TSTP Solution File: LCL650+1.005 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL650+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 07:46:37 EDT 2023
% Result : Theorem 28.85s 4.70s
% Output : CNFRefutation 28.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 61
% Syntax : Number of formulae : 738 ( 34 unt; 0 def)
% Number of atoms : 6272 ( 0 equ)
% Maximal formula atoms : 289 ( 8 avg)
% Number of connectives : 10143 (4609 ~;4120 |;1366 &)
% ( 0 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 88 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 234 ( 233 usr; 1 prp; 0-2 aty)
% Number of functors : 48 ( 48 usr; 34 con; 0-1 aty)
% Number of variables : 4006 ( 0 sgn;2366 !; 761 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( p1(X0)
& p2(X0)
& p3(X0)
& p4(X0)
& p5(X0)
& p6(X0)
& p7(X0)
& p8(X0)
& p9(X0)
& p10(X0)
& p11(X0)
& p12(X0)
& p13(X0)
& p14(X0)
& p15(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] :
( ~ ~ ! [X0] :
( ~ ( ( p1(X0)
& p2(X0) )
| ( ~ p2(X0)
& ~ p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ~ ( ( p2(X0)
& p3(X0) )
| ( ~ p3(X0)
& ~ p2(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p3(X0)
& p4(X0) )
| ( ~ p4(X0)
& ~ p3(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( p5(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p4(X0)
& p5(X0) )
| ( ~ p5(X0)
& ~ p4(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( p6(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p5(X0)
& p6(X0) )
| ( ~ p6(X0)
& ~ p5(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( p7(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p6(X0)
& p7(X0) )
| ( ~ p7(X0)
& ~ p6(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( p8(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p7(X0)
& p8(X0) )
| ( ~ p8(X0)
& ~ p7(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) )
| ! [X1] :
( p9(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p8(X0)
& p9(X0) )
| ( ~ p9(X0)
& ~ p8(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( p10(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p9(X0)
& p10(X0) )
| ( ~ p10(X0)
& ~ p9(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) )
| ! [X1] :
( p11(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p10(X0)
& p11(X0) )
| ( ~ p11(X0)
& ~ p10(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) )
| ! [X0] :
( p12(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p11(X0)
& p12(X0) )
| ( ~ p12(X0)
& ~ p11(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) )
| ! [X1] :
( p13(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p12(X0)
& p13(X0) )
| ( ~ p13(X0)
& ~ p12(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) )
| ! [X0] :
( p14(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p13(X0)
& p14(X0) )
| ( ~ p14(X0)
& ~ p13(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) )
| ! [X1] :
( p15(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p14(X0)
& p15(X0) )
| ( ~ p15(X0)
& ~ p14(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) )
| ! [X0] :
( p16(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p15(X0)
& p1(X0) )
| ( ~ p1(X0)
& ~ p15(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] :
( p17(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ~ p2(X0)
& ~ p4(X0)
& ~ p6(X0)
& ~ p8(X0)
& ~ p10(X0)
& ~ p12(X0)
& ~ p14(X0)
& ~ p16(X0)
& ~ p18(X0)
& ~ p20(X0)
& ~ p22(X0)
& ~ p24(X0)
& ~ p26(X0)
& ~ p28(X0)
& ~ p30(X0)
& ~ p32(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) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( p1(X0)
& p2(X0)
& p3(X0)
& p4(X0)
& p5(X0)
& p6(X0)
& p7(X0)
& p8(X0)
& p9(X0)
& p10(X0)
& p11(X0)
& p12(X0)
& p13(X0)
& p14(X0)
& p15(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] :
( ~ ~ ! [X0] :
( ~ ( ( p1(X0)
& p2(X0) )
| ( ~ p2(X0)
& ~ p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ~ ( ( p2(X0)
& p3(X0) )
| ( ~ p3(X0)
& ~ p2(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p3(X0)
& p4(X0) )
| ( ~ p4(X0)
& ~ p3(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( p5(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p4(X0)
& p5(X0) )
| ( ~ p5(X0)
& ~ p4(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( p6(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p5(X0)
& p6(X0) )
| ( ~ p6(X0)
& ~ p5(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( p7(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p6(X0)
& p7(X0) )
| ( ~ p7(X0)
& ~ p6(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( p8(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p7(X0)
& p8(X0) )
| ( ~ p8(X0)
& ~ p7(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) )
| ! [X1] :
( p9(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p8(X0)
& p9(X0) )
| ( ~ p9(X0)
& ~ p8(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( p10(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p9(X0)
& p10(X0) )
| ( ~ p10(X0)
& ~ p9(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) )
| ! [X1] :
( p11(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p10(X0)
& p11(X0) )
| ( ~ p11(X0)
& ~ p10(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) )
| ! [X0] :
( p12(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p11(X0)
& p12(X0) )
| ( ~ p12(X0)
& ~ p11(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) )
| ! [X1] :
( p13(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p12(X0)
& p13(X0) )
| ( ~ p13(X0)
& ~ p12(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) )
| ! [X0] :
( p14(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p13(X0)
& p14(X0) )
| ( ~ p14(X0)
& ~ p13(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) )
| ! [X1] :
( p15(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p14(X0)
& p15(X0) )
| ( ~ p15(X0)
& ~ p14(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) )
| ! [X0] :
( p16(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p15(X0)
& p1(X0) )
| ( ~ p1(X0)
& ~ p15(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] :
( p17(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ~ p2(X0)
& ~ p4(X0)
& ~ p6(X0)
& ~ p8(X0)
& ~ p10(X0)
& ~ p12(X0)
& ~ p14(X0)
& ~ p16(X0)
& ~ p18(X0)
& ~ p20(X0)
& ~ p22(X0)
& ~ p24(X0)
& ~ p26(X0)
& ~ p28(X0)
& ~ p30(X0)
& ~ p32(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) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ( p1(X16)
& p2(X16)
& p3(X16)
& p4(X16)
& p5(X16)
& p6(X16)
& p7(X16)
& p8(X16)
& p9(X16)
& p10(X16)
& p11(X16)
& p12(X16)
& p13(X16)
& p14(X16)
& p15(X16)
& p16(X16) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ( ~ ! [X20] :
( ~ ( ~ ! [X21] :
( ~ ( ~ ! [X22] :
( ~ ( ~ ! [X23] :
( ~ ( ~ ! [X24] :
( ~ ( ~ ! [X25] :
( ~ ( ~ ! [X26] :
( ~ ( ~ ! [X27] :
( ~ ( ~ ! [X28] :
( ~ ( ~ ! [X29] :
( ~ ( ~ ! [X30] :
( ~ ( ~ ! [X31] :
( ~ ~ ! [X32] :
( ~ ( ( p1(X32)
& p2(X32) )
| ( ~ p2(X32)
& ~ p1(X32) ) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ! [X33] :
( p3(X33)
| ~ r1(X30,X33) )
| ~ ! [X34] :
( ! [X35] :
( ~ ( ( p2(X35)
& p3(X35) )
| ( ~ p3(X35)
& ~ p2(X35) ) )
| ~ r1(X34,X35) )
| ~ r1(X30,X34) ) )
| ~ r1(X29,X30) )
| ! [X36] :
( p4(X36)
| ~ r1(X29,X36) )
| ~ ! [X37] :
( ! [X38] :
( ! [X39] :
( ~ ( ( p3(X39)
& p4(X39) )
| ( ~ p4(X39)
& ~ p3(X39) ) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X29,X37) ) )
| ~ r1(X28,X29) )
| ! [X40] :
( p5(X40)
| ~ r1(X28,X40) )
| ~ ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ~ ( ( p4(X44)
& p5(X44) )
| ( ~ p5(X44)
& ~ p4(X44) ) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X28,X41) ) )
| ~ r1(X27,X28) )
| ! [X45] :
( p6(X45)
| ~ r1(X27,X45) )
| ~ ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ! [X50] :
( ~ ( ( p5(X50)
& p6(X50) )
| ( ~ p6(X50)
& ~ p5(X50) ) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X27,X46) ) )
| ~ r1(X26,X27) )
| ! [X51] :
( p7(X51)
| ~ r1(X26,X51) )
| ~ ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ~ ( ( p6(X57)
& p7(X57) )
| ( ~ p7(X57)
& ~ p6(X57) ) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X26,X52) ) )
| ~ r1(X25,X26) )
| ! [X58] :
( p8(X58)
| ~ r1(X25,X58) )
| ~ ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ! [X65] :
( ~ ( ( p7(X65)
& p8(X65) )
| ( ~ p8(X65)
& ~ p7(X65) ) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X25,X59) ) )
| ~ r1(X24,X25) )
| ! [X66] :
( p9(X66)
| ~ r1(X24,X66) )
| ~ ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ~ ( ( p8(X74)
& p9(X74) )
| ( ~ p9(X74)
& ~ p8(X74) ) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X24,X67) ) )
| ~ r1(X23,X24) )
| ! [X75] :
( p10(X75)
| ~ r1(X23,X75) )
| ~ ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ~ ( ( p9(X84)
& p10(X84) )
| ( ~ p10(X84)
& ~ p9(X84) ) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X23,X76) ) )
| ~ r1(X22,X23) )
| ! [X85] :
( p11(X85)
| ~ r1(X22,X85) )
| ~ ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ~ ( ( p10(X95)
& p11(X95) )
| ( ~ p11(X95)
& ~ p10(X95) ) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X22,X86) ) )
| ~ r1(X21,X22) )
| ! [X96] :
( p12(X96)
| ~ r1(X21,X96) )
| ~ ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ~ ( ( p11(X107)
& p12(X107) )
| ( ~ p12(X107)
& ~ p11(X107) ) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X21,X97) ) )
| ~ r1(X20,X21) )
| ! [X108] :
( p13(X108)
| ~ r1(X20,X108) )
| ~ ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ~ ( ( p12(X120)
& p13(X120) )
| ( ~ p13(X120)
& ~ p12(X120) ) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X20,X109) ) )
| ~ r1(X19,X20) )
| ! [X121] :
( p14(X121)
| ~ r1(X19,X121) )
| ~ ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ! [X134] :
( ~ ( ( p13(X134)
& p14(X134) )
| ( ~ p14(X134)
& ~ p13(X134) ) )
| ~ r1(X133,X134) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X19,X122) ) )
| ~ r1(X18,X19) )
| ! [X135] :
( p15(X135)
| ~ r1(X18,X135) )
| ~ ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ! [X149] :
( ~ ( ( p14(X149)
& p15(X149) )
| ( ~ p15(X149)
& ~ p14(X149) ) )
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X18,X136) ) )
| ~ r1(X17,X18) )
| ! [X150] :
( p16(X150)
| ~ r1(X17,X150) )
| ~ ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ! [X155] :
( ! [X156] :
( ! [X157] :
( ! [X158] :
( ! [X159] :
( ! [X160] :
( ! [X161] :
( ! [X162] :
( ! [X163] :
( ! [X164] :
( ! [X165] :
( ~ ( ( p15(X165)
& p1(X165) )
| ( ~ p1(X165)
& ~ p15(X165) ) )
| ~ r1(X164,X165) )
| ~ r1(X163,X164) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) )
| ~ r1(X160,X161) )
| ~ r1(X159,X160) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
| ~ r1(X154,X155) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X17,X151) ) )
| ~ r1(X0,X17) )
| ! [X166] :
( p17(X166)
| ~ r1(X0,X166) )
| ! [X167] :
( ! [X168] :
( ! [X169] :
( ! [X170] :
( ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] :
( ! [X175] :
( ! [X176] :
( ! [X177] :
( ! [X178] :
( ! [X179] :
( ! [X180] :
( ! [X181] :
( ! [X182] :
( ( ~ p2(X182)
& ~ p4(X182)
& ~ p6(X182)
& ~ p8(X182)
& ~ p10(X182)
& ~ p12(X182)
& ~ p14(X182)
& ~ p16(X182)
& ~ p18(X182)
& ~ p20(X182)
& ~ p22(X182)
& ~ p24(X182)
& ~ p26(X182)
& ~ p28(X182)
& ~ p30(X182)
& ~ p32(X182) )
| ~ r1(X181,X182) )
| ~ r1(X180,X181) )
| ~ r1(X179,X180) )
| ~ r1(X178,X179) )
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
| ~ r1(X175,X176) )
| ~ r1(X174,X175) )
| ~ r1(X173,X174) )
| ~ r1(X172,X173) )
| ~ r1(X171,X172) )
| ~ r1(X170,X171) )
| ~ r1(X169,X170) )
| ~ r1(X168,X169) )
| ~ r1(X167,X168) )
| ~ r1(X0,X167) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ( p1(X16)
& p2(X16)
& p3(X16)
& p4(X16)
& p5(X16)
& p6(X16)
& p7(X16)
& p8(X16)
& p9(X16)
& p10(X16)
& p11(X16)
& p12(X16)
& p13(X16)
& p14(X16)
& p15(X16)
& p16(X16) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ( ~ ! [X20] :
( ~ ( ~ ! [X21] :
( ~ ( ~ ! [X22] :
( ~ ( ~ ! [X23] :
( ~ ( ~ ! [X24] :
( ~ ( ~ ! [X25] :
( ~ ( ~ ! [X26] :
( ~ ( ~ ! [X27] :
( ~ ( ~ ! [X28] :
( ~ ( ~ ! [X29] :
( ~ ( ~ ! [X30] :
( ~ ( ~ ! [X31] :
( ! [X32] :
( ~ ( ( p1(X32)
& p2(X32) )
| ( ~ p2(X32)
& ~ p1(X32) ) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ! [X33] :
( p3(X33)
| ~ r1(X30,X33) )
| ~ ! [X34] :
( ! [X35] :
( ~ ( ( p2(X35)
& p3(X35) )
| ( ~ p3(X35)
& ~ p2(X35) ) )
| ~ r1(X34,X35) )
| ~ r1(X30,X34) ) )
| ~ r1(X29,X30) )
| ! [X36] :
( p4(X36)
| ~ r1(X29,X36) )
| ~ ! [X37] :
( ! [X38] :
( ! [X39] :
( ~ ( ( p3(X39)
& p4(X39) )
| ( ~ p4(X39)
& ~ p3(X39) ) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X29,X37) ) )
| ~ r1(X28,X29) )
| ! [X40] :
( p5(X40)
| ~ r1(X28,X40) )
| ~ ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ~ ( ( p4(X44)
& p5(X44) )
| ( ~ p5(X44)
& ~ p4(X44) ) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X28,X41) ) )
| ~ r1(X27,X28) )
| ! [X45] :
( p6(X45)
| ~ r1(X27,X45) )
| ~ ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ! [X50] :
( ~ ( ( p5(X50)
& p6(X50) )
| ( ~ p6(X50)
& ~ p5(X50) ) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X27,X46) ) )
| ~ r1(X26,X27) )
| ! [X51] :
( p7(X51)
| ~ r1(X26,X51) )
| ~ ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ~ ( ( p6(X57)
& p7(X57) )
| ( ~ p7(X57)
& ~ p6(X57) ) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X26,X52) ) )
| ~ r1(X25,X26) )
| ! [X58] :
( p8(X58)
| ~ r1(X25,X58) )
| ~ ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ! [X65] :
( ~ ( ( p7(X65)
& p8(X65) )
| ( ~ p8(X65)
& ~ p7(X65) ) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X25,X59) ) )
| ~ r1(X24,X25) )
| ! [X66] :
( p9(X66)
| ~ r1(X24,X66) )
| ~ ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ~ ( ( p8(X74)
& p9(X74) )
| ( ~ p9(X74)
& ~ p8(X74) ) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X24,X67) ) )
| ~ r1(X23,X24) )
| ! [X75] :
( p10(X75)
| ~ r1(X23,X75) )
| ~ ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ~ ( ( p9(X84)
& p10(X84) )
| ( ~ p10(X84)
& ~ p9(X84) ) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X23,X76) ) )
| ~ r1(X22,X23) )
| ! [X85] :
( p11(X85)
| ~ r1(X22,X85) )
| ~ ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ~ ( ( p10(X95)
& p11(X95) )
| ( ~ p11(X95)
& ~ p10(X95) ) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X22,X86) ) )
| ~ r1(X21,X22) )
| ! [X96] :
( p12(X96)
| ~ r1(X21,X96) )
| ~ ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ~ ( ( p11(X107)
& p12(X107) )
| ( ~ p12(X107)
& ~ p11(X107) ) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X21,X97) ) )
| ~ r1(X20,X21) )
| ! [X108] :
( p13(X108)
| ~ r1(X20,X108) )
| ~ ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ~ ( ( p12(X120)
& p13(X120) )
| ( ~ p13(X120)
& ~ p12(X120) ) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X20,X109) ) )
| ~ r1(X19,X20) )
| ! [X121] :
( p14(X121)
| ~ r1(X19,X121) )
| ~ ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ! [X134] :
( ~ ( ( p13(X134)
& p14(X134) )
| ( ~ p14(X134)
& ~ p13(X134) ) )
| ~ r1(X133,X134) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X19,X122) ) )
| ~ r1(X18,X19) )
| ! [X135] :
( p15(X135)
| ~ r1(X18,X135) )
| ~ ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ! [X149] :
( ~ ( ( p14(X149)
& p15(X149) )
| ( ~ p15(X149)
& ~ p14(X149) ) )
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X18,X136) ) )
| ~ r1(X17,X18) )
| ! [X150] :
( p16(X150)
| ~ r1(X17,X150) )
| ~ ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ! [X155] :
( ! [X156] :
( ! [X157] :
( ! [X158] :
( ! [X159] :
( ! [X160] :
( ! [X161] :
( ! [X162] :
( ! [X163] :
( ! [X164] :
( ! [X165] :
( ~ ( ( p15(X165)
& p1(X165) )
| ( ~ p1(X165)
& ~ p15(X165) ) )
| ~ r1(X164,X165) )
| ~ r1(X163,X164) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) )
| ~ r1(X160,X161) )
| ~ r1(X159,X160) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
| ~ r1(X154,X155) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X17,X151) ) )
| ~ r1(X0,X17) )
| ! [X166] :
( p17(X166)
| ~ r1(X0,X166) )
| ! [X167] :
( ! [X168] :
( ! [X169] :
( ! [X170] :
( ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] :
( ! [X175] :
( ! [X176] :
( ! [X177] :
( ! [X178] :
( ! [X179] :
( ! [X180] :
( ! [X181] :
( ! [X182] :
( ( ~ p2(X182)
& ~ p4(X182)
& ~ p6(X182)
& ~ p8(X182)
& ~ p10(X182)
& ~ p12(X182)
& ~ p14(X182)
& ~ p16(X182)
& ~ p18(X182)
& ~ p20(X182)
& ~ p22(X182)
& ~ p24(X182)
& ~ p26(X182)
& ~ p28(X182)
& ~ p30(X182)
& ~ p32(X182) )
| ~ r1(X181,X182) )
| ~ r1(X180,X181) )
| ~ r1(X179,X180) )
| ~ r1(X178,X179) )
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
| ~ r1(X175,X176) )
| ~ r1(X174,X175) )
| ~ r1(X173,X174) )
| ~ r1(X172,X173) )
| ~ r1(X171,X172) )
| ~ r1(X170,X171) )
| ~ r1(X169,X170) )
| ~ r1(X168,X169) )
| ~ r1(X167,X168) )
| ~ r1(X0,X167) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ( p1(X16)
& p2(X16)
& p3(X16)
& p4(X16)
& p5(X16)
& p6(X16)
& p7(X16)
& p8(X16)
& p9(X16)
& p10(X16)
& p11(X16)
& p12(X16)
& p13(X16)
& p14(X16)
& p15(X16)
& p16(X16) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ( ~ ! [X20] :
( ~ ( ~ ! [X21] :
( ~ ( ~ ! [X22] :
( ~ ( ~ ! [X23] :
( ~ ( ~ ! [X24] :
( ~ ( ~ ! [X25] :
( ~ ( ~ ! [X26] :
( ~ ( ~ ! [X27] :
( ~ ( ~ ! [X28] :
( ~ ( ~ ! [X29] :
( ~ ( ~ ! [X30] :
( ~ ( ~ ! [X31] :
( ! [X32] :
( ~ ( ( p1(X32)
& p2(X32) )
| ( ~ p2(X32)
& ~ p1(X32) ) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ! [X33] :
( p3(X33)
| ~ r1(X30,X33) )
| ~ ! [X34] :
( ! [X35] :
( ~ ( ( p2(X35)
& p3(X35) )
| ( ~ p3(X35)
& ~ p2(X35) ) )
| ~ r1(X34,X35) )
| ~ r1(X30,X34) ) )
| ~ r1(X29,X30) )
| ! [X36] :
( p4(X36)
| ~ r1(X29,X36) )
| ~ ! [X37] :
( ! [X38] :
( ! [X39] :
( ~ ( ( p3(X39)
& p4(X39) )
| ( ~ p4(X39)
& ~ p3(X39) ) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X29,X37) ) )
| ~ r1(X28,X29) )
| ! [X40] :
( p5(X40)
| ~ r1(X28,X40) )
| ~ ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ~ ( ( p4(X44)
& p5(X44) )
| ( ~ p5(X44)
& ~ p4(X44) ) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X28,X41) ) )
| ~ r1(X27,X28) )
| ! [X45] :
( p6(X45)
| ~ r1(X27,X45) )
| ~ ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ! [X50] :
( ~ ( ( p5(X50)
& p6(X50) )
| ( ~ p6(X50)
& ~ p5(X50) ) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X27,X46) ) )
| ~ r1(X26,X27) )
| ! [X51] :
( p7(X51)
| ~ r1(X26,X51) )
| ~ ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ~ ( ( p6(X57)
& p7(X57) )
| ( ~ p7(X57)
& ~ p6(X57) ) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X26,X52) ) )
| ~ r1(X25,X26) )
| ! [X58] :
( p8(X58)
| ~ r1(X25,X58) )
| ~ ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ! [X65] :
( ~ ( ( p7(X65)
& p8(X65) )
| ( ~ p8(X65)
& ~ p7(X65) ) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X25,X59) ) )
| ~ r1(X24,X25) )
| ! [X66] :
( p9(X66)
| ~ r1(X24,X66) )
| ~ ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ~ ( ( p8(X74)
& p9(X74) )
| ( ~ p9(X74)
& ~ p8(X74) ) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X24,X67) ) )
| ~ r1(X23,X24) )
| ! [X75] :
( p10(X75)
| ~ r1(X23,X75) )
| ~ ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ~ ( ( p9(X84)
& p10(X84) )
| ( ~ p10(X84)
& ~ p9(X84) ) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X23,X76) ) )
| ~ r1(X22,X23) )
| ! [X85] :
( p11(X85)
| ~ r1(X22,X85) )
| ~ ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ~ ( ( p10(X95)
& p11(X95) )
| ( ~ p11(X95)
& ~ p10(X95) ) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X22,X86) ) )
| ~ r1(X21,X22) )
| ! [X96] :
( p12(X96)
| ~ r1(X21,X96) )
| ~ ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ~ ( ( p11(X107)
& p12(X107) )
| ( ~ p12(X107)
& ~ p11(X107) ) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X21,X97) ) )
| ~ r1(X20,X21) )
| ! [X108] :
( p13(X108)
| ~ r1(X20,X108) )
| ~ ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ~ ( ( p12(X120)
& p13(X120) )
| ( ~ p13(X120)
& ~ p12(X120) ) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X20,X109) ) )
| ~ r1(X19,X20) )
| ! [X121] :
( p14(X121)
| ~ r1(X19,X121) )
| ~ ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ! [X134] :
( ~ ( ( p13(X134)
& p14(X134) )
| ( ~ p14(X134)
& ~ p13(X134) ) )
| ~ r1(X133,X134) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X19,X122) ) )
| ~ r1(X18,X19) )
| ! [X135] :
( p15(X135)
| ~ r1(X18,X135) )
| ~ ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ! [X149] :
( ~ ( ( p14(X149)
& p15(X149) )
| ( ~ p15(X149)
& ~ p14(X149) ) )
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X18,X136) ) )
| ~ r1(X17,X18) )
| ! [X150] :
( p16(X150)
| ~ r1(X17,X150) )
| ~ ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ! [X155] :
( ! [X156] :
( ! [X157] :
( ! [X158] :
( ! [X159] :
( ! [X160] :
( ! [X161] :
( ! [X162] :
( ! [X163] :
( ! [X164] :
( ! [X165] :
( ~ ( ( p15(X165)
& p1(X165) )
| ( ~ p1(X165)
& ~ p15(X165) ) )
| ~ r1(X164,X165) )
| ~ r1(X163,X164) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) )
| ~ r1(X160,X161) )
| ~ r1(X159,X160) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
| ~ r1(X154,X155) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X17,X151) ) )
| ~ r1(X0,X17) )
| ! [X166] : ~ r1(X0,X166)
| ! [X167] :
( ! [X168] :
( ! [X169] :
( ! [X170] :
( ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] :
( ! [X175] :
( ! [X176] :
( ! [X177] :
( ! [X178] :
( ! [X179] :
( ! [X180] :
( ! [X181] :
( ! [X182] :
( ( ~ p2(X182)
& ~ p4(X182)
& ~ p6(X182)
& ~ p8(X182)
& ~ p10(X182)
& ~ p12(X182)
& ~ p14(X182)
& ~ p16(X182)
& ~ p18(X182)
& ~ p20(X182)
& ~ p22(X182)
& ~ p24(X182)
& ~ p26(X182)
& ~ p28(X182)
& ~ p30(X182)
& ~ p32(X182) )
| ~ r1(X181,X182) )
| ~ r1(X180,X181) )
| ~ r1(X179,X180) )
| ~ r1(X178,X179) )
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
| ~ r1(X175,X176) )
| ~ r1(X174,X175) )
| ~ r1(X173,X174) )
| ~ r1(X172,X173) )
| ~ r1(X171,X172) )
| ~ r1(X170,X171) )
| ~ r1(X169,X170) )
| ~ r1(X168,X169) )
| ~ r1(X167,X168) )
| ~ r1(X0,X167) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ( p1(X16)
& p2(X16)
& p3(X16)
& p4(X16)
& p5(X16)
& p6(X16)
& p7(X16)
& p8(X16)
& p9(X16)
& p10(X16)
& p11(X16)
& p12(X16)
& p13(X16)
& p14(X16)
& p15(X16)
& p16(X16) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ( ~ ! [X20] :
( ~ ( ~ ! [X21] :
( ~ ( ~ ! [X22] :
( ~ ( ~ ! [X23] :
( ~ ( ~ ! [X24] :
( ~ ( ~ ! [X25] :
( ~ ( ~ ! [X26] :
( ~ ( ~ ! [X27] :
( ~ ( ~ ! [X28] :
( ~ ( ~ ! [X29] :
( ~ ( ~ ! [X30] :
( ~ ( ~ ! [X31] :
( ! [X32] :
( ~ ( ( p1(X32)
& p2(X32) )
| ( ~ p2(X32)
& ~ p1(X32) ) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ! [X33] :
( p3(X33)
| ~ r1(X30,X33) )
| ~ ! [X34] :
( ! [X35] :
( ~ ( ( p2(X35)
& p3(X35) )
| ( ~ p3(X35)
& ~ p2(X35) ) )
| ~ r1(X34,X35) )
| ~ r1(X30,X34) ) )
| ~ r1(X29,X30) )
| ! [X36] :
( p4(X36)
| ~ r1(X29,X36) )
| ~ ! [X37] :
( ! [X38] :
( ! [X39] :
( ~ ( ( p3(X39)
& p4(X39) )
| ( ~ p4(X39)
& ~ p3(X39) ) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X29,X37) ) )
| ~ r1(X28,X29) )
| ! [X40] :
( p5(X40)
| ~ r1(X28,X40) )
| ~ ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ~ ( ( p4(X44)
& p5(X44) )
| ( ~ p5(X44)
& ~ p4(X44) ) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X28,X41) ) )
| ~ r1(X27,X28) )
| ! [X45] :
( p6(X45)
| ~ r1(X27,X45) )
| ~ ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ! [X50] :
( ~ ( ( p5(X50)
& p6(X50) )
| ( ~ p6(X50)
& ~ p5(X50) ) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X27,X46) ) )
| ~ r1(X26,X27) )
| ! [X51] :
( p7(X51)
| ~ r1(X26,X51) )
| ~ ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ~ ( ( p6(X57)
& p7(X57) )
| ( ~ p7(X57)
& ~ p6(X57) ) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X26,X52) ) )
| ~ r1(X25,X26) )
| ! [X58] :
( p8(X58)
| ~ r1(X25,X58) )
| ~ ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ! [X65] :
( ~ ( ( p7(X65)
& p8(X65) )
| ( ~ p8(X65)
& ~ p7(X65) ) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X25,X59) ) )
| ~ r1(X24,X25) )
| ! [X66] :
( p9(X66)
| ~ r1(X24,X66) )
| ~ ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ~ ( ( p8(X74)
& p9(X74) )
| ( ~ p9(X74)
& ~ p8(X74) ) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X24,X67) ) )
| ~ r1(X23,X24) )
| ! [X75] :
( p10(X75)
| ~ r1(X23,X75) )
| ~ ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ~ ( ( p9(X84)
& p10(X84) )
| ( ~ p10(X84)
& ~ p9(X84) ) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X23,X76) ) )
| ~ r1(X22,X23) )
| ! [X85] :
( p11(X85)
| ~ r1(X22,X85) )
| ~ ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ~ ( ( p10(X95)
& p11(X95) )
| ( ~ p11(X95)
& ~ p10(X95) ) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X22,X86) ) )
| ~ r1(X21,X22) )
| ! [X96] :
( p12(X96)
| ~ r1(X21,X96) )
| ~ ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ~ ( ( p11(X107)
& p12(X107) )
| ( ~ p12(X107)
& ~ p11(X107) ) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X21,X97) ) )
| ~ r1(X20,X21) )
| ! [X108] :
( p13(X108)
| ~ r1(X20,X108) )
| ~ ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ~ ( ( p12(X120)
& p13(X120) )
| ( ~ p13(X120)
& ~ p12(X120) ) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X20,X109) ) )
| ~ r1(X19,X20) )
| ! [X121] :
( p14(X121)
| ~ r1(X19,X121) )
| ~ ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ! [X134] :
( ~ ( ( p13(X134)
& p14(X134) )
| ( ~ p14(X134)
& ~ p13(X134) ) )
| ~ r1(X133,X134) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X19,X122) ) )
| ~ r1(X18,X19) )
| ! [X135] :
( p15(X135)
| ~ r1(X18,X135) )
| ~ ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ! [X149] :
( ~ ( ( p14(X149)
& p15(X149) )
| ( ~ p15(X149)
& ~ p14(X149) ) )
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X18,X136) ) )
| ~ r1(X17,X18) )
| ! [X150] :
( p16(X150)
| ~ r1(X17,X150) )
| ~ ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ! [X155] :
( ! [X156] :
( ! [X157] :
( ! [X158] :
( ! [X159] :
( ! [X160] :
( ! [X161] :
( ! [X162] :
( ! [X163] :
( ! [X164] :
( ! [X165] :
( ~ ( ( p15(X165)
& p1(X165) )
| ( ~ p1(X165)
& ~ p15(X165) ) )
| ~ r1(X164,X165) )
| ~ r1(X163,X164) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) )
| ~ r1(X160,X161) )
| ~ r1(X159,X160) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
| ~ r1(X154,X155) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X17,X151) ) )
| ~ r1(X0,X17) )
| ! [X166] : ~ r1(X0,X166)
| ! [X167] :
( ! [X168] :
( ! [X169] :
( ! [X170] :
( ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] :
( ! [X175] :
( ! [X176] :
( ! [X177] :
( ! [X178] :
( ! [X179] :
( ! [X180] :
( ! [X181] :
( ! [X182] : ~ r1(X181,X182)
| ~ r1(X180,X181) )
| ~ r1(X179,X180) )
| ~ r1(X178,X179) )
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
| ~ r1(X175,X176) )
| ~ r1(X174,X175) )
| ~ r1(X173,X174) )
| ~ r1(X172,X173) )
| ~ r1(X171,X172) )
| ~ r1(X170,X171) )
| ~ r1(X169,X170) )
| ~ r1(X168,X169) )
| ~ r1(X167,X168) )
| ~ r1(X0,X167) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ( ~ ! [X20] :
( ~ ( ~ ! [X21] :
( ~ ( ~ ! [X22] :
( ~ ( ~ ! [X23] :
( ~ ( ~ ! [X24] :
( ~ ( ~ ! [X25] :
( ~ ( ~ ! [X26] :
( ~ ( ~ ! [X27] :
( ~ ( ~ ! [X28] :
( ~ ( ~ ! [X29] :
( ~ ( ~ ! [X30] :
( ~ ( ~ ! [X31] :
( ! [X32] :
( ~ ( ( p1(X32)
& p2(X32) )
| ( ~ p2(X32)
& ~ p1(X32) ) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ! [X33] :
( p3(X33)
| ~ r1(X30,X33) )
| ~ ! [X34] :
( ! [X35] :
( ~ ( ( p2(X35)
& p3(X35) )
| ( ~ p3(X35)
& ~ p2(X35) ) )
| ~ r1(X34,X35) )
| ~ r1(X30,X34) ) )
| ~ r1(X29,X30) )
| ! [X36] :
( p4(X36)
| ~ r1(X29,X36) )
| ~ ! [X37] :
( ! [X38] :
( ! [X39] :
( ~ ( ( p3(X39)
& p4(X39) )
| ( ~ p4(X39)
& ~ p3(X39) ) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X29,X37) ) )
| ~ r1(X28,X29) )
| ! [X40] :
( p5(X40)
| ~ r1(X28,X40) )
| ~ ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ~ ( ( p4(X44)
& p5(X44) )
| ( ~ p5(X44)
& ~ p4(X44) ) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X28,X41) ) )
| ~ r1(X27,X28) )
| ! [X45] :
( p6(X45)
| ~ r1(X27,X45) )
| ~ ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ! [X50] :
( ~ ( ( p5(X50)
& p6(X50) )
| ( ~ p6(X50)
& ~ p5(X50) ) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X27,X46) ) )
| ~ r1(X26,X27) )
| ! [X51] :
( p7(X51)
| ~ r1(X26,X51) )
| ~ ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ~ ( ( p6(X57)
& p7(X57) )
| ( ~ p7(X57)
& ~ p6(X57) ) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X26,X52) ) )
| ~ r1(X25,X26) )
| ! [X58] :
( p8(X58)
| ~ r1(X25,X58) )
| ~ ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ! [X65] :
( ~ ( ( p7(X65)
& p8(X65) )
| ( ~ p8(X65)
& ~ p7(X65) ) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X25,X59) ) )
| ~ r1(X24,X25) )
| ! [X66] :
( p9(X66)
| ~ r1(X24,X66) )
| ~ ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ~ ( ( p8(X74)
& p9(X74) )
| ( ~ p9(X74)
& ~ p8(X74) ) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X24,X67) ) )
| ~ r1(X23,X24) )
| ! [X75] :
( p10(X75)
| ~ r1(X23,X75) )
| ~ ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ~ ( ( p9(X84)
& p10(X84) )
| ( ~ p10(X84)
& ~ p9(X84) ) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X23,X76) ) )
| ~ r1(X22,X23) )
| ! [X85] :
( p11(X85)
| ~ r1(X22,X85) )
| ~ ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ~ ( ( p10(X95)
& p11(X95) )
| ( ~ p11(X95)
& ~ p10(X95) ) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X22,X86) ) )
| ~ r1(X21,X22) )
| ! [X96] :
( p12(X96)
| ~ r1(X21,X96) )
| ~ ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ~ ( ( p11(X107)
& p12(X107) )
| ( ~ p12(X107)
& ~ p11(X107) ) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X21,X97) ) )
| ~ r1(X20,X21) )
| ! [X108] :
( p13(X108)
| ~ r1(X20,X108) )
| ~ ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ~ ( ( p12(X120)
& p13(X120) )
| ( ~ p13(X120)
& ~ p12(X120) ) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X20,X109) ) )
| ~ r1(X19,X20) )
| ! [X121] :
( p14(X121)
| ~ r1(X19,X121) )
| ~ ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ! [X134] :
( ~ ( ( p13(X134)
& p14(X134) )
| ( ~ p14(X134)
& ~ p13(X134) ) )
| ~ r1(X133,X134) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X19,X122) ) )
| ~ r1(X18,X19) )
| ! [X135] :
( p15(X135)
| ~ r1(X18,X135) )
| ~ ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ! [X149] :
( ~ ( ( p14(X149)
& p15(X149) )
| ( ~ p15(X149)
& ~ p14(X149) ) )
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X18,X136) ) )
| ~ r1(X17,X18) )
| ! [X150] : ~ r1(X17,X150)
| ~ ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ! [X155] :
( ! [X156] :
( ! [X157] :
( ! [X158] :
( ! [X159] :
( ! [X160] :
( ! [X161] :
( ! [X162] :
( ! [X163] :
( ! [X164] :
( ! [X165] :
( ~ ( ( p15(X165)
& p1(X165) )
| ( ~ p1(X165)
& ~ p15(X165) ) )
| ~ r1(X164,X165) )
| ~ r1(X163,X164) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) )
| ~ r1(X160,X161) )
| ~ r1(X159,X160) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
| ~ r1(X154,X155) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X17,X151) ) )
| ~ r1(X0,X17) )
| ! [X166] : ~ r1(X0,X166)
| ! [X167] :
( ! [X168] :
( ! [X169] :
( ! [X170] :
( ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] :
( ! [X175] :
( ! [X176] :
( ! [X177] :
( ! [X178] :
( ! [X179] :
( ! [X180] :
( ! [X181] :
( ! [X182] : ~ r1(X181,X182)
| ~ r1(X180,X181) )
| ~ r1(X179,X180) )
| ~ r1(X178,X179) )
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
| ~ r1(X175,X176) )
| ~ r1(X174,X175) )
| ~ r1(X173,X174) )
| ~ r1(X172,X173) )
| ~ r1(X171,X172) )
| ~ r1(X170,X171) )
| ~ r1(X169,X170) )
| ~ r1(X168,X169) )
| ~ r1(X167,X168) )
| ~ r1(X0,X167) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(X5,X6) )
& r1(X4,X5) )
& r1(X3,X4) )
& r1(X2,X3) )
& r1(X1,X2) )
& r1(X0,X1) )
& ! [X17] :
( ( ! [X18] :
( ( ! [X19] :
( ( ! [X20] :
( ( ! [X21] :
( ( ! [X22] :
( ( ! [X23] :
( ( ! [X24] :
( ( ! [X25] :
( ( ! [X26] :
( ( ! [X27] :
( ( ! [X28] :
( ( ! [X29] :
( ( ! [X30] :
( ( ! [X31] :
( ! [X32] :
( ( ( ~ p1(X32)
| ~ p2(X32) )
& ( p2(X32)
| p1(X32) ) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
& ? [X33] :
( ~ p3(X33)
& r1(X30,X33) )
& ! [X34] :
( ! [X35] :
( ( ( ~ p2(X35)
| ~ p3(X35) )
& ( p3(X35)
| p2(X35) ) )
| ~ r1(X34,X35) )
| ~ r1(X30,X34) ) )
| ~ r1(X29,X30) )
& ? [X36] :
( ~ p4(X36)
& r1(X29,X36) )
& ! [X37] :
( ! [X38] :
( ! [X39] :
( ( ( ~ p3(X39)
| ~ p4(X39) )
& ( p4(X39)
| p3(X39) ) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X29,X37) ) )
| ~ r1(X28,X29) )
& ? [X40] :
( ~ p5(X40)
& r1(X28,X40) )
& ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ( ( ~ p4(X44)
| ~ p5(X44) )
& ( p5(X44)
| p4(X44) ) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X28,X41) ) )
| ~ r1(X27,X28) )
& ? [X45] :
( ~ p6(X45)
& r1(X27,X45) )
& ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ! [X50] :
( ( ( ~ p5(X50)
| ~ p6(X50) )
& ( p6(X50)
| p5(X50) ) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X27,X46) ) )
| ~ r1(X26,X27) )
& ? [X51] :
( ~ p7(X51)
& r1(X26,X51) )
& ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ( ( ~ p6(X57)
| ~ p7(X57) )
& ( p7(X57)
| p6(X57) ) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X26,X52) ) )
| ~ r1(X25,X26) )
& ? [X58] :
( ~ p8(X58)
& r1(X25,X58) )
& ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ! [X65] :
( ( ( ~ p7(X65)
| ~ p8(X65) )
& ( p8(X65)
| p7(X65) ) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X25,X59) ) )
| ~ r1(X24,X25) )
& ? [X66] :
( ~ p9(X66)
& r1(X24,X66) )
& ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ( ( ~ p8(X74)
| ~ p9(X74) )
& ( p9(X74)
| p8(X74) ) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X24,X67) ) )
| ~ r1(X23,X24) )
& ? [X75] :
( ~ p10(X75)
& r1(X23,X75) )
& ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ( ( ~ p9(X84)
| ~ p10(X84) )
& ( p10(X84)
| p9(X84) ) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X23,X76) ) )
| ~ r1(X22,X23) )
& ? [X85] :
( ~ p11(X85)
& r1(X22,X85) )
& ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ( ( ~ p10(X95)
| ~ p11(X95) )
& ( p11(X95)
| p10(X95) ) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X22,X86) ) )
| ~ r1(X21,X22) )
& ? [X96] :
( ~ p12(X96)
& r1(X21,X96) )
& ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ( ( ~ p11(X107)
| ~ p12(X107) )
& ( p12(X107)
| p11(X107) ) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X21,X97) ) )
| ~ r1(X20,X21) )
& ? [X108] :
( ~ p13(X108)
& r1(X20,X108) )
& ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ( ( ~ p12(X120)
| ~ p13(X120) )
& ( p13(X120)
| p12(X120) ) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X20,X109) ) )
| ~ r1(X19,X20) )
& ? [X121] :
( ~ p14(X121)
& r1(X19,X121) )
& ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ! [X134] :
( ( ( ~ p13(X134)
| ~ p14(X134) )
& ( p14(X134)
| p13(X134) ) )
| ~ r1(X133,X134) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X19,X122) ) )
| ~ r1(X18,X19) )
& ? [X135] :
( ~ p15(X135)
& r1(X18,X135) )
& ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ! [X149] :
( ( ( ~ p14(X149)
| ~ p15(X149) )
& ( p15(X149)
| p14(X149) ) )
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X18,X136) ) )
| ~ r1(X17,X18) )
& ? [X150] : r1(X17,X150)
& ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ! [X155] :
( ! [X156] :
( ! [X157] :
( ! [X158] :
( ! [X159] :
( ! [X160] :
( ! [X161] :
( ! [X162] :
( ! [X163] :
( ! [X164] :
( ! [X165] :
( ( ( ~ p15(X165)
| ~ p1(X165) )
& ( p1(X165)
| p15(X165) ) )
| ~ r1(X164,X165) )
| ~ r1(X163,X164) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) )
| ~ r1(X160,X161) )
| ~ r1(X159,X160) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
| ~ r1(X154,X155) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X17,X151) ) )
| ~ r1(X0,X17) )
& ? [X166] : r1(X0,X166)
& ? [X167] :
( ? [X168] :
( ? [X169] :
( ? [X170] :
( ? [X171] :
( ? [X172] :
( ? [X173] :
( ? [X174] :
( ? [X175] :
( ? [X176] :
( ? [X177] :
( ? [X178] :
( ? [X179] :
( ? [X180] :
( ? [X181] :
( ? [X182] : r1(X181,X182)
& r1(X180,X181) )
& r1(X179,X180) )
& r1(X178,X179) )
& r1(X177,X178) )
& r1(X176,X177) )
& r1(X175,X176) )
& r1(X174,X175) )
& r1(X173,X174) )
& r1(X172,X173) )
& r1(X171,X172) )
& r1(X170,X171) )
& r1(X169,X170) )
& r1(X168,X169) )
& r1(X167,X168) )
& r1(X0,X167) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
! [X29] :
( ! [X30] :
( ( ! [X31] :
( ! [X32] :
( ( ( ~ p1(X32)
| ~ p2(X32) )
& ( p2(X32)
| p1(X32) ) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
& ? [X33] :
( ~ p3(X33)
& r1(X30,X33) )
& ! [X34] :
( ! [X35] :
( ( ( ~ p2(X35)
| ~ p3(X35) )
& ( p3(X35)
| p2(X35) ) )
| ~ r1(X34,X35) )
| ~ r1(X30,X34) ) )
| ~ r1(X29,X30) )
| ~ sP0(X29) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X28] :
( ! [X29] :
( ( sP0(X29)
& ? [X36] :
( ~ p4(X36)
& r1(X29,X36) )
& ! [X37] :
( ! [X38] :
( ! [X39] :
( ( ( ~ p3(X39)
| ~ p4(X39) )
& ( p4(X39)
| p3(X39) ) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X29,X37) ) )
| ~ r1(X28,X29) )
| ~ sP1(X28) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X27] :
( ! [X28] :
( ( sP1(X28)
& ? [X40] :
( ~ p5(X40)
& r1(X28,X40) )
& ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ( ( ~ p4(X44)
| ~ p5(X44) )
& ( p5(X44)
| p4(X44) ) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X28,X41) ) )
| ~ r1(X27,X28) )
| ~ sP2(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X26] :
( ! [X27] :
( ( sP2(X27)
& ? [X45] :
( ~ p6(X45)
& r1(X27,X45) )
& ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ! [X50] :
( ( ( ~ p5(X50)
| ~ p6(X50) )
& ( p6(X50)
| p5(X50) ) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X27,X46) ) )
| ~ r1(X26,X27) )
| ~ sP3(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X25] :
( ! [X26] :
( ( sP3(X26)
& ? [X51] :
( ~ p7(X51)
& r1(X26,X51) )
& ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ( ( ~ p6(X57)
| ~ p7(X57) )
& ( p7(X57)
| p6(X57) ) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X26,X52) ) )
| ~ r1(X25,X26) )
| ~ sP4(X25) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X24] :
( ! [X25] :
( ( sP4(X25)
& ? [X58] :
( ~ p8(X58)
& r1(X25,X58) )
& ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ! [X65] :
( ( ( ~ p7(X65)
| ~ p8(X65) )
& ( p8(X65)
| p7(X65) ) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X25,X59) ) )
| ~ r1(X24,X25) )
| ~ sP5(X24) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
! [X23] :
( ! [X24] :
( ( sP5(X24)
& ? [X66] :
( ~ p9(X66)
& r1(X24,X66) )
& ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ( ( ~ p8(X74)
| ~ p9(X74) )
& ( p9(X74)
| p8(X74) ) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X24,X67) ) )
| ~ r1(X23,X24) )
| ~ sP6(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X22] :
( ! [X23] :
( ( sP6(X23)
& ? [X75] :
( ~ p10(X75)
& r1(X23,X75) )
& ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ( ( ~ p9(X84)
| ~ p10(X84) )
& ( p10(X84)
| p9(X84) ) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X23,X76) ) )
| ~ r1(X22,X23) )
| ~ sP7(X22) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X21] :
( ! [X22] :
( ( sP7(X22)
& ? [X85] :
( ~ p11(X85)
& r1(X22,X85) )
& ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ( ( ~ p10(X95)
| ~ p11(X95) )
& ( p11(X95)
| p10(X95) ) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X22,X86) ) )
| ~ r1(X21,X22) )
| ~ sP8(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
! [X20] :
( ! [X21] :
( ( sP8(X21)
& ? [X96] :
( ~ p12(X96)
& r1(X21,X96) )
& ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ( ( ~ p11(X107)
| ~ p12(X107) )
& ( p12(X107)
| p11(X107) ) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X21,X97) ) )
| ~ r1(X20,X21) )
| ~ sP9(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
! [X19] :
( ! [X20] :
( ( sP9(X20)
& ? [X108] :
( ~ p13(X108)
& r1(X20,X108) )
& ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ( ( ~ p12(X120)
| ~ p13(X120) )
& ( p13(X120)
| p12(X120) ) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X20,X109) ) )
| ~ r1(X19,X20) )
| ~ sP10(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f20,plain,
! [X18] :
( ! [X19] :
( ( sP10(X19)
& ? [X121] :
( ~ p14(X121)
& r1(X19,X121) )
& ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ! [X134] :
( ( ( ~ p13(X134)
| ~ p14(X134) )
& ( p14(X134)
| p13(X134) ) )
| ~ r1(X133,X134) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X19,X122) ) )
| ~ r1(X18,X19) )
| ~ sP11(X18) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f21,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(X5,X6) )
& r1(X4,X5) )
& r1(X3,X4) )
& r1(X2,X3) )
& r1(X1,X2) )
& r1(X0,X1) )
& ! [X17] :
( ( ! [X18] :
( ( sP11(X18)
& ? [X135] :
( ~ p15(X135)
& r1(X18,X135) )
& ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ! [X149] :
( ( ( ~ p14(X149)
| ~ p15(X149) )
& ( p15(X149)
| p14(X149) ) )
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X18,X136) ) )
| ~ r1(X17,X18) )
& ? [X150] : r1(X17,X150)
& ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ! [X155] :
( ! [X156] :
( ! [X157] :
( ! [X158] :
( ! [X159] :
( ! [X160] :
( ! [X161] :
( ! [X162] :
( ! [X163] :
( ! [X164] :
( ! [X165] :
( ( ( ~ p15(X165)
| ~ p1(X165) )
& ( p1(X165)
| p15(X165) ) )
| ~ r1(X164,X165) )
| ~ r1(X163,X164) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) )
| ~ r1(X160,X161) )
| ~ r1(X159,X160) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
| ~ r1(X154,X155) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X17,X151) ) )
| ~ r1(X0,X17) )
& ? [X166] : r1(X0,X166)
& ? [X167] :
( ? [X168] :
( ? [X169] :
( ? [X170] :
( ? [X171] :
( ? [X172] :
( ? [X173] :
( ? [X174] :
( ? [X175] :
( ? [X176] :
( ? [X177] :
( ? [X178] :
( ? [X179] :
( ? [X180] :
( ? [X181] :
( ? [X182] : r1(X181,X182)
& r1(X180,X181) )
& r1(X179,X180) )
& r1(X178,X179) )
& r1(X177,X178) )
& r1(X176,X177) )
& r1(X175,X176) )
& r1(X174,X175) )
& r1(X173,X174) )
& r1(X172,X173) )
& r1(X171,X172) )
& r1(X170,X171) )
& r1(X169,X170) )
& r1(X168,X169) )
& r1(X167,X168) )
& r1(X0,X167) ) ),
inference(definition_folding,[],[f8,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f22,plain,
! [X18] :
( ! [X19] :
( ( sP10(X19)
& ? [X121] :
( ~ p14(X121)
& r1(X19,X121) )
& ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ! [X134] :
( ( ( ~ p13(X134)
| ~ p14(X134) )
& ( p14(X134)
| p13(X134) ) )
| ~ r1(X133,X134) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X19,X122) ) )
| ~ r1(X18,X19) )
| ~ sP11(X18) ),
inference(nnf_transformation,[],[f20]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ( sP10(X1)
& ? [X2] :
( ~ p14(X2)
& r1(X1,X2) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ( ( ~ p13(X15)
| ~ p14(X15) )
& ( p14(X15)
| p13(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(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X1] :
( ? [X2] :
( ~ p14(X2)
& r1(X1,X2) )
=> ( ~ p14(sK12(X1))
& r1(X1,sK12(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ( sP10(X1)
& ~ p14(sK12(X1))
& r1(X1,sK12(X1))
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ( ( ~ p13(X15)
| ~ p14(X15) )
& ( p14(X15)
| p13(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(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f23,f24]) ).
fof(f26,plain,
! [X19] :
( ! [X20] :
( ( sP9(X20)
& ? [X108] :
( ~ p13(X108)
& r1(X20,X108) )
& ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( ! [X116] :
( ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ( ( ~ p12(X120)
| ~ p13(X120) )
& ( p13(X120)
| p12(X120) ) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X20,X109) ) )
| ~ r1(X19,X20) )
| ~ sP10(X19) ),
inference(nnf_transformation,[],[f19]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ( sP9(X1)
& ? [X2] :
( ~ p13(X2)
& r1(X1,X2) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ( ( ~ p12(X14)
| ~ p13(X14) )
& ( p13(X14)
| p12(X14) ) )
| ~ 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(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X1] :
( ? [X2] :
( ~ p13(X2)
& r1(X1,X2) )
=> ( ~ p13(sK13(X1))
& r1(X1,sK13(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ( sP9(X1)
& ~ p13(sK13(X1))
& r1(X1,sK13(X1))
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ( ( ~ p12(X14)
| ~ p13(X14) )
& ( p13(X14)
| p12(X14) ) )
| ~ 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(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f27,f28]) ).
fof(f30,plain,
! [X20] :
( ! [X21] :
( ( sP8(X21)
& ? [X96] :
( ~ p12(X96)
& r1(X21,X96) )
& ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ! [X104] :
( ! [X105] :
( ! [X106] :
( ! [X107] :
( ( ( ~ p11(X107)
| ~ p12(X107) )
& ( p12(X107)
| p11(X107) ) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X21,X97) ) )
| ~ r1(X20,X21) )
| ~ sP9(X20) ),
inference(nnf_transformation,[],[f18]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ( sP8(X1)
& ? [X2] :
( ~ p12(X2)
& r1(X1,X2) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ( ( ~ p11(X13)
| ~ p12(X13) )
& ( p12(X13)
| p11(X13) ) )
| ~ 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(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP9(X0) ),
inference(rectify,[],[f30]) ).
fof(f32,plain,
! [X1] :
( ? [X2] :
( ~ p12(X2)
& r1(X1,X2) )
=> ( ~ p12(sK14(X1))
& r1(X1,sK14(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ( sP8(X1)
& ~ p12(sK14(X1))
& r1(X1,sK14(X1))
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ( ( ~ p11(X13)
| ~ p12(X13) )
& ( p12(X13)
| p11(X13) ) )
| ~ 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(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP9(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f31,f32]) ).
fof(f34,plain,
! [X21] :
( ! [X22] :
( ( sP7(X22)
& ? [X85] :
( ~ p11(X85)
& r1(X22,X85) )
& ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ( ( ~ p10(X95)
| ~ p11(X95) )
& ( p11(X95)
| p10(X95) ) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X22,X86) ) )
| ~ r1(X21,X22) )
| ~ sP8(X21) ),
inference(nnf_transformation,[],[f17]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ( sP7(X1)
& ? [X2] :
( ~ p11(X2)
& r1(X1,X2) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ( ( ~ p10(X12)
| ~ p11(X12) )
& ( p11(X12)
| p10(X12) ) )
| ~ 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(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP8(X0) ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
! [X1] :
( ? [X2] :
( ~ p11(X2)
& r1(X1,X2) )
=> ( ~ p11(sK15(X1))
& r1(X1,sK15(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ( sP7(X1)
& ~ p11(sK15(X1))
& r1(X1,sK15(X1))
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ( ( ~ p10(X12)
| ~ p11(X12) )
& ( p11(X12)
| p10(X12) ) )
| ~ 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(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f35,f36]) ).
fof(f38,plain,
! [X22] :
( ! [X23] :
( ( sP6(X23)
& ? [X75] :
( ~ p10(X75)
& r1(X23,X75) )
& ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ( ( ~ p9(X84)
| ~ p10(X84) )
& ( p10(X84)
| p9(X84) ) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X23,X76) ) )
| ~ r1(X22,X23) )
| ~ sP7(X22) ),
inference(nnf_transformation,[],[f16]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ( sP6(X1)
& ? [X2] :
( ~ p10(X2)
& r1(X1,X2) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ( ( ~ p9(X11)
| ~ p10(X11) )
& ( p10(X11)
| p9(X11) ) )
| ~ 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(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(rectify,[],[f38]) ).
fof(f40,plain,
! [X1] :
( ? [X2] :
( ~ p10(X2)
& r1(X1,X2) )
=> ( ~ p10(sK16(X1))
& r1(X1,sK16(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ( sP6(X1)
& ~ p10(sK16(X1))
& r1(X1,sK16(X1))
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ( ( ~ p9(X11)
| ~ p10(X11) )
& ( p10(X11)
| p9(X11) ) )
| ~ 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(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f39,f40]) ).
fof(f42,plain,
! [X23] :
( ! [X24] :
( ( sP5(X24)
& ? [X66] :
( ~ p9(X66)
& r1(X24,X66) )
& ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ( ( ~ p8(X74)
| ~ p9(X74) )
& ( p9(X74)
| p8(X74) ) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X24,X67) ) )
| ~ r1(X23,X24) )
| ~ sP6(X23) ),
inference(nnf_transformation,[],[f15]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ( sP5(X1)
& ? [X2] :
( ~ p9(X2)
& r1(X1,X2) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ p8(X10)
| ~ p9(X10) )
& ( p9(X10)
| p8(X10) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(rectify,[],[f42]) ).
fof(f44,plain,
! [X1] :
( ? [X2] :
( ~ p9(X2)
& r1(X1,X2) )
=> ( ~ p9(sK17(X1))
& r1(X1,sK17(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ( sP5(X1)
& ~ p9(sK17(X1))
& r1(X1,sK17(X1))
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ p8(X10)
| ~ p9(X10) )
& ( p9(X10)
| p8(X10) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f43,f44]) ).
fof(f46,plain,
! [X24] :
( ! [X25] :
( ( sP4(X25)
& ? [X58] :
( ~ p8(X58)
& r1(X25,X58) )
& ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ! [X65] :
( ( ( ~ p7(X65)
| ~ p8(X65) )
& ( p8(X65)
| p7(X65) ) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X25,X59) ) )
| ~ r1(X24,X25) )
| ~ sP5(X24) ),
inference(nnf_transformation,[],[f14]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ( sP4(X1)
& ? [X2] :
( ~ p8(X2)
& r1(X1,X2) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ( ( ~ p7(X9)
| ~ p8(X9) )
& ( p8(X9)
| p7(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f46]) ).
fof(f48,plain,
! [X1] :
( ? [X2] :
( ~ p8(X2)
& r1(X1,X2) )
=> ( ~ p8(sK18(X1))
& r1(X1,sK18(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ( sP4(X1)
& ~ p8(sK18(X1))
& r1(X1,sK18(X1))
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ( ( ~ p7(X9)
| ~ p8(X9) )
& ( p8(X9)
| p7(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f47,f48]) ).
fof(f50,plain,
! [X25] :
( ! [X26] :
( ( sP3(X26)
& ? [X51] :
( ~ p7(X51)
& r1(X26,X51) )
& ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ( ( ~ p6(X57)
| ~ p7(X57) )
& ( p7(X57)
| p6(X57) ) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X26,X52) ) )
| ~ r1(X25,X26) )
| ~ sP4(X25) ),
inference(nnf_transformation,[],[f13]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ( sP3(X1)
& ? [X2] :
( ~ p7(X2)
& r1(X1,X2) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ( ( ~ p6(X8)
| ~ p7(X8) )
& ( p7(X8)
| p6(X8) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f50]) ).
fof(f52,plain,
! [X1] :
( ? [X2] :
( ~ p7(X2)
& r1(X1,X2) )
=> ( ~ p7(sK19(X1))
& r1(X1,sK19(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( sP3(X1)
& ~ p7(sK19(X1))
& r1(X1,sK19(X1))
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ( ( ~ p6(X8)
| ~ p7(X8) )
& ( p7(X8)
| p6(X8) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f51,f52]) ).
fof(f54,plain,
! [X26] :
( ! [X27] :
( ( sP2(X27)
& ? [X45] :
( ~ p6(X45)
& r1(X27,X45) )
& ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ! [X50] :
( ( ( ~ p5(X50)
| ~ p6(X50) )
& ( p6(X50)
| p5(X50) ) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X27,X46) ) )
| ~ r1(X26,X27) )
| ~ sP3(X26) ),
inference(nnf_transformation,[],[f12]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ( sP2(X1)
& ? [X2] :
( ~ p6(X2)
& r1(X1,X2) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ( ( ~ p5(X7)
| ~ p6(X7) )
& ( p6(X7)
| p5(X7) ) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f54]) ).
fof(f56,plain,
! [X1] :
( ? [X2] :
( ~ p6(X2)
& r1(X1,X2) )
=> ( ~ p6(sK20(X1))
& r1(X1,sK20(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( sP2(X1)
& ~ p6(sK20(X1))
& r1(X1,sK20(X1))
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ( ( ~ p5(X7)
| ~ p6(X7) )
& ( p6(X7)
| p5(X7) ) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f55,f56]) ).
fof(f58,plain,
! [X27] :
( ! [X28] :
( ( sP1(X28)
& ? [X40] :
( ~ p5(X40)
& r1(X28,X40) )
& ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ( ( ~ p4(X44)
| ~ p5(X44) )
& ( p5(X44)
| p4(X44) ) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X28,X41) ) )
| ~ r1(X27,X28) )
| ~ sP2(X27) ),
inference(nnf_transformation,[],[f11]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ( sP1(X1)
& ? [X2] :
( ~ p5(X2)
& r1(X1,X2) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ( ( ~ p4(X6)
| ~ p5(X6) )
& ( p5(X6)
| p4(X6) ) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X1] :
( ? [X2] :
( ~ p5(X2)
& r1(X1,X2) )
=> ( ~ p5(sK21(X1))
& r1(X1,sK21(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( sP1(X1)
& ~ p5(sK21(X1))
& r1(X1,sK21(X1))
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ( ( ~ p4(X6)
| ~ p5(X6) )
& ( p5(X6)
| p4(X6) ) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f59,f60]) ).
fof(f62,plain,
! [X28] :
( ! [X29] :
( ( sP0(X29)
& ? [X36] :
( ~ p4(X36)
& r1(X29,X36) )
& ! [X37] :
( ! [X38] :
( ! [X39] :
( ( ( ~ p3(X39)
| ~ p4(X39) )
& ( p4(X39)
| p3(X39) ) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X29,X37) ) )
| ~ r1(X28,X29) )
| ~ sP1(X28) ),
inference(nnf_transformation,[],[f10]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( sP0(X1)
& ? [X2] :
( ~ p4(X2)
& r1(X1,X2) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ p3(X5)
| ~ p4(X5) )
& ( p4(X5)
| p3(X5) ) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f62]) ).
fof(f64,plain,
! [X1] :
( ? [X2] :
( ~ p4(X2)
& r1(X1,X2) )
=> ( ~ p4(sK22(X1))
& r1(X1,sK22(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ( sP0(X1)
& ~ p4(sK22(X1))
& r1(X1,sK22(X1))
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ p3(X5)
| ~ p4(X5) )
& ( p4(X5)
| p3(X5) ) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f63,f64]) ).
fof(f66,plain,
! [X29] :
( ! [X30] :
( ( ! [X31] :
( ! [X32] :
( ( ( ~ p1(X32)
| ~ p2(X32) )
& ( p2(X32)
| p1(X32) ) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
& ? [X33] :
( ~ p3(X33)
& r1(X30,X33) )
& ! [X34] :
( ! [X35] :
( ( ( ~ p2(X35)
| ~ p3(X35) )
& ( p3(X35)
| p2(X35) ) )
| ~ r1(X34,X35) )
| ~ r1(X30,X34) ) )
| ~ r1(X29,X30) )
| ~ sP0(X29) ),
inference(nnf_transformation,[],[f9]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ! [X3] :
( ( ( ~ p1(X3)
| ~ p2(X3) )
& ( p2(X3)
| p1(X3) ) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ? [X4] :
( ~ p3(X4)
& r1(X1,X4) )
& ! [X5] :
( ! [X6] :
( ( ( ~ p2(X6)
| ~ p3(X6) )
& ( p3(X6)
| p2(X6) ) )
| ~ r1(X5,X6) )
| ~ r1(X1,X5) ) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X1] :
( ? [X4] :
( ~ p3(X4)
& r1(X1,X4) )
=> ( ~ p3(sK23(X1))
& r1(X1,sK23(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ! [X3] :
( ( ( ~ p1(X3)
| ~ p2(X3) )
& ( p2(X3)
| p1(X3) ) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p3(sK23(X1))
& r1(X1,sK23(X1))
& ! [X5] :
( ! [X6] :
( ( ( ~ p2(X6)
| ~ p3(X6) )
& ( p3(X6)
| p2(X6) ) )
| ~ r1(X5,X6) )
| ~ r1(X1,X5) ) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f67,f68]) ).
fof(f70,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(X5,X6) )
& r1(X4,X5) )
& r1(X3,X4) )
& r1(X2,X3) )
& r1(X1,X2) )
& r1(X0,X1) )
& ! [X17] :
( ( ! [X18] :
( ( sP11(X18)
& ? [X19] :
( ~ p15(X19)
& r1(X18,X19) )
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ( ( ~ p14(X33)
| ~ p15(X33) )
& ( p15(X33)
| p14(X33) ) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X18,X20) ) )
| ~ r1(X17,X18) )
& ? [X34] : r1(X17,X34)
& ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ( ( ~ p15(X49)
| ~ p1(X49) )
& ( p1(X49)
| p15(X49) ) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X17,X35) ) )
| ~ r1(X0,X17) )
& ? [X50] : r1(X0,X50)
& ? [X51] :
( ? [X52] :
( ? [X53] :
( ? [X54] :
( ? [X55] :
( ? [X56] :
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(X56,X57) )
& r1(X55,X56) )
& r1(X54,X55) )
& r1(X53,X54) )
& r1(X52,X53) )
& r1(X51,X52) )
& r1(X0,X51) ) ),
inference(rectify,[],[f21]) ).
fof(f71,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(X5,X6) )
& r1(X4,X5) )
& r1(X3,X4) )
& r1(X2,X3) )
& r1(X1,X2) )
& r1(X0,X1) )
& ! [X17] :
( ( ! [X18] :
( ( sP11(X18)
& ? [X19] :
( ~ p15(X19)
& r1(X18,X19) )
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ( ( ~ p14(X33)
| ~ p15(X33) )
& ( p15(X33)
| p14(X33) ) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X18,X20) ) )
| ~ r1(X17,X18) )
& ? [X34] : r1(X17,X34)
& ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ( ( ~ p15(X49)
| ~ p1(X49) )
& ( p1(X49)
| p15(X49) ) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X17,X35) ) )
| ~ r1(X0,X17) )
& ? [X50] : r1(X0,X50)
& ? [X51] :
( ? [X52] :
( ? [X53] :
( ? [X54] :
( ? [X55] :
( ? [X56] :
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(X56,X57) )
& r1(X55,X56) )
& r1(X54,X55) )
& r1(X53,X54) )
& r1(X52,X53) )
& r1(X51,X52) )
& r1(X0,X51) ) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(X5,X6) )
& r1(X4,X5) )
& r1(X3,X4) )
& r1(X2,X3) )
& r1(X1,X2) )
& r1(sK24,X1) )
& ! [X17] :
( ( ! [X18] :
( ( sP11(X18)
& ? [X19] :
( ~ p15(X19)
& r1(X18,X19) )
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ( ( ~ p14(X33)
| ~ p15(X33) )
& ( p15(X33)
| p14(X33) ) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X18,X20) ) )
| ~ r1(X17,X18) )
& ? [X34] : r1(X17,X34)
& ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ( ( ~ p15(X49)
| ~ p1(X49) )
& ( p1(X49)
| p15(X49) ) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X17,X35) ) )
| ~ r1(sK24,X17) )
& ? [X50] : r1(sK24,X50)
& ? [X51] :
( ? [X52] :
( ? [X53] :
( ? [X54] :
( ? [X55] :
( ? [X56] :
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(X56,X57) )
& r1(X55,X56) )
& r1(X54,X55) )
& r1(X53,X54) )
& r1(X52,X53) )
& r1(X51,X52) )
& r1(sK24,X51) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(X5,X6) )
& r1(X4,X5) )
& r1(X3,X4) )
& r1(X2,X3) )
& r1(X1,X2) )
& r1(sK24,X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(X5,X6) )
& r1(X4,X5) )
& r1(X3,X4) )
& r1(X2,X3) )
& r1(sK25,X2) )
& r1(sK24,sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(X5,X6) )
& r1(X4,X5) )
& r1(X3,X4) )
& r1(X2,X3) )
& r1(sK25,X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(X5,X6) )
& r1(X4,X5) )
& r1(X3,X4) )
& r1(sK26,X3) )
& r1(sK25,sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(X5,X6) )
& r1(X4,X5) )
& r1(X3,X4) )
& r1(sK26,X3) )
=> ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(X5,X6) )
& r1(X4,X5) )
& r1(sK27,X4) )
& r1(sK26,sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(X5,X6) )
& r1(X4,X5) )
& r1(sK27,X4) )
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(X5,X6) )
& r1(sK28,X5) )
& r1(sK27,sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(X5,X6) )
& r1(sK28,X5) )
=> ( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(sK29,X6) )
& r1(sK28,sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(X6,X7) )
& r1(sK29,X6) )
=> ( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(sK30,X7) )
& r1(sK29,sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(X7,X8) )
& r1(sK30,X7) )
=> ( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(sK31,X8) )
& r1(sK30,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(X8,X9) )
& r1(sK31,X8) )
=> ( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(sK32,X9) )
& r1(sK31,sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(X9,X10) )
& r1(sK32,X9) )
=> ( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(sK33,X10) )
& r1(sK32,sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X10,X11) )
& r1(sK33,X10) )
=> ( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(sK34,X11) )
& r1(sK33,sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(X11,X12) )
& r1(sK34,X11) )
=> ( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(sK35,X12) )
& r1(sK34,sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(X12,X13) )
& r1(sK35,X12) )
=> ( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(sK36,X13) )
& r1(sK35,sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ? [X13] :
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(X13,X14) )
& r1(sK36,X13) )
=> ( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(sK37,X14) )
& r1(sK36,sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X14] :
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(X14,X15) )
& r1(sK37,X14) )
=> ( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(sK38,X15) )
& r1(sK37,sK38) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X15] :
( ? [X16] : r1(X15,X16)
& r1(sK38,X15) )
=> ( ? [X16] : r1(sK39,X16)
& r1(sK38,sK39) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
( ? [X16] : r1(sK39,X16)
=> r1(sK39,sK40) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X18] :
( ? [X19] :
( ~ p15(X19)
& r1(X18,X19) )
=> ( ~ p15(sK41(X18))
& r1(X18,sK41(X18)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X17] :
( ? [X34] : r1(X17,X34)
=> r1(X17,sK42(X17)) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( ? [X50] : r1(sK24,X50)
=> r1(sK24,sK43) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
( ? [X51] :
( ? [X52] :
( ? [X53] :
( ? [X54] :
( ? [X55] :
( ? [X56] :
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(X56,X57) )
& r1(X55,X56) )
& r1(X54,X55) )
& r1(X53,X54) )
& r1(X52,X53) )
& r1(X51,X52) )
& r1(sK24,X51) )
=> ( ? [X52] :
( ? [X53] :
( ? [X54] :
( ? [X55] :
( ? [X56] :
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(X56,X57) )
& r1(X55,X56) )
& r1(X54,X55) )
& r1(X53,X54) )
& r1(X52,X53) )
& r1(sK44,X52) )
& r1(sK24,sK44) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
( ? [X52] :
( ? [X53] :
( ? [X54] :
( ? [X55] :
( ? [X56] :
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(X56,X57) )
& r1(X55,X56) )
& r1(X54,X55) )
& r1(X53,X54) )
& r1(X52,X53) )
& r1(sK44,X52) )
=> ( ? [X53] :
( ? [X54] :
( ? [X55] :
( ? [X56] :
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(X56,X57) )
& r1(X55,X56) )
& r1(X54,X55) )
& r1(X53,X54) )
& r1(sK45,X53) )
& r1(sK44,sK45) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ? [X53] :
( ? [X54] :
( ? [X55] :
( ? [X56] :
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(X56,X57) )
& r1(X55,X56) )
& r1(X54,X55) )
& r1(X53,X54) )
& r1(sK45,X53) )
=> ( ? [X54] :
( ? [X55] :
( ? [X56] :
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(X56,X57) )
& r1(X55,X56) )
& r1(X54,X55) )
& r1(sK46,X54) )
& r1(sK45,sK46) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
( ? [X54] :
( ? [X55] :
( ? [X56] :
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(X56,X57) )
& r1(X55,X56) )
& r1(X54,X55) )
& r1(sK46,X54) )
=> ( ? [X55] :
( ? [X56] :
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(X56,X57) )
& r1(X55,X56) )
& r1(sK47,X55) )
& r1(sK46,sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
( ? [X55] :
( ? [X56] :
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(X56,X57) )
& r1(X55,X56) )
& r1(sK47,X55) )
=> ( ? [X56] :
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(X56,X57) )
& r1(sK48,X56) )
& r1(sK47,sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ? [X56] :
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(X56,X57) )
& r1(sK48,X56) )
=> ( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(sK49,X57) )
& r1(sK48,sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ? [X57] :
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(X57,X58) )
& r1(sK49,X57) )
=> ( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(sK50,X58) )
& r1(sK49,sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ? [X58] :
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(X58,X59) )
& r1(sK50,X58) )
=> ( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(sK51,X59) )
& r1(sK50,sK51) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( ? [X59] :
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(X59,X60) )
& r1(sK51,X59) )
=> ( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(sK52,X60) )
& r1(sK51,sK52) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( ? [X60] :
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X60,X61) )
& r1(sK52,X60) )
=> ( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(sK53,X61) )
& r1(sK52,sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
( ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(sK53,X61) )
=> ( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(sK54,X62) )
& r1(sK53,sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(sK54,X62) )
=> ( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(sK55,X63) )
& r1(sK54,sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(X63,X64) )
& r1(sK55,X63) )
=> ( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(sK56,X64) )
& r1(sK55,sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
( ? [X64] :
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(X64,X65) )
& r1(sK56,X64) )
=> ( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(sK57,X65) )
& r1(sK56,sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ? [X65] :
( ? [X66] : r1(X65,X66)
& r1(sK57,X65) )
=> ( ? [X66] : r1(sK58,X66)
& r1(sK57,sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X66] : r1(sK58,X66)
=> r1(sK58,sK59) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( r1(sK39,sK40)
& r1(sK38,sK39)
& r1(sK37,sK38)
& r1(sK36,sK37)
& r1(sK35,sK36)
& r1(sK34,sK35)
& r1(sK33,sK34)
& r1(sK32,sK33)
& r1(sK31,sK32)
& r1(sK30,sK31)
& r1(sK29,sK30)
& r1(sK28,sK29)
& r1(sK27,sK28)
& r1(sK26,sK27)
& r1(sK25,sK26)
& r1(sK24,sK25)
& ! [X17] :
( ( ! [X18] :
( ( sP11(X18)
& ~ p15(sK41(X18))
& r1(X18,sK41(X18))
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ( ( ~ p14(X33)
| ~ p15(X33) )
& ( p15(X33)
| p14(X33) ) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X18,X20) ) )
| ~ r1(X17,X18) )
& r1(X17,sK42(X17))
& ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ( ( ~ p15(X49)
| ~ p1(X49) )
& ( p1(X49)
| p15(X49) ) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X17,X35) ) )
| ~ r1(sK24,X17) )
& r1(sK24,sK43)
& r1(sK58,sK59)
& r1(sK57,sK58)
& r1(sK56,sK57)
& r1(sK55,sK56)
& r1(sK54,sK55)
& r1(sK53,sK54)
& r1(sK52,sK53)
& r1(sK51,sK52)
& r1(sK50,sK51)
& r1(sK49,sK50)
& r1(sK48,sK49)
& r1(sK47,sK48)
& r1(sK46,sK47)
& r1(sK45,sK46)
& r1(sK44,sK45)
& r1(sK24,sK44) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59])],[f70,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71]) ).
fof(f108,plain,
! [X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( p14(X15)
| p13(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(X1,X3)
| ~ r1(X0,X1)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f109,plain,
! [X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( ~ p13(X15)
| ~ p14(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(X1,X3)
| ~ r1(X0,X1)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f112,plain,
! [X0,X1] :
( sP10(X1)
| ~ r1(X0,X1)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f113,plain,
! [X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( p13(X14)
| p12(X14)
| ~ 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(X1,X3)
| ~ r1(X0,X1)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f114,plain,
! [X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ p12(X14)
| ~ p13(X14)
| ~ 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(X1,X3)
| ~ r1(X0,X1)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f117,plain,
! [X0,X1] :
( sP9(X1)
| ~ r1(X0,X1)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f118,plain,
! [X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( p12(X13)
| p11(X13)
| ~ 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(X1,X3)
| ~ r1(X0,X1)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f119,plain,
! [X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ p11(X13)
| ~ p12(X13)
| ~ 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(X1,X3)
| ~ r1(X0,X1)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f122,plain,
! [X0,X1] :
( sP8(X1)
| ~ r1(X0,X1)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f123,plain,
! [X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( p11(X12)
| p10(X12)
| ~ 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(X1,X3)
| ~ r1(X0,X1)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f124,plain,
! [X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ p10(X12)
| ~ p11(X12)
| ~ 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(X1,X3)
| ~ r1(X0,X1)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f127,plain,
! [X0,X1] :
( sP7(X1)
| ~ r1(X0,X1)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f128,plain,
! [X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( p10(X11)
| p9(X11)
| ~ 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(X1,X3)
| ~ r1(X0,X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f129,plain,
! [X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ p9(X11)
| ~ p10(X11)
| ~ 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(X1,X3)
| ~ r1(X0,X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f132,plain,
! [X0,X1] :
( sP6(X1)
| ~ r1(X0,X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f133,plain,
! [X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( p9(X10)
| p8(X10)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f134,plain,
! [X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ p8(X10)
| ~ p9(X10)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f137,plain,
! [X0,X1] :
( sP5(X1)
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f138,plain,
! [X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( p8(X9)
| p7(X9)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f139,plain,
! [X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ p7(X9)
| ~ p8(X9)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f142,plain,
! [X0,X1] :
( sP4(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f143,plain,
! [X3,X0,X1,X8,X6,X7,X4,X5] :
( p7(X8)
| p6(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f144,plain,
! [X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ p6(X8)
| ~ p7(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f147,plain,
! [X0,X1] :
( sP3(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f148,plain,
! [X3,X0,X1,X6,X7,X4,X5] :
( p6(X7)
| p5(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f149,plain,
! [X3,X0,X1,X6,X7,X4,X5] :
( ~ p5(X7)
| ~ p6(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f152,plain,
! [X0,X1] :
( sP2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f153,plain,
! [X3,X0,X1,X6,X4,X5] :
( p5(X6)
| p4(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f154,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ p4(X6)
| ~ p5(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f157,plain,
! [X0,X1] :
( sP1(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f158,plain,
! [X3,X0,X1,X4,X5] :
( p4(X5)
| p3(X5)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f159,plain,
! [X3,X0,X1,X4,X5] :
( ~ p3(X5)
| ~ p4(X5)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f162,plain,
! [X0,X1] :
( sP0(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f163,plain,
! [X0,X1,X6,X5] :
( p3(X6)
| p2(X6)
| ~ r1(X5,X6)
| ~ r1(X1,X5)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f164,plain,
! [X0,X1,X6,X5] :
( ~ p2(X6)
| ~ p3(X6)
| ~ r1(X5,X6)
| ~ r1(X1,X5)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( p2(X3)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( ~ p1(X3)
| ~ p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f169,plain,
r1(sK24,sK44),
inference(cnf_transformation,[],[f107]) ).
fof(f170,plain,
r1(sK44,sK45),
inference(cnf_transformation,[],[f107]) ).
fof(f171,plain,
r1(sK45,sK46),
inference(cnf_transformation,[],[f107]) ).
fof(f172,plain,
r1(sK46,sK47),
inference(cnf_transformation,[],[f107]) ).
fof(f173,plain,
r1(sK47,sK48),
inference(cnf_transformation,[],[f107]) ).
fof(f174,plain,
r1(sK48,sK49),
inference(cnf_transformation,[],[f107]) ).
fof(f175,plain,
r1(sK49,sK50),
inference(cnf_transformation,[],[f107]) ).
fof(f176,plain,
r1(sK50,sK51),
inference(cnf_transformation,[],[f107]) ).
fof(f177,plain,
r1(sK51,sK52),
inference(cnf_transformation,[],[f107]) ).
fof(f178,plain,
r1(sK52,sK53),
inference(cnf_transformation,[],[f107]) ).
fof(f179,plain,
r1(sK53,sK54),
inference(cnf_transformation,[],[f107]) ).
fof(f180,plain,
r1(sK54,sK55),
inference(cnf_transformation,[],[f107]) ).
fof(f181,plain,
r1(sK55,sK56),
inference(cnf_transformation,[],[f107]) ).
fof(f182,plain,
r1(sK56,sK57),
inference(cnf_transformation,[],[f107]) ).
fof(f183,plain,
r1(sK57,sK58),
inference(cnf_transformation,[],[f107]) ).
fof(f184,plain,
r1(sK58,sK59),
inference(cnf_transformation,[],[f107]) ).
fof(f186,plain,
! [X40,X38,X41,X48,X46,X49,X39,X36,X47,X37,X44,X45,X17,X35,X42,X43] :
( p1(X49)
| p15(X49)
| ~ r1(X48,X49)
| ~ r1(X47,X48)
| ~ r1(X46,X47)
| ~ r1(X45,X46)
| ~ r1(X44,X45)
| ~ r1(X43,X44)
| ~ r1(X42,X43)
| ~ r1(X41,X42)
| ~ r1(X40,X41)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(X35,X36)
| ~ r1(X17,X35)
| ~ r1(sK24,X17) ),
inference(cnf_transformation,[],[f107]) ).
fof(f187,plain,
! [X40,X38,X41,X48,X46,X49,X39,X36,X47,X37,X44,X45,X17,X35,X42,X43] :
( ~ p15(X49)
| ~ p1(X49)
| ~ r1(X48,X49)
| ~ r1(X47,X48)
| ~ r1(X46,X47)
| ~ r1(X45,X46)
| ~ r1(X44,X45)
| ~ r1(X43,X44)
| ~ r1(X42,X43)
| ~ r1(X41,X42)
| ~ r1(X40,X41)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(X35,X36)
| ~ r1(X17,X35)
| ~ r1(sK24,X17) ),
inference(cnf_transformation,[],[f107]) ).
fof(f189,plain,
! [X20,X31,X21,X28,X29,X18,X26,X27,X17,X24,X22,X25,X32,X30,X33,X23] :
( p15(X33)
| p14(X33)
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(X30,X31)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(X27,X28)
| ~ r1(X26,X27)
| ~ r1(X25,X26)
| ~ r1(X24,X25)
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(X20,X21)
| ~ r1(X18,X20)
| ~ r1(X17,X18)
| ~ r1(sK24,X17) ),
inference(cnf_transformation,[],[f107]) ).
fof(f190,plain,
! [X20,X31,X21,X28,X29,X18,X26,X27,X17,X24,X22,X25,X32,X30,X33,X23] :
( ~ p14(X33)
| ~ p15(X33)
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(X30,X31)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(X27,X28)
| ~ r1(X26,X27)
| ~ r1(X25,X26)
| ~ r1(X24,X25)
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(X20,X21)
| ~ r1(X18,X20)
| ~ r1(X17,X18)
| ~ r1(sK24,X17) ),
inference(cnf_transformation,[],[f107]) ).
fof(f193,plain,
! [X18,X17] :
( sP11(X18)
| ~ r1(X17,X18)
| ~ r1(sK24,X17) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_49,plain,
( ~ r1(X0,X1)
| ~ sP11(X0)
| sP10(X1) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_52,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X14)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ sP11(X2)
| ~ p14(X4)
| ~ p13(X4) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_53,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X14)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ sP11(X2)
| p14(X4)
| p13(X4) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_54,plain,
( ~ r1(X0,X1)
| ~ sP10(X0)
| sP9(X1) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_57,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X13)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ sP10(X2)
| ~ p13(X4)
| ~ p12(X4) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_58,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X13)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ sP10(X2)
| p13(X4)
| p12(X4) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_59,plain,
( ~ r1(X0,X1)
| ~ sP9(X0)
| sP8(X1) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_62,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X12)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ sP9(X2)
| ~ p12(X4)
| ~ p11(X4) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_63,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X12)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ sP9(X2)
| p12(X4)
| p11(X4) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_64,plain,
( ~ r1(X0,X1)
| ~ sP8(X0)
| sP7(X1) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_67,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X11)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ sP8(X2)
| ~ p11(X4)
| ~ p10(X4) ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_68,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X11)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ sP8(X2)
| p11(X4)
| p10(X4) ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_69,plain,
( ~ r1(X0,X1)
| ~ sP7(X0)
| sP6(X1) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_72,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X10)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ sP7(X2)
| ~ p10(X4)
| ~ p9(X4) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_73,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X10)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ sP7(X2)
| p10(X4)
| p9(X4) ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_74,plain,
( ~ r1(X0,X1)
| ~ sP6(X0)
| sP5(X1) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_77,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X9)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ sP6(X2)
| ~ p9(X4)
| ~ p8(X4) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_78,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X9)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ sP6(X2)
| p9(X4)
| p8(X4) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_79,plain,
( ~ r1(X0,X1)
| ~ sP5(X0)
| sP4(X1) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_82,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X8)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ sP5(X2)
| ~ p8(X4)
| ~ p7(X4) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_83,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X8)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ sP5(X2)
| p8(X4)
| p7(X4) ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_84,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| sP3(X1) ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_87,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X7)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ sP4(X2)
| ~ p7(X4)
| ~ p6(X4) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_88,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X7)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ sP4(X2)
| p7(X4)
| p6(X4) ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_89,plain,
( ~ r1(X0,X1)
| ~ sP3(X0)
| sP2(X1) ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_92,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X6)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ sP3(X2)
| ~ p6(X4)
| ~ p5(X4) ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_93,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X6)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ sP3(X2)
| p6(X4)
| p5(X4) ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_94,plain,
( ~ r1(X0,X1)
| ~ sP2(X0)
| sP1(X1) ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_97,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X5)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ sP2(X2)
| ~ p5(X4)
| ~ p4(X4) ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_98,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X5)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ sP2(X2)
| p5(X4)
| p4(X4) ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_99,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| sP0(X1) ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_102,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X3)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ sP1(X2)
| ~ p4(X4)
| ~ p3(X4) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_103,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X3)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ sP1(X2)
| p4(X4)
| p3(X4) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_104,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X3)
| ~ r1(X2,X0)
| ~ sP0(X2)
| ~ p1(X3)
| ~ p2(X3) ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_105,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X3)
| ~ r1(X2,X0)
| ~ sP0(X2)
| p1(X3)
| p2(X3) ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_108,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X3)
| ~ r1(X2,X0)
| ~ sP0(X2)
| ~ p3(X3)
| ~ p2(X3) ),
inference(cnf_transformation,[],[f164]) ).
cnf(c_109,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X3)
| ~ r1(X2,X0)
| ~ sP0(X2)
| p3(X3)
| p2(X3) ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_126,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK24,X0)
| sP11(X1) ),
inference(cnf_transformation,[],[f193]) ).
cnf(c_129,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X15)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(sK24,X2)
| ~ p14(X4)
| ~ p15(X4) ),
inference(cnf_transformation,[],[f190]) ).
cnf(c_130,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X15)
| ~ r1(X2,X0)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(sK24,X2)
| p14(X4)
| p15(X4) ),
inference(cnf_transformation,[],[f189]) ).
cnf(c_132,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X15)
| ~ r1(X2,X3)
| ~ r1(X4,X2)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(sK24,X0)
| ~ p1(X3)
| ~ p15(X3) ),
inference(cnf_transformation,[],[f187]) ).
cnf(c_133,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X15)
| ~ r1(X2,X3)
| ~ r1(X4,X2)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(sK24,X0)
| p1(X3)
| p15(X3) ),
inference(cnf_transformation,[],[f186]) ).
cnf(c_135,negated_conjecture,
r1(sK58,sK59),
inference(cnf_transformation,[],[f184]) ).
cnf(c_136,negated_conjecture,
r1(sK57,sK58),
inference(cnf_transformation,[],[f183]) ).
cnf(c_137,negated_conjecture,
r1(sK56,sK57),
inference(cnf_transformation,[],[f182]) ).
cnf(c_138,negated_conjecture,
r1(sK55,sK56),
inference(cnf_transformation,[],[f181]) ).
cnf(c_139,negated_conjecture,
r1(sK54,sK55),
inference(cnf_transformation,[],[f180]) ).
cnf(c_140,negated_conjecture,
r1(sK53,sK54),
inference(cnf_transformation,[],[f179]) ).
cnf(c_141,negated_conjecture,
r1(sK52,sK53),
inference(cnf_transformation,[],[f178]) ).
cnf(c_142,negated_conjecture,
r1(sK51,sK52),
inference(cnf_transformation,[],[f177]) ).
cnf(c_143,negated_conjecture,
r1(sK50,sK51),
inference(cnf_transformation,[],[f176]) ).
cnf(c_144,negated_conjecture,
r1(sK49,sK50),
inference(cnf_transformation,[],[f175]) ).
cnf(c_145,negated_conjecture,
r1(sK48,sK49),
inference(cnf_transformation,[],[f174]) ).
cnf(c_146,negated_conjecture,
r1(sK47,sK48),
inference(cnf_transformation,[],[f173]) ).
cnf(c_147,negated_conjecture,
r1(sK46,sK47),
inference(cnf_transformation,[],[f172]) ).
cnf(c_148,negated_conjecture,
r1(sK45,sK46),
inference(cnf_transformation,[],[f171]) ).
cnf(c_149,negated_conjecture,
r1(sK44,sK45),
inference(cnf_transformation,[],[f170]) ).
cnf(c_150,negated_conjecture,
r1(sK24,sK44),
inference(cnf_transformation,[],[f169]) ).
cnf(c_4696,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP11(X2)
| ~ sP0_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_52]) ).
cnf(c_4697,plain,
( ~ r1(X0,X1)
| sP0_iProver_split(X0)
| ~ sP1_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_52]) ).
cnf(c_4698,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p13(X1)
| ~ p14(X1)
| ~ sP2_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_52]) ).
cnf(c_4699,plain,
( ~ r1(X0,X1)
| sP2_iProver_split(X1)
| ~ sP3_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_52]) ).
cnf(c_4700,plain,
( ~ r1(X0,X1)
| sP3_iProver_split(X1)
| ~ sP4_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_52]) ).
cnf(c_4701,plain,
( ~ r1(X0,X1)
| sP4_iProver_split(X1)
| ~ sP5_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_52]) ).
cnf(c_4702,plain,
( ~ r1(X0,X1)
| sP5_iProver_split(X1)
| ~ sP6_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_52]) ).
cnf(c_4703,plain,
( ~ r1(X0,X1)
| sP6_iProver_split(X1)
| ~ sP7_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_52]) ).
cnf(c_4704,plain,
( ~ r1(X0,X1)
| sP7_iProver_split(X1)
| ~ sP8_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_52]) ).
cnf(c_4705,plain,
( ~ r1(X0,X1)
| sP8_iProver_split(X1)
| ~ sP9_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_52]) ).
cnf(c_4706,plain,
( ~ r1(X0,X1)
| sP9_iProver_split(X1)
| ~ sP10_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_52]) ).
cnf(c_4707,plain,
( ~ r1(X0,X1)
| sP1_iProver_split(X0)
| sP10_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_52]) ).
cnf(c_4717,plain,
( ~ r1(X0,X1)
| ~ sP2_iProver_split(X0)
| ~ sP11_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_4698]) ).
cnf(c_4718,plain,
( ~ r1(X0,X1)
| ~ p14(X1)
| ~ p13(X1)
| sP11_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4698]) ).
cnf(c_4722,plain,
( ~ r1(X0,X1)
| ~ sP0_iProver_split(X1)
| ~ sP12_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_4696]) ).
cnf(c_4723,plain,
( ~ r1(X0,X1)
| ~ sP11(X0)
| sP12_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4696]) ).
cnf(c_4726,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| p13(X1)
| p14(X1)
| ~ sP13_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_53]) ).
cnf(c_4727,plain,
( ~ r1(X0,X1)
| sP13_iProver_split(X1)
| ~ sP14_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_53]) ).
cnf(c_4728,plain,
( ~ r1(X0,X1)
| sP14_iProver_split(X1)
| ~ sP15_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_53]) ).
cnf(c_4729,plain,
( ~ r1(X0,X1)
| sP15_iProver_split(X1)
| ~ sP16_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_53]) ).
cnf(c_4730,plain,
( ~ r1(X0,X1)
| sP16_iProver_split(X1)
| ~ sP17_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_53]) ).
cnf(c_4731,plain,
( ~ r1(X0,X1)
| sP17_iProver_split(X1)
| ~ sP18_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_53]) ).
cnf(c_4732,plain,
( ~ r1(X0,X1)
| sP18_iProver_split(X1)
| ~ sP19_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_53]) ).
cnf(c_4733,plain,
( ~ r1(X0,X1)
| sP19_iProver_split(X1)
| ~ sP20_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_53]) ).
cnf(c_4734,plain,
( ~ r1(X0,X1)
| sP20_iProver_split(X1)
| ~ sP21_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_53]) ).
cnf(c_4735,plain,
( ~ r1(X0,X1)
| sP1_iProver_split(X0)
| sP21_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_53]) ).
cnf(c_4745,plain,
( ~ r1(X0,X1)
| ~ sP13_iProver_split(X0)
| ~ sP22_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_4726]) ).
cnf(c_4746,plain,
( ~ r1(X0,X1)
| p14(X1)
| p13(X1)
| sP22_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4726]) ).
cnf(c_4756,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP10(X2)
| ~ sP23_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_57]) ).
cnf(c_4757,plain,
( ~ r1(X0,X1)
| sP23_iProver_split(X0)
| ~ sP24_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_57]) ).
cnf(c_4758,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p12(X1)
| ~ p13(X1)
| ~ sP25_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_57]) ).
cnf(c_4759,plain,
( ~ r1(X0,X1)
| sP25_iProver_split(X1)
| ~ sP26_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_split])],[c_57]) ).
cnf(c_4760,plain,
( ~ r1(X0,X1)
| sP26_iProver_split(X1)
| ~ sP27_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_split])],[c_57]) ).
cnf(c_4761,plain,
( ~ r1(X0,X1)
| sP27_iProver_split(X1)
| ~ sP28_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_57]) ).
cnf(c_4762,plain,
( ~ r1(X0,X1)
| sP28_iProver_split(X1)
| ~ sP29_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_split])],[c_57]) ).
cnf(c_4763,plain,
( ~ r1(X0,X1)
| sP29_iProver_split(X1)
| ~ sP30_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_split])],[c_57]) ).
cnf(c_4764,plain,
( ~ r1(X0,X1)
| sP30_iProver_split(X1)
| ~ sP31_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP31_iProver_split])],[c_57]) ).
cnf(c_4765,plain,
( ~ r1(X0,X1)
| sP31_iProver_split(X1)
| ~ sP32_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP32_iProver_split])],[c_57]) ).
cnf(c_4766,plain,
( ~ r1(X0,X1)
| sP24_iProver_split(X0)
| sP32_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_57]) ).
cnf(c_4775,plain,
( ~ r1(X0,X1)
| ~ sP25_iProver_split(X0)
| ~ sP33_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP33_iProver_split])],[c_4758]) ).
cnf(c_4776,plain,
( ~ r1(X0,X1)
| ~ p13(X1)
| ~ p12(X1)
| sP33_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4758]) ).
cnf(c_4780,plain,
( ~ r1(X0,X1)
| ~ sP23_iProver_split(X1)
| ~ sP34_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP34_iProver_split])],[c_4756]) ).
cnf(c_4781,plain,
( ~ r1(X0,X1)
| ~ sP10(X0)
| sP34_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4756]) ).
cnf(c_4784,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| p12(X1)
| p13(X1)
| ~ sP35_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP35_iProver_split])],[c_58]) ).
cnf(c_4785,plain,
( ~ r1(X0,X1)
| sP35_iProver_split(X1)
| ~ sP36_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP36_iProver_split])],[c_58]) ).
cnf(c_4786,plain,
( ~ r1(X0,X1)
| sP36_iProver_split(X1)
| ~ sP37_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP37_iProver_split])],[c_58]) ).
cnf(c_4787,plain,
( ~ r1(X0,X1)
| sP37_iProver_split(X1)
| ~ sP38_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP38_iProver_split])],[c_58]) ).
cnf(c_4788,plain,
( ~ r1(X0,X1)
| sP38_iProver_split(X1)
| ~ sP39_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP39_iProver_split])],[c_58]) ).
cnf(c_4789,plain,
( ~ r1(X0,X1)
| sP39_iProver_split(X1)
| ~ sP40_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP40_iProver_split])],[c_58]) ).
cnf(c_4790,plain,
( ~ r1(X0,X1)
| sP40_iProver_split(X1)
| ~ sP41_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP41_iProver_split])],[c_58]) ).
cnf(c_4791,plain,
( ~ r1(X0,X1)
| sP41_iProver_split(X1)
| ~ sP42_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP42_iProver_split])],[c_58]) ).
cnf(c_4792,plain,
( ~ r1(X0,X1)
| sP24_iProver_split(X0)
| sP42_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_58]) ).
cnf(c_4801,plain,
( ~ r1(X0,X1)
| ~ sP35_iProver_split(X0)
| ~ sP43_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP43_iProver_split])],[c_4784]) ).
cnf(c_4802,plain,
( ~ r1(X0,X1)
| p13(X1)
| p12(X1)
| sP43_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4784]) ).
cnf(c_4812,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP9(X2)
| ~ sP44_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP44_iProver_split])],[c_62]) ).
cnf(c_4813,plain,
( ~ r1(X0,X1)
| sP44_iProver_split(X0)
| ~ sP45_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP45_iProver_split])],[c_62]) ).
cnf(c_4814,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p11(X1)
| ~ p12(X1)
| ~ sP46_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP46_iProver_split])],[c_62]) ).
cnf(c_4815,plain,
( ~ r1(X0,X1)
| sP46_iProver_split(X1)
| ~ sP47_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP47_iProver_split])],[c_62]) ).
cnf(c_4816,plain,
( ~ r1(X0,X1)
| sP47_iProver_split(X1)
| ~ sP48_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP48_iProver_split])],[c_62]) ).
cnf(c_4817,plain,
( ~ r1(X0,X1)
| sP48_iProver_split(X1)
| ~ sP49_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP49_iProver_split])],[c_62]) ).
cnf(c_4818,plain,
( ~ r1(X0,X1)
| sP49_iProver_split(X1)
| ~ sP50_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP50_iProver_split])],[c_62]) ).
cnf(c_4819,plain,
( ~ r1(X0,X1)
| sP50_iProver_split(X1)
| ~ sP51_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP51_iProver_split])],[c_62]) ).
cnf(c_4820,plain,
( ~ r1(X0,X1)
| sP51_iProver_split(X1)
| ~ sP52_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP52_iProver_split])],[c_62]) ).
cnf(c_4821,plain,
( ~ r1(X0,X1)
| sP45_iProver_split(X0)
| sP52_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_62]) ).
cnf(c_4829,plain,
( ~ r1(X0,X1)
| ~ sP46_iProver_split(X0)
| ~ sP53_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP53_iProver_split])],[c_4814]) ).
cnf(c_4830,plain,
( ~ r1(X0,X1)
| ~ p12(X1)
| ~ p11(X1)
| sP53_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4814]) ).
cnf(c_4834,plain,
( ~ r1(X0,X1)
| ~ sP44_iProver_split(X1)
| ~ sP54_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP54_iProver_split])],[c_4812]) ).
cnf(c_4835,plain,
( ~ r1(X0,X1)
| ~ sP9(X0)
| sP54_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4812]) ).
cnf(c_4838,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| p11(X1)
| p12(X1)
| ~ sP55_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP55_iProver_split])],[c_63]) ).
cnf(c_4839,plain,
( ~ r1(X0,X1)
| sP55_iProver_split(X1)
| ~ sP56_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP56_iProver_split])],[c_63]) ).
cnf(c_4840,plain,
( ~ r1(X0,X1)
| sP56_iProver_split(X1)
| ~ sP57_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP57_iProver_split])],[c_63]) ).
cnf(c_4841,plain,
( ~ r1(X0,X1)
| sP57_iProver_split(X1)
| ~ sP58_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP58_iProver_split])],[c_63]) ).
cnf(c_4842,plain,
( ~ r1(X0,X1)
| sP58_iProver_split(X1)
| ~ sP59_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP59_iProver_split])],[c_63]) ).
cnf(c_4843,plain,
( ~ r1(X0,X1)
| sP59_iProver_split(X1)
| ~ sP60_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP60_iProver_split])],[c_63]) ).
cnf(c_4844,plain,
( ~ r1(X0,X1)
| sP60_iProver_split(X1)
| ~ sP61_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP61_iProver_split])],[c_63]) ).
cnf(c_4845,plain,
( ~ r1(X0,X1)
| sP45_iProver_split(X0)
| sP61_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_63]) ).
cnf(c_4853,plain,
( ~ r1(X0,X1)
| ~ sP55_iProver_split(X0)
| ~ sP62_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP62_iProver_split])],[c_4838]) ).
cnf(c_4854,plain,
( ~ r1(X0,X1)
| p12(X1)
| p11(X1)
| sP62_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4838]) ).
cnf(c_4864,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP8(X2)
| ~ sP63_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP63_iProver_split])],[c_67]) ).
cnf(c_4865,plain,
( ~ r1(X0,X1)
| sP63_iProver_split(X0)
| ~ sP64_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP64_iProver_split])],[c_67]) ).
cnf(c_4866,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p10(X1)
| ~ p11(X1)
| ~ sP65_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP65_iProver_split])],[c_67]) ).
cnf(c_4867,plain,
( ~ r1(X0,X1)
| sP65_iProver_split(X1)
| ~ sP66_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP66_iProver_split])],[c_67]) ).
cnf(c_4868,plain,
( ~ r1(X0,X1)
| sP66_iProver_split(X1)
| ~ sP67_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP67_iProver_split])],[c_67]) ).
cnf(c_4869,plain,
( ~ r1(X0,X1)
| sP67_iProver_split(X1)
| ~ sP68_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP68_iProver_split])],[c_67]) ).
cnf(c_4870,plain,
( ~ r1(X0,X1)
| sP68_iProver_split(X1)
| ~ sP69_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP69_iProver_split])],[c_67]) ).
cnf(c_4871,plain,
( ~ r1(X0,X1)
| sP69_iProver_split(X1)
| ~ sP70_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP70_iProver_split])],[c_67]) ).
cnf(c_4872,plain,
( ~ r1(X0,X1)
| sP64_iProver_split(X0)
| sP70_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_67]) ).
cnf(c_4879,plain,
( ~ r1(X0,X1)
| ~ sP65_iProver_split(X0)
| ~ sP71_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP71_iProver_split])],[c_4866]) ).
cnf(c_4880,plain,
( ~ r1(X0,X1)
| ~ p11(X1)
| ~ p10(X1)
| sP71_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4866]) ).
cnf(c_4884,plain,
( ~ r1(X0,X1)
| ~ sP63_iProver_split(X1)
| ~ sP72_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP72_iProver_split])],[c_4864]) ).
cnf(c_4885,plain,
( ~ r1(X0,X1)
| ~ sP8(X0)
| sP72_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4864]) ).
cnf(c_4888,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| p10(X1)
| p11(X1)
| ~ sP73_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP73_iProver_split])],[c_68]) ).
cnf(c_4889,plain,
( ~ r1(X0,X1)
| sP73_iProver_split(X1)
| ~ sP74_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP74_iProver_split])],[c_68]) ).
cnf(c_4890,plain,
( ~ r1(X0,X1)
| sP74_iProver_split(X1)
| ~ sP75_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP75_iProver_split])],[c_68]) ).
cnf(c_4891,plain,
( ~ r1(X0,X1)
| sP75_iProver_split(X1)
| ~ sP76_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP76_iProver_split])],[c_68]) ).
cnf(c_4892,plain,
( ~ r1(X0,X1)
| sP76_iProver_split(X1)
| ~ sP77_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP77_iProver_split])],[c_68]) ).
cnf(c_4893,plain,
( ~ r1(X0,X1)
| sP77_iProver_split(X1)
| ~ sP78_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP78_iProver_split])],[c_68]) ).
cnf(c_4894,plain,
( ~ r1(X0,X1)
| sP64_iProver_split(X0)
| sP78_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_68]) ).
cnf(c_4901,plain,
( ~ r1(X0,X1)
| ~ sP73_iProver_split(X0)
| ~ sP79_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP79_iProver_split])],[c_4888]) ).
cnf(c_4902,plain,
( ~ r1(X0,X1)
| p11(X1)
| p10(X1)
| sP79_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4888]) ).
cnf(c_4912,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP7(X2)
| ~ sP80_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP80_iProver_split])],[c_72]) ).
cnf(c_4913,plain,
( ~ r1(X0,X1)
| sP80_iProver_split(X0)
| ~ sP81_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP81_iProver_split])],[c_72]) ).
cnf(c_4914,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p9(X1)
| ~ p10(X1)
| ~ sP82_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP82_iProver_split])],[c_72]) ).
cnf(c_4915,plain,
( ~ r1(X0,X1)
| sP82_iProver_split(X1)
| ~ sP83_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP83_iProver_split])],[c_72]) ).
cnf(c_4916,plain,
( ~ r1(X0,X1)
| sP83_iProver_split(X1)
| ~ sP84_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP84_iProver_split])],[c_72]) ).
cnf(c_4917,plain,
( ~ r1(X0,X1)
| sP84_iProver_split(X1)
| ~ sP85_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP85_iProver_split])],[c_72]) ).
cnf(c_4918,plain,
( ~ r1(X0,X1)
| sP85_iProver_split(X1)
| ~ sP86_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP86_iProver_split])],[c_72]) ).
cnf(c_4919,plain,
( ~ r1(X0,X1)
| sP81_iProver_split(X0)
| sP86_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_72]) ).
cnf(c_4925,plain,
( ~ r1(X0,X1)
| ~ sP82_iProver_split(X0)
| ~ sP87_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP87_iProver_split])],[c_4914]) ).
cnf(c_4926,plain,
( ~ r1(X0,X1)
| ~ p10(X1)
| ~ p9(X1)
| sP87_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4914]) ).
cnf(c_4930,plain,
( ~ r1(X0,X1)
| ~ sP80_iProver_split(X1)
| ~ sP88_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP88_iProver_split])],[c_4912]) ).
cnf(c_4931,plain,
( ~ r1(X0,X1)
| ~ sP7(X0)
| sP88_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4912]) ).
cnf(c_4934,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| p9(X1)
| p10(X1)
| ~ sP89_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP89_iProver_split])],[c_73]) ).
cnf(c_4935,plain,
( ~ r1(X0,X1)
| sP89_iProver_split(X1)
| ~ sP90_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP90_iProver_split])],[c_73]) ).
cnf(c_4936,plain,
( ~ r1(X0,X1)
| sP90_iProver_split(X1)
| ~ sP91_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP91_iProver_split])],[c_73]) ).
cnf(c_4937,plain,
( ~ r1(X0,X1)
| sP91_iProver_split(X1)
| ~ sP92_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP92_iProver_split])],[c_73]) ).
cnf(c_4938,plain,
( ~ r1(X0,X1)
| sP92_iProver_split(X1)
| ~ sP93_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP93_iProver_split])],[c_73]) ).
cnf(c_4939,plain,
( ~ r1(X0,X1)
| sP81_iProver_split(X0)
| sP93_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_73]) ).
cnf(c_4945,plain,
( ~ r1(X0,X1)
| ~ sP89_iProver_split(X0)
| ~ sP94_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP94_iProver_split])],[c_4934]) ).
cnf(c_4946,plain,
( ~ r1(X0,X1)
| p10(X1)
| p9(X1)
| sP94_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4934]) ).
cnf(c_4956,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP6(X2)
| ~ sP95_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP95_iProver_split])],[c_77]) ).
cnf(c_4957,plain,
( ~ r1(X0,X1)
| sP95_iProver_split(X0)
| ~ sP96_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP96_iProver_split])],[c_77]) ).
cnf(c_4958,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p8(X1)
| ~ p9(X1)
| ~ sP97_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP97_iProver_split])],[c_77]) ).
cnf(c_4959,plain,
( ~ r1(X0,X1)
| sP97_iProver_split(X1)
| ~ sP98_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP98_iProver_split])],[c_77]) ).
cnf(c_4960,plain,
( ~ r1(X0,X1)
| sP98_iProver_split(X1)
| ~ sP99_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP99_iProver_split])],[c_77]) ).
cnf(c_4961,plain,
( ~ r1(X0,X1)
| sP99_iProver_split(X1)
| ~ sP100_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP100_iProver_split])],[c_77]) ).
cnf(c_4962,plain,
( ~ r1(X0,X1)
| sP96_iProver_split(X0)
| sP100_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_77]) ).
cnf(c_4967,plain,
( ~ r1(X0,X1)
| ~ sP97_iProver_split(X0)
| ~ sP101_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP101_iProver_split])],[c_4958]) ).
cnf(c_4968,plain,
( ~ r1(X0,X1)
| ~ p9(X1)
| ~ p8(X1)
| sP101_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4958]) ).
cnf(c_4972,plain,
( ~ r1(X0,X1)
| ~ sP95_iProver_split(X1)
| ~ sP102_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP102_iProver_split])],[c_4956]) ).
cnf(c_4973,plain,
( ~ r1(X0,X1)
| ~ sP6(X0)
| sP102_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4956]) ).
cnf(c_4976,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| p8(X1)
| p9(X1)
| ~ sP103_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP103_iProver_split])],[c_78]) ).
cnf(c_4977,plain,
( ~ r1(X0,X1)
| sP103_iProver_split(X1)
| ~ sP104_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP104_iProver_split])],[c_78]) ).
cnf(c_4978,plain,
( ~ r1(X0,X1)
| sP104_iProver_split(X1)
| ~ sP105_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP105_iProver_split])],[c_78]) ).
cnf(c_4979,plain,
( ~ r1(X0,X1)
| sP105_iProver_split(X1)
| ~ sP106_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP106_iProver_split])],[c_78]) ).
cnf(c_4980,plain,
( ~ r1(X0,X1)
| sP96_iProver_split(X0)
| sP106_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_78]) ).
cnf(c_4985,plain,
( ~ r1(X0,X1)
| ~ sP103_iProver_split(X0)
| ~ sP107_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP107_iProver_split])],[c_4976]) ).
cnf(c_4986,plain,
( ~ r1(X0,X1)
| p9(X1)
| p8(X1)
| sP107_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4976]) ).
cnf(c_4996,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP5(X2)
| ~ sP108_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP108_iProver_split])],[c_82]) ).
cnf(c_4997,plain,
( ~ r1(X0,X1)
| sP108_iProver_split(X0)
| ~ sP109_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP109_iProver_split])],[c_82]) ).
cnf(c_4998,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p7(X1)
| ~ p8(X1)
| ~ sP110_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP110_iProver_split])],[c_82]) ).
cnf(c_4999,plain,
( ~ r1(X0,X1)
| sP110_iProver_split(X1)
| ~ sP111_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP111_iProver_split])],[c_82]) ).
cnf(c_5000,plain,
( ~ r1(X0,X1)
| sP111_iProver_split(X1)
| ~ sP112_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP112_iProver_split])],[c_82]) ).
cnf(c_5001,plain,
( ~ r1(X0,X1)
| sP109_iProver_split(X0)
| sP112_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82]) ).
cnf(c_5005,plain,
( ~ r1(X0,X1)
| ~ sP110_iProver_split(X0)
| ~ sP113_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP113_iProver_split])],[c_4998]) ).
cnf(c_5006,plain,
( ~ r1(X0,X1)
| ~ p8(X1)
| ~ p7(X1)
| sP113_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4998]) ).
cnf(c_5010,plain,
( ~ r1(X0,X1)
| ~ sP108_iProver_split(X1)
| ~ sP114_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP114_iProver_split])],[c_4996]) ).
cnf(c_5011,plain,
( ~ r1(X0,X1)
| ~ sP5(X0)
| sP114_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4996]) ).
cnf(c_5014,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| p7(X1)
| p8(X1)
| ~ sP115_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP115_iProver_split])],[c_83]) ).
cnf(c_5015,plain,
( ~ r1(X0,X1)
| sP115_iProver_split(X1)
| ~ sP116_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP116_iProver_split])],[c_83]) ).
cnf(c_5016,plain,
( ~ r1(X0,X1)
| sP116_iProver_split(X1)
| ~ sP117_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP117_iProver_split])],[c_83]) ).
cnf(c_5017,plain,
( ~ r1(X0,X1)
| sP109_iProver_split(X0)
| sP117_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_5021,plain,
( ~ r1(X0,X1)
| ~ sP115_iProver_split(X0)
| ~ sP118_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP118_iProver_split])],[c_5014]) ).
cnf(c_5022,plain,
( ~ r1(X0,X1)
| p8(X1)
| p7(X1)
| sP118_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5014]) ).
cnf(c_5032,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP4(X2)
| ~ sP119_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP119_iProver_split])],[c_87]) ).
cnf(c_5033,plain,
( ~ r1(X0,X1)
| sP119_iProver_split(X0)
| ~ sP120_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP120_iProver_split])],[c_87]) ).
cnf(c_5034,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p6(X1)
| ~ p7(X1)
| ~ sP121_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP121_iProver_split])],[c_87]) ).
cnf(c_5035,plain,
( ~ r1(X0,X1)
| sP121_iProver_split(X1)
| ~ sP122_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP122_iProver_split])],[c_87]) ).
cnf(c_5036,plain,
( ~ r1(X0,X1)
| sP120_iProver_split(X0)
| sP122_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_87]) ).
cnf(c_5039,plain,
( ~ r1(X0,X1)
| ~ sP121_iProver_split(X0)
| ~ sP123_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP123_iProver_split])],[c_5034]) ).
cnf(c_5040,plain,
( ~ r1(X0,X1)
| ~ p7(X1)
| ~ p6(X1)
| sP123_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5034]) ).
cnf(c_5044,plain,
( ~ r1(X0,X1)
| ~ sP119_iProver_split(X1)
| ~ sP124_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP124_iProver_split])],[c_5032]) ).
cnf(c_5045,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| sP124_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5032]) ).
cnf(c_5048,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| p6(X1)
| p7(X1)
| ~ sP125_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP125_iProver_split])],[c_88]) ).
cnf(c_5049,plain,
( ~ r1(X0,X1)
| sP125_iProver_split(X1)
| ~ sP126_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP126_iProver_split])],[c_88]) ).
cnf(c_5050,plain,
( ~ r1(X0,X1)
| sP120_iProver_split(X0)
| sP126_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_88]) ).
cnf(c_5053,plain,
( ~ r1(X0,X1)
| ~ sP125_iProver_split(X0)
| ~ sP127_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP127_iProver_split])],[c_5048]) ).
cnf(c_5054,plain,
( ~ r1(X0,X1)
| p7(X1)
| p6(X1)
| sP127_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5048]) ).
cnf(c_5064,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP3(X2)
| ~ sP128_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP128_iProver_split])],[c_92]) ).
cnf(c_5065,plain,
( ~ r1(X0,X1)
| sP128_iProver_split(X0)
| ~ sP129_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP129_iProver_split])],[c_92]) ).
cnf(c_5066,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p5(X1)
| ~ p6(X1)
| ~ sP130_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP130_iProver_split])],[c_92]) ).
cnf(c_5067,plain,
( ~ r1(X0,X1)
| sP129_iProver_split(X0)
| sP130_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_92]) ).
cnf(c_5069,plain,
( ~ r1(X0,X1)
| ~ sP130_iProver_split(X0)
| ~ sP131_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP131_iProver_split])],[c_5066]) ).
cnf(c_5070,plain,
( ~ r1(X0,X1)
| ~ p6(X1)
| ~ p5(X1)
| sP131_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5066]) ).
cnf(c_5074,plain,
( ~ r1(X0,X1)
| ~ sP128_iProver_split(X1)
| ~ sP132_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP132_iProver_split])],[c_5064]) ).
cnf(c_5075,plain,
( ~ r1(X0,X1)
| ~ sP3(X0)
| sP132_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5064]) ).
cnf(c_5078,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| p5(X1)
| p6(X1)
| ~ sP133_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP133_iProver_split])],[c_93]) ).
cnf(c_5079,plain,
( ~ r1(X0,X1)
| sP129_iProver_split(X0)
| sP133_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_93]) ).
cnf(c_5081,plain,
( ~ r1(X0,X1)
| ~ sP133_iProver_split(X0)
| ~ sP134_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP134_iProver_split])],[c_5078]) ).
cnf(c_5082,plain,
( ~ r1(X0,X1)
| p6(X1)
| p5(X1)
| sP134_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5078]) ).
cnf(c_5092,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP2(X2)
| ~ sP135_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP135_iProver_split])],[c_97]) ).
cnf(c_5093,plain,
( ~ r1(X0,X1)
| sP135_iProver_split(X0)
| ~ sP136_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP136_iProver_split])],[c_97]) ).
cnf(c_5094,plain,
( ~ r1(X0,X1)
| sP136_iProver_split(X0)
| ~ sP137_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP137_iProver_split])],[c_97]) ).
cnf(c_5095,plain,
( ~ r1(X0,X1)
| ~ p5(X1)
| ~ p4(X1)
| sP137_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_97]) ).
cnf(c_5099,plain,
( ~ r1(X0,X1)
| ~ sP135_iProver_split(X1)
| ~ sP138_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP138_iProver_split])],[c_5092]) ).
cnf(c_5100,plain,
( ~ r1(X0,X1)
| ~ sP2(X0)
| sP138_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5092]) ).
cnf(c_5103,plain,
( ~ r1(X0,X1)
| p5(X1)
| p4(X1)
| sP137_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_98]) ).
cnf(c_5113,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP1(X2)
| ~ sP139_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP139_iProver_split])],[c_102]) ).
cnf(c_5114,plain,
( ~ r1(X0,X1)
| sP139_iProver_split(X0)
| ~ sP140_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP140_iProver_split])],[c_102]) ).
cnf(c_5115,plain,
( ~ r1(X0,X1)
| ~ p4(X1)
| ~ p3(X1)
| sP140_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_102]) ).
cnf(c_5118,plain,
( ~ r1(X0,X1)
| ~ sP139_iProver_split(X1)
| ~ sP141_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP141_iProver_split])],[c_5113]) ).
cnf(c_5119,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| sP141_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5113]) ).
cnf(c_5122,plain,
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| sP140_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_103]) ).
cnf(c_5128,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP0(X2)
| ~ sP142_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP142_iProver_split])],[c_104]) ).
cnf(c_5129,plain,
( ~ r1(X0,X1)
| ~ p1(X1)
| ~ p2(X1)
| sP142_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_104]) ).
cnf(c_5131,plain,
( ~ r1(X0,X1)
| ~ sP142_iProver_split(X1)
| ~ sP143_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP143_iProver_split])],[c_5128]) ).
cnf(c_5132,plain,
( ~ r1(X0,X1)
| ~ sP0(X0)
| sP143_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5128]) ).
cnf(c_5135,plain,
( ~ r1(X0,X1)
| p1(X1)
| p2(X1)
| sP142_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_105]) ).
cnf(c_5142,plain,
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p2(X1)
| sP142_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_108]) ).
cnf(c_5147,plain,
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| sP142_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_109]) ).
cnf(c_5171,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK24,X2)
| ~ sP144_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP144_iProver_split])],[c_129]) ).
cnf(c_5172,negated_conjecture,
( ~ r1(X0,X1)
| sP144_iProver_split(X0)
| ~ sP145_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP145_iProver_split])],[c_129]) ).
cnf(c_5173,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p15(X1)
| ~ p14(X1)
| ~ sP146_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP146_iProver_split])],[c_129]) ).
cnf(c_5174,negated_conjecture,
( ~ r1(X0,X1)
| sP146_iProver_split(X1)
| ~ sP147_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP147_iProver_split])],[c_129]) ).
cnf(c_5175,negated_conjecture,
( ~ r1(X0,X1)
| sP147_iProver_split(X1)
| ~ sP148_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP148_iProver_split])],[c_129]) ).
cnf(c_5176,negated_conjecture,
( ~ r1(X0,X1)
| sP148_iProver_split(X1)
| ~ sP149_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP149_iProver_split])],[c_129]) ).
cnf(c_5177,negated_conjecture,
( ~ r1(X0,X1)
| sP149_iProver_split(X1)
| ~ sP150_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP150_iProver_split])],[c_129]) ).
cnf(c_5178,negated_conjecture,
( ~ r1(X0,X1)
| sP150_iProver_split(X1)
| ~ sP151_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP151_iProver_split])],[c_129]) ).
cnf(c_5179,negated_conjecture,
( ~ r1(X0,X1)
| sP151_iProver_split(X1)
| ~ sP152_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP152_iProver_split])],[c_129]) ).
cnf(c_5180,negated_conjecture,
( ~ r1(X0,X1)
| sP152_iProver_split(X1)
| ~ sP153_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP153_iProver_split])],[c_129]) ).
cnf(c_5181,negated_conjecture,
( ~ r1(X0,X1)
| sP153_iProver_split(X1)
| ~ sP154_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP154_iProver_split])],[c_129]) ).
cnf(c_5182,negated_conjecture,
( ~ r1(X0,X1)
| sP154_iProver_split(X1)
| ~ sP155_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP155_iProver_split])],[c_129]) ).
cnf(c_5183,negated_conjecture,
( ~ r1(X0,X1)
| sP145_iProver_split(X0)
| sP155_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_129]) ).
cnf(c_5194,negated_conjecture,
( ~ r1(X0,X1)
| ~ sP146_iProver_split(X0)
| ~ sP156_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP156_iProver_split])],[c_5173]) ).
cnf(c_5195,negated_conjecture,
( ~ r1(X0,X1)
| ~ p14(X1)
| ~ p15(X1)
| sP156_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5173]) ).
cnf(c_5199,negated_conjecture,
( ~ r1(X0,X1)
| ~ sP144_iProver_split(X1)
| ~ sP157_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP157_iProver_split])],[c_5171]) ).
cnf(c_5200,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK24,X0)
| sP157_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5171]) ).
cnf(c_5203,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| p15(X1)
| p14(X1)
| ~ sP158_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP158_iProver_split])],[c_130]) ).
cnf(c_5204,negated_conjecture,
( ~ r1(X0,X1)
| sP158_iProver_split(X1)
| ~ sP159_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP159_iProver_split])],[c_130]) ).
cnf(c_5205,negated_conjecture,
( ~ r1(X0,X1)
| sP159_iProver_split(X1)
| ~ sP160_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP160_iProver_split])],[c_130]) ).
cnf(c_5206,negated_conjecture,
( ~ r1(X0,X1)
| sP160_iProver_split(X1)
| ~ sP161_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP161_iProver_split])],[c_130]) ).
cnf(c_5207,negated_conjecture,
( ~ r1(X0,X1)
| sP161_iProver_split(X1)
| ~ sP162_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP162_iProver_split])],[c_130]) ).
cnf(c_5208,negated_conjecture,
( ~ r1(X0,X1)
| sP162_iProver_split(X1)
| ~ sP163_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP163_iProver_split])],[c_130]) ).
cnf(c_5209,negated_conjecture,
( ~ r1(X0,X1)
| sP163_iProver_split(X1)
| ~ sP164_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP164_iProver_split])],[c_130]) ).
cnf(c_5210,negated_conjecture,
( ~ r1(X0,X1)
| sP164_iProver_split(X1)
| ~ sP165_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP165_iProver_split])],[c_130]) ).
cnf(c_5211,negated_conjecture,
( ~ r1(X0,X1)
| sP165_iProver_split(X1)
| ~ sP166_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP166_iProver_split])],[c_130]) ).
cnf(c_5212,negated_conjecture,
( ~ r1(X0,X1)
| sP166_iProver_split(X1)
| ~ sP167_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP167_iProver_split])],[c_130]) ).
cnf(c_5213,negated_conjecture,
( ~ r1(X0,X1)
| sP145_iProver_split(X0)
| sP167_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_130]) ).
cnf(c_5224,negated_conjecture,
( ~ r1(X0,X1)
| ~ sP158_iProver_split(X0)
| ~ sP168_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP168_iProver_split])],[c_5203]) ).
cnf(c_5225,negated_conjecture,
( ~ r1(X0,X1)
| p14(X1)
| p15(X1)
| sP168_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5203]) ).
cnf(c_5233,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK24,X0)
| ~ sP169_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP169_iProver_split])],[c_132]) ).
cnf(c_5234,negated_conjecture,
( ~ r1(X0,X1)
| sP169_iProver_split(X0)
| ~ sP170_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP170_iProver_split])],[c_132]) ).
cnf(c_5235,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p15(X1)
| ~ p1(X1)
| ~ sP171_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP171_iProver_split])],[c_132]) ).
cnf(c_5236,negated_conjecture,
( ~ r1(X0,X1)
| sP171_iProver_split(X1)
| ~ sP172_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP172_iProver_split])],[c_132]) ).
cnf(c_5237,negated_conjecture,
( ~ r1(X0,X1)
| sP172_iProver_split(X1)
| ~ sP173_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP173_iProver_split])],[c_132]) ).
cnf(c_5238,negated_conjecture,
( ~ r1(X0,X1)
| sP173_iProver_split(X1)
| ~ sP174_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP174_iProver_split])],[c_132]) ).
cnf(c_5239,negated_conjecture,
( ~ r1(X0,X1)
| sP174_iProver_split(X1)
| ~ sP175_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP175_iProver_split])],[c_132]) ).
cnf(c_5240,negated_conjecture,
( ~ r1(X0,X1)
| sP175_iProver_split(X1)
| ~ sP176_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP176_iProver_split])],[c_132]) ).
cnf(c_5241,negated_conjecture,
( ~ r1(X0,X1)
| sP176_iProver_split(X1)
| ~ sP177_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP177_iProver_split])],[c_132]) ).
cnf(c_5242,negated_conjecture,
( ~ r1(X0,X1)
| sP177_iProver_split(X1)
| ~ sP178_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP178_iProver_split])],[c_132]) ).
cnf(c_5243,negated_conjecture,
( ~ r1(X0,X1)
| sP178_iProver_split(X1)
| ~ sP179_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP179_iProver_split])],[c_132]) ).
cnf(c_5244,negated_conjecture,
( ~ r1(X0,X1)
| sP179_iProver_split(X1)
| ~ sP180_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP180_iProver_split])],[c_132]) ).
cnf(c_5245,negated_conjecture,
( ~ r1(X0,X1)
| sP180_iProver_split(X1)
| ~ sP181_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP181_iProver_split])],[c_132]) ).
cnf(c_5246,negated_conjecture,
( ~ r1(X0,X1)
| sP170_iProver_split(X0)
| sP181_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_132]) ).
cnf(c_5258,negated_conjecture,
( ~ r1(X0,X1)
| ~ sP171_iProver_split(X0)
| ~ sP182_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP182_iProver_split])],[c_5235]) ).
cnf(c_5259,negated_conjecture,
( ~ r1(X0,X1)
| ~ p1(X1)
| ~ p15(X1)
| sP182_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5235]) ).
cnf(c_5264,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| p15(X1)
| p1(X1)
| ~ sP183_iProver_split(X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP183_iProver_split])],[c_133]) ).
cnf(c_5265,negated_conjecture,
( ~ r1(X0,X1)
| sP183_iProver_split(X1)
| ~ sP184_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP184_iProver_split])],[c_133]) ).
cnf(c_5266,negated_conjecture,
( ~ r1(X0,X1)
| sP184_iProver_split(X1)
| ~ sP185_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP185_iProver_split])],[c_133]) ).
cnf(c_5267,negated_conjecture,
( ~ r1(X0,X1)
| sP185_iProver_split(X1)
| ~ sP186_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP186_iProver_split])],[c_133]) ).
cnf(c_5268,negated_conjecture,
( ~ r1(X0,X1)
| sP186_iProver_split(X1)
| ~ sP187_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP187_iProver_split])],[c_133]) ).
cnf(c_5269,negated_conjecture,
( ~ r1(X0,X1)
| sP187_iProver_split(X1)
| ~ sP188_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP188_iProver_split])],[c_133]) ).
cnf(c_5270,negated_conjecture,
( ~ r1(X0,X1)
| sP188_iProver_split(X1)
| ~ sP189_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP189_iProver_split])],[c_133]) ).
cnf(c_5271,negated_conjecture,
( ~ r1(X0,X1)
| sP189_iProver_split(X1)
| ~ sP190_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP190_iProver_split])],[c_133]) ).
cnf(c_5272,negated_conjecture,
( ~ r1(X0,X1)
| sP190_iProver_split(X1)
| ~ sP191_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP191_iProver_split])],[c_133]) ).
cnf(c_5273,negated_conjecture,
( ~ r1(X0,X1)
| sP191_iProver_split(X1)
| ~ sP192_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP192_iProver_split])],[c_133]) ).
cnf(c_5274,negated_conjecture,
( ~ r1(X0,X1)
| sP192_iProver_split(X1)
| ~ sP193_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP193_iProver_split])],[c_133]) ).
cnf(c_5275,negated_conjecture,
( ~ r1(X0,X1)
| sP170_iProver_split(X0)
| sP193_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_133]) ).
cnf(c_5287,negated_conjecture,
( ~ r1(X0,X1)
| ~ sP183_iProver_split(X0)
| ~ sP194_iProver_split(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP194_iProver_split])],[c_5264]) ).
cnf(c_5288,negated_conjecture,
( ~ r1(X0,X1)
| p1(X1)
| p15(X1)
| sP194_iProver_split(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5264]) ).
cnf(c_5760,plain,
( sP170_iProver_split(sK46)
| sP193_iProver_split(sK47) ),
inference(superposition,[status(thm)],[c_147,c_5275]) ).
cnf(c_5911,plain,
( sP170_iProver_split(sK46)
| sP181_iProver_split(sK47) ),
inference(superposition,[status(thm)],[c_147,c_5246]) ).
cnf(c_6012,plain,
( sP145_iProver_split(sK47)
| sP167_iProver_split(sK48) ),
inference(superposition,[status(thm)],[c_146,c_5213]) ).
cnf(c_6114,plain,
( sP145_iProver_split(sK47)
| sP155_iProver_split(sK48) ),
inference(superposition,[status(thm)],[c_146,c_5183]) ).
cnf(c_6256,plain,
( sP129_iProver_split(sK56)
| sP133_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_5079]) ).
cnf(c_6407,plain,
( sP129_iProver_split(sK56)
| sP130_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_5067]) ).
cnf(c_6510,plain,
( sP120_iProver_split(sK55)
| sP126_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_5050]) ).
cnf(c_6612,plain,
( sP120_iProver_split(sK55)
| sP122_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_5036]) ).
cnf(c_6764,plain,
( sP109_iProver_split(sK54)
| sP117_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_5017]) ).
cnf(c_6866,plain,
( sP109_iProver_split(sK54)
| sP112_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_5001]) ).
cnf(c_7071,plain,
( sP96_iProver_split(sK53)
| sP106_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_4980]) ).
cnf(c_7426,plain,
( sP96_iProver_split(sK53)
| sP100_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_4962]) ).
cnf(c_7529,plain,
( sP81_iProver_split(sK52)
| sP93_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_4939]) ).
cnf(c_7835,plain,
( sP81_iProver_split(sK52)
| sP86_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_4919]) ).
cnf(c_7987,plain,
( sP64_iProver_split(sK51)
| sP78_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_142,c_4894]) ).
cnf(c_8191,plain,
( sP64_iProver_split(sK51)
| sP70_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_142,c_4872]) ).
cnf(c_8396,plain,
( sP45_iProver_split(sK50)
| sP61_iProver_split(sK51) ),
inference(superposition,[status(thm)],[c_143,c_4845]) ).
cnf(c_8649,plain,
( sP45_iProver_split(sK50)
| sP52_iProver_split(sK51) ),
inference(superposition,[status(thm)],[c_143,c_4821]) ).
cnf(c_8854,plain,
( sP24_iProver_split(sK49)
| sP42_iProver_split(sK50) ),
inference(superposition,[status(thm)],[c_144,c_4792]) ).
cnf(c_9005,plain,
( sP24_iProver_split(sK49)
| sP32_iProver_split(sK50) ),
inference(superposition,[status(thm)],[c_144,c_4766]) ).
cnf(c_9210,plain,
( sP1_iProver_split(sK48)
| sP21_iProver_split(sK49) ),
inference(superposition,[status(thm)],[c_145,c_4735]) ).
cnf(c_9414,plain,
( sP1_iProver_split(sK48)
| sP10_iProver_split(sK49) ),
inference(superposition,[status(thm)],[c_145,c_4707]) ).
cnf(c_9883,plain,
( ~ sP193_iProver_split(sK47)
| sP192_iProver_split(sK48) ),
inference(superposition,[status(thm)],[c_146,c_5274]) ).
cnf(c_9989,plain,
( ~ sP192_iProver_split(sK48)
| sP191_iProver_split(sK49) ),
inference(superposition,[status(thm)],[c_145,c_5273]) ).
cnf(c_10246,plain,
( ~ sP191_iProver_split(sK49)
| sP190_iProver_split(sK50) ),
inference(superposition,[status(thm)],[c_144,c_5272]) ).
cnf(c_10454,plain,
( ~ sP190_iProver_split(sK50)
| sP189_iProver_split(sK51) ),
inference(superposition,[status(thm)],[c_143,c_5271]) ).
cnf(c_10662,plain,
( ~ sP189_iProver_split(sK51)
| sP188_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_142,c_5270]) ).
cnf(c_10817,plain,
( ~ sP188_iProver_split(sK52)
| sP187_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_5269]) ).
cnf(c_11025,plain,
( ~ sP187_iProver_split(sK53)
| sP186_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_5268]) ).
cnf(c_11131,plain,
( ~ sP186_iProver_split(sK54)
| sP185_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_5267]) ).
cnf(c_11388,plain,
( ~ sP185_iProver_split(sK55)
| sP184_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_5266]) ).
cnf(c_11596,plain,
( ~ sP184_iProver_split(sK56)
| sP183_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_5265]) ).
cnf(c_11814,plain,
( ~ sP181_iProver_split(sK47)
| sP180_iProver_split(sK48) ),
inference(superposition,[status(thm)],[c_146,c_5245]) ).
cnf(c_12071,plain,
( ~ sP180_iProver_split(sK48)
| sP179_iProver_split(sK49) ),
inference(superposition,[status(thm)],[c_145,c_5244]) ).
cnf(c_12279,plain,
( ~ sP179_iProver_split(sK49)
| sP178_iProver_split(sK50) ),
inference(superposition,[status(thm)],[c_144,c_5243]) ).
cnf(c_12524,plain,
( ~ sP178_iProver_split(sK50)
| sP177_iProver_split(sK51) ),
inference(superposition,[status(thm)],[c_143,c_5242]) ).
cnf(c_12736,plain,
( ~ sP177_iProver_split(sK51)
| sP176_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_142,c_5241]) ).
cnf(c_12948,plain,
( ~ sP176_iProver_split(sK52)
| sP175_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_5240]) ).
cnf(c_13103,plain,
( ~ sP175_iProver_split(sK53)
| sP174_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_5239]) ).
cnf(c_13315,plain,
( ~ sP174_iProver_split(sK54)
| sP173_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_5238]) ).
cnf(c_13463,plain,
( ~ sP173_iProver_split(sK55)
| sP172_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_5237]) ).
cnf(c_13675,plain,
( ~ sP172_iProver_split(sK56)
| sP171_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_5236]) ).
cnf(c_13890,plain,
( ~ sP170_iProver_split(sK46)
| sP169_iProver_split(sK45) ),
inference(superposition,[status(thm)],[c_148,c_5234]) ).
cnf(c_13994,plain,
( ~ sP167_iProver_split(sK48)
| sP166_iProver_split(sK49) ),
inference(superposition,[status(thm)],[c_145,c_5212]) ).
cnf(c_14312,plain,
( ~ sP166_iProver_split(sK49)
| sP165_iProver_split(sK50) ),
inference(superposition,[status(thm)],[c_144,c_5211]) ).
cnf(c_14515,plain,
( ~ sP165_iProver_split(sK50)
| sP164_iProver_split(sK51) ),
inference(superposition,[status(thm)],[c_143,c_5210]) ).
cnf(c_14727,plain,
( ~ sP164_iProver_split(sK51)
| sP163_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_142,c_5209]) ).
cnf(c_14939,plain,
( ~ sP163_iProver_split(sK52)
| sP162_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_5208]) ).
cnf(c_15151,plain,
( ~ sP162_iProver_split(sK53)
| sP161_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_5207]) ).
cnf(c_15412,plain,
( ~ sP161_iProver_split(sK54)
| sP160_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_5206]) ).
cnf(c_15624,plain,
( ~ sP160_iProver_split(sK55)
| sP159_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_5205]) ).
cnf(c_15730,plain,
( ~ sP159_iProver_split(sK56)
| sP158_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_5204]) ).
cnf(c_15816,plain,
( ~ r1(sK58,sK59)
| p1(sK59)
| p15(sK59)
| sP194_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_5288]) ).
cnf(c_15894,plain,
( ~ sP155_iProver_split(sK48)
| sP154_iProver_split(sK49) ),
inference(superposition,[status(thm)],[c_145,c_5182]) ).
cnf(c_16106,plain,
( ~ sP154_iProver_split(sK49)
| sP153_iProver_split(sK50) ),
inference(superposition,[status(thm)],[c_144,c_5181]) ).
cnf(c_16205,plain,
( ~ r1(sK57,sK58)
| ~ sP133_iProver_split(sK57)
| ~ sP134_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_5081]) ).
cnf(c_16207,plain,
( ~ r1(sK57,sK58)
| ~ sP130_iProver_split(sK57)
| ~ sP131_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_5069]) ).
cnf(c_16208,plain,
( ~ r1(sK57,sK58)
| ~ sP125_iProver_split(sK57)
| ~ sP127_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_5053]) ).
cnf(c_16210,plain,
( ~ r1(sK57,sK58)
| ~ sP121_iProver_split(sK57)
| ~ sP123_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_5039]) ).
cnf(c_16211,plain,
( ~ r1(sK57,sK58)
| ~ sP115_iProver_split(sK57)
| ~ sP118_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_5021]) ).
cnf(c_16213,plain,
( ~ r1(sK57,sK58)
| ~ sP110_iProver_split(sK57)
| ~ sP113_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_5005]) ).
cnf(c_16214,plain,
( ~ r1(sK57,sK58)
| ~ sP103_iProver_split(sK57)
| ~ sP107_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_4985]) ).
cnf(c_16216,plain,
( ~ r1(sK57,sK58)
| ~ sP97_iProver_split(sK57)
| ~ sP101_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_4967]) ).
cnf(c_16217,plain,
( ~ r1(sK57,sK58)
| ~ sP89_iProver_split(sK57)
| ~ sP94_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_4945]) ).
cnf(c_16219,plain,
( ~ r1(sK57,sK58)
| ~ sP82_iProver_split(sK57)
| ~ sP87_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_4925]) ).
cnf(c_16220,plain,
( ~ r1(sK57,sK58)
| ~ sP73_iProver_split(sK57)
| ~ sP79_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_4901]) ).
cnf(c_16222,plain,
( ~ r1(sK57,sK58)
| ~ sP65_iProver_split(sK57)
| ~ sP71_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_4879]) ).
cnf(c_16223,plain,
( ~ r1(sK57,sK58)
| ~ sP55_iProver_split(sK57)
| ~ sP62_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_4853]) ).
cnf(c_16225,plain,
( ~ r1(sK57,sK58)
| ~ sP46_iProver_split(sK57)
| ~ sP53_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_4829]) ).
cnf(c_16226,plain,
( ~ r1(sK57,sK58)
| ~ sP35_iProver_split(sK57)
| ~ sP43_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_4801]) ).
cnf(c_16228,plain,
( ~ r1(sK57,sK58)
| ~ sP25_iProver_split(sK57)
| ~ sP33_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_4775]) ).
cnf(c_16229,plain,
( ~ r1(sK57,sK58)
| ~ sP13_iProver_split(sK57)
| ~ sP22_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_4745]) ).
cnf(c_16231,plain,
( ~ r1(sK57,sK58)
| ~ sP2_iProver_split(sK57)
| ~ sP11_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_4717]) ).
cnf(c_16367,plain,
( ~ sP153_iProver_split(sK50)
| sP152_iProver_split(sK51) ),
inference(superposition,[status(thm)],[c_143,c_5180]) ).
cnf(c_16579,plain,
( ~ sP152_iProver_split(sK51)
| sP151_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_142,c_5179]) ).
cnf(c_16734,plain,
( ~ sP151_iProver_split(sK52)
| sP150_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_5178]) ).
cnf(c_16946,plain,
( ~ sP150_iProver_split(sK53)
| sP149_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_5177]) ).
cnf(c_17101,plain,
( ~ sP149_iProver_split(sK54)
| sP148_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_5176]) ).
cnf(c_17313,plain,
( ~ sP148_iProver_split(sK55)
| sP147_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_5175]) ).
cnf(c_17419,plain,
( ~ sP147_iProver_split(sK56)
| sP146_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_5174]) ).
cnf(c_17642,plain,
( ~ sP145_iProver_split(sK47)
| sP144_iProver_split(sK46) ),
inference(superposition,[status(thm)],[c_147,c_5172]) ).
cnf(c_17788,plain,
( ~ sP0(sK56)
| sP143_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_5132]) ).
cnf(c_18002,plain,
( ~ sP1(sK55)
| sP141_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_5119]) ).
cnf(c_18213,plain,
( ~ sP140_iProver_split(sK58)
| sP139_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_136,c_5114]) ).
cnf(c_18478,plain,
( ~ sP2(sK54)
| sP138_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_5100]) ).
cnf(c_18582,plain,
( ~ sP137_iProver_split(sK58)
| sP136_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_136,c_5094]) ).
cnf(c_18845,plain,
( ~ sP136_iProver_split(sK57)
| sP135_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_137,c_5093]) ).
cnf(c_18955,plain,
( ~ sP3(sK53)
| sP132_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_5075]) ).
cnf(c_19166,plain,
( ~ sP129_iProver_split(sK56)
| sP128_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_138,c_5065]) ).
cnf(c_19378,plain,
( ~ sP126_iProver_split(sK56)
| sP125_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_5049]) ).
cnf(c_19538,plain,
( ~ sP4(sK52)
| sP124_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_5045]) ).
cnf(c_19747,plain,
( ~ sP122_iProver_split(sK56)
| sP121_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_5035]) ).
cnf(c_19962,plain,
( ~ sP120_iProver_split(sK55)
| sP119_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_139,c_5033]) ).
cnf(c_20117,plain,
( ~ sP117_iProver_split(sK55)
| sP116_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_5016]) ).
cnf(c_20329,plain,
( ~ sP116_iProver_split(sK56)
| sP115_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_5015]) ).
cnf(c_20547,plain,
( ~ sP5(sK51)
| sP114_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_142,c_5011]) ).
cnf(c_20699,plain,
( ~ sP112_iProver_split(sK55)
| sP111_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_5000]) ).
cnf(c_20911,plain,
( ~ sP111_iProver_split(sK56)
| sP110_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_4999]) ).
cnf(c_21021,plain,
( ~ sP109_iProver_split(sK54)
| sP108_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_140,c_4997]) ).
cnf(c_21282,plain,
( ~ sP106_iProver_split(sK54)
| sP105_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_4979]) ).
cnf(c_21494,plain,
( ~ sP105_iProver_split(sK55)
| sP104_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_4978]) ).
cnf(c_21755,plain,
( ~ sP104_iProver_split(sK56)
| sP103_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_4977]) ).
cnf(c_21974,plain,
( ~ sP6(sK50)
| sP102_iProver_split(sK51) ),
inference(superposition,[status(thm)],[c_143,c_4973]) ).
cnf(c_22077,plain,
( ~ sP100_iProver_split(sK54)
| sP99_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_4961]) ).
cnf(c_22338,plain,
( ~ sP99_iProver_split(sK55)
| sP98_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_4960]) ).
cnf(c_22550,plain,
( ~ sP98_iProver_split(sK56)
| sP97_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_4959]) ).
cnf(c_22767,plain,
( ~ sP96_iProver_split(sK53)
| sP95_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_141,c_4957]) ).
cnf(c_22922,plain,
( ~ sP93_iProver_split(sK53)
| sP92_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_4938]) ).
cnf(c_23134,plain,
( ~ sP92_iProver_split(sK54)
| sP91_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_4937]) ).
cnf(c_23346,plain,
( ~ sP91_iProver_split(sK55)
| sP90_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_4936]) ).
cnf(c_23558,plain,
( ~ sP90_iProver_split(sK56)
| sP89_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_4935]) ).
cnf(c_23721,plain,
( ~ sP7(sK49)
| sP88_iProver_split(sK50) ),
inference(superposition,[status(thm)],[c_144,c_4931]) ).
cnf(c_24036,plain,
( ~ sP86_iProver_split(sK53)
| sP85_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_4918]) ).
cnf(c_24191,plain,
( ~ sP85_iProver_split(sK54)
| sP84_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_4917]) ).
cnf(c_24403,plain,
( ~ sP84_iProver_split(sK55)
| sP83_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_4916]) ).
cnf(c_24615,plain,
( ~ sP83_iProver_split(sK56)
| sP82_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_4915]) ).
cnf(c_24838,plain,
( ~ sP81_iProver_split(sK52)
| sP80_iProver_split(sK51) ),
inference(superposition,[status(thm)],[c_142,c_4913]) ).
cnf(c_24948,plain,
( ~ sP78_iProver_split(sK52)
| sP77_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_4893]) ).
cnf(c_25066,plain,
( ~ r1(sK45,sK46)
| ~ sP144_iProver_split(sK46)
| ~ sP157_iProver_split(sK45) ),
inference(instantiation,[status(thm)],[c_5199]) ).
cnf(c_25119,plain,
( ~ sP77_iProver_split(sK53)
| sP76_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_4892]) ).
cnf(c_25331,plain,
( ~ sP76_iProver_split(sK54)
| sP75_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_4891]) ).
cnf(c_25543,plain,
( ~ sP75_iProver_split(sK55)
| sP74_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_4890]) ).
cnf(c_25662,plain,
( ~ r1(sK24,sK44)
| ~ r1(sK44,sK45)
| sP157_iProver_split(sK45) ),
inference(instantiation,[status(thm)],[c_5200]) ).
cnf(c_25711,plain,
( ~ sP74_iProver_split(sK56)
| sP73_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_4889]) ).
cnf(c_25932,plain,
( ~ sP8(sK48)
| sP72_iProver_split(sK49) ),
inference(superposition,[status(thm)],[c_145,c_4885]) ).
cnf(c_26141,plain,
( ~ sP70_iProver_split(sK52)
| sP69_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_4871]) ).
cnf(c_26251,plain,
( ~ sP69_iProver_split(sK53)
| sP68_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_4870]) ).
cnf(c_26468,plain,
( ~ sP68_iProver_split(sK54)
| sP67_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_4869]) ).
cnf(c_26573,plain,
( ~ r1(sK57,sK58)
| ~ sP158_iProver_split(sK57)
| ~ sP168_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_5224]) ).
cnf(c_26742,plain,
( ~ sP67_iProver_split(sK55)
| sP66_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_4868]) ).
cnf(c_26848,plain,
( ~ sP66_iProver_split(sK56)
| sP65_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_4867]) ).
cnf(c_27067,plain,
( ~ sP64_iProver_split(sK51)
| sP63_iProver_split(sK50) ),
inference(superposition,[status(thm)],[c_143,c_4865]) ).
cnf(c_27181,plain,
( ~ r1(sK24,sK44)
| ~ r1(sK44,sK45)
| ~ sP169_iProver_split(sK45) ),
inference(instantiation,[status(thm)],[c_5233]) ).
cnf(c_27235,plain,
( ~ sP61_iProver_split(sK51)
| sP60_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_142,c_4844]) ).
cnf(c_27447,plain,
( ~ sP60_iProver_split(sK52)
| sP59_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_4843]) ).
cnf(c_27660,plain,
( ~ sP59_iProver_split(sK53)
| sP58_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_4842]) ).
cnf(c_27874,plain,
( ~ sP58_iProver_split(sK54)
| sP57_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_4841]) ).
cnf(c_28091,plain,
( ~ sP57_iProver_split(sK55)
| sP56_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_4840]) ).
cnf(c_28308,plain,
( ~ sP56_iProver_split(sK56)
| sP55_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_4839]) ).
cnf(c_28428,plain,
( ~ sP9(sK47)
| sP54_iProver_split(sK48) ),
inference(superposition,[status(thm)],[c_146,c_4835]) ).
cnf(c_28638,plain,
( ~ sP52_iProver_split(sK51)
| sP51_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_142,c_4820]) ).
cnf(c_28855,plain,
( ~ sP51_iProver_split(sK52)
| sP50_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_4819]) ).
cnf(c_28958,plain,
( ~ r1(sK57,sK58)
| ~ sP183_iProver_split(sK57)
| ~ sP194_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_5287]) ).
cnf(c_29023,plain,
( ~ sP50_iProver_split(sK53)
| sP49_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_4818]) ).
cnf(c_29341,plain,
( ~ sP49_iProver_split(sK54)
| sP48_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_4817]) ).
cnf(c_29447,plain,
( ~ sP48_iProver_split(sK55)
| sP47_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_4816]) ).
cnf(c_29659,plain,
( ~ sP47_iProver_split(sK56)
| sP46_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_4815]) ).
cnf(c_29879,plain,
( ~ sP45_iProver_split(sK50)
| sP44_iProver_split(sK49) ),
inference(superposition,[status(thm)],[c_144,c_4813]) ).
cnf(c_29988,plain,
( ~ sP42_iProver_split(sK50)
| sP41_iProver_split(sK51) ),
inference(superposition,[status(thm)],[c_143,c_4791]) ).
cnf(c_30422,plain,
( ~ sP41_iProver_split(sK51)
| sP40_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_142,c_4790]) ).
cnf(c_30533,plain,
( ~ sP40_iProver_split(sK52)
| sP39_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_4789]) ).
cnf(c_30745,plain,
( ~ sP39_iProver_split(sK53)
| sP38_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_4788]) ).
cnf(c_30856,plain,
( ~ sP38_iProver_split(sK54)
| sP37_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_4787]) ).
cnf(c_31068,plain,
( ~ sP37_iProver_split(sK55)
| sP36_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_4786]) ).
cnf(c_31285,plain,
( ~ sP36_iProver_split(sK56)
| sP35_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_4785]) ).
cnf(c_31407,plain,
( ~ sP10(sK46)
| sP34_iProver_split(sK47) ),
inference(superposition,[status(thm)],[c_147,c_4781]) ).
cnf(c_31515,plain,
( ~ sP32_iProver_split(sK50)
| sP31_iProver_split(sK51) ),
inference(superposition,[status(thm)],[c_143,c_4765]) ).
cnf(c_31727,plain,
( ~ sP31_iProver_split(sK51)
| sP30_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_142,c_4764]) ).
cnf(c_31944,plain,
( ~ sP30_iProver_split(sK52)
| sP29_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_4763]) ).
cnf(c_32156,plain,
( ~ sP29_iProver_split(sK53)
| sP28_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_4762]) ).
cnf(c_32376,plain,
( ~ sP28_iProver_split(sK54)
| sP27_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_4761]) ).
cnf(c_32484,plain,
( ~ sP27_iProver_split(sK55)
| sP26_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_4760]) ).
cnf(c_32696,plain,
( ~ sP26_iProver_split(sK56)
| sP25_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_4759]) ).
cnf(c_32816,plain,
( ~ sP24_iProver_split(sK49)
| sP23_iProver_split(sK48) ),
inference(superposition,[status(thm)],[c_145,c_4757]) ).
cnf(c_33033,plain,
( ~ sP21_iProver_split(sK49)
| sP20_iProver_split(sK50) ),
inference(superposition,[status(thm)],[c_144,c_4734]) ).
cnf(c_33245,plain,
( ~ sP20_iProver_split(sK50)
| sP19_iProver_split(sK51) ),
inference(superposition,[status(thm)],[c_143,c_4733]) ).
cnf(c_33354,plain,
( ~ sP19_iProver_split(sK51)
| sP18_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_142,c_4732]) ).
cnf(c_33568,plain,
( ~ sP18_iProver_split(sK52)
| sP17_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_4731]) ).
cnf(c_33679,plain,
( ~ sP17_iProver_split(sK53)
| sP16_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_4730]) ).
cnf(c_33891,plain,
( ~ sP16_iProver_split(sK54)
| sP15_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_4729]) ).
cnf(c_34106,plain,
( ~ sP15_iProver_split(sK55)
| sP14_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_4728]) ).
cnf(c_34327,plain,
( ~ sP14_iProver_split(sK56)
| sP13_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_4727]) ).
cnf(c_34451,plain,
( ~ sP11(sK45)
| sP12_iProver_split(sK46) ),
inference(superposition,[status(thm)],[c_148,c_4723]) ).
cnf(c_34661,plain,
( ~ sP10_iProver_split(sK49)
| sP9_iProver_split(sK50) ),
inference(superposition,[status(thm)],[c_144,c_4706]) ).
cnf(c_34767,plain,
( ~ sP9_iProver_split(sK50)
| sP8_iProver_split(sK51) ),
inference(superposition,[status(thm)],[c_143,c_4705]) ).
cnf(c_34984,plain,
( ~ sP8_iProver_split(sK51)
| sP7_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_142,c_4704]) ).
cnf(c_35196,plain,
( ~ sP7_iProver_split(sK52)
| sP6_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_141,c_4703]) ).
cnf(c_35303,plain,
( ~ sP6_iProver_split(sK53)
| sP5_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_140,c_4702]) ).
cnf(c_35519,plain,
( ~ sP5_iProver_split(sK54)
| sP4_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_139,c_4701]) ).
cnf(c_35630,plain,
( ~ sP4_iProver_split(sK55)
| sP3_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_138,c_4700]) ).
cnf(c_35848,plain,
( ~ sP3_iProver_split(sK56)
| sP2_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_137,c_4699]) ).
cnf(c_36073,plain,
( ~ sP1_iProver_split(sK48)
| sP0_iProver_split(sK47) ),
inference(superposition,[status(thm)],[c_146,c_4697]) ).
cnf(c_36177,plain,
( ~ sP1(sK55)
| sP0(sK56) ),
inference(superposition,[status(thm)],[c_138,c_99]) ).
cnf(c_36391,plain,
( ~ sP2(sK54)
| sP1(sK55) ),
inference(superposition,[status(thm)],[c_139,c_94]) ).
cnf(c_36610,plain,
( ~ sP3(sK53)
| sP2(sK54) ),
inference(superposition,[status(thm)],[c_140,c_89]) ).
cnf(c_36723,plain,
( ~ sP4(sK52)
| sP3(sK53) ),
inference(superposition,[status(thm)],[c_141,c_84]) ).
cnf(c_36937,plain,
( ~ sP5(sK51)
| sP4(sK52) ),
inference(superposition,[status(thm)],[c_142,c_79]) ).
cnf(c_37151,plain,
( ~ sP6(sK50)
| sP5(sK51) ),
inference(superposition,[status(thm)],[c_143,c_74]) ).
cnf(c_37264,plain,
( ~ sP7(sK49)
| sP6(sK50) ),
inference(superposition,[status(thm)],[c_144,c_69]) ).
cnf(c_37483,plain,
( ~ sP8(sK48)
| sP7(sK49) ),
inference(superposition,[status(thm)],[c_145,c_64]) ).
cnf(c_37697,plain,
( ~ sP9(sK47)
| sP8(sK48) ),
inference(superposition,[status(thm)],[c_146,c_59]) ).
cnf(c_37810,plain,
( ~ sP10(sK46)
| sP9(sK47) ),
inference(superposition,[status(thm)],[c_147,c_54]) ).
cnf(c_38031,plain,
( ~ sP11(sK45)
| sP10(sK46) ),
inference(superposition,[status(thm)],[c_148,c_49]) ).
cnf(c_38706,plain,
( ~ sP171_iProver_split(sK57)
| ~ sP182_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_136,c_5258]) ).
cnf(c_38919,plain,
( p14(sK59)
| p15(sK59)
| sP168_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5225]) ).
cnf(c_39716,plain,
( ~ sP146_iProver_split(sK57)
| ~ sP156_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_136,c_5194]) ).
cnf(c_39934,plain,
( p3(sK59)
| p2(sK59)
| sP142_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5147]) ).
cnf(c_40081,plain,
( p1(sK59)
| p2(sK59)
| sP142_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5135]) ).
cnf(c_40334,plain,
( ~ sP142_iProver_split(sK58)
| ~ sP143_iProver_split(sK57) ),
inference(superposition,[status(thm)],[c_136,c_5131]) ).
cnf(c_40547,plain,
( p4(sK59)
| p3(sK59)
| sP140_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5122]) ).
cnf(c_40801,plain,
( ~ sP139_iProver_split(sK57)
| ~ sP141_iProver_split(sK56) ),
inference(superposition,[status(thm)],[c_137,c_5118]) ).
cnf(c_41017,plain,
( p5(sK59)
| p4(sK59)
| sP137_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5103]) ).
cnf(c_41270,plain,
( ~ sP135_iProver_split(sK56)
| ~ sP138_iProver_split(sK55) ),
inference(superposition,[status(thm)],[c_138,c_5099]) ).
cnf(c_41492,plain,
( p6(sK59)
| p5(sK59)
| sP134_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5082]) ).
cnf(c_41920,plain,
( ~ sP128_iProver_split(sK55)
| ~ sP132_iProver_split(sK54) ),
inference(superposition,[status(thm)],[c_139,c_5074]) ).
cnf(c_42237,plain,
( p7(sK59)
| p6(sK59)
| sP127_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5054]) ).
cnf(c_42703,plain,
( ~ sP119_iProver_split(sK54)
| ~ sP124_iProver_split(sK53) ),
inference(superposition,[status(thm)],[c_140,c_5044]) ).
cnf(c_43081,plain,
( p8(sK59)
| p7(sK59)
| sP118_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5022]) ).
cnf(c_43344,plain,
( ~ sP108_iProver_split(sK53)
| ~ sP114_iProver_split(sK52) ),
inference(superposition,[status(thm)],[c_141,c_5010]) ).
cnf(c_43560,plain,
( p9(sK59)
| p8(sK59)
| sP107_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_4986]) ).
cnf(c_43815,plain,
( ~ sP95_iProver_split(sK52)
| ~ sP102_iProver_split(sK51) ),
inference(superposition,[status(thm)],[c_142,c_4972]) ).
cnf(c_44081,plain,
( p10(sK59)
| p9(sK59)
| sP94_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_4946]) ).
cnf(c_44411,plain,
( ~ sP80_iProver_split(sK51)
| ~ sP88_iProver_split(sK50) ),
inference(superposition,[status(thm)],[c_143,c_4930]) ).
cnf(c_44677,plain,
( p11(sK59)
| p10(sK59)
| sP79_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_4902]) ).
cnf(c_44934,plain,
( ~ sP63_iProver_split(sK50)
| ~ sP72_iProver_split(sK49) ),
inference(superposition,[status(thm)],[c_144,c_4884]) ).
cnf(c_45256,plain,
( p12(sK59)
| p11(sK59)
| sP62_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_4854]) ).
cnf(c_45826,plain,
( ~ sP44_iProver_split(sK49)
| ~ sP54_iProver_split(sK48) ),
inference(superposition,[status(thm)],[c_145,c_4834]) ).
cnf(c_46191,plain,
( p13(sK59)
| p12(sK59)
| sP43_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_4802]) ).
cnf(c_46761,plain,
( ~ sP23_iProver_split(sK48)
| ~ sP34_iProver_split(sK47) ),
inference(superposition,[status(thm)],[c_146,c_4780]) ).
cnf(c_47072,plain,
( p14(sK59)
| p13(sK59)
| sP22_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_4746]) ).
cnf(c_47550,plain,
( ~ sP0_iProver_split(sK47)
| ~ sP12_iProver_split(sK46) ),
inference(superposition,[status(thm)],[c_147,c_4722]) ).
cnf(c_48077,plain,
( ~ r1(sK24,sK44)
| sP11(sK45) ),
inference(superposition,[status(thm)],[c_149,c_126]) ).
cnf(c_48804,plain,
( ~ r1(sK58,sK59)
| ~ p14(sK59)
| ~ p15(sK59)
| sP156_iProver_split(sK58) ),
inference(instantiation,[status(thm)],[c_5195]) ).
cnf(c_53732,plain,
( ~ p1(sK59)
| ~ p15(sK59)
| sP182_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5259]) ).
cnf(c_54253,plain,
( ~ p3(sK59)
| ~ p2(sK59)
| sP142_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5142]) ).
cnf(c_54512,plain,
( ~ p1(sK59)
| ~ p2(sK59)
| sP142_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5129]) ).
cnf(c_54874,plain,
( ~ p4(sK59)
| ~ p3(sK59)
| sP140_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5115]) ).
cnf(c_55033,plain,
( ~ p5(sK59)
| ~ p4(sK59)
| sP137_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5095]) ).
cnf(c_55049,plain,
( ~ p4(sK59)
| ~ p5(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_55033,c_150,c_18478,c_18582,c_18845,c_36610,c_36723,c_36937,c_37151,c_37264,c_37483,c_37697,c_37810,c_38031,c_41270,c_48077,c_55033]) ).
cnf(c_55050,plain,
( ~ p5(sK59)
| ~ p4(sK59) ),
inference(renaming,[status(thm)],[c_55049]) ).
cnf(c_55298,plain,
( ~ p6(sK59)
| ~ p5(sK59)
| sP131_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5070]) ).
cnf(c_55314,plain,
( ~ p5(sK59)
| ~ p6(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_55298,c_150,c_136,c_6407,c_16207,c_18955,c_19166,c_36723,c_36937,c_37151,c_37264,c_37483,c_37697,c_37810,c_38031,c_41920,c_48077,c_55298]) ).
cnf(c_55315,plain,
( ~ p6(sK59)
| ~ p5(sK59) ),
inference(renaming,[status(thm)],[c_55314]) ).
cnf(c_55548,plain,
( ~ p7(sK59)
| ~ p6(sK59)
| sP123_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5040]) ).
cnf(c_55564,plain,
( ~ p6(sK59)
| ~ p7(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_55548,c_150,c_136,c_6612,c_16210,c_19538,c_19747,c_19962,c_36937,c_37151,c_37264,c_37483,c_37697,c_37810,c_38031,c_42703,c_48077,c_55548]) ).
cnf(c_55565,plain,
( ~ p7(sK59)
| ~ p6(sK59) ),
inference(renaming,[status(thm)],[c_55564]) ).
cnf(c_55813,plain,
( ~ p8(sK59)
| ~ p7(sK59)
| sP113_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_5006]) ).
cnf(c_55829,plain,
( ~ p7(sK59)
| ~ p8(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_55813,c_150,c_136,c_6866,c_16213,c_20547,c_20699,c_20911,c_21021,c_37151,c_37264,c_37483,c_37697,c_37810,c_38031,c_43344,c_48077,c_55813]) ).
cnf(c_55830,plain,
( ~ p8(sK59)
| ~ p7(sK59) ),
inference(renaming,[status(thm)],[c_55829]) ).
cnf(c_56072,plain,
( ~ p9(sK59)
| ~ p8(sK59)
| sP101_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_4968]) ).
cnf(c_56088,plain,
( ~ p8(sK59)
| ~ p9(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_56072,c_150,c_136,c_7426,c_16216,c_21974,c_22077,c_22338,c_22550,c_22767,c_37264,c_37483,c_37697,c_37810,c_38031,c_43815,c_48077,c_56072]) ).
cnf(c_56089,plain,
( ~ p9(sK59)
| ~ p8(sK59) ),
inference(renaming,[status(thm)],[c_56088]) ).
cnf(c_56334,plain,
( ~ p10(sK59)
| ~ p9(sK59)
| sP87_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_4926]) ).
cnf(c_56350,plain,
( ~ p9(sK59)
| ~ p10(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_56334,c_150,c_136,c_7835,c_16219,c_23721,c_24036,c_24191,c_24403,c_24615,c_24838,c_37483,c_37697,c_37810,c_38031,c_44411,c_48077,c_56334]) ).
cnf(c_56351,plain,
( ~ p10(sK59)
| ~ p9(sK59) ),
inference(renaming,[status(thm)],[c_56350]) ).
cnf(c_56593,plain,
( ~ p11(sK59)
| ~ p10(sK59)
| sP71_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_4880]) ).
cnf(c_56609,plain,
( ~ p10(sK59)
| ~ p11(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_56593,c_150,c_136,c_8191,c_16222,c_25932,c_26141,c_26251,c_26468,c_26742,c_26848,c_27067,c_37697,c_37810,c_38031,c_44934,c_48077,c_56593]) ).
cnf(c_56610,plain,
( ~ p11(sK59)
| ~ p10(sK59) ),
inference(renaming,[status(thm)],[c_56609]) ).
cnf(c_56961,plain,
( ~ p12(sK59)
| ~ p11(sK59)
| sP53_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_4830]) ).
cnf(c_56977,plain,
( ~ p11(sK59)
| ~ p12(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_56961,c_150,c_136,c_8649,c_16225,c_28428,c_28638,c_28855,c_29023,c_29341,c_29447,c_29659,c_29879,c_37810,c_38031,c_45826,c_48077,c_56961]) ).
cnf(c_56978,plain,
( ~ p12(sK59)
| ~ p11(sK59) ),
inference(renaming,[status(thm)],[c_56977]) ).
cnf(c_57217,plain,
( ~ p13(sK59)
| ~ p12(sK59)
| sP33_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_4776]) ).
cnf(c_57233,plain,
~ p12(sK59),
inference(global_subsumption_just,[status(thm)],[c_57217,c_150,c_149,c_148,c_136,c_135,c_5760,c_6114,c_6510,c_7071,c_7987,c_9005,c_9210,c_9883,c_9989,c_10246,c_10454,c_10662,c_10817,c_11025,c_11131,c_11388,c_11596,c_13890,c_15816,c_15894,c_16106,c_16229,c_16228,c_16220,c_16214,c_16208,c_16367,c_16579,c_16734,c_16946,c_17101,c_17313,c_17419,c_17642,c_17788,c_18002,c_18213,c_18478,c_18582,c_18845,c_19378,c_19538,c_19962,c_21282,c_21494,c_21755,c_21974,c_22767,c_24948,c_25066,c_25119,c_25331,c_25543,c_25662,c_25711,c_25932,c_27067,c_27181,c_28958,c_31407,c_31515,c_31727,c_31944,c_32156,c_32376,c_32484,c_32696,c_32816,c_33033,c_33245,c_33354,c_33568,c_33679,c_33891,c_34106,c_34327,c_34451,c_36073,c_36177,c_36391,c_36610,c_36723,c_36937,c_37151,c_37264,c_37483,c_37697,c_37810,c_38031,c_39716,c_39934,c_40334,c_40801,c_41017,c_41270,c_42237,c_42703,c_43560,c_43815,c_44677,c_44934,c_46761,c_47072,c_47550,c_48077,c_48804,c_54512,c_54874,c_55315,c_55830,c_56351,c_56978,c_57217]) ).
cnf(c_57473,plain,
( ~ p14(sK59)
| ~ p13(sK59)
| sP11_iProver_split(sK58) ),
inference(superposition,[status(thm)],[c_135,c_4718]) ).
cnf(c_57489,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_57473,c_57233,c_56610,c_56089,c_55565,c_55050,c_54253,c_53732,c_48077,c_47550,c_46761,c_46191,c_45826,c_45256,c_44411,c_44081,c_43344,c_43081,c_41920,c_41492,c_40801,c_40547,c_40334,c_40081,c_38919,c_38706,c_38031,c_37810,c_37697,c_37483,c_37264,c_37151,c_36937,c_36723,c_36610,c_36391,c_36177,c_36073,c_35848,c_35630,c_35519,c_35303,c_35196,c_34984,c_34767,c_34661,c_34451,c_32816,c_31407,c_31285,c_31068,c_30856,c_30745,c_30533,c_30422,c_29988,c_29879,c_28428,c_28308,c_28091,c_27874,c_27660,c_27447,c_27235,c_27181,c_26573,c_25662,c_25066,c_24838,c_23721,c_23558,c_23346,c_23134,c_22922,c_21021,c_20547,c_20329,c_20117,c_19166,c_18955,c_18213,c_18002,c_17788,c_17642,c_16205,c_16211,c_16217,c_16223,c_16226,c_16231,c_15730,c_15624,c_15412,c_15151,c_14939,c_14727,c_14515,c_14312,c_13994,c_13890,c_13675,c_13463,c_13315,c_13103,c_12948,c_12736,c_12524,c_12279,c_12071,c_11814,c_9414,c_8854,c_8396,c_7529,c_6764,c_6256,c_6012,c_5911,c_136,c_148,c_149,c_150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL650+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 18:57:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 28.85/4.70 % SZS status Started for theBenchmark.p
% 28.85/4.70 % SZS status Theorem for theBenchmark.p
% 28.85/4.70
% 28.85/4.70 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 28.85/4.70
% 28.85/4.70 ------ iProver source info
% 28.85/4.70
% 28.85/4.70 git: date: 2023-05-31 18:12:56 +0000
% 28.85/4.70 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 28.85/4.70 git: non_committed_changes: false
% 28.85/4.70 git: last_make_outside_of_git: false
% 28.85/4.70
% 28.85/4.70 ------ Parsing...
% 28.85/4.70 ------ Clausification by vclausify_rel & Parsing by iProver...
% 28.85/4.70
% 28.85/4.70 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 28.85/4.70
% 28.85/4.70 ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 240 0s scvd_e snvd_s sp: 0 0s snvd_e
% 28.85/4.70 ------ Proving...
% 28.85/4.70 ------ Problem Properties
% 28.85/4.70
% 28.85/4.70
% 28.85/4.70 clauses 297
% 28.85/4.70 conjectures 92
% 28.85/4.70 EPR 270
% 28.85/4.70 Horn 260
% 28.85/4.70 unary 33
% 28.85/4.70 binary 1
% 28.85/4.70 lits 854
% 28.85/4.70 lits eq 0
% 28.85/4.70 fd_pure 0
% 28.85/4.70 fd_pseudo 0
% 28.85/4.70 fd_cond 0
% 28.85/4.70 fd_pseudo_cond 0
% 28.85/4.70 AC symbols 0
% 28.85/4.70
% 28.85/4.70 ------ Input Options Time Limit: Unbounded
% 28.85/4.70
% 28.85/4.70
% 28.85/4.70 ------
% 28.85/4.70 Current options:
% 28.85/4.70 ------
% 28.85/4.70
% 28.85/4.70
% 28.85/4.70
% 28.85/4.70
% 28.85/4.70 ------ Proving...
% 28.85/4.70
% 28.85/4.70
% 28.85/4.70 % SZS status Theorem for theBenchmark.p
% 28.85/4.70
% 28.85/4.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.85/4.70
% 28.85/4.70
%------------------------------------------------------------------------------