%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL656+1.015 : 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 : n016.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 22.41s 4.30s
% Output : CNFRefutation 22.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 34
% Syntax : Number of formulae : 180 ( 9 unt; 32 def)
% Number of atoms : 4227 ( 0 equ)
% Maximal formula atoms : 359 ( 23 avg)
% Number of connectives : 6867 (3041 ~;2339 |;1487 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 86 ( 14 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 68 ( 67 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 1232 ( 0 sgn1110 !; 122 ?; 327 :)
% 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] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p112(X1)
| p111(X1) )
& ( ~ p113(X1)
| p112(X1) )
& ( ~ p114(X1)
| p113(X1) )
& ( ~ p115(X1)
| p114(X1) )
& ( ~ p116(X1)
| p115(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X0] :
( ~ p106(X0)
| p7(X0)
| ~ r1(X1,X0) ) )
& ( p7(X1)
| ! [X0] :
( ~ p106(X0)
| ~ p7(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X0] :
( ~ p107(X0)
| p8(X0)
| ~ r1(X1,X0) ) )
& ( p8(X1)
| ! [X0] :
( ~ p107(X0)
| ~ p8(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X0] :
( ~ p108(X0)
| p9(X0)
| ~ r1(X1,X0) ) )
& ( p9(X1)
| ! [X0] :
( ~ p108(X0)
| ~ p9(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X0] :
( ~ p109(X0)
| p10(X0)
| ~ r1(X1,X0) ) )
& ( p10(X1)
| ! [X0] :
( ~ p109(X0)
| ~ p10(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X0] :
( ~ p110(X0)
| p11(X0)
| ~ r1(X1,X0) ) )
& ( p11(X1)
| ! [X0] :
( ~ p110(X0)
| ~ p11(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p111(X1)
| ( ( ~ p12(X1)
| ! [X0] :
( ~ p111(X0)
| p12(X0)
| ~ r1(X1,X0) ) )
& ( p12(X1)
| ! [X0] :
( ~ p111(X0)
| ~ p12(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p112(X1)
| ( ( ~ p13(X1)
| ! [X0] :
( ~ p112(X0)
| p13(X0)
| ~ r1(X1,X0) ) )
& ( p13(X1)
| ! [X0] :
( ~ p112(X0)
| ~ p13(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p113(X1)
| ( ( ~ p14(X1)
| ! [X0] :
( ~ p113(X0)
| p14(X0)
| ~ r1(X1,X0) ) )
& ( p14(X1)
| ! [X0] :
( ~ p113(X0)
| ~ p14(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p114(X1)
| ( ( ~ p15(X1)
| ! [X0] :
( ~ p114(X0)
| p15(X0)
| ~ r1(X1,X0) ) )
& ( p15(X1)
| ! [X0] :
( ~ p114(X0)
| ~ p15(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p115(X1)
| ( ( ~ p16(X1)
| ! [X0] :
( ~ p115(X0)
| p16(X0)
| ~ r1(X1,X0) ) )
& ( p16(X1)
| ! [X0] :
( ~ p115(X0)
| ~ p16(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& p7(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& ~ p7(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& p8(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& ~ p8(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& p9(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& ~ p9(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& p10(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& ~ p10(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& p11(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& ~ p11(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p110(X1)
& ~ p111(X1) )
| ( ~ ! [X0] :
( ~ ( p111(X0)
& ~ p112(X0)
& p12(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p111(X0)
& ~ p112(X0)
& ~ p12(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p111(X1)
& ~ p112(X1) )
| ( ~ ! [X0] :
( ~ ( p112(X0)
& ~ p113(X0)
& p13(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p112(X0)
& ~ p113(X0)
& ~ p13(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p112(X1)
& ~ p113(X1) )
| ( ~ ! [X0] :
( ~ ( p113(X0)
& ~ p114(X0)
& p14(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p113(X0)
& ~ p114(X0)
& ~ p14(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p113(X1)
& ~ p114(X1) )
| ( ~ ! [X0] :
( ~ ( p114(X0)
& ~ p115(X0)
& p15(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p114(X0)
& ~ p115(X0)
& ~ p15(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p114(X1)
& ~ p115(X1) )
| ( ~ ! [X0] :
( ~ ( p115(X0)
& ~ p116(X0)
& p16(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p115(X0)
& ~ p116(X0)
& ~ p16(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) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( p7(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) ) ),
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] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p112(X1)
| p111(X1) )
& ( ~ p113(X1)
| p112(X1) )
& ( ~ p114(X1)
| p113(X1) )
& ( ~ p115(X1)
| p114(X1) )
& ( ~ p116(X1)
| p115(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X0] :
( ~ p106(X0)
| p7(X0)
| ~ r1(X1,X0) ) )
& ( p7(X1)
| ! [X0] :
( ~ p106(X0)
| ~ p7(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X0] :
( ~ p107(X0)
| p8(X0)
| ~ r1(X1,X0) ) )
& ( p8(X1)
| ! [X0] :
( ~ p107(X0)
| ~ p8(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X0] :
( ~ p108(X0)
| p9(X0)
| ~ r1(X1,X0) ) )
& ( p9(X1)
| ! [X0] :
( ~ p108(X0)
| ~ p9(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X0] :
( ~ p109(X0)
| p10(X0)
| ~ r1(X1,X0) ) )
& ( p10(X1)
| ! [X0] :
( ~ p109(X0)
| ~ p10(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X0] :
( ~ p110(X0)
| p11(X0)
| ~ r1(X1,X0) ) )
& ( p11(X1)
| ! [X0] :
( ~ p110(X0)
| ~ p11(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p111(X1)
| ( ( ~ p12(X1)
| ! [X0] :
( ~ p111(X0)
| p12(X0)
| ~ r1(X1,X0) ) )
& ( p12(X1)
| ! [X0] :
( ~ p111(X0)
| ~ p12(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p112(X1)
| ( ( ~ p13(X1)
| ! [X0] :
( ~ p112(X0)
| p13(X0)
| ~ r1(X1,X0) ) )
& ( p13(X1)
| ! [X0] :
( ~ p112(X0)
| ~ p13(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p113(X1)
| ( ( ~ p14(X1)
| ! [X0] :
( ~ p113(X0)
| p14(X0)
| ~ r1(X1,X0) ) )
& ( p14(X1)
| ! [X0] :
( ~ p113(X0)
| ~ p14(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p114(X1)
| ( ( ~ p15(X1)
| ! [X0] :
( ~ p114(X0)
| p15(X0)
| ~ r1(X1,X0) ) )
& ( p15(X1)
| ! [X0] :
( ~ p114(X0)
| ~ p15(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p115(X1)
| ( ( ~ p16(X1)
| ! [X0] :
( ~ p115(X0)
| p16(X0)
| ~ r1(X1,X0) ) )
& ( p16(X1)
| ! [X0] :
( ~ p115(X0)
| ~ p16(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& p7(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& ~ p7(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& p8(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& ~ p8(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& p9(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& ~ p9(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& p10(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& ~ p10(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& p11(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& ~ p11(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p110(X1)
& ~ p111(X1) )
| ( ~ ! [X0] :
( ~ ( p111(X0)
& ~ p112(X0)
& p12(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p111(X0)
& ~ p112(X0)
& ~ p12(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p111(X1)
& ~ p112(X1) )
| ( ~ ! [X0] :
( ~ ( p112(X0)
& ~ p113(X0)
& p13(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p112(X0)
& ~ p113(X0)
& ~ p13(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p112(X1)
& ~ p113(X1) )
| ( ~ ! [X0] :
( ~ ( p113(X0)
& ~ p114(X0)
& p14(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p113(X0)
& ~ p114(X0)
& ~ p14(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p113(X1)
& ~ p114(X1) )
| ( ~ ! [X0] :
( ~ ( p114(X0)
& ~ p115(X0)
& p15(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p114(X0)
& ~ p115(X0)
& ~ p15(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p114(X1)
& ~ p115(X1) )
| ( ~ ! [X0] :
( ~ ( p115(X0)
& ~ p116(X0)
& p16(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p115(X0)
& ~ p116(X0)
& ~ p16(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) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( p7(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) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ( ~ p101(X30)
| p100(X30) )
& ( ~ p102(X30)
| p101(X30) )
& ( ~ p103(X30)
| p102(X30) )
& ( ~ p104(X30)
| p103(X30) )
& ( ~ p105(X30)
| p104(X30) )
& ( ~ p106(X30)
| p105(X30) )
& ( ~ p107(X30)
| p106(X30) )
& ( ~ p108(X30)
| p107(X30) )
& ( ~ p109(X30)
| p108(X30) )
& ( ~ p110(X30)
| p109(X30) )
& ( ~ p111(X30)
| p110(X30) )
& ( ~ p112(X30)
| p111(X30) )
& ( ~ p113(X30)
| p112(X30) )
& ( ~ p114(X30)
| p113(X30) )
& ( ~ p115(X30)
| p114(X30) )
& ( ~ p116(X30)
| p115(X30) )
& ( ~ p100(X30)
| ( ( ~ p1(X30)
| ! [X92] :
( ~ p100(X92)
| p1(X92)
| ~ r1(X30,X92) ) )
& ( p1(X30)
| ! [X91] :
( ~ p100(X91)
| ~ p1(X91)
| ~ r1(X30,X91) ) ) ) )
& ( ~ p101(X30)
| ( ( ~ p2(X30)
| ! [X90] :
( ~ p101(X90)
| p2(X90)
| ~ r1(X30,X90) ) )
& ( p2(X30)
| ! [X89] :
( ~ p101(X89)
| ~ p2(X89)
| ~ r1(X30,X89) ) ) ) )
& ( ~ p102(X30)
| ( ( ~ p3(X30)
| ! [X88] :
( ~ p102(X88)
| p3(X88)
| ~ r1(X30,X88) ) )
& ( p3(X30)
| ! [X87] :
( ~ p102(X87)
| ~ p3(X87)
| ~ r1(X30,X87) ) ) ) )
& ( ~ p103(X30)
| ( ( ~ p4(X30)
| ! [X86] :
( ~ p103(X86)
| p4(X86)
| ~ r1(X30,X86) ) )
& ( p4(X30)
| ! [X85] :
( ~ p103(X85)
| ~ p4(X85)
| ~ r1(X30,X85) ) ) ) )
& ( ~ p104(X30)
| ( ( ~ p5(X30)
| ! [X84] :
( ~ p104(X84)
| p5(X84)
| ~ r1(X30,X84) ) )
& ( p5(X30)
| ! [X83] :
( ~ p104(X83)
| ~ p5(X83)
| ~ r1(X30,X83) ) ) ) )
& ( ~ p105(X30)
| ( ( ~ p6(X30)
| ! [X82] :
( ~ p105(X82)
| p6(X82)
| ~ r1(X30,X82) ) )
& ( p6(X30)
| ! [X81] :
( ~ p105(X81)
| ~ p6(X81)
| ~ r1(X30,X81) ) ) ) )
& ( ~ p106(X30)
| ( ( ~ p7(X30)
| ! [X80] :
( ~ p106(X80)
| p7(X80)
| ~ r1(X30,X80) ) )
& ( p7(X30)
| ! [X79] :
( ~ p106(X79)
| ~ p7(X79)
| ~ r1(X30,X79) ) ) ) )
& ( ~ p107(X30)
| ( ( ~ p8(X30)
| ! [X78] :
( ~ p107(X78)
| p8(X78)
| ~ r1(X30,X78) ) )
& ( p8(X30)
| ! [X77] :
( ~ p107(X77)
| ~ p8(X77)
| ~ r1(X30,X77) ) ) ) )
& ( ~ p108(X30)
| ( ( ~ p9(X30)
| ! [X76] :
( ~ p108(X76)
| p9(X76)
| ~ r1(X30,X76) ) )
& ( p9(X30)
| ! [X75] :
( ~ p108(X75)
| ~ p9(X75)
| ~ r1(X30,X75) ) ) ) )
& ( ~ p109(X30)
| ( ( ~ p10(X30)
| ! [X74] :
( ~ p109(X74)
| p10(X74)
| ~ r1(X30,X74) ) )
& ( p10(X30)
| ! [X73] :
( ~ p109(X73)
| ~ p10(X73)
| ~ r1(X30,X73) ) ) ) )
& ( ~ p110(X30)
| ( ( ~ p11(X30)
| ! [X72] :
( ~ p110(X72)
| p11(X72)
| ~ r1(X30,X72) ) )
& ( p11(X30)
| ! [X71] :
( ~ p110(X71)
| ~ p11(X71)
| ~ r1(X30,X71) ) ) ) )
& ( ~ p111(X30)
| ( ( ~ p12(X30)
| ! [X70] :
( ~ p111(X70)
| p12(X70)
| ~ r1(X30,X70) ) )
& ( p12(X30)
| ! [X69] :
( ~ p111(X69)
| ~ p12(X69)
| ~ r1(X30,X69) ) ) ) )
& ( ~ p112(X30)
| ( ( ~ p13(X30)
| ! [X68] :
( ~ p112(X68)
| p13(X68)
| ~ r1(X30,X68) ) )
& ( p13(X30)
| ! [X67] :
( ~ p112(X67)
| ~ p13(X67)
| ~ r1(X30,X67) ) ) ) )
& ( ~ p113(X30)
| ( ( ~ p14(X30)
| ! [X66] :
( ~ p113(X66)
| p14(X66)
| ~ r1(X30,X66) ) )
& ( p14(X30)
| ! [X65] :
( ~ p113(X65)
| ~ p14(X65)
| ~ r1(X30,X65) ) ) ) )
& ( ~ p114(X30)
| ( ( ~ p15(X30)
| ! [X64] :
( ~ p114(X64)
| p15(X64)
| ~ r1(X30,X64) ) )
& ( p15(X30)
| ! [X63] :
( ~ p114(X63)
| ~ p15(X63)
| ~ r1(X30,X63) ) ) ) )
& ( ~ p115(X30)
| ( ( ~ p16(X30)
| ! [X62] :
( ~ p115(X62)
| p16(X62)
| ~ r1(X30,X62) ) )
& ( p16(X30)
| ! [X61] :
( ~ p115(X61)
| ~ p16(X61)
| ~ r1(X30,X61) ) ) ) )
& ( ~ ( p100(X30)
& ~ p101(X30) )
| ( ~ ! [X60] :
( ~ ( p101(X60)
& ~ p102(X60)
& p2(X60) )
| ~ r1(X30,X60) )
& ~ ! [X59] :
( ~ ( p101(X59)
& ~ p102(X59)
& ~ p2(X59) )
| ~ r1(X30,X59) ) ) )
& ( ~ ( p101(X30)
& ~ p102(X30) )
| ( ~ ! [X58] :
( ~ ( p102(X58)
& ~ p103(X58)
& p3(X58) )
| ~ r1(X30,X58) )
& ~ ! [X57] :
( ~ ( p102(X57)
& ~ p103(X57)
& ~ p3(X57) )
| ~ r1(X30,X57) ) ) )
& ( ~ ( p102(X30)
& ~ p103(X30) )
| ( ~ ! [X56] :
( ~ ( p103(X56)
& ~ p104(X56)
& p4(X56) )
| ~ r1(X30,X56) )
& ~ ! [X55] :
( ~ ( p103(X55)
& ~ p104(X55)
& ~ p4(X55) )
| ~ r1(X30,X55) ) ) )
& ( ~ ( p103(X30)
& ~ p104(X30) )
| ( ~ ! [X54] :
( ~ ( p104(X54)
& ~ p105(X54)
& p5(X54) )
| ~ r1(X30,X54) )
& ~ ! [X53] :
( ~ ( p104(X53)
& ~ p105(X53)
& ~ p5(X53) )
| ~ r1(X30,X53) ) ) )
& ( ~ ( p104(X30)
& ~ p105(X30) )
| ( ~ ! [X52] :
( ~ ( p105(X52)
& ~ p106(X52)
& p6(X52) )
| ~ r1(X30,X52) )
& ~ ! [X51] :
( ~ ( p105(X51)
& ~ p106(X51)
& ~ p6(X51) )
| ~ r1(X30,X51) ) ) )
& ( ~ ( p105(X30)
& ~ p106(X30) )
| ( ~ ! [X50] :
( ~ ( p106(X50)
& ~ p107(X50)
& p7(X50) )
| ~ r1(X30,X50) )
& ~ ! [X49] :
( ~ ( p106(X49)
& ~ p107(X49)
& ~ p7(X49) )
| ~ r1(X30,X49) ) ) )
& ( ~ ( p106(X30)
& ~ p107(X30) )
| ( ~ ! [X48] :
( ~ ( p107(X48)
& ~ p108(X48)
& p8(X48) )
| ~ r1(X30,X48) )
& ~ ! [X47] :
( ~ ( p107(X47)
& ~ p108(X47)
& ~ p8(X47) )
| ~ r1(X30,X47) ) ) )
& ( ~ ( p107(X30)
& ~ p108(X30) )
| ( ~ ! [X46] :
( ~ ( p108(X46)
& ~ p109(X46)
& p9(X46) )
| ~ r1(X30,X46) )
& ~ ! [X45] :
( ~ ( p108(X45)
& ~ p109(X45)
& ~ p9(X45) )
| ~ r1(X30,X45) ) ) )
& ( ~ ( p108(X30)
& ~ p109(X30) )
| ( ~ ! [X44] :
( ~ ( p109(X44)
& ~ p110(X44)
& p10(X44) )
| ~ r1(X30,X44) )
& ~ ! [X43] :
( ~ ( p109(X43)
& ~ p110(X43)
& ~ p10(X43) )
| ~ r1(X30,X43) ) ) )
& ( ~ ( p109(X30)
& ~ p110(X30) )
| ( ~ ! [X42] :
( ~ ( p110(X42)
& ~ p111(X42)
& p11(X42) )
| ~ r1(X30,X42) )
& ~ ! [X41] :
( ~ ( p110(X41)
& ~ p111(X41)
& ~ p11(X41) )
| ~ r1(X30,X41) ) ) )
& ( ~ ( p110(X30)
& ~ p111(X30) )
| ( ~ ! [X40] :
( ~ ( p111(X40)
& ~ p112(X40)
& p12(X40) )
| ~ r1(X30,X40) )
& ~ ! [X39] :
( ~ ( p111(X39)
& ~ p112(X39)
& ~ p12(X39) )
| ~ r1(X30,X39) ) ) )
& ( ~ ( p111(X30)
& ~ p112(X30) )
| ( ~ ! [X38] :
( ~ ( p112(X38)
& ~ p113(X38)
& p13(X38) )
| ~ r1(X30,X38) )
& ~ ! [X37] :
( ~ ( p112(X37)
& ~ p113(X37)
& ~ p13(X37) )
| ~ r1(X30,X37) ) ) )
& ( ~ ( p112(X30)
& ~ p113(X30) )
| ( ~ ! [X36] :
( ~ ( p113(X36)
& ~ p114(X36)
& p14(X36) )
| ~ r1(X30,X36) )
& ~ ! [X35] :
( ~ ( p113(X35)
& ~ p114(X35)
& ~ p14(X35) )
| ~ r1(X30,X35) ) ) )
& ( ~ ( p113(X30)
& ~ p114(X30) )
| ( ~ ! [X34] :
( ~ ( p114(X34)
& ~ p115(X34)
& p15(X34) )
| ~ r1(X30,X34) )
& ~ ! [X33] :
( ~ ( p114(X33)
& ~ p115(X33)
& ~ p15(X33) )
| ~ r1(X30,X33) ) ) )
& ( ~ ( p114(X30)
& ~ p115(X30) )
| ( ~ ! [X32] :
( ~ ( p115(X32)
& ~ p116(X32)
& p16(X32) )
| ~ r1(X30,X32) )
& ~ ! [X31] :
( ~ ( p115(X31)
& ~ p116(X31)
& ~ p16(X31) )
| ~ 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(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) ) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( p7(X15)
| ~ 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)
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ( ~ p101(X30)
| p100(X30) )
& ( ~ p102(X30)
| p101(X30) )
& ( ~ p103(X30)
| p102(X30) )
& ( ~ p104(X30)
| p103(X30) )
& ( ~ p105(X30)
| p104(X30) )
& ( ~ p106(X30)
| p105(X30) )
& ( ~ p107(X30)
| p106(X30) )
& ( ~ p108(X30)
| p107(X30) )
& ( ~ p109(X30)
| p108(X30) )
& ( ~ p110(X30)
| p109(X30) )
& ( ~ p111(X30)
| p110(X30) )
& ( ~ p112(X30)
| p111(X30) )
& ( ~ p113(X30)
| p112(X30) )
& ( ~ p114(X30)
| p113(X30) )
& ( ~ p115(X30)
| p114(X30) )
& ( ~ p116(X30)
| p115(X30) )
& ( ~ p100(X30)
| ( ( ~ p1(X30)
| ! [X92] :
( ~ p100(X92)
| p1(X92)
| ~ r1(X30,X92) ) )
& ( p1(X30)
| ! [X91] :
( ~ p100(X91)
| ~ p1(X91)
| ~ r1(X30,X91) ) ) ) )
& ( ~ p101(X30)
| ( ( ~ p2(X30)
| ! [X90] :
( ~ p101(X90)
| p2(X90)
| ~ r1(X30,X90) ) )
& ( p2(X30)
| ! [X89] :
( ~ p101(X89)
| ~ p2(X89)
| ~ r1(X30,X89) ) ) ) )
& ( ~ p102(X30)
| ( ( ~ p3(X30)
| ! [X88] :
( ~ p102(X88)
| p3(X88)
| ~ r1(X30,X88) ) )
& ( p3(X30)
| ! [X87] :
( ~ p102(X87)
| ~ p3(X87)
| ~ r1(X30,X87) ) ) ) )
& ( ~ p103(X30)
| ( ( ~ p4(X30)
| ! [X86] :
( ~ p103(X86)
| p4(X86)
| ~ r1(X30,X86) ) )
& ( p4(X30)
| ! [X85] :
( ~ p103(X85)
| ~ p4(X85)
| ~ r1(X30,X85) ) ) ) )
& ( ~ p104(X30)
| ( ( ~ p5(X30)
| ! [X84] :
( ~ p104(X84)
| p5(X84)
| ~ r1(X30,X84) ) )
& ( p5(X30)
| ! [X83] :
( ~ p104(X83)
| ~ p5(X83)
| ~ r1(X30,X83) ) ) ) )
& ( ~ p105(X30)
| ( ( ~ p6(X30)
| ! [X82] :
( ~ p105(X82)
| p6(X82)
| ~ r1(X30,X82) ) )
& ( p6(X30)
| ! [X81] :
( ~ p105(X81)
| ~ p6(X81)
| ~ r1(X30,X81) ) ) ) )
& ( ~ p106(X30)
| ( ( ~ p7(X30)
| ! [X80] :
( ~ p106(X80)
| p7(X80)
| ~ r1(X30,X80) ) )
& ( p7(X30)
| ! [X79] :
( ~ p106(X79)
| ~ p7(X79)
| ~ r1(X30,X79) ) ) ) )
& ( ~ p107(X30)
| ( ( ~ p8(X30)
| ! [X78] :
( ~ p107(X78)
| p8(X78)
| ~ r1(X30,X78) ) )
& ( p8(X30)
| ! [X77] :
( ~ p107(X77)
| ~ p8(X77)
| ~ r1(X30,X77) ) ) ) )
& ( ~ p108(X30)
| ( ( ~ p9(X30)
| ! [X76] :
( ~ p108(X76)
| p9(X76)
| ~ r1(X30,X76) ) )
& ( p9(X30)
| ! [X75] :
( ~ p108(X75)
| ~ p9(X75)
| ~ r1(X30,X75) ) ) ) )
& ( ~ p109(X30)
| ( ( ~ p10(X30)
| ! [X74] :
( ~ p109(X74)
| p10(X74)
| ~ r1(X30,X74) ) )
& ( p10(X30)
| ! [X73] :
( ~ p109(X73)
| ~ p10(X73)
| ~ r1(X30,X73) ) ) ) )
& ( ~ p110(X30)
| ( ( ~ p11(X30)
| ! [X72] :
( ~ p110(X72)
| p11(X72)
| ~ r1(X30,X72) ) )
& ( p11(X30)
| ! [X71] :
( ~ p110(X71)
| ~ p11(X71)
| ~ r1(X30,X71) ) ) ) )
& ( ~ p111(X30)
| ( ( ~ p12(X30)
| ! [X70] :
( ~ p111(X70)
| p12(X70)
| ~ r1(X30,X70) ) )
& ( p12(X30)
| ! [X69] :
( ~ p111(X69)
| ~ p12(X69)
| ~ r1(X30,X69) ) ) ) )
& ( ~ p112(X30)
| ( ( ~ p13(X30)
| ! [X68] :
( ~ p112(X68)
| p13(X68)
| ~ r1(X30,X68) ) )
& ( p13(X30)
| ! [X67] :
( ~ p112(X67)
| ~ p13(X67)
| ~ r1(X30,X67) ) ) ) )
& ( ~ p113(X30)
| ( ( ~ p14(X30)
| ! [X66] :
( ~ p113(X66)
| p14(X66)
| ~ r1(X30,X66) ) )
& ( p14(X30)
| ! [X65] :
( ~ p113(X65)
| ~ p14(X65)
| ~ r1(X30,X65) ) ) ) )
& ( ~ p114(X30)
| ( ( ~ p15(X30)
| ! [X64] :
( ~ p114(X64)
| p15(X64)
| ~ r1(X30,X64) ) )
& ( p15(X30)
| ! [X63] :
( ~ p114(X63)
| ~ p15(X63)
| ~ r1(X30,X63) ) ) ) )
& ( ~ p115(X30)
| ( ( ~ p16(X30)
| ! [X62] :
( ~ p115(X62)
| p16(X62)
| ~ r1(X30,X62) ) )
& ( p16(X30)
| ! [X61] :
( ~ p115(X61)
| ~ p16(X61)
| ~ r1(X30,X61) ) ) ) )
& ( ~ ( p100(X30)
& ~ p101(X30) )
| ( ~ ! [X60] :
( ~ ( p101(X60)
& ~ p102(X60)
& p2(X60) )
| ~ r1(X30,X60) )
& ~ ! [X59] :
( ~ ( p101(X59)
& ~ p102(X59)
& ~ p2(X59) )
| ~ r1(X30,X59) ) ) )
& ( ~ ( p101(X30)
& ~ p102(X30) )
| ( ~ ! [X58] :
( ~ ( p102(X58)
& ~ p103(X58)
& p3(X58) )
| ~ r1(X30,X58) )
& ~ ! [X57] :
( ~ ( p102(X57)
& ~ p103(X57)
& ~ p3(X57) )
| ~ r1(X30,X57) ) ) )
& ( ~ ( p102(X30)
& ~ p103(X30) )
| ( ~ ! [X56] :
( ~ ( p103(X56)
& ~ p104(X56)
& p4(X56) )
| ~ r1(X30,X56) )
& ~ ! [X55] :
( ~ ( p103(X55)
& ~ p104(X55)
& ~ p4(X55) )
| ~ r1(X30,X55) ) ) )
& ( ~ ( p103(X30)
& ~ p104(X30) )
| ( ~ ! [X54] :
( ~ ( p104(X54)
& ~ p105(X54)
& p5(X54) )
| ~ r1(X30,X54) )
& ~ ! [X53] :
( ~ ( p104(X53)
& ~ p105(X53)
& ~ p5(X53) )
| ~ r1(X30,X53) ) ) )
& ( ~ ( p104(X30)
& ~ p105(X30) )
| ( ~ ! [X52] :
( ~ ( p105(X52)
& ~ p106(X52)
& p6(X52) )
| ~ r1(X30,X52) )
& ~ ! [X51] :
( ~ ( p105(X51)
& ~ p106(X51)
& ~ p6(X51) )
| ~ r1(X30,X51) ) ) )
& ( ~ ( p105(X30)
& ~ p106(X30) )
| ( ~ ! [X50] :
( ~ ( p106(X50)
& ~ p107(X50)
& p7(X50) )
| ~ r1(X30,X50) )
& ~ ! [X49] :
( ~ ( p106(X49)
& ~ p107(X49)
& ~ p7(X49) )
| ~ r1(X30,X49) ) ) )
& ( ~ ( p106(X30)
& ~ p107(X30) )
| ( ~ ! [X48] :
( ~ ( p107(X48)
& ~ p108(X48)
& p8(X48) )
| ~ r1(X30,X48) )
& ~ ! [X47] :
( ~ ( p107(X47)
& ~ p108(X47)
& ~ p8(X47) )
| ~ r1(X30,X47) ) ) )
& ( ~ ( p107(X30)
& ~ p108(X30) )
| ( ~ ! [X46] :
( ~ ( p108(X46)
& ~ p109(X46)
& p9(X46) )
| ~ r1(X30,X46) )
& ~ ! [X45] :
( ~ ( p108(X45)
& ~ p109(X45)
& ~ p9(X45) )
| ~ r1(X30,X45) ) ) )
& ( ~ ( p108(X30)
& ~ p109(X30) )
| ( ~ ! [X44] :
( ~ ( p109(X44)
& ~ p110(X44)
& p10(X44) )
| ~ r1(X30,X44) )
& ~ ! [X43] :
( ~ ( p109(X43)
& ~ p110(X43)
& ~ p10(X43) )
| ~ r1(X30,X43) ) ) )
& ( ~ ( p109(X30)
& ~ p110(X30) )
| ( ~ ! [X42] :
( ~ ( p110(X42)
& ~ p111(X42)
& p11(X42) )
| ~ r1(X30,X42) )
& ~ ! [X41] :
( ~ ( p110(X41)
& ~ p111(X41)
& ~ p11(X41) )
| ~ r1(X30,X41) ) ) )
& ( ~ ( p110(X30)
& ~ p111(X30) )
| ( ~ ! [X40] :
( ~ ( p111(X40)
& ~ p112(X40)
& p12(X40) )
| ~ r1(X30,X40) )
& ~ ! [X39] :
( ~ ( p111(X39)
& ~ p112(X39)
& ~ p12(X39) )
| ~ r1(X30,X39) ) ) )
& ( ~ ( p111(X30)
& ~ p112(X30) )
| ( ~ ! [X38] :
( ~ ( p112(X38)
& ~ p113(X38)
& p13(X38) )
| ~ r1(X30,X38) )
& ~ ! [X37] :
( ~ ( p112(X37)
& ~ p113(X37)
& ~ p13(X37) )
| ~ r1(X30,X37) ) ) )
& ( ~ ( p112(X30)
& ~ p113(X30) )
| ( ~ ! [X36] :
( ~ ( p113(X36)
& ~ p114(X36)
& p14(X36) )
| ~ r1(X30,X36) )
& ~ ! [X35] :
( ~ ( p113(X35)
& ~ p114(X35)
& ~ p14(X35) )
| ~ r1(X30,X35) ) ) )
& ( ~ ( p113(X30)
& ~ p114(X30) )
| ( ~ ! [X34] :
( ~ ( p114(X34)
& ~ p115(X34)
& p15(X34) )
| ~ r1(X30,X34) )
& ~ ! [X33] :
( ~ ( p114(X33)
& ~ p115(X33)
& ~ p15(X33) )
| ~ r1(X30,X33) ) ) )
& ( ~ ( p114(X30)
& ~ p115(X30) )
| ( ~ ! [X32] :
( ~ ( p115(X32)
& ~ p116(X32)
& p16(X32) )
| ~ r1(X30,X32) )
& ~ ! [X31] :
( ~ ( p115(X31)
& ~ p116(X31)
& ~ p16(X31) )
| ~ 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(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) ) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( p7(X15)
| ~ 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)
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ( ~ p101(X30)
| p100(X30) )
& ( ~ p102(X30)
| p101(X30) )
& ( ~ p103(X30)
| p102(X30) )
& ( ~ p104(X30)
| p103(X30) )
& ( ~ p105(X30)
| p104(X30) )
& ( ~ p106(X30)
| p105(X30) )
& ( ~ p107(X30)
| p106(X30) )
& ( ~ p108(X30)
| p107(X30) )
& ( ~ p109(X30)
| p108(X30) )
& ( ~ p110(X30)
| p109(X30) )
& ( ~ p111(X30)
| p110(X30) )
& ( ~ p112(X30)
| p111(X30) )
& ( ~ p113(X30)
| p112(X30) )
& ( ~ p114(X30)
| p113(X30) )
& ( ~ p115(X30)
| p114(X30) )
& ( ~ p100(X30)
| ( ( ~ p1(X30)
| ! [X92] :
( ~ p100(X92)
| p1(X92)
| ~ r1(X30,X92) ) )
& ( p1(X30)
| ! [X91] :
( ~ p100(X91)
| ~ p1(X91)
| ~ r1(X30,X91) ) ) ) )
& ( ~ p101(X30)
| ( ( ~ p2(X30)
| ! [X90] :
( ~ p101(X90)
| p2(X90)
| ~ r1(X30,X90) ) )
& ( p2(X30)
| ! [X89] :
( ~ p101(X89)
| ~ p2(X89)
| ~ r1(X30,X89) ) ) ) )
& ( ~ p102(X30)
| ( ( ~ p3(X30)
| ! [X88] :
( ~ p102(X88)
| p3(X88)
| ~ r1(X30,X88) ) )
& ( p3(X30)
| ! [X87] :
( ~ p102(X87)
| ~ p3(X87)
| ~ r1(X30,X87) ) ) ) )
& ( ~ p103(X30)
| ( ( ~ p4(X30)
| ! [X86] :
( ~ p103(X86)
| p4(X86)
| ~ r1(X30,X86) ) )
& ( p4(X30)
| ! [X85] :
( ~ p103(X85)
| ~ p4(X85)
| ~ r1(X30,X85) ) ) ) )
& ( ~ p104(X30)
| ( ( ~ p5(X30)
| ! [X84] :
( ~ p104(X84)
| p5(X84)
| ~ r1(X30,X84) ) )
& ( p5(X30)
| ! [X83] :
( ~ p104(X83)
| ~ p5(X83)
| ~ r1(X30,X83) ) ) ) )
& ( ~ p105(X30)
| ( ( ~ p6(X30)
| ! [X82] :
( ~ p105(X82)
| p6(X82)
| ~ r1(X30,X82) ) )
& ( p6(X30)
| ! [X81] :
( ~ p105(X81)
| ~ p6(X81)
| ~ r1(X30,X81) ) ) ) )
& ( ~ p106(X30)
| ( ( ~ p7(X30)
| ! [X80] :
( ~ p106(X80)
| p7(X80)
| ~ r1(X30,X80) ) )
& ( p7(X30)
| ! [X79] :
( ~ p106(X79)
| ~ p7(X79)
| ~ r1(X30,X79) ) ) ) )
& ( ~ p107(X30)
| ( ( ~ p8(X30)
| ! [X78] :
( ~ p107(X78)
| p8(X78)
| ~ r1(X30,X78) ) )
& ( p8(X30)
| ! [X77] :
( ~ p107(X77)
| ~ p8(X77)
| ~ r1(X30,X77) ) ) ) )
& ( ~ p108(X30)
| ( ( ~ p9(X30)
| ! [X76] :
( ~ p108(X76)
| p9(X76)
| ~ r1(X30,X76) ) )
& ( p9(X30)
| ! [X75] :
( ~ p108(X75)
| ~ p9(X75)
| ~ r1(X30,X75) ) ) ) )
& ( ~ p109(X30)
| ( ( ~ p10(X30)
| ! [X74] :
( ~ p109(X74)
| p10(X74)
| ~ r1(X30,X74) ) )
& ( p10(X30)
| ! [X73] :
( ~ p109(X73)
| ~ p10(X73)
| ~ r1(X30,X73) ) ) ) )
& ( ~ p110(X30)
| ( ( ~ p11(X30)
| ! [X72] :
( ~ p110(X72)
| p11(X72)
| ~ r1(X30,X72) ) )
& ( p11(X30)
| ! [X71] :
( ~ p110(X71)
| ~ p11(X71)
| ~ r1(X30,X71) ) ) ) )
& ( ~ p111(X30)
| ( ( ~ p12(X30)
| ! [X70] :
( ~ p111(X70)
| p12(X70)
| ~ r1(X30,X70) ) )
& ( p12(X30)
| ! [X69] :
( ~ p111(X69)
| ~ p12(X69)
| ~ r1(X30,X69) ) ) ) )
& ( ~ p112(X30)
| ( ( ~ p13(X30)
| ! [X68] :
( ~ p112(X68)
| p13(X68)
| ~ r1(X30,X68) ) )
& ( p13(X30)
| ! [X67] :
( ~ p112(X67)
| ~ p13(X67)
| ~ r1(X30,X67) ) ) ) )
& ( ~ p113(X30)
| ( ( ~ p14(X30)
| ! [X66] :
( ~ p113(X66)
| p14(X66)
| ~ r1(X30,X66) ) )
& ( p14(X30)
| ! [X65] :
( ~ p113(X65)
| ~ p14(X65)
| ~ r1(X30,X65) ) ) ) )
& ( ~ p114(X30)
| ( ( ~ p15(X30)
| ! [X64] :
( ~ p114(X64)
| p15(X64)
| ~ r1(X30,X64) ) )
& ( p15(X30)
| ! [X63] :
( ~ p114(X63)
| ~ p15(X63)
| ~ r1(X30,X63) ) ) ) )
& ( ~ p115(X30)
| ( ( ~ p16(X30)
| ! [X62] :
( ~ p115(X62)
| p16(X62)
| ~ r1(X30,X62) ) )
& ( p16(X30)
| ! [X61] :
( ~ p115(X61)
| ~ p16(X61)
| ~ r1(X30,X61) ) ) ) )
& ( ~ ( p100(X30)
& ~ p101(X30) )
| ( ~ ! [X60] :
( ~ ( p101(X60)
& ~ p102(X60)
& p2(X60) )
| ~ r1(X30,X60) )
& ~ ! [X59] :
( ~ ( p101(X59)
& ~ p102(X59)
& ~ p2(X59) )
| ~ r1(X30,X59) ) ) )
& ( ~ ( p101(X30)
& ~ p102(X30) )
| ( ~ ! [X58] :
( ~ ( p102(X58)
& ~ p103(X58)
& p3(X58) )
| ~ r1(X30,X58) )
& ~ ! [X57] :
( ~ ( p102(X57)
& ~ p103(X57)
& ~ p3(X57) )
| ~ r1(X30,X57) ) ) )
& ( ~ ( p102(X30)
& ~ p103(X30) )
| ( ~ ! [X56] :
( ~ ( p103(X56)
& ~ p104(X56)
& p4(X56) )
| ~ r1(X30,X56) )
& ~ ! [X55] :
( ~ ( p103(X55)
& ~ p104(X55)
& ~ p4(X55) )
| ~ r1(X30,X55) ) ) )
& ( ~ ( p103(X30)
& ~ p104(X30) )
| ( ~ ! [X54] :
( ~ ( p104(X54)
& ~ p105(X54)
& p5(X54) )
| ~ r1(X30,X54) )
& ~ ! [X53] :
( ~ ( p104(X53)
& ~ p105(X53)
& ~ p5(X53) )
| ~ r1(X30,X53) ) ) )
& ( ~ ( p104(X30)
& ~ p105(X30) )
| ( ~ ! [X52] :
( ~ ( p105(X52)
& ~ p106(X52)
& p6(X52) )
| ~ r1(X30,X52) )
& ~ ! [X51] :
( ~ ( p105(X51)
& ~ p106(X51)
& ~ p6(X51) )
| ~ r1(X30,X51) ) ) )
& ( ~ ( p105(X30)
& ~ p106(X30) )
| ( ~ ! [X50] :
( ~ ( p106(X50)
& ~ p107(X50)
& p7(X50) )
| ~ r1(X30,X50) )
& ~ ! [X49] :
( ~ ( p106(X49)
& ~ p107(X49)
& ~ p7(X49) )
| ~ r1(X30,X49) ) ) )
& ( ~ ( p106(X30)
& ~ p107(X30) )
| ( ~ ! [X48] :
( ~ ( p107(X48)
& ~ p108(X48)
& p8(X48) )
| ~ r1(X30,X48) )
& ~ ! [X47] :
( ~ ( p107(X47)
& ~ p108(X47)
& ~ p8(X47) )
| ~ r1(X30,X47) ) ) )
& ( ~ ( p107(X30)
& ~ p108(X30) )
| ( ~ ! [X46] :
( ~ ( p108(X46)
& ~ p109(X46)
& p9(X46) )
| ~ r1(X30,X46) )
& ~ ! [X45] :
( ~ ( p108(X45)
& ~ p109(X45)
& ~ p9(X45) )
| ~ r1(X30,X45) ) ) )
& ( ~ ( p108(X30)
& ~ p109(X30) )
| ( ~ ! [X44] :
( ~ ( p109(X44)
& ~ p110(X44)
& p10(X44) )
| ~ r1(X30,X44) )
& ~ ! [X43] :
( ~ ( p109(X43)
& ~ p110(X43)
& ~ p10(X43) )
| ~ r1(X30,X43) ) ) )
& ( ~ ( p109(X30)
& ~ p110(X30) )
| ( ~ ! [X42] :
( ~ ( p110(X42)
& ~ p111(X42)
& p11(X42) )
| ~ r1(X30,X42) )
& ~ ! [X41] :
( ~ ( p110(X41)
& ~ p111(X41)
& ~ p11(X41) )
| ~ r1(X30,X41) ) ) )
& ( ~ ( p110(X30)
& ~ p111(X30) )
| ( ~ ! [X40] :
( ~ ( p111(X40)
& ~ p112(X40)
& p12(X40) )
| ~ r1(X30,X40) )
& ~ ! [X39] :
( ~ ( p111(X39)
& ~ p112(X39)
& ~ p12(X39) )
| ~ r1(X30,X39) ) ) )
& ( ~ ( p111(X30)
& ~ p112(X30) )
| ( ~ ! [X38] :
( ~ ( p112(X38)
& ~ p113(X38)
& p13(X38) )
| ~ r1(X30,X38) )
& ~ ! [X37] :
( ~ ( p112(X37)
& ~ p113(X37)
& ~ p13(X37) )
| ~ r1(X30,X37) ) ) )
& ( ~ ( p112(X30)
& ~ p113(X30) )
| ( ~ ! [X36] :
( ~ ( p113(X36)
& ~ p114(X36)
& p14(X36) )
| ~ r1(X30,X36) )
& ~ ! [X35] :
( ~ ( p113(X35)
& ~ p114(X35)
& ~ p14(X35) )
| ~ r1(X30,X35) ) ) )
& ( ~ ( p113(X30)
& ~ p114(X30) )
| ( ~ ! [X34] :
( ~ ( p114(X34)
& ~ p115(X34)
& p15(X34) )
| ~ r1(X30,X34) )
& ~ ! [X33] :
( ~ ( p114(X33)
& ~ p115(X33)
& ~ p15(X33) )
| ~ r1(X30,X33) ) ) )
& ( ~ ( p114(X30)
& ~ p115(X30) )
| ( ~ ! [X32] :
( ~ ( p115(X32)
& p16(X32) )
| ~ r1(X30,X32) )
& ~ ! [X31] :
( ~ ( p115(X31)
& ~ p16(X31) )
| ~ 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(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) ) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( p7(X15)
| ~ 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)
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ( ~ p101(X30)
| p100(X30) )
& ( ~ p102(X30)
| p101(X30) )
& ( ~ p103(X30)
| p102(X30) )
& ( ~ p104(X30)
| p103(X30) )
& ( ~ p105(X30)
| p104(X30) )
& ( ~ p106(X30)
| p105(X30) )
& ( ~ p107(X30)
| p106(X30) )
& ( ~ p108(X30)
| p107(X30) )
& ( ~ p109(X30)
| p108(X30) )
& ( ~ p110(X30)
| p109(X30) )
& ( ~ p111(X30)
| p110(X30) )
& ( ~ p112(X30)
| p111(X30) )
& ( ~ p113(X30)
| p112(X30) )
& ( ~ p114(X30)
| p113(X30) )
& ( ~ p115(X30)
| p114(X30) )
& ( ~ p100(X30)
| ( ( ~ p1(X30)
| ! [X92] :
( ~ p100(X92)
| p1(X92)
| ~ r1(X30,X92) ) )
& ( p1(X30)
| ! [X91] :
( ~ p100(X91)
| ~ p1(X91)
| ~ r1(X30,X91) ) ) ) )
& ( ~ p101(X30)
| ( ( ~ p2(X30)
| ! [X90] :
( ~ p101(X90)
| p2(X90)
| ~ r1(X30,X90) ) )
& ( p2(X30)
| ! [X89] :
( ~ p101(X89)
| ~ p2(X89)
| ~ r1(X30,X89) ) ) ) )
& ( ~ p102(X30)
| ( ( ~ p3(X30)
| ! [X88] :
( ~ p102(X88)
| p3(X88)
| ~ r1(X30,X88) ) )
& ( p3(X30)
| ! [X87] :
( ~ p102(X87)
| ~ p3(X87)
| ~ r1(X30,X87) ) ) ) )
& ( ~ p103(X30)
| ( ( ~ p4(X30)
| ! [X86] :
( ~ p103(X86)
| p4(X86)
| ~ r1(X30,X86) ) )
& ( p4(X30)
| ! [X85] :
( ~ p103(X85)
| ~ p4(X85)
| ~ r1(X30,X85) ) ) ) )
& ( ~ p104(X30)
| ( ( ~ p5(X30)
| ! [X84] :
( ~ p104(X84)
| p5(X84)
| ~ r1(X30,X84) ) )
& ( p5(X30)
| ! [X83] :
( ~ p104(X83)
| ~ p5(X83)
| ~ r1(X30,X83) ) ) ) )
& ( ~ p105(X30)
| ( ( ~ p6(X30)
| ! [X82] :
( ~ p105(X82)
| p6(X82)
| ~ r1(X30,X82) ) )
& ( p6(X30)
| ! [X81] :
( ~ p105(X81)
| ~ p6(X81)
| ~ r1(X30,X81) ) ) ) )
& ( ~ p106(X30)
| ( ( ~ p7(X30)
| ! [X80] :
( ~ p106(X80)
| p7(X80)
| ~ r1(X30,X80) ) )
& ( p7(X30)
| ! [X79] :
( ~ p106(X79)
| ~ p7(X79)
| ~ r1(X30,X79) ) ) ) )
& ( ~ p107(X30)
| ( ( ~ p8(X30)
| ! [X78] :
( ~ p107(X78)
| p8(X78)
| ~ r1(X30,X78) ) )
& ( p8(X30)
| ! [X77] :
( ~ p107(X77)
| ~ p8(X77)
| ~ r1(X30,X77) ) ) ) )
& ( ~ p108(X30)
| ( ( ~ p9(X30)
| ! [X76] :
( ~ p108(X76)
| p9(X76)
| ~ r1(X30,X76) ) )
& ( p9(X30)
| ! [X75] :
( ~ p108(X75)
| ~ p9(X75)
| ~ r1(X30,X75) ) ) ) )
& ( ~ p109(X30)
| ( ( ~ p10(X30)
| ! [X74] :
( ~ p109(X74)
| p10(X74)
| ~ r1(X30,X74) ) )
& ( p10(X30)
| ! [X73] :
( ~ p109(X73)
| ~ p10(X73)
| ~ r1(X30,X73) ) ) ) )
& ( ~ p110(X30)
| ( ( ~ p11(X30)
| ! [X72] :
( ~ p110(X72)
| p11(X72)
| ~ r1(X30,X72) ) )
& ( p11(X30)
| ! [X71] :
( ~ p110(X71)
| ~ p11(X71)
| ~ r1(X30,X71) ) ) ) )
& ( ~ p111(X30)
| ( ( ~ p12(X30)
| ! [X70] :
( ~ p111(X70)
| p12(X70)
| ~ r1(X30,X70) ) )
& ( p12(X30)
| ! [X69] :
( ~ p111(X69)
| ~ p12(X69)
| ~ r1(X30,X69) ) ) ) )
& ( ~ p112(X30)
| ( ( ~ p13(X30)
| ! [X68] :
( ~ p112(X68)
| p13(X68)
| ~ r1(X30,X68) ) )
& ( p13(X30)
| ! [X67] :
( ~ p112(X67)
| ~ p13(X67)
| ~ r1(X30,X67) ) ) ) )
& ( ~ p113(X30)
| ( ( ~ p14(X30)
| ! [X66] :
( ~ p113(X66)
| p14(X66)
| ~ r1(X30,X66) ) )
& ( p14(X30)
| ! [X65] :
( ~ p113(X65)
| ~ p14(X65)
| ~ r1(X30,X65) ) ) ) )
& ( ~ p114(X30)
| ( ( ~ p15(X30)
| ! [X64] :
( ~ p114(X64)
| p15(X64)
| ~ r1(X30,X64) ) )
& ( p15(X30)
| ! [X63] :
( ~ p114(X63)
| ~ p15(X63)
| ~ r1(X30,X63) ) ) ) )
& ( ~ p115(X30)
| ( ( ~ p16(X30)
| ! [X62] :
( ~ p115(X62)
| p16(X62)
| ~ r1(X30,X62) ) )
& ( p16(X30)
| ! [X61] :
( ~ p115(X61)
| ~ p16(X61)
| ~ r1(X30,X61) ) ) ) )
& ( ~ p100(X30)
| p101(X30)
| ( ? [X60] :
( p101(X60)
& ~ p102(X60)
& p2(X60)
& r1(X30,X60) )
& ? [X59] :
( p101(X59)
& ~ p102(X59)
& ~ p2(X59)
& r1(X30,X59) ) ) )
& ( ~ p101(X30)
| p102(X30)
| ( ? [X58] :
( p102(X58)
& ~ p103(X58)
& p3(X58)
& r1(X30,X58) )
& ? [X57] :
( p102(X57)
& ~ p103(X57)
& ~ p3(X57)
& r1(X30,X57) ) ) )
& ( ~ p102(X30)
| p103(X30)
| ( ? [X56] :
( p103(X56)
& ~ p104(X56)
& p4(X56)
& r1(X30,X56) )
& ? [X55] :
( p103(X55)
& ~ p104(X55)
& ~ p4(X55)
& r1(X30,X55) ) ) )
& ( ~ p103(X30)
| p104(X30)
| ( ? [X54] :
( p104(X54)
& ~ p105(X54)
& p5(X54)
& r1(X30,X54) )
& ? [X53] :
( p104(X53)
& ~ p105(X53)
& ~ p5(X53)
& r1(X30,X53) ) ) )
& ( ~ p104(X30)
| p105(X30)
| ( ? [X52] :
( p105(X52)
& ~ p106(X52)
& p6(X52)
& r1(X30,X52) )
& ? [X51] :
( p105(X51)
& ~ p106(X51)
& ~ p6(X51)
& r1(X30,X51) ) ) )
& ( ~ p105(X30)
| p106(X30)
| ( ? [X50] :
( p106(X50)
& ~ p107(X50)
& p7(X50)
& r1(X30,X50) )
& ? [X49] :
( p106(X49)
& ~ p107(X49)
& ~ p7(X49)
& r1(X30,X49) ) ) )
& ( ~ p106(X30)
| p107(X30)
| ( ? [X48] :
( p107(X48)
& ~ p108(X48)
& p8(X48)
& r1(X30,X48) )
& ? [X47] :
( p107(X47)
& ~ p108(X47)
& ~ p8(X47)
& r1(X30,X47) ) ) )
& ( ~ p107(X30)
| p108(X30)
| ( ? [X46] :
( p108(X46)
& ~ p109(X46)
& p9(X46)
& r1(X30,X46) )
& ? [X45] :
( p108(X45)
& ~ p109(X45)
& ~ p9(X45)
& r1(X30,X45) ) ) )
& ( ~ p108(X30)
| p109(X30)
| ( ? [X44] :
( p109(X44)
& ~ p110(X44)
& p10(X44)
& r1(X30,X44) )
& ? [X43] :
( p109(X43)
& ~ p110(X43)
& ~ p10(X43)
& r1(X30,X43) ) ) )
& ( ~ p109(X30)
| p110(X30)
| ( ? [X42] :
( p110(X42)
& ~ p111(X42)
& p11(X42)
& r1(X30,X42) )
& ? [X41] :
( p110(X41)
& ~ p111(X41)
& ~ p11(X41)
& r1(X30,X41) ) ) )
& ( ~ p110(X30)
| p111(X30)
| ( ? [X40] :
( p111(X40)
& ~ p112(X40)
& p12(X40)
& r1(X30,X40) )
& ? [X39] :
( p111(X39)
& ~ p112(X39)
& ~ p12(X39)
& r1(X30,X39) ) ) )
& ( ~ p111(X30)
| p112(X30)
| ( ? [X38] :
( p112(X38)
& ~ p113(X38)
& p13(X38)
& r1(X30,X38) )
& ? [X37] :
( p112(X37)
& ~ p113(X37)
& ~ p13(X37)
& r1(X30,X37) ) ) )
& ( ~ p112(X30)
| p113(X30)
| ( ? [X36] :
( p113(X36)
& ~ p114(X36)
& p14(X36)
& r1(X30,X36) )
& ? [X35] :
( p113(X35)
& ~ p114(X35)
& ~ p14(X35)
& r1(X30,X35) ) ) )
& ( ~ p113(X30)
| p114(X30)
| ( ? [X34] :
( p114(X34)
& ~ p115(X34)
& p15(X34)
& r1(X30,X34) )
& ? [X33] :
( p114(X33)
& ~ p115(X33)
& ~ p15(X33)
& r1(X30,X33) ) ) )
& ( ~ p114(X30)
| p115(X30)
| ( ? [X32] :
( p115(X32)
& p16(X32)
& r1(X30,X32) )
& ? [X31] :
( p115(X31)
& ~ p16(X31)
& 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(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( p7(X15)
| ~ 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)
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ( ~ p101(X30)
| p100(X30) )
& ( ~ p102(X30)
| p101(X30) )
& ( ~ p103(X30)
| p102(X30) )
& ( ~ p104(X30)
| p103(X30) )
& ( ~ p105(X30)
| p104(X30) )
& ( ~ p106(X30)
| p105(X30) )
& ( ~ p107(X30)
| p106(X30) )
& ( ~ p108(X30)
| p107(X30) )
& ( ~ p109(X30)
| p108(X30) )
& ( ~ p110(X30)
| p109(X30) )
& ( ~ p111(X30)
| p110(X30) )
& ( ~ p112(X30)
| p111(X30) )
& ( ~ p113(X30)
| p112(X30) )
& ( ~ p114(X30)
| p113(X30) )
& ( ~ p115(X30)
| p114(X30) )
& ( ~ p100(X30)
| ( ( ~ p1(X30)
| ! [X92] :
( ~ p100(X92)
| p1(X92)
| ~ r1(X30,X92) ) )
& ( p1(X30)
| ! [X91] :
( ~ p100(X91)
| ~ p1(X91)
| ~ r1(X30,X91) ) ) ) )
& ( ~ p101(X30)
| ( ( ~ p2(X30)
| ! [X90] :
( ~ p101(X90)
| p2(X90)
| ~ r1(X30,X90) ) )
& ( p2(X30)
| ! [X89] :
( ~ p101(X89)
| ~ p2(X89)
| ~ r1(X30,X89) ) ) ) )
& ( ~ p102(X30)
| ( ( ~ p3(X30)
| ! [X88] :
( ~ p102(X88)
| p3(X88)
| ~ r1(X30,X88) ) )
& ( p3(X30)
| ! [X87] :
( ~ p102(X87)
| ~ p3(X87)
| ~ r1(X30,X87) ) ) ) )
& ( ~ p103(X30)
| ( ( ~ p4(X30)
| ! [X86] :
( ~ p103(X86)
| p4(X86)
| ~ r1(X30,X86) ) )
& ( p4(X30)
| ! [X85] :
( ~ p103(X85)
| ~ p4(X85)
| ~ r1(X30,X85) ) ) ) )
& ( ~ p104(X30)
| ( ( ~ p5(X30)
| ! [X84] :
( ~ p104(X84)
| p5(X84)
| ~ r1(X30,X84) ) )
& ( p5(X30)
| ! [X83] :
( ~ p104(X83)
| ~ p5(X83)
| ~ r1(X30,X83) ) ) ) )
& ( ~ p105(X30)
| ( ( ~ p6(X30)
| ! [X82] :
( ~ p105(X82)
| p6(X82)
| ~ r1(X30,X82) ) )
& ( p6(X30)
| ! [X81] :
( ~ p105(X81)
| ~ p6(X81)
| ~ r1(X30,X81) ) ) ) )
& ( ~ p106(X30)
| ( ( ~ p7(X30)
| ! [X80] :
( ~ p106(X80)
| p7(X80)
| ~ r1(X30,X80) ) )
& ( p7(X30)
| ! [X79] :
( ~ p106(X79)
| ~ p7(X79)
| ~ r1(X30,X79) ) ) ) )
& ( ~ p107(X30)
| ( ( ~ p8(X30)
| ! [X78] :
( ~ p107(X78)
| p8(X78)
| ~ r1(X30,X78) ) )
& ( p8(X30)
| ! [X77] :
( ~ p107(X77)
| ~ p8(X77)
| ~ r1(X30,X77) ) ) ) )
& ( ~ p108(X30)
| ( ( ~ p9(X30)
| ! [X76] :
( ~ p108(X76)
| p9(X76)
| ~ r1(X30,X76) ) )
& ( p9(X30)
| ! [X75] :
( ~ p108(X75)
| ~ p9(X75)
| ~ r1(X30,X75) ) ) ) )
& ( ~ p109(X30)
| ( ( ~ p10(X30)
| ! [X74] :
( ~ p109(X74)
| p10(X74)
| ~ r1(X30,X74) ) )
& ( p10(X30)
| ! [X73] :
( ~ p109(X73)
| ~ p10(X73)
| ~ r1(X30,X73) ) ) ) )
& ( ~ p110(X30)
| ( ( ~ p11(X30)
| ! [X72] :
( ~ p110(X72)
| p11(X72)
| ~ r1(X30,X72) ) )
& ( p11(X30)
| ! [X71] :
( ~ p110(X71)
| ~ p11(X71)
| ~ r1(X30,X71) ) ) ) )
& ( ~ p111(X30)
| ( ( ~ p12(X30)
| ! [X70] :
( ~ p111(X70)
| p12(X70)
| ~ r1(X30,X70) ) )
& ( p12(X30)
| ! [X69] :
( ~ p111(X69)
| ~ p12(X69)
| ~ r1(X30,X69) ) ) ) )
& ( ~ p112(X30)
| ( ( ~ p13(X30)
| ! [X68] :
( ~ p112(X68)
| p13(X68)
| ~ r1(X30,X68) ) )
& ( p13(X30)
| ! [X67] :
( ~ p112(X67)
| ~ p13(X67)
| ~ r1(X30,X67) ) ) ) )
& ( ~ p113(X30)
| ( ( ~ p14(X30)
| ! [X66] :
( ~ p113(X66)
| p14(X66)
| ~ r1(X30,X66) ) )
& ( p14(X30)
| ! [X65] :
( ~ p113(X65)
| ~ p14(X65)
| ~ r1(X30,X65) ) ) ) )
& ( ~ p114(X30)
| ( ( ~ p15(X30)
| ! [X64] :
( ~ p114(X64)
| p15(X64)
| ~ r1(X30,X64) ) )
& ( p15(X30)
| ! [X63] :
( ~ p114(X63)
| ~ p15(X63)
| ~ r1(X30,X63) ) ) ) )
& ( ~ p115(X30)
| ( ( ~ p16(X30)
| ! [X62] :
( ~ p115(X62)
| p16(X62)
| ~ r1(X30,X62) ) )
& ( p16(X30)
| ! [X61] :
( ~ p115(X61)
| ~ p16(X61)
| ~ r1(X30,X61) ) ) ) )
& ( ~ p100(X30)
| p101(X30)
| ( ? [X60] :
( p101(X60)
& ~ p102(X60)
& p2(X60)
& r1(X30,X60) )
& ? [X59] :
( p101(X59)
& ~ p102(X59)
& ~ p2(X59)
& r1(X30,X59) ) ) )
& ( ~ p101(X30)
| p102(X30)
| ( ? [X58] :
( p102(X58)
& ~ p103(X58)
& p3(X58)
& r1(X30,X58) )
& ? [X57] :
( p102(X57)
& ~ p103(X57)
& ~ p3(X57)
& r1(X30,X57) ) ) )
& ( ~ p102(X30)
| p103(X30)
| ( ? [X56] :
( p103(X56)
& ~ p104(X56)
& p4(X56)
& r1(X30,X56) )
& ? [X55] :
( p103(X55)
& ~ p104(X55)
& ~ p4(X55)
& r1(X30,X55) ) ) )
& ( ~ p103(X30)
| p104(X30)
| ( ? [X54] :
( p104(X54)
& ~ p105(X54)
& p5(X54)
& r1(X30,X54) )
& ? [X53] :
( p104(X53)
& ~ p105(X53)
& ~ p5(X53)
& r1(X30,X53) ) ) )
& ( ~ p104(X30)
| p105(X30)
| ( ? [X52] :
( p105(X52)
& ~ p106(X52)
& p6(X52)
& r1(X30,X52) )
& ? [X51] :
( p105(X51)
& ~ p106(X51)
& ~ p6(X51)
& r1(X30,X51) ) ) )
& ( ~ p105(X30)
| p106(X30)
| ( ? [X50] :
( p106(X50)
& ~ p107(X50)
& p7(X50)
& r1(X30,X50) )
& ? [X49] :
( p106(X49)
& ~ p107(X49)
& ~ p7(X49)
& r1(X30,X49) ) ) )
& ( ~ p106(X30)
| p107(X30)
| ( ? [X48] :
( p107(X48)
& ~ p108(X48)
& p8(X48)
& r1(X30,X48) )
& ? [X47] :
( p107(X47)
& ~ p108(X47)
& ~ p8(X47)
& r1(X30,X47) ) ) )
& ( ~ p107(X30)
| p108(X30)
| ( ? [X46] :
( p108(X46)
& ~ p109(X46)
& p9(X46)
& r1(X30,X46) )
& ? [X45] :
( p108(X45)
& ~ p109(X45)
& ~ p9(X45)
& r1(X30,X45) ) ) )
& ( ~ p108(X30)
| p109(X30)
| ( ? [X44] :
( p109(X44)
& ~ p110(X44)
& p10(X44)
& r1(X30,X44) )
& ? [X43] :
( p109(X43)
& ~ p110(X43)
& ~ p10(X43)
& r1(X30,X43) ) ) )
& ( ~ p109(X30)
| p110(X30)
| ( ? [X42] :
( p110(X42)
& ~ p111(X42)
& p11(X42)
& r1(X30,X42) )
& ? [X41] :
( p110(X41)
& ~ p111(X41)
& ~ p11(X41)
& r1(X30,X41) ) ) )
& ( ~ p110(X30)
| p111(X30)
| ( ? [X40] :
( p111(X40)
& ~ p112(X40)
& p12(X40)
& r1(X30,X40) )
& ? [X39] :
( p111(X39)
& ~ p112(X39)
& ~ p12(X39)
& r1(X30,X39) ) ) )
& ( ~ p111(X30)
| p112(X30)
| ( ? [X38] :
( p112(X38)
& ~ p113(X38)
& p13(X38)
& r1(X30,X38) )
& ? [X37] :
( p112(X37)
& ~ p113(X37)
& ~ p13(X37)
& r1(X30,X37) ) ) )
& ( ~ p112(X30)
| p113(X30)
| ( ? [X36] :
( p113(X36)
& ~ p114(X36)
& p14(X36)
& r1(X30,X36) )
& ? [X35] :
( p113(X35)
& ~ p114(X35)
& ~ p14(X35)
& r1(X30,X35) ) ) )
& ( ~ p113(X30)
| p114(X30)
| ( ? [X34] :
( p114(X34)
& ~ p115(X34)
& p15(X34)
& r1(X30,X34) )
& ? [X33] :
( p114(X33)
& ~ p115(X33)
& ~ p15(X33)
& r1(X30,X33) ) ) )
& ( ~ p114(X30)
| p115(X30)
| ( ? [X32] :
( p115(X32)
& p16(X32)
& r1(X30,X32) )
& ? [X31] :
( p115(X31)
& ~ p16(X31)
& 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(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( p7(X15)
| ~ 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(f42,plain,
! [X30] :
( ~ sP31(X30)
| ( ( ~ p101(X30)
| p100(X30) )
& ( ~ p102(X30)
| p101(X30) )
& ( ~ p103(X30)
| p102(X30) )
& ( ~ p104(X30)
| p103(X30) )
& ( ~ p105(X30)
| p104(X30) )
& ( ~ p106(X30)
| p105(X30) )
& ( ~ p107(X30)
| p106(X30) )
& ( ~ p108(X30)
| p107(X30) )
& ( ~ p109(X30)
| p108(X30) )
& ( ~ p110(X30)
| p109(X30) )
& ( ~ p111(X30)
| p110(X30) )
& ( ~ p112(X30)
| p111(X30) )
& ( ~ p113(X30)
| p112(X30) )
& ( ~ p114(X30)
| p113(X30) )
& ( ~ p115(X30)
| p114(X30) )
& sP15(X30)
& sP16(X30)
& sP17(X30)
& sP18(X30)
& sP19(X30)
& sP20(X30)
& sP21(X30)
& sP22(X30)
& sP23(X30)
& sP24(X30)
& sP25(X30)
& sP26(X30)
& sP27(X30)
& sP28(X30)
& sP29(X30)
& sP30(X30)
& sP0(X30)
& sP1(X30)
& sP2(X30)
& sP3(X30)
& sP4(X30)
& sP5(X30)
& sP6(X30)
& sP7(X30)
& sP8(X30)
& sP9(X30)
& sP10(X30)
& sP11(X30)
& sP12(X30)
& sP13(X30)
& sP14(X30) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f43,plain,
! [X0] :
( ~ sP31(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) )
& sP15(X0)
& sP16(X0)
& sP17(X0)
& sP18(X0)
& sP19(X0)
& sP20(X0)
& sP21(X0)
& sP22(X0)
& sP23(X0)
& sP24(X0)
& sP25(X0)
& sP26(X0)
& sP27(X0)
& sP28(X0)
& sP29(X0)
& sP30(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) ) ),
inference(rectify,[],[f42]) ).
fof(f103,plain,
! [X30] :
( ~ sP5(X30)
| ~ p105(X30)
| p106(X30)
| ( ? [X50] :
( p106(X50)
& ~ p107(X50)
& p7(X50)
& r1(X30,X50) )
& ? [X49] :
( p106(X49)
& ~ p107(X49)
& ~ p7(X49)
& r1(X30,X49) ) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f104,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,[],[f103]) ).
fof(f105,plain,
! [X0] :
( ~ sP5(X0)
| ~ p105(X0)
| p106(X0)
| ( p106(sK51(X0))
& ~ p107(sK51(X0))
& p7(sK51(X0))
& r1(X0,sK51(X0))
& p106(sK50(X0))
& ~ p107(sK50(X0))
& ~ p7(sK50(X0))
& r1(X0,sK50(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50,sK51]),skolemize(X1,sK50(X0)),skolemize(X2,sK51(X0))],[f104]) ).
fof(f106,plain,
! [X30] :
( ~ sP4(X30)
| ~ p104(X30)
| p105(X30)
| ( ? [X52] :
( p105(X52)
& ~ p106(X52)
& p6(X52)
& r1(X30,X52) )
& ? [X51] :
( p105(X51)
& ~ p106(X51)
& ~ p6(X51)
& r1(X30,X51) ) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f107,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,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ~ sP4(X0)
| ~ p104(X0)
| p105(X0)
| ( p105(sK53(X0))
& ~ p106(sK53(X0))
& p6(sK53(X0))
& r1(X0,sK53(X0))
& p105(sK52(X0))
& ~ p106(sK52(X0))
& ~ p6(sK52(X0))
& r1(X0,sK52(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52,sK53]),skolemize(X1,sK52(X0)),skolemize(X2,sK53(X0))],[f107]) ).
fof(f109,plain,
! [X30] :
( ~ sP3(X30)
| ~ p103(X30)
| p104(X30)
| ( ? [X54] :
( p104(X54)
& ~ p105(X54)
& p5(X54)
& r1(X30,X54) )
& ? [X53] :
( p104(X53)
& ~ p105(X53)
& ~ p5(X53)
& r1(X30,X53) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f110,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,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ~ sP3(X0)
| ~ p103(X0)
| p104(X0)
| ( p104(sK55(X0))
& ~ p105(sK55(X0))
& p5(sK55(X0))
& r1(X0,sK55(X0))
& p104(sK54(X0))
& ~ p105(sK54(X0))
& ~ p5(sK54(X0))
& r1(X0,sK54(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54,sK55]),skolemize(X1,sK54(X0)),skolemize(X2,sK55(X0))],[f110]) ).
fof(f112,plain,
! [X30] :
( ~ sP2(X30)
| ~ p102(X30)
| p103(X30)
| ( ? [X56] :
( p103(X56)
& ~ p104(X56)
& p4(X56)
& r1(X30,X56) )
& ? [X55] :
( p103(X55)
& ~ p104(X55)
& ~ p4(X55)
& r1(X30,X55) ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f113,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,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ~ sP2(X0)
| ~ p102(X0)
| p103(X0)
| ( p103(sK57(X0))
& ~ p104(sK57(X0))
& p4(sK57(X0))
& r1(X0,sK57(X0))
& p103(sK56(X0))
& ~ p104(sK56(X0))
& ~ p4(sK56(X0))
& r1(X0,sK56(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56,sK57]),skolemize(X1,sK56(X0)),skolemize(X2,sK57(X0))],[f113]) ).
fof(f115,plain,
! [X30] :
( ~ sP1(X30)
| ~ p101(X30)
| p102(X30)
| ( ? [X58] :
( p102(X58)
& ~ p103(X58)
& p3(X58)
& r1(X30,X58) )
& ? [X57] :
( p102(X57)
& ~ p103(X57)
& ~ p3(X57)
& r1(X30,X57) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f116,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,[],[f115]) ).
fof(f117,plain,
! [X0] :
( ~ sP1(X0)
| ~ p101(X0)
| p102(X0)
| ( p102(sK59(X0))
& ~ p103(sK59(X0))
& p3(sK59(X0))
& r1(X0,sK59(X0))
& p102(sK58(X0))
& ~ p103(sK58(X0))
& ~ p3(sK58(X0))
& r1(X0,sK58(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58,sK59]),skolemize(X1,sK58(X0)),skolemize(X2,sK59(X0))],[f116]) ).
fof(f121,plain,
( p100(sK62)
& ~ p101(sK62)
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( sP31(X30)
| ~ 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(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(sK62,X16) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( p7(X15)
| ~ 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(sK62,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(X0,sK62)],[f41]) ).
fof(f122,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f154,plain,
! [X0] :
( ~ sP31(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f155,plain,
! [X0] :
( ~ sP31(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f156,plain,
! [X0] :
( ~ sP31(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f157,plain,
! [X0] :
( ~ sP31(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f158,plain,
! [X0] :
( ~ sP31(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f159,plain,
! [X0] :
( ~ sP31(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f277,plain,
! [X0] :
( ~ sP5(X0)
| ~ p105(X0)
| p106(X0)
| ~ p7(sK50(X0)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f278,plain,
! [X0] :
( ~ sP5(X0)
| ~ p105(X0)
| p106(X0)
| r1(X0,sK50(X0)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f283,plain,
! [X0] :
( ~ sP4(X0)
| ~ p104(X0)
| p105(X0)
| p105(sK52(X0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f284,plain,
! [X0] :
( ~ sP4(X0)
| ~ p104(X0)
| p105(X0)
| ~ p106(sK52(X0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f286,plain,
! [X0] :
( ~ sP4(X0)
| ~ p104(X0)
| p105(X0)
| r1(X0,sK52(X0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f287,plain,
! [X0] :
( ~ sP3(X0)
| ~ p103(X0)
| p104(X0)
| p104(sK55(X0)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f288,plain,
! [X0] :
( ~ sP3(X0)
| ~ p103(X0)
| p104(X0)
| ~ p105(sK55(X0)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f290,plain,
! [X0] :
( ~ sP3(X0)
| ~ p103(X0)
| p104(X0)
| r1(X0,sK55(X0)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f295,plain,
! [X0] :
( ~ sP2(X0)
| ~ p102(X0)
| p103(X0)
| p103(sK57(X0)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f296,plain,
! [X0] :
( ~ sP2(X0)
| ~ p102(X0)
| p103(X0)
| ~ p104(sK57(X0)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f298,plain,
! [X0] :
( ~ sP2(X0)
| ~ p102(X0)
| p103(X0)
| r1(X0,sK57(X0)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f303,plain,
! [X0] :
( ~ sP1(X0)
| ~ p101(X0)
| p102(X0)
| p102(sK59(X0)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f304,plain,
! [X0] :
( ~ sP1(X0)
| ~ p101(X0)
| p102(X0)
| ~ p103(sK59(X0)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f306,plain,
! [X0] :
( ~ sP1(X0)
| ~ p101(X0)
| p102(X0)
| r1(X0,sK59(X0)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f319,plain,
p100(sK62),
inference(cnf_transformation,[],[f121]) ).
fof(f320,plain,
~ p101(sK62),
inference(cnf_transformation,[],[f121]) ).
fof(f321,plain,
! [X21,X28,X29,X18,X19,X26,X16,X27,X17,X24,X22,X25,X23,X30,X20] :
( sP31(X30)
| ~ 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(X20,X21)
| ~ r1(X19,X20)
| ~ r1(X18,X19)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| ~ r1(sK62,X16) ),
inference(cnf_transformation,[],[f121]) ).
fof(f322,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( p7(X15)
| ~ 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(sK62,X1) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_49,plain,
! [X0: $i] : r1(X0,X0),
inference(cnf_transformation,[],[f122]) ).
tcf(c_59,plain,
! [X0: $i] :
( sP5(X0)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_60,plain,
! [X0: $i] :
( sP4(X0)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_61,plain,
! [X0: $i] :
( sP3(X0)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_62,plain,
! [X0: $i] :
( sP2(X0)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_63,plain,
! [X0: $i] :
( sP1(X0)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_64,plain,
! [X0: $i] :
( sP0(X0)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_198,plain,
! [X0: $i] :
( p106(X0)
| r1(X0,sK50(X0))
| ~ p105(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_199,plain,
! [X0: $i] :
( p106(X0)
| ~ p105(X0)
| ~ sP5(X0)
| ~ p7(sK50(X0)) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_206,plain,
! [X0: $i] :
( p105(X0)
| r1(X0,sK52(X0))
| ~ p104(X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_208,plain,
! [X0: $i] :
( p105(X0)
| ~ p104(X0)
| ~ sP4(X0)
| ~ p106(sK52(X0)) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_209,plain,
! [X0: $i] :
( p105(X0)
| p105(sK52(X0))
| ~ p104(X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_218,plain,
! [X0: $i] :
( p104(X0)
| r1(X0,sK55(X0))
| ~ p103(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_220,plain,
! [X0: $i] :
( p104(X0)
| ~ p103(X0)
| ~ sP3(X0)
| ~ p105(sK55(X0)) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_221,plain,
! [X0: $i] :
( p104(X0)
| p104(sK55(X0))
| ~ p103(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_226,plain,
! [X0: $i] :
( p103(X0)
| r1(X0,sK57(X0))
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_228,plain,
! [X0: $i] :
( p103(X0)
| ~ p102(X0)
| ~ sP2(X0)
| ~ p104(sK57(X0)) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_229,plain,
! [X0: $i] :
( p103(X0)
| p103(sK57(X0))
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_234,plain,
! [X0: $i] :
( p102(X0)
| r1(X0,sK59(X0))
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_236,plain,
! [X0: $i] :
( p102(X0)
| ~ p101(X0)
| ~ sP1(X0)
| ~ p103(sK59(X0)) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_237,plain,
! [X0: $i] :
( p102(X0)
| p102(sK59(X0))
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_246,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] :
( p7(X14)
| ~ r1(sK62,X0)
| ~ 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,[],[f322]) ).
tcf(c_247,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] :
( sP31(X14)
| ~ r1(sK62,X0)
| ~ 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,[],[f321]) ).
tcf(c_248,negated_conjecture,
~ p101(sK62),
inference(cnf_transformation,[],[f320]) ).
tcf(c_249,negated_conjecture,
p100(sK62),
inference(cnf_transformation,[],[f319]) ).
tcf(c_250,plain,
r1(sK62,sK62),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_267,plain,
( sP0(sK62)
| ~ sP31(sK62) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_406,plain,
( sP31(sK62)
| ~ r1(sK62,sK62) ),
inference(instantiation,[status(thm)],[c_247]) ).
tcf(c_4114,plain,
! [X0: $i] :
( p106(X0)
| ~ p105(X0)
| ~ sP31(X0)
| ~ p7(sK50(X0)) ),
inference(resolution,[status(thm)],[c_59,c_199]) ).
tcf(c_4128,plain,
! [X0: $i] :
( p106(X0)
| r1(X0,sK50(X0))
| ~ p105(X0)
| ~ sP31(X0) ),
inference(resolution,[status(thm)],[c_59,c_198]) ).
tcf(c_4230,plain,
! [X0: $i] :
( p105(X0)
| p105(sK52(X0))
| ~ p104(X0)
| ~ sP31(X0) ),
inference(resolution,[status(thm)],[c_60,c_209]) ).
tcf(c_4244,plain,
! [X0: $i] :
( p105(X0)
| ~ p104(X0)
| ~ sP31(X0)
| ~ p106(sK52(X0)) ),
inference(resolution,[status(thm)],[c_60,c_208]) ).
tcf(c_4272,plain,
! [X0: $i] :
( p105(X0)
| r1(X0,sK52(X0))
| ~ p104(X0)
| ~ sP31(X0) ),
inference(resolution,[status(thm)],[c_60,c_206]) ).
tcf(c_4318,plain,
! [X0: $i] :
( p104(X0)
| p104(sK55(X0))
| ~ p103(X0)
| ~ sP31(X0) ),
inference(resolution,[status(thm)],[c_61,c_221]) ).
tcf(c_4332,plain,
! [X0: $i] :
( p104(X0)
| ~ p103(X0)
| ~ sP31(X0)
| ~ p105(sK55(X0)) ),
inference(resolution,[status(thm)],[c_61,c_220]) ).
tcf(c_4360,plain,
! [X0: $i] :
( p104(X0)
| r1(X0,sK55(X0))
| ~ p103(X0)
| ~ sP31(X0) ),
inference(resolution,[status(thm)],[c_61,c_218]) ).
tcf(c_4462,plain,
! [X0: $i] :
( p103(X0)
| p103(sK57(X0))
| ~ p102(X0)
| ~ sP31(X0) ),
inference(resolution,[status(thm)],[c_62,c_229]) ).
tcf(c_4476,plain,
! [X0: $i] :
( p103(X0)
| ~ p102(X0)
| ~ sP31(X0)
| ~ p104(sK57(X0)) ),
inference(resolution,[status(thm)],[c_62,c_228]) ).
tcf(c_4504,plain,
! [X0: $i] :
( p103(X0)
| r1(X0,sK57(X0))
| ~ p102(X0)
| ~ sP31(X0) ),
inference(resolution,[status(thm)],[c_62,c_226]) ).
tcf(c_4606,plain,
! [X0: $i] :
( p102(X0)
| p102(sK59(X0))
| ~ p101(X0)
| ~ sP31(X0) ),
inference(resolution,[status(thm)],[c_63,c_237]) ).
tcf(c_4619,plain,
! [X0: $i] :
( p102(X0)
| ~ p101(X0)
| ~ sP31(X0)
| ~ p103(sK59(X0)) ),
inference(resolution,[status(thm)],[c_63,c_236]) ).
tcf(c_4645,plain,
! [X0: $i] :
( p102(X0)
| r1(X0,sK59(X0))
| ~ p101(X0)
| ~ sP31(X0) ),
inference(resolution,[status(thm)],[c_63,c_234]) ).
tcf(c_6369,plain,
( p102(sK61(sK62))
| r1(sK61(sK62),sK59(sK61(sK62)))
| ~ p101(sK61(sK62))
| ~ sP31(sK61(sK62)) ),
inference(instantiation,[status(thm)],[c_4645]) ).
tcf(c_6370,plain,
( p102(sK61(sK62))
| ~ p101(sK61(sK62))
| ~ sP31(sK61(sK62))
| ~ p103(sK59(sK61(sK62))) ),
inference(instantiation,[status(thm)],[c_4619]) ).
tcf(c_6413,plain,
( p103(sK59(sK61(sK62)))
| r1(sK59(sK61(sK62)),sK57(sK59(sK61(sK62))))
| ~ p102(sK59(sK61(sK62)))
| ~ sP31(sK59(sK61(sK62))) ),
inference(instantiation,[status(thm)],[c_4504]) ).
tcf(c_6414,plain,
( p103(sK59(sK61(sK62)))
| ~ p102(sK59(sK61(sK62)))
| ~ sP31(sK59(sK61(sK62)))
| ~ p104(sK57(sK59(sK61(sK62)))) ),
inference(instantiation,[status(thm)],[c_4476]) ).
tcf(c_6422,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] :
( sP31(sK61(sK62))
| ~ r1(sK62,X1)
| ~ r1(X13,X0)
| ~ 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,sK61(sK62)) ),
inference(instantiation,[status(thm)],[c_247]) ).
tcf(c_6423,plain,
( sP31(sK61(sK62))
| ~ r1(sK62,sK62)
| ~ r1(sK62,sK61(sK62)) ),
inference(instantiation,[status(thm)],[c_6422]) ).
tcf(c_6543,plain,
( p102(sK61(sK62))
| p102(sK59(sK61(sK62)))
| ~ p101(sK61(sK62))
| ~ sP31(sK61(sK62)) ),
inference(instantiation,[status(thm)],[c_4606]) ).
tcf(c_6958,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] :
( sP31(sK59(sK61(sK62)))
| ~ r1(sK62,X1)
| ~ r1(X13,X0)
| ~ 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,sK59(sK61(sK62))) ),
inference(instantiation,[status(thm)],[c_247]) ).
tcf(c_6976,plain,
( p104(sK57(sK59(sK61(sK62))))
| r1(sK57(sK59(sK61(sK62))),sK55(sK57(sK59(sK61(sK62)))))
| ~ p103(sK57(sK59(sK61(sK62))))
| ~ sP31(sK57(sK59(sK61(sK62)))) ),
inference(instantiation,[status(thm)],[c_4360]) ).
tcf(c_6977,plain,
( p104(sK57(sK59(sK61(sK62))))
| ~ p103(sK57(sK59(sK61(sK62))))
| ~ sP31(sK57(sK59(sK61(sK62))))
| ~ p105(sK55(sK57(sK59(sK61(sK62))))) ),
inference(instantiation,[status(thm)],[c_4332]) ).
tcf(c_7481,plain,
( p103(sK59(sK61(sK62)))
| p103(sK57(sK59(sK61(sK62))))
| ~ p102(sK59(sK61(sK62)))
| ~ sP31(sK59(sK61(sK62))) ),
inference(instantiation,[status(thm)],[c_4462]) ).
tcf(c_7573,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] :
( sP31(sK59(sK61(sK62)))
| ~ r1(sK62,X1)
| ~ r1(X12,X0)
| ~ 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,sK61(sK62))
| ~ r1(sK61(sK62),sK59(sK61(sK62))) ),
inference(instantiation,[status(thm)],[c_6958]) ).
tcf(c_7574,plain,
( sP31(sK59(sK61(sK62)))
| ~ r1(sK62,sK62)
| ~ r1(sK62,sK61(sK62))
| ~ r1(sK61(sK62),sK59(sK61(sK62))) ),
inference(instantiation,[status(thm)],[c_7573]) ).
tcf(c_8483,plain,
( p105(sK55(sK57(sK59(sK61(sK62)))))
| r1(sK55(sK57(sK59(sK61(sK62)))),sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ p104(sK55(sK57(sK59(sK61(sK62)))))
| ~ sP31(sK55(sK57(sK59(sK61(sK62))))) ),
inference(instantiation,[status(thm)],[c_4272]) ).
tcf(c_8485,plain,
( p105(sK55(sK57(sK59(sK61(sK62)))))
| ~ p104(sK55(sK57(sK59(sK61(sK62)))))
| ~ sP31(sK55(sK57(sK59(sK61(sK62)))))
| ~ p106(sK52(sK55(sK57(sK59(sK61(sK62)))))) ),
inference(instantiation,[status(thm)],[c_4244]) ).
tcf(c_8489,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] :
( sP31(sK57(sK59(sK61(sK62))))
| ~ r1(sK62,X1)
| ~ r1(X13,X0)
| ~ 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,sK57(sK59(sK61(sK62)))) ),
inference(instantiation,[status(thm)],[c_247]) ).
tcf(c_9418,plain,
( p104(sK57(sK59(sK61(sK62))))
| p104(sK55(sK57(sK59(sK61(sK62)))))
| ~ p103(sK57(sK59(sK61(sK62))))
| ~ sP31(sK57(sK59(sK61(sK62)))) ),
inference(instantiation,[status(thm)],[c_4318]) ).
tcf(c_9516,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] :
( sP31(sK57(sK59(sK61(sK62))))
| ~ r1(sK62,X1)
| ~ r1(X12,X0)
| ~ 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,sK59(sK61(sK62)))
| ~ r1(sK59(sK61(sK62)),sK57(sK59(sK61(sK62)))) ),
inference(instantiation,[status(thm)],[c_8489]) ).
tcf(c_10422,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] :
( sP31(sK57(sK59(sK61(sK62))))
| ~ r1(sK62,X1)
| ~ r1(X11,X0)
| ~ 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,sK61(sK62))
| ~ r1(sK61(sK62),sK59(sK61(sK62)))
| ~ r1(sK59(sK61(sK62)),sK57(sK59(sK61(sK62)))) ),
inference(instantiation,[status(thm)],[c_9516]) ).
tcf(c_10423,plain,
( sP31(sK57(sK59(sK61(sK62))))
| ~ r1(sK62,sK62)
| ~ r1(sK62,sK61(sK62))
| ~ r1(sK61(sK62),sK59(sK61(sK62)))
| ~ r1(sK59(sK61(sK62)),sK57(sK59(sK61(sK62)))) ),
inference(instantiation,[status(thm)],[c_10422]) ).
tcf(c_13170,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] :
( sP31(sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK62,X1)
| ~ r1(X13,X0)
| ~ 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,sK55(sK57(sK59(sK61(sK62))))) ),
inference(instantiation,[status(thm)],[c_247]) ).
tcf(c_15037,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] :
( sP31(sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK62,X1)
| ~ r1(X12,X0)
| ~ 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,sK57(sK59(sK61(sK62))))
| ~ r1(sK57(sK59(sK61(sK62))),sK55(sK57(sK59(sK61(sK62))))) ),
inference(instantiation,[status(thm)],[c_13170]) ).
tcf(c_15264,plain,
( p105(sK55(sK57(sK59(sK61(sK62)))))
| p105(sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ p104(sK55(sK57(sK59(sK61(sK62)))))
| ~ sP31(sK55(sK57(sK59(sK61(sK62))))) ),
inference(instantiation,[status(thm)],[c_4230]) ).
tcf(c_20595,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] :
( sP31(sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK62,X1)
| ~ r1(X11,X0)
| ~ 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,sK59(sK61(sK62)))
| ~ r1(sK59(sK61(sK62)),sK57(sK59(sK61(sK62))))
| ~ r1(sK57(sK59(sK61(sK62))),sK55(sK57(sK59(sK61(sK62))))) ),
inference(instantiation,[status(thm)],[c_15037]) ).
tcf(c_21728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( sP31(sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK62,X1)
| ~ r1(X10,X0)
| ~ 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,sK61(sK62))
| ~ r1(sK61(sK62),sK59(sK61(sK62)))
| ~ r1(sK59(sK61(sK62)),sK57(sK59(sK61(sK62))))
| ~ r1(sK57(sK59(sK61(sK62))),sK55(sK57(sK59(sK61(sK62))))) ),
inference(instantiation,[status(thm)],[c_20595]) ).
tcf(c_21729,plain,
( sP31(sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK62,sK62)
| ~ r1(sK62,sK61(sK62))
| ~ r1(sK61(sK62),sK59(sK61(sK62)))
| ~ r1(sK59(sK61(sK62)),sK57(sK59(sK61(sK62))))
| ~ r1(sK57(sK59(sK61(sK62))),sK55(sK57(sK59(sK61(sK62))))) ),
inference(instantiation,[status(thm)],[c_21728]) ).
tcf(c_24181,plain,
( p106(sK52(sK55(sK57(sK59(sK61(sK62))))))
| r1(sK52(sK55(sK57(sK59(sK61(sK62))))),sK50(sK52(sK55(sK57(sK59(sK61(sK62)))))))
| ~ p105(sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ sP31(sK52(sK55(sK57(sK59(sK61(sK62)))))) ),
inference(instantiation,[status(thm)],[c_4128]) ).
tcf(c_24184,plain,
( p106(sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ p105(sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ sP31(sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ p7(sK50(sK52(sK55(sK57(sK59(sK61(sK62))))))) ),
inference(instantiation,[status(thm)],[c_4114]) ).
tcf(c_26465,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] :
( sP31(sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ r1(sK62,X1)
| ~ r1(X13,X0)
| ~ 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,sK52(sK55(sK57(sK59(sK61(sK62)))))) ),
inference(instantiation,[status(thm)],[c_247]) ).
tcf(c_29160,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] :
( sP31(sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ r1(sK62,X1)
| ~ r1(X12,X0)
| ~ 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,sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK55(sK57(sK59(sK61(sK62)))),sK52(sK55(sK57(sK59(sK61(sK62)))))) ),
inference(instantiation,[status(thm)],[c_26465]) ).
tcf(c_30209,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] :
( sP31(sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ r1(sK62,X1)
| ~ r1(X11,X0)
| ~ 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,sK57(sK59(sK61(sK62))))
| ~ r1(sK57(sK59(sK61(sK62))),sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK55(sK57(sK59(sK61(sK62)))),sK52(sK55(sK57(sK59(sK61(sK62)))))) ),
inference(instantiation,[status(thm)],[c_29160]) ).
tcf(c_31005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( sP31(sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ r1(sK62,X1)
| ~ r1(X10,X0)
| ~ 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,sK59(sK61(sK62)))
| ~ r1(sK59(sK61(sK62)),sK57(sK59(sK61(sK62))))
| ~ r1(sK57(sK59(sK61(sK62))),sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK55(sK57(sK59(sK61(sK62)))),sK52(sK55(sK57(sK59(sK61(sK62)))))) ),
inference(instantiation,[status(thm)],[c_30209]) ).
tcf(c_33053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP31(sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ r1(sK62,X1)
| ~ r1(X9,X0)
| ~ 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,sK61(sK62))
| ~ r1(sK61(sK62),sK59(sK61(sK62)))
| ~ r1(sK59(sK61(sK62)),sK57(sK59(sK61(sK62))))
| ~ r1(sK57(sK59(sK61(sK62))),sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK55(sK57(sK59(sK61(sK62)))),sK52(sK55(sK57(sK59(sK61(sK62)))))) ),
inference(instantiation,[status(thm)],[c_31005]) ).
tcf(c_33054,plain,
( sP31(sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ r1(sK62,sK62)
| ~ r1(sK62,sK61(sK62))
| ~ r1(sK61(sK62),sK59(sK61(sK62)))
| ~ r1(sK59(sK61(sK62)),sK57(sK59(sK61(sK62))))
| ~ r1(sK57(sK59(sK61(sK62))),sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK55(sK57(sK59(sK61(sK62)))),sK52(sK55(sK57(sK59(sK61(sK62)))))) ),
inference(instantiation,[status(thm)],[c_33053]) ).
tcf(c_34175,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] :
( p7(sK50(sK52(sK55(sK57(sK59(sK61(sK62)))))))
| ~ r1(sK62,X1)
| ~ r1(X13,X0)
| ~ 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,sK50(sK52(sK55(sK57(sK59(sK61(sK62))))))) ),
inference(instantiation,[status(thm)],[c_246]) ).
tcf(c_36900,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] :
( p7(sK50(sK52(sK55(sK57(sK59(sK61(sK62)))))))
| ~ r1(sK62,X1)
| ~ r1(X12,X0)
| ~ 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,sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ r1(sK52(sK55(sK57(sK59(sK61(sK62))))),sK50(sK52(sK55(sK57(sK59(sK61(sK62))))))) ),
inference(instantiation,[status(thm)],[c_34175]) ).
tcf(c_40597,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] :
( p7(sK50(sK52(sK55(sK57(sK59(sK61(sK62)))))))
| ~ r1(sK62,X1)
| ~ r1(X11,X0)
| ~ 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,sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK55(sK57(sK59(sK61(sK62)))),sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ r1(sK52(sK55(sK57(sK59(sK61(sK62))))),sK50(sK52(sK55(sK57(sK59(sK61(sK62))))))) ),
inference(instantiation,[status(thm)],[c_36900]) ).
tcf(c_43144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( p7(sK50(sK52(sK55(sK57(sK59(sK61(sK62)))))))
| ~ r1(sK62,X1)
| ~ r1(X10,X0)
| ~ 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,sK57(sK59(sK61(sK62))))
| ~ r1(sK57(sK59(sK61(sK62))),sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK55(sK57(sK59(sK61(sK62)))),sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ r1(sK52(sK55(sK57(sK59(sK61(sK62))))),sK50(sK52(sK55(sK57(sK59(sK61(sK62))))))) ),
inference(instantiation,[status(thm)],[c_40597]) ).
tcf(c_46200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( p7(sK50(sK52(sK55(sK57(sK59(sK61(sK62)))))))
| ~ r1(sK62,X1)
| ~ r1(X9,X0)
| ~ 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,sK59(sK61(sK62)))
| ~ r1(sK59(sK61(sK62)),sK57(sK59(sK61(sK62))))
| ~ r1(sK57(sK59(sK61(sK62))),sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK55(sK57(sK59(sK61(sK62)))),sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ r1(sK52(sK55(sK57(sK59(sK61(sK62))))),sK50(sK52(sK55(sK57(sK59(sK61(sK62))))))) ),
inference(instantiation,[status(thm)],[c_43144]) ).
tcf(c_48940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( p7(sK50(sK52(sK55(sK57(sK59(sK61(sK62)))))))
| ~ r1(sK62,X1)
| ~ r1(X8,X0)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,sK61(sK62))
| ~ r1(sK61(sK62),sK59(sK61(sK62)))
| ~ r1(sK59(sK61(sK62)),sK57(sK59(sK61(sK62))))
| ~ r1(sK57(sK59(sK61(sK62))),sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK55(sK57(sK59(sK61(sK62)))),sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ r1(sK52(sK55(sK57(sK59(sK61(sK62))))),sK50(sK52(sK55(sK57(sK59(sK61(sK62))))))) ),
inference(instantiation,[status(thm)],[c_46200]) ).
tcf(c_48941,plain,
( p7(sK50(sK52(sK55(sK57(sK59(sK61(sK62)))))))
| ~ r1(sK62,sK62)
| ~ r1(sK62,sK61(sK62))
| ~ r1(sK61(sK62),sK59(sK61(sK62)))
| ~ r1(sK59(sK61(sK62)),sK57(sK59(sK61(sK62))))
| ~ r1(sK57(sK59(sK61(sK62))),sK55(sK57(sK59(sK61(sK62)))))
| ~ r1(sK55(sK57(sK59(sK61(sK62)))),sK52(sK55(sK57(sK59(sK61(sK62))))))
| ~ r1(sK52(sK55(sK57(sK59(sK61(sK62))))),sK50(sK52(sK55(sK57(sK59(sK61(sK62))))))) ),
inference(instantiation,[status(thm)],[c_48940]) ).
fof(f9,definition,
! [X30] :
( ~ sP0(X30)
| ~ p100(X30)
| p101(X30)
| ( ? [X60] :
( p101(X60)
& ~ p102(X60)
& p2(X60)
& r1(X30,X60) )
& ? [X59] :
( p101(X59)
& ~ p102(X59)
& ~ p2(X59)
& r1(X30,X59) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X30] :
( ~ sP1(X30)
| ~ p101(X30)
| p102(X30)
| ( ? [X58] :
( p102(X58)
& ~ p103(X58)
& p3(X58)
& r1(X30,X58) )
& ? [X57] :
( p102(X57)
& ~ p103(X57)
& ~ p3(X57)
& r1(X30,X57) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X30] :
( ~ sP2(X30)
| ~ p102(X30)
| p103(X30)
| ( ? [X56] :
( p103(X56)
& ~ p104(X56)
& p4(X56)
& r1(X30,X56) )
& ? [X55] :
( p103(X55)
& ~ p104(X55)
& ~ p4(X55)
& r1(X30,X55) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X30] :
( ~ sP3(X30)
| ~ p103(X30)
| p104(X30)
| ( ? [X54] :
( p104(X54)
& ~ p105(X54)
& p5(X54)
& r1(X30,X54) )
& ? [X53] :
( p104(X53)
& ~ p105(X53)
& ~ p5(X53)
& r1(X30,X53) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X30] :
( ~ sP4(X30)
| ~ p104(X30)
| p105(X30)
| ( ? [X52] :
( p105(X52)
& ~ p106(X52)
& p6(X52)
& r1(X30,X52) )
& ? [X51] :
( p105(X51)
& ~ p106(X51)
& ~ p6(X51)
& r1(X30,X51) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X30] :
( ~ sP5(X30)
| ~ p105(X30)
| p106(X30)
| ( ? [X50] :
( p106(X50)
& ~ p107(X50)
& p7(X50)
& r1(X30,X50) )
& ? [X49] :
( p106(X49)
& ~ p107(X49)
& ~ p7(X49)
& r1(X30,X49) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X30] :
( ~ sP6(X30)
| ~ p106(X30)
| p107(X30)
| ( ? [X48] :
( p107(X48)
& ~ p108(X48)
& p8(X48)
& r1(X30,X48) )
& ? [X47] :
( p107(X47)
& ~ p108(X47)
& ~ p8(X47)
& r1(X30,X47) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X30] :
( ~ sP7(X30)
| ~ p107(X30)
| p108(X30)
| ( ? [X46] :
( p108(X46)
& ~ p109(X46)
& p9(X46)
& r1(X30,X46) )
& ? [X45] :
( p108(X45)
& ~ p109(X45)
& ~ p9(X45)
& r1(X30,X45) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X30] :
( ~ sP8(X30)
| ~ p108(X30)
| p109(X30)
| ( ? [X44] :
( p109(X44)
& ~ p110(X44)
& p10(X44)
& r1(X30,X44) )
& ? [X43] :
( p109(X43)
& ~ p110(X43)
& ~ p10(X43)
& r1(X30,X43) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X30] :
( ~ sP9(X30)
| ~ p109(X30)
| p110(X30)
| ( ? [X42] :
( p110(X42)
& ~ p111(X42)
& p11(X42)
& r1(X30,X42) )
& ? [X41] :
( p110(X41)
& ~ p111(X41)
& ~ p11(X41)
& r1(X30,X41) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X30] :
( ~ sP10(X30)
| ~ p110(X30)
| p111(X30)
| ( ? [X40] :
( p111(X40)
& ~ p112(X40)
& p12(X40)
& r1(X30,X40) )
& ? [X39] :
( p111(X39)
& ~ p112(X39)
& ~ p12(X39)
& r1(X30,X39) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X30] :
( ~ sP11(X30)
| ~ p111(X30)
| p112(X30)
| ( ? [X38] :
( p112(X38)
& ~ p113(X38)
& p13(X38)
& r1(X30,X38) )
& ? [X37] :
( p112(X37)
& ~ p113(X37)
& ~ p13(X37)
& r1(X30,X37) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f21,definition,
! [X30] :
( ~ sP12(X30)
| ~ p112(X30)
| p113(X30)
| ( ? [X36] :
( p113(X36)
& ~ p114(X36)
& p14(X36)
& r1(X30,X36) )
& ? [X35] :
( p113(X35)
& ~ p114(X35)
& ~ p14(X35)
& r1(X30,X35) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f22,definition,
! [X30] :
( ~ sP13(X30)
| ~ p113(X30)
| p114(X30)
| ( ? [X34] :
( p114(X34)
& ~ p115(X34)
& p15(X34)
& r1(X30,X34) )
& ? [X33] :
( p114(X33)
& ~ p115(X33)
& ~ p15(X33)
& r1(X30,X33) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X30] :
( ~ sP14(X30)
| ~ p114(X30)
| p115(X30)
| ( ? [X32] :
( p115(X32)
& p16(X32)
& r1(X30,X32) )
& ? [X31] :
( p115(X31)
& ~ p16(X31)
& r1(X30,X31) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f24,definition,
! [X30] :
( ~ sP15(X30)
| ~ p100(X30)
| ( ( ~ p1(X30)
| ! [X92] :
( ~ p100(X92)
| p1(X92)
| ~ r1(X30,X92) ) )
& ( p1(X30)
| ! [X91] :
( ~ p100(X91)
| ~ p1(X91)
| ~ r1(X30,X91) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f25,definition,
! [X30] :
( ~ sP16(X30)
| ~ p101(X30)
| ( ( ~ p2(X30)
| ! [X90] :
( ~ p101(X90)
| p2(X90)
| ~ r1(X30,X90) ) )
& ( p2(X30)
| ! [X89] :
( ~ p101(X89)
| ~ p2(X89)
| ~ r1(X30,X89) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f26,definition,
! [X30] :
( ~ sP17(X30)
| ~ p102(X30)
| ( ( ~ p3(X30)
| ! [X88] :
( ~ p102(X88)
| p3(X88)
| ~ r1(X30,X88) ) )
& ( p3(X30)
| ! [X87] :
( ~ p102(X87)
| ~ p3(X87)
| ~ r1(X30,X87) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f27,definition,
! [X30] :
( ~ sP18(X30)
| ~ p103(X30)
| ( ( ~ p4(X30)
| ! [X86] :
( ~ p103(X86)
| p4(X86)
| ~ r1(X30,X86) ) )
& ( p4(X30)
| ! [X85] :
( ~ p103(X85)
| ~ p4(X85)
| ~ r1(X30,X85) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f28,definition,
! [X30] :
( ~ sP19(X30)
| ~ p104(X30)
| ( ( ~ p5(X30)
| ! [X84] :
( ~ p104(X84)
| p5(X84)
| ~ r1(X30,X84) ) )
& ( p5(X30)
| ! [X83] :
( ~ p104(X83)
| ~ p5(X83)
| ~ r1(X30,X83) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f29,definition,
! [X30] :
( ~ sP20(X30)
| ~ p105(X30)
| ( ( ~ p6(X30)
| ! [X82] :
( ~ p105(X82)
| p6(X82)
| ~ r1(X30,X82) ) )
& ( p6(X30)
| ! [X81] :
( ~ p105(X81)
| ~ p6(X81)
| ~ r1(X30,X81) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f30,definition,
! [X30] :
( ~ sP21(X30)
| ~ p106(X30)
| ( ( ~ p7(X30)
| ! [X80] :
( ~ p106(X80)
| p7(X80)
| ~ r1(X30,X80) ) )
& ( p7(X30)
| ! [X79] :
( ~ p106(X79)
| ~ p7(X79)
| ~ r1(X30,X79) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f31,definition,
! [X30] :
( ~ sP22(X30)
| ~ p107(X30)
| ( ( ~ p8(X30)
| ! [X78] :
( ~ p107(X78)
| p8(X78)
| ~ r1(X30,X78) ) )
& ( p8(X30)
| ! [X77] :
( ~ p107(X77)
| ~ p8(X77)
| ~ r1(X30,X77) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f32,definition,
! [X30] :
( ~ sP23(X30)
| ~ p108(X30)
| ( ( ~ p9(X30)
| ! [X76] :
( ~ p108(X76)
| p9(X76)
| ~ r1(X30,X76) ) )
& ( p9(X30)
| ! [X75] :
( ~ p108(X75)
| ~ p9(X75)
| ~ r1(X30,X75) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f33,definition,
! [X30] :
( ~ sP24(X30)
| ~ p109(X30)
| ( ( ~ p10(X30)
| ! [X74] :
( ~ p109(X74)
| p10(X74)
| ~ r1(X30,X74) ) )
& ( p10(X30)
| ! [X73] :
( ~ p109(X73)
| ~ p10(X73)
| ~ r1(X30,X73) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f34,definition,
! [X30] :
( ~ sP25(X30)
| ~ p110(X30)
| ( ( ~ p11(X30)
| ! [X72] :
( ~ p110(X72)
| p11(X72)
| ~ r1(X30,X72) ) )
& ( p11(X30)
| ! [X71] :
( ~ p110(X71)
| ~ p11(X71)
| ~ r1(X30,X71) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f35,definition,
! [X30] :
( ~ sP26(X30)
| ~ p111(X30)
| ( ( ~ p12(X30)
| ! [X70] :
( ~ p111(X70)
| p12(X70)
| ~ r1(X30,X70) ) )
& ( p12(X30)
| ! [X69] :
( ~ p111(X69)
| ~ p12(X69)
| ~ r1(X30,X69) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f36,definition,
! [X30] :
( ~ sP27(X30)
| ~ p112(X30)
| ( ( ~ p13(X30)
| ! [X68] :
( ~ p112(X68)
| p13(X68)
| ~ r1(X30,X68) ) )
& ( p13(X30)
| ! [X67] :
( ~ p112(X67)
| ~ p13(X67)
| ~ r1(X30,X67) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f37,definition,
! [X30] :
( ~ sP28(X30)
| ~ p113(X30)
| ( ( ~ p14(X30)
| ! [X66] :
( ~ p113(X66)
| p14(X66)
| ~ r1(X30,X66) ) )
& ( p14(X30)
| ! [X65] :
( ~ p113(X65)
| ~ p14(X65)
| ~ r1(X30,X65) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f38,definition,
! [X30] :
( ~ sP29(X30)
| ~ p114(X30)
| ( ( ~ p15(X30)
| ! [X64] :
( ~ p114(X64)
| p15(X64)
| ~ r1(X30,X64) ) )
& ( p15(X30)
| ! [X63] :
( ~ p114(X63)
| ~ p15(X63)
| ~ r1(X30,X63) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f39,definition,
! [X30] :
( ~ sP30(X30)
| ~ p115(X30)
| ( ( ~ p16(X30)
| ! [X62] :
( ~ p115(X62)
| p16(X62)
| ~ r1(X30,X62) ) )
& ( p16(X30)
| ! [X61] :
( ~ p115(X61)
| ~ p16(X61)
| ~ r1(X30,X61) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f40,definition,
! [X30] :
( ~ sP31(X30)
| ( ( ~ p101(X30)
| p100(X30) )
& ( ~ p102(X30)
| p101(X30) )
& ( ~ p103(X30)
| p102(X30) )
& ( ~ p104(X30)
| p103(X30) )
& ( ~ p105(X30)
| p104(X30) )
& ( ~ p106(X30)
| p105(X30) )
& ( ~ p107(X30)
| p106(X30) )
& ( ~ p108(X30)
| p107(X30) )
& ( ~ p109(X30)
| p108(X30) )
& ( ~ p110(X30)
| p109(X30) )
& ( ~ p111(X30)
| p110(X30) )
& ( ~ p112(X30)
| p111(X30) )
& ( ~ p113(X30)
| p112(X30) )
& ( ~ p114(X30)
| p113(X30) )
& ( ~ p115(X30)
| p114(X30) )
& sP15(X30)
& sP16(X30)
& sP17(X30)
& sP18(X30)
& sP19(X30)
& sP20(X30)
& sP21(X30)
& sP22(X30)
& sP23(X30)
& sP24(X30)
& sP25(X30)
& sP26(X30)
& sP27(X30)
& sP28(X30)
& sP29(X30)
& sP30(X30)
& sP0(X30)
& sP1(X30)
& sP2(X30)
& sP3(X30)
& sP4(X30)
& sP5(X30)
& sP6(X30)
& sP7(X30)
& sP8(X30)
& sP9(X30)
& sP10(X30)
& sP11(X30)
& sP12(X30)
& sP13(X30)
& sP14(X30) ) ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f41,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( sP31(X30)
| ~ 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(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( p7(X15)
| ~ 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,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(f118,plain,
! [X30] :
( ~ sP0(X30)
| ~ p100(X30)
| p101(X30)
| ( ? [X60] :
( p101(X60)
& ~ p102(X60)
& p2(X60)
& r1(X30,X60) )
& ? [X59] :
( p101(X59)
& ~ p102(X59)
& ~ p2(X59)
& r1(X30,X59) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f119,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,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ~ sP0(X0)
| ~ p100(X0)
| p101(X0)
| ( p101(sK61(X0))
& ~ p102(sK61(X0))
& p2(sK61(X0))
& r1(X0,sK61(X0))
& p101(sK60(X0))
& ~ p102(sK60(X0))
& ~ p2(sK60(X0))
& r1(X0,sK60(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60,sK61]),skolemize(X1,sK60(X0)),skolemize(X2,sK61(X0))],[f119]) ).
fof(f311,plain,
! [X0] :
( ~ sP0(X0)
| ~ p100(X0)
| p101(X0)
| p101(sK61(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f312,plain,
! [X0] :
( ~ sP0(X0)
| ~ p100(X0)
| p101(X0)
| ~ p102(sK61(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f314,plain,
! [X0] :
( ~ sP0(X0)
| ~ p100(X0)
| p101(X0)
| r1(X0,sK61(X0)) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_242,plain,
! [X0: $i] :
( p101(X0)
| r1(X0,sK61(X0))
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_244,plain,
! [X0: $i] :
( p101(X0)
| ~ p100(X0)
| ~ sP0(X0)
| ~ p102(sK61(X0)) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_245,plain,
! [X0: $i] :
( p101(X0)
| p101(sK61(X0))
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_296,plain,
( p101(sK62)
| p101(sK61(sK62))
| ~ p100(sK62)
| ~ sP0(sK62) ),
inference(instantiation,[status(thm)],[c_245]) ).
tcf(c_338,plain,
( p101(sK62)
| ~ p100(sK62)
| ~ sP0(sK62)
| ~ p102(sK61(sK62)) ),
inference(instantiation,[status(thm)],[c_244]) ).
tcf(c_339,plain,
( p101(sK62)
| r1(sK62,sK61(sK62))
| ~ p100(sK62)
| ~ sP0(sK62) ),
inference(instantiation,[status(thm)],[c_242]) ).
tcf(c_48942,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_48941,c_33054,c_24181,c_24184,c_21729,c_15264,c_10423,c_9418,c_8483,c_8485,c_7574,c_7481,c_6976,c_6977,c_6543,c_6423,c_6413,c_6414,c_6369,c_6370,c_406,c_339,c_338,c_296,c_267,c_250,c_248,c_249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL656+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 00:06:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 22.41/4.30 % SZS status Started for theBenchmark.p
% 22.41/4.30 % SZS status Theorem for theBenchmark.p
% 22.41/4.30
% 22.41/4.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.41/4.30
% 22.41/4.30 % ------ iProver source info
% 22.41/4.30
% 22.41/4.30 % git: date: 2026-07-19 20:42:38 +0200
% 22.41/4.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.41/4.30 % git: non_committed_changes: false
% 22.41/4.30
% 22.41/4.30 % ------ Parsing...
% 22.41/4.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 22.41/4.30
% 22.41/4.30 % ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 22.41/4.30
% 22.41/4.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 22.41/4.30 % ------ Proving...
% 22.41/4.30 % ------ Problem Properties
% 22.41/4.30
% 22.41/4.30 %
% 22.41/4.30 % clauses 166
% 22.41/4.30 % conjectures 3
% 22.41/4.30 % EPR 48
% 22.41/4.30 % Horn 96
% 22.41/4.30 % unary 10
% 22.41/4.30 % binary 0
% 22.41/4.30 % lits 704
% 22.41/4.30 % lits eq 0
% 22.41/4.30 % fd_pure 0
% 22.41/4.30 % fd_pseudo 0
% 22.41/4.30 % fd_cond 0
% 22.41/4.30 % fd_pseudo_cond 0
% 22.41/4.30 % AC symbols 0
% 22.41/4.30
% 22.41/4.30 % ------ Input Options Time Limit: Unbounded
% 22.41/4.30
% 22.41/4.30
% 22.41/4.30 % ------
% 22.41/4.30 % Current options:
% 22.41/4.30 % ------
% 22.41/4.30
% 22.41/4.30
% 22.41/4.30 %
% 22.41/4.30
% 22.41/4.30 % ------ Proving...
% 22.41/4.30 %
% 22.41/4.30
% 22.41/4.30 % SZS status Theorem for theBenchmark.p
% 22.41/4.30
% 22.41/4.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.41/4.30
% 22.41/4.30
%------------------------------------------------------------------------------