%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL650+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:07:06 PM UTC 2026
% Result : Theorem 39.38s 6.31s
% Output : CNFRefutation 39.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 498 ( 34 unt; 12 def)
% Number of atoms : 4969 ( 0 equ)
% Maximal formula atoms : 289 ( 9 avg)
% Number of connectives : 8598 (4127 ~;3691 |; 780 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 103 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 143 ( 142 usr; 1 prp; 0-2 aty)
% Number of functors : 48 ( 48 usr; 34 con; 0-1 aty)
% Number of variables : 3071 ( 0 sgn2908 !; 163 ?; 618 :)
% 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/sandbox/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,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X167] :
( ! [X168] :
( ! [X169] :
( ! [X170] :
( ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] :
( ! [X175] :
( ! [X176] :
( ! [X177] :
( ! [X178] :
( ! [X179] :
( ! [X180] :
( ! [X181] :
( ! [X182] :
( ( p1(X182)
& p2(X182)
& p3(X182)
& p4(X182)
& p5(X182)
& p6(X182)
& p7(X182)
& p8(X182)
& p9(X182)
& p10(X182)
& p11(X182)
& p12(X182)
& p13(X182)
& p14(X182)
& p15(X182)
& p16(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) )
| ~ ! [X18] :
( ~ ( ~ ! [X35] :
( ~ ( ~ ! [X51] :
( ~ ( ~ ! [X66] :
( ~ ( ~ ! [X80] :
( ~ ( ~ ! [X93] :
( ~ ( ~ ! [X105] :
( ~ ( ~ ! [X116] :
( ~ ( ~ ! [X126] :
( ~ ( ~ ! [X135] :
( ~ ( ~ ! [X143] :
( ~ ( ~ ! [X150] :
( ~ ( ~ ! [X156] :
( ~ ( ~ ! [X161] :
( ~ ( ~ ! [X165] :
( ~ ~ ! [X166] :
( ~ ( ( p1(X166)
& p2(X166) )
| ( ~ p2(X166)
& ~ p1(X166) ) )
| ~ r1(X165,X166) )
| ~ r1(X161,X165) )
| ! [X164] :
( p3(X164)
| ~ r1(X161,X164) )
| ~ ! [X162] :
( ! [X163] :
( ~ ( ( p2(X163)
& p3(X163) )
| ( ~ p3(X163)
& ~ p2(X163) ) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) ) )
| ~ r1(X156,X161) )
| ! [X160] :
( p4(X160)
| ~ r1(X156,X160) )
| ~ ! [X157] :
( ! [X158] :
( ! [X159] :
( ~ ( ( p3(X159)
& p4(X159) )
| ( ~ p4(X159)
& ~ p3(X159) ) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) ) )
| ~ r1(X150,X156) )
| ! [X155] :
( p5(X155)
| ~ r1(X150,X155) )
| ~ ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ~ ( ( p4(X154)
& p5(X154) )
| ( ~ p5(X154)
& ~ p4(X154) ) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X150,X151) ) )
| ~ r1(X143,X150) )
| ! [X149] :
( p6(X149)
| ~ r1(X143,X149) )
| ~ ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ~ ( ( p5(X148)
& p6(X148) )
| ( ~ p6(X148)
& ~ p5(X148) ) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) ) )
| ~ r1(X135,X143) )
| ! [X142] :
( p7(X142)
| ~ r1(X135,X142) )
| ~ ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ~ ( ( p6(X141)
& p7(X141) )
| ( ~ p7(X141)
& ~ p6(X141) ) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X135,X136) ) )
| ~ r1(X126,X135) )
| ! [X134] :
( p8(X134)
| ~ r1(X126,X134) )
| ~ ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ~ ( ( p7(X133)
& p8(X133) )
| ( ~ p8(X133)
& ~ p7(X133) ) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) ) )
| ~ r1(X116,X126) )
| ! [X125] :
( p9(X125)
| ~ r1(X116,X125) )
| ~ ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ~ ( ( p8(X124)
& p9(X124) )
| ( ~ p9(X124)
& ~ p8(X124) ) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) ) )
| ~ r1(X105,X116) )
| ! [X115] :
( p10(X115)
| ~ r1(X105,X115) )
| ~ ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ~ ( ( p9(X114)
& p10(X114) )
| ( ~ p10(X114)
& ~ p9(X114) ) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) ) )
| ~ r1(X93,X105) )
| ! [X104] :
( p11(X104)
| ~ r1(X93,X104) )
| ~ ! [X94] :
( ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ~ ( ( p10(X103)
& p11(X103) )
| ( ~ p11(X103)
& ~ p10(X103) ) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) ) )
| ~ r1(X80,X93) )
| ! [X92] :
( p12(X92)
| ~ r1(X80,X92) )
| ~ ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ~ ( ( p11(X91)
& p12(X91) )
| ( ~ p12(X91)
& ~ p11(X91) ) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) ) )
| ~ r1(X66,X80) )
| ! [X79] :
( p13(X79)
| ~ r1(X66,X79) )
| ~ ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ~ ( ( p12(X78)
& p13(X78) )
| ( ~ p13(X78)
& ~ p12(X78) ) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X74,X75) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) ) )
| ~ r1(X51,X66) )
| ! [X65] :
( p14(X65)
| ~ r1(X51,X65) )
| ~ ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ~ ( ( p13(X64)
& p14(X64) )
| ( ~ p14(X64)
& ~ p13(X64) ) )
| ~ 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(X35,X51) )
| ! [X50] :
( p15(X50)
| ~ r1(X35,X50) )
| ~ ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ~ ( ( p14(X49)
& p15(X49) )
| ( ~ p15(X49)
& ~ p14(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(X18,X35) )
| ! [X34] :
( p16(X34)
| ~ r1(X18,X34) )
| ~ ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ ( ( p15(X33)
& p1(X33) )
| ( ~ p1(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(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) )
| ! [X17] :
( p17(X17)
| ~ r1(X0,X17) )
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ( ~ p2(X16)
& ~ p4(X16)
& ~ p6(X16)
& ~ p8(X16)
& ~ p10(X16)
& ~ p12(X16)
& ~ p14(X16)
& ~ p16(X16)
& ~ p18(X16)
& ~ p20(X16)
& ~ p22(X16)
& ~ p24(X16)
& ~ p26(X16)
& ~ p28(X16)
& ~ p30(X16)
& ~ p32(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) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ! [X167] :
( ! [X168] :
( ! [X169] :
( ! [X170] :
( ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] :
( ! [X175] :
( ! [X176] :
( ! [X177] :
( ! [X178] :
( ! [X179] :
( ! [X180] :
( ! [X181] :
( ! [X182] :
( ( p1(X182)
& p2(X182)
& p3(X182)
& p4(X182)
& p5(X182)
& p6(X182)
& p7(X182)
& p8(X182)
& p9(X182)
& p10(X182)
& p11(X182)
& p12(X182)
& p13(X182)
& p14(X182)
& p15(X182)
& p16(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) )
| ~ ! [X18] :
( ~ ( ~ ! [X35] :
( ~ ( ~ ! [X51] :
( ~ ( ~ ! [X66] :
( ~ ( ~ ! [X80] :
( ~ ( ~ ! [X93] :
( ~ ( ~ ! [X105] :
( ~ ( ~ ! [X116] :
( ~ ( ~ ! [X126] :
( ~ ( ~ ! [X135] :
( ~ ( ~ ! [X143] :
( ~ ( ~ ! [X150] :
( ~ ( ~ ! [X156] :
( ~ ( ~ ! [X161] :
( ~ ( ~ ! [X165] :
( ! [X166] :
( ~ ( ( p1(X166)
& p2(X166) )
| ( ~ p2(X166)
& ~ p1(X166) ) )
| ~ r1(X165,X166) )
| ~ r1(X161,X165) )
| ! [X164] :
( p3(X164)
| ~ r1(X161,X164) )
| ~ ! [X162] :
( ! [X163] :
( ~ ( ( p2(X163)
& p3(X163) )
| ( ~ p3(X163)
& ~ p2(X163) ) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) ) )
| ~ r1(X156,X161) )
| ! [X160] :
( p4(X160)
| ~ r1(X156,X160) )
| ~ ! [X157] :
( ! [X158] :
( ! [X159] :
( ~ ( ( p3(X159)
& p4(X159) )
| ( ~ p4(X159)
& ~ p3(X159) ) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) ) )
| ~ r1(X150,X156) )
| ! [X155] :
( p5(X155)
| ~ r1(X150,X155) )
| ~ ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ~ ( ( p4(X154)
& p5(X154) )
| ( ~ p5(X154)
& ~ p4(X154) ) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X150,X151) ) )
| ~ r1(X143,X150) )
| ! [X149] :
( p6(X149)
| ~ r1(X143,X149) )
| ~ ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ~ ( ( p5(X148)
& p6(X148) )
| ( ~ p6(X148)
& ~ p5(X148) ) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) ) )
| ~ r1(X135,X143) )
| ! [X142] :
( p7(X142)
| ~ r1(X135,X142) )
| ~ ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ~ ( ( p6(X141)
& p7(X141) )
| ( ~ p7(X141)
& ~ p6(X141) ) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X135,X136) ) )
| ~ r1(X126,X135) )
| ! [X134] :
( p8(X134)
| ~ r1(X126,X134) )
| ~ ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ~ ( ( p7(X133)
& p8(X133) )
| ( ~ p8(X133)
& ~ p7(X133) ) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) ) )
| ~ r1(X116,X126) )
| ! [X125] :
( p9(X125)
| ~ r1(X116,X125) )
| ~ ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ~ ( ( p8(X124)
& p9(X124) )
| ( ~ p9(X124)
& ~ p8(X124) ) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) ) )
| ~ r1(X105,X116) )
| ! [X115] :
( p10(X115)
| ~ r1(X105,X115) )
| ~ ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ~ ( ( p9(X114)
& p10(X114) )
| ( ~ p10(X114)
& ~ p9(X114) ) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) ) )
| ~ r1(X93,X105) )
| ! [X104] :
( p11(X104)
| ~ r1(X93,X104) )
| ~ ! [X94] :
( ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ~ ( ( p10(X103)
& p11(X103) )
| ( ~ p11(X103)
& ~ p10(X103) ) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) ) )
| ~ r1(X80,X93) )
| ! [X92] :
( p12(X92)
| ~ r1(X80,X92) )
| ~ ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ~ ( ( p11(X91)
& p12(X91) )
| ( ~ p12(X91)
& ~ p11(X91) ) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) ) )
| ~ r1(X66,X80) )
| ! [X79] :
( p13(X79)
| ~ r1(X66,X79) )
| ~ ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ~ ( ( p12(X78)
& p13(X78) )
| ( ~ p13(X78)
& ~ p12(X78) ) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X74,X75) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) ) )
| ~ r1(X51,X66) )
| ! [X65] :
( p14(X65)
| ~ r1(X51,X65) )
| ~ ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ~ ( ( p13(X64)
& p14(X64) )
| ( ~ p14(X64)
& ~ p13(X64) ) )
| ~ 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(X35,X51) )
| ! [X50] :
( p15(X50)
| ~ r1(X35,X50) )
| ~ ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ~ ( ( p14(X49)
& p15(X49) )
| ( ~ p15(X49)
& ~ p14(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(X18,X35) )
| ! [X34] :
( p16(X34)
| ~ r1(X18,X34) )
| ~ ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ ( ( p15(X33)
& p1(X33) )
| ( ~ p1(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(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) )
| ! [X17] :
( p17(X17)
| ~ r1(X0,X17) )
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ( ~ p2(X16)
& ~ p4(X16)
& ~ p6(X16)
& ~ p8(X16)
& ~ p10(X16)
& ~ p12(X16)
& ~ p14(X16)
& ~ p16(X16)
& ~ p18(X16)
& ~ p20(X16)
& ~ p22(X16)
& ~ p24(X16)
& ~ p26(X16)
& ~ p28(X16)
& ~ p30(X16)
& ~ p32(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) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X167] :
( ! [X168] :
( ! [X169] :
( ! [X170] :
( ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] :
( ! [X175] :
( ! [X176] :
( ! [X177] :
( ! [X178] :
( ! [X179] :
( ! [X180] :
( ! [X181] :
( ! [X182] :
( ( p1(X182)
& p2(X182)
& p3(X182)
& p4(X182)
& p5(X182)
& p6(X182)
& p7(X182)
& p8(X182)
& p9(X182)
& p10(X182)
& p11(X182)
& p12(X182)
& p13(X182)
& p14(X182)
& p15(X182)
& p16(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) )
| ~ ! [X18] :
( ~ ( ~ ! [X35] :
( ~ ( ~ ! [X51] :
( ~ ( ~ ! [X66] :
( ~ ( ~ ! [X80] :
( ~ ( ~ ! [X93] :
( ~ ( ~ ! [X105] :
( ~ ( ~ ! [X116] :
( ~ ( ~ ! [X126] :
( ~ ( ~ ! [X135] :
( ~ ( ~ ! [X143] :
( ~ ( ~ ! [X150] :
( ~ ( ~ ! [X156] :
( ~ ( ~ ! [X161] :
( ~ ( ~ ! [X165] :
( ! [X166] :
( ~ ( ( p1(X166)
& p2(X166) )
| ( ~ p2(X166)
& ~ p1(X166) ) )
| ~ r1(X165,X166) )
| ~ r1(X161,X165) )
| ! [X164] :
( p3(X164)
| ~ r1(X161,X164) )
| ~ ! [X162] :
( ! [X163] :
( ~ ( ( p2(X163)
& p3(X163) )
| ( ~ p3(X163)
& ~ p2(X163) ) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) ) )
| ~ r1(X156,X161) )
| ! [X160] :
( p4(X160)
| ~ r1(X156,X160) )
| ~ ! [X157] :
( ! [X158] :
( ! [X159] :
( ~ ( ( p3(X159)
& p4(X159) )
| ( ~ p4(X159)
& ~ p3(X159) ) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) ) )
| ~ r1(X150,X156) )
| ! [X155] :
( p5(X155)
| ~ r1(X150,X155) )
| ~ ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ~ ( ( p4(X154)
& p5(X154) )
| ( ~ p5(X154)
& ~ p4(X154) ) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X150,X151) ) )
| ~ r1(X143,X150) )
| ! [X149] :
( p6(X149)
| ~ r1(X143,X149) )
| ~ ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ~ ( ( p5(X148)
& p6(X148) )
| ( ~ p6(X148)
& ~ p5(X148) ) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) ) )
| ~ r1(X135,X143) )
| ! [X142] :
( p7(X142)
| ~ r1(X135,X142) )
| ~ ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ~ ( ( p6(X141)
& p7(X141) )
| ( ~ p7(X141)
& ~ p6(X141) ) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X135,X136) ) )
| ~ r1(X126,X135) )
| ! [X134] :
( p8(X134)
| ~ r1(X126,X134) )
| ~ ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ~ ( ( p7(X133)
& p8(X133) )
| ( ~ p8(X133)
& ~ p7(X133) ) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) ) )
| ~ r1(X116,X126) )
| ! [X125] :
( p9(X125)
| ~ r1(X116,X125) )
| ~ ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ~ ( ( p8(X124)
& p9(X124) )
| ( ~ p9(X124)
& ~ p8(X124) ) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) ) )
| ~ r1(X105,X116) )
| ! [X115] :
( p10(X115)
| ~ r1(X105,X115) )
| ~ ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ~ ( ( p9(X114)
& p10(X114) )
| ( ~ p10(X114)
& ~ p9(X114) ) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) ) )
| ~ r1(X93,X105) )
| ! [X104] :
( p11(X104)
| ~ r1(X93,X104) )
| ~ ! [X94] :
( ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ~ ( ( p10(X103)
& p11(X103) )
| ( ~ p11(X103)
& ~ p10(X103) ) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) ) )
| ~ r1(X80,X93) )
| ! [X92] :
( p12(X92)
| ~ r1(X80,X92) )
| ~ ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ~ ( ( p11(X91)
& p12(X91) )
| ( ~ p12(X91)
& ~ p11(X91) ) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) ) )
| ~ r1(X66,X80) )
| ! [X79] :
( p13(X79)
| ~ r1(X66,X79) )
| ~ ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ~ ( ( p12(X78)
& p13(X78) )
| ( ~ p13(X78)
& ~ p12(X78) ) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X74,X75) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) ) )
| ~ r1(X51,X66) )
| ! [X65] :
( p14(X65)
| ~ r1(X51,X65) )
| ~ ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ~ ( ( p13(X64)
& p14(X64) )
| ( ~ p14(X64)
& ~ p13(X64) ) )
| ~ 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(X35,X51) )
| ! [X50] :
( p15(X50)
| ~ r1(X35,X50) )
| ~ ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ~ ( ( p14(X49)
& p15(X49) )
| ( ~ p15(X49)
& ~ p14(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(X18,X35) )
| ! [X34] :
( p16(X34)
| ~ r1(X18,X34) )
| ~ ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ ( ( p15(X33)
& p1(X33) )
| ( ~ p1(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(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) )
| ! [X17] : ~ r1(X0,X17)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ( ~ p2(X16)
& ~ p4(X16)
& ~ p6(X16)
& ~ p8(X16)
& ~ p10(X16)
& ~ p12(X16)
& ~ p14(X16)
& ~ p16(X16)
& ~ p18(X16)
& ~ p20(X16)
& ~ p22(X16)
& ~ p24(X16)
& ~ p26(X16)
& ~ p28(X16)
& ~ p30(X16)
& ~ p32(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) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ! [X167] :
( ! [X168] :
( ! [X169] :
( ! [X170] :
( ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] :
( ! [X175] :
( ! [X176] :
( ! [X177] :
( ! [X178] :
( ! [X179] :
( ! [X180] :
( ! [X181] :
( ! [X182] :
( ( p1(X182)
& p2(X182)
& p3(X182)
& p4(X182)
& p5(X182)
& p6(X182)
& p7(X182)
& p8(X182)
& p9(X182)
& p10(X182)
& p11(X182)
& p12(X182)
& p13(X182)
& p14(X182)
& p15(X182)
& p16(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) )
| ~ ! [X18] :
( ~ ( ~ ! [X35] :
( ~ ( ~ ! [X51] :
( ~ ( ~ ! [X66] :
( ~ ( ~ ! [X80] :
( ~ ( ~ ! [X93] :
( ~ ( ~ ! [X105] :
( ~ ( ~ ! [X116] :
( ~ ( ~ ! [X126] :
( ~ ( ~ ! [X135] :
( ~ ( ~ ! [X143] :
( ~ ( ~ ! [X150] :
( ~ ( ~ ! [X156] :
( ~ ( ~ ! [X161] :
( ~ ( ~ ! [X165] :
( ! [X166] :
( ~ ( ( p1(X166)
& p2(X166) )
| ( ~ p2(X166)
& ~ p1(X166) ) )
| ~ r1(X165,X166) )
| ~ r1(X161,X165) )
| ! [X164] :
( p3(X164)
| ~ r1(X161,X164) )
| ~ ! [X162] :
( ! [X163] :
( ~ ( ( p2(X163)
& p3(X163) )
| ( ~ p3(X163)
& ~ p2(X163) ) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) ) )
| ~ r1(X156,X161) )
| ! [X160] :
( p4(X160)
| ~ r1(X156,X160) )
| ~ ! [X157] :
( ! [X158] :
( ! [X159] :
( ~ ( ( p3(X159)
& p4(X159) )
| ( ~ p4(X159)
& ~ p3(X159) ) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) ) )
| ~ r1(X150,X156) )
| ! [X155] :
( p5(X155)
| ~ r1(X150,X155) )
| ~ ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ~ ( ( p4(X154)
& p5(X154) )
| ( ~ p5(X154)
& ~ p4(X154) ) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X150,X151) ) )
| ~ r1(X143,X150) )
| ! [X149] :
( p6(X149)
| ~ r1(X143,X149) )
| ~ ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ~ ( ( p5(X148)
& p6(X148) )
| ( ~ p6(X148)
& ~ p5(X148) ) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) ) )
| ~ r1(X135,X143) )
| ! [X142] :
( p7(X142)
| ~ r1(X135,X142) )
| ~ ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ~ ( ( p6(X141)
& p7(X141) )
| ( ~ p7(X141)
& ~ p6(X141) ) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X135,X136) ) )
| ~ r1(X126,X135) )
| ! [X134] :
( p8(X134)
| ~ r1(X126,X134) )
| ~ ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ~ ( ( p7(X133)
& p8(X133) )
| ( ~ p8(X133)
& ~ p7(X133) ) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) ) )
| ~ r1(X116,X126) )
| ! [X125] :
( p9(X125)
| ~ r1(X116,X125) )
| ~ ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ~ ( ( p8(X124)
& p9(X124) )
| ( ~ p9(X124)
& ~ p8(X124) ) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) ) )
| ~ r1(X105,X116) )
| ! [X115] :
( p10(X115)
| ~ r1(X105,X115) )
| ~ ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ~ ( ( p9(X114)
& p10(X114) )
| ( ~ p10(X114)
& ~ p9(X114) ) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) ) )
| ~ r1(X93,X105) )
| ! [X104] :
( p11(X104)
| ~ r1(X93,X104) )
| ~ ! [X94] :
( ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ~ ( ( p10(X103)
& p11(X103) )
| ( ~ p11(X103)
& ~ p10(X103) ) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) ) )
| ~ r1(X80,X93) )
| ! [X92] :
( p12(X92)
| ~ r1(X80,X92) )
| ~ ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ~ ( ( p11(X91)
& p12(X91) )
| ( ~ p12(X91)
& ~ p11(X91) ) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) ) )
| ~ r1(X66,X80) )
| ! [X79] :
( p13(X79)
| ~ r1(X66,X79) )
| ~ ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ~ ( ( p12(X78)
& p13(X78) )
| ( ~ p13(X78)
& ~ p12(X78) ) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X74,X75) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) ) )
| ~ r1(X51,X66) )
| ! [X65] :
( p14(X65)
| ~ r1(X51,X65) )
| ~ ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ~ ( ( p13(X64)
& p14(X64) )
| ( ~ p14(X64)
& ~ p13(X64) ) )
| ~ 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(X35,X51) )
| ! [X50] :
( p15(X50)
| ~ r1(X35,X50) )
| ~ ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ~ ( ( p14(X49)
& p15(X49) )
| ( ~ p15(X49)
& ~ p14(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(X18,X35) )
| ! [X34] :
( p16(X34)
| ~ r1(X18,X34) )
| ~ ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ ( ( p15(X33)
& p1(X33) )
| ( ~ p1(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(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) )
| ! [X17] : ~ r1(X0,X17)
| ! [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) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ! [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) )
| ~ ! [X18] :
( ~ ( ~ ! [X35] :
( ~ ( ~ ! [X51] :
( ~ ( ~ ! [X66] :
( ~ ( ~ ! [X80] :
( ~ ( ~ ! [X93] :
( ~ ( ~ ! [X105] :
( ~ ( ~ ! [X116] :
( ~ ( ~ ! [X126] :
( ~ ( ~ ! [X135] :
( ~ ( ~ ! [X143] :
( ~ ( ~ ! [X150] :
( ~ ( ~ ! [X156] :
( ~ ( ~ ! [X161] :
( ~ ( ~ ! [X165] :
( ! [X166] :
( ~ ( ( p1(X166)
& p2(X166) )
| ( ~ p2(X166)
& ~ p1(X166) ) )
| ~ r1(X165,X166) )
| ~ r1(X161,X165) )
| ! [X164] :
( p3(X164)
| ~ r1(X161,X164) )
| ~ ! [X162] :
( ! [X163] :
( ~ ( ( p2(X163)
& p3(X163) )
| ( ~ p3(X163)
& ~ p2(X163) ) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) ) )
| ~ r1(X156,X161) )
| ! [X160] :
( p4(X160)
| ~ r1(X156,X160) )
| ~ ! [X157] :
( ! [X158] :
( ! [X159] :
( ~ ( ( p3(X159)
& p4(X159) )
| ( ~ p4(X159)
& ~ p3(X159) ) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) ) )
| ~ r1(X150,X156) )
| ! [X155] :
( p5(X155)
| ~ r1(X150,X155) )
| ~ ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ~ ( ( p4(X154)
& p5(X154) )
| ( ~ p5(X154)
& ~ p4(X154) ) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X150,X151) ) )
| ~ r1(X143,X150) )
| ! [X149] :
( p6(X149)
| ~ r1(X143,X149) )
| ~ ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ~ ( ( p5(X148)
& p6(X148) )
| ( ~ p6(X148)
& ~ p5(X148) ) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) ) )
| ~ r1(X135,X143) )
| ! [X142] :
( p7(X142)
| ~ r1(X135,X142) )
| ~ ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ~ ( ( p6(X141)
& p7(X141) )
| ( ~ p7(X141)
& ~ p6(X141) ) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X135,X136) ) )
| ~ r1(X126,X135) )
| ! [X134] :
( p8(X134)
| ~ r1(X126,X134) )
| ~ ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ~ ( ( p7(X133)
& p8(X133) )
| ( ~ p8(X133)
& ~ p7(X133) ) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) ) )
| ~ r1(X116,X126) )
| ! [X125] :
( p9(X125)
| ~ r1(X116,X125) )
| ~ ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ~ ( ( p8(X124)
& p9(X124) )
| ( ~ p9(X124)
& ~ p8(X124) ) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) ) )
| ~ r1(X105,X116) )
| ! [X115] :
( p10(X115)
| ~ r1(X105,X115) )
| ~ ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ~ ( ( p9(X114)
& p10(X114) )
| ( ~ p10(X114)
& ~ p9(X114) ) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) ) )
| ~ r1(X93,X105) )
| ! [X104] :
( p11(X104)
| ~ r1(X93,X104) )
| ~ ! [X94] :
( ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ~ ( ( p10(X103)
& p11(X103) )
| ( ~ p11(X103)
& ~ p10(X103) ) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) ) )
| ~ r1(X80,X93) )
| ! [X92] :
( p12(X92)
| ~ r1(X80,X92) )
| ~ ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ~ ( ( p11(X91)
& p12(X91) )
| ( ~ p12(X91)
& ~ p11(X91) ) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) ) )
| ~ r1(X66,X80) )
| ! [X79] :
( p13(X79)
| ~ r1(X66,X79) )
| ~ ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ~ ( ( p12(X78)
& p13(X78) )
| ( ~ p13(X78)
& ~ p12(X78) ) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X74,X75) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) ) )
| ~ r1(X51,X66) )
| ! [X65] :
( p14(X65)
| ~ r1(X51,X65) )
| ~ ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ~ ( ( p13(X64)
& p14(X64) )
| ( ~ p14(X64)
& ~ p13(X64) ) )
| ~ 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(X35,X51) )
| ! [X50] :
( p15(X50)
| ~ r1(X35,X50) )
| ~ ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ~ ( ( p14(X49)
& p15(X49) )
| ( ~ p15(X49)
& ~ p14(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(X18,X35) )
| ! [X34] : ~ r1(X18,X34)
| ~ ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ ( ( p15(X33)
& p1(X33) )
| ( ~ p1(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(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) )
| ! [X17] : ~ r1(X0,X17)
| ! [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) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ? [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) )
& ! [X18] :
( ( ! [X35] :
( ( ! [X51] :
( ( ! [X66] :
( ( ! [X80] :
( ( ! [X93] :
( ( ! [X105] :
( ( ! [X116] :
( ( ! [X126] :
( ( ! [X135] :
( ( ! [X143] :
( ( ! [X150] :
( ( ! [X156] :
( ( ! [X161] :
( ( ! [X165] :
( ! [X166] :
( ( ( ~ p1(X166)
| ~ p2(X166) )
& ( p2(X166)
| p1(X166) ) )
| ~ r1(X165,X166) )
| ~ r1(X161,X165) )
& ? [X164] :
( ~ p3(X164)
& r1(X161,X164) )
& ! [X162] :
( ! [X163] :
( ( ( ~ p2(X163)
| ~ p3(X163) )
& ( p3(X163)
| p2(X163) ) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) ) )
| ~ r1(X156,X161) )
& ? [X160] :
( ~ p4(X160)
& r1(X156,X160) )
& ! [X157] :
( ! [X158] :
( ! [X159] :
( ( ( ~ p3(X159)
| ~ p4(X159) )
& ( p4(X159)
| p3(X159) ) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) ) )
| ~ r1(X150,X156) )
& ? [X155] :
( ~ p5(X155)
& r1(X150,X155) )
& ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ( ( ~ p4(X154)
| ~ p5(X154) )
& ( p5(X154)
| p4(X154) ) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X150,X151) ) )
| ~ r1(X143,X150) )
& ? [X149] :
( ~ p6(X149)
& r1(X143,X149) )
& ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ( ( ~ p5(X148)
| ~ p6(X148) )
& ( p6(X148)
| p5(X148) ) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) ) )
| ~ r1(X135,X143) )
& ? [X142] :
( ~ p7(X142)
& r1(X135,X142) )
& ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ( ( ~ p6(X141)
| ~ p7(X141) )
& ( p7(X141)
| p6(X141) ) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X135,X136) ) )
| ~ r1(X126,X135) )
& ? [X134] :
( ~ p8(X134)
& r1(X126,X134) )
& ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ( ( ~ p7(X133)
| ~ p8(X133) )
& ( p8(X133)
| p7(X133) ) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) ) )
| ~ r1(X116,X126) )
& ? [X125] :
( ~ p9(X125)
& r1(X116,X125) )
& ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ( ( ~ p8(X124)
| ~ p9(X124) )
& ( p9(X124)
| p8(X124) ) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) ) )
| ~ r1(X105,X116) )
& ? [X115] :
( ~ p10(X115)
& r1(X105,X115) )
& ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ( ( ~ p9(X114)
| ~ p10(X114) )
& ( p10(X114)
| p9(X114) ) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) ) )
| ~ r1(X93,X105) )
& ? [X104] :
( ~ p11(X104)
& r1(X93,X104) )
& ! [X94] :
( ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ( ( ~ p10(X103)
| ~ p11(X103) )
& ( p11(X103)
| p10(X103) ) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) ) )
| ~ r1(X80,X93) )
& ? [X92] :
( ~ p12(X92)
& r1(X80,X92) )
& ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ( ( ~ p11(X91)
| ~ p12(X91) )
& ( p12(X91)
| p11(X91) ) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) ) )
| ~ r1(X66,X80) )
& ? [X79] :
( ~ p13(X79)
& r1(X66,X79) )
& ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ( ( ~ p12(X78)
| ~ p13(X78) )
& ( p13(X78)
| p12(X78) ) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X74,X75) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) ) )
| ~ r1(X51,X66) )
& ? [X65] :
( ~ p14(X65)
& r1(X51,X65) )
& ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ( ( ~ p13(X64)
| ~ p14(X64) )
& ( p14(X64)
| p13(X64) ) )
| ~ 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(X35,X51) )
& ? [X50] :
( ~ p15(X50)
& r1(X35,X50) )
& ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ( ( ~ p14(X49)
| ~ p15(X49) )
& ( p15(X49)
| p14(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(X18,X35) )
& ? [X34] : r1(X18,X34)
& ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ( ( ~ p15(X33)
| ~ p1(X33) )
& ( p1(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(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) )
& ? [X17] : r1(X0,X17)
& ? [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) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f22,plain,
! [X35] :
( ~ sP11(X35)
| ! [X51] :
( ( sP10(X51)
& ? [X65] :
( ~ p14(X65)
& r1(X51,X65) )
& ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ( ( ~ p13(X64)
| ~ p14(X64) )
& ( p14(X64)
| p13(X64) ) )
| ~ 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(X35,X51) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f23,plain,
! [X0] :
( ~ sP11(X0)
| ! [X1] :
( ( sP10(X1)
& ? [X15] :
( ~ p14(X15)
& r1(X1,X15) )
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ( ( ~ p13(X14)
| ~ p14(X14) )
& ( p14(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(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0] :
( ~ sP11(X0)
| ! [X1] :
( ( sP10(X1)
& ~ p14(sK12(X1))
& r1(X1,sK12(X1))
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ( ( ~ p13(X14)
| ~ p14(X14) )
& ( p14(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(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X15,sK12(X1))],[f23]) ).
fof(f25,plain,
! [X51] :
( ~ sP10(X51)
| ! [X66] :
( ( sP9(X66)
& ? [X79] :
( ~ p13(X79)
& r1(X66,X79) )
& ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ( ( ~ p12(X78)
| ~ p13(X78) )
& ( p13(X78)
| p12(X78) ) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X74,X75) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) ) )
| ~ r1(X51,X66) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f26,plain,
! [X0] :
( ~ sP10(X0)
| ! [X1] :
( ( sP9(X1)
& ? [X14] :
( ~ p13(X14)
& r1(X1,X14) )
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ( ( ~ p12(X13)
| ~ p13(X13) )
& ( p13(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(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f25]) ).
fof(f27,plain,
! [X0] :
( ~ sP10(X0)
| ! [X1] :
( ( sP9(X1)
& ~ p13(sK13(X1))
& r1(X1,sK13(X1))
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ( ( ~ p12(X13)
| ~ p13(X13) )
& ( p13(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(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X14,sK13(X1))],[f26]) ).
fof(f28,plain,
! [X66] :
( ~ sP9(X66)
| ! [X80] :
( ( sP8(X80)
& ? [X92] :
( ~ p12(X92)
& r1(X80,X92) )
& ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ( ( ~ p11(X91)
| ~ p12(X91) )
& ( p12(X91)
| p11(X91) ) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) ) )
| ~ r1(X66,X80) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f29,plain,
! [X0] :
( ~ sP9(X0)
| ! [X1] :
( ( sP8(X1)
& ? [X13] :
( ~ p12(X13)
& r1(X1,X13) )
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ( ( ~ p11(X12)
| ~ p12(X12) )
& ( p12(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(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0] :
( ~ sP9(X0)
| ! [X1] :
( ( sP8(X1)
& ~ p12(sK14(X1))
& r1(X1,sK14(X1))
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ( ( ~ p11(X12)
| ~ p12(X12) )
& ( p12(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(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X13,sK14(X1))],[f29]) ).
fof(f31,plain,
! [X80] :
( ~ sP8(X80)
| ! [X93] :
( ( sP7(X93)
& ? [X104] :
( ~ p11(X104)
& r1(X93,X104) )
& ! [X94] :
( ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ( ( ~ p10(X103)
| ~ p11(X103) )
& ( p11(X103)
| p10(X103) ) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) ) )
| ~ r1(X80,X93) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] :
( ~ sP8(X0)
| ! [X1] :
( ( sP7(X1)
& ? [X12] :
( ~ p11(X12)
& r1(X1,X12) )
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ( ( ~ p10(X11)
| ~ p11(X11) )
& ( p11(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(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0] :
( ~ sP8(X0)
| ! [X1] :
( ( sP7(X1)
& ~ p11(sK15(X1))
& r1(X1,sK15(X1))
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ( ( ~ p10(X11)
| ~ p11(X11) )
& ( p11(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(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X12,sK15(X1))],[f32]) ).
fof(f34,plain,
! [X93] :
( ~ sP7(X93)
| ! [X105] :
( ( sP6(X105)
& ? [X115] :
( ~ p10(X115)
& r1(X105,X115) )
& ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ( ( ~ p9(X114)
| ~ p10(X114) )
& ( p10(X114)
| p9(X114) ) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) ) )
| ~ r1(X93,X105) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f35,plain,
! [X0] :
( ~ sP7(X0)
| ! [X1] :
( ( sP6(X1)
& ? [X11] :
( ~ p10(X11)
& r1(X1,X11) )
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ p9(X10)
| ~ p10(X10) )
& ( p10(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(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
! [X0] :
( ~ sP7(X0)
| ! [X1] :
( ( sP6(X1)
& ~ p10(sK16(X1))
& r1(X1,sK16(X1))
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ p9(X10)
| ~ p10(X10) )
& ( p10(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(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X11,sK16(X1))],[f35]) ).
fof(f37,plain,
! [X105] :
( ~ sP6(X105)
| ! [X116] :
( ( sP5(X116)
& ? [X125] :
( ~ p9(X125)
& r1(X116,X125) )
& ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ( ( ~ p8(X124)
| ~ p9(X124) )
& ( p9(X124)
| p8(X124) ) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) ) )
| ~ r1(X105,X116) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f38,plain,
! [X0] :
( ~ sP6(X0)
| ! [X1] :
( ( sP5(X1)
& ? [X10] :
( ~ p9(X10)
& r1(X1,X10) )
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ( ( ~ p8(X9)
| ~ p9(X9) )
& ( p9(X9)
| p8(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
! [X0] :
( ~ sP6(X0)
| ! [X1] :
( ( sP5(X1)
& ~ p9(sK17(X1))
& r1(X1,sK17(X1))
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ( ( ~ p8(X9)
| ~ p9(X9) )
& ( p9(X9)
| p8(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X10,sK17(X1))],[f38]) ).
fof(f40,plain,
! [X116] :
( ~ sP5(X116)
| ! [X126] :
( ( sP4(X126)
& ? [X134] :
( ~ p8(X134)
& r1(X126,X134) )
& ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ( ( ~ p7(X133)
| ~ p8(X133) )
& ( p8(X133)
| p7(X133) ) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) ) )
| ~ r1(X116,X126) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f41,plain,
! [X0] :
( ~ sP5(X0)
| ! [X1] :
( ( sP4(X1)
& ? [X9] :
( ~ p8(X9)
& r1(X1,X9) )
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ( ( ~ p7(X8)
| ~ p8(X8) )
& ( p8(X8)
| p7(X8) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f40]) ).
fof(f42,plain,
! [X0] :
( ~ sP5(X0)
| ! [X1] :
( ( sP4(X1)
& ~ p8(sK18(X1))
& r1(X1,sK18(X1))
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ( ( ~ p7(X8)
| ~ p8(X8) )
& ( p8(X8)
| p7(X8) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X9,sK18(X1))],[f41]) ).
fof(f43,plain,
! [X126] :
( ~ sP4(X126)
| ! [X135] :
( ( sP3(X135)
& ? [X142] :
( ~ p7(X142)
& r1(X135,X142) )
& ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ( ( ~ p6(X141)
| ~ p7(X141) )
& ( p7(X141)
| p6(X141) ) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X135,X136) ) )
| ~ r1(X126,X135) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f44,plain,
! [X0] :
( ~ sP4(X0)
| ! [X1] :
( ( sP3(X1)
& ? [X8] :
( ~ p7(X8)
& r1(X1,X8) )
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ( ( ~ p6(X7)
| ~ p7(X7) )
& ( p7(X7)
| p6(X7) ) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f43]) ).
fof(f45,plain,
! [X0] :
( ~ sP4(X0)
| ! [X1] :
( ( sP3(X1)
& ~ p7(sK19(X1))
& r1(X1,sK19(X1))
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ( ( ~ p6(X7)
| ~ p7(X7) )
& ( p7(X7)
| p6(X7) ) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X8,sK19(X1))],[f44]) ).
fof(f46,plain,
! [X135] :
( ~ sP3(X135)
| ! [X143] :
( ( sP2(X143)
& ? [X149] :
( ~ p6(X149)
& r1(X143,X149) )
& ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ( ( ~ p5(X148)
| ~ p6(X148) )
& ( p6(X148)
| p5(X148) ) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) ) )
| ~ r1(X135,X143) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f47,plain,
! [X0] :
( ~ sP3(X0)
| ! [X1] :
( ( sP2(X1)
& ? [X7] :
( ~ p6(X7)
& r1(X1,X7) )
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ( ( ~ p5(X6)
| ~ p6(X6) )
& ( p6(X6)
| p5(X6) ) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f46]) ).
fof(f48,plain,
! [X0] :
( ~ sP3(X0)
| ! [X1] :
( ( sP2(X1)
& ~ p6(sK20(X1))
& r1(X1,sK20(X1))
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ( ( ~ p5(X6)
| ~ p6(X6) )
& ( p6(X6)
| p5(X6) ) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X7,sK20(X1))],[f47]) ).
fof(f49,plain,
! [X143] :
( ~ sP2(X143)
| ! [X150] :
( ( sP1(X150)
& ? [X155] :
( ~ p5(X155)
& r1(X150,X155) )
& ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ( ( ~ p4(X154)
| ~ p5(X154) )
& ( p5(X154)
| p4(X154) ) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X150,X151) ) )
| ~ r1(X143,X150) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f50,plain,
! [X0] :
( ~ sP2(X0)
| ! [X1] :
( ( sP1(X1)
& ? [X6] :
( ~ p5(X6)
& r1(X1,X6) )
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ p4(X5)
| ~ p5(X5) )
& ( p5(X5)
| p4(X5) ) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f49]) ).
fof(f51,plain,
! [X0] :
( ~ sP2(X0)
| ! [X1] :
( ( sP1(X1)
& ~ p5(sK21(X1))
& r1(X1,sK21(X1))
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ p4(X5)
| ~ p5(X5) )
& ( p5(X5)
| p4(X5) ) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X6,sK21(X1))],[f50]) ).
fof(f52,plain,
! [X150] :
( ~ sP1(X150)
| ! [X156] :
( ( sP0(X156)
& ? [X160] :
( ~ p4(X160)
& r1(X156,X160) )
& ! [X157] :
( ! [X158] :
( ! [X159] :
( ( ( ~ p3(X159)
| ~ p4(X159) )
& ( p4(X159)
| p3(X159) ) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) ) )
| ~ r1(X150,X156) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f53,plain,
! [X0] :
( ~ sP1(X0)
| ! [X1] :
( ( sP0(X1)
& ? [X5] :
( ~ p4(X5)
& r1(X1,X5) )
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ( ~ p3(X4)
| ~ p4(X4) )
& ( p4(X4)
| p3(X4) ) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0] :
( ~ sP1(X0)
| ! [X1] :
( ( sP0(X1)
& ~ p4(sK22(X1))
& r1(X1,sK22(X1))
& ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ( ~ p3(X4)
| ~ p4(X4) )
& ( p4(X4)
| p3(X4) ) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X5,sK22(X1))],[f53]) ).
fof(f58,plain,
? [X0] :
( ? [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) )
& ! [X18] :
( ( ! [X35] :
( ( sP11(X35)
& ? [X50] :
( ~ p15(X50)
& r1(X35,X50) )
& ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ( ( ~ p14(X49)
| ~ p15(X49) )
& ( p15(X49)
| p14(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(X18,X35) )
& ? [X34] : r1(X18,X34)
& ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ( ( ~ p15(X33)
| ~ p1(X33) )
& ( p1(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(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) )
& ? [X17] : r1(X0,X17)
& ? [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) ) ),
inference(rectify,[],[f21]) ).
fof(f59,plain,
( 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)
& ! [X18] :
( ( ! [X35] :
( ( sP11(X35)
& ~ p15(sK43(X35))
& r1(X35,sK43(X35))
& ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ( ( ~ p14(X49)
| ~ p15(X49) )
& ( p15(X49)
| p14(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(X18,X35) )
& r1(X18,sK42(X18))
& ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ( ( ~ p15(X33)
| ~ p1(X33) )
& ( p1(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(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(sK24,X18) )
& r1(sK24,sK41)
& 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) ),
inference(skolemize,[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]),skolemize(X0,sK24),skolemize(X1,sK25),skolemize(X2,sK26),skolemize(X3,sK27),skolemize(X4,sK28),skolemize(X5,sK29),skolemize(X6,sK30),skolemize(X7,sK31),skolemize(X8,sK32),skolemize(X9,sK33),skolemize(X10,sK34),skolemize(X11,sK35),skolemize(X12,sK36),skolemize(X13,sK37),skolemize(X14,sK38),skolemize(X15,sK39),skolemize(X16,sK40),skolemize(X17,sK41),skolemize(X34,sK42(X18)),skolemize(X50,sK43(X35)),skolemize(X51,sK44),skolemize(X52,sK45),skolemize(X53,sK46),skolemize(X54,sK47),skolemize(X55,sK48),skolemize(X56,sK49),skolemize(X57,sK50),skolemize(X58,sK51),skolemize(X59,sK52),skolemize(X60,sK53),skolemize(X61,sK54),skolemize(X62,sK55),skolemize(X63,sK56),skolemize(X64,sK57),skolemize(X65,sK58),skolemize(X66,sK59)],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ~ sP11(X0)
| sP10(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f63,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ sP11(X0)
| ~ p13(X14)
| ~ p14(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(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f64,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ sP11(X0)
| p14(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(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f65,plain,
! [X0,X1] :
( ~ sP10(X0)
| sP9(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f68,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ sP10(X0)
| ~ p12(X13)
| ~ p13(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(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f69,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ sP10(X0)
| p13(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(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f70,plain,
! [X0,X1] :
( ~ sP9(X0)
| sP8(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f73,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ sP9(X0)
| ~ p11(X12)
| ~ p12(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(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f74,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ sP9(X0)
| p12(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(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f75,plain,
! [X0,X1] :
( ~ sP8(X0)
| sP7(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f78,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ sP8(X0)
| ~ p10(X11)
| ~ p11(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(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f79,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ sP8(X0)
| p11(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(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f80,plain,
! [X0,X1] :
( ~ sP7(X0)
| sP6(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f83,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ sP7(X0)
| ~ p9(X10)
| ~ p10(X10)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f84,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ sP7(X0)
| p10(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(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f85,plain,
! [X0,X1] :
( ~ sP6(X0)
| sP5(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f88,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ sP6(X0)
| ~ p8(X9)
| ~ p9(X9)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ sP6(X0)
| p9(X9)
| p8(X9)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f90,plain,
! [X0,X1] :
( ~ sP5(X0)
| sP4(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP5(X0)
| ~ p7(X8)
| ~ p8(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP5(X0)
| p8(X8)
| p7(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f95,plain,
! [X0,X1] :
( ~ sP4(X0)
| sP3(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f98,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP4(X0)
| ~ p6(X7)
| ~ p7(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f99,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP4(X0)
| p7(X7)
| p6(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f100,plain,
! [X0,X1] :
( ~ sP3(X0)
| sP2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f103,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP3(X0)
| ~ p5(X6)
| ~ p6(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f104,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP3(X0)
| p6(X6)
| p5(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f105,plain,
! [X0,X1] :
( ~ sP2(X0)
| sP1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f108,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(X0)
| ~ p4(X5)
| ~ p5(X5)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f109,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(X0)
| p5(X5)
| p4(X5)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f110,plain,
! [X0,X1] :
( ~ sP1(X0)
| sP0(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP1(X0)
| ~ p3(X4)
| ~ p4(X4)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP1(X0)
| p4(X4)
| p3(X4)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f121,plain,
r1(sK58,sK59),
inference(cnf_transformation,[],[f59]) ).
fof(f122,plain,
r1(sK57,sK58),
inference(cnf_transformation,[],[f59]) ).
fof(f123,plain,
r1(sK56,sK57),
inference(cnf_transformation,[],[f59]) ).
fof(f124,plain,
r1(sK55,sK56),
inference(cnf_transformation,[],[f59]) ).
fof(f125,plain,
r1(sK54,sK55),
inference(cnf_transformation,[],[f59]) ).
fof(f126,plain,
r1(sK53,sK54),
inference(cnf_transformation,[],[f59]) ).
fof(f127,plain,
r1(sK52,sK53),
inference(cnf_transformation,[],[f59]) ).
fof(f128,plain,
r1(sK51,sK52),
inference(cnf_transformation,[],[f59]) ).
fof(f129,plain,
r1(sK50,sK51),
inference(cnf_transformation,[],[f59]) ).
fof(f130,plain,
r1(sK49,sK50),
inference(cnf_transformation,[],[f59]) ).
fof(f131,plain,
r1(sK48,sK49),
inference(cnf_transformation,[],[f59]) ).
fof(f132,plain,
r1(sK47,sK48),
inference(cnf_transformation,[],[f59]) ).
fof(f133,plain,
r1(sK46,sK47),
inference(cnf_transformation,[],[f59]) ).
fof(f134,plain,
r1(sK45,sK46),
inference(cnf_transformation,[],[f59]) ).
fof(f135,plain,
r1(sK44,sK45),
inference(cnf_transformation,[],[f59]) ).
fof(f136,plain,
r1(sK24,sK44),
inference(cnf_transformation,[],[f59]) ).
fof(f137,plain,
! [X18,X35] :
( sP11(X35)
| ~ r1(X18,X35)
| ~ r1(sK24,X18) ),
inference(cnf_transformation,[],[f59]) ).
fof(f140,plain,
! [X40,X38,X41,X39,X46,X36,X48,X49,X18,X37,X44,X47,X45,X35,X42,X43] :
( ~ p14(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(X18,X35)
| ~ r1(sK24,X18) ),
inference(cnf_transformation,[],[f59]) ).
fof(f141,plain,
! [X40,X38,X41,X39,X46,X36,X48,X49,X18,X37,X44,X47,X45,X35,X42,X43] :
( p15(X49)
| p14(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(X18,X35)
| ~ r1(sK24,X18) ),
inference(cnf_transformation,[],[f59]) ).
fof(f143,plain,
! [X33,X31,X21,X28,X29,X18,X19,X26,X27,X24,X22,X25,X23,X30,X20,X32] :
( ~ p15(X33)
| ~ p1(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(X19,X20)
| ~ r1(X18,X19)
| ~ r1(sK24,X18) ),
inference(cnf_transformation,[],[f59]) ).
fof(f144,plain,
! [X33,X31,X21,X28,X29,X18,X19,X26,X27,X24,X22,X25,X23,X30,X20,X32] :
( p1(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(X19,X20)
| ~ r1(X18,X19)
| ~ r1(sK24,X18) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
( p14(X14)
| p13(X14)
| ~ sP11(X0)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
( ~ sP11(X0)
| ~ p14(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(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( sP10(X1)
| ~ sP11(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( p12(X13)
| p13(X13)
| ~ sP10(X0)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ~ p12(X13)
| ~ sP10(X0)
| ~ p13(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(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( sP9(X1)
| ~ sP10(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( p11(X12)
| p12(X12)
| ~ sP9(X0)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ~ p11(X12)
| ~ sP9(X0)
| ~ p12(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(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( sP8(X1)
| ~ sP9(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( p10(X11)
| p11(X11)
| ~ sP8(X0)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ p10(X11)
| ~ sP8(X0)
| ~ p11(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(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( sP7(X1)
| ~ sP8(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( p9(X10)
| p10(X10)
| ~ sP7(X0)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( ~ p9(X10)
| ~ sP7(X0)
| ~ p10(X10)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( sP6(X1)
| ~ sP7(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( p8(X9)
| p9(X9)
| ~ sP6(X0)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ p8(X9)
| ~ sP6(X0)
| ~ p9(X9)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( sP5(X1)
| ~ sP6(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( p7(X8)
| p8(X8)
| ~ sP5(X0)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ~ p7(X8)
| ~ sP5(X0)
| ~ p8(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ~ sP5(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( p6(X7)
| p7(X7)
| ~ sP4(X0)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ p6(X7)
| ~ sP4(X0)
| ~ p7(X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( sP3(X1)
| ~ sP4(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p5(X6)
| p6(X6)
| ~ sP3(X0)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ p5(X6)
| ~ sP3(X0)
| ~ p6(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ~ sP3(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p4(X5)
| p5(X5)
| ~ sP2(X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ p4(X5)
| ~ sP2(X0)
| ~ p5(X5)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( sP1(X1)
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p3(X4)
| p4(X4)
| ~ sP1(X0)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ p3(X4)
| ~ sP1(X0)
| ~ p4(X4)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ~ sP1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_127,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( p15(X15)
| p1(X15)
| ~ r1(sK24,X0)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( ~ p15(X15)
| ~ p1(X15)
| ~ r1(sK24,X0)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_130,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( p15(X15)
| p14(X15)
| ~ r1(sK24,X0)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_131,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( ~ p15(X15)
| ~ p14(X15)
| ~ r1(sK24,X0)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_134,negated_conjecture,
! [X0: $i,X1: $i] :
( sP11(X1)
| ~ r1(sK24,X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_135,negated_conjecture,
r1(sK24,sK44),
inference(cnf_transformation,[],[f136]) ).
tcf(c_136,negated_conjecture,
r1(sK44,sK45),
inference(cnf_transformation,[],[f135]) ).
tcf(c_137,negated_conjecture,
r1(sK45,sK46),
inference(cnf_transformation,[],[f134]) ).
tcf(c_138,negated_conjecture,
r1(sK46,sK47),
inference(cnf_transformation,[],[f133]) ).
tcf(c_139,negated_conjecture,
r1(sK47,sK48),
inference(cnf_transformation,[],[f132]) ).
tcf(c_140,negated_conjecture,
r1(sK48,sK49),
inference(cnf_transformation,[],[f131]) ).
tcf(c_141,negated_conjecture,
r1(sK49,sK50),
inference(cnf_transformation,[],[f130]) ).
tcf(c_142,negated_conjecture,
r1(sK50,sK51),
inference(cnf_transformation,[],[f129]) ).
tcf(c_143,negated_conjecture,
r1(sK51,sK52),
inference(cnf_transformation,[],[f128]) ).
tcf(c_144,negated_conjecture,
r1(sK52,sK53),
inference(cnf_transformation,[],[f127]) ).
tcf(c_145,negated_conjecture,
r1(sK53,sK54),
inference(cnf_transformation,[],[f126]) ).
tcf(c_146,negated_conjecture,
r1(sK54,sK55),
inference(cnf_transformation,[],[f125]) ).
tcf(c_147,negated_conjecture,
r1(sK55,sK56),
inference(cnf_transformation,[],[f124]) ).
tcf(c_148,negated_conjecture,
r1(sK56,sK57),
inference(cnf_transformation,[],[f123]) ).
tcf(c_149,negated_conjecture,
r1(sK57,sK58),
inference(cnf_transformation,[],[f122]) ).
tcf(c_150,negated_conjecture,
r1(sK58,sK59),
inference(cnf_transformation,[],[f121]) ).
tcf(c_8607,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10(X1)
| ~ sP11(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_49]) ).
tcf(c_8608,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11(X1)
| iPr_def_10(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_49]) ).
tcf(c_8609,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12(X1)
| iPr_def_11(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_49]) ).
tcf(c_8610,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13(X1)
| iPr_def_12(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_49]) ).
tcf(c_8611,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14(X1)
| iPr_def_13(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_49]) ).
tcf(c_8612,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_15(X1)
| iPr_def_14(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_49]) ).
tcf(c_8613,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_16(X1)
| iPr_def_15(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_49]) ).
tcf(c_8614,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_17(X1)
| iPr_def_16(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_49]) ).
tcf(c_8615,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_18(X1)
| iPr_def_17(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_49]) ).
tcf(c_8616,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_19(X1)
| iPr_def_18(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_49]) ).
tcf(c_8617,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_20(X1)
| iPr_def_19(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_49]) ).
tcf(c_8618,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_21(X1)
| iPr_def_20(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_49]) ).
tcf(c_8619,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_22(X1)
| iPr_def_21(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_49]) ).
tcf(c_8620,plain,
! [X0: $i,X1: $i] :
( iPr_def_22(X0)
| p14(X1)
| p13(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_49]) ).
tcf(c_8635,plain,
! [X0: $i,X1: $i] :
( iPr_def_22(X0)
| ~ p14(X1)
| ~ p13(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_50]) ).
tcf(c_8653,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_23(X1)
| ~ sP10(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_54]) ).
tcf(c_8654,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_24(X1)
| iPr_def_23(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_54]) ).
tcf(c_8655,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_25(X1)
| iPr_def_24(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_54]) ).
tcf(c_8656,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_26(X1)
| iPr_def_25(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_54]) ).
tcf(c_8657,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_27(X1)
| iPr_def_26(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_54]) ).
tcf(c_8658,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_28(X1)
| iPr_def_27(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_54]) ).
tcf(c_8659,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_29(X1)
| iPr_def_28(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_54]) ).
tcf(c_8660,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_30(X1)
| iPr_def_29(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_54]) ).
tcf(c_8661,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_31(X1)
| iPr_def_30(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_54]) ).
tcf(c_8662,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_32(X1)
| iPr_def_31(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_54]) ).
tcf(c_8663,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_33(X1)
| iPr_def_32(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_54]) ).
tcf(c_8664,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_34(X1)
| iPr_def_33(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_54]) ).
tcf(c_8665,plain,
! [X0: $i,X1: $i] :
( iPr_def_34(X0)
| p12(X1)
| p13(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_54]) ).
tcf(c_8679,plain,
! [X0: $i,X1: $i] :
( iPr_def_34(X0)
| ~ p12(X1)
| ~ p13(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_55]) ).
tcf(c_8696,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_35(X1)
| ~ sP9(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_59]) ).
tcf(c_8697,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_36(X1)
| iPr_def_35(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_59]) ).
tcf(c_8698,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_37(X1)
| iPr_def_36(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_59]) ).
tcf(c_8699,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_38(X1)
| iPr_def_37(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_59]) ).
tcf(c_8700,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_39(X1)
| iPr_def_38(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_59]) ).
tcf(c_8701,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_40(X1)
| iPr_def_39(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_59]) ).
tcf(c_8702,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_41(X1)
| iPr_def_40(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_59]) ).
tcf(c_8703,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_42(X1)
| iPr_def_41(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_42])],[c_59]) ).
tcf(c_8704,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_43(X1)
| iPr_def_42(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_43])],[c_59]) ).
tcf(c_8705,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_44(X1)
| iPr_def_43(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_44])],[c_59]) ).
tcf(c_8706,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_45(X1)
| iPr_def_44(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_45])],[c_59]) ).
tcf(c_8707,plain,
! [X0: $i,X1: $i] :
( iPr_def_45(X0)
| p11(X1)
| p12(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_59]) ).
tcf(c_8720,plain,
! [X0: $i,X1: $i] :
( iPr_def_45(X0)
| ~ p11(X1)
| ~ p12(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_60]) ).
tcf(c_8736,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_46(X1)
| ~ sP8(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_46])],[c_64]) ).
tcf(c_8737,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_47(X1)
| iPr_def_46(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_47])],[c_64]) ).
tcf(c_8738,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_48(X1)
| iPr_def_47(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_48])],[c_64]) ).
tcf(c_8739,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_49(X1)
| iPr_def_48(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_49])],[c_64]) ).
tcf(c_8740,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_50(X1)
| iPr_def_49(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_50])],[c_64]) ).
tcf(c_8741,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_51(X1)
| iPr_def_50(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_51])],[c_64]) ).
tcf(c_8742,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_52(X1)
| iPr_def_51(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_52])],[c_64]) ).
tcf(c_8743,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_53(X1)
| iPr_def_52(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_53])],[c_64]) ).
tcf(c_8744,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_54(X1)
| iPr_def_53(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_54])],[c_64]) ).
tcf(c_8745,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_55(X1)
| iPr_def_54(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_55])],[c_64]) ).
tcf(c_8746,plain,
! [X0: $i,X1: $i] :
( iPr_def_55(X0)
| p10(X1)
| p11(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_64]) ).
tcf(c_8758,plain,
! [X0: $i,X1: $i] :
( iPr_def_55(X0)
| ~ p10(X1)
| ~ p11(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_65]) ).
tcf(c_8773,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_56(X1)
| ~ sP7(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_56])],[c_69]) ).
tcf(c_8774,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_57(X1)
| iPr_def_56(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_57])],[c_69]) ).
tcf(c_8775,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_58(X1)
| iPr_def_57(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_58])],[c_69]) ).
tcf(c_8776,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_59(X1)
| iPr_def_58(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_59])],[c_69]) ).
tcf(c_8777,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_60(X1)
| iPr_def_59(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_60])],[c_69]) ).
tcf(c_8778,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_61(X1)
| iPr_def_60(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_61])],[c_69]) ).
tcf(c_8779,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_62(X1)
| iPr_def_61(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_62])],[c_69]) ).
tcf(c_8780,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_63(X1)
| iPr_def_62(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_63])],[c_69]) ).
tcf(c_8781,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_64(X1)
| iPr_def_63(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_64])],[c_69]) ).
tcf(c_8782,plain,
! [X0: $i,X1: $i] :
( iPr_def_64(X0)
| p9(X1)
| p10(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_69]) ).
tcf(c_8793,plain,
! [X0: $i,X1: $i] :
( iPr_def_64(X0)
| ~ p9(X1)
| ~ p10(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_70]) ).
tcf(c_8807,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_65(X1)
| ~ sP6(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_65])],[c_74]) ).
tcf(c_8808,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_66(X1)
| iPr_def_65(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_66])],[c_74]) ).
tcf(c_8809,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_67(X1)
| iPr_def_66(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_67])],[c_74]) ).
tcf(c_8810,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_68(X1)
| iPr_def_67(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_68])],[c_74]) ).
tcf(c_8811,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_69(X1)
| iPr_def_68(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_69])],[c_74]) ).
tcf(c_8812,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_70(X1)
| iPr_def_69(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_70])],[c_74]) ).
tcf(c_8813,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_71(X1)
| iPr_def_70(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_71])],[c_74]) ).
tcf(c_8814,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_72(X1)
| iPr_def_71(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_72])],[c_74]) ).
tcf(c_8815,plain,
! [X0: $i,X1: $i] :
( iPr_def_72(X0)
| p8(X1)
| p9(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_74]) ).
tcf(c_8825,plain,
! [X0: $i,X1: $i] :
( iPr_def_72(X0)
| ~ p8(X1)
| ~ p9(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_75]) ).
tcf(c_8838,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_73(X1)
| ~ sP5(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_73])],[c_79]) ).
tcf(c_8839,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_74(X1)
| iPr_def_73(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_74])],[c_79]) ).
tcf(c_8840,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_75(X1)
| iPr_def_74(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_75])],[c_79]) ).
tcf(c_8841,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_76(X1)
| iPr_def_75(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_76])],[c_79]) ).
tcf(c_8842,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_77(X1)
| iPr_def_76(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_77])],[c_79]) ).
tcf(c_8843,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_78(X1)
| iPr_def_77(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_78])],[c_79]) ).
tcf(c_8844,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_79(X1)
| iPr_def_78(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_79])],[c_79]) ).
tcf(c_8845,plain,
! [X0: $i,X1: $i] :
( iPr_def_79(X0)
| p7(X1)
| p8(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79]) ).
tcf(c_8854,plain,
! [X0: $i,X1: $i] :
( iPr_def_79(X0)
| ~ p7(X1)
| ~ p8(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_80]) ).
tcf(c_8866,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_80(X1)
| ~ sP4(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_80])],[c_84]) ).
tcf(c_8867,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_81(X1)
| iPr_def_80(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_81])],[c_84]) ).
tcf(c_8868,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_82(X1)
| iPr_def_81(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_82])],[c_84]) ).
tcf(c_8869,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_83(X1)
| iPr_def_82(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_83])],[c_84]) ).
tcf(c_8870,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_84(X1)
| iPr_def_83(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_84])],[c_84]) ).
tcf(c_8871,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_85(X1)
| iPr_def_84(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_85])],[c_84]) ).
tcf(c_8872,plain,
! [X0: $i,X1: $i] :
( iPr_def_85(X0)
| p6(X1)
| p7(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_84]) ).
tcf(c_8880,plain,
! [X0: $i,X1: $i] :
( iPr_def_85(X0)
| ~ p6(X1)
| ~ p7(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_85]) ).
tcf(c_8891,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_86(X1)
| ~ sP3(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_86])],[c_89]) ).
tcf(c_8892,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_87(X1)
| iPr_def_86(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_87])],[c_89]) ).
tcf(c_8893,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_88(X1)
| iPr_def_87(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_88])],[c_89]) ).
tcf(c_8894,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_89(X1)
| iPr_def_88(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_89])],[c_89]) ).
tcf(c_8895,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_90(X1)
| iPr_def_89(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_90])],[c_89]) ).
tcf(c_8896,plain,
! [X0: $i,X1: $i] :
( iPr_def_90(X0)
| p5(X1)
| p6(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
tcf(c_8903,plain,
! [X0: $i,X1: $i] :
( iPr_def_90(X0)
| ~ p5(X1)
| ~ p6(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_90]) ).
tcf(c_8913,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_91(X1)
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_91])],[c_94]) ).
tcf(c_8914,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_92(X1)
| iPr_def_91(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_92])],[c_94]) ).
tcf(c_8915,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_93(X1)
| iPr_def_92(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_93])],[c_94]) ).
tcf(c_8916,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_94(X1)
| iPr_def_93(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_94])],[c_94]) ).
tcf(c_8917,plain,
! [X0: $i,X1: $i] :
( iPr_def_94(X0)
| p4(X1)
| p5(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_94]) ).
tcf(c_8923,plain,
! [X0: $i,X1: $i] :
( iPr_def_94(X0)
| ~ p4(X1)
| ~ p5(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_95]) ).
tcf(c_8932,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_95(X1)
| ~ sP1(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_95])],[c_99]) ).
tcf(c_8933,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_96(X1)
| iPr_def_95(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_96])],[c_99]) ).
tcf(c_8934,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_97(X1)
| iPr_def_96(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_97])],[c_99]) ).
tcf(c_8935,plain,
! [X0: $i,X1: $i] :
( iPr_def_97(X0)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_99]) ).
tcf(c_8940,plain,
! [X0: $i,X1: $i] :
( iPr_def_97(X0)
| ~ p3(X1)
| ~ p4(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_100]) ).
tcf(c_8967,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_98(X1)
| ~ r1(sK24,X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_98])],[c_127]) ).
tcf(c_8968,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_99(X1)
| iPr_def_98(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_99])],[c_127]) ).
tcf(c_8969,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_100(X1)
| iPr_def_99(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_100])],[c_127]) ).
tcf(c_8970,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_101(X1)
| iPr_def_100(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_101])],[c_127]) ).
tcf(c_8971,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_102(X1)
| iPr_def_101(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_102])],[c_127]) ).
tcf(c_8972,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_103(X1)
| iPr_def_102(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_103])],[c_127]) ).
tcf(c_8973,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_104(X1)
| iPr_def_103(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_104])],[c_127]) ).
tcf(c_8974,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_105(X1)
| iPr_def_104(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_105])],[c_127]) ).
tcf(c_8975,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_106(X1)
| iPr_def_105(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_106])],[c_127]) ).
tcf(c_8976,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_107(X1)
| iPr_def_106(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_107])],[c_127]) ).
tcf(c_8977,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_108(X1)
| iPr_def_107(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_108])],[c_127]) ).
tcf(c_8978,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_109(X1)
| iPr_def_108(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_109])],[c_127]) ).
tcf(c_8979,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_110(X1)
| iPr_def_109(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_110])],[c_127]) ).
tcf(c_8980,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_111(X1)
| iPr_def_110(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_111])],[c_127]) ).
tcf(c_8981,negated_conjecture,
! [X0: $i,X1: $i] :
( iPr_def_111(X0)
| p15(X1)
| p1(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_127]) ).
tcf(c_8997,negated_conjecture,
! [X0: $i,X1: $i] :
( iPr_def_111(X0)
| ~ p15(X1)
| ~ p1(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_128]) ).
tcf(c_9014,negated_conjecture,
! [X0: $i,X1: $i] :
( iPr_def_111(X0)
| p15(X1)
| p14(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_130]) ).
tcf(c_9030,negated_conjecture,
! [X0: $i,X1: $i] :
( iPr_def_111(X0)
| ~ p15(X1)
| ~ p14(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_131]) ).
tcf(c_9395,plain,
( iPr_def_110(sK57)
| ~ iPr_def_111(sK58) ),
inference(superposition,[status(thm)],[c_149,c_8980]) ).
tcf(c_9636,plain,
( iPr_def_109(sK56)
| ~ iPr_def_110(sK57) ),
inference(superposition,[status(thm)],[c_148,c_8979]) ).
tcf(c_9981,plain,
( iPr_def_108(sK55)
| ~ iPr_def_109(sK56) ),
inference(superposition,[status(thm)],[c_147,c_8978]) ).
tcf(c_10193,plain,
( iPr_def_107(sK54)
| ~ iPr_def_108(sK55) ),
inference(superposition,[status(thm)],[c_146,c_8977]) ).
tcf(c_10326,plain,
( iPr_def_106(sK53)
| ~ iPr_def_107(sK54) ),
inference(superposition,[status(thm)],[c_145,c_8976]) ).
tcf(c_10565,plain,
( iPr_def_105(sK52)
| ~ iPr_def_106(sK53) ),
inference(superposition,[status(thm)],[c_144,c_8975]) ).
tcf(c_10698,plain,
( iPr_def_104(sK51)
| ~ iPr_def_105(sK52) ),
inference(superposition,[status(thm)],[c_143,c_8974]) ).
tcf(c_10937,plain,
( iPr_def_103(sK50)
| ~ iPr_def_104(sK51) ),
inference(superposition,[status(thm)],[c_142,c_8973]) ).
tcf(c_11070,plain,
( iPr_def_102(sK49)
| ~ iPr_def_103(sK50) ),
inference(superposition,[status(thm)],[c_141,c_8972]) ).
tcf(c_11309,plain,
( iPr_def_101(sK48)
| ~ iPr_def_102(sK49) ),
inference(superposition,[status(thm)],[c_140,c_8971]) ).
tcf(c_11548,plain,
( iPr_def_100(sK47)
| ~ iPr_def_101(sK48) ),
inference(superposition,[status(thm)],[c_139,c_8970]) ).
tcf(c_11681,plain,
( iPr_def_99(sK46)
| ~ iPr_def_100(sK47) ),
inference(superposition,[status(thm)],[c_138,c_8969]) ).
tcf(c_11920,plain,
( iPr_def_98(sK45)
| ~ iPr_def_99(sK46) ),
inference(superposition,[status(thm)],[c_137,c_8968]) ).
tcf(c_12172,plain,
( iPr_def_96(sK57)
| ~ iPr_def_97(sK58) ),
inference(superposition,[status(thm)],[c_149,c_8934]) ).
tcf(c_12384,plain,
( iPr_def_95(sK56)
| ~ iPr_def_96(sK57) ),
inference(superposition,[status(thm)],[c_148,c_8933]) ).
tcf(c_12519,plain,
( iPr_def_93(sK57)
| ~ iPr_def_94(sK58) ),
inference(superposition,[status(thm)],[c_149,c_8916]) ).
tcf(c_12758,plain,
( iPr_def_92(sK56)
| ~ iPr_def_93(sK57) ),
inference(superposition,[status(thm)],[c_148,c_8915]) ).
tcf(c_12997,plain,
( iPr_def_91(sK55)
| ~ iPr_def_92(sK56) ),
inference(superposition,[status(thm)],[c_147,c_8914]) ).
tcf(c_13212,plain,
( iPr_def_89(sK57)
| ~ iPr_def_90(sK58) ),
inference(superposition,[status(thm)],[c_149,c_8895]) ).
tcf(c_13451,plain,
( iPr_def_88(sK56)
| ~ iPr_def_89(sK57) ),
inference(superposition,[status(thm)],[c_148,c_8894]) ).
tcf(c_13663,plain,
( iPr_def_87(sK55)
| ~ iPr_def_88(sK56) ),
inference(superposition,[status(thm)],[c_147,c_8893]) ).
tcf(c_13902,plain,
( iPr_def_86(sK54)
| ~ iPr_def_87(sK55) ),
inference(superposition,[status(thm)],[c_146,c_8892]) ).
tcf(c_14171,plain,
( iPr_def_84(sK57)
| ~ iPr_def_85(sK58) ),
inference(superposition,[status(thm)],[c_149,c_8871]) ).
tcf(c_14383,plain,
( iPr_def_83(sK56)
| ~ iPr_def_84(sK57) ),
inference(superposition,[status(thm)],[c_148,c_8870]) ).
tcf(c_14648,plain,
( iPr_def_82(sK55)
| ~ iPr_def_83(sK56) ),
inference(superposition,[status(thm)],[c_147,c_8869]) ).
tcf(c_14860,plain,
( iPr_def_81(sK54)
| ~ iPr_def_82(sK55) ),
inference(superposition,[status(thm)],[c_146,c_8868]) ).
tcf(c_15118,plain,
( iPr_def_80(sK53)
| ~ iPr_def_81(sK54) ),
inference(superposition,[status(thm)],[c_145,c_8867]) ).
tcf(c_15229,plain,
( iPr_def_78(sK57)
| ~ iPr_def_79(sK58) ),
inference(superposition,[status(thm)],[c_149,c_8844]) ).
tcf(c_15468,plain,
( iPr_def_77(sK56)
| ~ iPr_def_78(sK57) ),
inference(superposition,[status(thm)],[c_148,c_8843]) ).
tcf(c_15706,plain,
( iPr_def_76(sK55)
| ~ iPr_def_77(sK56) ),
inference(superposition,[status(thm)],[c_147,c_8842]) ).
tcf(c_15944,plain,
( iPr_def_75(sK54)
| ~ iPr_def_76(sK55) ),
inference(superposition,[status(thm)],[c_146,c_8841]) ).
tcf(c_16156,plain,
( iPr_def_74(sK53)
| ~ iPr_def_75(sK54) ),
inference(superposition,[status(thm)],[c_145,c_8840]) ).
tcf(c_16363,plain,
( ~ iPr_def_23(sK47)
| ~ sP10(sK46)
| ~ r1(sK46,sK47) ),
inference(instantiation,[status(thm)],[c_8653]) ).
tcf(c_16394,plain,
( iPr_def_73(sK52)
| ~ iPr_def_74(sK53) ),
inference(superposition,[status(thm)],[c_144,c_8839]) ).
tcf(c_16612,plain,
( iPr_def_71(sK57)
| ~ iPr_def_72(sK58) ),
inference(superposition,[status(thm)],[c_149,c_8814]) ).
tcf(c_16708,plain,
( ~ iPr_def_35(sK48)
| ~ sP9(sK47)
| ~ r1(sK47,sK48) ),
inference(instantiation,[status(thm)],[c_8696]) ).
tcf(c_16850,plain,
( iPr_def_70(sK56)
| ~ iPr_def_71(sK57) ),
inference(superposition,[status(thm)],[c_148,c_8813]) ).
tcf(c_16946,plain,
( ~ iPr_def_46(sK49)
| ~ sP8(sK48)
| ~ r1(sK48,sK49) ),
inference(instantiation,[status(thm)],[c_8736]) ).
tcf(c_16982,plain,
( iPr_def_69(sK55)
| ~ iPr_def_70(sK56) ),
inference(superposition,[status(thm)],[c_147,c_8812]) ).
tcf(c_17184,plain,
( ~ iPr_def_56(sK50)
| ~ sP7(sK49)
| ~ r1(sK49,sK50) ),
inference(instantiation,[status(thm)],[c_8773]) ).
tcf(c_17220,plain,
( iPr_def_68(sK54)
| ~ iPr_def_69(sK55) ),
inference(superposition,[status(thm)],[c_146,c_8811]) ).
tcf(c_17432,plain,
( iPr_def_67(sK53)
| ~ iPr_def_68(sK54) ),
inference(superposition,[status(thm)],[c_145,c_8810]) ).
tcf(c_17635,plain,
( ~ iPr_def_65(sK51)
| ~ sP6(sK50)
| ~ r1(sK50,sK51) ),
inference(instantiation,[status(thm)],[c_8807]) ).
tcf(c_17670,plain,
( iPr_def_66(sK52)
| ~ iPr_def_67(sK53) ),
inference(superposition,[status(thm)],[c_144,c_8809]) ).
tcf(c_17882,plain,
( iPr_def_65(sK51)
| ~ iPr_def_66(sK52) ),
inference(superposition,[status(thm)],[c_143,c_8808]) ).
tcf(c_18086,plain,
( ~ iPr_def_73(sK52)
| ~ sP5(sK51)
| ~ r1(sK51,sK52) ),
inference(instantiation,[status(thm)],[c_8838]) ).
tcf(c_18127,plain,
( iPr_def_63(sK57)
| ~ iPr_def_64(sK58) ),
inference(superposition,[status(thm)],[c_149,c_8781]) ).
tcf(c_18324,plain,
( ~ iPr_def_80(sK53)
| ~ sP4(sK52)
| ~ r1(sK52,sK53) ),
inference(instantiation,[status(thm)],[c_8866]) ).
tcf(c_18365,plain,
( iPr_def_62(sK56)
| ~ iPr_def_63(sK57) ),
inference(superposition,[status(thm)],[c_148,c_8780]) ).
tcf(c_18577,plain,
( iPr_def_61(sK55)
| ~ iPr_def_62(sK56) ),
inference(superposition,[status(thm)],[c_147,c_8779]) ).
tcf(c_18669,plain,
( ~ iPr_def_86(sK54)
| ~ sP3(sK53)
| ~ r1(sK53,sK54) ),
inference(instantiation,[status(thm)],[c_8891]) ).
tcf(c_18709,plain,
( iPr_def_60(sK54)
| ~ iPr_def_61(sK55) ),
inference(superposition,[status(thm)],[c_146,c_8778]) ).
tcf(c_18907,plain,
( ~ iPr_def_91(sK55)
| ~ sP2(sK54)
| ~ r1(sK54,sK55) ),
inference(instantiation,[status(thm)],[c_8913]) ).
tcf(c_18947,plain,
( iPr_def_59(sK53)
| ~ iPr_def_60(sK54) ),
inference(superposition,[status(thm)],[c_145,c_8777]) ).
tcf(c_19039,plain,
( ~ iPr_def_95(sK56)
| ~ sP1(sK55)
| ~ r1(sK55,sK56) ),
inference(instantiation,[status(thm)],[c_8932]) ).
tcf(c_19079,plain,
( iPr_def_58(sK52)
| ~ iPr_def_59(sK53) ),
inference(superposition,[status(thm)],[c_144,c_8776]) ).
tcf(c_19317,plain,
( iPr_def_57(sK51)
| ~ iPr_def_58(sK52) ),
inference(superposition,[status(thm)],[c_143,c_8775]) ).
tcf(c_19555,plain,
( iPr_def_56(sK50)
| ~ iPr_def_57(sK51) ),
inference(superposition,[status(thm)],[c_142,c_8774]) ).
tcf(c_19669,plain,
( iPr_def_54(sK57)
| ~ iPr_def_55(sK58) ),
inference(superposition,[status(thm)],[c_149,c_8745]) ).
tcf(c_19744,plain,
( iPr_def_111(sK58)
| p15(sK59)
| p1(sK59)
| ~ r1(sK58,sK59) ),
inference(instantiation,[status(thm)],[c_8981]) ).
tcf(c_19907,plain,
( iPr_def_53(sK56)
| ~ iPr_def_54(sK57) ),
inference(superposition,[status(thm)],[c_148,c_8744]) ).
tcf(c_20003,plain,
( ~ iPr_def_98(sK45)
| ~ r1(sK44,sK45)
| ~ r1(sK24,sK44) ),
inference(instantiation,[status(thm)],[c_8967]) ).
tcf(c_20075,plain,
( iPr_def_52(sK55)
| ~ iPr_def_53(sK56) ),
inference(superposition,[status(thm)],[c_147,c_8743]) ).
tcf(c_20287,plain,
( iPr_def_51(sK54)
| ~ iPr_def_52(sK55) ),
inference(superposition,[status(thm)],[c_146,c_8742]) ).
tcf(c_20394,plain,
( iPr_def_50(sK53)
| ~ iPr_def_51(sK54) ),
inference(superposition,[status(thm)],[c_145,c_8741]) ).
tcf(c_20611,plain,
( iPr_def_49(sK52)
| ~ iPr_def_50(sK53) ),
inference(superposition,[status(thm)],[c_144,c_8740]) ).
tcf(c_20726,plain,
( iPr_def_48(sK51)
| ~ iPr_def_49(sK52) ),
inference(superposition,[status(thm)],[c_143,c_8739]) ).
tcf(c_20938,plain,
( iPr_def_47(sK50)
| ~ iPr_def_48(sK51) ),
inference(superposition,[status(thm)],[c_142,c_8738]) ).
tcf(c_21155,plain,
( iPr_def_46(sK49)
| ~ iPr_def_47(sK50) ),
inference(superposition,[status(thm)],[c_141,c_8737]) ).
tcf(c_21386,plain,
( iPr_def_44(sK57)
| ~ iPr_def_45(sK58) ),
inference(superposition,[status(thm)],[c_149,c_8706]) ).
tcf(c_21608,plain,
( iPr_def_43(sK56)
| ~ iPr_def_44(sK57) ),
inference(superposition,[status(thm)],[c_148,c_8705]) ).
tcf(c_21825,plain,
( iPr_def_42(sK55)
| ~ iPr_def_43(sK56) ),
inference(superposition,[status(thm)],[c_147,c_8704]) ).
tcf(c_21936,plain,
( iPr_def_41(sK54)
| ~ iPr_def_42(sK55) ),
inference(superposition,[status(thm)],[c_146,c_8703]) ).
tcf(c_22153,plain,
( iPr_def_40(sK53)
| ~ iPr_def_41(sK54) ),
inference(superposition,[status(thm)],[c_145,c_8702]) ).
tcf(c_22370,plain,
( iPr_def_39(sK52)
| ~ iPr_def_40(sK53) ),
inference(superposition,[status(thm)],[c_144,c_8701]) ).
tcf(c_22590,plain,
( iPr_def_38(sK51)
| ~ iPr_def_39(sK52) ),
inference(superposition,[status(thm)],[c_143,c_8700]) ).
tcf(c_22809,plain,
( iPr_def_37(sK50)
| ~ iPr_def_38(sK51) ),
inference(superposition,[status(thm)],[c_142,c_8699]) ).
tcf(c_22920,plain,
( iPr_def_36(sK49)
| ~ iPr_def_37(sK50) ),
inference(superposition,[status(thm)],[c_141,c_8698]) ).
tcf(c_23140,plain,
( iPr_def_35(sK48)
| ~ iPr_def_36(sK49) ),
inference(superposition,[status(thm)],[c_140,c_8697]) ).
tcf(c_23369,plain,
( iPr_def_33(sK57)
| ~ iPr_def_34(sK58) ),
inference(superposition,[status(thm)],[c_149,c_8664]) ).
tcf(c_23586,plain,
( iPr_def_32(sK56)
| ~ iPr_def_33(sK57) ),
inference(superposition,[status(thm)],[c_148,c_8663]) ).
tcf(c_23803,plain,
( iPr_def_31(sK55)
| ~ iPr_def_32(sK56) ),
inference(superposition,[status(thm)],[c_147,c_8662]) ).
tcf(c_23973,plain,
( iPr_def_30(sK54)
| ~ iPr_def_31(sK55) ),
inference(superposition,[status(thm)],[c_146,c_8661]) ).
tcf(c_24185,plain,
( iPr_def_29(sK53)
| ~ iPr_def_30(sK54) ),
inference(superposition,[status(thm)],[c_145,c_8660]) ).
tcf(c_24398,plain,
( iPr_def_28(sK52)
| ~ iPr_def_29(sK53) ),
inference(superposition,[status(thm)],[c_144,c_8659]) ).
tcf(c_24615,plain,
( iPr_def_27(sK51)
| ~ iPr_def_28(sK52) ),
inference(superposition,[status(thm)],[c_143,c_8658]) ).
tcf(c_24734,plain,
( iPr_def_26(sK50)
| ~ iPr_def_27(sK51) ),
inference(superposition,[status(thm)],[c_142,c_8657]) ).
tcf(c_24958,plain,
( iPr_def_25(sK49)
| ~ iPr_def_26(sK50) ),
inference(superposition,[status(thm)],[c_141,c_8656]) ).
tcf(c_25076,plain,
( iPr_def_24(sK48)
| ~ iPr_def_25(sK49) ),
inference(superposition,[status(thm)],[c_140,c_8655]) ).
tcf(c_25298,plain,
( iPr_def_23(sK47)
| ~ iPr_def_24(sK48) ),
inference(superposition,[status(thm)],[c_139,c_8654]) ).
tcf(c_25533,plain,
( iPr_def_21(sK57)
| ~ iPr_def_22(sK58) ),
inference(superposition,[status(thm)],[c_149,c_8619]) ).
tcf(c_25760,plain,
( iPr_def_20(sK56)
| ~ iPr_def_21(sK57) ),
inference(superposition,[status(thm)],[c_148,c_8618]) ).
tcf(c_25988,plain,
( iPr_def_19(sK55)
| ~ iPr_def_20(sK56) ),
inference(superposition,[status(thm)],[c_147,c_8617]) ).
tcf(c_26210,plain,
( iPr_def_18(sK54)
| ~ iPr_def_19(sK55) ),
inference(superposition,[status(thm)],[c_146,c_8616]) ).
tcf(c_26432,plain,
( iPr_def_17(sK53)
| ~ iPr_def_18(sK54) ),
inference(superposition,[status(thm)],[c_145,c_8615]) ).
tcf(c_26650,plain,
( iPr_def_16(sK52)
| ~ iPr_def_17(sK53) ),
inference(superposition,[status(thm)],[c_144,c_8614]) ).
tcf(c_26768,plain,
( iPr_def_15(sK51)
| ~ iPr_def_16(sK52) ),
inference(superposition,[status(thm)],[c_143,c_8613]) ).
tcf(c_26992,plain,
( iPr_def_14(sK50)
| ~ iPr_def_15(sK51) ),
inference(superposition,[status(thm)],[c_142,c_8612]) ).
tcf(c_27215,plain,
( iPr_def_13(sK49)
| ~ iPr_def_14(sK50) ),
inference(superposition,[status(thm)],[c_141,c_8611]) ).
tcf(c_27439,plain,
( iPr_def_12(sK48)
| ~ iPr_def_13(sK49) ),
inference(superposition,[status(thm)],[c_140,c_8610]) ).
tcf(c_27661,plain,
( iPr_def_11(sK47)
| ~ iPr_def_12(sK48) ),
inference(superposition,[status(thm)],[c_139,c_8609]) ).
tcf(c_27888,plain,
( iPr_def_10(sK46)
| ~ iPr_def_11(sK47) ),
inference(superposition,[status(thm)],[c_138,c_8608]) ).
tcf(c_28019,plain,
( sP0(sK56)
| ~ sP1(sK55) ),
inference(superposition,[status(thm)],[c_147,c_103]) ).
tcf(c_28233,plain,
( sP1(sK55)
| ~ sP2(sK54) ),
inference(superposition,[status(thm)],[c_146,c_98]) ).
tcf(c_28453,plain,
( sP2(sK54)
| ~ sP3(sK53) ),
inference(superposition,[status(thm)],[c_145,c_93]) ).
tcf(c_28675,plain,
( sP3(sK53)
| ~ sP4(sK52) ),
inference(superposition,[status(thm)],[c_144,c_88]) ).
tcf(c_28900,plain,
( sP4(sK52)
| ~ sP5(sK51) ),
inference(superposition,[status(thm)],[c_143,c_83]) ).
tcf(c_29118,plain,
( sP5(sK51)
| ~ sP6(sK50) ),
inference(superposition,[status(thm)],[c_142,c_78]) ).
tcf(c_29342,plain,
( sP6(sK50)
| ~ sP7(sK49) ),
inference(superposition,[status(thm)],[c_141,c_73]) ).
tcf(c_29459,plain,
( sP7(sK49)
| ~ sP8(sK48) ),
inference(superposition,[status(thm)],[c_140,c_68]) ).
tcf(c_29684,plain,
( sP8(sK48)
| ~ sP9(sK47) ),
inference(superposition,[status(thm)],[c_139,c_63]) ).
tcf(c_29906,plain,
( sP9(sK47)
| ~ sP10(sK46) ),
inference(superposition,[status(thm)],[c_138,c_58]) ).
tcf(c_30119,plain,
( sP10(sK46)
| ~ sP11(sK45) ),
inference(superposition,[status(thm)],[c_137,c_53]) ).
tcf(c_30226,plain,
( sP11(sK45)
| ~ r1(sK44,sK45)
| ~ r1(sK24,sK44) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_30515,plain,
( iPr_def_111(sK58)
| p15(sK59)
| p14(sK59) ),
inference(superposition,[status(thm)],[c_150,c_9014]) ).
tcf(c_30663,plain,
( iPr_def_111(sK58)
| p15(sK59)
| p1(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8981]) ).
tcf(c_30664,plain,
( p1(sK59)
| p15(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_30663,c_150,c_136,c_135,c_9395,c_9636,c_9981,c_10193,c_10326,c_10565,c_10698,c_10937,c_11070,c_11309,c_11548,c_11681,c_11920,c_19744,c_20003]) ).
tcf(c_30665,plain,
( p15(sK59)
| p1(sK59) ),
inference(renaming,[status(thm)],[c_30664]) ).
tcf(c_30925,plain,
( iPr_def_97(sK58)
| p3(sK59)
| p4(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8935]) ).
tcf(c_31405,plain,
( iPr_def_94(sK58)
| p4(sK59)
| p5(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8917]) ).
tcf(c_31991,plain,
( iPr_def_90(sK58)
| p5(sK59)
| p6(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8896]) ).
tcf(c_31992,plain,
( p6(sK59)
| p5(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_31991,c_145,c_136,c_135,c_13212,c_13451,c_13663,c_13902,c_18669,c_28675,c_28900,c_29118,c_29342,c_29459,c_29684,c_29906,c_30119,c_30226,c_31991]) ).
tcf(c_31993,plain,
( p5(sK59)
| p6(sK59) ),
inference(renaming,[status(thm)],[c_31992]) ).
tcf(c_32371,plain,
( iPr_def_85(sK58)
| p6(sK59)
| p7(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8872]) ).
tcf(c_32372,plain,
( p7(sK59)
| p6(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_32371,c_144,c_136,c_135,c_14171,c_14383,c_14648,c_14860,c_15118,c_18324,c_28900,c_29118,c_29342,c_29459,c_29684,c_29906,c_30119,c_30226,c_32371]) ).
tcf(c_32373,plain,
( p6(sK59)
| p7(sK59) ),
inference(renaming,[status(thm)],[c_32372]) ).
tcf(c_32856,plain,
( iPr_def_79(sK58)
| p7(sK59)
| p8(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8845]) ).
tcf(c_32857,plain,
( p8(sK59)
| p7(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_32856,c_143,c_136,c_135,c_15229,c_15468,c_15706,c_15944,c_16156,c_16394,c_18086,c_29118,c_29342,c_29459,c_29684,c_29906,c_30119,c_30226,c_32856]) ).
tcf(c_32858,plain,
( p7(sK59)
| p8(sK59) ),
inference(renaming,[status(thm)],[c_32857]) ).
tcf(c_33232,plain,
( iPr_def_72(sK58)
| p8(sK59)
| p9(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8815]) ).
tcf(c_33233,plain,
( p9(sK59)
| p8(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_33232,c_142,c_136,c_135,c_16612,c_16850,c_16982,c_17220,c_17432,c_17635,c_17670,c_17882,c_29342,c_29459,c_29684,c_29906,c_30119,c_30226,c_33232]) ).
tcf(c_33234,plain,
( p8(sK59)
| p9(sK59) ),
inference(renaming,[status(thm)],[c_33233]) ).
tcf(c_33529,plain,
( iPr_def_64(sK58)
| p9(sK59)
| p10(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8782]) ).
tcf(c_33530,plain,
( p10(sK59)
| p9(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_33529,c_141,c_136,c_135,c_17184,c_18127,c_18365,c_18577,c_18709,c_18947,c_19079,c_19317,c_19555,c_29459,c_29684,c_29906,c_30119,c_30226,c_33529]) ).
tcf(c_33531,plain,
( p9(sK59)
| p10(sK59) ),
inference(renaming,[status(thm)],[c_33530]) ).
tcf(c_34021,plain,
( iPr_def_55(sK58)
| p10(sK59)
| p11(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8746]) ).
tcf(c_34022,plain,
( p11(sK59)
| p10(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_34021,c_140,c_136,c_135,c_16946,c_19669,c_19907,c_20075,c_20287,c_20394,c_20611,c_20726,c_20938,c_21155,c_29684,c_29906,c_30119,c_30226,c_34021]) ).
tcf(c_34023,plain,
( p10(sK59)
| p11(sK59) ),
inference(renaming,[status(thm)],[c_34022]) ).
tcf(c_34618,plain,
( iPr_def_45(sK58)
| p11(sK59)
| p12(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8707]) ).
tcf(c_34619,plain,
( p12(sK59)
| p11(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_34618,c_139,c_136,c_135,c_16708,c_21386,c_21608,c_21825,c_21936,c_22153,c_22370,c_22590,c_22809,c_22920,c_23140,c_29906,c_30119,c_30226,c_34618]) ).
tcf(c_34620,plain,
( p11(sK59)
| p12(sK59) ),
inference(renaming,[status(thm)],[c_34619]) ).
tcf(c_35108,plain,
( iPr_def_34(sK58)
| p12(sK59)
| p13(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8665]) ).
tcf(c_35603,plain,
( iPr_def_22(sK58)
| p14(sK59)
| p13(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8620]) ).
tcf(c_35852,plain,
( ~ iPr_def_10(sK46)
| ~ sP11(sK45) ),
inference(superposition,[status(thm)],[c_137,c_8607]) ).
tcf(c_42252,plain,
( iPr_def_111(sK58)
| ~ p15(sK59)
| ~ p14(sK59) ),
inference(superposition,[status(thm)],[c_150,c_9030]) ).
tcf(c_42253,plain,
( ~ p14(sK59)
| ~ p15(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_42252,c_136,c_135,c_9395,c_9636,c_9981,c_10193,c_10326,c_10565,c_10698,c_10937,c_11070,c_11309,c_11548,c_11681,c_11920,c_20003,c_42252]) ).
tcf(c_42254,plain,
( ~ p15(sK59)
| ~ p14(sK59) ),
inference(renaming,[status(thm)],[c_42253]) ).
tcf(c_42513,plain,
( iPr_def_111(sK58)
| ~ p15(sK59)
| ~ p1(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8997]) ).
tcf(c_42769,plain,
( iPr_def_97(sK58)
| ~ p3(sK59)
| ~ p4(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8940]) ).
tcf(c_42770,plain,
( ~ p4(sK59)
| ~ p3(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_42769,c_147,c_136,c_135,c_12172,c_12384,c_19039,c_28233,c_28453,c_28675,c_28900,c_29118,c_29342,c_29459,c_29684,c_29906,c_30119,c_30226,c_42769]) ).
tcf(c_42771,plain,
( ~ p3(sK59)
| ~ p4(sK59) ),
inference(renaming,[status(thm)],[c_42770]) ).
tcf(c_43030,plain,
( iPr_def_94(sK58)
| ~ p4(sK59)
| ~ p5(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8923]) ).
tcf(c_43031,plain,
( ~ p5(sK59)
| ~ p4(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_43030,c_146,c_136,c_135,c_12519,c_12758,c_12997,c_18907,c_28453,c_28675,c_28900,c_29118,c_29342,c_29459,c_29684,c_29906,c_30119,c_30226,c_43030]) ).
tcf(c_43032,plain,
( ~ p4(sK59)
| ~ p5(sK59) ),
inference(renaming,[status(thm)],[c_43031]) ).
tcf(c_43291,plain,
( iPr_def_90(sK58)
| ~ p5(sK59)
| ~ p6(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8903]) ).
tcf(c_43292,plain,
( ~ p6(sK59)
| ~ p5(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_43291,c_145,c_136,c_135,c_13212,c_13451,c_13663,c_13902,c_18669,c_28675,c_28900,c_29118,c_29342,c_29459,c_29684,c_29906,c_30119,c_30226,c_43291]) ).
tcf(c_43293,plain,
( ~ p5(sK59)
| ~ p6(sK59) ),
inference(renaming,[status(thm)],[c_43292]) ).
tcf(c_43654,plain,
( iPr_def_85(sK58)
| ~ p6(sK59)
| ~ p7(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8880]) ).
tcf(c_43655,plain,
( ~ p7(sK59)
| ~ p6(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_43654,c_144,c_136,c_135,c_14171,c_14383,c_14648,c_14860,c_15118,c_18324,c_28900,c_29118,c_29342,c_29459,c_29684,c_29906,c_30119,c_30226,c_43654]) ).
tcf(c_43656,plain,
( ~ p6(sK59)
| ~ p7(sK59) ),
inference(renaming,[status(thm)],[c_43655]) ).
tcf(c_43803,plain,
( iPr_def_79(sK58)
| ~ p7(sK59)
| ~ p8(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8854]) ).
tcf(c_43804,plain,
( ~ p8(sK59)
| ~ p7(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_43803,c_143,c_136,c_135,c_15229,c_15468,c_15706,c_15944,c_16156,c_16394,c_18086,c_29118,c_29342,c_29459,c_29684,c_29906,c_30119,c_30226,c_43803]) ).
tcf(c_43805,plain,
( ~ p7(sK59)
| ~ p8(sK59) ),
inference(renaming,[status(thm)],[c_43804]) ).
tcf(c_44058,plain,
( iPr_def_72(sK58)
| ~ p8(sK59)
| ~ p9(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8825]) ).
tcf(c_44059,plain,
( ~ p9(sK59)
| ~ p8(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_44058,c_142,c_136,c_135,c_16612,c_16850,c_16982,c_17220,c_17432,c_17635,c_17670,c_17882,c_29342,c_29459,c_29684,c_29906,c_30119,c_30226,c_44058]) ).
tcf(c_44060,plain,
( ~ p8(sK59)
| ~ p9(sK59) ),
inference(renaming,[status(thm)],[c_44059]) ).
tcf(c_44423,plain,
( iPr_def_64(sK58)
| ~ p9(sK59)
| ~ p10(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8793]) ).
tcf(c_44424,plain,
( ~ p10(sK59)
| ~ p9(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_44423,c_141,c_136,c_135,c_17184,c_18127,c_18365,c_18577,c_18709,c_18947,c_19079,c_19317,c_19555,c_29459,c_29684,c_29906,c_30119,c_30226,c_44423]) ).
tcf(c_44425,plain,
( ~ p9(sK59)
| ~ p10(sK59) ),
inference(renaming,[status(thm)],[c_44424]) ).
tcf(c_44576,plain,
( iPr_def_55(sK58)
| ~ p10(sK59)
| ~ p11(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8758]) ).
tcf(c_44577,plain,
( ~ p11(sK59)
| ~ p10(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_44576,c_140,c_136,c_135,c_16946,c_19669,c_19907,c_20075,c_20287,c_20394,c_20611,c_20726,c_20938,c_21155,c_29684,c_29906,c_30119,c_30226,c_44576]) ).
tcf(c_44578,plain,
( ~ p10(sK59)
| ~ p11(sK59) ),
inference(renaming,[status(thm)],[c_44577]) ).
tcf(c_44943,plain,
( iPr_def_45(sK58)
| ~ p11(sK59)
| ~ p12(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8720]) ).
tcf(c_44944,plain,
( ~ p12(sK59)
| ~ p11(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_44943,c_139,c_136,c_135,c_16708,c_21386,c_21608,c_21825,c_21936,c_22153,c_22370,c_22590,c_22809,c_22920,c_23140,c_29906,c_30119,c_30226,c_44943]) ).
tcf(c_44945,plain,
( ~ p11(sK59)
| ~ p12(sK59) ),
inference(renaming,[status(thm)],[c_44944]) ).
tcf(c_45088,plain,
( iPr_def_34(sK58)
| ~ p12(sK59)
| ~ p13(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8679]) ).
tcf(c_45445,plain,
( iPr_def_22(sK58)
| ~ p14(sK59)
| ~ p13(sK59) ),
inference(superposition,[status(thm)],[c_150,c_8635]) ).
fof(f9,definition,
! [X156] :
( ~ sP0(X156)
| ! [X161] :
( ( ! [X165] :
( ! [X166] :
( ( ( ~ p1(X166)
| ~ p2(X166) )
& ( p2(X166)
| p1(X166) ) )
| ~ r1(X165,X166) )
| ~ r1(X161,X165) )
& ? [X164] :
( ~ p3(X164)
& r1(X161,X164) )
& ! [X162] :
( ! [X163] :
( ( ( ~ p2(X163)
| ~ p3(X163) )
& ( p3(X163)
| p2(X163) ) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) ) )
| ~ r1(X156,X161) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X150] :
( ~ sP1(X150)
| ! [X156] :
( ( sP0(X156)
& ? [X160] :
( ~ p4(X160)
& r1(X156,X160) )
& ! [X157] :
( ! [X158] :
( ! [X159] :
( ( ( ~ p3(X159)
| ~ p4(X159) )
& ( p4(X159)
| p3(X159) ) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) ) )
| ~ r1(X150,X156) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X143] :
( ~ sP2(X143)
| ! [X150] :
( ( sP1(X150)
& ? [X155] :
( ~ p5(X155)
& r1(X150,X155) )
& ! [X151] :
( ! [X152] :
( ! [X153] :
( ! [X154] :
( ( ( ~ p4(X154)
| ~ p5(X154) )
& ( p5(X154)
| p4(X154) ) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X150,X151) ) )
| ~ r1(X143,X150) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X135] :
( ~ sP3(X135)
| ! [X143] :
( ( sP2(X143)
& ? [X149] :
( ~ p6(X149)
& r1(X143,X149) )
& ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ! [X148] :
( ( ( ~ p5(X148)
| ~ p6(X148) )
& ( p6(X148)
| p5(X148) ) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) ) )
| ~ r1(X135,X143) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X126] :
( ~ sP4(X126)
| ! [X135] :
( ( sP3(X135)
& ? [X142] :
( ~ p7(X142)
& r1(X135,X142) )
& ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ( ( ~ p6(X141)
| ~ p7(X141) )
& ( p7(X141)
| p6(X141) ) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X135,X136) ) )
| ~ r1(X126,X135) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X116] :
( ~ sP5(X116)
| ! [X126] :
( ( sP4(X126)
& ? [X134] :
( ~ p8(X134)
& r1(X126,X134) )
& ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ! [X133] :
( ( ( ~ p7(X133)
| ~ p8(X133) )
& ( p8(X133)
| p7(X133) ) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) ) )
| ~ r1(X116,X126) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X105] :
( ~ sP6(X105)
| ! [X116] :
( ( sP5(X116)
& ? [X125] :
( ~ p9(X125)
& r1(X116,X125) )
& ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ( ( ~ p8(X124)
| ~ p9(X124) )
& ( p9(X124)
| p8(X124) ) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X116,X117) ) )
| ~ r1(X105,X116) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X93] :
( ~ sP7(X93)
| ! [X105] :
( ( sP6(X105)
& ? [X115] :
( ~ p10(X115)
& r1(X105,X115) )
& ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ! [X112] :
( ! [X113] :
( ! [X114] :
( ( ( ~ p9(X114)
| ~ p10(X114) )
& ( p10(X114)
| p9(X114) ) )
| ~ r1(X113,X114) )
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) ) )
| ~ r1(X93,X105) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X80] :
( ~ sP8(X80)
| ! [X93] :
( ( sP7(X93)
& ? [X104] :
( ~ p11(X104)
& r1(X93,X104) )
& ! [X94] :
( ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ( ( ~ p10(X103)
| ~ p11(X103) )
& ( p11(X103)
| p10(X103) ) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) ) )
| ~ r1(X80,X93) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X66] :
( ~ sP9(X66)
| ! [X80] :
( ( sP8(X80)
& ? [X92] :
( ~ p12(X92)
& r1(X80,X92) )
& ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ( ( ~ p11(X91)
| ~ p12(X91) )
& ( p12(X91)
| p11(X91) ) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) ) )
| ~ r1(X66,X80) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X51] :
( ~ sP10(X51)
| ! [X66] :
( ( sP9(X66)
& ? [X79] :
( ~ p13(X79)
& r1(X66,X79) )
& ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ! [X74] :
( ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ( ( ~ p12(X78)
| ~ p13(X78) )
& ( p13(X78)
| p12(X78) ) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X74,X75) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) ) )
| ~ r1(X51,X66) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X35] :
( ~ sP11(X35)
| ! [X51] :
( ( sP10(X51)
& ? [X65] :
( ~ p14(X65)
& r1(X51,X65) )
& ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ( ( ~ p13(X64)
| ~ p14(X64) )
& ( p14(X64)
| p13(X64) ) )
| ~ 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(X35,X51) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f21,plain,
? [X0] :
( ? [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) )
& ! [X18] :
( ( ! [X35] :
( ( sP11(X35)
& ? [X50] :
( ~ p15(X50)
& r1(X35,X50) )
& ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ! [X49] :
( ( ( ~ p14(X49)
| ~ p15(X49) )
& ( p15(X49)
| p14(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(X18,X35) )
& ? [X34] : r1(X18,X34)
& ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ( ( ~ p15(X33)
| ~ p1(X33) )
& ( p1(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(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) )
& ? [X17] : r1(X0,X17)
& ? [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) ) ),
inference(definition_folding,[],[f8,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f55,plain,
! [X156] :
( ~ sP0(X156)
| ! [X161] :
( ( ! [X165] :
( ! [X166] :
( ( ( ~ p1(X166)
| ~ p2(X166) )
& ( p2(X166)
| p1(X166) ) )
| ~ r1(X165,X166) )
| ~ r1(X161,X165) )
& ? [X164] :
( ~ p3(X164)
& r1(X161,X164) )
& ! [X162] :
( ! [X163] :
( ( ( ~ p2(X163)
| ~ p3(X163) )
& ( p3(X163)
| p2(X163) ) )
| ~ r1(X162,X163) )
| ~ r1(X161,X162) ) )
| ~ r1(X156,X161) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f56,plain,
! [X0] :
( ~ sP0(X0)
| ! [X1] :
( ( ! [X5] :
( ! [X6] :
( ( ( ~ p1(X6)
| ~ p2(X6) )
& ( p2(X6)
| p1(X6) ) )
| ~ r1(X5,X6) )
| ~ r1(X1,X5) )
& ? [X4] :
( ~ p3(X4)
& r1(X1,X4) )
& ! [X2] :
( ! [X3] :
( ( ( ~ p2(X3)
| ~ p3(X3) )
& ( p3(X3)
| p2(X3) ) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f55]) ).
fof(f57,plain,
! [X0] :
( ~ sP0(X0)
| ! [X1] :
( ( ! [X5] :
( ! [X6] :
( ( ( ~ p1(X6)
| ~ p2(X6) )
& ( p2(X6)
| p1(X6) ) )
| ~ r1(X5,X6) )
| ~ r1(X1,X5) )
& ~ p3(sK23(X1))
& r1(X1,sK23(X1))
& ! [X2] :
( ! [X3] :
( ( ( ~ p2(X3)
| ~ p3(X3) )
& ( p3(X3)
| p2(X3) ) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X4,sK23(X1))],[f56]) ).
fof(f115,plain,
! [X0,X1,X6,X5] :
( ~ sP0(X0)
| ~ p1(X6)
| ~ p2(X6)
| ~ r1(X5,X6)
| ~ r1(X1,X5)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f116,plain,
! [X0,X1,X6,X5] :
( ~ sP0(X0)
| p2(X6)
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X1,X5)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f119,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0)
| ~ p2(X3)
| ~ p3(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0)
| p3(X3)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(X3)
| p3(X3)
| ~ sP0(X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ p2(X3)
| ~ sP0(X0)
| ~ p3(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p2(X3)
| ~ sP0(X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ p1(X3)
| ~ p2(X3)
| ~ sP0(X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_1303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p1(X3)
| ~ sP0(X4)
| ~ sP0(X0)
| ~ p3(X3)
| ~ r1(X6,X3)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_108,c_105]) ).
tcf(c_1305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ p3(X3)
| ~ sP0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1303,c_108,c_105]) ).
tcf(c_1306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| ~ sP0(X0)
| ~ p3(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(renaming,[status(thm)],[c_1305]) ).
tcf(c_1325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p3(X3)
| ~ p1(X3)
| ~ sP0(X4)
| ~ sP0(X0)
| ~ r1(X6,X3)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_104,c_109]) ).
tcf(c_1327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p3(X3)
| ~ p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1325,c_104,c_109]) ).
tcf(c_1328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p3(X3)
| ~ p1(X3)
| ~ sP0(X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(renaming,[status(thm)],[c_1327]) ).
tcf(c_9065,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_112(X1)
| ~ sP0(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_112])],[c_1306]) ).
tcf(c_9066,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_113(X1)
| iPr_def_112(X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_113])],[c_1306]) ).
tcf(c_9067,plain,
! [X0: $i,X1: $i] :
( iPr_def_113(X0)
| p1(X1)
| ~ p3(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1306]) ).
tcf(c_9071,plain,
! [X0: $i,X1: $i] :
( iPr_def_113(X0)
| p3(X1)
| ~ p1(X1)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1328]) ).
tcf(c_9288,plain,
( iPr_def_112(sK57)
| ~ iPr_def_113(sK58) ),
inference(superposition,[status(thm)],[c_149,c_9066]) ).
tcf(c_19277,plain,
( ~ iPr_def_112(sK57)
| ~ sP0(sK56)
| ~ r1(sK56,sK57) ),
inference(instantiation,[status(thm)],[c_9065]) ).
tcf(c_36319,plain,
( iPr_def_113(sK58)
| p3(sK59)
| ~ p1(sK59) ),
inference(superposition,[status(thm)],[c_150,c_9071]) ).
tcf(c_36582,plain,
( iPr_def_113(sK58)
| p1(sK59)
| ~ p3(sK59) ),
inference(superposition,[status(thm)],[c_150,c_9067]) ).
tcf(c_36583,plain,
( ~ p3(sK59)
| p1(sK59) ),
inference(global_subsumption_just,[status(thm)],[c_36582,c_148,c_136,c_135,c_9288,c_19277,c_28019,c_28233,c_28453,c_28675,c_28900,c_29118,c_29342,c_29459,c_29684,c_29906,c_30119,c_30226,c_36582]) ).
tcf(c_36584,plain,
( p1(sK59)
| ~ p3(sK59) ),
inference(renaming,[status(thm)],[c_36583]) ).
tcf(c_45089,plain,
~ p12(sK59),
inference(global_subsumption_just,[status(thm)],[c_45088,c_148,c_146,c_138,c_136,c_135,c_9288,c_12519,c_12758,c_12997,c_16363,c_18907,c_19277,c_23369,c_23586,c_23803,c_23973,c_24185,c_24398,c_24615,c_24734,c_24958,c_25076,c_25298,c_25533,c_25760,c_25988,c_26210,c_26432,c_26650,c_26768,c_26992,c_27215,c_27439,c_27661,c_27888,c_28019,c_28233,c_28453,c_28675,c_28900,c_29118,c_29342,c_29459,c_29684,c_29906,c_30119,c_30226,c_30665,c_31405,c_32373,c_33234,c_34023,c_35603,c_35852,c_36319,c_42254,c_42771,c_43293,c_43805,c_44425,c_44945,c_45088]) ).
tcf(c_45446,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_45445,c_45089,c_44578,c_44060,c_43656,c_43032,c_42513,c_36584,c_35852,c_35108,c_34620,c_33531,c_32858,c_31993,c_30925,c_30515,c_30226,c_30119,c_29906,c_29684,c_29459,c_29342,c_29118,c_28900,c_28675,c_28453,c_28233,c_27888,c_27661,c_27439,c_27215,c_26992,c_26768,c_26650,c_26432,c_26210,c_25988,c_25760,c_25533,c_25298,c_25076,c_24958,c_24734,c_24615,c_24398,c_24185,c_23973,c_23803,c_23586,c_23369,c_20003,c_19039,c_16363,c_12384,c_12172,c_11920,c_11681,c_11548,c_11309,c_11070,c_10937,c_10698,c_10565,c_10326,c_10193,c_9981,c_9636,c_9395,c_135,c_136,c_138,c_147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL650+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 23:58:43 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 39.38/6.31 % SZS status Started for theBenchmark.p
% 39.38/6.31 % SZS status Theorem for theBenchmark.p
% 39.38/6.31
% 39.38/6.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 39.38/6.31
% 39.38/6.31 % ------ iProver source info
% 39.38/6.31
% 39.38/6.31 % git: date: 2026-07-19 20:42:38 +0200
% 39.38/6.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 39.38/6.31 % git: non_committed_changes: false
% 39.38/6.31
% 39.38/6.31 % ------ Parsing...
% 39.38/6.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 39.38/6.31
% 39.38/6.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 39.38/6.31
% 39.38/6.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 236 0s scvd_e snvd_s sp: 0 0s snvd_e
% 39.38/6.31 % ------ Proving...
% 39.38/6.31 % ------ Problem Properties
% 39.38/6.31
% 39.38/6.31 %
% 39.38/6.31 % clauses 204
% 39.38/6.31 % conjectures 55
% 39.38/6.31 % EPR 177
% 39.38/6.31 % Horn 189
% 39.38/6.31 % unary 33
% 39.38/6.31 % binary 1
% 39.38/6.31 % lits 573
% 39.38/6.31 % lits eq 0
% 39.38/6.31 % fd_pure 0
% 39.38/6.31 % fd_pseudo 0
% 39.38/6.31 % fd_cond 0
% 39.38/6.31 % fd_pseudo_cond 0
% 39.38/6.31 % AC symbols 0
% 39.38/6.31
% 39.38/6.31 % ------ Input Options Time Limit: Unbounded
% 39.38/6.31
% 39.38/6.31
% 39.38/6.31 % ------
% 39.38/6.31 % Current options:
% 39.38/6.31 % ------
% 39.38/6.31
% 39.38/6.31
% 39.38/6.31 %
% 39.38/6.31
% 39.38/6.31 % ------ Proving...
% 39.38/6.31 %
% 39.38/6.31
% 39.38/6.31 % SZS status Theorem for theBenchmark.p
% 39.38/6.31
% 39.38/6.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.38/6.32
% 39.38/6.32
%------------------------------------------------------------------------------