~ p111(X3) )
& ( ( r1(X3,esk20_1(X3))
& ~ p12(esk20_1(X3))
& ~ p112(esk20_1(X3))
& p111(esk20_1(X3))
& r1(X3,esk21_1(X3))
& p12(esk21_1(X3))
& ~ p112(esk21_1(X3))
& p111(esk21_1(X3)) )
| p111(X3)
| ~ p110(X3) )
& ( ( r1(X3,esk22_1(X3))
& ~ p11(esk22_1(X3))
& ~ p111(esk22_1(X3))
& p110(esk22_1(X3))
& r1(X3,esk23_1(X3))
& p11(esk23_1(X3))
& ~ p111(esk23_1(X3))
& p110(esk23_1(X3)) )
| p110(X3)
| ~ p109(X3) )
& ( ( r1(X3,esk24_1(X3))
& ~ p10(esk24_1(X3))
& ~ p110(esk24_1(X3))
& p109(esk24_1(X3))
& r1(X3,esk25_1(X3))
& p10(esk25_1(X3))
& ~ p110(esk25_1(X3))
& p109(esk25_1(X3)) )
| p109(X3)
| ~ p108(X3) )
& ( ( r1(X3,esk26_1(X3))
& ~ p9(esk26_1(X3))
& ~ p109(esk26_1(X3))
& p108(esk26_1(X3))
& r1(X3,esk27_1(X3))
& p9(esk27_1(X3))
& ~ p109(esk27_1(X3))
& p108(esk27_1(X3)) )
| p108(X3)
| ~ p107(X3) )
& ( ( r1(X3,esk28_1(X3))
& ~ p8(esk28_1(X3))
& ~ p108(esk28_1(X3))
& p107(esk28_1(X3))
& r1(X3,esk29_1(X3))
& p8(esk29_1(X3))
& ~ p108(esk29_1(X3))
& p107(esk29_1(X3)) )
| p107(X3)
| ~ p106(X3) )
& ( ( r1(X3,esk30_1(X3))
& ~ p7(esk30_1(X3))
& ~ p107(esk30_1(X3))
& p106(esk30_1(X3))
& r1(X3,esk31_1(X3))
& p7(esk31_1(X3))
& ~ p107(esk31_1(X3))
& p106(esk31_1(X3)) )
| p106(X3)
| ~ p105(X3) )
& ( ( r1(X3,esk32_1(X3))
& ~ p6(esk32_1(X3))
& ~ p106(esk32_1(X3))
& p105(esk32_1(X3))
& r1(X3,esk33_1(X3))
& p6(esk33_1(X3))
& ~ p106(esk33_1(X3))
& p105(esk33_1(X3)) )
| p105(X3)
| ~ p104(X3) )
& ( ( r1(X3,esk34_1(X3))
& ~ p5(esk34_1(X3))
& ~ p105(esk34_1(X3))
& p104(esk34_1(X3))
& r1(X3,esk35_1(X3))
& p5(esk35_1(X3))
& ~ p105(esk35_1(X3))
& p104(esk35_1(X3)) )
| p104(X3)
| ~ p103(X3) )
& ( ( r1(X3,esk36_1(X3))
& ~ p4(esk36_1(X3))
& ~ p104(esk36_1(X3))
& p103(esk36_1(X3))
& r1(X3,esk37_1(X3))
& p4(esk37_1(X3))
& ~ p104(esk37_1(X3))
& p103(esk37_1(X3)) )
| p103(X3)
| ~ p102(X3) )
& ( ( r1(X3,esk38_1(X3))
& ~ p3(esk38_1(X3))
& ~ p103(esk38_1(X3))
& p102(esk38_1(X3))
& r1(X3,esk39_1(X3))
& p3(esk39_1(X3))
& ~ p103(esk39_1(X3))
& p102(esk39_1(X3)) )
| p102(X3)
| ~ p101(X3) )
& ( ( r1(X3,esk40_1(X3))
& ~ p2(esk40_1(X3))
& ~ p102(esk40_1(X3))
& p101(esk40_1(X3))
& r1(X3,esk41_1(X3))
& p2(esk41_1(X3))
& ~ p102(esk41_1(X3))
& p101(esk41_1(X3)) )
| p101(X3)
| ~ p100(X3) )
& ( p120(X3)
| ~ p121(X3) )
& ( p119(X3)
| ~ p120(X3) )
& ( p118(X3)
| ~ p119(X3) )
& ( p117(X3)
| ~ p118(X3) )
& ( p116(X3)
| ~ p117(X3) )
& ( p115(X3)
| ~ p116(X3) )
& ( p114(X3)
| ~ p115(X3) )
& ( p113(X3)
| ~ p114(X3) )
& ( p112(X3)
| ~ p113(X3) )
& ( p111(X3)
| ~ p112(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,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83,X84,X85] :
( ( ~ r1(X3,X85)
| p1(X85)
| ~ p100(X85)
| ~ p1(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X84)
| ~ p1(X84)
| ~ p100(X84)
| p1(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X83)
| p2(X83)
| ~ p101(X83)
| ~ p2(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X82)
| ~ p2(X82)
| ~ p101(X82)
| p2(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X81)
| p3(X81)
| ~ p102(X81)
| ~ p3(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X80)
| ~ p3(X80)
| ~ p102(X80)
| p3(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X79)
| p4(X79)
| ~ p103(X79)
| ~ p4(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X78)
| ~ p4(X78)
| ~ p103(X78)
| p4(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X77)
| p5(X77)
| ~ p104(X77)
| ~ p5(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X76)
| ~ p5(X76)
| ~ p104(X76)
| p5(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X75)
| p6(X75)
| ~ p105(X75)
| ~ p6(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X74)
| ~ p6(X74)
| ~ p105(X74)
| p6(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X73)
| p7(X73)
| ~ p106(X73)
| ~ p7(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X72)
| ~ p7(X72)
| ~ p106(X72)
| p7(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X71)
| p8(X71)
| ~ p107(X71)
| ~ p8(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X70)
| ~ p8(X70)
| ~ p107(X70)
| p8(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X69)
| p9(X69)
| ~ p108(X69)
| ~ p9(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X68)
| ~ p9(X68)
| ~ p108(X68)
| p9(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X67)
| p10(X67)
| ~ p109(X67)
| ~ p10(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X66)
| ~ p10(X66)
| ~ p109(X66)
| p10(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X65)
| p11(X65)
| ~ p110(X65)
| ~ p11(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X64)
| ~ p11(X64)
| ~ p110(X64)
| p11(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X63)
| p12(X63)
| ~ p111(X63)
| ~ p12(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X62)
| ~ p12(X62)
| ~ p111(X62)
| p12(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X61)
| p13(X61)
| ~ p112(X61)
| ~ p13(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X60)
| ~ p13(X60)
| ~ p112(X60)
| p13(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X59)
| p14(X59)
| ~ p113(X59)
| ~ p14(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X58)
| ~ p14(X58)
| ~ p113(X58)
| p14(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X57)
| p15(X57)
| ~ p114(X57)
| ~ p15(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X56)
| ~ p15(X56)
| ~ p114(X56)
| p15(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X55)
| p16(X55)
| ~ p115(X55)
| ~ p16(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X54)
| ~ p16(X54)
| ~ p115(X54)
| p16(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X53)
| p17(X53)
| ~ p116(X53)
| ~ p17(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X52)
| ~ p17(X52)
| ~ p116(X52)
| p17(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X51)
| p18(X51)
| ~ p117(X51)
| ~ p18(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X50)
| ~ p18(X50)
| ~ p117(X50)
| p18(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X49)
| p19(X49)
| ~ p118(X49)
| ~ p19(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X48)
| ~ p19(X48)
| ~ p118(X48)
| p19(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X47)
| p20(X47)
| ~ p119(X47)
| ~ p20(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X46)
| ~ p20(X46)
| ~ p119(X46)
| p20(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X45)
| p21(X45)
| ~ p120(X45)
| ~ p21(X3)
| ~ p120(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X44)
| ~ p21(X44)
| ~ p120(X44)
| p21(X3)
| ~ p120(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk2_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( ~ p21(esk2_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( ~ p121(esk2_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( p120(esk2_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk3_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( p21(esk3_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( ~ p121(esk3_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( p120(esk3_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk4_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( ~ p20(esk4_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( ~ p120(esk4_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( p119(esk4_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk5_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( p20(esk5_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( ~ p120(esk5_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( p119(esk5_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk6_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( ~ p19(esk6_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( ~ p119(esk6_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( p118(esk6_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk7_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( p19(esk7_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( ~ p119(esk7_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( p118(esk7_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk8_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( ~ p18(esk8_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( ~ p118(esk8_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( p117(esk8_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk9_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( p18(esk9_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( ~ p118(esk9_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( p117(esk9_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk10_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( ~ p17(esk10_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( ~ p117(esk10_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( p116(esk10_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk11_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( p17(esk11_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( ~ p117(esk11_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( p116(esk11_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk12_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( ~ p16(esk12_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( ~ p116(esk12_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( p115(esk12_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk13_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( p16(esk13_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( ~ p116(esk13_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( p115(esk13_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk14_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( ~ p15(esk14_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( ~ p115(esk14_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( p114(esk14_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk15_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( p15(esk15_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( ~ p115(esk15_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( p114(esk15_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk16_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( ~ p14(esk16_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( ~ p114(esk16_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( p113(esk16_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk17_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( p14(esk17_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( ~ p114(esk17_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( p113(esk17_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk18_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( ~ p13(esk18_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( ~ p113(esk18_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( p112(esk18_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk19_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( p13(esk19_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( ~ p113(esk19_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( p112(esk19_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk20_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( ~ p12(esk20_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( ~ p112(esk20_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( p111(esk20_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk21_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( p12(esk21_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( ~ p112(esk21_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( p111(esk21_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk22_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ p11(esk22_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ p111(esk22_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( p110(esk22_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk23_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( p11(esk23_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ p111(esk23_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( p110(esk23_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk24_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ p10(esk24_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ p110(esk24_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( p109(esk24_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk25_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( p10(esk25_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ p110(esk25_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( p109(esk25_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk26_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ p9(esk26_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ p109(esk26_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( p108(esk26_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk27_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( p9(esk27_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ p109(esk27_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( p108(esk27_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk28_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ p8(esk28_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ p108(esk28_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p107(esk28_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk29_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p8(esk29_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ p108(esk29_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p107(esk29_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk30_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ p7(esk30_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ p107(esk30_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p106(esk30_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk31_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p7(esk31_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ p107(esk31_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p106(esk31_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk32_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p6(esk32_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p106(esk32_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p105(esk32_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk33_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p6(esk33_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p106(esk33_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p105(esk33_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk34_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p5(esk34_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p105(esk34_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p104(esk34_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk35_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p5(esk35_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p105(esk35_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p104(esk35_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk36_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p4(esk36_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p104(esk36_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p103(esk36_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk37_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p4(esk37_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p104(esk37_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p103(esk37_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk38_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p3(esk38_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p103(esk38_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p102(esk38_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk39_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p3(esk39_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p103(esk39_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p102(esk39_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk40_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p2(esk40_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p102(esk40_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p101(esk40_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk41_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p2(esk41_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p102(esk41_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p101(esk41_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p120(X3)
| ~ p121(X3)
| ~ epred1_1(X3) )
& ( p119(X3)
| ~ p120(X3)
| ~ epred1_1(X3) )
& ( p118(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( p117(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( p116(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( p115(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( p114(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( p113(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( p112(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( p111(X3)
| ~ p112(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(51,plain,
( p101(X1)
| p101(esk40_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(52,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk40_1(X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(54,plain,
( p101(X1)
| r1(X1,esk40_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(59,plain,
( p102(X1)
| p102(esk38_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(60,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk38_1(X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(62,plain,
( p102(X1)
| r1(X1,esk38_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(67,plain,
( p103(X1)
| p103(esk36_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(68,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk36_1(X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(70,plain,
( p103(X1)
| r1(X1,esk36_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(75,plain,
( p104(X1)
| p104(esk34_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(76,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p105(esk34_1(X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(78,plain,
( p104(X1)
| r1(X1,esk34_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(83,plain,
( p105(X1)
| p105(esk32_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(84,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p106(esk32_1(X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(86,plain,
( p105(X1)
| r1(X1,esk32_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(91,plain,
( p106(X1)
| p106(esk30_1(X1))
| ~ epred1_1(X1)
| ~ p105(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(92,plain,
( p106(X1)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p107(esk30_1(X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(94,plain,
( p106(X1)
| r1(X1,esk30_1(X1))
| ~ epred1_1(X1)
| ~ p105(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(101,plain,
( p107(X1)
| ~ epred1_1(X1)
| ~ p106(X1)
| ~ p8(esk28_1(X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(102,plain,
( p107(X1)
| r1(X1,esk28_1(X1))
| ~ epred1_1(X1)
| ~ p106(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(249,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[15,20,theory(equality)]) ).
cnf(266,plain,
( r1(X1,esk38_1(X2))
| p102(X2)
| ~ r1(X1,X2)
| ~ epred1_1(X2)
| ~ p101(X2) ),
inference(spm,[status(thm)],[18,62,theory(equality)]) ).
cnf(270,negated_conjecture,
( p107(X1)
| ~ epred1_1(X1)
| ~ p106(X1)
| ~ r1(esk1_0,esk28_1(X1)) ),
inference(spm,[status(thm)],[101,12,theory(equality)]) ).
cnf(326,plain,
( r1(X1,esk28_1(X2))
| p107(X2)
| ~ r1(X1,X2)
| ~ epred1_1(X2)
| ~ p106(X2) ),
inference(spm,[status(thm)],[18,102,theory(equality)]) ).
cnf(330,plain,
( r1(X1,esk30_1(X2))
| p106(X2)
| ~ r1(X1,X2)
| ~ epred1_1(X2)
| ~ p105(X2) ),
inference(spm,[status(thm)],[18,94,theory(equality)]) ).
cnf(334,plain,
( r1(X1,esk32_1(X2))
| p105(X2)
| ~ r1(X1,X2)
| ~ epred1_1(X2)
| ~ p104(X2) ),
inference(spm,[status(thm)],[18,86,theory(equality)]) ).
cnf(338,plain,
( r1(X1,esk34_1(X2))
| p104(X2)
| ~ r1(X1,X2)
| ~ epred1_1(X2)
| ~ p103(X2) ),
inference(spm,[status(thm)],[18,78,theory(equality)]) ).
cnf(342,plain,
( r1(X1,esk36_1(X2))
| p103(X2)
| ~ r1(X1,X2)
| ~ epred1_1(X2)
| ~ p102(X2) ),
inference(spm,[status(thm)],[18,70,theory(equality)]) ).
cnf(3702,plain,
( p107(X1)
| ~ epred1_1(X1)
| ~ p106(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[270,326,theory(equality)]) ).
cnf(3703,plain,
( p107(X1)
| ~ p106(X1)
| ~ r1(esk1_0,X1) ),
inference(csr,[status(thm)],[3702,15]) ).
cnf(3705,plain,
( p107(esk30_1(X1))
| p106(X1)
| ~ r1(esk1_0,esk30_1(X1))
| ~ epred1_1(X1)
| ~ p105(X1) ),
inference(spm,[status(thm)],[3703,91,theory(equality)]) ).
cnf(5014,plain,
( p106(X1)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ r1(esk1_0,esk30_1(X1)) ),
inference(csr,[status(thm)],[3705,92]) ).
cnf(5016,plain,
( p106(X1)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[5014,330,theory(equality)]) ).
cnf(5020,plain,
( p106(X1)
| ~ p105(X1)
| ~ r1(esk1_0,X1) ),
inference(csr,[status(thm)],[5016,15]) ).
cnf(5022,plain,
( p106(esk32_1(X1))
| p105(X1)
| ~ r1(esk1_0,esk32_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(spm,[status(thm)],[5020,83,theory(equality)]) ).
cnf(5031,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ r1(esk1_0,esk32_1(X1)) ),
inference(csr,[status(thm)],[5022,84]) ).
cnf(5033,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[5031,334,theory(equality)]) ).
cnf(5037,plain,
( p105(X1)
| ~ p104(X1)
| ~ r1(esk1_0,X1) ),
inference(csr,[status(thm)],[5033,15]) ).
cnf(5039,plain,
( p105(esk34_1(X1))
| p104(X1)
| ~ r1(esk1_0,esk34_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(spm,[status(thm)],[5037,75,theory(equality)]) ).
cnf(5048,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ r1(esk1_0,esk34_1(X1)) ),
inference(csr,[status(thm)],[5039,76]) ).
cnf(5050,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[5048,338,theory(equality)]) ).
cnf(5054,plain,
( p104(X1)
| ~ p103(X1)
| ~ r1(esk1_0,X1) ),
inference(csr,[status(thm)],[5050,15]) ).
cnf(5056,plain,
( p104(esk36_1(X1))
| p103(X1)
| ~ r1(esk1_0,esk36_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(spm,[status(thm)],[5054,67,theory(equality)]) ).
cnf(5065,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ r1(esk1_0,esk36_1(X1)) ),
inference(csr,[status(thm)],[5056,68]) ).
cnf(5067,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[5065,342,theory(equality)]) ).
cnf(5071,plain,
( p103(X1)
| ~ p102(X1)
| ~ r1(esk1_0,X1) ),
inference(csr,[status(thm)],[5067,15]) ).
cnf(5073,plain,
( p103(esk38_1(X1))
| p102(X1)
| ~ r1(esk1_0,esk38_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(spm,[status(thm)],[5071,59,theory(equality)]) ).
cnf(5075,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ r1(esk1_0,esk38_1(X1)) ),
inference(csr,[status(thm)],[5073,60]) ).
cnf(5077,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[5075,266,theory(equality)]) ).
cnf(5081,plain,
( p102(X1)
| ~ p101(X1)
| ~ r1(esk1_0,X1) ),
inference(csr,[status(thm)],[5077,15]) ).
cnf(5083,plain,
( p102(esk40_1(X1))
| p101(X1)
| ~ r1(esk1_0,esk40_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(spm,[status(thm)],[5081,51,theory(equality)]) ).
cnf(5085,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ r1(esk1_0,esk40_1(X1)) ),
inference(csr,[status(thm)],[5083,52]) ).
cnf(5086,plain,
( p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[5085,54,theory(equality)]) ).
cnf(5088,plain,
( p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[5086,249,theory(equality)]) ).
cnf(5089,plain,
( p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[5088,13,theory(equality)]) ).
cnf(5090,plain,
p101(esk1_0),
inference(cn,[status(thm)],[5089,theory(equality)]) ).
cnf(5091,plain,
$false,
inference(sr,[status(thm)],[5090,14,theory(equality)]) ).
cnf(5092,plain,
$false,
5091,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL674+1.020.p
% --creating new selector for []
% -running prover on /tmp/tmptl4e3p/sel_LCL674+1.020.p_1 with time limit 29
% -prover status Theorem
% Problem LCL674+1.020.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL674+1.020.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL674+1.020.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
%
%------------------------------------------------------------------------------