%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL656+1.020 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 07:46:50 EDT 2023
% Result : Theorem 28.26s 4.69s
% Output : CNFRefutation 28.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 59
% Syntax : Number of formulae : 231 ( 9 unt; 0 def)
% Number of atoms : 5606 ( 0 equ)
% Maximal formula atoms : 474 ( 24 avg)
% Number of connectives : 9664 (4289 ~;3314 |;2046 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 119 ( 14 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 87 ( 86 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-1 aty)
% Number of variables : 1897 ( 0 sgn;1164 !; 172 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p106(X0)
| p105(X0) )
& ( ~ p107(X0)
| p106(X0) )
& ( ~ p108(X0)
| p107(X0) )
& ( ~ p109(X0)
| p108(X0) )
& ( ~ p110(X0)
| p109(X0) )
& ( ~ p111(X0)
| p110(X0) )
& ( ~ p112(X0)
| p111(X0) )
& ( ~ p113(X0)
| p112(X0) )
& ( ~ p114(X0)
| p113(X0) )
& ( ~ p115(X0)
| p114(X0) )
& ( ~ p116(X0)
| p115(X0) )
& ( ~ p117(X0)
| p116(X0) )
& ( ~ p118(X0)
| p117(X0) )
& ( ~ p119(X0)
| p118(X0) )
& ( ~ p120(X0)
| p119(X0) )
& ( ~ p121(X0)
| p120(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1) ) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X0,X1) ) )
& ( p3(X0)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X0,X1) ) )
& ( p4(X0)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X0,X1) ) )
& ( p5(X0)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X0,X1) ) )
& ( p6(X0)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p106(X0)
| ( ( ~ p7(X0)
| ! [X1] :
( ~ p106(X1)
| p7(X1)
| ~ r1(X0,X1) ) )
& ( p7(X0)
| ! [X1] :
( ~ p106(X1)
| ~ p7(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p107(X0)
| ( ( ~ p8(X0)
| ! [X1] :
( ~ p107(X1)
| p8(X1)
| ~ r1(X0,X1) ) )
& ( p8(X0)
| ! [X1] :
( ~ p107(X1)
| ~ p8(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p108(X0)
| ( ( ~ p9(X0)
| ! [X1] :
( ~ p108(X1)
| p9(X1)
| ~ r1(X0,X1) ) )
& ( p9(X0)
| ! [X1] :
( ~ p108(X1)
| ~ p9(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p109(X0)
| ( ( ~ p10(X0)
| ! [X1] :
( ~ p109(X1)
| p10(X1)
| ~ r1(X0,X1) ) )
& ( p10(X0)
| ! [X1] :
( ~ p109(X1)
| ~ p10(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p110(X0)
| ( ( ~ p11(X0)
| ! [X1] :
( ~ p110(X1)
| p11(X1)
| ~ r1(X0,X1) ) )
& ( p11(X0)
| ! [X1] :
( ~ p110(X1)
| ~ p11(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p111(X0)
| ( ( ~ p12(X0)
| ! [X1] :
( ~ p111(X1)
| p12(X1)
| ~ r1(X0,X1) ) )
& ( p12(X0)
| ! [X1] :
( ~ p111(X1)
| ~ p12(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p112(X0)
| ( ( ~ p13(X0)
| ! [X1] :
( ~ p112(X1)
| p13(X1)
| ~ r1(X0,X1) ) )
& ( p13(X0)
| ! [X1] :
( ~ p112(X1)
| ~ p13(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p113(X0)
| ( ( ~ p14(X0)
| ! [X1] :
( ~ p113(X1)
| p14(X1)
| ~ r1(X0,X1) ) )
& ( p14(X0)
| ! [X1] :
( ~ p113(X1)
| ~ p14(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p114(X0)
| ( ( ~ p15(X0)
| ! [X1] :
( ~ p114(X1)
| p15(X1)
| ~ r1(X0,X1) ) )
& ( p15(X0)
| ! [X1] :
( ~ p114(X1)
| ~ p15(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p115(X0)
| ( ( ~ p16(X0)
| ! [X1] :
( ~ p115(X1)
| p16(X1)
| ~ r1(X0,X1) ) )
& ( p16(X0)
| ! [X1] :
( ~ p115(X1)
| ~ p16(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p116(X0)
| ( ( ~ p17(X0)
| ! [X1] :
( ~ p116(X1)
| p17(X1)
| ~ r1(X0,X1) ) )
& ( p17(X0)
| ! [X1] :
( ~ p116(X1)
| ~ p17(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p117(X0)
| ( ( ~ p18(X0)
| ! [X1] :
( ~ p117(X1)
| p18(X1)
| ~ r1(X0,X1) ) )
& ( p18(X0)
| ! [X1] :
( ~ p117(X1)
| ~ p18(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p118(X0)
| ( ( ~ p19(X0)
| ! [X1] :
( ~ p118(X1)
| p19(X1)
| ~ r1(X0,X1) ) )
& ( p19(X0)
| ! [X1] :
( ~ p118(X1)
| ~ p19(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p119(X0)
| ( ( ~ p20(X0)
| ! [X1] :
( ~ p119(X1)
| p20(X1)
| ~ r1(X0,X1) ) )
& ( p20(X0)
| ! [X1] :
( ~ p119(X1)
| ~ p20(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p120(X0)
| ( ( ~ p21(X0)
| ! [X1] :
( ~ p120(X1)
| p21(X1)
| ~ r1(X0,X1) ) )
& ( p21(X0)
| ! [X1] :
( ~ p120(X1)
| ~ p21(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p101(X0)
& ~ p102(X0) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p102(X0)
& ~ p103(X0) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p103(X0)
& ~ p104(X0) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p104(X0)
& ~ p105(X0) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p105(X0)
& ~ p106(X0) )
| ( ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& p7(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& ~ p7(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p106(X0)
& ~ p107(X0) )
| ( ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& p8(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& ~ p8(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p107(X0)
& ~ p108(X0) )
| ( ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& p9(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& ~ p9(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p108(X0)
& ~ p109(X0) )
| ( ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& p10(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& ~ p10(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p109(X0)
& ~ p110(X0) )
| ( ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& p11(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& ~ p11(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p110(X0)
& ~ p111(X0) )
| ( ~ ! [X1] :
( ~ ( p111(X1)
& ~ p112(X1)
& p12(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p111(X1)
& ~ p112(X1)
& ~ p12(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p111(X0)
& ~ p112(X0) )
| ( ~ ! [X1] :
( ~ ( p112(X1)
& ~ p113(X1)
& p13(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p112(X1)
& ~ p113(X1)
& ~ p13(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p112(X0)
& ~ p113(X0) )
| ( ~ ! [X1] :
( ~ ( p113(X1)
& ~ p114(X1)
& p14(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p113(X1)
& ~ p114(X1)
& ~ p14(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p113(X0)
& ~ p114(X0) )
| ( ~ ! [X1] :
( ~ ( p114(X1)
& ~ p115(X1)
& p15(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p114(X1)
& ~ p115(X1)
& ~ p15(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p114(X0)
& ~ p115(X0) )
| ( ~ ! [X1] :
( ~ ( p115(X1)
& ~ p116(X1)
& p16(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p115(X1)
& ~ p116(X1)
& ~ p16(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p115(X0)
& ~ p116(X0) )
| ( ~ ! [X1] :
( ~ ( p116(X1)
& ~ p117(X1)
& p17(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p116(X1)
& ~ p117(X1)
& ~ p17(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p116(X0)
& ~ p117(X0) )
| ( ~ ! [X1] :
( ~ ( p117(X1)
& ~ p118(X1)
& p18(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p117(X1)
& ~ p118(X1)
& ~ p18(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p117(X0)
& ~ p118(X0) )
| ( ~ ! [X1] :
( ~ ( p118(X1)
& ~ p119(X1)
& p19(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p118(X1)
& ~ p119(X1)
& ~ p19(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p118(X0)
& ~ p119(X0) )
| ( ~ ! [X1] :
( ~ ( p119(X1)
& ~ p120(X1)
& p20(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p119(X1)
& ~ p120(X1)
& ~ p20(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p119(X0)
& ~ p120(X0) )
| ( ~ ! [X1] :
( ~ ( p120(X1)
& ~ p121(X1)
& p21(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p120(X1)
& ~ p121(X1)
& ~ p21(X1) )
| ~ r1(X0,X1) ) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( p8(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p106(X0)
| p105(X0) )
& ( ~ p107(X0)
| p106(X0) )
& ( ~ p108(X0)
| p107(X0) )
& ( ~ p109(X0)
| p108(X0) )
& ( ~ p110(X0)
| p109(X0) )
& ( ~ p111(X0)
| p110(X0) )
& ( ~ p112(X0)
| p111(X0) )
& ( ~ p113(X0)
| p112(X0) )
& ( ~ p114(X0)
| p113(X0) )
& ( ~ p115(X0)
| p114(X0) )
& ( ~ p116(X0)
| p115(X0) )
& ( ~ p117(X0)
| p116(X0) )
& ( ~ p118(X0)
| p117(X0) )
& ( ~ p119(X0)
| p118(X0) )
& ( ~ p120(X0)
| p119(X0) )
& ( ~ p121(X0)
| p120(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1) ) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X0,X1) ) )
& ( p3(X0)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X0,X1) ) )
& ( p4(X0)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X0,X1) ) )
& ( p5(X0)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X0,X1) ) )
& ( p6(X0)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p106(X0)
| ( ( ~ p7(X0)
| ! [X1] :
( ~ p106(X1)
| p7(X1)
| ~ r1(X0,X1) ) )
& ( p7(X0)
| ! [X1] :
( ~ p106(X1)
| ~ p7(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p107(X0)
| ( ( ~ p8(X0)
| ! [X1] :
( ~ p107(X1)
| p8(X1)
| ~ r1(X0,X1) ) )
& ( p8(X0)
| ! [X1] :
( ~ p107(X1)
| ~ p8(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p108(X0)
| ( ( ~ p9(X0)
| ! [X1] :
( ~ p108(X1)
| p9(X1)
| ~ r1(X0,X1) ) )
& ( p9(X0)
| ! [X1] :
( ~ p108(X1)
| ~ p9(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p109(X0)
| ( ( ~ p10(X0)
| ! [X1] :
( ~ p109(X1)
| p10(X1)
| ~ r1(X0,X1) ) )
& ( p10(X0)
| ! [X1] :
( ~ p109(X1)
| ~ p10(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p110(X0)
| ( ( ~ p11(X0)
| ! [X1] :
( ~ p110(X1)
| p11(X1)
| ~ r1(X0,X1) ) )
& ( p11(X0)
| ! [X1] :
( ~ p110(X1)
| ~ p11(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p111(X0)
| ( ( ~ p12(X0)
| ! [X1] :
( ~ p111(X1)
| p12(X1)
| ~ r1(X0,X1) ) )
& ( p12(X0)
| ! [X1] :
( ~ p111(X1)
| ~ p12(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p112(X0)
| ( ( ~ p13(X0)
| ! [X1] :
( ~ p112(X1)
| p13(X1)
| ~ r1(X0,X1) ) )
& ( p13(X0)
| ! [X1] :
( ~ p112(X1)
| ~ p13(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p113(X0)
| ( ( ~ p14(X0)
| ! [X1] :
( ~ p113(X1)
| p14(X1)
| ~ r1(X0,X1) ) )
& ( p14(X0)
| ! [X1] :
( ~ p113(X1)
| ~ p14(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p114(X0)
| ( ( ~ p15(X0)
| ! [X1] :
( ~ p114(X1)
| p15(X1)
| ~ r1(X0,X1) ) )
& ( p15(X0)
| ! [X1] :
( ~ p114(X1)
| ~ p15(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p115(X0)
| ( ( ~ p16(X0)
| ! [X1] :
( ~ p115(X1)
| p16(X1)
| ~ r1(X0,X1) ) )
& ( p16(X0)
| ! [X1] :
( ~ p115(X1)
| ~ p16(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p116(X0)
| ( ( ~ p17(X0)
| ! [X1] :
( ~ p116(X1)
| p17(X1)
| ~ r1(X0,X1) ) )
& ( p17(X0)
| ! [X1] :
( ~ p116(X1)
| ~ p17(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p117(X0)
| ( ( ~ p18(X0)
| ! [X1] :
( ~ p117(X1)
| p18(X1)
| ~ r1(X0,X1) ) )
& ( p18(X0)
| ! [X1] :
( ~ p117(X1)
| ~ p18(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p118(X0)
| ( ( ~ p19(X0)
| ! [X1] :
( ~ p118(X1)
| p19(X1)
| ~ r1(X0,X1) ) )
& ( p19(X0)
| ! [X1] :
( ~ p118(X1)
| ~ p19(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p119(X0)
| ( ( ~ p20(X0)
| ! [X1] :
( ~ p119(X1)
| p20(X1)
| ~ r1(X0,X1) ) )
& ( p20(X0)
| ! [X1] :
( ~ p119(X1)
| ~ p20(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p120(X0)
| ( ( ~ p21(X0)
| ! [X1] :
( ~ p120(X1)
| p21(X1)
| ~ r1(X0,X1) ) )
& ( p21(X0)
| ! [X1] :
( ~ p120(X1)
| ~ p21(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p101(X0)
& ~ p102(X0) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p102(X0)
& ~ p103(X0) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p103(X0)
& ~ p104(X0) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p104(X0)
& ~ p105(X0) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p105(X0)
& ~ p106(X0) )
| ( ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& p7(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& ~ p7(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p106(X0)
& ~ p107(X0) )
| ( ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& p8(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& ~ p8(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p107(X0)
& ~ p108(X0) )
| ( ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& p9(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& ~ p9(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p108(X0)
& ~ p109(X0) )
| ( ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& p10(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& ~ p10(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p109(X0)
& ~ p110(X0) )
| ( ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& p11(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& ~ p11(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p110(X0)
& ~ p111(X0) )
| ( ~ ! [X1] :
( ~ ( p111(X1)
& ~ p112(X1)
& p12(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p111(X1)
& ~ p112(X1)
& ~ p12(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p111(X0)
& ~ p112(X0) )
| ( ~ ! [X1] :
( ~ ( p112(X1)
& ~ p113(X1)
& p13(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p112(X1)
& ~ p113(X1)
& ~ p13(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p112(X0)
& ~ p113(X0) )
| ( ~ ! [X1] :
( ~ ( p113(X1)
& ~ p114(X1)
& p14(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p113(X1)
& ~ p114(X1)
& ~ p14(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p113(X0)
& ~ p114(X0) )
| ( ~ ! [X1] :
( ~ ( p114(X1)
& ~ p115(X1)
& p15(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p114(X1)
& ~ p115(X1)
& ~ p15(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p114(X0)
& ~ p115(X0) )
| ( ~ ! [X1] :
( ~ ( p115(X1)
& ~ p116(X1)
& p16(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p115(X1)
& ~ p116(X1)
& ~ p16(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p115(X0)
& ~ p116(X0) )
| ( ~ ! [X1] :
( ~ ( p116(X1)
& ~ p117(X1)
& p17(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p116(X1)
& ~ p117(X1)
& ~ p17(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p116(X0)
& ~ p117(X0) )
| ( ~ ! [X1] :
( ~ ( p117(X1)
& ~ p118(X1)
& p18(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p117(X1)
& ~ p118(X1)
& ~ p18(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p117(X0)
& ~ p118(X0) )
| ( ~ ! [X1] :
( ~ ( p118(X1)
& ~ p119(X1)
& p19(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p118(X1)
& ~ p119(X1)
& ~ p19(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p118(X0)
& ~ p119(X0) )
| ( ~ ! [X1] :
( ~ ( p119(X1)
& ~ p120(X1)
& p20(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p119(X1)
& ~ p120(X1)
& ~ p20(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p119(X0)
& ~ p120(X0) )
| ( ~ ! [X1] :
( ~ ( p120(X1)
& ~ p121(X1)
& p21(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p120(X1)
& ~ p121(X1)
& ~ p21(X1) )
| ~ r1(X0,X1) ) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( p8(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p112(X20)
| p111(X20) )
& ( ~ p113(X20)
| p112(X20) )
& ( ~ p114(X20)
| p113(X20) )
& ( ~ p115(X20)
| p114(X20) )
& ( ~ p116(X20)
| p115(X20) )
& ( ~ p117(X20)
| p116(X20) )
& ( ~ p118(X20)
| p117(X20) )
& ( ~ p119(X20)
| p118(X20) )
& ( ~ p120(X20)
| p119(X20) )
& ( ~ p121(X20)
| p120(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X21] :
( ~ p100(X21)
| p1(X21)
| ~ r1(X20,X21) ) )
& ( p1(X20)
| ! [X22] :
( ~ p100(X22)
| ~ p1(X22)
| ~ r1(X20,X22) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X23] :
( ~ p101(X23)
| p2(X23)
| ~ r1(X20,X23) ) )
& ( p2(X20)
| ! [X24] :
( ~ p101(X24)
| ~ p2(X24)
| ~ r1(X20,X24) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X25] :
( ~ p102(X25)
| p3(X25)
| ~ r1(X20,X25) ) )
& ( p3(X20)
| ! [X26] :
( ~ p102(X26)
| ~ p3(X26)
| ~ r1(X20,X26) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X27] :
( ~ p103(X27)
| p4(X27)
| ~ r1(X20,X27) ) )
& ( p4(X20)
| ! [X28] :
( ~ p103(X28)
| ~ p4(X28)
| ~ r1(X20,X28) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X29] :
( ~ p104(X29)
| p5(X29)
| ~ r1(X20,X29) ) )
& ( p5(X20)
| ! [X30] :
( ~ p104(X30)
| ~ p5(X30)
| ~ r1(X20,X30) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X31] :
( ~ p105(X31)
| p6(X31)
| ~ r1(X20,X31) ) )
& ( p6(X20)
| ! [X32] :
( ~ p105(X32)
| ~ p6(X32)
| ~ r1(X20,X32) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X33] :
( ~ p106(X33)
| p7(X33)
| ~ r1(X20,X33) ) )
& ( p7(X20)
| ! [X34] :
( ~ p106(X34)
| ~ p7(X34)
| ~ r1(X20,X34) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X35] :
( ~ p107(X35)
| p8(X35)
| ~ r1(X20,X35) ) )
& ( p8(X20)
| ! [X36] :
( ~ p107(X36)
| ~ p8(X36)
| ~ r1(X20,X36) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X37] :
( ~ p108(X37)
| p9(X37)
| ~ r1(X20,X37) ) )
& ( p9(X20)
| ! [X38] :
( ~ p108(X38)
| ~ p9(X38)
| ~ r1(X20,X38) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X39] :
( ~ p109(X39)
| p10(X39)
| ~ r1(X20,X39) ) )
& ( p10(X20)
| ! [X40] :
( ~ p109(X40)
| ~ p10(X40)
| ~ r1(X20,X40) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X41] :
( ~ p110(X41)
| p11(X41)
| ~ r1(X20,X41) ) )
& ( p11(X20)
| ! [X42] :
( ~ p110(X42)
| ~ p11(X42)
| ~ r1(X20,X42) ) ) ) )
& ( ~ p111(X20)
| ( ( ~ p12(X20)
| ! [X43] :
( ~ p111(X43)
| p12(X43)
| ~ r1(X20,X43) ) )
& ( p12(X20)
| ! [X44] :
( ~ p111(X44)
| ~ p12(X44)
| ~ r1(X20,X44) ) ) ) )
& ( ~ p112(X20)
| ( ( ~ p13(X20)
| ! [X45] :
( ~ p112(X45)
| p13(X45)
| ~ r1(X20,X45) ) )
& ( p13(X20)
| ! [X46] :
( ~ p112(X46)
| ~ p13(X46)
| ~ r1(X20,X46) ) ) ) )
& ( ~ p113(X20)
| ( ( ~ p14(X20)
| ! [X47] :
( ~ p113(X47)
| p14(X47)
| ~ r1(X20,X47) ) )
& ( p14(X20)
| ! [X48] :
( ~ p113(X48)
| ~ p14(X48)
| ~ r1(X20,X48) ) ) ) )
& ( ~ p114(X20)
| ( ( ~ p15(X20)
| ! [X49] :
( ~ p114(X49)
| p15(X49)
| ~ r1(X20,X49) ) )
& ( p15(X20)
| ! [X50] :
( ~ p114(X50)
| ~ p15(X50)
| ~ r1(X20,X50) ) ) ) )
& ( ~ p115(X20)
| ( ( ~ p16(X20)
| ! [X51] :
( ~ p115(X51)
| p16(X51)
| ~ r1(X20,X51) ) )
& ( p16(X20)
| ! [X52] :
( ~ p115(X52)
| ~ p16(X52)
| ~ r1(X20,X52) ) ) ) )
& ( ~ p116(X20)
| ( ( ~ p17(X20)
| ! [X53] :
( ~ p116(X53)
| p17(X53)
| ~ r1(X20,X53) ) )
& ( p17(X20)
| ! [X54] :
( ~ p116(X54)
| ~ p17(X54)
| ~ r1(X20,X54) ) ) ) )
& ( ~ p117(X20)
| ( ( ~ p18(X20)
| ! [X55] :
( ~ p117(X55)
| p18(X55)
| ~ r1(X20,X55) ) )
& ( p18(X20)
| ! [X56] :
( ~ p117(X56)
| ~ p18(X56)
| ~ r1(X20,X56) ) ) ) )
& ( ~ p118(X20)
| ( ( ~ p19(X20)
| ! [X57] :
( ~ p118(X57)
| p19(X57)
| ~ r1(X20,X57) ) )
& ( p19(X20)
| ! [X58] :
( ~ p118(X58)
| ~ p19(X58)
| ~ r1(X20,X58) ) ) ) )
& ( ~ p119(X20)
| ( ( ~ p20(X20)
| ! [X59] :
( ~ p119(X59)
| p20(X59)
| ~ r1(X20,X59) ) )
& ( p20(X20)
| ! [X60] :
( ~ p119(X60)
| ~ p20(X60)
| ~ r1(X20,X60) ) ) ) )
& ( ~ p120(X20)
| ( ( ~ p21(X20)
| ! [X61] :
( ~ p120(X61)
| p21(X61)
| ~ r1(X20,X61) ) )
& ( p21(X20)
| ! [X62] :
( ~ p120(X62)
| ~ p21(X62)
| ~ r1(X20,X62) ) ) ) )
& ( ~ ( p100(X20)
& ~ p101(X20) )
| ( ~ ! [X63] :
( ~ ( p101(X63)
& ~ p102(X63)
& p2(X63) )
| ~ r1(X20,X63) )
& ~ ! [X64] :
( ~ ( p101(X64)
& ~ p102(X64)
& ~ p2(X64) )
| ~ r1(X20,X64) ) ) )
& ( ~ ( p101(X20)
& ~ p102(X20) )
| ( ~ ! [X65] :
( ~ ( p102(X65)
& ~ p103(X65)
& p3(X65) )
| ~ r1(X20,X65) )
& ~ ! [X66] :
( ~ ( p102(X66)
& ~ p103(X66)
& ~ p3(X66) )
| ~ r1(X20,X66) ) ) )
& ( ~ ( p102(X20)
& ~ p103(X20) )
| ( ~ ! [X67] :
( ~ ( p103(X67)
& ~ p104(X67)
& p4(X67) )
| ~ r1(X20,X67) )
& ~ ! [X68] :
( ~ ( p103(X68)
& ~ p104(X68)
& ~ p4(X68) )
| ~ r1(X20,X68) ) ) )
& ( ~ ( p103(X20)
& ~ p104(X20) )
| ( ~ ! [X69] :
( ~ ( p104(X69)
& ~ p105(X69)
& p5(X69) )
| ~ r1(X20,X69) )
& ~ ! [X70] :
( ~ ( p104(X70)
& ~ p105(X70)
& ~ p5(X70) )
| ~ r1(X20,X70) ) ) )
& ( ~ ( p104(X20)
& ~ p105(X20) )
| ( ~ ! [X71] :
( ~ ( p105(X71)
& ~ p106(X71)
& p6(X71) )
| ~ r1(X20,X71) )
& ~ ! [X72] :
( ~ ( p105(X72)
& ~ p106(X72)
& ~ p6(X72) )
| ~ r1(X20,X72) ) ) )
& ( ~ ( p105(X20)
& ~ p106(X20) )
| ( ~ ! [X73] :
( ~ ( p106(X73)
& ~ p107(X73)
& p7(X73) )
| ~ r1(X20,X73) )
& ~ ! [X74] :
( ~ ( p106(X74)
& ~ p107(X74)
& ~ p7(X74) )
| ~ r1(X20,X74) ) ) )
& ( ~ ( p106(X20)
& ~ p107(X20) )
| ( ~ ! [X75] :
( ~ ( p107(X75)
& ~ p108(X75)
& p8(X75) )
| ~ r1(X20,X75) )
& ~ ! [X76] :
( ~ ( p107(X76)
& ~ p108(X76)
& ~ p8(X76) )
| ~ r1(X20,X76) ) ) )
& ( ~ ( p107(X20)
& ~ p108(X20) )
| ( ~ ! [X77] :
( ~ ( p108(X77)
& ~ p109(X77)
& p9(X77) )
| ~ r1(X20,X77) )
& ~ ! [X78] :
( ~ ( p108(X78)
& ~ p109(X78)
& ~ p9(X78) )
| ~ r1(X20,X78) ) ) )
& ( ~ ( p108(X20)
& ~ p109(X20) )
| ( ~ ! [X79] :
( ~ ( p109(X79)
& ~ p110(X79)
& p10(X79) )
| ~ r1(X20,X79) )
& ~ ! [X80] :
( ~ ( p109(X80)
& ~ p110(X80)
& ~ p10(X80) )
| ~ r1(X20,X80) ) ) )
& ( ~ ( p109(X20)
& ~ p110(X20) )
| ( ~ ! [X81] :
( ~ ( p110(X81)
& ~ p111(X81)
& p11(X81) )
| ~ r1(X20,X81) )
& ~ ! [X82] :
( ~ ( p110(X82)
& ~ p111(X82)
& ~ p11(X82) )
| ~ r1(X20,X82) ) ) )
& ( ~ ( p110(X20)
& ~ p111(X20) )
| ( ~ ! [X83] :
( ~ ( p111(X83)
& ~ p112(X83)
& p12(X83) )
| ~ r1(X20,X83) )
& ~ ! [X84] :
( ~ ( p111(X84)
& ~ p112(X84)
& ~ p12(X84) )
| ~ r1(X20,X84) ) ) )
& ( ~ ( p111(X20)
& ~ p112(X20) )
| ( ~ ! [X85] :
( ~ ( p112(X85)
& ~ p113(X85)
& p13(X85) )
| ~ r1(X20,X85) )
& ~ ! [X86] :
( ~ ( p112(X86)
& ~ p113(X86)
& ~ p13(X86) )
| ~ r1(X20,X86) ) ) )
& ( ~ ( p112(X20)
& ~ p113(X20) )
| ( ~ ! [X87] :
( ~ ( p113(X87)
& ~ p114(X87)
& p14(X87) )
| ~ r1(X20,X87) )
& ~ ! [X88] :
( ~ ( p113(X88)
& ~ p114(X88)
& ~ p14(X88) )
| ~ r1(X20,X88) ) ) )
& ( ~ ( p113(X20)
& ~ p114(X20) )
| ( ~ ! [X89] :
( ~ ( p114(X89)
& ~ p115(X89)
& p15(X89) )
| ~ r1(X20,X89) )
& ~ ! [X90] :
( ~ ( p114(X90)
& ~ p115(X90)
& ~ p15(X90) )
| ~ r1(X20,X90) ) ) )
& ( ~ ( p114(X20)
& ~ p115(X20) )
| ( ~ ! [X91] :
( ~ ( p115(X91)
& ~ p116(X91)
& p16(X91) )
| ~ r1(X20,X91) )
& ~ ! [X92] :
( ~ ( p115(X92)
& ~ p116(X92)
& ~ p16(X92) )
| ~ r1(X20,X92) ) ) )
& ( ~ ( p115(X20)
& ~ p116(X20) )
| ( ~ ! [X93] :
( ~ ( p116(X93)
& ~ p117(X93)
& p17(X93) )
| ~ r1(X20,X93) )
& ~ ! [X94] :
( ~ ( p116(X94)
& ~ p117(X94)
& ~ p17(X94) )
| ~ r1(X20,X94) ) ) )
& ( ~ ( p116(X20)
& ~ p117(X20) )
| ( ~ ! [X95] :
( ~ ( p117(X95)
& ~ p118(X95)
& p18(X95) )
| ~ r1(X20,X95) )
& ~ ! [X96] :
( ~ ( p117(X96)
& ~ p118(X96)
& ~ p18(X96) )
| ~ r1(X20,X96) ) ) )
& ( ~ ( p117(X20)
& ~ p118(X20) )
| ( ~ ! [X97] :
( ~ ( p118(X97)
& ~ p119(X97)
& p19(X97) )
| ~ r1(X20,X97) )
& ~ ! [X98] :
( ~ ( p118(X98)
& ~ p119(X98)
& ~ p19(X98) )
| ~ r1(X20,X98) ) ) )
& ( ~ ( p118(X20)
& ~ p119(X20) )
| ( ~ ! [X99] :
( ~ ( p119(X99)
& ~ p120(X99)
& p20(X99) )
| ~ r1(X20,X99) )
& ~ ! [X100] :
( ~ ( p119(X100)
& ~ p120(X100)
& ~ p20(X100) )
| ~ r1(X20,X100) ) ) )
& ( ~ ( p119(X20)
& ~ p120(X20) )
| ( ~ ! [X101] :
( ~ ( p120(X101)
& ~ p121(X101)
& p21(X101) )
| ~ r1(X20,X101) )
& ~ ! [X102] :
( ~ ( p120(X102)
& ~ p121(X102)
& ~ p21(X102) )
| ~ r1(X20,X102) ) ) ) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,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(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( p8(X122)
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X0,X103) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p112(X20)
| p111(X20) )
& ( ~ p113(X20)
| p112(X20) )
& ( ~ p114(X20)
| p113(X20) )
& ( ~ p115(X20)
| p114(X20) )
& ( ~ p116(X20)
| p115(X20) )
& ( ~ p117(X20)
| p116(X20) )
& ( ~ p118(X20)
| p117(X20) )
& ( ~ p119(X20)
| p118(X20) )
& ( ~ p120(X20)
| p119(X20) )
& ( ~ p121(X20)
| p120(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X21] :
( ~ p100(X21)
| p1(X21)
| ~ r1(X20,X21) ) )
& ( p1(X20)
| ! [X22] :
( ~ p100(X22)
| ~ p1(X22)
| ~ r1(X20,X22) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X23] :
( ~ p101(X23)
| p2(X23)
| ~ r1(X20,X23) ) )
& ( p2(X20)
| ! [X24] :
( ~ p101(X24)
| ~ p2(X24)
| ~ r1(X20,X24) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X25] :
( ~ p102(X25)
| p3(X25)
| ~ r1(X20,X25) ) )
& ( p3(X20)
| ! [X26] :
( ~ p102(X26)
| ~ p3(X26)
| ~ r1(X20,X26) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X27] :
( ~ p103(X27)
| p4(X27)
| ~ r1(X20,X27) ) )
& ( p4(X20)
| ! [X28] :
( ~ p103(X28)
| ~ p4(X28)
| ~ r1(X20,X28) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X29] :
( ~ p104(X29)
| p5(X29)
| ~ r1(X20,X29) ) )
& ( p5(X20)
| ! [X30] :
( ~ p104(X30)
| ~ p5(X30)
| ~ r1(X20,X30) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X31] :
( ~ p105(X31)
| p6(X31)
| ~ r1(X20,X31) ) )
& ( p6(X20)
| ! [X32] :
( ~ p105(X32)
| ~ p6(X32)
| ~ r1(X20,X32) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X33] :
( ~ p106(X33)
| p7(X33)
| ~ r1(X20,X33) ) )
& ( p7(X20)
| ! [X34] :
( ~ p106(X34)
| ~ p7(X34)
| ~ r1(X20,X34) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X35] :
( ~ p107(X35)
| p8(X35)
| ~ r1(X20,X35) ) )
& ( p8(X20)
| ! [X36] :
( ~ p107(X36)
| ~ p8(X36)
| ~ r1(X20,X36) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X37] :
( ~ p108(X37)
| p9(X37)
| ~ r1(X20,X37) ) )
& ( p9(X20)
| ! [X38] :
( ~ p108(X38)
| ~ p9(X38)
| ~ r1(X20,X38) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X39] :
( ~ p109(X39)
| p10(X39)
| ~ r1(X20,X39) ) )
& ( p10(X20)
| ! [X40] :
( ~ p109(X40)
| ~ p10(X40)
| ~ r1(X20,X40) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X41] :
( ~ p110(X41)
| p11(X41)
| ~ r1(X20,X41) ) )
& ( p11(X20)
| ! [X42] :
( ~ p110(X42)
| ~ p11(X42)
| ~ r1(X20,X42) ) ) ) )
& ( ~ p111(X20)
| ( ( ~ p12(X20)
| ! [X43] :
( ~ p111(X43)
| p12(X43)
| ~ r1(X20,X43) ) )
& ( p12(X20)
| ! [X44] :
( ~ p111(X44)
| ~ p12(X44)
| ~ r1(X20,X44) ) ) ) )
& ( ~ p112(X20)
| ( ( ~ p13(X20)
| ! [X45] :
( ~ p112(X45)
| p13(X45)
| ~ r1(X20,X45) ) )
& ( p13(X20)
| ! [X46] :
( ~ p112(X46)
| ~ p13(X46)
| ~ r1(X20,X46) ) ) ) )
& ( ~ p113(X20)
| ( ( ~ p14(X20)
| ! [X47] :
( ~ p113(X47)
| p14(X47)
| ~ r1(X20,X47) ) )
& ( p14(X20)
| ! [X48] :
( ~ p113(X48)
| ~ p14(X48)
| ~ r1(X20,X48) ) ) ) )
& ( ~ p114(X20)
| ( ( ~ p15(X20)
| ! [X49] :
( ~ p114(X49)
| p15(X49)
| ~ r1(X20,X49) ) )
& ( p15(X20)
| ! [X50] :
( ~ p114(X50)
| ~ p15(X50)
| ~ r1(X20,X50) ) ) ) )
& ( ~ p115(X20)
| ( ( ~ p16(X20)
| ! [X51] :
( ~ p115(X51)
| p16(X51)
| ~ r1(X20,X51) ) )
& ( p16(X20)
| ! [X52] :
( ~ p115(X52)
| ~ p16(X52)
| ~ r1(X20,X52) ) ) ) )
& ( ~ p116(X20)
| ( ( ~ p17(X20)
| ! [X53] :
( ~ p116(X53)
| p17(X53)
| ~ r1(X20,X53) ) )
& ( p17(X20)
| ! [X54] :
( ~ p116(X54)
| ~ p17(X54)
| ~ r1(X20,X54) ) ) ) )
& ( ~ p117(X20)
| ( ( ~ p18(X20)
| ! [X55] :
( ~ p117(X55)
| p18(X55)
| ~ r1(X20,X55) ) )
& ( p18(X20)
| ! [X56] :
( ~ p117(X56)
| ~ p18(X56)
| ~ r1(X20,X56) ) ) ) )
& ( ~ p118(X20)
| ( ( ~ p19(X20)
| ! [X57] :
( ~ p118(X57)
| p19(X57)
| ~ r1(X20,X57) ) )
& ( p19(X20)
| ! [X58] :
( ~ p118(X58)
| ~ p19(X58)
| ~ r1(X20,X58) ) ) ) )
& ( ~ p119(X20)
| ( ( ~ p20(X20)
| ! [X59] :
( ~ p119(X59)
| p20(X59)
| ~ r1(X20,X59) ) )
& ( p20(X20)
| ! [X60] :
( ~ p119(X60)
| ~ p20(X60)
| ~ r1(X20,X60) ) ) ) )
& ( ~ p120(X20)
| ( ( ~ p21(X20)
| ! [X61] :
( ~ p120(X61)
| p21(X61)
| ~ r1(X20,X61) ) )
& ( p21(X20)
| ! [X62] :
( ~ p120(X62)
| ~ p21(X62)
| ~ r1(X20,X62) ) ) ) )
& ( ~ ( p100(X20)
& ~ p101(X20) )
| ( ~ ! [X63] :
( ~ ( p101(X63)
& ~ p102(X63)
& p2(X63) )
| ~ r1(X20,X63) )
& ~ ! [X64] :
( ~ ( p101(X64)
& ~ p102(X64)
& ~ p2(X64) )
| ~ r1(X20,X64) ) ) )
& ( ~ ( p101(X20)
& ~ p102(X20) )
| ( ~ ! [X65] :
( ~ ( p102(X65)
& ~ p103(X65)
& p3(X65) )
| ~ r1(X20,X65) )
& ~ ! [X66] :
( ~ ( p102(X66)
& ~ p103(X66)
& ~ p3(X66) )
| ~ r1(X20,X66) ) ) )
& ( ~ ( p102(X20)
& ~ p103(X20) )
| ( ~ ! [X67] :
( ~ ( p103(X67)
& ~ p104(X67)
& p4(X67) )
| ~ r1(X20,X67) )
& ~ ! [X68] :
( ~ ( p103(X68)
& ~ p104(X68)
& ~ p4(X68) )
| ~ r1(X20,X68) ) ) )
& ( ~ ( p103(X20)
& ~ p104(X20) )
| ( ~ ! [X69] :
( ~ ( p104(X69)
& ~ p105(X69)
& p5(X69) )
| ~ r1(X20,X69) )
& ~ ! [X70] :
( ~ ( p104(X70)
& ~ p105(X70)
& ~ p5(X70) )
| ~ r1(X20,X70) ) ) )
& ( ~ ( p104(X20)
& ~ p105(X20) )
| ( ~ ! [X71] :
( ~ ( p105(X71)
& ~ p106(X71)
& p6(X71) )
| ~ r1(X20,X71) )
& ~ ! [X72] :
( ~ ( p105(X72)
& ~ p106(X72)
& ~ p6(X72) )
| ~ r1(X20,X72) ) ) )
& ( ~ ( p105(X20)
& ~ p106(X20) )
| ( ~ ! [X73] :
( ~ ( p106(X73)
& ~ p107(X73)
& p7(X73) )
| ~ r1(X20,X73) )
& ~ ! [X74] :
( ~ ( p106(X74)
& ~ p107(X74)
& ~ p7(X74) )
| ~ r1(X20,X74) ) ) )
& ( ~ ( p106(X20)
& ~ p107(X20) )
| ( ~ ! [X75] :
( ~ ( p107(X75)
& ~ p108(X75)
& p8(X75) )
| ~ r1(X20,X75) )
& ~ ! [X76] :
( ~ ( p107(X76)
& ~ p108(X76)
& ~ p8(X76) )
| ~ r1(X20,X76) ) ) )
& ( ~ ( p107(X20)
& ~ p108(X20) )
| ( ~ ! [X77] :
( ~ ( p108(X77)
& ~ p109(X77)
& p9(X77) )
| ~ r1(X20,X77) )
& ~ ! [X78] :
( ~ ( p108(X78)
& ~ p109(X78)
& ~ p9(X78) )
| ~ r1(X20,X78) ) ) )
& ( ~ ( p108(X20)
& ~ p109(X20) )
| ( ~ ! [X79] :
( ~ ( p109(X79)
& ~ p110(X79)
& p10(X79) )
| ~ r1(X20,X79) )
& ~ ! [X80] :
( ~ ( p109(X80)
& ~ p110(X80)
& ~ p10(X80) )
| ~ r1(X20,X80) ) ) )
& ( ~ ( p109(X20)
& ~ p110(X20) )
| ( ~ ! [X81] :
( ~ ( p110(X81)
& ~ p111(X81)
& p11(X81) )
| ~ r1(X20,X81) )
& ~ ! [X82] :
( ~ ( p110(X82)
& ~ p111(X82)
& ~ p11(X82) )
| ~ r1(X20,X82) ) ) )
& ( ~ ( p110(X20)
& ~ p111(X20) )
| ( ~ ! [X83] :
( ~ ( p111(X83)
& ~ p112(X83)
& p12(X83) )
| ~ r1(X20,X83) )
& ~ ! [X84] :
( ~ ( p111(X84)
& ~ p112(X84)
& ~ p12(X84) )
| ~ r1(X20,X84) ) ) )
& ( ~ ( p111(X20)
& ~ p112(X20) )
| ( ~ ! [X85] :
( ~ ( p112(X85)
& ~ p113(X85)
& p13(X85) )
| ~ r1(X20,X85) )
& ~ ! [X86] :
( ~ ( p112(X86)
& ~ p113(X86)
& ~ p13(X86) )
| ~ r1(X20,X86) ) ) )
& ( ~ ( p112(X20)
& ~ p113(X20) )
| ( ~ ! [X87] :
( ~ ( p113(X87)
& ~ p114(X87)
& p14(X87) )
| ~ r1(X20,X87) )
& ~ ! [X88] :
( ~ ( p113(X88)
& ~ p114(X88)
& ~ p14(X88) )
| ~ r1(X20,X88) ) ) )
& ( ~ ( p113(X20)
& ~ p114(X20) )
| ( ~ ! [X89] :
( ~ ( p114(X89)
& ~ p115(X89)
& p15(X89) )
| ~ r1(X20,X89) )
& ~ ! [X90] :
( ~ ( p114(X90)
& ~ p115(X90)
& ~ p15(X90) )
| ~ r1(X20,X90) ) ) )
& ( ~ ( p114(X20)
& ~ p115(X20) )
| ( ~ ! [X91] :
( ~ ( p115(X91)
& ~ p116(X91)
& p16(X91) )
| ~ r1(X20,X91) )
& ~ ! [X92] :
( ~ ( p115(X92)
& ~ p116(X92)
& ~ p16(X92) )
| ~ r1(X20,X92) ) ) )
& ( ~ ( p115(X20)
& ~ p116(X20) )
| ( ~ ! [X93] :
( ~ ( p116(X93)
& ~ p117(X93)
& p17(X93) )
| ~ r1(X20,X93) )
& ~ ! [X94] :
( ~ ( p116(X94)
& ~ p117(X94)
& ~ p17(X94) )
| ~ r1(X20,X94) ) ) )
& ( ~ ( p116(X20)
& ~ p117(X20) )
| ( ~ ! [X95] :
( ~ ( p117(X95)
& ~ p118(X95)
& p18(X95) )
| ~ r1(X20,X95) )
& ~ ! [X96] :
( ~ ( p117(X96)
& ~ p118(X96)
& ~ p18(X96) )
| ~ r1(X20,X96) ) ) )
& ( ~ ( p117(X20)
& ~ p118(X20) )
| ( ~ ! [X97] :
( ~ ( p118(X97)
& ~ p119(X97)
& p19(X97) )
| ~ r1(X20,X97) )
& ~ ! [X98] :
( ~ ( p118(X98)
& ~ p119(X98)
& ~ p19(X98) )
| ~ r1(X20,X98) ) ) )
& ( ~ ( p118(X20)
& ~ p119(X20) )
| ( ~ ! [X99] :
( ~ ( p119(X99)
& ~ p120(X99)
& p20(X99) )
| ~ r1(X20,X99) )
& ~ ! [X100] :
( ~ ( p119(X100)
& ~ p120(X100)
& ~ p20(X100) )
| ~ r1(X20,X100) ) ) )
& ( ~ ( p119(X20)
& ~ p120(X20) )
| ( ~ ! [X101] :
( ~ ( p120(X101)
& ~ p121(X101)
& p21(X101) )
| ~ r1(X20,X101) )
& ~ ! [X102] :
( ~ ( p120(X102)
& ~ p121(X102)
& ~ p21(X102) )
| ~ r1(X20,X102) ) ) ) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,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(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( p8(X122)
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X0,X103) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p112(X20)
| p111(X20) )
& ( ~ p113(X20)
| p112(X20) )
& ( ~ p114(X20)
| p113(X20) )
& ( ~ p115(X20)
| p114(X20) )
& ( ~ p116(X20)
| p115(X20) )
& ( ~ p117(X20)
| p116(X20) )
& ( ~ p118(X20)
| p117(X20) )
& ( ~ p119(X20)
| p118(X20) )
& ( ~ p120(X20)
| p119(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X21] :
( ~ p100(X21)
| p1(X21)
| ~ r1(X20,X21) ) )
& ( p1(X20)
| ! [X22] :
( ~ p100(X22)
| ~ p1(X22)
| ~ r1(X20,X22) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X23] :
( ~ p101(X23)
| p2(X23)
| ~ r1(X20,X23) ) )
& ( p2(X20)
| ! [X24] :
( ~ p101(X24)
| ~ p2(X24)
| ~ r1(X20,X24) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X25] :
( ~ p102(X25)
| p3(X25)
| ~ r1(X20,X25) ) )
& ( p3(X20)
| ! [X26] :
( ~ p102(X26)
| ~ p3(X26)
| ~ r1(X20,X26) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X27] :
( ~ p103(X27)
| p4(X27)
| ~ r1(X20,X27) ) )
& ( p4(X20)
| ! [X28] :
( ~ p103(X28)
| ~ p4(X28)
| ~ r1(X20,X28) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X29] :
( ~ p104(X29)
| p5(X29)
| ~ r1(X20,X29) ) )
& ( p5(X20)
| ! [X30] :
( ~ p104(X30)
| ~ p5(X30)
| ~ r1(X20,X30) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X31] :
( ~ p105(X31)
| p6(X31)
| ~ r1(X20,X31) ) )
& ( p6(X20)
| ! [X32] :
( ~ p105(X32)
| ~ p6(X32)
| ~ r1(X20,X32) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X33] :
( ~ p106(X33)
| p7(X33)
| ~ r1(X20,X33) ) )
& ( p7(X20)
| ! [X34] :
( ~ p106(X34)
| ~ p7(X34)
| ~ r1(X20,X34) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X35] :
( ~ p107(X35)
| p8(X35)
| ~ r1(X20,X35) ) )
& ( p8(X20)
| ! [X36] :
( ~ p107(X36)
| ~ p8(X36)
| ~ r1(X20,X36) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X37] :
( ~ p108(X37)
| p9(X37)
| ~ r1(X20,X37) ) )
& ( p9(X20)
| ! [X38] :
( ~ p108(X38)
| ~ p9(X38)
| ~ r1(X20,X38) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X39] :
( ~ p109(X39)
| p10(X39)
| ~ r1(X20,X39) ) )
& ( p10(X20)
| ! [X40] :
( ~ p109(X40)
| ~ p10(X40)
| ~ r1(X20,X40) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X41] :
( ~ p110(X41)
| p11(X41)
| ~ r1(X20,X41) ) )
& ( p11(X20)
| ! [X42] :
( ~ p110(X42)
| ~ p11(X42)
| ~ r1(X20,X42) ) ) ) )
& ( ~ p111(X20)
| ( ( ~ p12(X20)
| ! [X43] :
( ~ p111(X43)
| p12(X43)
| ~ r1(X20,X43) ) )
& ( p12(X20)
| ! [X44] :
( ~ p111(X44)
| ~ p12(X44)
| ~ r1(X20,X44) ) ) ) )
& ( ~ p112(X20)
| ( ( ~ p13(X20)
| ! [X45] :
( ~ p112(X45)
| p13(X45)
| ~ r1(X20,X45) ) )
& ( p13(X20)
| ! [X46] :
( ~ p112(X46)
| ~ p13(X46)
| ~ r1(X20,X46) ) ) ) )
& ( ~ p113(X20)
| ( ( ~ p14(X20)
| ! [X47] :
( ~ p113(X47)
| p14(X47)
| ~ r1(X20,X47) ) )
& ( p14(X20)
| ! [X48] :
( ~ p113(X48)
| ~ p14(X48)
| ~ r1(X20,X48) ) ) ) )
& ( ~ p114(X20)
| ( ( ~ p15(X20)
| ! [X49] :
( ~ p114(X49)
| p15(X49)
| ~ r1(X20,X49) ) )
& ( p15(X20)
| ! [X50] :
( ~ p114(X50)
| ~ p15(X50)
| ~ r1(X20,X50) ) ) ) )
& ( ~ p115(X20)
| ( ( ~ p16(X20)
| ! [X51] :
( ~ p115(X51)
| p16(X51)
| ~ r1(X20,X51) ) )
& ( p16(X20)
| ! [X52] :
( ~ p115(X52)
| ~ p16(X52)
| ~ r1(X20,X52) ) ) ) )
& ( ~ p116(X20)
| ( ( ~ p17(X20)
| ! [X53] :
( ~ p116(X53)
| p17(X53)
| ~ r1(X20,X53) ) )
& ( p17(X20)
| ! [X54] :
( ~ p116(X54)
| ~ p17(X54)
| ~ r1(X20,X54) ) ) ) )
& ( ~ p117(X20)
| ( ( ~ p18(X20)
| ! [X55] :
( ~ p117(X55)
| p18(X55)
| ~ r1(X20,X55) ) )
& ( p18(X20)
| ! [X56] :
( ~ p117(X56)
| ~ p18(X56)
| ~ r1(X20,X56) ) ) ) )
& ( ~ p118(X20)
| ( ( ~ p19(X20)
| ! [X57] :
( ~ p118(X57)
| p19(X57)
| ~ r1(X20,X57) ) )
& ( p19(X20)
| ! [X58] :
( ~ p118(X58)
| ~ p19(X58)
| ~ r1(X20,X58) ) ) ) )
& ( ~ p119(X20)
| ( ( ~ p20(X20)
| ! [X59] :
( ~ p119(X59)
| p20(X59)
| ~ r1(X20,X59) ) )
& ( p20(X20)
| ! [X60] :
( ~ p119(X60)
| ~ p20(X60)
| ~ r1(X20,X60) ) ) ) )
& ( ~ p120(X20)
| ( ( ~ p21(X20)
| ! [X61] :
( ~ p120(X61)
| p21(X61)
| ~ r1(X20,X61) ) )
& ( p21(X20)
| ! [X62] :
( ~ p120(X62)
| ~ p21(X62)
| ~ r1(X20,X62) ) ) ) )
& ( ~ ( p100(X20)
& ~ p101(X20) )
| ( ~ ! [X63] :
( ~ ( p101(X63)
& ~ p102(X63)
& p2(X63) )
| ~ r1(X20,X63) )
& ~ ! [X64] :
( ~ ( p101(X64)
& ~ p102(X64)
& ~ p2(X64) )
| ~ r1(X20,X64) ) ) )
& ( ~ ( p101(X20)
& ~ p102(X20) )
| ( ~ ! [X65] :
( ~ ( p102(X65)
& ~ p103(X65)
& p3(X65) )
| ~ r1(X20,X65) )
& ~ ! [X66] :
( ~ ( p102(X66)
& ~ p103(X66)
& ~ p3(X66) )
| ~ r1(X20,X66) ) ) )
& ( ~ ( p102(X20)
& ~ p103(X20) )
| ( ~ ! [X67] :
( ~ ( p103(X67)
& ~ p104(X67)
& p4(X67) )
| ~ r1(X20,X67) )
& ~ ! [X68] :
( ~ ( p103(X68)
& ~ p104(X68)
& ~ p4(X68) )
| ~ r1(X20,X68) ) ) )
& ( ~ ( p103(X20)
& ~ p104(X20) )
| ( ~ ! [X69] :
( ~ ( p104(X69)
& ~ p105(X69)
& p5(X69) )
| ~ r1(X20,X69) )
& ~ ! [X70] :
( ~ ( p104(X70)
& ~ p105(X70)
& ~ p5(X70) )
| ~ r1(X20,X70) ) ) )
& ( ~ ( p104(X20)
& ~ p105(X20) )
| ( ~ ! [X71] :
( ~ ( p105(X71)
& ~ p106(X71)
& p6(X71) )
| ~ r1(X20,X71) )
& ~ ! [X72] :
( ~ ( p105(X72)
& ~ p106(X72)
& ~ p6(X72) )
| ~ r1(X20,X72) ) ) )
& ( ~ ( p105(X20)
& ~ p106(X20) )
| ( ~ ! [X73] :
( ~ ( p106(X73)
& ~ p107(X73)
& p7(X73) )
| ~ r1(X20,X73) )
& ~ ! [X74] :
( ~ ( p106(X74)
& ~ p107(X74)
& ~ p7(X74) )
| ~ r1(X20,X74) ) ) )
& ( ~ ( p106(X20)
& ~ p107(X20) )
| ( ~ ! [X75] :
( ~ ( p107(X75)
& ~ p108(X75)
& p8(X75) )
| ~ r1(X20,X75) )
& ~ ! [X76] :
( ~ ( p107(X76)
& ~ p108(X76)
& ~ p8(X76) )
| ~ r1(X20,X76) ) ) )
& ( ~ ( p107(X20)
& ~ p108(X20) )
| ( ~ ! [X77] :
( ~ ( p108(X77)
& ~ p109(X77)
& p9(X77) )
| ~ r1(X20,X77) )
& ~ ! [X78] :
( ~ ( p108(X78)
& ~ p109(X78)
& ~ p9(X78) )
| ~ r1(X20,X78) ) ) )
& ( ~ ( p108(X20)
& ~ p109(X20) )
| ( ~ ! [X79] :
( ~ ( p109(X79)
& ~ p110(X79)
& p10(X79) )
| ~ r1(X20,X79) )
& ~ ! [X80] :
( ~ ( p109(X80)
& ~ p110(X80)
& ~ p10(X80) )
| ~ r1(X20,X80) ) ) )
& ( ~ ( p109(X20)
& ~ p110(X20) )
| ( ~ ! [X81] :
( ~ ( p110(X81)
& ~ p111(X81)
& p11(X81) )
| ~ r1(X20,X81) )
& ~ ! [X82] :
( ~ ( p110(X82)
& ~ p111(X82)
& ~ p11(X82) )
| ~ r1(X20,X82) ) ) )
& ( ~ ( p110(X20)
& ~ p111(X20) )
| ( ~ ! [X83] :
( ~ ( p111(X83)
& ~ p112(X83)
& p12(X83) )
| ~ r1(X20,X83) )
& ~ ! [X84] :
( ~ ( p111(X84)
& ~ p112(X84)
& ~ p12(X84) )
| ~ r1(X20,X84) ) ) )
& ( ~ ( p111(X20)
& ~ p112(X20) )
| ( ~ ! [X85] :
( ~ ( p112(X85)
& ~ p113(X85)
& p13(X85) )
| ~ r1(X20,X85) )
& ~ ! [X86] :
( ~ ( p112(X86)
& ~ p113(X86)
& ~ p13(X86) )
| ~ r1(X20,X86) ) ) )
& ( ~ ( p112(X20)
& ~ p113(X20) )
| ( ~ ! [X87] :
( ~ ( p113(X87)
& ~ p114(X87)
& p14(X87) )
| ~ r1(X20,X87) )
& ~ ! [X88] :
( ~ ( p113(X88)
& ~ p114(X88)
& ~ p14(X88) )
| ~ r1(X20,X88) ) ) )
& ( ~ ( p113(X20)
& ~ p114(X20) )
| ( ~ ! [X89] :
( ~ ( p114(X89)
& ~ p115(X89)
& p15(X89) )
| ~ r1(X20,X89) )
& ~ ! [X90] :
( ~ ( p114(X90)
& ~ p115(X90)
& ~ p15(X90) )
| ~ r1(X20,X90) ) ) )
& ( ~ ( p114(X20)
& ~ p115(X20) )
| ( ~ ! [X91] :
( ~ ( p115(X91)
& ~ p116(X91)
& p16(X91) )
| ~ r1(X20,X91) )
& ~ ! [X92] :
( ~ ( p115(X92)
& ~ p116(X92)
& ~ p16(X92) )
| ~ r1(X20,X92) ) ) )
& ( ~ ( p115(X20)
& ~ p116(X20) )
| ( ~ ! [X93] :
( ~ ( p116(X93)
& ~ p117(X93)
& p17(X93) )
| ~ r1(X20,X93) )
& ~ ! [X94] :
( ~ ( p116(X94)
& ~ p117(X94)
& ~ p17(X94) )
| ~ r1(X20,X94) ) ) )
& ( ~ ( p116(X20)
& ~ p117(X20) )
| ( ~ ! [X95] :
( ~ ( p117(X95)
& ~ p118(X95)
& p18(X95) )
| ~ r1(X20,X95) )
& ~ ! [X96] :
( ~ ( p117(X96)
& ~ p118(X96)
& ~ p18(X96) )
| ~ r1(X20,X96) ) ) )
& ( ~ ( p117(X20)
& ~ p118(X20) )
| ( ~ ! [X97] :
( ~ ( p118(X97)
& ~ p119(X97)
& p19(X97) )
| ~ r1(X20,X97) )
& ~ ! [X98] :
( ~ ( p118(X98)
& ~ p119(X98)
& ~ p19(X98) )
| ~ r1(X20,X98) ) ) )
& ( ~ ( p118(X20)
& ~ p119(X20) )
| ( ~ ! [X99] :
( ~ ( p119(X99)
& ~ p120(X99)
& p20(X99) )
| ~ r1(X20,X99) )
& ~ ! [X100] :
( ~ ( p119(X100)
& ~ p120(X100)
& ~ p20(X100) )
| ~ r1(X20,X100) ) ) )
& ( ~ ( p119(X20)
& ~ p120(X20) )
| ( ~ ! [X101] :
( ~ ( p120(X101)
& p21(X101) )
| ~ r1(X20,X101) )
& ~ ! [X102] :
( ~ ( p120(X102)
& ~ p21(X102) )
| ~ r1(X20,X102) ) ) ) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,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(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( p8(X122)
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X0,X103) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p112(X20)
| p111(X20) )
& ( ~ p113(X20)
| p112(X20) )
& ( ~ p114(X20)
| p113(X20) )
& ( ~ p115(X20)
| p114(X20) )
& ( ~ p116(X20)
| p115(X20) )
& ( ~ p117(X20)
| p116(X20) )
& ( ~ p118(X20)
| p117(X20) )
& ( ~ p119(X20)
| p118(X20) )
& ( ~ p120(X20)
| p119(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X21] :
( ~ p100(X21)
| p1(X21)
| ~ r1(X20,X21) ) )
& ( p1(X20)
| ! [X22] :
( ~ p100(X22)
| ~ p1(X22)
| ~ r1(X20,X22) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X23] :
( ~ p101(X23)
| p2(X23)
| ~ r1(X20,X23) ) )
& ( p2(X20)
| ! [X24] :
( ~ p101(X24)
| ~ p2(X24)
| ~ r1(X20,X24) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X25] :
( ~ p102(X25)
| p3(X25)
| ~ r1(X20,X25) ) )
& ( p3(X20)
| ! [X26] :
( ~ p102(X26)
| ~ p3(X26)
| ~ r1(X20,X26) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X27] :
( ~ p103(X27)
| p4(X27)
| ~ r1(X20,X27) ) )
& ( p4(X20)
| ! [X28] :
( ~ p103(X28)
| ~ p4(X28)
| ~ r1(X20,X28) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X29] :
( ~ p104(X29)
| p5(X29)
| ~ r1(X20,X29) ) )
& ( p5(X20)
| ! [X30] :
( ~ p104(X30)
| ~ p5(X30)
| ~ r1(X20,X30) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X31] :
( ~ p105(X31)
| p6(X31)
| ~ r1(X20,X31) ) )
& ( p6(X20)
| ! [X32] :
( ~ p105(X32)
| ~ p6(X32)
| ~ r1(X20,X32) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X33] :
( ~ p106(X33)
| p7(X33)
| ~ r1(X20,X33) ) )
& ( p7(X20)
| ! [X34] :
( ~ p106(X34)
| ~ p7(X34)
| ~ r1(X20,X34) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X35] :
( ~ p107(X35)
| p8(X35)
| ~ r1(X20,X35) ) )
& ( p8(X20)
| ! [X36] :
( ~ p107(X36)
| ~ p8(X36)
| ~ r1(X20,X36) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X37] :
( ~ p108(X37)
| p9(X37)
| ~ r1(X20,X37) ) )
& ( p9(X20)
| ! [X38] :
( ~ p108(X38)
| ~ p9(X38)
| ~ r1(X20,X38) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X39] :
( ~ p109(X39)
| p10(X39)
| ~ r1(X20,X39) ) )
& ( p10(X20)
| ! [X40] :
( ~ p109(X40)
| ~ p10(X40)
| ~ r1(X20,X40) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X41] :
( ~ p110(X41)
| p11(X41)
| ~ r1(X20,X41) ) )
& ( p11(X20)
| ! [X42] :
( ~ p110(X42)
| ~ p11(X42)
| ~ r1(X20,X42) ) ) ) )
& ( ~ p111(X20)
| ( ( ~ p12(X20)
| ! [X43] :
( ~ p111(X43)
| p12(X43)
| ~ r1(X20,X43) ) )
& ( p12(X20)
| ! [X44] :
( ~ p111(X44)
| ~ p12(X44)
| ~ r1(X20,X44) ) ) ) )
& ( ~ p112(X20)
| ( ( ~ p13(X20)
| ! [X45] :
( ~ p112(X45)
| p13(X45)
| ~ r1(X20,X45) ) )
& ( p13(X20)
| ! [X46] :
( ~ p112(X46)
| ~ p13(X46)
| ~ r1(X20,X46) ) ) ) )
& ( ~ p113(X20)
| ( ( ~ p14(X20)
| ! [X47] :
( ~ p113(X47)
| p14(X47)
| ~ r1(X20,X47) ) )
& ( p14(X20)
| ! [X48] :
( ~ p113(X48)
| ~ p14(X48)
| ~ r1(X20,X48) ) ) ) )
& ( ~ p114(X20)
| ( ( ~ p15(X20)
| ! [X49] :
( ~ p114(X49)
| p15(X49)
| ~ r1(X20,X49) ) )
& ( p15(X20)
| ! [X50] :
( ~ p114(X50)
| ~ p15(X50)
| ~ r1(X20,X50) ) ) ) )
& ( ~ p115(X20)
| ( ( ~ p16(X20)
| ! [X51] :
( ~ p115(X51)
| p16(X51)
| ~ r1(X20,X51) ) )
& ( p16(X20)
| ! [X52] :
( ~ p115(X52)
| ~ p16(X52)
| ~ r1(X20,X52) ) ) ) )
& ( ~ p116(X20)
| ( ( ~ p17(X20)
| ! [X53] :
( ~ p116(X53)
| p17(X53)
| ~ r1(X20,X53) ) )
& ( p17(X20)
| ! [X54] :
( ~ p116(X54)
| ~ p17(X54)
| ~ r1(X20,X54) ) ) ) )
& ( ~ p117(X20)
| ( ( ~ p18(X20)
| ! [X55] :
( ~ p117(X55)
| p18(X55)
| ~ r1(X20,X55) ) )
& ( p18(X20)
| ! [X56] :
( ~ p117(X56)
| ~ p18(X56)
| ~ r1(X20,X56) ) ) ) )
& ( ~ p118(X20)
| ( ( ~ p19(X20)
| ! [X57] :
( ~ p118(X57)
| p19(X57)
| ~ r1(X20,X57) ) )
& ( p19(X20)
| ! [X58] :
( ~ p118(X58)
| ~ p19(X58)
| ~ r1(X20,X58) ) ) ) )
& ( ~ p119(X20)
| ( ( ~ p20(X20)
| ! [X59] :
( ~ p119(X59)
| p20(X59)
| ~ r1(X20,X59) ) )
& ( p20(X20)
| ! [X60] :
( ~ p119(X60)
| ~ p20(X60)
| ~ r1(X20,X60) ) ) ) )
& ( ~ p120(X20)
| ( ( ~ p21(X20)
| ! [X61] :
( ~ p120(X61)
| p21(X61)
| ~ r1(X20,X61) ) )
& ( p21(X20)
| ! [X62] :
( ~ p120(X62)
| ~ p21(X62)
| ~ r1(X20,X62) ) ) ) )
& ( ~ p100(X20)
| p101(X20)
| ( ? [X63] :
( p101(X63)
& ~ p102(X63)
& p2(X63)
& r1(X20,X63) )
& ? [X64] :
( p101(X64)
& ~ p102(X64)
& ~ p2(X64)
& r1(X20,X64) ) ) )
& ( ~ p101(X20)
| p102(X20)
| ( ? [X65] :
( p102(X65)
& ~ p103(X65)
& p3(X65)
& r1(X20,X65) )
& ? [X66] :
( p102(X66)
& ~ p103(X66)
& ~ p3(X66)
& r1(X20,X66) ) ) )
& ( ~ p102(X20)
| p103(X20)
| ( ? [X67] :
( p103(X67)
& ~ p104(X67)
& p4(X67)
& r1(X20,X67) )
& ? [X68] :
( p103(X68)
& ~ p104(X68)
& ~ p4(X68)
& r1(X20,X68) ) ) )
& ( ~ p103(X20)
| p104(X20)
| ( ? [X69] :
( p104(X69)
& ~ p105(X69)
& p5(X69)
& r1(X20,X69) )
& ? [X70] :
( p104(X70)
& ~ p105(X70)
& ~ p5(X70)
& r1(X20,X70) ) ) )
& ( ~ p104(X20)
| p105(X20)
| ( ? [X71] :
( p105(X71)
& ~ p106(X71)
& p6(X71)
& r1(X20,X71) )
& ? [X72] :
( p105(X72)
& ~ p106(X72)
& ~ p6(X72)
& r1(X20,X72) ) ) )
& ( ~ p105(X20)
| p106(X20)
| ( ? [X73] :
( p106(X73)
& ~ p107(X73)
& p7(X73)
& r1(X20,X73) )
& ? [X74] :
( p106(X74)
& ~ p107(X74)
& ~ p7(X74)
& r1(X20,X74) ) ) )
& ( ~ p106(X20)
| p107(X20)
| ( ? [X75] :
( p107(X75)
& ~ p108(X75)
& p8(X75)
& r1(X20,X75) )
& ? [X76] :
( p107(X76)
& ~ p108(X76)
& ~ p8(X76)
& r1(X20,X76) ) ) )
& ( ~ p107(X20)
| p108(X20)
| ( ? [X77] :
( p108(X77)
& ~ p109(X77)
& p9(X77)
& r1(X20,X77) )
& ? [X78] :
( p108(X78)
& ~ p109(X78)
& ~ p9(X78)
& r1(X20,X78) ) ) )
& ( ~ p108(X20)
| p109(X20)
| ( ? [X79] :
( p109(X79)
& ~ p110(X79)
& p10(X79)
& r1(X20,X79) )
& ? [X80] :
( p109(X80)
& ~ p110(X80)
& ~ p10(X80)
& r1(X20,X80) ) ) )
& ( ~ p109(X20)
| p110(X20)
| ( ? [X81] :
( p110(X81)
& ~ p111(X81)
& p11(X81)
& r1(X20,X81) )
& ? [X82] :
( p110(X82)
& ~ p111(X82)
& ~ p11(X82)
& r1(X20,X82) ) ) )
& ( ~ p110(X20)
| p111(X20)
| ( ? [X83] :
( p111(X83)
& ~ p112(X83)
& p12(X83)
& r1(X20,X83) )
& ? [X84] :
( p111(X84)
& ~ p112(X84)
& ~ p12(X84)
& r1(X20,X84) ) ) )
& ( ~ p111(X20)
| p112(X20)
| ( ? [X85] :
( p112(X85)
& ~ p113(X85)
& p13(X85)
& r1(X20,X85) )
& ? [X86] :
( p112(X86)
& ~ p113(X86)
& ~ p13(X86)
& r1(X20,X86) ) ) )
& ( ~ p112(X20)
| p113(X20)
| ( ? [X87] :
( p113(X87)
& ~ p114(X87)
& p14(X87)
& r1(X20,X87) )
& ? [X88] :
( p113(X88)
& ~ p114(X88)
& ~ p14(X88)
& r1(X20,X88) ) ) )
& ( ~ p113(X20)
| p114(X20)
| ( ? [X89] :
( p114(X89)
& ~ p115(X89)
& p15(X89)
& r1(X20,X89) )
& ? [X90] :
( p114(X90)
& ~ p115(X90)
& ~ p15(X90)
& r1(X20,X90) ) ) )
& ( ~ p114(X20)
| p115(X20)
| ( ? [X91] :
( p115(X91)
& ~ p116(X91)
& p16(X91)
& r1(X20,X91) )
& ? [X92] :
( p115(X92)
& ~ p116(X92)
& ~ p16(X92)
& r1(X20,X92) ) ) )
& ( ~ p115(X20)
| p116(X20)
| ( ? [X93] :
( p116(X93)
& ~ p117(X93)
& p17(X93)
& r1(X20,X93) )
& ? [X94] :
( p116(X94)
& ~ p117(X94)
& ~ p17(X94)
& r1(X20,X94) ) ) )
& ( ~ p116(X20)
| p117(X20)
| ( ? [X95] :
( p117(X95)
& ~ p118(X95)
& p18(X95)
& r1(X20,X95) )
& ? [X96] :
( p117(X96)
& ~ p118(X96)
& ~ p18(X96)
& r1(X20,X96) ) ) )
& ( ~ p117(X20)
| p118(X20)
| ( ? [X97] :
( p118(X97)
& ~ p119(X97)
& p19(X97)
& r1(X20,X97) )
& ? [X98] :
( p118(X98)
& ~ p119(X98)
& ~ p19(X98)
& r1(X20,X98) ) ) )
& ( ~ p118(X20)
| p119(X20)
| ( ? [X99] :
( p119(X99)
& ~ p120(X99)
& p20(X99)
& r1(X20,X99) )
& ? [X100] :
( p119(X100)
& ~ p120(X100)
& ~ p20(X100)
& r1(X20,X100) ) ) )
& ( ~ p119(X20)
| p120(X20)
| ( ? [X101] :
( p120(X101)
& p21(X101)
& r1(X20,X101) )
& ? [X102] :
( p120(X102)
& ~ p21(X102)
& r1(X20,X102) ) ) ) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,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(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( p8(X122)
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X0,X103) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p112(X20)
| p111(X20) )
& ( ~ p113(X20)
| p112(X20) )
& ( ~ p114(X20)
| p113(X20) )
& ( ~ p115(X20)
| p114(X20) )
& ( ~ p116(X20)
| p115(X20) )
& ( ~ p117(X20)
| p116(X20) )
& ( ~ p118(X20)
| p117(X20) )
& ( ~ p119(X20)
| p118(X20) )
& ( ~ p120(X20)
| p119(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X21] :
( ~ p100(X21)
| p1(X21)
| ~ r1(X20,X21) ) )
& ( p1(X20)
| ! [X22] :
( ~ p100(X22)
| ~ p1(X22)
| ~ r1(X20,X22) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X23] :
( ~ p101(X23)
| p2(X23)
| ~ r1(X20,X23) ) )
& ( p2(X20)
| ! [X24] :
( ~ p101(X24)
| ~ p2(X24)
| ~ r1(X20,X24) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X25] :
( ~ p102(X25)
| p3(X25)
| ~ r1(X20,X25) ) )
& ( p3(X20)
| ! [X26] :
( ~ p102(X26)
| ~ p3(X26)
| ~ r1(X20,X26) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X27] :
( ~ p103(X27)
| p4(X27)
| ~ r1(X20,X27) ) )
& ( p4(X20)
| ! [X28] :
( ~ p103(X28)
| ~ p4(X28)
| ~ r1(X20,X28) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X29] :
( ~ p104(X29)
| p5(X29)
| ~ r1(X20,X29) ) )
& ( p5(X20)
| ! [X30] :
( ~ p104(X30)
| ~ p5(X30)
| ~ r1(X20,X30) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X31] :
( ~ p105(X31)
| p6(X31)
| ~ r1(X20,X31) ) )
& ( p6(X20)
| ! [X32] :
( ~ p105(X32)
| ~ p6(X32)
| ~ r1(X20,X32) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X33] :
( ~ p106(X33)
| p7(X33)
| ~ r1(X20,X33) ) )
& ( p7(X20)
| ! [X34] :
( ~ p106(X34)
| ~ p7(X34)
| ~ r1(X20,X34) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X35] :
( ~ p107(X35)
| p8(X35)
| ~ r1(X20,X35) ) )
& ( p8(X20)
| ! [X36] :
( ~ p107(X36)
| ~ p8(X36)
| ~ r1(X20,X36) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X37] :
( ~ p108(X37)
| p9(X37)
| ~ r1(X20,X37) ) )
& ( p9(X20)
| ! [X38] :
( ~ p108(X38)
| ~ p9(X38)
| ~ r1(X20,X38) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X39] :
( ~ p109(X39)
| p10(X39)
| ~ r1(X20,X39) ) )
& ( p10(X20)
| ! [X40] :
( ~ p109(X40)
| ~ p10(X40)
| ~ r1(X20,X40) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X41] :
( ~ p110(X41)
| p11(X41)
| ~ r1(X20,X41) ) )
& ( p11(X20)
| ! [X42] :
( ~ p110(X42)
| ~ p11(X42)
| ~ r1(X20,X42) ) ) ) )
& ( ~ p111(X20)
| ( ( ~ p12(X20)
| ! [X43] :
( ~ p111(X43)
| p12(X43)
| ~ r1(X20,X43) ) )
& ( p12(X20)
| ! [X44] :
( ~ p111(X44)
| ~ p12(X44)
| ~ r1(X20,X44) ) ) ) )
& ( ~ p112(X20)
| ( ( ~ p13(X20)
| ! [X45] :
( ~ p112(X45)
| p13(X45)
| ~ r1(X20,X45) ) )
& ( p13(X20)
| ! [X46] :
( ~ p112(X46)
| ~ p13(X46)
| ~ r1(X20,X46) ) ) ) )
& ( ~ p113(X20)
| ( ( ~ p14(X20)
| ! [X47] :
( ~ p113(X47)
| p14(X47)
| ~ r1(X20,X47) ) )
& ( p14(X20)
| ! [X48] :
( ~ p113(X48)
| ~ p14(X48)
| ~ r1(X20,X48) ) ) ) )
& ( ~ p114(X20)
| ( ( ~ p15(X20)
| ! [X49] :
( ~ p114(X49)
| p15(X49)
| ~ r1(X20,X49) ) )
& ( p15(X20)
| ! [X50] :
( ~ p114(X50)
| ~ p15(X50)
| ~ r1(X20,X50) ) ) ) )
& ( ~ p115(X20)
| ( ( ~ p16(X20)
| ! [X51] :
( ~ p115(X51)
| p16(X51)
| ~ r1(X20,X51) ) )
& ( p16(X20)
| ! [X52] :
( ~ p115(X52)
| ~ p16(X52)
| ~ r1(X20,X52) ) ) ) )
& ( ~ p116(X20)
| ( ( ~ p17(X20)
| ! [X53] :
( ~ p116(X53)
| p17(X53)
| ~ r1(X20,X53) ) )
& ( p17(X20)
| ! [X54] :
( ~ p116(X54)
| ~ p17(X54)
| ~ r1(X20,X54) ) ) ) )
& ( ~ p117(X20)
| ( ( ~ p18(X20)
| ! [X55] :
( ~ p117(X55)
| p18(X55)
| ~ r1(X20,X55) ) )
& ( p18(X20)
| ! [X56] :
( ~ p117(X56)
| ~ p18(X56)
| ~ r1(X20,X56) ) ) ) )
& ( ~ p118(X20)
| ( ( ~ p19(X20)
| ! [X57] :
( ~ p118(X57)
| p19(X57)
| ~ r1(X20,X57) ) )
& ( p19(X20)
| ! [X58] :
( ~ p118(X58)
| ~ p19(X58)
| ~ r1(X20,X58) ) ) ) )
& ( ~ p119(X20)
| ( ( ~ p20(X20)
| ! [X59] :
( ~ p119(X59)
| p20(X59)
| ~ r1(X20,X59) ) )
& ( p20(X20)
| ! [X60] :
( ~ p119(X60)
| ~ p20(X60)
| ~ r1(X20,X60) ) ) ) )
& ( ~ p120(X20)
| ( ( ~ p21(X20)
| ! [X61] :
( ~ p120(X61)
| p21(X61)
| ~ r1(X20,X61) ) )
& ( p21(X20)
| ! [X62] :
( ~ p120(X62)
| ~ p21(X62)
| ~ r1(X20,X62) ) ) ) )
& ( ~ p100(X20)
| p101(X20)
| ( ? [X63] :
( p101(X63)
& ~ p102(X63)
& p2(X63)
& r1(X20,X63) )
& ? [X64] :
( p101(X64)
& ~ p102(X64)
& ~ p2(X64)
& r1(X20,X64) ) ) )
& ( ~ p101(X20)
| p102(X20)
| ( ? [X65] :
( p102(X65)
& ~ p103(X65)
& p3(X65)
& r1(X20,X65) )
& ? [X66] :
( p102(X66)
& ~ p103(X66)
& ~ p3(X66)
& r1(X20,X66) ) ) )
& ( ~ p102(X20)
| p103(X20)
| ( ? [X67] :
( p103(X67)
& ~ p104(X67)
& p4(X67)
& r1(X20,X67) )
& ? [X68] :
( p103(X68)
& ~ p104(X68)
& ~ p4(X68)
& r1(X20,X68) ) ) )
& ( ~ p103(X20)
| p104(X20)
| ( ? [X69] :
( p104(X69)
& ~ p105(X69)
& p5(X69)
& r1(X20,X69) )
& ? [X70] :
( p104(X70)
& ~ p105(X70)
& ~ p5(X70)
& r1(X20,X70) ) ) )
& ( ~ p104(X20)
| p105(X20)
| ( ? [X71] :
( p105(X71)
& ~ p106(X71)
& p6(X71)
& r1(X20,X71) )
& ? [X72] :
( p105(X72)
& ~ p106(X72)
& ~ p6(X72)
& r1(X20,X72) ) ) )
& ( ~ p105(X20)
| p106(X20)
| ( ? [X73] :
( p106(X73)
& ~ p107(X73)
& p7(X73)
& r1(X20,X73) )
& ? [X74] :
( p106(X74)
& ~ p107(X74)
& ~ p7(X74)
& r1(X20,X74) ) ) )
& ( ~ p106(X20)
| p107(X20)
| ( ? [X75] :
( p107(X75)
& ~ p108(X75)
& p8(X75)
& r1(X20,X75) )
& ? [X76] :
( p107(X76)
& ~ p108(X76)
& ~ p8(X76)
& r1(X20,X76) ) ) )
& ( ~ p107(X20)
| p108(X20)
| ( ? [X77] :
( p108(X77)
& ~ p109(X77)
& p9(X77)
& r1(X20,X77) )
& ? [X78] :
( p108(X78)
& ~ p109(X78)
& ~ p9(X78)
& r1(X20,X78) ) ) )
& ( ~ p108(X20)
| p109(X20)
| ( ? [X79] :
( p109(X79)
& ~ p110(X79)
& p10(X79)
& r1(X20,X79) )
& ? [X80] :
( p109(X80)
& ~ p110(X80)
& ~ p10(X80)
& r1(X20,X80) ) ) )
& ( ~ p109(X20)
| p110(X20)
| ( ? [X81] :
( p110(X81)
& ~ p111(X81)
& p11(X81)
& r1(X20,X81) )
& ? [X82] :
( p110(X82)
& ~ p111(X82)
& ~ p11(X82)
& r1(X20,X82) ) ) )
& ( ~ p110(X20)
| p111(X20)
| ( ? [X83] :
( p111(X83)
& ~ p112(X83)
& p12(X83)
& r1(X20,X83) )
& ? [X84] :
( p111(X84)
& ~ p112(X84)
& ~ p12(X84)
& r1(X20,X84) ) ) )
& ( ~ p111(X20)
| p112(X20)
| ( ? [X85] :
( p112(X85)
& ~ p113(X85)
& p13(X85)
& r1(X20,X85) )
& ? [X86] :
( p112(X86)
& ~ p113(X86)
& ~ p13(X86)
& r1(X20,X86) ) ) )
& ( ~ p112(X20)
| p113(X20)
| ( ? [X87] :
( p113(X87)
& ~ p114(X87)
& p14(X87)
& r1(X20,X87) )
& ? [X88] :
( p113(X88)
& ~ p114(X88)
& ~ p14(X88)
& r1(X20,X88) ) ) )
& ( ~ p113(X20)
| p114(X20)
| ( ? [X89] :
( p114(X89)
& ~ p115(X89)
& p15(X89)
& r1(X20,X89) )
& ? [X90] :
( p114(X90)
& ~ p115(X90)
& ~ p15(X90)
& r1(X20,X90) ) ) )
& ( ~ p114(X20)
| p115(X20)
| ( ? [X91] :
( p115(X91)
& ~ p116(X91)
& p16(X91)
& r1(X20,X91) )
& ? [X92] :
( p115(X92)
& ~ p116(X92)
& ~ p16(X92)
& r1(X20,X92) ) ) )
& ( ~ p115(X20)
| p116(X20)
| ( ? [X93] :
( p116(X93)
& ~ p117(X93)
& p17(X93)
& r1(X20,X93) )
& ? [X94] :
( p116(X94)
& ~ p117(X94)
& ~ p17(X94)
& r1(X20,X94) ) ) )
& ( ~ p116(X20)
| p117(X20)
| ( ? [X95] :
( p117(X95)
& ~ p118(X95)
& p18(X95)
& r1(X20,X95) )
& ? [X96] :
( p117(X96)
& ~ p118(X96)
& ~ p18(X96)
& r1(X20,X96) ) ) )
& ( ~ p117(X20)
| p118(X20)
| ( ? [X97] :
( p118(X97)
& ~ p119(X97)
& p19(X97)
& r1(X20,X97) )
& ? [X98] :
( p118(X98)
& ~ p119(X98)
& ~ p19(X98)
& r1(X20,X98) ) ) )
& ( ~ p118(X20)
| p119(X20)
| ( ? [X99] :
( p119(X99)
& ~ p120(X99)
& p20(X99)
& r1(X20,X99) )
& ? [X100] :
( p119(X100)
& ~ p120(X100)
& ~ p20(X100)
& r1(X20,X100) ) ) )
& ( ~ p119(X20)
| p120(X20)
| ( ? [X101] :
( p120(X101)
& p21(X101)
& r1(X20,X101) )
& ? [X102] :
( p120(X102)
& ~ p21(X102)
& r1(X20,X102) ) ) ) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,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(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( p8(X122)
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X0,X103) ) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
! [X20] :
( ~ p118(X20)
| p119(X20)
| ( ? [X99] :
( p119(X99)
& ~ p120(X99)
& p20(X99)
& r1(X20,X99) )
& ? [X100] :
( p119(X100)
& ~ p120(X100)
& ~ p20(X100)
& r1(X20,X100) ) )
| ~ sP0(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X20] :
( ~ p117(X20)
| p118(X20)
| ( ? [X97] :
( p118(X97)
& ~ p119(X97)
& p19(X97)
& r1(X20,X97) )
& ? [X98] :
( p118(X98)
& ~ p119(X98)
& ~ p19(X98)
& r1(X20,X98) ) )
| ~ sP1(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X20] :
( ~ p116(X20)
| p117(X20)
| ( ? [X95] :
( p117(X95)
& ~ p118(X95)
& p18(X95)
& r1(X20,X95) )
& ? [X96] :
( p117(X96)
& ~ p118(X96)
& ~ p18(X96)
& r1(X20,X96) ) )
| ~ sP2(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X20] :
( ~ p115(X20)
| p116(X20)
| ( ? [X93] :
( p116(X93)
& ~ p117(X93)
& p17(X93)
& r1(X20,X93) )
& ? [X94] :
( p116(X94)
& ~ p117(X94)
& ~ p17(X94)
& r1(X20,X94) ) )
| ~ sP3(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X20] :
( ~ p114(X20)
| p115(X20)
| ( ? [X91] :
( p115(X91)
& ~ p116(X91)
& p16(X91)
& r1(X20,X91) )
& ? [X92] :
( p115(X92)
& ~ p116(X92)
& ~ p16(X92)
& r1(X20,X92) ) )
| ~ sP4(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X20] :
( ~ p113(X20)
| p114(X20)
| ( ? [X89] :
( p114(X89)
& ~ p115(X89)
& p15(X89)
& r1(X20,X89) )
& ? [X90] :
( p114(X90)
& ~ p115(X90)
& ~ p15(X90)
& r1(X20,X90) ) )
| ~ sP5(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
! [X20] :
( ~ p112(X20)
| p113(X20)
| ( ? [X87] :
( p113(X87)
& ~ p114(X87)
& p14(X87)
& r1(X20,X87) )
& ? [X88] :
( p113(X88)
& ~ p114(X88)
& ~ p14(X88)
& r1(X20,X88) ) )
| ~ sP6(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X20] :
( ~ p111(X20)
| p112(X20)
| ( ? [X85] :
( p112(X85)
& ~ p113(X85)
& p13(X85)
& r1(X20,X85) )
& ? [X86] :
( p112(X86)
& ~ p113(X86)
& ~ p13(X86)
& r1(X20,X86) ) )
| ~ sP7(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X20] :
( ~ p110(X20)
| p111(X20)
| ( ? [X83] :
( p111(X83)
& ~ p112(X83)
& p12(X83)
& r1(X20,X83) )
& ? [X84] :
( p111(X84)
& ~ p112(X84)
& ~ p12(X84)
& r1(X20,X84) ) )
| ~ sP8(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
! [X20] :
( ~ p109(X20)
| p110(X20)
| ( ? [X81] :
( p110(X81)
& ~ p111(X81)
& p11(X81)
& r1(X20,X81) )
& ? [X82] :
( p110(X82)
& ~ p111(X82)
& ~ p11(X82)
& r1(X20,X82) ) )
| ~ sP9(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
! [X20] :
( ~ p108(X20)
| p109(X20)
| ( ? [X79] :
( p109(X79)
& ~ p110(X79)
& p10(X79)
& r1(X20,X79) )
& ? [X80] :
( p109(X80)
& ~ p110(X80)
& ~ p10(X80)
& r1(X20,X80) ) )
| ~ sP10(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f20,plain,
! [X20] :
( ~ p107(X20)
| p108(X20)
| ( ? [X77] :
( p108(X77)
& ~ p109(X77)
& p9(X77)
& r1(X20,X77) )
& ? [X78] :
( p108(X78)
& ~ p109(X78)
& ~ p9(X78)
& r1(X20,X78) ) )
| ~ sP11(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f21,plain,
! [X20] :
( ~ p106(X20)
| p107(X20)
| ( ? [X75] :
( p107(X75)
& ~ p108(X75)
& p8(X75)
& r1(X20,X75) )
& ? [X76] :
( p107(X76)
& ~ p108(X76)
& ~ p8(X76)
& r1(X20,X76) ) )
| ~ sP12(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f22,plain,
! [X20] :
( ~ p105(X20)
| p106(X20)
| ( ? [X73] :
( p106(X73)
& ~ p107(X73)
& p7(X73)
& r1(X20,X73) )
& ? [X74] :
( p106(X74)
& ~ p107(X74)
& ~ p7(X74)
& r1(X20,X74) ) )
| ~ sP13(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f23,plain,
! [X20] :
( ~ p104(X20)
| p105(X20)
| ( ? [X71] :
( p105(X71)
& ~ p106(X71)
& p6(X71)
& r1(X20,X71) )
& ? [X72] :
( p105(X72)
& ~ p106(X72)
& ~ p6(X72)
& r1(X20,X72) ) )
| ~ sP14(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f24,plain,
! [X20] :
( ~ p103(X20)
| p104(X20)
| ( ? [X69] :
( p104(X69)
& ~ p105(X69)
& p5(X69)
& r1(X20,X69) )
& ? [X70] :
( p104(X70)
& ~ p105(X70)
& ~ p5(X70)
& r1(X20,X70) ) )
| ~ sP15(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f25,plain,
! [X20] :
( ~ p102(X20)
| p103(X20)
| ( ? [X67] :
( p103(X67)
& ~ p104(X67)
& p4(X67)
& r1(X20,X67) )
& ? [X68] :
( p103(X68)
& ~ p104(X68)
& ~ p4(X68)
& r1(X20,X68) ) )
| ~ sP16(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f26,plain,
! [X20] :
( ~ p101(X20)
| p102(X20)
| ( ? [X65] :
( p102(X65)
& ~ p103(X65)
& p3(X65)
& r1(X20,X65) )
& ? [X66] :
( p102(X66)
& ~ p103(X66)
& ~ p3(X66)
& r1(X20,X66) ) )
| ~ sP17(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f27,plain,
! [X20] :
( ~ p100(X20)
| p101(X20)
| ( ? [X63] :
( p101(X63)
& ~ p102(X63)
& p2(X63)
& r1(X20,X63) )
& ? [X64] :
( p101(X64)
& ~ p102(X64)
& ~ p2(X64)
& r1(X20,X64) ) )
| ~ sP18(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f28,plain,
! [X20] :
( ~ p119(X20)
| p120(X20)
| ( ? [X101] :
( p120(X101)
& p21(X101)
& r1(X20,X101) )
& ? [X102] :
( p120(X102)
& ~ p21(X102)
& r1(X20,X102) ) )
| ~ sP19(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f29,plain,
! [X20] :
( ~ p120(X20)
| ( ( ~ p21(X20)
| ! [X61] :
( ~ p120(X61)
| p21(X61)
| ~ r1(X20,X61) ) )
& ( p21(X20)
| ! [X62] :
( ~ p120(X62)
| ~ p21(X62)
| ~ r1(X20,X62) ) ) )
| ~ sP20(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f30,plain,
! [X20] :
( ~ p119(X20)
| ( ( ~ p20(X20)
| ! [X59] :
( ~ p119(X59)
| p20(X59)
| ~ r1(X20,X59) ) )
& ( p20(X20)
| ! [X60] :
( ~ p119(X60)
| ~ p20(X60)
| ~ r1(X20,X60) ) ) )
| ~ sP21(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f31,plain,
! [X20] :
( ~ p118(X20)
| ( ( ~ p19(X20)
| ! [X57] :
( ~ p118(X57)
| p19(X57)
| ~ r1(X20,X57) ) )
& ( p19(X20)
| ! [X58] :
( ~ p118(X58)
| ~ p19(X58)
| ~ r1(X20,X58) ) ) )
| ~ sP22(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f32,plain,
! [X20] :
( ~ p117(X20)
| ( ( ~ p18(X20)
| ! [X55] :
( ~ p117(X55)
| p18(X55)
| ~ r1(X20,X55) ) )
& ( p18(X20)
| ! [X56] :
( ~ p117(X56)
| ~ p18(X56)
| ~ r1(X20,X56) ) ) )
| ~ sP23(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f33,plain,
! [X20] :
( ~ p116(X20)
| ( ( ~ p17(X20)
| ! [X53] :
( ~ p116(X53)
| p17(X53)
| ~ r1(X20,X53) ) )
& ( p17(X20)
| ! [X54] :
( ~ p116(X54)
| ~ p17(X54)
| ~ r1(X20,X54) ) ) )
| ~ sP24(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f34,plain,
! [X20] :
( ~ p115(X20)
| ( ( ~ p16(X20)
| ! [X51] :
( ~ p115(X51)
| p16(X51)
| ~ r1(X20,X51) ) )
& ( p16(X20)
| ! [X52] :
( ~ p115(X52)
| ~ p16(X52)
| ~ r1(X20,X52) ) ) )
| ~ sP25(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f35,plain,
! [X20] :
( ~ p114(X20)
| ( ( ~ p15(X20)
| ! [X49] :
( ~ p114(X49)
| p15(X49)
| ~ r1(X20,X49) ) )
& ( p15(X20)
| ! [X50] :
( ~ p114(X50)
| ~ p15(X50)
| ~ r1(X20,X50) ) ) )
| ~ sP26(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f36,plain,
! [X20] :
( ~ p113(X20)
| ( ( ~ p14(X20)
| ! [X47] :
( ~ p113(X47)
| p14(X47)
| ~ r1(X20,X47) ) )
& ( p14(X20)
| ! [X48] :
( ~ p113(X48)
| ~ p14(X48)
| ~ r1(X20,X48) ) ) )
| ~ sP27(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f37,plain,
! [X20] :
( ~ p112(X20)
| ( ( ~ p13(X20)
| ! [X45] :
( ~ p112(X45)
| p13(X45)
| ~ r1(X20,X45) ) )
& ( p13(X20)
| ! [X46] :
( ~ p112(X46)
| ~ p13(X46)
| ~ r1(X20,X46) ) ) )
| ~ sP28(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f38,plain,
! [X20] :
( ~ p111(X20)
| ( ( ~ p12(X20)
| ! [X43] :
( ~ p111(X43)
| p12(X43)
| ~ r1(X20,X43) ) )
& ( p12(X20)
| ! [X44] :
( ~ p111(X44)
| ~ p12(X44)
| ~ r1(X20,X44) ) ) )
| ~ sP29(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f39,plain,
! [X20] :
( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X41] :
( ~ p110(X41)
| p11(X41)
| ~ r1(X20,X41) ) )
& ( p11(X20)
| ! [X42] :
( ~ p110(X42)
| ~ p11(X42)
| ~ r1(X20,X42) ) ) )
| ~ sP30(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f40,plain,
! [X20] :
( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X39] :
( ~ p109(X39)
| p10(X39)
| ~ r1(X20,X39) ) )
& ( p10(X20)
| ! [X40] :
( ~ p109(X40)
| ~ p10(X40)
| ~ r1(X20,X40) ) ) )
| ~ sP31(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f41,plain,
! [X20] :
( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X37] :
( ~ p108(X37)
| p9(X37)
| ~ r1(X20,X37) ) )
& ( p9(X20)
| ! [X38] :
( ~ p108(X38)
| ~ p9(X38)
| ~ r1(X20,X38) ) ) )
| ~ sP32(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f42,plain,
! [X20] :
( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X35] :
( ~ p107(X35)
| p8(X35)
| ~ r1(X20,X35) ) )
& ( p8(X20)
| ! [X36] :
( ~ p107(X36)
| ~ p8(X36)
| ~ r1(X20,X36) ) ) )
| ~ sP33(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f43,plain,
! [X20] :
( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X33] :
( ~ p106(X33)
| p7(X33)
| ~ r1(X20,X33) ) )
& ( p7(X20)
| ! [X34] :
( ~ p106(X34)
| ~ p7(X34)
| ~ r1(X20,X34) ) ) )
| ~ sP34(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f44,plain,
! [X20] :
( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X31] :
( ~ p105(X31)
| p6(X31)
| ~ r1(X20,X31) ) )
& ( p6(X20)
| ! [X32] :
( ~ p105(X32)
| ~ p6(X32)
| ~ r1(X20,X32) ) ) )
| ~ sP35(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f45,plain,
! [X20] :
( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X29] :
( ~ p104(X29)
| p5(X29)
| ~ r1(X20,X29) ) )
& ( p5(X20)
| ! [X30] :
( ~ p104(X30)
| ~ p5(X30)
| ~ r1(X20,X30) ) ) )
| ~ sP36(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f46,plain,
! [X20] :
( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X27] :
( ~ p103(X27)
| p4(X27)
| ~ r1(X20,X27) ) )
& ( p4(X20)
| ! [X28] :
( ~ p103(X28)
| ~ p4(X28)
| ~ r1(X20,X28) ) ) )
| ~ sP37(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f47,plain,
! [X20] :
( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X25] :
( ~ p102(X25)
| p3(X25)
| ~ r1(X20,X25) ) )
& ( p3(X20)
| ! [X26] :
( ~ p102(X26)
| ~ p3(X26)
| ~ r1(X20,X26) ) ) )
| ~ sP38(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f48,plain,
! [X20] :
( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X23] :
( ~ p101(X23)
| p2(X23)
| ~ r1(X20,X23) ) )
& ( p2(X20)
| ! [X24] :
( ~ p101(X24)
| ~ p2(X24)
| ~ r1(X20,X24) ) ) )
| ~ sP39(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f49,plain,
! [X20] :
( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X21] :
( ~ p100(X21)
| p1(X21)
| ~ r1(X20,X21) ) )
& ( p1(X20)
| ! [X22] :
( ~ p100(X22)
| ~ p1(X22)
| ~ r1(X20,X22) ) ) )
| ~ sP40(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f50,plain,
! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p112(X20)
| p111(X20) )
& ( ~ p113(X20)
| p112(X20) )
& ( ~ p114(X20)
| p113(X20) )
& ( ~ p115(X20)
| p114(X20) )
& ( ~ p116(X20)
| p115(X20) )
& ( ~ p117(X20)
| p116(X20) )
& ( ~ p118(X20)
| p117(X20) )
& ( ~ p119(X20)
| p118(X20) )
& ( ~ p120(X20)
| p119(X20) )
& sP40(X20)
& sP39(X20)
& sP38(X20)
& sP37(X20)
& sP36(X20)
& sP35(X20)
& sP34(X20)
& sP33(X20)
& sP32(X20)
& sP31(X20)
& sP30(X20)
& sP29(X20)
& sP28(X20)
& sP27(X20)
& sP26(X20)
& sP25(X20)
& sP24(X20)
& sP23(X20)
& sP22(X20)
& sP21(X20)
& sP20(X20)
& sP18(X20)
& sP17(X20)
& sP16(X20)
& sP15(X20)
& sP14(X20)
& sP13(X20)
& sP12(X20)
& sP11(X20)
& sP10(X20)
& sP9(X20)
& sP8(X20)
& sP7(X20)
& sP6(X20)
& sP5(X20)
& sP4(X20)
& sP3(X20)
& sP2(X20)
& sP1(X20)
& sP0(X20)
& sP19(X20) )
| ~ sP41(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f51,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( sP41(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,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(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( p8(X122)
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X0,X103) ) ),
inference(definition_folding,[],[f8,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f52,plain,
! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p112(X20)
| p111(X20) )
& ( ~ p113(X20)
| p112(X20) )
& ( ~ p114(X20)
| p113(X20) )
& ( ~ p115(X20)
| p114(X20) )
& ( ~ p116(X20)
| p115(X20) )
& ( ~ p117(X20)
| p116(X20) )
& ( ~ p118(X20)
| p117(X20) )
& ( ~ p119(X20)
| p118(X20) )
& ( ~ p120(X20)
| p119(X20) )
& sP40(X20)
& sP39(X20)
& sP38(X20)
& sP37(X20)
& sP36(X20)
& sP35(X20)
& sP34(X20)
& sP33(X20)
& sP32(X20)
& sP31(X20)
& sP30(X20)
& sP29(X20)
& sP28(X20)
& sP27(X20)
& sP26(X20)
& sP25(X20)
& sP24(X20)
& sP23(X20)
& sP22(X20)
& sP21(X20)
& sP20(X20)
& sP18(X20)
& sP17(X20)
& sP16(X20)
& sP15(X20)
& sP14(X20)
& sP13(X20)
& sP12(X20)
& sP11(X20)
& sP10(X20)
& sP9(X20)
& sP8(X20)
& sP7(X20)
& sP6(X20)
& sP5(X20)
& sP4(X20)
& sP3(X20)
& sP2(X20)
& sP1(X20)
& sP0(X20)
& sP19(X20) )
| ~ sP41(X20) ),
inference(nnf_transformation,[],[f50]) ).
fof(f53,plain,
! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p106(X0)
| p105(X0) )
& ( ~ p107(X0)
| p106(X0) )
& ( ~ p108(X0)
| p107(X0) )
& ( ~ p109(X0)
| p108(X0) )
& ( ~ p110(X0)
| p109(X0) )
& ( ~ p111(X0)
| p110(X0) )
& ( ~ p112(X0)
| p111(X0) )
& ( ~ p113(X0)
| p112(X0) )
& ( ~ p114(X0)
| p113(X0) )
& ( ~ p115(X0)
| p114(X0) )
& ( ~ p116(X0)
| p115(X0) )
& ( ~ p117(X0)
| p116(X0) )
& ( ~ p118(X0)
| p117(X0) )
& ( ~ p119(X0)
| p118(X0) )
& ( ~ p120(X0)
| p119(X0) )
& sP40(X0)
& sP39(X0)
& sP38(X0)
& sP37(X0)
& sP36(X0)
& sP35(X0)
& sP34(X0)
& sP33(X0)
& sP32(X0)
& sP31(X0)
& sP30(X0)
& sP29(X0)
& sP28(X0)
& sP27(X0)
& sP26(X0)
& sP25(X0)
& sP24(X0)
& sP23(X0)
& sP22(X0)
& sP21(X0)
& sP20(X0)
& sP18(X0)
& sP17(X0)
& sP16(X0)
& sP15(X0)
& sP14(X0)
& sP13(X0)
& sP12(X0)
& sP11(X0)
& sP10(X0)
& sP9(X0)
& sP8(X0)
& sP7(X0)
& sP6(X0)
& sP5(X0)
& sP4(X0)
& sP3(X0)
& sP2(X0)
& sP1(X0)
& sP0(X0)
& sP19(X0) )
| ~ sP41(X0) ),
inference(rectify,[],[f52]) ).
fof(f101,plain,
! [X20] :
( ~ p100(X20)
| p101(X20)
| ( ? [X63] :
( p101(X63)
& ~ p102(X63)
& p2(X63)
& r1(X20,X63) )
& ? [X64] :
( p101(X64)
& ~ p102(X64)
& ~ p2(X64)
& r1(X20,X64) ) )
| ~ sP18(X20) ),
inference(nnf_transformation,[],[f27]) ).
fof(f102,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
& ? [X2] :
( p101(X2)
& ~ p102(X2)
& ~ p2(X2)
& r1(X0,X2) ) )
| ~ sP18(X0) ),
inference(rectify,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
=> ( p101(sK44(X0))
& ~ p102(sK44(X0))
& p2(sK44(X0))
& r1(X0,sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ? [X2] :
( p101(X2)
& ~ p102(X2)
& ~ p2(X2)
& r1(X0,X2) )
=> ( p101(sK45(X0))
& ~ p102(sK45(X0))
& ~ p2(sK45(X0))
& r1(X0,sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( p101(sK44(X0))
& ~ p102(sK44(X0))
& p2(sK44(X0))
& r1(X0,sK44(X0))
& p101(sK45(X0))
& ~ p102(sK45(X0))
& ~ p2(sK45(X0))
& r1(X0,sK45(X0)) )
| ~ sP18(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45])],[f102,f104,f103]) ).
fof(f106,plain,
! [X20] :
( ~ p101(X20)
| p102(X20)
| ( ? [X65] :
( p102(X65)
& ~ p103(X65)
& p3(X65)
& r1(X20,X65) )
& ? [X66] :
( p102(X66)
& ~ p103(X66)
& ~ p3(X66)
& r1(X20,X66) ) )
| ~ sP17(X20) ),
inference(nnf_transformation,[],[f26]) ).
fof(f107,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
& ? [X2] :
( p102(X2)
& ~ p103(X2)
& ~ p3(X2)
& r1(X0,X2) ) )
| ~ sP17(X0) ),
inference(rectify,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
=> ( p102(sK46(X0))
& ~ p103(sK46(X0))
& p3(sK46(X0))
& r1(X0,sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X0] :
( ? [X2] :
( p102(X2)
& ~ p103(X2)
& ~ p3(X2)
& r1(X0,X2) )
=> ( p102(sK47(X0))
& ~ p103(sK47(X0))
& ~ p3(sK47(X0))
& r1(X0,sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( p102(sK46(X0))
& ~ p103(sK46(X0))
& p3(sK46(X0))
& r1(X0,sK46(X0))
& p102(sK47(X0))
& ~ p103(sK47(X0))
& ~ p3(sK47(X0))
& r1(X0,sK47(X0)) )
| ~ sP17(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47])],[f107,f109,f108]) ).
fof(f111,plain,
! [X20] :
( ~ p102(X20)
| p103(X20)
| ( ? [X67] :
( p103(X67)
& ~ p104(X67)
& p4(X67)
& r1(X20,X67) )
& ? [X68] :
( p103(X68)
& ~ p104(X68)
& ~ p4(X68)
& r1(X20,X68) ) )
| ~ sP16(X20) ),
inference(nnf_transformation,[],[f25]) ).
fof(f112,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
& ? [X2] :
( p103(X2)
& ~ p104(X2)
& ~ p4(X2)
& r1(X0,X2) ) )
| ~ sP16(X0) ),
inference(rectify,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
=> ( p103(sK48(X0))
& ~ p104(sK48(X0))
& p4(sK48(X0))
& r1(X0,sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0] :
( ? [X2] :
( p103(X2)
& ~ p104(X2)
& ~ p4(X2)
& r1(X0,X2) )
=> ( p103(sK49(X0))
& ~ p104(sK49(X0))
& ~ p4(sK49(X0))
& r1(X0,sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ( p103(sK48(X0))
& ~ p104(sK48(X0))
& p4(sK48(X0))
& r1(X0,sK48(X0))
& p103(sK49(X0))
& ~ p104(sK49(X0))
& ~ p4(sK49(X0))
& r1(X0,sK49(X0)) )
| ~ sP16(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49])],[f112,f114,f113]) ).
fof(f116,plain,
! [X20] :
( ~ p103(X20)
| p104(X20)
| ( ? [X69] :
( p104(X69)
& ~ p105(X69)
& p5(X69)
& r1(X20,X69) )
& ? [X70] :
( p104(X70)
& ~ p105(X70)
& ~ p5(X70)
& r1(X20,X70) ) )
| ~ sP15(X20) ),
inference(nnf_transformation,[],[f24]) ).
fof(f117,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ( ? [X1] :
( p104(X1)
& ~ p105(X1)
& p5(X1)
& r1(X0,X1) )
& ? [X2] :
( p104(X2)
& ~ p105(X2)
& ~ p5(X2)
& r1(X0,X2) ) )
| ~ sP15(X0) ),
inference(rectify,[],[f116]) ).
fof(f118,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& p5(X1)
& r1(X0,X1) )
=> ( p104(sK50(X0))
& ~ p105(sK50(X0))
& p5(sK50(X0))
& r1(X0,sK50(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0] :
( ? [X2] :
( p104(X2)
& ~ p105(X2)
& ~ p5(X2)
& r1(X0,X2) )
=> ( p104(sK51(X0))
& ~ p105(sK51(X0))
& ~ p5(sK51(X0))
& r1(X0,sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ( p104(sK50(X0))
& ~ p105(sK50(X0))
& p5(sK50(X0))
& r1(X0,sK50(X0))
& p104(sK51(X0))
& ~ p105(sK51(X0))
& ~ p5(sK51(X0))
& r1(X0,sK51(X0)) )
| ~ sP15(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50,sK51])],[f117,f119,f118]) ).
fof(f121,plain,
! [X20] :
( ~ p104(X20)
| p105(X20)
| ( ? [X71] :
( p105(X71)
& ~ p106(X71)
& p6(X71)
& r1(X20,X71) )
& ? [X72] :
( p105(X72)
& ~ p106(X72)
& ~ p6(X72)
& r1(X20,X72) ) )
| ~ sP14(X20) ),
inference(nnf_transformation,[],[f23]) ).
fof(f122,plain,
! [X0] :
( ~ p104(X0)
| p105(X0)
| ( ? [X1] :
( p105(X1)
& ~ p106(X1)
& p6(X1)
& r1(X0,X1) )
& ? [X2] :
( p105(X2)
& ~ p106(X2)
& ~ p6(X2)
& r1(X0,X2) ) )
| ~ sP14(X0) ),
inference(rectify,[],[f121]) ).
fof(f123,plain,
! [X0] :
( ? [X1] :
( p105(X1)
& ~ p106(X1)
& p6(X1)
& r1(X0,X1) )
=> ( p105(sK52(X0))
& ~ p106(sK52(X0))
& p6(sK52(X0))
& r1(X0,sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0] :
( ? [X2] :
( p105(X2)
& ~ p106(X2)
& ~ p6(X2)
& r1(X0,X2) )
=> ( p105(sK53(X0))
& ~ p106(sK53(X0))
& ~ p6(sK53(X0))
& r1(X0,sK53(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0] :
( ~ p104(X0)
| p105(X0)
| ( p105(sK52(X0))
& ~ p106(sK52(X0))
& p6(sK52(X0))
& r1(X0,sK52(X0))
& p105(sK53(X0))
& ~ p106(sK53(X0))
& ~ p6(sK53(X0))
& r1(X0,sK53(X0)) )
| ~ sP14(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52,sK53])],[f122,f124,f123]) ).
fof(f126,plain,
! [X20] :
( ~ p105(X20)
| p106(X20)
| ( ? [X73] :
( p106(X73)
& ~ p107(X73)
& p7(X73)
& r1(X20,X73) )
& ? [X74] :
( p106(X74)
& ~ p107(X74)
& ~ p7(X74)
& r1(X20,X74) ) )
| ~ sP13(X20) ),
inference(nnf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( ~ p105(X0)
| p106(X0)
| ( ? [X1] :
( p106(X1)
& ~ p107(X1)
& p7(X1)
& r1(X0,X1) )
& ? [X2] :
( p106(X2)
& ~ p107(X2)
& ~ p7(X2)
& r1(X0,X2) ) )
| ~ sP13(X0) ),
inference(rectify,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ? [X1] :
( p106(X1)
& ~ p107(X1)
& p7(X1)
& r1(X0,X1) )
=> ( p106(sK54(X0))
& ~ p107(sK54(X0))
& p7(sK54(X0))
& r1(X0,sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ? [X2] :
( p106(X2)
& ~ p107(X2)
& ~ p7(X2)
& r1(X0,X2) )
=> ( p106(sK55(X0))
& ~ p107(sK55(X0))
& ~ p7(sK55(X0))
& r1(X0,sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0] :
( ~ p105(X0)
| p106(X0)
| ( p106(sK54(X0))
& ~ p107(sK54(X0))
& p7(sK54(X0))
& r1(X0,sK54(X0))
& p106(sK55(X0))
& ~ p107(sK55(X0))
& ~ p7(sK55(X0))
& r1(X0,sK55(X0)) )
| ~ sP13(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55])],[f127,f129,f128]) ).
fof(f131,plain,
! [X20] :
( ~ p106(X20)
| p107(X20)
| ( ? [X75] :
( p107(X75)
& ~ p108(X75)
& p8(X75)
& r1(X20,X75) )
& ? [X76] :
( p107(X76)
& ~ p108(X76)
& ~ p8(X76)
& r1(X20,X76) ) )
| ~ sP12(X20) ),
inference(nnf_transformation,[],[f21]) ).
fof(f132,plain,
! [X0] :
( ~ p106(X0)
| p107(X0)
| ( ? [X1] :
( p107(X1)
& ~ p108(X1)
& p8(X1)
& r1(X0,X1) )
& ? [X2] :
( p107(X2)
& ~ p108(X2)
& ~ p8(X2)
& r1(X0,X2) ) )
| ~ sP12(X0) ),
inference(rectify,[],[f131]) ).
fof(f133,plain,
! [X0] :
( ? [X1] :
( p107(X1)
& ~ p108(X1)
& p8(X1)
& r1(X0,X1) )
=> ( p107(sK56(X0))
& ~ p108(sK56(X0))
& p8(sK56(X0))
& r1(X0,sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0] :
( ? [X2] :
( p107(X2)
& ~ p108(X2)
& ~ p8(X2)
& r1(X0,X2) )
=> ( p107(sK57(X0))
& ~ p108(sK57(X0))
& ~ p8(sK57(X0))
& r1(X0,sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0] :
( ~ p106(X0)
| p107(X0)
| ( p107(sK56(X0))
& ~ p108(sK56(X0))
& p8(sK56(X0))
& r1(X0,sK56(X0))
& p107(sK57(X0))
& ~ p108(sK57(X0))
& ~ p8(sK57(X0))
& r1(X0,sK57(X0)) )
| ~ sP12(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56,sK57])],[f132,f134,f133]) ).
fof(f196,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( sP41(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,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(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( p8(X40)
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X0,X21) ) ),
inference(rectify,[],[f51]) ).
fof(f197,plain,
( ? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( sP41(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,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(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( p8(X40)
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X0,X21) ) )
=> ( p100(sK82)
& ~ p101(sK82)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( sP41(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,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(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK82,X1) )
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( p8(X40)
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(sK82,X21) ) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
( p100(sK82)
& ~ p101(sK82)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( sP41(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,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(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK82,X1) )
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( p8(X40)
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(sK82,X21) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK82])],[f196,f197]) ).
fof(f199,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f213,plain,
! [X0] :
( sP12(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f214,plain,
! [X0] :
( sP13(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f215,plain,
! [X0] :
( sP14(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f216,plain,
! [X0] :
( sP15(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f217,plain,
! [X0] :
( sP16(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f218,plain,
! [X0] :
( sP17(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f219,plain,
! [X0] :
( sP18(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f313,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| r1(X0,sK44(X0))
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f315,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ~ p102(sK44(X0))
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f316,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| p101(sK44(X0))
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f321,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| r1(X0,sK46(X0))
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f323,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ~ p103(sK46(X0))
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f324,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| p102(sK46(X0))
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f325,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| r1(X0,sK49(X0))
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f327,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ~ p104(sK49(X0))
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f328,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| p103(sK49(X0))
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f333,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| r1(X0,sK51(X0))
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f335,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ~ p105(sK51(X0))
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f336,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| p104(sK51(X0))
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f345,plain,
! [X0] :
( ~ p104(X0)
| p105(X0)
| r1(X0,sK52(X0))
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f347,plain,
! [X0] :
( ~ p104(X0)
| p105(X0)
| ~ p106(sK52(X0))
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f348,plain,
! [X0] :
( ~ p104(X0)
| p105(X0)
| p105(sK52(X0))
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f349,plain,
! [X0] :
( ~ p105(X0)
| p106(X0)
| r1(X0,sK55(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f351,plain,
! [X0] :
( ~ p105(X0)
| p106(X0)
| ~ p107(sK55(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f352,plain,
! [X0] :
( ~ p105(X0)
| p106(X0)
| p106(sK55(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f357,plain,
! [X0] :
( ~ p106(X0)
| p107(X0)
| r1(X0,sK57(X0))
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f358,plain,
! [X0] :
( ~ p106(X0)
| p107(X0)
| ~ p8(sK57(X0))
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f461,plain,
! [X22,X40,X38,X31,X39,X29,X36,X28,X21,X37,X26,X27,X34,X24,X35,X25,X32,X30,X33,X23] :
( p8(X40)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(X35,X36)
| ~ r1(X34,X35)
| ~ r1(X33,X34)
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(X30,X31)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(X27,X28)
| ~ r1(X26,X27)
| ~ r1(X25,X26)
| ~ r1(X24,X25)
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(sK82,X21) ),
inference(cnf_transformation,[],[f198]) ).
fof(f462,plain,
! [X2,X3,X10,X11,X18,X8,X19,X9,X16,X14,X7,X6,X4,X1,X17,X15,X5,X12,X13,X20] :
( sP41(X20)
| ~ r1(X19,X20)
| ~ r1(X18,X19)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,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(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK82,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f463,plain,
~ p101(sK82),
inference(cnf_transformation,[],[f198]) ).
fof(f464,plain,
p100(sK82),
inference(cnf_transformation,[],[f198]) ).
cnf(c_49,plain,
r1(X0,X0),
inference(cnf_transformation,[],[f199]) ).
cnf(c_91,plain,
( ~ sP41(X0)
| sP18(X0) ),
inference(cnf_transformation,[],[f219]) ).
cnf(c_92,plain,
( ~ sP41(X0)
| sP17(X0) ),
inference(cnf_transformation,[],[f218]) ).
cnf(c_93,plain,
( ~ sP41(X0)
| sP16(X0) ),
inference(cnf_transformation,[],[f217]) ).
cnf(c_94,plain,
( ~ sP41(X0)
| sP15(X0) ),
inference(cnf_transformation,[],[f216]) ).
cnf(c_95,plain,
( ~ sP41(X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f215]) ).
cnf(c_96,plain,
( ~ sP41(X0)
| sP13(X0) ),
inference(cnf_transformation,[],[f214]) ).
cnf(c_97,plain,
( ~ sP41(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_159,plain,
( ~ p100(X0)
| ~ sP18(X0)
| p101(sK44(X0))
| p101(X0) ),
inference(cnf_transformation,[],[f316]) ).
cnf(c_160,plain,
( ~ p102(sK44(X0))
| ~ p100(X0)
| ~ sP18(X0)
| p101(X0) ),
inference(cnf_transformation,[],[f315]) ).
cnf(c_162,plain,
( ~ p100(X0)
| ~ sP18(X0)
| r1(X0,sK44(X0))
| p101(X0) ),
inference(cnf_transformation,[],[f313]) ).
cnf(c_167,plain,
( ~ p101(X0)
| ~ sP17(X0)
| p102(sK46(X0))
| p102(X0) ),
inference(cnf_transformation,[],[f324]) ).
cnf(c_168,plain,
( ~ p103(sK46(X0))
| ~ p101(X0)
| ~ sP17(X0)
| p102(X0) ),
inference(cnf_transformation,[],[f323]) ).
cnf(c_170,plain,
( ~ p101(X0)
| ~ sP17(X0)
| r1(X0,sK46(X0))
| p102(X0) ),
inference(cnf_transformation,[],[f321]) ).
cnf(c_179,plain,
( ~ p102(X0)
| ~ sP16(X0)
| p103(sK49(X0))
| p103(X0) ),
inference(cnf_transformation,[],[f328]) ).
cnf(c_180,plain,
( ~ p104(sK49(X0))
| ~ p102(X0)
| ~ sP16(X0)
| p103(X0) ),
inference(cnf_transformation,[],[f327]) ).
cnf(c_182,plain,
( ~ p102(X0)
| ~ sP16(X0)
| r1(X0,sK49(X0))
| p103(X0) ),
inference(cnf_transformation,[],[f325]) ).
cnf(c_187,plain,
( ~ p103(X0)
| ~ sP15(X0)
| p104(sK51(X0))
| p104(X0) ),
inference(cnf_transformation,[],[f336]) ).
cnf(c_188,plain,
( ~ p105(sK51(X0))
| ~ p103(X0)
| ~ sP15(X0)
| p104(X0) ),
inference(cnf_transformation,[],[f335]) ).
cnf(c_190,plain,
( ~ p103(X0)
| ~ sP15(X0)
| r1(X0,sK51(X0))
| p104(X0) ),
inference(cnf_transformation,[],[f333]) ).
cnf(c_191,plain,
( ~ p104(X0)
| ~ sP14(X0)
| p105(sK52(X0))
| p105(X0) ),
inference(cnf_transformation,[],[f348]) ).
cnf(c_192,plain,
( ~ p106(sK52(X0))
| ~ p104(X0)
| ~ sP14(X0)
| p105(X0) ),
inference(cnf_transformation,[],[f347]) ).
cnf(c_194,plain,
( ~ p104(X0)
| ~ sP14(X0)
| r1(X0,sK52(X0))
| p105(X0) ),
inference(cnf_transformation,[],[f345]) ).
cnf(c_203,plain,
( ~ p105(X0)
| ~ sP13(X0)
| p106(sK55(X0))
| p106(X0) ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_204,plain,
( ~ p107(sK55(X0))
| ~ p105(X0)
| ~ sP13(X0)
| p106(X0) ),
inference(cnf_transformation,[],[f351]) ).
cnf(c_206,plain,
( ~ p105(X0)
| ~ sP13(X0)
| r1(X0,sK55(X0))
| p106(X0) ),
inference(cnf_transformation,[],[f349]) ).
cnf(c_213,plain,
( ~ p8(sK57(X0))
| ~ p106(X0)
| ~ sP12(X0)
| p107(X0) ),
inference(cnf_transformation,[],[f358]) ).
cnf(c_214,plain,
( ~ p106(X0)
| ~ sP12(X0)
| r1(X0,sK57(X0))
| p107(X0) ),
inference(cnf_transformation,[],[f357]) ).
cnf(c_311,negated_conjecture,
p100(sK82),
inference(cnf_transformation,[],[f464]) ).
cnf(c_312,negated_conjecture,
~ p101(sK82),
inference(cnf_transformation,[],[f463]) ).
cnf(c_313,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X19)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(X19,X18)
| ~ r1(sK82,X0)
| sP41(X4) ),
inference(cnf_transformation,[],[f462]) ).
cnf(c_314,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(X19,X18)
| ~ r1(sK82,X19)
| p8(X1) ),
inference(cnf_transformation,[],[f461]) ).
cnf(c_315,plain,
r1(sK82,sK82),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_335,plain,
( ~ sP41(sK82)
| sP18(sK82) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_429,plain,
( ~ p100(sK82)
| ~ sP18(sK82)
| p101(sK44(sK82))
| p101(sK82) ),
inference(instantiation,[status(thm)],[c_159]) ).
cnf(c_521,plain,
( ~ p100(sK82)
| ~ sP18(sK82)
| r1(sK82,sK44(sK82))
| p101(sK82) ),
inference(instantiation,[status(thm)],[c_162]) ).
cnf(c_522,plain,
( ~ p102(sK44(sK82))
| ~ p100(sK82)
| ~ sP18(sK82)
| p101(sK82) ),
inference(instantiation,[status(thm)],[c_160]) ).
cnf(c_527,plain,
( ~ r1(sK82,sK82)
| sP41(sK82) ),
inference(instantiation,[status(thm)],[c_313]) ).
cnf(c_3974,plain,
( ~ p101(X0)
| ~ sP41(X0)
| r1(X0,sK46(X0))
| p102(X0) ),
inference(resolution,[status(thm)],[c_92,c_170]) ).
cnf(c_4000,plain,
( ~ p103(sK46(X0))
| ~ p101(X0)
| ~ sP41(X0)
| p102(X0) ),
inference(resolution,[status(thm)],[c_92,c_168]) ).
cnf(c_4013,plain,
( ~ p101(X0)
| ~ sP41(X0)
| p102(sK46(X0))
| p102(X0) ),
inference(resolution,[status(thm)],[c_92,c_167]) ).
cnf(c_4058,plain,
( ~ sP41(X0)
| ~ p102(X0)
| r1(X0,sK49(X0))
| p103(X0) ),
inference(resolution,[status(thm)],[c_93,c_182]) ).
cnf(c_4086,plain,
( ~ p104(sK49(X0))
| ~ sP41(X0)
| ~ p102(X0)
| p103(X0) ),
inference(resolution,[status(thm)],[c_93,c_180]) ).
cnf(c_4100,plain,
( ~ sP41(X0)
| ~ p102(X0)
| p103(sK49(X0))
| p103(X0) ),
inference(resolution,[status(thm)],[c_93,c_179]) ).
cnf(c_4202,plain,
( ~ sP41(X0)
| ~ p103(X0)
| r1(X0,sK51(X0))
| p104(X0) ),
inference(resolution,[status(thm)],[c_94,c_190]) ).
cnf(c_4230,plain,
( ~ p105(sK51(X0))
| ~ sP41(X0)
| ~ p103(X0)
| p104(X0) ),
inference(resolution,[status(thm)],[c_94,c_188]) ).
cnf(c_4244,plain,
( ~ sP41(X0)
| ~ p103(X0)
| p104(sK51(X0))
| p104(X0) ),
inference(resolution,[status(thm)],[c_94,c_187]) ).
cnf(c_4402,plain,
( ~ sP41(X0)
| ~ p104(X0)
| r1(X0,sK52(X0))
| p105(X0) ),
inference(resolution,[status(thm)],[c_95,c_194]) ).
cnf(c_4430,plain,
( ~ p106(sK52(X0))
| ~ sP41(X0)
| ~ p104(X0)
| p105(X0) ),
inference(resolution,[status(thm)],[c_95,c_192]) ).
cnf(c_4444,plain,
( ~ sP41(X0)
| ~ p104(X0)
| p105(sK52(X0))
| p105(X0) ),
inference(resolution,[status(thm)],[c_95,c_191]) ).
cnf(c_4490,plain,
( ~ sP41(X0)
| ~ p105(X0)
| r1(X0,sK55(X0))
| p106(X0) ),
inference(resolution,[status(thm)],[c_96,c_206]) ).
cnf(c_4518,plain,
( ~ p107(sK55(X0))
| ~ sP41(X0)
| ~ p105(X0)
| p106(X0) ),
inference(resolution,[status(thm)],[c_96,c_204]) ).
cnf(c_4532,plain,
( ~ sP41(X0)
| ~ p105(X0)
| p106(sK55(X0))
| p106(X0) ),
inference(resolution,[status(thm)],[c_96,c_203]) ).
cnf(c_4634,plain,
( ~ sP41(X0)
| ~ p106(X0)
| r1(X0,sK57(X0))
| p107(X0) ),
inference(resolution,[status(thm)],[c_97,c_214]) ).
cnf(c_4648,plain,
( ~ p8(sK57(X0))
| ~ sP41(X0)
| ~ p106(X0)
| p107(X0) ),
inference(resolution,[status(thm)],[c_97,c_213]) ).
cnf(c_8469,plain,
( ~ p103(sK46(sK44(sK82)))
| ~ p101(sK44(sK82))
| ~ sP41(sK44(sK82))
| p102(sK44(sK82)) ),
inference(instantiation,[status(thm)],[c_4000]) ).
cnf(c_8470,plain,
( ~ p101(sK44(sK82))
| ~ sP41(sK44(sK82))
| r1(sK44(sK82),sK46(sK44(sK82)))
| p102(sK44(sK82)) ),
inference(instantiation,[status(thm)],[c_3974]) ).
cnf(c_8485,plain,
( ~ p104(sK49(sK46(sK44(sK82))))
| ~ sP41(sK46(sK44(sK82)))
| ~ p102(sK46(sK44(sK82)))
| p103(sK46(sK44(sK82))) ),
inference(instantiation,[status(thm)],[c_4086]) ).
cnf(c_8487,plain,
( ~ sP41(sK46(sK44(sK82)))
| ~ p102(sK46(sK44(sK82)))
| r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| p103(sK46(sK44(sK82))) ),
inference(instantiation,[status(thm)],[c_4058]) ).
cnf(c_8495,plain,
( ~ r1(X0,sK44(sK82))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X18)
| ~ r1(X6,X0)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(sK82,X1)
| sP41(sK44(sK82)) ),
inference(instantiation,[status(thm)],[c_313]) ).
cnf(c_8496,plain,
( ~ r1(sK82,sK44(sK82))
| ~ r1(sK82,sK82)
| sP41(sK44(sK82)) ),
inference(instantiation,[status(thm)],[c_8495]) ).
cnf(c_8547,plain,
( ~ p101(sK44(sK82))
| ~ sP41(sK44(sK82))
| p102(sK46(sK44(sK82)))
| p102(sK44(sK82)) ),
inference(instantiation,[status(thm)],[c_4013]) ).
cnf(c_8548,plain,
( ~ r1(X0,sK46(sK44(sK82)))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X18)
| ~ r1(X6,X0)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(sK82,X1)
| sP41(sK46(sK44(sK82))) ),
inference(instantiation,[status(thm)],[c_313]) ).
cnf(c_8558,plain,
( ~ p105(sK51(sK49(sK46(sK44(sK82)))))
| ~ sP41(sK49(sK46(sK44(sK82))))
| ~ p103(sK49(sK46(sK44(sK82))))
| p104(sK49(sK46(sK44(sK82)))) ),
inference(instantiation,[status(thm)],[c_4230]) ).
cnf(c_8560,plain,
( ~ sP41(sK49(sK46(sK44(sK82))))
| ~ p103(sK49(sK46(sK44(sK82))))
| r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| p104(sK49(sK46(sK44(sK82)))) ),
inference(instantiation,[status(thm)],[c_4202]) ).
cnf(c_8731,plain,
( ~ r1(sK44(sK82),sK46(sK44(sK82)))
| ~ r1(X0,sK44(sK82))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X17)
| ~ r1(X8,X0)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(sK82,X1)
| sP41(sK46(sK44(sK82))) ),
inference(instantiation,[status(thm)],[c_8548]) ).
cnf(c_8732,plain,
( ~ r1(sK44(sK82),sK46(sK44(sK82)))
| ~ r1(sK82,sK44(sK82))
| ~ r1(sK82,sK82)
| sP41(sK46(sK44(sK82))) ),
inference(instantiation,[status(thm)],[c_8731]) ).
cnf(c_8753,plain,
( ~ sP41(sK46(sK44(sK82)))
| ~ p102(sK46(sK44(sK82)))
| p103(sK49(sK46(sK44(sK82))))
| p103(sK46(sK44(sK82))) ),
inference(instantiation,[status(thm)],[c_4100]) ).
cnf(c_8791,plain,
( ~ r1(X0,sK49(sK46(sK44(sK82))))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X18)
| ~ r1(X6,X0)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(sK82,X1)
| sP41(sK49(sK46(sK44(sK82)))) ),
inference(instantiation,[status(thm)],[c_313]) ).
cnf(c_9762,plain,
( ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(X0,sK46(sK44(sK82)))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X17)
| ~ r1(X8,X0)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(sK82,X1)
| sP41(sK49(sK46(sK44(sK82)))) ),
inference(instantiation,[status(thm)],[c_8791]) ).
cnf(c_9807,plain,
( ~ p106(sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ sP41(sK51(sK49(sK46(sK44(sK82)))))
| ~ p104(sK51(sK49(sK46(sK44(sK82)))))
| p105(sK51(sK49(sK46(sK44(sK82))))) ),
inference(instantiation,[status(thm)],[c_4430]) ).
cnf(c_9808,plain,
( ~ sP41(sK51(sK49(sK46(sK44(sK82)))))
| ~ p104(sK51(sK49(sK46(sK44(sK82)))))
| r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| p105(sK51(sK49(sK46(sK44(sK82))))) ),
inference(instantiation,[status(thm)],[c_4402]) ).
cnf(c_10201,plain,
( ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(sK44(sK82),sK46(sK44(sK82)))
| ~ r1(X0,sK44(sK82))
| ~ 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,X16)
| ~ r1(X10,X0)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(sK82,X1)
| sP41(sK49(sK46(sK44(sK82)))) ),
inference(instantiation,[status(thm)],[c_9762]) ).
cnf(c_10202,plain,
( ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(sK44(sK82),sK46(sK44(sK82)))
| ~ r1(sK82,sK44(sK82))
| ~ r1(sK82,sK82)
| sP41(sK49(sK46(sK44(sK82)))) ),
inference(instantiation,[status(thm)],[c_10201]) ).
cnf(c_10521,plain,
( ~ sP41(sK49(sK46(sK44(sK82))))
| ~ p103(sK49(sK46(sK44(sK82))))
| p104(sK51(sK49(sK46(sK44(sK82)))))
| p104(sK49(sK46(sK44(sK82)))) ),
inference(instantiation,[status(thm)],[c_4244]) ).
cnf(c_10797,plain,
( ~ r1(X0,sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X18)
| ~ r1(X6,X0)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(sK82,X1)
| sP41(sK51(sK49(sK46(sK44(sK82))))) ),
inference(instantiation,[status(thm)],[c_313]) ).
cnf(c_11952,plain,
( ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(X0,sK49(sK46(sK44(sK82))))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X17)
| ~ r1(X8,X0)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(sK82,X1)
| sP41(sK51(sK49(sK46(sK44(sK82))))) ),
inference(instantiation,[status(thm)],[c_10797]) ).
cnf(c_12139,plain,
( ~ p107(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ sP41(sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ p105(sK52(sK51(sK49(sK46(sK44(sK82))))))
| p106(sK52(sK51(sK49(sK46(sK44(sK82)))))) ),
inference(instantiation,[status(thm)],[c_4518]) ).
cnf(c_12141,plain,
( ~ sP41(sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ p105(sK52(sK51(sK49(sK46(sK44(sK82))))))
| r1(sK52(sK51(sK49(sK46(sK44(sK82))))),sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| p106(sK52(sK51(sK49(sK46(sK44(sK82)))))) ),
inference(instantiation,[status(thm)],[c_4490]) ).
cnf(c_13241,plain,
( ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(X0,sK46(sK44(sK82)))
| ~ 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,X16)
| ~ r1(X10,X0)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(sK82,X1)
| sP41(sK51(sK49(sK46(sK44(sK82))))) ),
inference(instantiation,[status(thm)],[c_11952]) ).
cnf(c_13461,plain,
( ~ sP41(sK51(sK49(sK46(sK44(sK82)))))
| ~ p104(sK51(sK49(sK46(sK44(sK82)))))
| p105(sK52(sK51(sK49(sK46(sK44(sK82))))))
| p105(sK51(sK49(sK46(sK44(sK82))))) ),
inference(instantiation,[status(thm)],[c_4444]) ).
cnf(c_18145,plain,
( ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(sK44(sK82),sK46(sK44(sK82)))
| ~ r1(X0,sK44(sK82))
| ~ 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)
| ~ r1(X10,X11)
| ~ r1(X11,X15)
| ~ r1(X12,X0)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(sK82,X1)
| sP41(sK51(sK49(sK46(sK44(sK82))))) ),
inference(instantiation,[status(thm)],[c_13241]) ).
cnf(c_18146,plain,
( ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(sK44(sK82),sK46(sK44(sK82)))
| ~ r1(sK82,sK44(sK82))
| ~ r1(sK82,sK82)
| sP41(sK51(sK49(sK46(sK44(sK82))))) ),
inference(instantiation,[status(thm)],[c_18145]) ).
cnf(c_18512,plain,
( ~ p8(sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))))
| ~ sP41(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ p106(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| p107(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))) ),
inference(instantiation,[status(thm)],[c_4648]) ).
cnf(c_18513,plain,
( ~ sP41(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ p106(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| r1(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))),sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))))
| p107(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))) ),
inference(instantiation,[status(thm)],[c_4634]) ).
cnf(c_18543,plain,
( ~ r1(X0,sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X18)
| ~ r1(X6,X0)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(sK82,X1)
| sP41(sK52(sK51(sK49(sK46(sK44(sK82)))))) ),
inference(instantiation,[status(thm)],[c_313]) ).
cnf(c_21678,plain,
( ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(X0,sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X17)
| ~ r1(X8,X0)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(sK82,X1)
| sP41(sK52(sK51(sK49(sK46(sK44(sK82)))))) ),
inference(instantiation,[status(thm)],[c_18543]) ).
cnf(c_23561,plain,
( ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(X0,sK49(sK46(sK44(sK82))))
| ~ 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,X16)
| ~ r1(X10,X0)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(sK82,X1)
| sP41(sK52(sK51(sK49(sK46(sK44(sK82)))))) ),
inference(instantiation,[status(thm)],[c_21678]) ).
cnf(c_23592,plain,
( ~ sP41(sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ p105(sK52(sK51(sK49(sK46(sK44(sK82))))))
| p106(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| p106(sK52(sK51(sK49(sK46(sK44(sK82)))))) ),
inference(instantiation,[status(thm)],[c_4532]) ).
cnf(c_26941,plain,
( ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(X0,sK46(sK44(sK82)))
| ~ 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)
| ~ r1(X10,X11)
| ~ r1(X11,X15)
| ~ r1(X12,X0)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(sK82,X1)
| sP41(sK52(sK51(sK49(sK46(sK44(sK82)))))) ),
inference(instantiation,[status(thm)],[c_23561]) ).
cnf(c_28914,plain,
( ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(sK44(sK82),sK46(sK44(sK82)))
| ~ r1(X0,sK44(sK82))
| ~ 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)
| ~ r1(X10,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| ~ r1(X14,X0)
| ~ r1(sK82,X1)
| sP41(sK52(sK51(sK49(sK46(sK44(sK82)))))) ),
inference(instantiation,[status(thm)],[c_26941]) ).
cnf(c_28915,plain,
( ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(sK44(sK82),sK46(sK44(sK82)))
| ~ r1(sK82,sK44(sK82))
| ~ r1(sK82,sK82)
| sP41(sK52(sK51(sK49(sK46(sK44(sK82)))))) ),
inference(instantiation,[status(thm)],[c_28914]) ).
cnf(c_33191,plain,
( ~ r1(X0,sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X18)
| ~ r1(X6,X0)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(sK82,X1)
| sP41(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))) ),
inference(instantiation,[status(thm)],[c_313]) ).
cnf(c_36151,plain,
( ~ r1(sK52(sK51(sK49(sK46(sK44(sK82))))),sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ r1(X0,sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X17)
| ~ r1(X8,X0)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(sK82,X1)
| sP41(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))) ),
inference(instantiation,[status(thm)],[c_33191]) ).
cnf(c_39923,plain,
( ~ r1(sK52(sK51(sK49(sK46(sK44(sK82))))),sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(X0,sK51(sK49(sK46(sK44(sK82)))))
| ~ 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,X16)
| ~ r1(X10,X0)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(sK82,X1)
| sP41(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))) ),
inference(instantiation,[status(thm)],[c_36151]) ).
cnf(c_43160,plain,
( ~ r1(sK52(sK51(sK49(sK46(sK44(sK82))))),sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(X0,sK49(sK46(sK44(sK82))))
| ~ 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)
| ~ r1(X10,X11)
| ~ r1(X11,X15)
| ~ r1(X12,X0)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(sK82,X1)
| sP41(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))) ),
inference(instantiation,[status(thm)],[c_39923]) ).
cnf(c_49339,plain,
( ~ r1(sK52(sK51(sK49(sK46(sK44(sK82))))),sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(X0,sK46(sK44(sK82)))
| ~ 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)
| ~ r1(X10,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| ~ r1(X14,X0)
| ~ r1(sK82,X1)
| sP41(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))) ),
inference(instantiation,[status(thm)],[c_43160]) ).
cnf(c_52873,plain,
( ~ r1(sK52(sK51(sK49(sK46(sK44(sK82))))),sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(sK44(sK82),sK46(sK44(sK82)))
| ~ r1(X0,sK44(sK82))
| ~ 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)
| ~ r1(X10,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X0)
| ~ r1(sK82,X1)
| sP41(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))) ),
inference(instantiation,[status(thm)],[c_49339]) ).
cnf(c_52874,plain,
( ~ r1(sK52(sK51(sK49(sK46(sK44(sK82))))),sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(sK44(sK82),sK46(sK44(sK82)))
| ~ r1(sK82,sK44(sK82))
| ~ r1(sK82,sK82)
| sP41(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))) ),
inference(instantiation,[status(thm)],[c_52873]) ).
cnf(c_55014,plain,
( ~ r1(X0,sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))))
| ~ r1(X1,X0)
| ~ 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(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(sK82,X18)
| p8(sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))) ),
inference(instantiation,[status(thm)],[c_314]) ).
cnf(c_60178,plain,
( ~ r1(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))),sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))))
| ~ r1(X0,sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ r1(X1,X0)
| ~ 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(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(sK82,X17)
| p8(sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))) ),
inference(instantiation,[status(thm)],[c_55014]) ).
cnf(c_62069,plain,
( ~ r1(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))),sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))))
| ~ r1(sK52(sK51(sK49(sK46(sK44(sK82))))),sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ r1(X0,sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(X1,X0)
| ~ 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(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(sK82,X16)
| p8(sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))) ),
inference(instantiation,[status(thm)],[c_60178]) ).
cnf(c_63641,plain,
( ~ r1(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))),sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))))
| ~ r1(sK52(sK51(sK49(sK46(sK44(sK82))))),sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(X0,sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(X1,X0)
| ~ 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(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(sK82,X15)
| p8(sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))) ),
inference(instantiation,[status(thm)],[c_62069]) ).
cnf(c_69937,plain,
( ~ r1(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))),sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))))
| ~ r1(sK52(sK51(sK49(sK46(sK44(sK82))))),sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(X0,sK49(sK46(sK44(sK82))))
| ~ r1(X1,X0)
| ~ 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(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(sK82,X14)
| p8(sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))) ),
inference(instantiation,[status(thm)],[c_63641]) ).
cnf(c_73176,plain,
( ~ r1(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))),sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))))
| ~ r1(sK52(sK51(sK49(sK46(sK44(sK82))))),sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(X0,sK46(sK44(sK82)))
| ~ r1(X1,X0)
| ~ 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(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(sK82,X13)
| p8(sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))) ),
inference(instantiation,[status(thm)],[c_69937]) ).
cnf(c_75709,plain,
( ~ r1(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))),sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))))
| ~ r1(sK52(sK51(sK49(sK46(sK44(sK82))))),sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(sK44(sK82),sK46(sK44(sK82)))
| ~ r1(X0,sK44(sK82))
| ~ r1(X1,X0)
| ~ 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(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(sK82,X12)
| p8(sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))) ),
inference(instantiation,[status(thm)],[c_73176]) ).
cnf(c_75710,plain,
( ~ r1(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))),sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82))))))))
| ~ r1(sK52(sK51(sK49(sK46(sK44(sK82))))),sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))
| ~ r1(sK51(sK49(sK46(sK44(sK82)))),sK52(sK51(sK49(sK46(sK44(sK82))))))
| ~ r1(sK49(sK46(sK44(sK82))),sK51(sK49(sK46(sK44(sK82)))))
| ~ r1(sK46(sK44(sK82)),sK49(sK46(sK44(sK82))))
| ~ r1(sK44(sK82),sK46(sK44(sK82)))
| ~ r1(sK82,sK44(sK82))
| ~ r1(sK82,sK82)
| p8(sK57(sK55(sK52(sK51(sK49(sK46(sK44(sK82)))))))) ),
inference(instantiation,[status(thm)],[c_75709]) ).
cnf(c_75711,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_75710,c_52874,c_28915,c_23592,c_18512,c_18513,c_18146,c_13461,c_12139,c_12141,c_10521,c_10202,c_9807,c_9808,c_8753,c_8732,c_8558,c_8560,c_8547,c_8496,c_8485,c_8487,c_8469,c_8470,c_527,c_522,c_521,c_429,c_335,c_315,c_312,c_311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL656+1.020 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 17:28:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 28.26/4.69 % SZS status Started for theBenchmark.p
% 28.26/4.69 % SZS status Theorem for theBenchmark.p
% 28.26/4.69
% 28.26/4.69 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 28.26/4.69
% 28.26/4.69 ------ iProver source info
% 28.26/4.69
% 28.26/4.69 git: date: 2023-05-31 18:12:56 +0000
% 28.26/4.69 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 28.26/4.69 git: non_committed_changes: false
% 28.26/4.69 git: last_make_outside_of_git: false
% 28.26/4.69
% 28.26/4.69 ------ Parsing...
% 28.26/4.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 28.26/4.69
% 28.26/4.69 ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 28.26/4.69
% 28.26/4.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 28.26/4.69 ------ Proving...
% 28.26/4.69 ------ Problem Properties
% 28.26/4.69
% 28.26/4.69
% 28.26/4.69 clauses 221
% 28.26/4.69 conjectures 3
% 28.26/4.69 EPR 63
% 28.26/4.69 Horn 126
% 28.26/4.69 unary 10
% 28.26/4.69 binary 0
% 28.26/4.69 lits 949
% 28.26/4.69 lits eq 0
% 28.26/4.69 fd_pure 0
% 28.26/4.69 fd_pseudo 0
% 28.26/4.69 fd_cond 0
% 28.26/4.69 fd_pseudo_cond 0
% 28.26/4.69 AC symbols 0
% 28.26/4.69
% 28.26/4.69 ------ Input Options Time Limit: Unbounded
% 28.26/4.69
% 28.26/4.69
% 28.26/4.69 ------
% 28.26/4.69 Current options:
% 28.26/4.69 ------
% 28.26/4.69
% 28.26/4.69
% 28.26/4.69
% 28.26/4.69
% 28.26/4.69 ------ Proving...
% 28.26/4.69
% 28.26/4.69
% 28.26/4.69 % SZS status Theorem for theBenchmark.p
% 28.26/4.69
% 28.26/4.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.26/4.69
% 28.26/4.69
%------------------------------------------------------------------------------