%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL656+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:07:41 PM UTC 2026
% Result : Theorem 149.61s 24.00s
% Output : CNFRefutation 173.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 44
% Syntax : Number of formulae : 227 ( 9 unt; 42 def)
% Number of atoms : 5788 ( 0 equ)
% Maximal formula atoms : 474 ( 25 avg)
% Number of connectives : 9295 (4136 ~;3206 |;1953 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 111 ( 15 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 88 ( 87 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-1 aty)
% Number of variables : 1781 ( 0 sgn1625 !; 156 ?; 595 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/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/sandbox/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,[status(cth)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ( ( ~ p101(X40)
| p100(X40) )
& ( ~ p102(X40)
| p101(X40) )
& ( ~ p103(X40)
| p102(X40) )
& ( ~ p104(X40)
| p103(X40) )
& ( ~ p105(X40)
| p104(X40) )
& ( ~ p106(X40)
| p105(X40) )
& ( ~ p107(X40)
| p106(X40) )
& ( ~ p108(X40)
| p107(X40) )
& ( ~ p109(X40)
| p108(X40) )
& ( ~ p110(X40)
| p109(X40) )
& ( ~ p111(X40)
| p110(X40) )
& ( ~ p112(X40)
| p111(X40) )
& ( ~ p113(X40)
| p112(X40) )
& ( ~ p114(X40)
| p113(X40) )
& ( ~ p115(X40)
| p114(X40) )
& ( ~ p116(X40)
| p115(X40) )
& ( ~ p117(X40)
| p116(X40) )
& ( ~ p118(X40)
| p117(X40) )
& ( ~ p119(X40)
| p118(X40) )
& ( ~ p120(X40)
| p119(X40) )
& ( ~ p121(X40)
| p120(X40) )
& ( ~ p100(X40)
| ( ( ~ p1(X40)
| ! [X122] :
( ~ p100(X122)
| p1(X122)
| ~ r1(X40,X122) ) )
& ( p1(X40)
| ! [X121] :
( ~ p100(X121)
| ~ p1(X121)
| ~ r1(X40,X121) ) ) ) )
& ( ~ p101(X40)
| ( ( ~ p2(X40)
| ! [X120] :
( ~ p101(X120)
| p2(X120)
| ~ r1(X40,X120) ) )
& ( p2(X40)
| ! [X119] :
( ~ p101(X119)
| ~ p2(X119)
| ~ r1(X40,X119) ) ) ) )
& ( ~ p102(X40)
| ( ( ~ p3(X40)
| ! [X118] :
( ~ p102(X118)
| p3(X118)
| ~ r1(X40,X118) ) )
& ( p3(X40)
| ! [X117] :
( ~ p102(X117)
| ~ p3(X117)
| ~ r1(X40,X117) ) ) ) )
& ( ~ p103(X40)
| ( ( ~ p4(X40)
| ! [X116] :
( ~ p103(X116)
| p4(X116)
| ~ r1(X40,X116) ) )
& ( p4(X40)
| ! [X115] :
( ~ p103(X115)
| ~ p4(X115)
| ~ r1(X40,X115) ) ) ) )
& ( ~ p104(X40)
| ( ( ~ p5(X40)
| ! [X114] :
( ~ p104(X114)
| p5(X114)
| ~ r1(X40,X114) ) )
& ( p5(X40)
| ! [X113] :
( ~ p104(X113)
| ~ p5(X113)
| ~ r1(X40,X113) ) ) ) )
& ( ~ p105(X40)
| ( ( ~ p6(X40)
| ! [X112] :
( ~ p105(X112)
| p6(X112)
| ~ r1(X40,X112) ) )
& ( p6(X40)
| ! [X111] :
( ~ p105(X111)
| ~ p6(X111)
| ~ r1(X40,X111) ) ) ) )
& ( ~ p106(X40)
| ( ( ~ p7(X40)
| ! [X110] :
( ~ p106(X110)
| p7(X110)
| ~ r1(X40,X110) ) )
& ( p7(X40)
| ! [X109] :
( ~ p106(X109)
| ~ p7(X109)
| ~ r1(X40,X109) ) ) ) )
& ( ~ p107(X40)
| ( ( ~ p8(X40)
| ! [X108] :
( ~ p107(X108)
| p8(X108)
| ~ r1(X40,X108) ) )
& ( p8(X40)
| ! [X107] :
( ~ p107(X107)
| ~ p8(X107)
| ~ r1(X40,X107) ) ) ) )
& ( ~ p108(X40)
| ( ( ~ p9(X40)
| ! [X106] :
( ~ p108(X106)
| p9(X106)
| ~ r1(X40,X106) ) )
& ( p9(X40)
| ! [X105] :
( ~ p108(X105)
| ~ p9(X105)
| ~ r1(X40,X105) ) ) ) )
& ( ~ p109(X40)
| ( ( ~ p10(X40)
| ! [X104] :
( ~ p109(X104)
| p10(X104)
| ~ r1(X40,X104) ) )
& ( p10(X40)
| ! [X103] :
( ~ p109(X103)
| ~ p10(X103)
| ~ r1(X40,X103) ) ) ) )
& ( ~ p110(X40)
| ( ( ~ p11(X40)
| ! [X102] :
( ~ p110(X102)
| p11(X102)
| ~ r1(X40,X102) ) )
& ( p11(X40)
| ! [X101] :
( ~ p110(X101)
| ~ p11(X101)
| ~ r1(X40,X101) ) ) ) )
& ( ~ p111(X40)
| ( ( ~ p12(X40)
| ! [X100] :
( ~ p111(X100)
| p12(X100)
| ~ r1(X40,X100) ) )
& ( p12(X40)
| ! [X99] :
( ~ p111(X99)
| ~ p12(X99)
| ~ r1(X40,X99) ) ) ) )
& ( ~ p112(X40)
| ( ( ~ p13(X40)
| ! [X98] :
( ~ p112(X98)
| p13(X98)
| ~ r1(X40,X98) ) )
& ( p13(X40)
| ! [X97] :
( ~ p112(X97)
| ~ p13(X97)
| ~ r1(X40,X97) ) ) ) )
& ( ~ p113(X40)
| ( ( ~ p14(X40)
| ! [X96] :
( ~ p113(X96)
| p14(X96)
| ~ r1(X40,X96) ) )
& ( p14(X40)
| ! [X95] :
( ~ p113(X95)
| ~ p14(X95)
| ~ r1(X40,X95) ) ) ) )
& ( ~ p114(X40)
| ( ( ~ p15(X40)
| ! [X94] :
( ~ p114(X94)
| p15(X94)
| ~ r1(X40,X94) ) )
& ( p15(X40)
| ! [X93] :
( ~ p114(X93)
| ~ p15(X93)
| ~ r1(X40,X93) ) ) ) )
& ( ~ p115(X40)
| ( ( ~ p16(X40)
| ! [X92] :
( ~ p115(X92)
| p16(X92)
| ~ r1(X40,X92) ) )
& ( p16(X40)
| ! [X91] :
( ~ p115(X91)
| ~ p16(X91)
| ~ r1(X40,X91) ) ) ) )
& ( ~ p116(X40)
| ( ( ~ p17(X40)
| ! [X90] :
( ~ p116(X90)
| p17(X90)
| ~ r1(X40,X90) ) )
& ( p17(X40)
| ! [X89] :
( ~ p116(X89)
| ~ p17(X89)
| ~ r1(X40,X89) ) ) ) )
& ( ~ p117(X40)
| ( ( ~ p18(X40)
| ! [X88] :
( ~ p117(X88)
| p18(X88)
| ~ r1(X40,X88) ) )
& ( p18(X40)
| ! [X87] :
( ~ p117(X87)
| ~ p18(X87)
| ~ r1(X40,X87) ) ) ) )
& ( ~ p118(X40)
| ( ( ~ p19(X40)
| ! [X86] :
( ~ p118(X86)
| p19(X86)
| ~ r1(X40,X86) ) )
& ( p19(X40)
| ! [X85] :
( ~ p118(X85)
| ~ p19(X85)
| ~ r1(X40,X85) ) ) ) )
& ( ~ p119(X40)
| ( ( ~ p20(X40)
| ! [X84] :
( ~ p119(X84)
| p20(X84)
| ~ r1(X40,X84) ) )
& ( p20(X40)
| ! [X83] :
( ~ p119(X83)
| ~ p20(X83)
| ~ r1(X40,X83) ) ) ) )
& ( ~ p120(X40)
| ( ( ~ p21(X40)
| ! [X82] :
( ~ p120(X82)
| p21(X82)
| ~ r1(X40,X82) ) )
& ( p21(X40)
| ! [X81] :
( ~ p120(X81)
| ~ p21(X81)
| ~ r1(X40,X81) ) ) ) )
& ( ~ ( p100(X40)
& ~ p101(X40) )
| ( ~ ! [X80] :
( ~ ( p101(X80)
& ~ p102(X80)
& p2(X80) )
| ~ r1(X40,X80) )
& ~ ! [X79] :
( ~ ( p101(X79)
& ~ p102(X79)
& ~ p2(X79) )
| ~ r1(X40,X79) ) ) )
& ( ~ ( p101(X40)
& ~ p102(X40) )
| ( ~ ! [X78] :
( ~ ( p102(X78)
& ~ p103(X78)
& p3(X78) )
| ~ r1(X40,X78) )
& ~ ! [X77] :
( ~ ( p102(X77)
& ~ p103(X77)
& ~ p3(X77) )
| ~ r1(X40,X77) ) ) )
& ( ~ ( p102(X40)
& ~ p103(X40) )
| ( ~ ! [X76] :
( ~ ( p103(X76)
& ~ p104(X76)
& p4(X76) )
| ~ r1(X40,X76) )
& ~ ! [X75] :
( ~ ( p103(X75)
& ~ p104(X75)
& ~ p4(X75) )
| ~ r1(X40,X75) ) ) )
& ( ~ ( p103(X40)
& ~ p104(X40) )
| ( ~ ! [X74] :
( ~ ( p104(X74)
& ~ p105(X74)
& p5(X74) )
| ~ r1(X40,X74) )
& ~ ! [X73] :
( ~ ( p104(X73)
& ~ p105(X73)
& ~ p5(X73) )
| ~ r1(X40,X73) ) ) )
& ( ~ ( p104(X40)
& ~ p105(X40) )
| ( ~ ! [X72] :
( ~ ( p105(X72)
& ~ p106(X72)
& p6(X72) )
| ~ r1(X40,X72) )
& ~ ! [X71] :
( ~ ( p105(X71)
& ~ p106(X71)
& ~ p6(X71) )
| ~ r1(X40,X71) ) ) )
& ( ~ ( p105(X40)
& ~ p106(X40) )
| ( ~ ! [X70] :
( ~ ( p106(X70)
& ~ p107(X70)
& p7(X70) )
| ~ r1(X40,X70) )
& ~ ! [X69] :
( ~ ( p106(X69)
& ~ p107(X69)
& ~ p7(X69) )
| ~ r1(X40,X69) ) ) )
& ( ~ ( p106(X40)
& ~ p107(X40) )
| ( ~ ! [X68] :
( ~ ( p107(X68)
& ~ p108(X68)
& p8(X68) )
| ~ r1(X40,X68) )
& ~ ! [X67] :
( ~ ( p107(X67)
& ~ p108(X67)
& ~ p8(X67) )
| ~ r1(X40,X67) ) ) )
& ( ~ ( p107(X40)
& ~ p108(X40) )
| ( ~ ! [X66] :
( ~ ( p108(X66)
& ~ p109(X66)
& p9(X66) )
| ~ r1(X40,X66) )
& ~ ! [X65] :
( ~ ( p108(X65)
& ~ p109(X65)
& ~ p9(X65) )
| ~ r1(X40,X65) ) ) )
& ( ~ ( p108(X40)
& ~ p109(X40) )
| ( ~ ! [X64] :
( ~ ( p109(X64)
& ~ p110(X64)
& p10(X64) )
| ~ r1(X40,X64) )
& ~ ! [X63] :
( ~ ( p109(X63)
& ~ p110(X63)
& ~ p10(X63) )
| ~ r1(X40,X63) ) ) )
& ( ~ ( p109(X40)
& ~ p110(X40) )
| ( ~ ! [X62] :
( ~ ( p110(X62)
& ~ p111(X62)
& p11(X62) )
| ~ r1(X40,X62) )
& ~ ! [X61] :
( ~ ( p110(X61)
& ~ p111(X61)
& ~ p11(X61) )
| ~ r1(X40,X61) ) ) )
& ( ~ ( p110(X40)
& ~ p111(X40) )
| ( ~ ! [X60] :
( ~ ( p111(X60)
& ~ p112(X60)
& p12(X60) )
| ~ r1(X40,X60) )
& ~ ! [X59] :
( ~ ( p111(X59)
& ~ p112(X59)
& ~ p12(X59) )
| ~ r1(X40,X59) ) ) )
& ( ~ ( p111(X40)
& ~ p112(X40) )
| ( ~ ! [X58] :
( ~ ( p112(X58)
& ~ p113(X58)
& p13(X58) )
| ~ r1(X40,X58) )
& ~ ! [X57] :
( ~ ( p112(X57)
& ~ p113(X57)
& ~ p13(X57) )
| ~ r1(X40,X57) ) ) )
& ( ~ ( p112(X40)
& ~ p113(X40) )
| ( ~ ! [X56] :
( ~ ( p113(X56)
& ~ p114(X56)
& p14(X56) )
| ~ r1(X40,X56) )
& ~ ! [X55] :
( ~ ( p113(X55)
& ~ p114(X55)
& ~ p14(X55) )
| ~ r1(X40,X55) ) ) )
& ( ~ ( p113(X40)
& ~ p114(X40) )
| ( ~ ! [X54] :
( ~ ( p114(X54)
& ~ p115(X54)
& p15(X54) )
| ~ r1(X40,X54) )
& ~ ! [X53] :
( ~ ( p114(X53)
& ~ p115(X53)
& ~ p15(X53) )
| ~ r1(X40,X53) ) ) )
& ( ~ ( p114(X40)
& ~ p115(X40) )
| ( ~ ! [X52] :
( ~ ( p115(X52)
& ~ p116(X52)
& p16(X52) )
| ~ r1(X40,X52) )
& ~ ! [X51] :
( ~ ( p115(X51)
& ~ p116(X51)
& ~ p16(X51) )
| ~ r1(X40,X51) ) ) )
& ( ~ ( p115(X40)
& ~ p116(X40) )
| ( ~ ! [X50] :
( ~ ( p116(X50)
& ~ p117(X50)
& p17(X50) )
| ~ r1(X40,X50) )
& ~ ! [X49] :
( ~ ( p116(X49)
& ~ p117(X49)
& ~ p17(X49) )
| ~ r1(X40,X49) ) ) )
& ( ~ ( p116(X40)
& ~ p117(X40) )
| ( ~ ! [X48] :
( ~ ( p117(X48)
& ~ p118(X48)
& p18(X48) )
| ~ r1(X40,X48) )
& ~ ! [X47] :
( ~ ( p117(X47)
& ~ p118(X47)
& ~ p18(X47) )
| ~ r1(X40,X47) ) ) )
& ( ~ ( p117(X40)
& ~ p118(X40) )
| ( ~ ! [X46] :
( ~ ( p118(X46)
& ~ p119(X46)
& p19(X46) )
| ~ r1(X40,X46) )
& ~ ! [X45] :
( ~ ( p118(X45)
& ~ p119(X45)
& ~ p19(X45) )
| ~ r1(X40,X45) ) ) )
& ( ~ ( p118(X40)
& ~ p119(X40) )
| ( ~ ! [X44] :
( ~ ( p119(X44)
& ~ p120(X44)
& p20(X44) )
| ~ r1(X40,X44) )
& ~ ! [X43] :
( ~ ( p119(X43)
& ~ p120(X43)
& ~ p20(X43) )
| ~ r1(X40,X43) ) ) )
& ( ~ ( p119(X40)
& ~ p120(X40) )
| ( ~ ! [X42] :
( ~ ( p120(X42)
& ~ p121(X42)
& p21(X42) )
| ~ r1(X40,X42) )
& ~ ! [X41] :
( ~ ( p120(X41)
& ~ p121(X41)
& ~ p21(X41) )
| ~ r1(X40,X41) ) ) ) )
| ~ 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) ) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p8(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) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ( ( ~ p101(X40)
| p100(X40) )
& ( ~ p102(X40)
| p101(X40) )
& ( ~ p103(X40)
| p102(X40) )
& ( ~ p104(X40)
| p103(X40) )
& ( ~ p105(X40)
| p104(X40) )
& ( ~ p106(X40)
| p105(X40) )
& ( ~ p107(X40)
| p106(X40) )
& ( ~ p108(X40)
| p107(X40) )
& ( ~ p109(X40)
| p108(X40) )
& ( ~ p110(X40)
| p109(X40) )
& ( ~ p111(X40)
| p110(X40) )
& ( ~ p112(X40)
| p111(X40) )
& ( ~ p113(X40)
| p112(X40) )
& ( ~ p114(X40)
| p113(X40) )
& ( ~ p115(X40)
| p114(X40) )
& ( ~ p116(X40)
| p115(X40) )
& ( ~ p117(X40)
| p116(X40) )
& ( ~ p118(X40)
| p117(X40) )
& ( ~ p119(X40)
| p118(X40) )
& ( ~ p120(X40)
| p119(X40) )
& ( ~ p121(X40)
| p120(X40) )
& ( ~ p100(X40)
| ( ( ~ p1(X40)
| ! [X122] :
( ~ p100(X122)
| p1(X122)
| ~ r1(X40,X122) ) )
& ( p1(X40)
| ! [X121] :
( ~ p100(X121)
| ~ p1(X121)
| ~ r1(X40,X121) ) ) ) )
& ( ~ p101(X40)
| ( ( ~ p2(X40)
| ! [X120] :
( ~ p101(X120)
| p2(X120)
| ~ r1(X40,X120) ) )
& ( p2(X40)
| ! [X119] :
( ~ p101(X119)
| ~ p2(X119)
| ~ r1(X40,X119) ) ) ) )
& ( ~ p102(X40)
| ( ( ~ p3(X40)
| ! [X118] :
( ~ p102(X118)
| p3(X118)
| ~ r1(X40,X118) ) )
& ( p3(X40)
| ! [X117] :
( ~ p102(X117)
| ~ p3(X117)
| ~ r1(X40,X117) ) ) ) )
& ( ~ p103(X40)
| ( ( ~ p4(X40)
| ! [X116] :
( ~ p103(X116)
| p4(X116)
| ~ r1(X40,X116) ) )
& ( p4(X40)
| ! [X115] :
( ~ p103(X115)
| ~ p4(X115)
| ~ r1(X40,X115) ) ) ) )
& ( ~ p104(X40)
| ( ( ~ p5(X40)
| ! [X114] :
( ~ p104(X114)
| p5(X114)
| ~ r1(X40,X114) ) )
& ( p5(X40)
| ! [X113] :
( ~ p104(X113)
| ~ p5(X113)
| ~ r1(X40,X113) ) ) ) )
& ( ~ p105(X40)
| ( ( ~ p6(X40)
| ! [X112] :
( ~ p105(X112)
| p6(X112)
| ~ r1(X40,X112) ) )
& ( p6(X40)
| ! [X111] :
( ~ p105(X111)
| ~ p6(X111)
| ~ r1(X40,X111) ) ) ) )
& ( ~ p106(X40)
| ( ( ~ p7(X40)
| ! [X110] :
( ~ p106(X110)
| p7(X110)
| ~ r1(X40,X110) ) )
& ( p7(X40)
| ! [X109] :
( ~ p106(X109)
| ~ p7(X109)
| ~ r1(X40,X109) ) ) ) )
& ( ~ p107(X40)
| ( ( ~ p8(X40)
| ! [X108] :
( ~ p107(X108)
| p8(X108)
| ~ r1(X40,X108) ) )
& ( p8(X40)
| ! [X107] :
( ~ p107(X107)
| ~ p8(X107)
| ~ r1(X40,X107) ) ) ) )
& ( ~ p108(X40)
| ( ( ~ p9(X40)
| ! [X106] :
( ~ p108(X106)
| p9(X106)
| ~ r1(X40,X106) ) )
& ( p9(X40)
| ! [X105] :
( ~ p108(X105)
| ~ p9(X105)
| ~ r1(X40,X105) ) ) ) )
& ( ~ p109(X40)
| ( ( ~ p10(X40)
| ! [X104] :
( ~ p109(X104)
| p10(X104)
| ~ r1(X40,X104) ) )
& ( p10(X40)
| ! [X103] :
( ~ p109(X103)
| ~ p10(X103)
| ~ r1(X40,X103) ) ) ) )
& ( ~ p110(X40)
| ( ( ~ p11(X40)
| ! [X102] :
( ~ p110(X102)
| p11(X102)
| ~ r1(X40,X102) ) )
& ( p11(X40)
| ! [X101] :
( ~ p110(X101)
| ~ p11(X101)
| ~ r1(X40,X101) ) ) ) )
& ( ~ p111(X40)
| ( ( ~ p12(X40)
| ! [X100] :
( ~ p111(X100)
| p12(X100)
| ~ r1(X40,X100) ) )
& ( p12(X40)
| ! [X99] :
( ~ p111(X99)
| ~ p12(X99)
| ~ r1(X40,X99) ) ) ) )
& ( ~ p112(X40)
| ( ( ~ p13(X40)
| ! [X98] :
( ~ p112(X98)
| p13(X98)
| ~ r1(X40,X98) ) )
& ( p13(X40)
| ! [X97] :
( ~ p112(X97)
| ~ p13(X97)
| ~ r1(X40,X97) ) ) ) )
& ( ~ p113(X40)
| ( ( ~ p14(X40)
| ! [X96] :
( ~ p113(X96)
| p14(X96)
| ~ r1(X40,X96) ) )
& ( p14(X40)
| ! [X95] :
( ~ p113(X95)
| ~ p14(X95)
| ~ r1(X40,X95) ) ) ) )
& ( ~ p114(X40)
| ( ( ~ p15(X40)
| ! [X94] :
( ~ p114(X94)
| p15(X94)
| ~ r1(X40,X94) ) )
& ( p15(X40)
| ! [X93] :
( ~ p114(X93)
| ~ p15(X93)
| ~ r1(X40,X93) ) ) ) )
& ( ~ p115(X40)
| ( ( ~ p16(X40)
| ! [X92] :
( ~ p115(X92)
| p16(X92)
| ~ r1(X40,X92) ) )
& ( p16(X40)
| ! [X91] :
( ~ p115(X91)
| ~ p16(X91)
| ~ r1(X40,X91) ) ) ) )
& ( ~ p116(X40)
| ( ( ~ p17(X40)
| ! [X90] :
( ~ p116(X90)
| p17(X90)
| ~ r1(X40,X90) ) )
& ( p17(X40)
| ! [X89] :
( ~ p116(X89)
| ~ p17(X89)
| ~ r1(X40,X89) ) ) ) )
& ( ~ p117(X40)
| ( ( ~ p18(X40)
| ! [X88] :
( ~ p117(X88)
| p18(X88)
| ~ r1(X40,X88) ) )
& ( p18(X40)
| ! [X87] :
( ~ p117(X87)
| ~ p18(X87)
| ~ r1(X40,X87) ) ) ) )
& ( ~ p118(X40)
| ( ( ~ p19(X40)
| ! [X86] :
( ~ p118(X86)
| p19(X86)
| ~ r1(X40,X86) ) )
& ( p19(X40)
| ! [X85] :
( ~ p118(X85)
| ~ p19(X85)
| ~ r1(X40,X85) ) ) ) )
& ( ~ p119(X40)
| ( ( ~ p20(X40)
| ! [X84] :
( ~ p119(X84)
| p20(X84)
| ~ r1(X40,X84) ) )
& ( p20(X40)
| ! [X83] :
( ~ p119(X83)
| ~ p20(X83)
| ~ r1(X40,X83) ) ) ) )
& ( ~ p120(X40)
| ( ( ~ p21(X40)
| ! [X82] :
( ~ p120(X82)
| p21(X82)
| ~ r1(X40,X82) ) )
& ( p21(X40)
| ! [X81] :
( ~ p120(X81)
| ~ p21(X81)
| ~ r1(X40,X81) ) ) ) )
& ( ~ ( p100(X40)
& ~ p101(X40) )
| ( ~ ! [X80] :
( ~ ( p101(X80)
& ~ p102(X80)
& p2(X80) )
| ~ r1(X40,X80) )
& ~ ! [X79] :
( ~ ( p101(X79)
& ~ p102(X79)
& ~ p2(X79) )
| ~ r1(X40,X79) ) ) )
& ( ~ ( p101(X40)
& ~ p102(X40) )
| ( ~ ! [X78] :
( ~ ( p102(X78)
& ~ p103(X78)
& p3(X78) )
| ~ r1(X40,X78) )
& ~ ! [X77] :
( ~ ( p102(X77)
& ~ p103(X77)
& ~ p3(X77) )
| ~ r1(X40,X77) ) ) )
& ( ~ ( p102(X40)
& ~ p103(X40) )
| ( ~ ! [X76] :
( ~ ( p103(X76)
& ~ p104(X76)
& p4(X76) )
| ~ r1(X40,X76) )
& ~ ! [X75] :
( ~ ( p103(X75)
& ~ p104(X75)
& ~ p4(X75) )
| ~ r1(X40,X75) ) ) )
& ( ~ ( p103(X40)
& ~ p104(X40) )
| ( ~ ! [X74] :
( ~ ( p104(X74)
& ~ p105(X74)
& p5(X74) )
| ~ r1(X40,X74) )
& ~ ! [X73] :
( ~ ( p104(X73)
& ~ p105(X73)
& ~ p5(X73) )
| ~ r1(X40,X73) ) ) )
& ( ~ ( p104(X40)
& ~ p105(X40) )
| ( ~ ! [X72] :
( ~ ( p105(X72)
& ~ p106(X72)
& p6(X72) )
| ~ r1(X40,X72) )
& ~ ! [X71] :
( ~ ( p105(X71)
& ~ p106(X71)
& ~ p6(X71) )
| ~ r1(X40,X71) ) ) )
& ( ~ ( p105(X40)
& ~ p106(X40) )
| ( ~ ! [X70] :
( ~ ( p106(X70)
& ~ p107(X70)
& p7(X70) )
| ~ r1(X40,X70) )
& ~ ! [X69] :
( ~ ( p106(X69)
& ~ p107(X69)
& ~ p7(X69) )
| ~ r1(X40,X69) ) ) )
& ( ~ ( p106(X40)
& ~ p107(X40) )
| ( ~ ! [X68] :
( ~ ( p107(X68)
& ~ p108(X68)
& p8(X68) )
| ~ r1(X40,X68) )
& ~ ! [X67] :
( ~ ( p107(X67)
& ~ p108(X67)
& ~ p8(X67) )
| ~ r1(X40,X67) ) ) )
& ( ~ ( p107(X40)
& ~ p108(X40) )
| ( ~ ! [X66] :
( ~ ( p108(X66)
& ~ p109(X66)
& p9(X66) )
| ~ r1(X40,X66) )
& ~ ! [X65] :
( ~ ( p108(X65)
& ~ p109(X65)
& ~ p9(X65) )
| ~ r1(X40,X65) ) ) )
& ( ~ ( p108(X40)
& ~ p109(X40) )
| ( ~ ! [X64] :
( ~ ( p109(X64)
& ~ p110(X64)
& p10(X64) )
| ~ r1(X40,X64) )
& ~ ! [X63] :
( ~ ( p109(X63)
& ~ p110(X63)
& ~ p10(X63) )
| ~ r1(X40,X63) ) ) )
& ( ~ ( p109(X40)
& ~ p110(X40) )
| ( ~ ! [X62] :
( ~ ( p110(X62)
& ~ p111(X62)
& p11(X62) )
| ~ r1(X40,X62) )
& ~ ! [X61] :
( ~ ( p110(X61)
& ~ p111(X61)
& ~ p11(X61) )
| ~ r1(X40,X61) ) ) )
& ( ~ ( p110(X40)
& ~ p111(X40) )
| ( ~ ! [X60] :
( ~ ( p111(X60)
& ~ p112(X60)
& p12(X60) )
| ~ r1(X40,X60) )
& ~ ! [X59] :
( ~ ( p111(X59)
& ~ p112(X59)
& ~ p12(X59) )
| ~ r1(X40,X59) ) ) )
& ( ~ ( p111(X40)
& ~ p112(X40) )
| ( ~ ! [X58] :
( ~ ( p112(X58)
& ~ p113(X58)
& p13(X58) )
| ~ r1(X40,X58) )
& ~ ! [X57] :
( ~ ( p112(X57)
& ~ p113(X57)
& ~ p13(X57) )
| ~ r1(X40,X57) ) ) )
& ( ~ ( p112(X40)
& ~ p113(X40) )
| ( ~ ! [X56] :
( ~ ( p113(X56)
& ~ p114(X56)
& p14(X56) )
| ~ r1(X40,X56) )
& ~ ! [X55] :
( ~ ( p113(X55)
& ~ p114(X55)
& ~ p14(X55) )
| ~ r1(X40,X55) ) ) )
& ( ~ ( p113(X40)
& ~ p114(X40) )
| ( ~ ! [X54] :
( ~ ( p114(X54)
& ~ p115(X54)
& p15(X54) )
| ~ r1(X40,X54) )
& ~ ! [X53] :
( ~ ( p114(X53)
& ~ p115(X53)
& ~ p15(X53) )
| ~ r1(X40,X53) ) ) )
& ( ~ ( p114(X40)
& ~ p115(X40) )
| ( ~ ! [X52] :
( ~ ( p115(X52)
& ~ p116(X52)
& p16(X52) )
| ~ r1(X40,X52) )
& ~ ! [X51] :
( ~ ( p115(X51)
& ~ p116(X51)
& ~ p16(X51) )
| ~ r1(X40,X51) ) ) )
& ( ~ ( p115(X40)
& ~ p116(X40) )
| ( ~ ! [X50] :
( ~ ( p116(X50)
& ~ p117(X50)
& p17(X50) )
| ~ r1(X40,X50) )
& ~ ! [X49] :
( ~ ( p116(X49)
& ~ p117(X49)
& ~ p17(X49) )
| ~ r1(X40,X49) ) ) )
& ( ~ ( p116(X40)
& ~ p117(X40) )
| ( ~ ! [X48] :
( ~ ( p117(X48)
& ~ p118(X48)
& p18(X48) )
| ~ r1(X40,X48) )
& ~ ! [X47] :
( ~ ( p117(X47)
& ~ p118(X47)
& ~ p18(X47) )
| ~ r1(X40,X47) ) ) )
& ( ~ ( p117(X40)
& ~ p118(X40) )
| ( ~ ! [X46] :
( ~ ( p118(X46)
& ~ p119(X46)
& p19(X46) )
| ~ r1(X40,X46) )
& ~ ! [X45] :
( ~ ( p118(X45)
& ~ p119(X45)
& ~ p19(X45) )
| ~ r1(X40,X45) ) ) )
& ( ~ ( p118(X40)
& ~ p119(X40) )
| ( ~ ! [X44] :
( ~ ( p119(X44)
& ~ p120(X44)
& p20(X44) )
| ~ r1(X40,X44) )
& ~ ! [X43] :
( ~ ( p119(X43)
& ~ p120(X43)
& ~ p20(X43) )
| ~ r1(X40,X43) ) ) )
& ( ~ ( p119(X40)
& ~ p120(X40) )
| ( ~ ! [X42] :
( ~ ( p120(X42)
& ~ p121(X42)
& p21(X42) )
| ~ r1(X40,X42) )
& ~ ! [X41] :
( ~ ( p120(X41)
& ~ p121(X41)
& ~ p21(X41) )
| ~ r1(X40,X41) ) ) ) )
| ~ 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) ) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p8(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) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ( ( ~ p101(X40)
| p100(X40) )
& ( ~ p102(X40)
| p101(X40) )
& ( ~ p103(X40)
| p102(X40) )
& ( ~ p104(X40)
| p103(X40) )
& ( ~ p105(X40)
| p104(X40) )
& ( ~ p106(X40)
| p105(X40) )
& ( ~ p107(X40)
| p106(X40) )
& ( ~ p108(X40)
| p107(X40) )
& ( ~ p109(X40)
| p108(X40) )
& ( ~ p110(X40)
| p109(X40) )
& ( ~ p111(X40)
| p110(X40) )
& ( ~ p112(X40)
| p111(X40) )
& ( ~ p113(X40)
| p112(X40) )
& ( ~ p114(X40)
| p113(X40) )
& ( ~ p115(X40)
| p114(X40) )
& ( ~ p116(X40)
| p115(X40) )
& ( ~ p117(X40)
| p116(X40) )
& ( ~ p118(X40)
| p117(X40) )
& ( ~ p119(X40)
| p118(X40) )
& ( ~ p120(X40)
| p119(X40) )
& ( ~ p100(X40)
| ( ( ~ p1(X40)
| ! [X122] :
( ~ p100(X122)
| p1(X122)
| ~ r1(X40,X122) ) )
& ( p1(X40)
| ! [X121] :
( ~ p100(X121)
| ~ p1(X121)
| ~ r1(X40,X121) ) ) ) )
& ( ~ p101(X40)
| ( ( ~ p2(X40)
| ! [X120] :
( ~ p101(X120)
| p2(X120)
| ~ r1(X40,X120) ) )
& ( p2(X40)
| ! [X119] :
( ~ p101(X119)
| ~ p2(X119)
| ~ r1(X40,X119) ) ) ) )
& ( ~ p102(X40)
| ( ( ~ p3(X40)
| ! [X118] :
( ~ p102(X118)
| p3(X118)
| ~ r1(X40,X118) ) )
& ( p3(X40)
| ! [X117] :
( ~ p102(X117)
| ~ p3(X117)
| ~ r1(X40,X117) ) ) ) )
& ( ~ p103(X40)
| ( ( ~ p4(X40)
| ! [X116] :
( ~ p103(X116)
| p4(X116)
| ~ r1(X40,X116) ) )
& ( p4(X40)
| ! [X115] :
( ~ p103(X115)
| ~ p4(X115)
| ~ r1(X40,X115) ) ) ) )
& ( ~ p104(X40)
| ( ( ~ p5(X40)
| ! [X114] :
( ~ p104(X114)
| p5(X114)
| ~ r1(X40,X114) ) )
& ( p5(X40)
| ! [X113] :
( ~ p104(X113)
| ~ p5(X113)
| ~ r1(X40,X113) ) ) ) )
& ( ~ p105(X40)
| ( ( ~ p6(X40)
| ! [X112] :
( ~ p105(X112)
| p6(X112)
| ~ r1(X40,X112) ) )
& ( p6(X40)
| ! [X111] :
( ~ p105(X111)
| ~ p6(X111)
| ~ r1(X40,X111) ) ) ) )
& ( ~ p106(X40)
| ( ( ~ p7(X40)
| ! [X110] :
( ~ p106(X110)
| p7(X110)
| ~ r1(X40,X110) ) )
& ( p7(X40)
| ! [X109] :
( ~ p106(X109)
| ~ p7(X109)
| ~ r1(X40,X109) ) ) ) )
& ( ~ p107(X40)
| ( ( ~ p8(X40)
| ! [X108] :
( ~ p107(X108)
| p8(X108)
| ~ r1(X40,X108) ) )
& ( p8(X40)
| ! [X107] :
( ~ p107(X107)
| ~ p8(X107)
| ~ r1(X40,X107) ) ) ) )
& ( ~ p108(X40)
| ( ( ~ p9(X40)
| ! [X106] :
( ~ p108(X106)
| p9(X106)
| ~ r1(X40,X106) ) )
& ( p9(X40)
| ! [X105] :
( ~ p108(X105)
| ~ p9(X105)
| ~ r1(X40,X105) ) ) ) )
& ( ~ p109(X40)
| ( ( ~ p10(X40)
| ! [X104] :
( ~ p109(X104)
| p10(X104)
| ~ r1(X40,X104) ) )
& ( p10(X40)
| ! [X103] :
( ~ p109(X103)
| ~ p10(X103)
| ~ r1(X40,X103) ) ) ) )
& ( ~ p110(X40)
| ( ( ~ p11(X40)
| ! [X102] :
( ~ p110(X102)
| p11(X102)
| ~ r1(X40,X102) ) )
& ( p11(X40)
| ! [X101] :
( ~ p110(X101)
| ~ p11(X101)
| ~ r1(X40,X101) ) ) ) )
& ( ~ p111(X40)
| ( ( ~ p12(X40)
| ! [X100] :
( ~ p111(X100)
| p12(X100)
| ~ r1(X40,X100) ) )
& ( p12(X40)
| ! [X99] :
( ~ p111(X99)
| ~ p12(X99)
| ~ r1(X40,X99) ) ) ) )
& ( ~ p112(X40)
| ( ( ~ p13(X40)
| ! [X98] :
( ~ p112(X98)
| p13(X98)
| ~ r1(X40,X98) ) )
& ( p13(X40)
| ! [X97] :
( ~ p112(X97)
| ~ p13(X97)
| ~ r1(X40,X97) ) ) ) )
& ( ~ p113(X40)
| ( ( ~ p14(X40)
| ! [X96] :
( ~ p113(X96)
| p14(X96)
| ~ r1(X40,X96) ) )
& ( p14(X40)
| ! [X95] :
( ~ p113(X95)
| ~ p14(X95)
| ~ r1(X40,X95) ) ) ) )
& ( ~ p114(X40)
| ( ( ~ p15(X40)
| ! [X94] :
( ~ p114(X94)
| p15(X94)
| ~ r1(X40,X94) ) )
& ( p15(X40)
| ! [X93] :
( ~ p114(X93)
| ~ p15(X93)
| ~ r1(X40,X93) ) ) ) )
& ( ~ p115(X40)
| ( ( ~ p16(X40)
| ! [X92] :
( ~ p115(X92)
| p16(X92)
| ~ r1(X40,X92) ) )
& ( p16(X40)
| ! [X91] :
( ~ p115(X91)
| ~ p16(X91)
| ~ r1(X40,X91) ) ) ) )
& ( ~ p116(X40)
| ( ( ~ p17(X40)
| ! [X90] :
( ~ p116(X90)
| p17(X90)
| ~ r1(X40,X90) ) )
& ( p17(X40)
| ! [X89] :
( ~ p116(X89)
| ~ p17(X89)
| ~ r1(X40,X89) ) ) ) )
& ( ~ p117(X40)
| ( ( ~ p18(X40)
| ! [X88] :
( ~ p117(X88)
| p18(X88)
| ~ r1(X40,X88) ) )
& ( p18(X40)
| ! [X87] :
( ~ p117(X87)
| ~ p18(X87)
| ~ r1(X40,X87) ) ) ) )
& ( ~ p118(X40)
| ( ( ~ p19(X40)
| ! [X86] :
( ~ p118(X86)
| p19(X86)
| ~ r1(X40,X86) ) )
& ( p19(X40)
| ! [X85] :
( ~ p118(X85)
| ~ p19(X85)
| ~ r1(X40,X85) ) ) ) )
& ( ~ p119(X40)
| ( ( ~ p20(X40)
| ! [X84] :
( ~ p119(X84)
| p20(X84)
| ~ r1(X40,X84) ) )
& ( p20(X40)
| ! [X83] :
( ~ p119(X83)
| ~ p20(X83)
| ~ r1(X40,X83) ) ) ) )
& ( ~ p120(X40)
| ( ( ~ p21(X40)
| ! [X82] :
( ~ p120(X82)
| p21(X82)
| ~ r1(X40,X82) ) )
& ( p21(X40)
| ! [X81] :
( ~ p120(X81)
| ~ p21(X81)
| ~ r1(X40,X81) ) ) ) )
& ( ~ ( p100(X40)
& ~ p101(X40) )
| ( ~ ! [X80] :
( ~ ( p101(X80)
& ~ p102(X80)
& p2(X80) )
| ~ r1(X40,X80) )
& ~ ! [X79] :
( ~ ( p101(X79)
& ~ p102(X79)
& ~ p2(X79) )
| ~ r1(X40,X79) ) ) )
& ( ~ ( p101(X40)
& ~ p102(X40) )
| ( ~ ! [X78] :
( ~ ( p102(X78)
& ~ p103(X78)
& p3(X78) )
| ~ r1(X40,X78) )
& ~ ! [X77] :
( ~ ( p102(X77)
& ~ p103(X77)
& ~ p3(X77) )
| ~ r1(X40,X77) ) ) )
& ( ~ ( p102(X40)
& ~ p103(X40) )
| ( ~ ! [X76] :
( ~ ( p103(X76)
& ~ p104(X76)
& p4(X76) )
| ~ r1(X40,X76) )
& ~ ! [X75] :
( ~ ( p103(X75)
& ~ p104(X75)
& ~ p4(X75) )
| ~ r1(X40,X75) ) ) )
& ( ~ ( p103(X40)
& ~ p104(X40) )
| ( ~ ! [X74] :
( ~ ( p104(X74)
& ~ p105(X74)
& p5(X74) )
| ~ r1(X40,X74) )
& ~ ! [X73] :
( ~ ( p104(X73)
& ~ p105(X73)
& ~ p5(X73) )
| ~ r1(X40,X73) ) ) )
& ( ~ ( p104(X40)
& ~ p105(X40) )
| ( ~ ! [X72] :
( ~ ( p105(X72)
& ~ p106(X72)
& p6(X72) )
| ~ r1(X40,X72) )
& ~ ! [X71] :
( ~ ( p105(X71)
& ~ p106(X71)
& ~ p6(X71) )
| ~ r1(X40,X71) ) ) )
& ( ~ ( p105(X40)
& ~ p106(X40) )
| ( ~ ! [X70] :
( ~ ( p106(X70)
& ~ p107(X70)
& p7(X70) )
| ~ r1(X40,X70) )
& ~ ! [X69] :
( ~ ( p106(X69)
& ~ p107(X69)
& ~ p7(X69) )
| ~ r1(X40,X69) ) ) )
& ( ~ ( p106(X40)
& ~ p107(X40) )
| ( ~ ! [X68] :
( ~ ( p107(X68)
& ~ p108(X68)
& p8(X68) )
| ~ r1(X40,X68) )
& ~ ! [X67] :
( ~ ( p107(X67)
& ~ p108(X67)
& ~ p8(X67) )
| ~ r1(X40,X67) ) ) )
& ( ~ ( p107(X40)
& ~ p108(X40) )
| ( ~ ! [X66] :
( ~ ( p108(X66)
& ~ p109(X66)
& p9(X66) )
| ~ r1(X40,X66) )
& ~ ! [X65] :
( ~ ( p108(X65)
& ~ p109(X65)
& ~ p9(X65) )
| ~ r1(X40,X65) ) ) )
& ( ~ ( p108(X40)
& ~ p109(X40) )
| ( ~ ! [X64] :
( ~ ( p109(X64)
& ~ p110(X64)
& p10(X64) )
| ~ r1(X40,X64) )
& ~ ! [X63] :
( ~ ( p109(X63)
& ~ p110(X63)
& ~ p10(X63) )
| ~ r1(X40,X63) ) ) )
& ( ~ ( p109(X40)
& ~ p110(X40) )
| ( ~ ! [X62] :
( ~ ( p110(X62)
& ~ p111(X62)
& p11(X62) )
| ~ r1(X40,X62) )
& ~ ! [X61] :
( ~ ( p110(X61)
& ~ p111(X61)
& ~ p11(X61) )
| ~ r1(X40,X61) ) ) )
& ( ~ ( p110(X40)
& ~ p111(X40) )
| ( ~ ! [X60] :
( ~ ( p111(X60)
& ~ p112(X60)
& p12(X60) )
| ~ r1(X40,X60) )
& ~ ! [X59] :
( ~ ( p111(X59)
& ~ p112(X59)
& ~ p12(X59) )
| ~ r1(X40,X59) ) ) )
& ( ~ ( p111(X40)
& ~ p112(X40) )
| ( ~ ! [X58] :
( ~ ( p112(X58)
& ~ p113(X58)
& p13(X58) )
| ~ r1(X40,X58) )
& ~ ! [X57] :
( ~ ( p112(X57)
& ~ p113(X57)
& ~ p13(X57) )
| ~ r1(X40,X57) ) ) )
& ( ~ ( p112(X40)
& ~ p113(X40) )
| ( ~ ! [X56] :
( ~ ( p113(X56)
& ~ p114(X56)
& p14(X56) )
| ~ r1(X40,X56) )
& ~ ! [X55] :
( ~ ( p113(X55)
& ~ p114(X55)
& ~ p14(X55) )
| ~ r1(X40,X55) ) ) )
& ( ~ ( p113(X40)
& ~ p114(X40) )
| ( ~ ! [X54] :
( ~ ( p114(X54)
& ~ p115(X54)
& p15(X54) )
| ~ r1(X40,X54) )
& ~ ! [X53] :
( ~ ( p114(X53)
& ~ p115(X53)
& ~ p15(X53) )
| ~ r1(X40,X53) ) ) )
& ( ~ ( p114(X40)
& ~ p115(X40) )
| ( ~ ! [X52] :
( ~ ( p115(X52)
& ~ p116(X52)
& p16(X52) )
| ~ r1(X40,X52) )
& ~ ! [X51] :
( ~ ( p115(X51)
& ~ p116(X51)
& ~ p16(X51) )
| ~ r1(X40,X51) ) ) )
& ( ~ ( p115(X40)
& ~ p116(X40) )
| ( ~ ! [X50] :
( ~ ( p116(X50)
& ~ p117(X50)
& p17(X50) )
| ~ r1(X40,X50) )
& ~ ! [X49] :
( ~ ( p116(X49)
& ~ p117(X49)
& ~ p17(X49) )
| ~ r1(X40,X49) ) ) )
& ( ~ ( p116(X40)
& ~ p117(X40) )
| ( ~ ! [X48] :
( ~ ( p117(X48)
& ~ p118(X48)
& p18(X48) )
| ~ r1(X40,X48) )
& ~ ! [X47] :
( ~ ( p117(X47)
& ~ p118(X47)
& ~ p18(X47) )
| ~ r1(X40,X47) ) ) )
& ( ~ ( p117(X40)
& ~ p118(X40) )
| ( ~ ! [X46] :
( ~ ( p118(X46)
& ~ p119(X46)
& p19(X46) )
| ~ r1(X40,X46) )
& ~ ! [X45] :
( ~ ( p118(X45)
& ~ p119(X45)
& ~ p19(X45) )
| ~ r1(X40,X45) ) ) )
& ( ~ ( p118(X40)
& ~ p119(X40) )
| ( ~ ! [X44] :
( ~ ( p119(X44)
& ~ p120(X44)
& p20(X44) )
| ~ r1(X40,X44) )
& ~ ! [X43] :
( ~ ( p119(X43)
& ~ p120(X43)
& ~ p20(X43) )
| ~ r1(X40,X43) ) ) )
& ( ~ ( p119(X40)
& ~ p120(X40) )
| ( ~ ! [X42] :
( ~ ( p120(X42)
& p21(X42) )
| ~ r1(X40,X42) )
& ~ ! [X41] :
( ~ ( p120(X41)
& ~ p21(X41) )
| ~ r1(X40,X41) ) ) ) )
| ~ 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) ) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p8(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) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ( ( ~ p101(X40)
| p100(X40) )
& ( ~ p102(X40)
| p101(X40) )
& ( ~ p103(X40)
| p102(X40) )
& ( ~ p104(X40)
| p103(X40) )
& ( ~ p105(X40)
| p104(X40) )
& ( ~ p106(X40)
| p105(X40) )
& ( ~ p107(X40)
| p106(X40) )
& ( ~ p108(X40)
| p107(X40) )
& ( ~ p109(X40)
| p108(X40) )
& ( ~ p110(X40)
| p109(X40) )
& ( ~ p111(X40)
| p110(X40) )
& ( ~ p112(X40)
| p111(X40) )
& ( ~ p113(X40)
| p112(X40) )
& ( ~ p114(X40)
| p113(X40) )
& ( ~ p115(X40)
| p114(X40) )
& ( ~ p116(X40)
| p115(X40) )
& ( ~ p117(X40)
| p116(X40) )
& ( ~ p118(X40)
| p117(X40) )
& ( ~ p119(X40)
| p118(X40) )
& ( ~ p120(X40)
| p119(X40) )
& ( ~ p100(X40)
| ( ( ~ p1(X40)
| ! [X122] :
( ~ p100(X122)
| p1(X122)
| ~ r1(X40,X122) ) )
& ( p1(X40)
| ! [X121] :
( ~ p100(X121)
| ~ p1(X121)
| ~ r1(X40,X121) ) ) ) )
& ( ~ p101(X40)
| ( ( ~ p2(X40)
| ! [X120] :
( ~ p101(X120)
| p2(X120)
| ~ r1(X40,X120) ) )
& ( p2(X40)
| ! [X119] :
( ~ p101(X119)
| ~ p2(X119)
| ~ r1(X40,X119) ) ) ) )
& ( ~ p102(X40)
| ( ( ~ p3(X40)
| ! [X118] :
( ~ p102(X118)
| p3(X118)
| ~ r1(X40,X118) ) )
& ( p3(X40)
| ! [X117] :
( ~ p102(X117)
| ~ p3(X117)
| ~ r1(X40,X117) ) ) ) )
& ( ~ p103(X40)
| ( ( ~ p4(X40)
| ! [X116] :
( ~ p103(X116)
| p4(X116)
| ~ r1(X40,X116) ) )
& ( p4(X40)
| ! [X115] :
( ~ p103(X115)
| ~ p4(X115)
| ~ r1(X40,X115) ) ) ) )
& ( ~ p104(X40)
| ( ( ~ p5(X40)
| ! [X114] :
( ~ p104(X114)
| p5(X114)
| ~ r1(X40,X114) ) )
& ( p5(X40)
| ! [X113] :
( ~ p104(X113)
| ~ p5(X113)
| ~ r1(X40,X113) ) ) ) )
& ( ~ p105(X40)
| ( ( ~ p6(X40)
| ! [X112] :
( ~ p105(X112)
| p6(X112)
| ~ r1(X40,X112) ) )
& ( p6(X40)
| ! [X111] :
( ~ p105(X111)
| ~ p6(X111)
| ~ r1(X40,X111) ) ) ) )
& ( ~ p106(X40)
| ( ( ~ p7(X40)
| ! [X110] :
( ~ p106(X110)
| p7(X110)
| ~ r1(X40,X110) ) )
& ( p7(X40)
| ! [X109] :
( ~ p106(X109)
| ~ p7(X109)
| ~ r1(X40,X109) ) ) ) )
& ( ~ p107(X40)
| ( ( ~ p8(X40)
| ! [X108] :
( ~ p107(X108)
| p8(X108)
| ~ r1(X40,X108) ) )
& ( p8(X40)
| ! [X107] :
( ~ p107(X107)
| ~ p8(X107)
| ~ r1(X40,X107) ) ) ) )
& ( ~ p108(X40)
| ( ( ~ p9(X40)
| ! [X106] :
( ~ p108(X106)
| p9(X106)
| ~ r1(X40,X106) ) )
& ( p9(X40)
| ! [X105] :
( ~ p108(X105)
| ~ p9(X105)
| ~ r1(X40,X105) ) ) ) )
& ( ~ p109(X40)
| ( ( ~ p10(X40)
| ! [X104] :
( ~ p109(X104)
| p10(X104)
| ~ r1(X40,X104) ) )
& ( p10(X40)
| ! [X103] :
( ~ p109(X103)
| ~ p10(X103)
| ~ r1(X40,X103) ) ) ) )
& ( ~ p110(X40)
| ( ( ~ p11(X40)
| ! [X102] :
( ~ p110(X102)
| p11(X102)
| ~ r1(X40,X102) ) )
& ( p11(X40)
| ! [X101] :
( ~ p110(X101)
| ~ p11(X101)
| ~ r1(X40,X101) ) ) ) )
& ( ~ p111(X40)
| ( ( ~ p12(X40)
| ! [X100] :
( ~ p111(X100)
| p12(X100)
| ~ r1(X40,X100) ) )
& ( p12(X40)
| ! [X99] :
( ~ p111(X99)
| ~ p12(X99)
| ~ r1(X40,X99) ) ) ) )
& ( ~ p112(X40)
| ( ( ~ p13(X40)
| ! [X98] :
( ~ p112(X98)
| p13(X98)
| ~ r1(X40,X98) ) )
& ( p13(X40)
| ! [X97] :
( ~ p112(X97)
| ~ p13(X97)
| ~ r1(X40,X97) ) ) ) )
& ( ~ p113(X40)
| ( ( ~ p14(X40)
| ! [X96] :
( ~ p113(X96)
| p14(X96)
| ~ r1(X40,X96) ) )
& ( p14(X40)
| ! [X95] :
( ~ p113(X95)
| ~ p14(X95)
| ~ r1(X40,X95) ) ) ) )
& ( ~ p114(X40)
| ( ( ~ p15(X40)
| ! [X94] :
( ~ p114(X94)
| p15(X94)
| ~ r1(X40,X94) ) )
& ( p15(X40)
| ! [X93] :
( ~ p114(X93)
| ~ p15(X93)
| ~ r1(X40,X93) ) ) ) )
& ( ~ p115(X40)
| ( ( ~ p16(X40)
| ! [X92] :
( ~ p115(X92)
| p16(X92)
| ~ r1(X40,X92) ) )
& ( p16(X40)
| ! [X91] :
( ~ p115(X91)
| ~ p16(X91)
| ~ r1(X40,X91) ) ) ) )
& ( ~ p116(X40)
| ( ( ~ p17(X40)
| ! [X90] :
( ~ p116(X90)
| p17(X90)
| ~ r1(X40,X90) ) )
& ( p17(X40)
| ! [X89] :
( ~ p116(X89)
| ~ p17(X89)
| ~ r1(X40,X89) ) ) ) )
& ( ~ p117(X40)
| ( ( ~ p18(X40)
| ! [X88] :
( ~ p117(X88)
| p18(X88)
| ~ r1(X40,X88) ) )
& ( p18(X40)
| ! [X87] :
( ~ p117(X87)
| ~ p18(X87)
| ~ r1(X40,X87) ) ) ) )
& ( ~ p118(X40)
| ( ( ~ p19(X40)
| ! [X86] :
( ~ p118(X86)
| p19(X86)
| ~ r1(X40,X86) ) )
& ( p19(X40)
| ! [X85] :
( ~ p118(X85)
| ~ p19(X85)
| ~ r1(X40,X85) ) ) ) )
& ( ~ p119(X40)
| ( ( ~ p20(X40)
| ! [X84] :
( ~ p119(X84)
| p20(X84)
| ~ r1(X40,X84) ) )
& ( p20(X40)
| ! [X83] :
( ~ p119(X83)
| ~ p20(X83)
| ~ r1(X40,X83) ) ) ) )
& ( ~ p120(X40)
| ( ( ~ p21(X40)
| ! [X82] :
( ~ p120(X82)
| p21(X82)
| ~ r1(X40,X82) ) )
& ( p21(X40)
| ! [X81] :
( ~ p120(X81)
| ~ p21(X81)
| ~ r1(X40,X81) ) ) ) )
& ( ~ p100(X40)
| p101(X40)
| ( ? [X80] :
( p101(X80)
& ~ p102(X80)
& p2(X80)
& r1(X40,X80) )
& ? [X79] :
( p101(X79)
& ~ p102(X79)
& ~ p2(X79)
& r1(X40,X79) ) ) )
& ( ~ p101(X40)
| p102(X40)
| ( ? [X78] :
( p102(X78)
& ~ p103(X78)
& p3(X78)
& r1(X40,X78) )
& ? [X77] :
( p102(X77)
& ~ p103(X77)
& ~ p3(X77)
& r1(X40,X77) ) ) )
& ( ~ p102(X40)
| p103(X40)
| ( ? [X76] :
( p103(X76)
& ~ p104(X76)
& p4(X76)
& r1(X40,X76) )
& ? [X75] :
( p103(X75)
& ~ p104(X75)
& ~ p4(X75)
& r1(X40,X75) ) ) )
& ( ~ p103(X40)
| p104(X40)
| ( ? [X74] :
( p104(X74)
& ~ p105(X74)
& p5(X74)
& r1(X40,X74) )
& ? [X73] :
( p104(X73)
& ~ p105(X73)
& ~ p5(X73)
& r1(X40,X73) ) ) )
& ( ~ p104(X40)
| p105(X40)
| ( ? [X72] :
( p105(X72)
& ~ p106(X72)
& p6(X72)
& r1(X40,X72) )
& ? [X71] :
( p105(X71)
& ~ p106(X71)
& ~ p6(X71)
& r1(X40,X71) ) ) )
& ( ~ p105(X40)
| p106(X40)
| ( ? [X70] :
( p106(X70)
& ~ p107(X70)
& p7(X70)
& r1(X40,X70) )
& ? [X69] :
( p106(X69)
& ~ p107(X69)
& ~ p7(X69)
& r1(X40,X69) ) ) )
& ( ~ p106(X40)
| p107(X40)
| ( ? [X68] :
( p107(X68)
& ~ p108(X68)
& p8(X68)
& r1(X40,X68) )
& ? [X67] :
( p107(X67)
& ~ p108(X67)
& ~ p8(X67)
& r1(X40,X67) ) ) )
& ( ~ p107(X40)
| p108(X40)
| ( ? [X66] :
( p108(X66)
& ~ p109(X66)
& p9(X66)
& r1(X40,X66) )
& ? [X65] :
( p108(X65)
& ~ p109(X65)
& ~ p9(X65)
& r1(X40,X65) ) ) )
& ( ~ p108(X40)
| p109(X40)
| ( ? [X64] :
( p109(X64)
& ~ p110(X64)
& p10(X64)
& r1(X40,X64) )
& ? [X63] :
( p109(X63)
& ~ p110(X63)
& ~ p10(X63)
& r1(X40,X63) ) ) )
& ( ~ p109(X40)
| p110(X40)
| ( ? [X62] :
( p110(X62)
& ~ p111(X62)
& p11(X62)
& r1(X40,X62) )
& ? [X61] :
( p110(X61)
& ~ p111(X61)
& ~ p11(X61)
& r1(X40,X61) ) ) )
& ( ~ p110(X40)
| p111(X40)
| ( ? [X60] :
( p111(X60)
& ~ p112(X60)
& p12(X60)
& r1(X40,X60) )
& ? [X59] :
( p111(X59)
& ~ p112(X59)
& ~ p12(X59)
& r1(X40,X59) ) ) )
& ( ~ p111(X40)
| p112(X40)
| ( ? [X58] :
( p112(X58)
& ~ p113(X58)
& p13(X58)
& r1(X40,X58) )
& ? [X57] :
( p112(X57)
& ~ p113(X57)
& ~ p13(X57)
& r1(X40,X57) ) ) )
& ( ~ p112(X40)
| p113(X40)
| ( ? [X56] :
( p113(X56)
& ~ p114(X56)
& p14(X56)
& r1(X40,X56) )
& ? [X55] :
( p113(X55)
& ~ p114(X55)
& ~ p14(X55)
& r1(X40,X55) ) ) )
& ( ~ p113(X40)
| p114(X40)
| ( ? [X54] :
( p114(X54)
& ~ p115(X54)
& p15(X54)
& r1(X40,X54) )
& ? [X53] :
( p114(X53)
& ~ p115(X53)
& ~ p15(X53)
& r1(X40,X53) ) ) )
& ( ~ p114(X40)
| p115(X40)
| ( ? [X52] :
( p115(X52)
& ~ p116(X52)
& p16(X52)
& r1(X40,X52) )
& ? [X51] :
( p115(X51)
& ~ p116(X51)
& ~ p16(X51)
& r1(X40,X51) ) ) )
& ( ~ p115(X40)
| p116(X40)
| ( ? [X50] :
( p116(X50)
& ~ p117(X50)
& p17(X50)
& r1(X40,X50) )
& ? [X49] :
( p116(X49)
& ~ p117(X49)
& ~ p17(X49)
& r1(X40,X49) ) ) )
& ( ~ p116(X40)
| p117(X40)
| ( ? [X48] :
( p117(X48)
& ~ p118(X48)
& p18(X48)
& r1(X40,X48) )
& ? [X47] :
( p117(X47)
& ~ p118(X47)
& ~ p18(X47)
& r1(X40,X47) ) ) )
& ( ~ p117(X40)
| p118(X40)
| ( ? [X46] :
( p118(X46)
& ~ p119(X46)
& p19(X46)
& r1(X40,X46) )
& ? [X45] :
( p118(X45)
& ~ p119(X45)
& ~ p19(X45)
& r1(X40,X45) ) ) )
& ( ~ p118(X40)
| p119(X40)
| ( ? [X44] :
( p119(X44)
& ~ p120(X44)
& p20(X44)
& r1(X40,X44) )
& ? [X43] :
( p119(X43)
& ~ p120(X43)
& ~ p20(X43)
& r1(X40,X43) ) ) )
& ( ~ p119(X40)
| p120(X40)
| ( ? [X42] :
( p120(X42)
& p21(X42)
& r1(X40,X42) )
& ? [X41] :
( p120(X41)
& ~ p21(X41)
& r1(X40,X41) ) ) ) )
| ~ 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) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p8(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) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ( ( ~ p101(X40)
| p100(X40) )
& ( ~ p102(X40)
| p101(X40) )
& ( ~ p103(X40)
| p102(X40) )
& ( ~ p104(X40)
| p103(X40) )
& ( ~ p105(X40)
| p104(X40) )
& ( ~ p106(X40)
| p105(X40) )
& ( ~ p107(X40)
| p106(X40) )
& ( ~ p108(X40)
| p107(X40) )
& ( ~ p109(X40)
| p108(X40) )
& ( ~ p110(X40)
| p109(X40) )
& ( ~ p111(X40)
| p110(X40) )
& ( ~ p112(X40)
| p111(X40) )
& ( ~ p113(X40)
| p112(X40) )
& ( ~ p114(X40)
| p113(X40) )
& ( ~ p115(X40)
| p114(X40) )
& ( ~ p116(X40)
| p115(X40) )
& ( ~ p117(X40)
| p116(X40) )
& ( ~ p118(X40)
| p117(X40) )
& ( ~ p119(X40)
| p118(X40) )
& ( ~ p120(X40)
| p119(X40) )
& ( ~ p100(X40)
| ( ( ~ p1(X40)
| ! [X122] :
( ~ p100(X122)
| p1(X122)
| ~ r1(X40,X122) ) )
& ( p1(X40)
| ! [X121] :
( ~ p100(X121)
| ~ p1(X121)
| ~ r1(X40,X121) ) ) ) )
& ( ~ p101(X40)
| ( ( ~ p2(X40)
| ! [X120] :
( ~ p101(X120)
| p2(X120)
| ~ r1(X40,X120) ) )
& ( p2(X40)
| ! [X119] :
( ~ p101(X119)
| ~ p2(X119)
| ~ r1(X40,X119) ) ) ) )
& ( ~ p102(X40)
| ( ( ~ p3(X40)
| ! [X118] :
( ~ p102(X118)
| p3(X118)
| ~ r1(X40,X118) ) )
& ( p3(X40)
| ! [X117] :
( ~ p102(X117)
| ~ p3(X117)
| ~ r1(X40,X117) ) ) ) )
& ( ~ p103(X40)
| ( ( ~ p4(X40)
| ! [X116] :
( ~ p103(X116)
| p4(X116)
| ~ r1(X40,X116) ) )
& ( p4(X40)
| ! [X115] :
( ~ p103(X115)
| ~ p4(X115)
| ~ r1(X40,X115) ) ) ) )
& ( ~ p104(X40)
| ( ( ~ p5(X40)
| ! [X114] :
( ~ p104(X114)
| p5(X114)
| ~ r1(X40,X114) ) )
& ( p5(X40)
| ! [X113] :
( ~ p104(X113)
| ~ p5(X113)
| ~ r1(X40,X113) ) ) ) )
& ( ~ p105(X40)
| ( ( ~ p6(X40)
| ! [X112] :
( ~ p105(X112)
| p6(X112)
| ~ r1(X40,X112) ) )
& ( p6(X40)
| ! [X111] :
( ~ p105(X111)
| ~ p6(X111)
| ~ r1(X40,X111) ) ) ) )
& ( ~ p106(X40)
| ( ( ~ p7(X40)
| ! [X110] :
( ~ p106(X110)
| p7(X110)
| ~ r1(X40,X110) ) )
& ( p7(X40)
| ! [X109] :
( ~ p106(X109)
| ~ p7(X109)
| ~ r1(X40,X109) ) ) ) )
& ( ~ p107(X40)
| ( ( ~ p8(X40)
| ! [X108] :
( ~ p107(X108)
| p8(X108)
| ~ r1(X40,X108) ) )
& ( p8(X40)
| ! [X107] :
( ~ p107(X107)
| ~ p8(X107)
| ~ r1(X40,X107) ) ) ) )
& ( ~ p108(X40)
| ( ( ~ p9(X40)
| ! [X106] :
( ~ p108(X106)
| p9(X106)
| ~ r1(X40,X106) ) )
& ( p9(X40)
| ! [X105] :
( ~ p108(X105)
| ~ p9(X105)
| ~ r1(X40,X105) ) ) ) )
& ( ~ p109(X40)
| ( ( ~ p10(X40)
| ! [X104] :
( ~ p109(X104)
| p10(X104)
| ~ r1(X40,X104) ) )
& ( p10(X40)
| ! [X103] :
( ~ p109(X103)
| ~ p10(X103)
| ~ r1(X40,X103) ) ) ) )
& ( ~ p110(X40)
| ( ( ~ p11(X40)
| ! [X102] :
( ~ p110(X102)
| p11(X102)
| ~ r1(X40,X102) ) )
& ( p11(X40)
| ! [X101] :
( ~ p110(X101)
| ~ p11(X101)
| ~ r1(X40,X101) ) ) ) )
& ( ~ p111(X40)
| ( ( ~ p12(X40)
| ! [X100] :
( ~ p111(X100)
| p12(X100)
| ~ r1(X40,X100) ) )
& ( p12(X40)
| ! [X99] :
( ~ p111(X99)
| ~ p12(X99)
| ~ r1(X40,X99) ) ) ) )
& ( ~ p112(X40)
| ( ( ~ p13(X40)
| ! [X98] :
( ~ p112(X98)
| p13(X98)
| ~ r1(X40,X98) ) )
& ( p13(X40)
| ! [X97] :
( ~ p112(X97)
| ~ p13(X97)
| ~ r1(X40,X97) ) ) ) )
& ( ~ p113(X40)
| ( ( ~ p14(X40)
| ! [X96] :
( ~ p113(X96)
| p14(X96)
| ~ r1(X40,X96) ) )
& ( p14(X40)
| ! [X95] :
( ~ p113(X95)
| ~ p14(X95)
| ~ r1(X40,X95) ) ) ) )
& ( ~ p114(X40)
| ( ( ~ p15(X40)
| ! [X94] :
( ~ p114(X94)
| p15(X94)
| ~ r1(X40,X94) ) )
& ( p15(X40)
| ! [X93] :
( ~ p114(X93)
| ~ p15(X93)
| ~ r1(X40,X93) ) ) ) )
& ( ~ p115(X40)
| ( ( ~ p16(X40)
| ! [X92] :
( ~ p115(X92)
| p16(X92)
| ~ r1(X40,X92) ) )
& ( p16(X40)
| ! [X91] :
( ~ p115(X91)
| ~ p16(X91)
| ~ r1(X40,X91) ) ) ) )
& ( ~ p116(X40)
| ( ( ~ p17(X40)
| ! [X90] :
( ~ p116(X90)
| p17(X90)
| ~ r1(X40,X90) ) )
& ( p17(X40)
| ! [X89] :
( ~ p116(X89)
| ~ p17(X89)
| ~ r1(X40,X89) ) ) ) )
& ( ~ p117(X40)
| ( ( ~ p18(X40)
| ! [X88] :
( ~ p117(X88)
| p18(X88)
| ~ r1(X40,X88) ) )
& ( p18(X40)
| ! [X87] :
( ~ p117(X87)
| ~ p18(X87)
| ~ r1(X40,X87) ) ) ) )
& ( ~ p118(X40)
| ( ( ~ p19(X40)
| ! [X86] :
( ~ p118(X86)
| p19(X86)
| ~ r1(X40,X86) ) )
& ( p19(X40)
| ! [X85] :
( ~ p118(X85)
| ~ p19(X85)
| ~ r1(X40,X85) ) ) ) )
& ( ~ p119(X40)
| ( ( ~ p20(X40)
| ! [X84] :
( ~ p119(X84)
| p20(X84)
| ~ r1(X40,X84) ) )
& ( p20(X40)
| ! [X83] :
( ~ p119(X83)
| ~ p20(X83)
| ~ r1(X40,X83) ) ) ) )
& ( ~ p120(X40)
| ( ( ~ p21(X40)
| ! [X82] :
( ~ p120(X82)
| p21(X82)
| ~ r1(X40,X82) ) )
& ( p21(X40)
| ! [X81] :
( ~ p120(X81)
| ~ p21(X81)
| ~ r1(X40,X81) ) ) ) )
& ( ~ p100(X40)
| p101(X40)
| ( ? [X80] :
( p101(X80)
& ~ p102(X80)
& p2(X80)
& r1(X40,X80) )
& ? [X79] :
( p101(X79)
& ~ p102(X79)
& ~ p2(X79)
& r1(X40,X79) ) ) )
& ( ~ p101(X40)
| p102(X40)
| ( ? [X78] :
( p102(X78)
& ~ p103(X78)
& p3(X78)
& r1(X40,X78) )
& ? [X77] :
( p102(X77)
& ~ p103(X77)
& ~ p3(X77)
& r1(X40,X77) ) ) )
& ( ~ p102(X40)
| p103(X40)
| ( ? [X76] :
( p103(X76)
& ~ p104(X76)
& p4(X76)
& r1(X40,X76) )
& ? [X75] :
( p103(X75)
& ~ p104(X75)
& ~ p4(X75)
& r1(X40,X75) ) ) )
& ( ~ p103(X40)
| p104(X40)
| ( ? [X74] :
( p104(X74)
& ~ p105(X74)
& p5(X74)
& r1(X40,X74) )
& ? [X73] :
( p104(X73)
& ~ p105(X73)
& ~ p5(X73)
& r1(X40,X73) ) ) )
& ( ~ p104(X40)
| p105(X40)
| ( ? [X72] :
( p105(X72)
& ~ p106(X72)
& p6(X72)
& r1(X40,X72) )
& ? [X71] :
( p105(X71)
& ~ p106(X71)
& ~ p6(X71)
& r1(X40,X71) ) ) )
& ( ~ p105(X40)
| p106(X40)
| ( ? [X70] :
( p106(X70)
& ~ p107(X70)
& p7(X70)
& r1(X40,X70) )
& ? [X69] :
( p106(X69)
& ~ p107(X69)
& ~ p7(X69)
& r1(X40,X69) ) ) )
& ( ~ p106(X40)
| p107(X40)
| ( ? [X68] :
( p107(X68)
& ~ p108(X68)
& p8(X68)
& r1(X40,X68) )
& ? [X67] :
( p107(X67)
& ~ p108(X67)
& ~ p8(X67)
& r1(X40,X67) ) ) )
& ( ~ p107(X40)
| p108(X40)
| ( ? [X66] :
( p108(X66)
& ~ p109(X66)
& p9(X66)
& r1(X40,X66) )
& ? [X65] :
( p108(X65)
& ~ p109(X65)
& ~ p9(X65)
& r1(X40,X65) ) ) )
& ( ~ p108(X40)
| p109(X40)
| ( ? [X64] :
( p109(X64)
& ~ p110(X64)
& p10(X64)
& r1(X40,X64) )
& ? [X63] :
( p109(X63)
& ~ p110(X63)
& ~ p10(X63)
& r1(X40,X63) ) ) )
& ( ~ p109(X40)
| p110(X40)
| ( ? [X62] :
( p110(X62)
& ~ p111(X62)
& p11(X62)
& r1(X40,X62) )
& ? [X61] :
( p110(X61)
& ~ p111(X61)
& ~ p11(X61)
& r1(X40,X61) ) ) )
& ( ~ p110(X40)
| p111(X40)
| ( ? [X60] :
( p111(X60)
& ~ p112(X60)
& p12(X60)
& r1(X40,X60) )
& ? [X59] :
( p111(X59)
& ~ p112(X59)
& ~ p12(X59)
& r1(X40,X59) ) ) )
& ( ~ p111(X40)
| p112(X40)
| ( ? [X58] :
( p112(X58)
& ~ p113(X58)
& p13(X58)
& r1(X40,X58) )
& ? [X57] :
( p112(X57)
& ~ p113(X57)
& ~ p13(X57)
& r1(X40,X57) ) ) )
& ( ~ p112(X40)
| p113(X40)
| ( ? [X56] :
( p113(X56)
& ~ p114(X56)
& p14(X56)
& r1(X40,X56) )
& ? [X55] :
( p113(X55)
& ~ p114(X55)
& ~ p14(X55)
& r1(X40,X55) ) ) )
& ( ~ p113(X40)
| p114(X40)
| ( ? [X54] :
( p114(X54)
& ~ p115(X54)
& p15(X54)
& r1(X40,X54) )
& ? [X53] :
( p114(X53)
& ~ p115(X53)
& ~ p15(X53)
& r1(X40,X53) ) ) )
& ( ~ p114(X40)
| p115(X40)
| ( ? [X52] :
( p115(X52)
& ~ p116(X52)
& p16(X52)
& r1(X40,X52) )
& ? [X51] :
( p115(X51)
& ~ p116(X51)
& ~ p16(X51)
& r1(X40,X51) ) ) )
& ( ~ p115(X40)
| p116(X40)
| ( ? [X50] :
( p116(X50)
& ~ p117(X50)
& p17(X50)
& r1(X40,X50) )
& ? [X49] :
( p116(X49)
& ~ p117(X49)
& ~ p17(X49)
& r1(X40,X49) ) ) )
& ( ~ p116(X40)
| p117(X40)
| ( ? [X48] :
( p117(X48)
& ~ p118(X48)
& p18(X48)
& r1(X40,X48) )
& ? [X47] :
( p117(X47)
& ~ p118(X47)
& ~ p18(X47)
& r1(X40,X47) ) ) )
& ( ~ p117(X40)
| p118(X40)
| ( ? [X46] :
( p118(X46)
& ~ p119(X46)
& p19(X46)
& r1(X40,X46) )
& ? [X45] :
( p118(X45)
& ~ p119(X45)
& ~ p19(X45)
& r1(X40,X45) ) ) )
& ( ~ p118(X40)
| p119(X40)
| ( ? [X44] :
( p119(X44)
& ~ p120(X44)
& p20(X44)
& r1(X40,X44) )
& ? [X43] :
( p119(X43)
& ~ p120(X43)
& ~ p20(X43)
& r1(X40,X43) ) ) )
& ( ~ p119(X40)
| p120(X40)
| ( ? [X42] :
( p120(X42)
& p21(X42)
& r1(X40,X42) )
& ? [X41] :
( p120(X41)
& ~ p21(X41)
& r1(X40,X41) ) ) ) )
| ~ 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) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p8(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) ) ),
inference(flattening,[],[f7]) ).
fof(f52,plain,
! [X40] :
( ~ sP41(X40)
| ( ( ~ p101(X40)
| p100(X40) )
& ( ~ p102(X40)
| p101(X40) )
& ( ~ p103(X40)
| p102(X40) )
& ( ~ p104(X40)
| p103(X40) )
& ( ~ p105(X40)
| p104(X40) )
& ( ~ p106(X40)
| p105(X40) )
& ( ~ p107(X40)
| p106(X40) )
& ( ~ p108(X40)
| p107(X40) )
& ( ~ p109(X40)
| p108(X40) )
& ( ~ p110(X40)
| p109(X40) )
& ( ~ p111(X40)
| p110(X40) )
& ( ~ p112(X40)
| p111(X40) )
& ( ~ p113(X40)
| p112(X40) )
& ( ~ p114(X40)
| p113(X40) )
& ( ~ p115(X40)
| p114(X40) )
& ( ~ p116(X40)
| p115(X40) )
& ( ~ p117(X40)
| p116(X40) )
& ( ~ p118(X40)
| p117(X40) )
& ( ~ p119(X40)
| p118(X40) )
& ( ~ p120(X40)
| p119(X40) )
& sP20(X40)
& sP21(X40)
& sP22(X40)
& sP23(X40)
& sP24(X40)
& sP25(X40)
& sP26(X40)
& sP27(X40)
& sP28(X40)
& sP29(X40)
& sP30(X40)
& sP31(X40)
& sP32(X40)
& sP33(X40)
& sP34(X40)
& sP35(X40)
& sP36(X40)
& sP37(X40)
& sP38(X40)
& sP39(X40)
& sP40(X40)
& sP0(X40)
& sP1(X40)
& sP2(X40)
& sP3(X40)
& sP4(X40)
& sP5(X40)
& sP6(X40)
& sP7(X40)
& sP8(X40)
& sP9(X40)
& sP10(X40)
& sP11(X40)
& sP12(X40)
& sP13(X40)
& sP14(X40)
& sP15(X40)
& sP16(X40)
& sP17(X40)
& sP18(X40)
& sP19(X40) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f53,plain,
! [X0] :
( ~ sP41(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) )
& sP20(X0)
& sP21(X0)
& sP22(X0)
& sP23(X0)
& sP24(X0)
& sP25(X0)
& sP26(X0)
& sP27(X0)
& sP28(X0)
& sP29(X0)
& sP30(X0)
& sP31(X0)
& sP32(X0)
& sP33(X0)
& sP34(X0)
& sP35(X0)
& sP36(X0)
& sP37(X0)
& sP38(X0)
& sP39(X0)
& sP40(X0)
& sP0(X0)
& sP1(X0)
& sP2(X0)
& sP3(X0)
& sP4(X0)
& sP5(X0)
& sP6(X0)
& sP7(X0)
& sP8(X0)
& sP9(X0)
& sP10(X0)
& sP11(X0)
& sP12(X0)
& sP13(X0)
& sP14(X0)
& sP15(X0)
& sP16(X0)
& sP17(X0)
& sP18(X0)
& sP19(X0) ) ),
inference(rectify,[],[f52]) ).
fof(f135,plain,
! [X40] :
( ~ sP6(X40)
| ~ p106(X40)
| p107(X40)
| ( ? [X68] :
( p107(X68)
& ~ p108(X68)
& p8(X68)
& r1(X40,X68) )
& ? [X67] :
( p107(X67)
& ~ p108(X67)
& ~ p8(X67)
& r1(X40,X67) ) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f136,plain,
! [X0] :
( ~ sP6(X0)
| ~ p106(X0)
| p107(X0)
| ( ? [X2] :
( p107(X2)
& ~ p108(X2)
& p8(X2)
& r1(X0,X2) )
& ? [X1] :
( p107(X1)
& ~ p108(X1)
& ~ p8(X1)
& r1(X0,X1) ) ) ),
inference(rectify,[],[f135]) ).
fof(f137,plain,
! [X0] :
( ~ sP6(X0)
| ~ p106(X0)
| p107(X0)
| ( p107(sK69(X0))
& ~ p108(sK69(X0))
& p8(sK69(X0))
& r1(X0,sK69(X0))
& p107(sK68(X0))
& ~ p108(sK68(X0))
& ~ p8(sK68(X0))
& r1(X0,sK68(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68,sK69]),skolemize(X1,sK68(X0)),skolemize(X2,sK69(X0))],[f136]) ).
fof(f138,plain,
! [X40] :
( ~ sP5(X40)
| ~ p105(X40)
| p106(X40)
| ( ? [X70] :
( p106(X70)
& ~ p107(X70)
& p7(X70)
& r1(X40,X70) )
& ? [X69] :
( p106(X69)
& ~ p107(X69)
& ~ p7(X69)
& r1(X40,X69) ) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f139,plain,
! [X0] :
( ~ sP5(X0)
| ~ p105(X0)
| p106(X0)
| ( ? [X2] :
( p106(X2)
& ~ p107(X2)
& p7(X2)
& r1(X0,X2) )
& ? [X1] :
( p106(X1)
& ~ p107(X1)
& ~ p7(X1)
& r1(X0,X1) ) ) ),
inference(rectify,[],[f138]) ).
fof(f140,plain,
! [X0] :
( ~ sP5(X0)
| ~ p105(X0)
| p106(X0)
| ( p106(sK71(X0))
& ~ p107(sK71(X0))
& p7(sK71(X0))
& r1(X0,sK71(X0))
& p106(sK70(X0))
& ~ p107(sK70(X0))
& ~ p7(sK70(X0))
& r1(X0,sK70(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70,sK71]),skolemize(X1,sK70(X0)),skolemize(X2,sK71(X0))],[f139]) ).
fof(f141,plain,
! [X40] :
( ~ sP4(X40)
| ~ p104(X40)
| p105(X40)
| ( ? [X72] :
( p105(X72)
& ~ p106(X72)
& p6(X72)
& r1(X40,X72) )
& ? [X71] :
( p105(X71)
& ~ p106(X71)
& ~ p6(X71)
& r1(X40,X71) ) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f142,plain,
! [X0] :
( ~ sP4(X0)
| ~ p104(X0)
| p105(X0)
| ( ? [X2] :
( p105(X2)
& ~ p106(X2)
& p6(X2)
& r1(X0,X2) )
& ? [X1] :
( p105(X1)
& ~ p106(X1)
& ~ p6(X1)
& r1(X0,X1) ) ) ),
inference(rectify,[],[f141]) ).
fof(f143,plain,
! [X0] :
( ~ sP4(X0)
| ~ p104(X0)
| p105(X0)
| ( p105(sK73(X0))
& ~ p106(sK73(X0))
& p6(sK73(X0))
& r1(X0,sK73(X0))
& p105(sK72(X0))
& ~ p106(sK72(X0))
& ~ p6(sK72(X0))
& r1(X0,sK72(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72,sK73]),skolemize(X1,sK72(X0)),skolemize(X2,sK73(X0))],[f142]) ).
fof(f144,plain,
! [X40] :
( ~ sP3(X40)
| ~ p103(X40)
| p104(X40)
| ( ? [X74] :
( p104(X74)
& ~ p105(X74)
& p5(X74)
& r1(X40,X74) )
& ? [X73] :
( p104(X73)
& ~ p105(X73)
& ~ p5(X73)
& r1(X40,X73) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f145,plain,
! [X0] :
( ~ sP3(X0)
| ~ p103(X0)
| p104(X0)
| ( ? [X2] :
( p104(X2)
& ~ p105(X2)
& p5(X2)
& r1(X0,X2) )
& ? [X1] :
( p104(X1)
& ~ p105(X1)
& ~ p5(X1)
& r1(X0,X1) ) ) ),
inference(rectify,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ~ sP3(X0)
| ~ p103(X0)
| p104(X0)
| ( p104(sK75(X0))
& ~ p105(sK75(X0))
& p5(sK75(X0))
& r1(X0,sK75(X0))
& p104(sK74(X0))
& ~ p105(sK74(X0))
& ~ p5(sK74(X0))
& r1(X0,sK74(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK74,sK75]),skolemize(X1,sK74(X0)),skolemize(X2,sK75(X0))],[f145]) ).
fof(f147,plain,
! [X40] :
( ~ sP2(X40)
| ~ p102(X40)
| p103(X40)
| ( ? [X76] :
( p103(X76)
& ~ p104(X76)
& p4(X76)
& r1(X40,X76) )
& ? [X75] :
( p103(X75)
& ~ p104(X75)
& ~ p4(X75)
& r1(X40,X75) ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f148,plain,
! [X0] :
( ~ sP2(X0)
| ~ p102(X0)
| p103(X0)
| ( ? [X2] :
( p103(X2)
& ~ p104(X2)
& p4(X2)
& r1(X0,X2) )
& ? [X1] :
( p103(X1)
& ~ p104(X1)
& ~ p4(X1)
& r1(X0,X1) ) ) ),
inference(rectify,[],[f147]) ).
fof(f149,plain,
! [X0] :
( ~ sP2(X0)
| ~ p102(X0)
| p103(X0)
| ( p103(sK77(X0))
& ~ p104(sK77(X0))
& p4(sK77(X0))
& r1(X0,sK77(X0))
& p103(sK76(X0))
& ~ p104(sK76(X0))
& ~ p4(sK76(X0))
& r1(X0,sK76(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76,sK77]),skolemize(X1,sK76(X0)),skolemize(X2,sK77(X0))],[f148]) ).
fof(f150,plain,
! [X40] :
( ~ sP1(X40)
| ~ p101(X40)
| p102(X40)
| ( ? [X78] :
( p102(X78)
& ~ p103(X78)
& p3(X78)
& r1(X40,X78) )
& ? [X77] :
( p102(X77)
& ~ p103(X77)
& ~ p3(X77)
& r1(X40,X77) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f151,plain,
! [X0] :
( ~ sP1(X0)
| ~ p101(X0)
| p102(X0)
| ( ? [X2] :
( p102(X2)
& ~ p103(X2)
& p3(X2)
& r1(X0,X2) )
& ? [X1] :
( p102(X1)
& ~ p103(X1)
& ~ p3(X1)
& r1(X0,X1) ) ) ),
inference(rectify,[],[f150]) ).
fof(f152,plain,
! [X0] :
( ~ sP1(X0)
| ~ p101(X0)
| p102(X0)
| ( p102(sK79(X0))
& ~ p103(sK79(X0))
& p3(sK79(X0))
& r1(X0,sK79(X0))
& p102(sK78(X0))
& ~ p103(sK78(X0))
& ~ p3(sK78(X0))
& r1(X0,sK78(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78,sK79]),skolemize(X1,sK78(X0)),skolemize(X2,sK79(X0))],[f151]) ).
fof(f156,plain,
( p100(sK82)
& ~ p101(sK82)
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( sP41(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) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p8(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(skolemize,[status(esa),new_symbols(skolem,[sK82]),skolemize(X0,sK82)],[f51]) ).
fof(f157,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f199,plain,
! [X0] :
( ~ sP41(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f200,plain,
! [X0] :
( ~ sP41(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f201,plain,
! [X0] :
( ~ sP41(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f202,plain,
! [X0] :
( ~ sP41(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f203,plain,
! [X0] :
( ~ sP41(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f204,plain,
! [X0] :
( ~ sP41(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f205,plain,
! [X0] :
( ~ sP41(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f369,plain,
! [X0] :
( ~ sP6(X0)
| ~ p106(X0)
| p107(X0)
| ~ p8(sK68(X0)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f370,plain,
! [X0] :
( ~ sP6(X0)
| ~ p106(X0)
| p107(X0)
| r1(X0,sK68(X0)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f371,plain,
! [X0] :
( ~ sP5(X0)
| ~ p105(X0)
| p106(X0)
| p106(sK71(X0)) ),
inference(cnf_transformation,[],[f140]) ).
fof(f372,plain,
! [X0] :
( ~ sP5(X0)
| ~ p105(X0)
| p106(X0)
| ~ p107(sK71(X0)) ),
inference(cnf_transformation,[],[f140]) ).
fof(f374,plain,
! [X0] :
( ~ sP5(X0)
| ~ p105(X0)
| p106(X0)
| r1(X0,sK71(X0)) ),
inference(cnf_transformation,[],[f140]) ).
fof(f379,plain,
! [X0] :
( ~ sP4(X0)
| ~ p104(X0)
| p105(X0)
| p105(sK73(X0)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f380,plain,
! [X0] :
( ~ sP4(X0)
| ~ p104(X0)
| p105(X0)
| ~ p106(sK73(X0)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f382,plain,
! [X0] :
( ~ sP4(X0)
| ~ p104(X0)
| p105(X0)
| r1(X0,sK73(X0)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f387,plain,
! [X0] :
( ~ sP3(X0)
| ~ p103(X0)
| p104(X0)
| p104(sK75(X0)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f388,plain,
! [X0] :
( ~ sP3(X0)
| ~ p103(X0)
| p104(X0)
| ~ p105(sK75(X0)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f390,plain,
! [X0] :
( ~ sP3(X0)
| ~ p103(X0)
| p104(X0)
| r1(X0,sK75(X0)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f395,plain,
! [X0] :
( ~ sP2(X0)
| ~ p102(X0)
| p103(X0)
| p103(sK77(X0)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f396,plain,
! [X0] :
( ~ sP2(X0)
| ~ p102(X0)
| p103(X0)
| ~ p104(sK77(X0)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f398,plain,
! [X0] :
( ~ sP2(X0)
| ~ p102(X0)
| p103(X0)
| r1(X0,sK77(X0)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f403,plain,
! [X0] :
( ~ sP1(X0)
| ~ p101(X0)
| p102(X0)
| p102(sK79(X0)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f404,plain,
! [X0] :
( ~ sP1(X0)
| ~ p101(X0)
| p102(X0)
| ~ p103(sK79(X0)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f406,plain,
! [X0] :
( ~ sP1(X0)
| ~ p101(X0)
| p102(X0)
| r1(X0,sK79(X0)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f419,plain,
p100(sK82),
inference(cnf_transformation,[],[f156]) ).
fof(f420,plain,
~ p101(sK82),
inference(cnf_transformation,[],[f156]) ).
fof(f421,plain,
! [X35,X31,X21,X28,X38,X29,X36,X39,X40,X37,X26,X27,X34,X24,X22,X25,X23,X30,X32,X33] :
( sP41(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,[],[f156]) ).
fof(f422,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13,X20] :
( p8(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,[],[f156]) ).
tcf(c_49,plain,
! [X0: $i] : r1(X0,X0),
inference(cnf_transformation,[],[f157]) ).
tcf(c_63,plain,
! [X0: $i] :
( sP6(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_64,plain,
! [X0: $i] :
( sP5(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_65,plain,
! [X0: $i] :
( sP4(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_66,plain,
! [X0: $i] :
( sP3(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_67,plain,
! [X0: $i] :
( sP2(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_68,plain,
! [X0: $i] :
( sP1(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_69,plain,
! [X0: $i] :
( sP0(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_255,plain,
! [X0: $i] :
( p107(X0)
| r1(X0,sK68(X0))
| ~ p106(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_256,plain,
! [X0: $i] :
( p107(X0)
| ~ p106(X0)
| ~ sP6(X0)
| ~ p8(sK68(X0)) ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_267,plain,
! [X0: $i] :
( p106(X0)
| r1(X0,sK71(X0))
| ~ p105(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f374]) ).
tcf(c_269,plain,
! [X0: $i] :
( p106(X0)
| ~ p105(X0)
| ~ sP5(X0)
| ~ p107(sK71(X0)) ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_270,plain,
! [X0: $i] :
( p106(X0)
| p106(sK71(X0))
| ~ p105(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f371]) ).
tcf(c_275,plain,
! [X0: $i] :
( p105(X0)
| r1(X0,sK73(X0))
| ~ p104(X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_277,plain,
! [X0: $i] :
( p105(X0)
| ~ p104(X0)
| ~ sP4(X0)
| ~ p106(sK73(X0)) ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_278,plain,
! [X0: $i] :
( p105(X0)
| p105(sK73(X0))
| ~ p104(X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f379]) ).
tcf(c_283,plain,
! [X0: $i] :
( p104(X0)
| r1(X0,sK75(X0))
| ~ p103(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f390]) ).
tcf(c_285,plain,
! [X0: $i] :
( p104(X0)
| ~ p103(X0)
| ~ sP3(X0)
| ~ p105(sK75(X0)) ),
inference(cnf_transformation,[],[f388]) ).
tcf(c_286,plain,
! [X0: $i] :
( p104(X0)
| p104(sK75(X0))
| ~ p103(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_291,plain,
! [X0: $i] :
( p103(X0)
| r1(X0,sK77(X0))
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_293,plain,
! [X0: $i] :
( p103(X0)
| ~ p102(X0)
| ~ sP2(X0)
| ~ p104(sK77(X0)) ),
inference(cnf_transformation,[],[f396]) ).
tcf(c_294,plain,
! [X0: $i] :
( p103(X0)
| p103(sK77(X0))
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f395]) ).
tcf(c_299,plain,
! [X0: $i] :
( p102(X0)
| r1(X0,sK79(X0))
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f406]) ).
tcf(c_301,plain,
! [X0: $i] :
( p102(X0)
| ~ p101(X0)
| ~ sP1(X0)
| ~ p103(sK79(X0)) ),
inference(cnf_transformation,[],[f404]) ).
tcf(c_302,plain,
! [X0: $i] :
( p102(X0)
| p102(sK79(X0))
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f403]) ).
tcf(c_311,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
( p8(X19)
| ~ r1(sK82,X0)
| ~ 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) ),
inference(cnf_transformation,[],[f422]) ).
tcf(c_312,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
( sP41(X19)
| ~ r1(sK82,X0)
| ~ 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) ),
inference(cnf_transformation,[],[f421]) ).
tcf(c_313,negated_conjecture,
~ p101(sK82),
inference(cnf_transformation,[],[f420]) ).
tcf(c_314,negated_conjecture,
p100(sK82),
inference(cnf_transformation,[],[f419]) ).
tcf(c_315,plain,
r1(sK82,sK82),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_337,plain,
( sP0(sK82)
| ~ sP41(sK82) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_526,plain,
( sP41(sK82)
| ~ r1(sK82,sK82) ),
inference(instantiation,[status(thm)],[c_312]) ).
tcf(c_530,plain,
! [X0: $i] :
( p102(sK80(X0))
| p102(sK79(sK80(X0)))
| ~ p101(sK80(X0))
| ~ sP1(sK80(X0)) ),
inference(instantiation,[status(thm)],[c_302]) ).
tcf(c_531,plain,
! [X0: $i] :
( p102(sK80(X0))
| ~ p101(sK80(X0))
| ~ sP1(sK80(X0))
| ~ p103(sK79(sK80(X0))) ),
inference(instantiation,[status(thm)],[c_301]) ).
tcf(c_540,plain,
( p102(sK80(sK82))
| ~ p101(sK80(sK82))
| ~ sP1(sK80(sK82))
| ~ p103(sK79(sK80(sK82))) ),
inference(instantiation,[status(thm)],[c_531]) ).
tcf(c_541,plain,
( p102(sK80(sK82))
| p102(sK79(sK80(sK82)))
| ~ p101(sK80(sK82))
| ~ sP1(sK80(sK82)) ),
inference(instantiation,[status(thm)],[c_530]) ).
tcf(c_599,plain,
! [X0: $i] :
( p102(sK80(X0))
| r1(sK80(X0),sK79(sK80(X0)))
| ~ p101(sK80(X0))
| ~ sP1(sK80(X0)) ),
inference(instantiation,[status(thm)],[c_299]) ).
tcf(c_600,plain,
( p102(sK80(sK82))
| r1(sK80(sK82),sK79(sK80(sK82)))
| ~ p101(sK80(sK82))
| ~ sP1(sK80(sK82)) ),
inference(instantiation,[status(thm)],[c_599]) ).
tcf(c_649,plain,
! [X0: $i] :
( p103(sK79(sK80(X0)))
| p103(sK77(sK79(sK80(X0))))
| ~ p102(sK79(sK80(X0)))
| ~ sP2(sK79(sK80(X0))) ),
inference(instantiation,[status(thm)],[c_294]) ).
tcf(c_650,plain,
! [X0: $i] :
( p103(sK79(sK80(X0)))
| ~ p102(sK79(sK80(X0)))
| ~ sP2(sK79(sK80(X0)))
| ~ p104(sK77(sK79(sK80(X0)))) ),
inference(instantiation,[status(thm)],[c_293]) ).
tcf(c_655,plain,
! [X0: $i] :
( p103(sK79(sK80(X0)))
| r1(sK79(sK80(X0)),sK77(sK79(sK80(X0))))
| ~ p102(sK79(sK80(X0)))
| ~ sP2(sK79(sK80(X0))) ),
inference(instantiation,[status(thm)],[c_291]) ).
tcf(c_660,plain,
( p103(sK79(sK80(sK82)))
| r1(sK79(sK80(sK82)),sK77(sK79(sK80(sK82))))
| ~ p102(sK79(sK80(sK82)))
| ~ sP2(sK79(sK80(sK82))) ),
inference(instantiation,[status(thm)],[c_655]) ).
tcf(c_665,plain,
( p103(sK79(sK80(sK82)))
| ~ p102(sK79(sK80(sK82)))
| ~ sP2(sK79(sK80(sK82)))
| ~ p104(sK77(sK79(sK80(sK82)))) ),
inference(instantiation,[status(thm)],[c_650]) ).
tcf(c_666,plain,
( p103(sK79(sK80(sK82)))
| p103(sK77(sK79(sK80(sK82))))
| ~ p102(sK79(sK80(sK82)))
| ~ sP2(sK79(sK80(sK82))) ),
inference(instantiation,[status(thm)],[c_649]) ).
tcf(c_709,plain,
! [X0: $i] :
( sP1(sK80(X0))
| ~ sP41(sK80(X0)) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_710,plain,
( sP1(sK80(sK82))
| ~ sP41(sK80(sK82)) ),
inference(instantiation,[status(thm)],[c_709]) ).
tcf(c_725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
( sP41(sK80(X1))
| ~ r1(sK82,X2)
| ~ r1(X19,X0)
| ~ 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(X0,sK80(X1)) ),
inference(instantiation,[status(thm)],[c_312]) ).
tcf(c_726,plain,
( sP41(sK80(sK82))
| ~ r1(sK82,sK82)
| ~ r1(sK82,sK80(sK82)) ),
inference(instantiation,[status(thm)],[c_725]) ).
tcf(c_787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
( sP41(sK79(sK80(X1)))
| ~ r1(sK82,X2)
| ~ r1(X19,X0)
| ~ 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(X0,sK79(sK80(X1))) ),
inference(instantiation,[status(thm)],[c_312]) ).
tcf(c_933,plain,
! [X0: $i] :
( sP2(sK79(sK80(X0)))
| ~ sP41(sK79(sK80(X0))) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_934,plain,
( sP2(sK79(sK80(sK82)))
| ~ sP41(sK79(sK80(sK82))) ),
inference(instantiation,[status(thm)],[c_933]) ).
tcf(c_994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
( sP41(sK79(sK80(X0)))
| ~ r1(sK82,X2)
| ~ r1(X18,X1)
| ~ 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,sK80(X0))
| ~ r1(sK80(X0),sK79(sK80(X0))) ),
inference(instantiation,[status(thm)],[c_787]) ).
tcf(c_995,plain,
( sP41(sK79(sK80(sK82)))
| ~ r1(sK82,sK82)
| ~ r1(sK82,sK80(sK82))
| ~ r1(sK80(sK82),sK79(sK80(sK82))) ),
inference(instantiation,[status(thm)],[c_994]) ).
tcf(c_1245,plain,
! [X0: $i] :
( p104(sK77(sK79(sK80(X0))))
| p104(sK75(sK77(sK79(sK80(X0)))))
| ~ p103(sK77(sK79(sK80(X0))))
| ~ sP3(sK77(sK79(sK80(X0)))) ),
inference(instantiation,[status(thm)],[c_286]) ).
tcf(c_1246,plain,
! [X0: $i] :
( p104(sK77(sK79(sK80(X0))))
| ~ p103(sK77(sK79(sK80(X0))))
| ~ sP3(sK77(sK79(sK80(X0))))
| ~ p105(sK75(sK77(sK79(sK80(X0))))) ),
inference(instantiation,[status(thm)],[c_285]) ).
tcf(c_1251,plain,
! [X0: $i] :
( p104(sK77(sK79(sK80(X0))))
| r1(sK77(sK79(sK80(X0))),sK75(sK77(sK79(sK80(X0)))))
| ~ p103(sK77(sK79(sK80(X0))))
| ~ sP3(sK77(sK79(sK80(X0)))) ),
inference(instantiation,[status(thm)],[c_283]) ).
tcf(c_1256,plain,
( p104(sK77(sK79(sK80(sK82))))
| r1(sK77(sK79(sK80(sK82))),sK75(sK77(sK79(sK80(sK82)))))
| ~ p103(sK77(sK79(sK80(sK82))))
| ~ sP3(sK77(sK79(sK80(sK82)))) ),
inference(instantiation,[status(thm)],[c_1251]) ).
tcf(c_1261,plain,
( p104(sK77(sK79(sK80(sK82))))
| ~ p103(sK77(sK79(sK80(sK82))))
| ~ sP3(sK77(sK79(sK80(sK82))))
| ~ p105(sK75(sK77(sK79(sK80(sK82))))) ),
inference(instantiation,[status(thm)],[c_1246]) ).
tcf(c_1262,plain,
( p104(sK77(sK79(sK80(sK82))))
| p104(sK75(sK77(sK79(sK80(sK82)))))
| ~ p103(sK77(sK79(sK80(sK82))))
| ~ sP3(sK77(sK79(sK80(sK82)))) ),
inference(instantiation,[status(thm)],[c_1245]) ).
tcf(c_1485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
( sP41(sK77(sK79(sK80(X1))))
| ~ r1(sK82,X2)
| ~ r1(X19,X0)
| ~ 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(X0,sK77(sK79(sK80(X1)))) ),
inference(instantiation,[status(thm)],[c_312]) ).
tcf(c_1669,plain,
! [X0: $i] :
( sP3(sK77(sK79(sK80(X0))))
| ~ sP41(sK77(sK79(sK80(X0)))) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_1670,plain,
( sP3(sK77(sK79(sK80(sK82))))
| ~ sP41(sK77(sK79(sK80(sK82)))) ),
inference(instantiation,[status(thm)],[c_1669]) ).
tcf(c_1961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
( sP41(sK77(sK79(sK80(X0))))
| ~ r1(sK82,X2)
| ~ r1(X18,X1)
| ~ 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,sK79(sK80(X0)))
| ~ r1(sK79(sK80(X0)),sK77(sK79(sK80(X0)))) ),
inference(instantiation,[status(thm)],[c_1485]) ).
tcf(c_2438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( sP41(sK77(sK79(sK80(X0))))
| ~ r1(sK82,X2)
| ~ r1(X17,X1)
| ~ 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,sK80(X0))
| ~ r1(sK80(X0),sK79(sK80(X0)))
| ~ r1(sK79(sK80(X0)),sK77(sK79(sK80(X0)))) ),
inference(instantiation,[status(thm)],[c_1961]) ).
tcf(c_2439,plain,
( sP41(sK77(sK79(sK80(sK82))))
| ~ r1(sK82,sK82)
| ~ r1(sK82,sK80(sK82))
| ~ r1(sK80(sK82),sK79(sK80(sK82)))
| ~ r1(sK79(sK80(sK82)),sK77(sK79(sK80(sK82)))) ),
inference(instantiation,[status(thm)],[c_2438]) ).
tcf(c_3292,plain,
! [X0: $i] :
( p105(sK75(sK77(sK79(sK80(X0)))))
| p105(sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ p104(sK75(sK77(sK79(sK80(X0)))))
| ~ sP4(sK75(sK77(sK79(sK80(X0))))) ),
inference(instantiation,[status(thm)],[c_278]) ).
tcf(c_3293,plain,
! [X0: $i] :
( p105(sK75(sK77(sK79(sK80(X0)))))
| ~ p104(sK75(sK77(sK79(sK80(X0)))))
| ~ sP4(sK75(sK77(sK79(sK80(X0)))))
| ~ p106(sK73(sK75(sK77(sK79(sK80(X0)))))) ),
inference(instantiation,[status(thm)],[c_277]) ).
tcf(c_3298,plain,
! [X0: $i] :
( p105(sK75(sK77(sK79(sK80(X0)))))
| r1(sK75(sK77(sK79(sK80(X0)))),sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ p104(sK75(sK77(sK79(sK80(X0)))))
| ~ sP4(sK75(sK77(sK79(sK80(X0))))) ),
inference(instantiation,[status(thm)],[c_275]) ).
tcf(c_3303,plain,
( p105(sK75(sK77(sK79(sK80(sK82)))))
| r1(sK75(sK77(sK79(sK80(sK82)))),sK73(sK75(sK77(sK79(sK80(sK82))))))
| ~ p104(sK75(sK77(sK79(sK80(sK82)))))
| ~ sP4(sK75(sK77(sK79(sK80(sK82))))) ),
inference(instantiation,[status(thm)],[c_3298]) ).
tcf(c_3308,plain,
( p105(sK75(sK77(sK79(sK80(sK82)))))
| ~ p104(sK75(sK77(sK79(sK80(sK82)))))
| ~ sP4(sK75(sK77(sK79(sK80(sK82)))))
| ~ p106(sK73(sK75(sK77(sK79(sK80(sK82)))))) ),
inference(instantiation,[status(thm)],[c_3293]) ).
tcf(c_3309,plain,
( p105(sK75(sK77(sK79(sK80(sK82)))))
| p105(sK73(sK75(sK77(sK79(sK80(sK82))))))
| ~ p104(sK75(sK77(sK79(sK80(sK82)))))
| ~ sP4(sK75(sK77(sK79(sK80(sK82))))) ),
inference(instantiation,[status(thm)],[c_3292]) ).
tcf(c_3812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
( sP41(sK75(sK77(sK79(sK80(X1)))))
| ~ r1(sK82,X2)
| ~ r1(X19,X0)
| ~ 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(X0,sK75(sK77(sK79(sK80(X1))))) ),
inference(instantiation,[status(thm)],[c_312]) ).
tcf(c_3902,plain,
! [X0: $i] :
( sP4(sK75(sK77(sK79(sK80(X0)))))
| ~ sP41(sK75(sK77(sK79(sK80(X0))))) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_3903,plain,
( sP4(sK75(sK77(sK79(sK80(sK82)))))
| ~ sP41(sK75(sK77(sK79(sK80(sK82))))) ),
inference(instantiation,[status(thm)],[c_3902]) ).
tcf(c_6032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
( sP41(sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK82,X2)
| ~ r1(X18,X1)
| ~ 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,sK77(sK79(sK80(X0))))
| ~ r1(sK77(sK79(sK80(X0))),sK75(sK77(sK79(sK80(X0))))) ),
inference(instantiation,[status(thm)],[c_3812]) ).
tcf(c_6629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( sP41(sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK82,X2)
| ~ r1(X17,X1)
| ~ 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,sK79(sK80(X0)))
| ~ r1(sK79(sK80(X0)),sK77(sK79(sK80(X0))))
| ~ r1(sK77(sK79(sK80(X0))),sK75(sK77(sK79(sK80(X0))))) ),
inference(instantiation,[status(thm)],[c_6032]) ).
tcf(c_7457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
( sP41(sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK82,X2)
| ~ r1(X16,X1)
| ~ 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,sK80(X0))
| ~ r1(sK80(X0),sK79(sK80(X0)))
| ~ r1(sK79(sK80(X0)),sK77(sK79(sK80(X0))))
| ~ r1(sK77(sK79(sK80(X0))),sK75(sK77(sK79(sK80(X0))))) ),
inference(instantiation,[status(thm)],[c_6629]) ).
tcf(c_7458,plain,
( sP41(sK75(sK77(sK79(sK80(sK82)))))
| ~ r1(sK82,sK82)
| ~ r1(sK82,sK80(sK82))
| ~ r1(sK80(sK82),sK79(sK80(sK82)))
| ~ r1(sK79(sK80(sK82)),sK77(sK79(sK80(sK82))))
| ~ r1(sK77(sK79(sK80(sK82))),sK75(sK77(sK79(sK80(sK82))))) ),
inference(instantiation,[status(thm)],[c_7457]) ).
tcf(c_9542,plain,
! [X0: $i] :
( p106(sK73(sK75(sK77(sK79(sK80(X0))))))
| p106(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ p105(sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ sP5(sK73(sK75(sK77(sK79(sK80(X0)))))) ),
inference(instantiation,[status(thm)],[c_270]) ).
tcf(c_9543,plain,
! [X0: $i] :
( p106(sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ p105(sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ sP5(sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ p107(sK71(sK73(sK75(sK77(sK79(sK80(X0))))))) ),
inference(instantiation,[status(thm)],[c_269]) ).
tcf(c_9548,plain,
! [X0: $i] :
( p106(sK73(sK75(sK77(sK79(sK80(X0))))))
| r1(sK73(sK75(sK77(sK79(sK80(X0))))),sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ p105(sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ sP5(sK73(sK75(sK77(sK79(sK80(X0)))))) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_9553,plain,
( p106(sK73(sK75(sK77(sK79(sK80(sK82))))))
| r1(sK73(sK75(sK77(sK79(sK80(sK82))))),sK71(sK73(sK75(sK77(sK79(sK80(sK82)))))))
| ~ p105(sK73(sK75(sK77(sK79(sK80(sK82))))))
| ~ sP5(sK73(sK75(sK77(sK79(sK80(sK82)))))) ),
inference(instantiation,[status(thm)],[c_9548]) ).
tcf(c_9558,plain,
( p106(sK73(sK75(sK77(sK79(sK80(sK82))))))
| ~ p105(sK73(sK75(sK77(sK79(sK80(sK82))))))
| ~ sP5(sK73(sK75(sK77(sK79(sK80(sK82))))))
| ~ p107(sK71(sK73(sK75(sK77(sK79(sK80(sK82))))))) ),
inference(instantiation,[status(thm)],[c_9543]) ).
tcf(c_9559,plain,
( p106(sK73(sK75(sK77(sK79(sK80(sK82))))))
| p106(sK71(sK73(sK75(sK77(sK79(sK80(sK82)))))))
| ~ p105(sK73(sK75(sK77(sK79(sK80(sK82))))))
| ~ sP5(sK73(sK75(sK77(sK79(sK80(sK82)))))) ),
inference(instantiation,[status(thm)],[c_9542]) ).
tcf(c_10767,plain,
! [X0: $i] :
( sP5(sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ sP41(sK73(sK75(sK77(sK79(sK80(X0)))))) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_10768,plain,
( sP5(sK73(sK75(sK77(sK79(sK80(sK82))))))
| ~ sP41(sK73(sK75(sK77(sK79(sK80(sK82)))))) ),
inference(instantiation,[status(thm)],[c_10767]) ).
tcf(c_19001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
( sP41(sK73(sK75(sK77(sK79(sK80(X1))))))
| ~ r1(sK82,X2)
| ~ r1(X19,X0)
| ~ 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(X0,sK73(sK75(sK77(sK79(sK80(X1)))))) ),
inference(instantiation,[status(thm)],[c_312]) ).
tcf(c_20739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
( sP41(sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ r1(sK82,X2)
| ~ r1(X18,X1)
| ~ 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,sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK75(sK77(sK79(sK80(X0)))),sK73(sK75(sK77(sK79(sK80(X0)))))) ),
inference(instantiation,[status(thm)],[c_19001]) ).
tcf(c_22450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( sP41(sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ r1(sK82,X2)
| ~ r1(X17,X1)
| ~ 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,sK77(sK79(sK80(X0))))
| ~ r1(sK77(sK79(sK80(X0))),sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK75(sK77(sK79(sK80(X0)))),sK73(sK75(sK77(sK79(sK80(X0)))))) ),
inference(instantiation,[status(thm)],[c_20739]) ).
tcf(c_24265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
( sP41(sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ r1(sK82,X2)
| ~ r1(X16,X1)
| ~ 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,sK79(sK80(X0)))
| ~ r1(sK79(sK80(X0)),sK77(sK79(sK80(X0))))
| ~ r1(sK77(sK79(sK80(X0))),sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK75(sK77(sK79(sK80(X0)))),sK73(sK75(sK77(sK79(sK80(X0)))))) ),
inference(instantiation,[status(thm)],[c_22450]) ).
tcf(c_26468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( sP41(sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ r1(sK82,X2)
| ~ r1(X15,X1)
| ~ 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,sK80(X0))
| ~ r1(sK80(X0),sK79(sK80(X0)))
| ~ r1(sK79(sK80(X0)),sK77(sK79(sK80(X0))))
| ~ r1(sK77(sK79(sK80(X0))),sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK75(sK77(sK79(sK80(X0)))),sK73(sK75(sK77(sK79(sK80(X0)))))) ),
inference(instantiation,[status(thm)],[c_24265]) ).
tcf(c_26469,plain,
( sP41(sK73(sK75(sK77(sK79(sK80(sK82))))))
| ~ r1(sK82,sK82)
| ~ r1(sK82,sK80(sK82))
| ~ r1(sK80(sK82),sK79(sK80(sK82)))
| ~ r1(sK79(sK80(sK82)),sK77(sK79(sK80(sK82))))
| ~ r1(sK77(sK79(sK80(sK82))),sK75(sK77(sK79(sK80(sK82)))))
| ~ r1(sK75(sK77(sK79(sK80(sK82)))),sK73(sK75(sK77(sK79(sK80(sK82)))))) ),
inference(instantiation,[status(thm)],[c_26468]) ).
tcf(c_33190,plain,
! [X0: $i] :
( p107(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| r1(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))),sK68(sK71(sK73(sK75(sK77(sK79(sK80(X0))))))))
| ~ p106(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ sP6(sK71(sK73(sK75(sK77(sK79(sK80(X0))))))) ),
inference(instantiation,[status(thm)],[c_255]) ).
tcf(c_33192,plain,
! [X0: $i] :
( p107(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ p106(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ sP6(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ p8(sK68(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))) ),
inference(instantiation,[status(thm)],[c_256]) ).
tcf(c_33195,plain,
( p107(sK71(sK73(sK75(sK77(sK79(sK80(sK82)))))))
| ~ p106(sK71(sK73(sK75(sK77(sK79(sK80(sK82)))))))
| ~ sP6(sK71(sK73(sK75(sK77(sK79(sK80(sK82)))))))
| ~ p8(sK68(sK71(sK73(sK75(sK77(sK79(sK80(sK82)))))))) ),
inference(instantiation,[status(thm)],[c_33192]) ).
tcf(c_33197,plain,
( p107(sK71(sK73(sK75(sK77(sK79(sK80(sK82)))))))
| r1(sK71(sK73(sK75(sK77(sK79(sK80(sK82)))))),sK68(sK71(sK73(sK75(sK77(sK79(sK80(sK82))))))))
| ~ p106(sK71(sK73(sK75(sK77(sK79(sK80(sK82)))))))
| ~ sP6(sK71(sK73(sK75(sK77(sK79(sK80(sK82))))))) ),
inference(instantiation,[status(thm)],[c_33190]) ).
tcf(c_34990,plain,
! [X0: $i] :
( sP6(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ sP41(sK71(sK73(sK75(sK77(sK79(sK80(X0))))))) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_34991,plain,
( sP6(sK71(sK73(sK75(sK77(sK79(sK80(sK82)))))))
| ~ sP41(sK71(sK73(sK75(sK77(sK79(sK80(sK82))))))) ),
inference(instantiation,[status(thm)],[c_34990]) ).
tcf(c_49346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
( sP41(sK71(sK73(sK75(sK77(sK79(sK80(X1)))))))
| ~ r1(sK82,X2)
| ~ r1(X19,X0)
| ~ 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(X0,sK71(sK73(sK75(sK77(sK79(sK80(X1))))))) ),
inference(instantiation,[status(thm)],[c_312]) ).
tcf(c_51928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
( sP41(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ r1(sK82,X2)
| ~ r1(X18,X1)
| ~ 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,sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ r1(sK73(sK75(sK77(sK79(sK80(X0))))),sK71(sK73(sK75(sK77(sK79(sK80(X0))))))) ),
inference(instantiation,[status(thm)],[c_49346]) ).
tcf(c_56892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( sP41(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ r1(sK82,X2)
| ~ r1(X17,X1)
| ~ 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,sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK75(sK77(sK79(sK80(X0)))),sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ r1(sK73(sK75(sK77(sK79(sK80(X0))))),sK71(sK73(sK75(sK77(sK79(sK80(X0))))))) ),
inference(instantiation,[status(thm)],[c_51928]) ).
tcf(c_61189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
( sP41(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ r1(sK82,X2)
| ~ r1(X16,X1)
| ~ 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,sK77(sK79(sK80(X0))))
| ~ r1(sK77(sK79(sK80(X0))),sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK75(sK77(sK79(sK80(X0)))),sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ r1(sK73(sK75(sK77(sK79(sK80(X0))))),sK71(sK73(sK75(sK77(sK79(sK80(X0))))))) ),
inference(instantiation,[status(thm)],[c_56892]) ).
tcf(c_63575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( sP41(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ r1(sK82,X2)
| ~ r1(X15,X1)
| ~ 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,sK79(sK80(X0)))
| ~ r1(sK79(sK80(X0)),sK77(sK79(sK80(X0))))
| ~ r1(sK77(sK79(sK80(X0))),sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK75(sK77(sK79(sK80(X0)))),sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ r1(sK73(sK75(sK77(sK79(sK80(X0))))),sK71(sK73(sK75(sK77(sK79(sK80(X0))))))) ),
inference(instantiation,[status(thm)],[c_61189]) ).
tcf(c_68273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
( sP41(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ r1(sK82,X2)
| ~ r1(X14,X1)
| ~ 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,sK80(X0))
| ~ r1(sK80(X0),sK79(sK80(X0)))
| ~ r1(sK79(sK80(X0)),sK77(sK79(sK80(X0))))
| ~ r1(sK77(sK79(sK80(X0))),sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK75(sK77(sK79(sK80(X0)))),sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ r1(sK73(sK75(sK77(sK79(sK80(X0))))),sK71(sK73(sK75(sK77(sK79(sK80(X0))))))) ),
inference(instantiation,[status(thm)],[c_63575]) ).
tcf(c_68274,plain,
( sP41(sK71(sK73(sK75(sK77(sK79(sK80(sK82)))))))
| ~ r1(sK82,sK82)
| ~ r1(sK82,sK80(sK82))
| ~ r1(sK80(sK82),sK79(sK80(sK82)))
| ~ r1(sK79(sK80(sK82)),sK77(sK79(sK80(sK82))))
| ~ r1(sK77(sK79(sK80(sK82))),sK75(sK77(sK79(sK80(sK82)))))
| ~ r1(sK75(sK77(sK79(sK80(sK82)))),sK73(sK75(sK77(sK79(sK80(sK82))))))
| ~ r1(sK73(sK75(sK77(sK79(sK80(sK82))))),sK71(sK73(sK75(sK77(sK79(sK80(sK82))))))) ),
inference(instantiation,[status(thm)],[c_68273]) ).
tcf(c_107467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
( p8(sK68(sK71(sK73(sK75(sK77(sK79(sK80(X1))))))))
| ~ r1(sK82,X2)
| ~ r1(X19,X0)
| ~ 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(X0,sK68(sK71(sK73(sK75(sK77(sK79(sK80(X1)))))))) ),
inference(instantiation,[status(thm)],[c_311]) ).
tcf(c_109253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
( p8(sK68(sK71(sK73(sK75(sK77(sK79(sK80(X0))))))))
| ~ r1(sK82,X2)
| ~ r1(X18,X1)
| ~ 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,sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ r1(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))),sK68(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))) ),
inference(instantiation,[status(thm)],[c_107467]) ).
tcf(c_111593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( p8(sK68(sK71(sK73(sK75(sK77(sK79(sK80(X0))))))))
| ~ r1(sK82,X2)
| ~ r1(X17,X1)
| ~ 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,sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ r1(sK73(sK75(sK77(sK79(sK80(X0))))),sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ r1(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))),sK68(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))) ),
inference(instantiation,[status(thm)],[c_109253]) ).
tcf(c_116441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
( p8(sK68(sK71(sK73(sK75(sK77(sK79(sK80(X0))))))))
| ~ r1(sK82,X2)
| ~ r1(X16,X1)
| ~ 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,sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK75(sK77(sK79(sK80(X0)))),sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ r1(sK73(sK75(sK77(sK79(sK80(X0))))),sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ r1(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))),sK68(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))) ),
inference(instantiation,[status(thm)],[c_111593]) ).
tcf(c_121981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( p8(sK68(sK71(sK73(sK75(sK77(sK79(sK80(X0))))))))
| ~ r1(sK82,X2)
| ~ r1(X15,X1)
| ~ 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,sK77(sK79(sK80(X0))))
| ~ r1(sK77(sK79(sK80(X0))),sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK75(sK77(sK79(sK80(X0)))),sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ r1(sK73(sK75(sK77(sK79(sK80(X0))))),sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ r1(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))),sK68(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))) ),
inference(instantiation,[status(thm)],[c_116441]) ).
tcf(c_125313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
( p8(sK68(sK71(sK73(sK75(sK77(sK79(sK80(X0))))))))
| ~ r1(sK82,X2)
| ~ r1(X14,X1)
| ~ 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,sK79(sK80(X0)))
| ~ r1(sK79(sK80(X0)),sK77(sK79(sK80(X0))))
| ~ r1(sK77(sK79(sK80(X0))),sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK75(sK77(sK79(sK80(X0)))),sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ r1(sK73(sK75(sK77(sK79(sK80(X0))))),sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ r1(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))),sK68(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))) ),
inference(instantiation,[status(thm)],[c_121981]) ).
tcf(c_130946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( p8(sK68(sK71(sK73(sK75(sK77(sK79(sK80(X0))))))))
| ~ r1(sK82,X2)
| ~ r1(X13,X1)
| ~ 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,sK80(X0))
| ~ r1(sK80(X0),sK79(sK80(X0)))
| ~ r1(sK79(sK80(X0)),sK77(sK79(sK80(X0))))
| ~ r1(sK77(sK79(sK80(X0))),sK75(sK77(sK79(sK80(X0)))))
| ~ r1(sK75(sK77(sK79(sK80(X0)))),sK73(sK75(sK77(sK79(sK80(X0))))))
| ~ r1(sK73(sK75(sK77(sK79(sK80(X0))))),sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))
| ~ r1(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))),sK68(sK71(sK73(sK75(sK77(sK79(sK80(X0)))))))) ),
inference(instantiation,[status(thm)],[c_125313]) ).
tcf(c_130947,plain,
( p8(sK68(sK71(sK73(sK75(sK77(sK79(sK80(sK82))))))))
| ~ r1(sK82,sK82)
| ~ r1(sK82,sK80(sK82))
| ~ r1(sK80(sK82),sK79(sK80(sK82)))
| ~ r1(sK79(sK80(sK82)),sK77(sK79(sK80(sK82))))
| ~ r1(sK77(sK79(sK80(sK82))),sK75(sK77(sK79(sK80(sK82)))))
| ~ r1(sK75(sK77(sK79(sK80(sK82)))),sK73(sK75(sK77(sK79(sK80(sK82))))))
| ~ r1(sK73(sK75(sK77(sK79(sK80(sK82))))),sK71(sK73(sK75(sK77(sK79(sK80(sK82)))))))
| ~ r1(sK71(sK73(sK75(sK77(sK79(sK80(sK82)))))),sK68(sK71(sK73(sK75(sK77(sK79(sK80(sK82)))))))) ),
inference(instantiation,[status(thm)],[c_130946]) ).
fof(f9,definition,
! [X40] :
( ~ sP0(X40)
| ~ p100(X40)
| p101(X40)
| ( ? [X80] :
( p101(X80)
& ~ p102(X80)
& p2(X80)
& r1(X40,X80) )
& ? [X79] :
( p101(X79)
& ~ p102(X79)
& ~ p2(X79)
& r1(X40,X79) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X40] :
( ~ sP1(X40)
| ~ p101(X40)
| p102(X40)
| ( ? [X78] :
( p102(X78)
& ~ p103(X78)
& p3(X78)
& r1(X40,X78) )
& ? [X77] :
( p102(X77)
& ~ p103(X77)
& ~ p3(X77)
& r1(X40,X77) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X40] :
( ~ sP2(X40)
| ~ p102(X40)
| p103(X40)
| ( ? [X76] :
( p103(X76)
& ~ p104(X76)
& p4(X76)
& r1(X40,X76) )
& ? [X75] :
( p103(X75)
& ~ p104(X75)
& ~ p4(X75)
& r1(X40,X75) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X40] :
( ~ sP3(X40)
| ~ p103(X40)
| p104(X40)
| ( ? [X74] :
( p104(X74)
& ~ p105(X74)
& p5(X74)
& r1(X40,X74) )
& ? [X73] :
( p104(X73)
& ~ p105(X73)
& ~ p5(X73)
& r1(X40,X73) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X40] :
( ~ sP4(X40)
| ~ p104(X40)
| p105(X40)
| ( ? [X72] :
( p105(X72)
& ~ p106(X72)
& p6(X72)
& r1(X40,X72) )
& ? [X71] :
( p105(X71)
& ~ p106(X71)
& ~ p6(X71)
& r1(X40,X71) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X40] :
( ~ sP5(X40)
| ~ p105(X40)
| p106(X40)
| ( ? [X70] :
( p106(X70)
& ~ p107(X70)
& p7(X70)
& r1(X40,X70) )
& ? [X69] :
( p106(X69)
& ~ p107(X69)
& ~ p7(X69)
& r1(X40,X69) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X40] :
( ~ sP6(X40)
| ~ p106(X40)
| p107(X40)
| ( ? [X68] :
( p107(X68)
& ~ p108(X68)
& p8(X68)
& r1(X40,X68) )
& ? [X67] :
( p107(X67)
& ~ p108(X67)
& ~ p8(X67)
& r1(X40,X67) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X40] :
( ~ sP7(X40)
| ~ p107(X40)
| p108(X40)
| ( ? [X66] :
( p108(X66)
& ~ p109(X66)
& p9(X66)
& r1(X40,X66) )
& ? [X65] :
( p108(X65)
& ~ p109(X65)
& ~ p9(X65)
& r1(X40,X65) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X40] :
( ~ sP8(X40)
| ~ p108(X40)
| p109(X40)
| ( ? [X64] :
( p109(X64)
& ~ p110(X64)
& p10(X64)
& r1(X40,X64) )
& ? [X63] :
( p109(X63)
& ~ p110(X63)
& ~ p10(X63)
& r1(X40,X63) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X40] :
( ~ sP9(X40)
| ~ p109(X40)
| p110(X40)
| ( ? [X62] :
( p110(X62)
& ~ p111(X62)
& p11(X62)
& r1(X40,X62) )
& ? [X61] :
( p110(X61)
& ~ p111(X61)
& ~ p11(X61)
& r1(X40,X61) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X40] :
( ~ sP10(X40)
| ~ p110(X40)
| p111(X40)
| ( ? [X60] :
( p111(X60)
& ~ p112(X60)
& p12(X60)
& r1(X40,X60) )
& ? [X59] :
( p111(X59)
& ~ p112(X59)
& ~ p12(X59)
& r1(X40,X59) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X40] :
( ~ sP11(X40)
| ~ p111(X40)
| p112(X40)
| ( ? [X58] :
( p112(X58)
& ~ p113(X58)
& p13(X58)
& r1(X40,X58) )
& ? [X57] :
( p112(X57)
& ~ p113(X57)
& ~ p13(X57)
& r1(X40,X57) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f21,definition,
! [X40] :
( ~ sP12(X40)
| ~ p112(X40)
| p113(X40)
| ( ? [X56] :
( p113(X56)
& ~ p114(X56)
& p14(X56)
& r1(X40,X56) )
& ? [X55] :
( p113(X55)
& ~ p114(X55)
& ~ p14(X55)
& r1(X40,X55) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f22,definition,
! [X40] :
( ~ sP13(X40)
| ~ p113(X40)
| p114(X40)
| ( ? [X54] :
( p114(X54)
& ~ p115(X54)
& p15(X54)
& r1(X40,X54) )
& ? [X53] :
( p114(X53)
& ~ p115(X53)
& ~ p15(X53)
& r1(X40,X53) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X40] :
( ~ sP14(X40)
| ~ p114(X40)
| p115(X40)
| ( ? [X52] :
( p115(X52)
& ~ p116(X52)
& p16(X52)
& r1(X40,X52) )
& ? [X51] :
( p115(X51)
& ~ p116(X51)
& ~ p16(X51)
& r1(X40,X51) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f24,definition,
! [X40] :
( ~ sP15(X40)
| ~ p115(X40)
| p116(X40)
| ( ? [X50] :
( p116(X50)
& ~ p117(X50)
& p17(X50)
& r1(X40,X50) )
& ? [X49] :
( p116(X49)
& ~ p117(X49)
& ~ p17(X49)
& r1(X40,X49) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f25,definition,
! [X40] :
( ~ sP16(X40)
| ~ p116(X40)
| p117(X40)
| ( ? [X48] :
( p117(X48)
& ~ p118(X48)
& p18(X48)
& r1(X40,X48) )
& ? [X47] :
( p117(X47)
& ~ p118(X47)
& ~ p18(X47)
& r1(X40,X47) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f26,definition,
! [X40] :
( ~ sP17(X40)
| ~ p117(X40)
| p118(X40)
| ( ? [X46] :
( p118(X46)
& ~ p119(X46)
& p19(X46)
& r1(X40,X46) )
& ? [X45] :
( p118(X45)
& ~ p119(X45)
& ~ p19(X45)
& r1(X40,X45) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f27,definition,
! [X40] :
( ~ sP18(X40)
| ~ p118(X40)
| p119(X40)
| ( ? [X44] :
( p119(X44)
& ~ p120(X44)
& p20(X44)
& r1(X40,X44) )
& ? [X43] :
( p119(X43)
& ~ p120(X43)
& ~ p20(X43)
& r1(X40,X43) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f28,definition,
! [X40] :
( ~ sP19(X40)
| ~ p119(X40)
| p120(X40)
| ( ? [X42] :
( p120(X42)
& p21(X42)
& r1(X40,X42) )
& ? [X41] :
( p120(X41)
& ~ p21(X41)
& r1(X40,X41) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f29,definition,
! [X40] :
( ~ sP20(X40)
| ~ p100(X40)
| ( ( ~ p1(X40)
| ! [X122] :
( ~ p100(X122)
| p1(X122)
| ~ r1(X40,X122) ) )
& ( p1(X40)
| ! [X121] :
( ~ p100(X121)
| ~ p1(X121)
| ~ r1(X40,X121) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f30,definition,
! [X40] :
( ~ sP21(X40)
| ~ p101(X40)
| ( ( ~ p2(X40)
| ! [X120] :
( ~ p101(X120)
| p2(X120)
| ~ r1(X40,X120) ) )
& ( p2(X40)
| ! [X119] :
( ~ p101(X119)
| ~ p2(X119)
| ~ r1(X40,X119) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f31,definition,
! [X40] :
( ~ sP22(X40)
| ~ p102(X40)
| ( ( ~ p3(X40)
| ! [X118] :
( ~ p102(X118)
| p3(X118)
| ~ r1(X40,X118) ) )
& ( p3(X40)
| ! [X117] :
( ~ p102(X117)
| ~ p3(X117)
| ~ r1(X40,X117) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f32,definition,
! [X40] :
( ~ sP23(X40)
| ~ p103(X40)
| ( ( ~ p4(X40)
| ! [X116] :
( ~ p103(X116)
| p4(X116)
| ~ r1(X40,X116) ) )
& ( p4(X40)
| ! [X115] :
( ~ p103(X115)
| ~ p4(X115)
| ~ r1(X40,X115) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f33,definition,
! [X40] :
( ~ sP24(X40)
| ~ p104(X40)
| ( ( ~ p5(X40)
| ! [X114] :
( ~ p104(X114)
| p5(X114)
| ~ r1(X40,X114) ) )
& ( p5(X40)
| ! [X113] :
( ~ p104(X113)
| ~ p5(X113)
| ~ r1(X40,X113) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f34,definition,
! [X40] :
( ~ sP25(X40)
| ~ p105(X40)
| ( ( ~ p6(X40)
| ! [X112] :
( ~ p105(X112)
| p6(X112)
| ~ r1(X40,X112) ) )
& ( p6(X40)
| ! [X111] :
( ~ p105(X111)
| ~ p6(X111)
| ~ r1(X40,X111) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f35,definition,
! [X40] :
( ~ sP26(X40)
| ~ p106(X40)
| ( ( ~ p7(X40)
| ! [X110] :
( ~ p106(X110)
| p7(X110)
| ~ r1(X40,X110) ) )
& ( p7(X40)
| ! [X109] :
( ~ p106(X109)
| ~ p7(X109)
| ~ r1(X40,X109) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f36,definition,
! [X40] :
( ~ sP27(X40)
| ~ p107(X40)
| ( ( ~ p8(X40)
| ! [X108] :
( ~ p107(X108)
| p8(X108)
| ~ r1(X40,X108) ) )
& ( p8(X40)
| ! [X107] :
( ~ p107(X107)
| ~ p8(X107)
| ~ r1(X40,X107) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f37,definition,
! [X40] :
( ~ sP28(X40)
| ~ p108(X40)
| ( ( ~ p9(X40)
| ! [X106] :
( ~ p108(X106)
| p9(X106)
| ~ r1(X40,X106) ) )
& ( p9(X40)
| ! [X105] :
( ~ p108(X105)
| ~ p9(X105)
| ~ r1(X40,X105) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f38,definition,
! [X40] :
( ~ sP29(X40)
| ~ p109(X40)
| ( ( ~ p10(X40)
| ! [X104] :
( ~ p109(X104)
| p10(X104)
| ~ r1(X40,X104) ) )
& ( p10(X40)
| ! [X103] :
( ~ p109(X103)
| ~ p10(X103)
| ~ r1(X40,X103) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f39,definition,
! [X40] :
( ~ sP30(X40)
| ~ p110(X40)
| ( ( ~ p11(X40)
| ! [X102] :
( ~ p110(X102)
| p11(X102)
| ~ r1(X40,X102) ) )
& ( p11(X40)
| ! [X101] :
( ~ p110(X101)
| ~ p11(X101)
| ~ r1(X40,X101) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f40,definition,
! [X40] :
( ~ sP31(X40)
| ~ p111(X40)
| ( ( ~ p12(X40)
| ! [X100] :
( ~ p111(X100)
| p12(X100)
| ~ r1(X40,X100) ) )
& ( p12(X40)
| ! [X99] :
( ~ p111(X99)
| ~ p12(X99)
| ~ r1(X40,X99) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f41,definition,
! [X40] :
( ~ sP32(X40)
| ~ p112(X40)
| ( ( ~ p13(X40)
| ! [X98] :
( ~ p112(X98)
| p13(X98)
| ~ r1(X40,X98) ) )
& ( p13(X40)
| ! [X97] :
( ~ p112(X97)
| ~ p13(X97)
| ~ r1(X40,X97) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f42,definition,
! [X40] :
( ~ sP33(X40)
| ~ p113(X40)
| ( ( ~ p14(X40)
| ! [X96] :
( ~ p113(X96)
| p14(X96)
| ~ r1(X40,X96) ) )
& ( p14(X40)
| ! [X95] :
( ~ p113(X95)
| ~ p14(X95)
| ~ r1(X40,X95) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f43,definition,
! [X40] :
( ~ sP34(X40)
| ~ p114(X40)
| ( ( ~ p15(X40)
| ! [X94] :
( ~ p114(X94)
| p15(X94)
| ~ r1(X40,X94) ) )
& ( p15(X40)
| ! [X93] :
( ~ p114(X93)
| ~ p15(X93)
| ~ r1(X40,X93) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f44,definition,
! [X40] :
( ~ sP35(X40)
| ~ p115(X40)
| ( ( ~ p16(X40)
| ! [X92] :
( ~ p115(X92)
| p16(X92)
| ~ r1(X40,X92) ) )
& ( p16(X40)
| ! [X91] :
( ~ p115(X91)
| ~ p16(X91)
| ~ r1(X40,X91) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f45,definition,
! [X40] :
( ~ sP36(X40)
| ~ p116(X40)
| ( ( ~ p17(X40)
| ! [X90] :
( ~ p116(X90)
| p17(X90)
| ~ r1(X40,X90) ) )
& ( p17(X40)
| ! [X89] :
( ~ p116(X89)
| ~ p17(X89)
| ~ r1(X40,X89) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f46,definition,
! [X40] :
( ~ sP37(X40)
| ~ p117(X40)
| ( ( ~ p18(X40)
| ! [X88] :
( ~ p117(X88)
| p18(X88)
| ~ r1(X40,X88) ) )
& ( p18(X40)
| ! [X87] :
( ~ p117(X87)
| ~ p18(X87)
| ~ r1(X40,X87) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f47,definition,
! [X40] :
( ~ sP38(X40)
| ~ p118(X40)
| ( ( ~ p19(X40)
| ! [X86] :
( ~ p118(X86)
| p19(X86)
| ~ r1(X40,X86) ) )
& ( p19(X40)
| ! [X85] :
( ~ p118(X85)
| ~ p19(X85)
| ~ r1(X40,X85) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f48,definition,
! [X40] :
( ~ sP39(X40)
| ~ p119(X40)
| ( ( ~ p20(X40)
| ! [X84] :
( ~ p119(X84)
| p20(X84)
| ~ r1(X40,X84) ) )
& ( p20(X40)
| ! [X83] :
( ~ p119(X83)
| ~ p20(X83)
| ~ r1(X40,X83) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f49,definition,
! [X40] :
( ~ sP40(X40)
| ~ p120(X40)
| ( ( ~ p21(X40)
| ! [X82] :
( ~ p120(X82)
| p21(X82)
| ~ r1(X40,X82) ) )
& ( p21(X40)
| ! [X81] :
( ~ p120(X81)
| ~ p21(X81)
| ~ r1(X40,X81) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f50,definition,
! [X40] :
( ~ sP41(X40)
| ( ( ~ p101(X40)
| p100(X40) )
& ( ~ p102(X40)
| p101(X40) )
& ( ~ p103(X40)
| p102(X40) )
& ( ~ p104(X40)
| p103(X40) )
& ( ~ p105(X40)
| p104(X40) )
& ( ~ p106(X40)
| p105(X40) )
& ( ~ p107(X40)
| p106(X40) )
& ( ~ p108(X40)
| p107(X40) )
& ( ~ p109(X40)
| p108(X40) )
& ( ~ p110(X40)
| p109(X40) )
& ( ~ p111(X40)
| p110(X40) )
& ( ~ p112(X40)
| p111(X40) )
& ( ~ p113(X40)
| p112(X40) )
& ( ~ p114(X40)
| p113(X40) )
& ( ~ p115(X40)
| p114(X40) )
& ( ~ p116(X40)
| p115(X40) )
& ( ~ p117(X40)
| p116(X40) )
& ( ~ p118(X40)
| p117(X40) )
& ( ~ p119(X40)
| p118(X40) )
& ( ~ p120(X40)
| p119(X40) )
& sP20(X40)
& sP21(X40)
& sP22(X40)
& sP23(X40)
& sP24(X40)
& sP25(X40)
& sP26(X40)
& sP27(X40)
& sP28(X40)
& sP29(X40)
& sP30(X40)
& sP31(X40)
& sP32(X40)
& sP33(X40)
& sP34(X40)
& sP35(X40)
& sP36(X40)
& sP37(X40)
& sP38(X40)
& sP39(X40)
& sP40(X40)
& sP0(X40)
& sP1(X40)
& sP2(X40)
& sP3(X40)
& sP4(X40)
& sP5(X40)
& sP6(X40)
& sP7(X40)
& sP8(X40)
& sP9(X40)
& sP10(X40)
& sP11(X40)
& sP12(X40)
& sP13(X40)
& sP14(X40)
& sP15(X40)
& sP16(X40)
& sP17(X40)
& sP18(X40)
& sP19(X40) ) ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f51,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( sP41(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) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p8(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) ) ),
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(f153,plain,
! [X40] :
( ~ sP0(X40)
| ~ p100(X40)
| p101(X40)
| ( ? [X80] :
( p101(X80)
& ~ p102(X80)
& p2(X80)
& r1(X40,X80) )
& ? [X79] :
( p101(X79)
& ~ p102(X79)
& ~ p2(X79)
& r1(X40,X79) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f154,plain,
! [X0] :
( ~ sP0(X0)
| ~ p100(X0)
| p101(X0)
| ( ? [X2] :
( p101(X2)
& ~ p102(X2)
& p2(X2)
& r1(X0,X2) )
& ? [X1] :
( p101(X1)
& ~ p102(X1)
& ~ p2(X1)
& r1(X0,X1) ) ) ),
inference(rectify,[],[f153]) ).
fof(f155,plain,
! [X0] :
( ~ sP0(X0)
| ~ p100(X0)
| p101(X0)
| ( p101(sK81(X0))
& ~ p102(sK81(X0))
& p2(sK81(X0))
& r1(X0,sK81(X0))
& p101(sK80(X0))
& ~ p102(sK80(X0))
& ~ p2(sK80(X0))
& r1(X0,sK80(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80,sK81]),skolemize(X1,sK80(X0)),skolemize(X2,sK81(X0))],[f154]) ).
fof(f415,plain,
! [X0] :
( ~ sP0(X0)
| ~ p100(X0)
| p101(X0)
| p101(sK80(X0)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f416,plain,
! [X0] :
( ~ sP0(X0)
| ~ p100(X0)
| p101(X0)
| ~ p102(sK80(X0)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f418,plain,
! [X0] :
( ~ sP0(X0)
| ~ p100(X0)
| p101(X0)
| r1(X0,sK80(X0)) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_303,plain,
! [X0: $i] :
( p101(X0)
| r1(X0,sK80(X0))
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f418]) ).
tcf(c_305,plain,
! [X0: $i] :
( p101(X0)
| ~ p100(X0)
| ~ sP0(X0)
| ~ p102(sK80(X0)) ),
inference(cnf_transformation,[],[f416]) ).
tcf(c_306,plain,
! [X0: $i] :
( p101(X0)
| p101(sK80(X0))
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f415]) ).
tcf(c_378,plain,
( p101(sK82)
| p101(sK80(sK82))
| ~ p100(sK82)
| ~ sP0(sK82) ),
inference(instantiation,[status(thm)],[c_306]) ).
tcf(c_435,plain,
( p101(sK82)
| ~ p100(sK82)
| ~ sP0(sK82)
| ~ p102(sK80(sK82)) ),
inference(instantiation,[status(thm)],[c_305]) ).
tcf(c_437,plain,
( p101(sK82)
| r1(sK82,sK80(sK82))
| ~ p100(sK82)
| ~ sP0(sK82) ),
inference(instantiation,[status(thm)],[c_303]) ).
tcf(c_130948,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_130947,c_68274,c_34991,c_33197,c_33195,c_26469,c_10768,c_9559,c_9558,c_9553,c_7458,c_3903,c_3309,c_3308,c_3303,c_2439,c_1670,c_1262,c_1261,c_1256,c_995,c_934,c_726,c_710,c_666,c_665,c_660,c_600,c_541,c_540,c_526,c_437,c_435,c_378,c_337,c_315,c_313,c_314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL656+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 00:01:47 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 149.61/24.00 % SZS status Started for theBenchmark.p
% 149.61/24.00 % SZS status Theorem for theBenchmark.p
% 149.61/24.00
% 149.61/24.00 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 149.61/24.00
% 149.61/24.00 % ------ iProver source info
% 149.61/24.00
% 149.61/24.00 % git: date: 2026-07-19 20:42:38 +0200
% 149.61/24.00 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 149.61/24.00 % git: non_committed_changes: false
% 149.61/24.00
% 149.61/24.00 % ------ Parsing...
% 149.61/24.00 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 149.61/24.00
% 149.61/24.00 % ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e %
% 149.61/24.00
% 149.61/24.00 % ------ Preprocessing...
% 149.61/24.00 % ------ Proving...
% 149.61/24.00 % ------ Problem Properties
% 149.61/24.00
% 149.61/24.00 %
% 149.61/24.00 % clauses 263
% 149.61/24.00 % conjectures 4
% 149.61/24.00 % EPR 105
% 149.61/24.00 % Horn 163
% 149.61/24.00 % unary 3
% 149.61/24.00 % binary 40
% 149.61/24.00 % lits 1057
% 149.61/24.00 % lits eq 0
% 149.61/24.00 % fd_pure 0
% 149.61/24.00 % fd_pseudo 0
% 149.61/24.00 % fd_cond 0
% 149.61/24.00 % fd_pseudo_cond 0
% 149.61/24.00 % AC symbols 0
% 149.61/24.00
% 149.61/24.00 % ------ Input Options Time Limit: Unbounded
% 149.61/24.00
% 149.61/24.00
% 149.61/24.00 % ------
% 149.61/24.00 % Current options:
% 149.61/24.00 % ------
% 149.61/24.00
% 149.61/24.00
% 149.61/24.00 %
% 149.61/24.00
% 149.61/24.00 % ------ Proving...
% 149.61/24.00 %
% 149.61/24.00
% 149.61/24.00 % SZS status Theorem for theBenchmark.p
% 149.61/24.00
% 149.61/24.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 173.28/24.00
% 173.28/24.00
%------------------------------------------------------------------------------