%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL644+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 : Tue Sep 29 11:53:46 AM UTC 2026
% Result : Theorem 0.26s 0.77s
% Output : Refutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 51
% Syntax : Number of formulae : 62 ( 3 unt; 50 def)
% Number of atoms : 3483 ( 0 equ)
% Maximal formula atoms : 440 ( 56 avg)
% Number of connectives : 5235 (1814 ~;1978 |;1443 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 12 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 63 ( 62 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 3 con; 0-1 aty)
% Number of variables : 1202 ( 956 !; 246 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p11(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p11(X0) ) )
| p10(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p11(X1)
| ~ ( p10(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p10(X0) )
& p10(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p11(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p11(X1) ) )
| p10(X0) )
| p11(X1)
| ~ ( p10(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p10(X0) )
& p10(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p11(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p11(X0) ) )
| p10(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p11(X0)
| ~ ( p10(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p10(X1) )
& p10(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p11(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p11(X0) ) )
| p10(X1)
| p11(X1)
| ~ ( p10(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p10(X0) )
& p10(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p10(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p10(X0) ) )
| p9(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p10(X1)
| ~ ( p9(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p9(X0) )
& p9(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p10(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p10(X1) ) )
| p9(X0) )
| p10(X1)
| ~ ( p9(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p9(X0) )
& p9(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p10(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p10(X0) ) )
| p9(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p10(X0)
| ~ ( p9(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p9(X1) )
& p9(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p10(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p10(X0) ) )
| p9(X1)
| p10(X1)
| ~ ( p9(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p9(X0) )
& p9(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p9(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p9(X0) ) )
| p8(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p9(X1)
| ~ ( p8(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p8(X0) )
& p8(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p9(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p9(X1) ) )
| p8(X0) )
| p9(X1)
| ~ ( p8(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p8(X0) )
& p8(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p9(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p9(X0) ) )
| p8(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p9(X0)
| ~ ( p8(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p8(X1) )
& p8(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p9(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p9(X0) ) )
| p8(X1)
| p9(X1)
| ~ ( p8(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p8(X0) )
& p8(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p8(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p8(X0) ) )
| p7(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p8(X1)
| ~ ( p7(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p7(X0) )
& p7(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p8(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p8(X1) ) )
| p7(X0) )
| p8(X1)
| ~ ( p7(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p7(X0) )
& p7(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p8(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p8(X0) ) )
| p7(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p8(X0)
| ~ ( p7(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p7(X1) )
& p7(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p8(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p8(X0) ) )
| p7(X1)
| p8(X1)
| ~ ( p7(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p7(X0) )
& p7(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p7(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p7(X0) ) )
| p6(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p7(X1)
| ~ ( p6(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p6(X0) )
& p6(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p7(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p7(X1) ) )
| p6(X0) )
| p7(X1)
| ~ ( p6(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p6(X0) )
& p6(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p7(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p7(X0) ) )
| p6(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p7(X0)
| ~ ( p6(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p6(X1) )
& p6(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p7(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p7(X0) ) )
| p6(X1)
| p7(X1)
| ~ ( p6(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p6(X0) )
& p6(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p6(X0) ) )
| p5(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p6(X1)
| ~ ( p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) )
& p5(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p6(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p6(X1) ) )
| p5(X0) )
| p6(X1)
| ~ ( p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) )
& p5(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p6(X0) ) )
| p5(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ ( p5(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
& p5(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p6(X0) ) )
| p5(X1)
| p6(X1)
| ~ ( p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) )
& p5(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) ) )
| p4(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p5(X1)
| ~ ( p4(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p4(X0) )
& p4(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p5(X1) ) )
| p4(X0) )
| p5(X1)
| ~ ( p4(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p4(X0) )
& p4(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) ) )
| p4(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ ( p4(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p4(X1) )
& p4(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) ) )
| p4(X1)
| p5(X1)
| ~ ( p4(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p4(X0) )
& p4(X1) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p10(X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p10(X0) )
& p10(X1) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p10(X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p10(X0) )
& p10(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p4(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p4(X0) ) )
| p3(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ ( p3(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
& p3(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p4(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p4(X1) ) )
| p3(X0) )
| p4(X1)
| ~ ( p3(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
& p3(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p4(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p4(X0) ) )
| p3(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ~ ( p3(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
& p3(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p4(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p4(X0) ) )
| p3(X1)
| p4(X1)
| ~ ( p3(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
& p3(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p3(X0) ) )
| p2(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ( p2(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
& p2(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p3(X1) ) )
| p2(X0) )
| p3(X1)
| ~ ( p2(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
& p2(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p3(X0) ) )
| p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ ( p2(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& p2(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p3(X0) ) )
| p2(X1)
| p3(X1)
| ~ ( p2(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
& p2(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p2(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| p1(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ( p1(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
& p1(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| p1(X0) )
| p2(X1)
| ~ ( p1(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
& p1(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p2(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ( p1(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
& p1(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p2(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| p1(X1)
| p2(X1)
| ~ ( p1(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
& p1(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p11(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p11(X0) ) )
| p10(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p11(X1)
| ~ ( p10(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p10(X0) )
& p10(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p11(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p11(X1) ) )
| p10(X0) )
| p11(X1)
| ~ ( p10(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p10(X0) )
& p10(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p11(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p11(X0) ) )
| p10(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p11(X0)
| ~ ( p10(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p10(X1) )
& p10(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p11(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p11(X0) ) )
| p10(X1)
| p11(X1)
| ~ ( p10(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p10(X0) )
& p10(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p10(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p10(X0) ) )
| p9(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p10(X1)
| ~ ( p9(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p9(X0) )
& p9(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p10(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p10(X1) ) )
| p9(X0) )
| p10(X1)
| ~ ( p9(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p9(X0) )
& p9(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p10(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p10(X0) ) )
| p9(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p10(X0)
| ~ ( p9(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p9(X1) )
& p9(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p10(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p10(X0) ) )
| p9(X1)
| p10(X1)
| ~ ( p9(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p9(X0) )
& p9(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p9(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p9(X0) ) )
| p8(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p9(X1)
| ~ ( p8(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p8(X0) )
& p8(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p9(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p9(X1) ) )
| p8(X0) )
| p9(X1)
| ~ ( p8(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p8(X0) )
& p8(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p9(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p9(X0) ) )
| p8(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p9(X0)
| ~ ( p8(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p8(X1) )
& p8(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p9(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p9(X0) ) )
| p8(X1)
| p9(X1)
| ~ ( p8(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p8(X0) )
& p8(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p8(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p8(X0) ) )
| p7(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p8(X1)
| ~ ( p7(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p7(X0) )
& p7(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p8(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p8(X1) ) )
| p7(X0) )
| p8(X1)
| ~ ( p7(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p7(X0) )
& p7(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p8(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p8(X0) ) )
| p7(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p8(X0)
| ~ ( p7(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p7(X1) )
& p7(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p8(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p8(X0) ) )
| p7(X1)
| p8(X1)
| ~ ( p7(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p7(X0) )
& p7(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p7(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p7(X0) ) )
| p6(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p7(X1)
| ~ ( p6(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p6(X0) )
& p6(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p7(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p7(X1) ) )
| p6(X0) )
| p7(X1)
| ~ ( p6(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p6(X0) )
& p6(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p7(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p7(X0) ) )
| p6(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p7(X0)
| ~ ( p6(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p6(X1) )
& p6(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p7(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p7(X0) ) )
| p6(X1)
| p7(X1)
| ~ ( p6(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p6(X0) )
& p6(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p6(X0) ) )
| p5(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p6(X1)
| ~ ( p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) )
& p5(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p6(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p6(X1) ) )
| p5(X0) )
| p6(X1)
| ~ ( p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) )
& p5(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p6(X0) ) )
| p5(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ ( p5(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
& p5(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p6(X0) ) )
| p5(X1)
| p6(X1)
| ~ ( p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) )
& p5(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) ) )
| p4(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p5(X1)
| ~ ( p4(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p4(X0) )
& p4(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p5(X1) ) )
| p4(X0) )
| p5(X1)
| ~ ( p4(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p4(X0) )
& p4(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) ) )
| p4(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ ( p4(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p4(X1) )
& p4(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p5(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p5(X0) ) )
| p4(X1)
| p5(X1)
| ~ ( p4(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p4(X0) )
& p4(X1) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p10(X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p10(X0) )
& p10(X1) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p10(X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p10(X0) )
& p10(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p4(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p4(X0) ) )
| p3(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ ( p3(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
& p3(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p4(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p4(X1) ) )
| p3(X0) )
| p4(X1)
| ~ ( p3(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
& p3(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p4(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p4(X0) ) )
| p3(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ~ ( p3(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
& p3(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p4(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p4(X0) ) )
| p3(X1)
| p4(X1)
| ~ ( p3(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
& p3(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p3(X0) ) )
| p2(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ( p2(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
& p2(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p3(X1) ) )
| p2(X0) )
| p3(X1)
| ~ ( p2(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
& p2(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p3(X0) ) )
| p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ ( p2(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& p2(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p3(X0) ) )
| p2(X1)
| p3(X1)
| ~ ( p2(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
& p2(X1) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p2(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| p1(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ( p1(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
& p1(X1) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| p1(X0) )
| p2(X1)
| ~ ( p1(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
& p1(X1) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p2(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ( p1(X0)
& ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
& p1(X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ( p2(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| p1(X1)
| p2(X1)
| ~ ( p1(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
& p1(X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p11(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p11(X2) ) )
| p10(X1) )
| ! [X3] :
( ~ r1(X0,X3)
| p11(X3)
| ~ ( p10(X3)
& ! [X4] :
( ~ r1(X3,X4)
| p10(X4) )
& p10(X3) ) )
| ~ ( ! [X5] :
( ~ r1(X0,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ~ ( p11(X6)
& ! [X7] :
( ~ r1(X6,X7)
| p11(X7) ) )
| p10(X6) )
| p11(X5)
| ~ ( p10(X5)
& ! [X8] :
( ~ r1(X5,X8)
| p10(X8) )
& p10(X5) ) )
& ! [X9] :
( ~ r1(X0,X9)
| ~ ( p11(X9)
& ! [X10] :
( ~ r1(X9,X10)
| p11(X10) ) )
| p10(X9)
| ! [X11] :
( ~ r1(X9,X11)
| p11(X11)
| ~ ( p10(X11)
& ! [X12] :
( ~ r1(X11,X12)
| p10(X12) )
& p10(X11) ) ) )
& ! [X13] :
( ~ r1(X0,X13)
| ~ ( p11(X13)
& ! [X14] :
( ~ r1(X13,X14)
| p11(X14) ) )
| p10(X13)
| p11(X13)
| ~ ( p10(X13)
& ! [X15] :
( ~ r1(X13,X15)
| p10(X15) )
& p10(X13) ) ) ) )
| ~ ( ! [X16] :
( ~ r1(X0,X16)
| ~ ( p10(X16)
& ! [X17] :
( ~ r1(X16,X17)
| p10(X17) ) )
| p9(X16) )
| ! [X18] :
( ~ r1(X0,X18)
| p10(X18)
| ~ ( p9(X18)
& ! [X19] :
( ~ r1(X18,X19)
| p9(X19) )
& p9(X18) ) )
| ~ ( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ~ ( p10(X21)
& ! [X22] :
( ~ r1(X21,X22)
| p10(X22) ) )
| p9(X21) )
| p10(X20)
| ~ ( p9(X20)
& ! [X23] :
( ~ r1(X20,X23)
| p9(X23) )
& p9(X20) ) )
& ! [X24] :
( ~ r1(X0,X24)
| ~ ( p10(X24)
& ! [X25] :
( ~ r1(X24,X25)
| p10(X25) ) )
| p9(X24)
| ! [X26] :
( ~ r1(X24,X26)
| p10(X26)
| ~ ( p9(X26)
& ! [X27] :
( ~ r1(X26,X27)
| p9(X27) )
& p9(X26) ) ) )
& ! [X28] :
( ~ r1(X0,X28)
| ~ ( p10(X28)
& ! [X29] :
( ~ r1(X28,X29)
| p10(X29) ) )
| p9(X28)
| p10(X28)
| ~ ( p9(X28)
& ! [X30] :
( ~ r1(X28,X30)
| p9(X30) )
& p9(X28) ) ) ) )
| ~ ( ! [X31] :
( ~ r1(X0,X31)
| ~ ( p9(X31)
& ! [X32] :
( ~ r1(X31,X32)
| p9(X32) ) )
| p8(X31) )
| ! [X33] :
( ~ r1(X0,X33)
| p9(X33)
| ~ ( p8(X33)
& ! [X34] :
( ~ r1(X33,X34)
| p8(X34) )
& p8(X33) ) )
| ~ ( ! [X35] :
( ~ r1(X0,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ~ ( p9(X36)
& ! [X37] :
( ~ r1(X36,X37)
| p9(X37) ) )
| p8(X36) )
| p9(X35)
| ~ ( p8(X35)
& ! [X38] :
( ~ r1(X35,X38)
| p8(X38) )
& p8(X35) ) )
& ! [X39] :
( ~ r1(X0,X39)
| ~ ( p9(X39)
& ! [X40] :
( ~ r1(X39,X40)
| p9(X40) ) )
| p8(X39)
| ! [X41] :
( ~ r1(X39,X41)
| p9(X41)
| ~ ( p8(X41)
& ! [X42] :
( ~ r1(X41,X42)
| p8(X42) )
& p8(X41) ) ) )
& ! [X43] :
( ~ r1(X0,X43)
| ~ ( p9(X43)
& ! [X44] :
( ~ r1(X43,X44)
| p9(X44) ) )
| p8(X43)
| p9(X43)
| ~ ( p8(X43)
& ! [X45] :
( ~ r1(X43,X45)
| p8(X45) )
& p8(X43) ) ) ) )
| ~ ( ! [X46] :
( ~ r1(X0,X46)
| ~ ( p8(X46)
& ! [X47] :
( ~ r1(X46,X47)
| p8(X47) ) )
| p7(X46) )
| ! [X48] :
( ~ r1(X0,X48)
| p8(X48)
| ~ ( p7(X48)
& ! [X49] :
( ~ r1(X48,X49)
| p7(X49) )
& p7(X48) ) )
| ~ ( ! [X50] :
( ~ r1(X0,X50)
| ! [X51] :
( ~ r1(X50,X51)
| ~ ( p8(X51)
& ! [X52] :
( ~ r1(X51,X52)
| p8(X52) ) )
| p7(X51) )
| p8(X50)
| ~ ( p7(X50)
& ! [X53] :
( ~ r1(X50,X53)
| p7(X53) )
& p7(X50) ) )
& ! [X54] :
( ~ r1(X0,X54)
| ~ ( p8(X54)
& ! [X55] :
( ~ r1(X54,X55)
| p8(X55) ) )
| p7(X54)
| ! [X56] :
( ~ r1(X54,X56)
| p8(X56)
| ~ ( p7(X56)
& ! [X57] :
( ~ r1(X56,X57)
| p7(X57) )
& p7(X56) ) ) )
& ! [X58] :
( ~ r1(X0,X58)
| ~ ( p8(X58)
& ! [X59] :
( ~ r1(X58,X59)
| p8(X59) ) )
| p7(X58)
| p8(X58)
| ~ ( p7(X58)
& ! [X60] :
( ~ r1(X58,X60)
| p7(X60) )
& p7(X58) ) ) ) )
| ~ ( ! [X61] :
( ~ r1(X0,X61)
| ~ ( p7(X61)
& ! [X62] :
( ~ r1(X61,X62)
| p7(X62) ) )
| p6(X61) )
| ! [X63] :
( ~ r1(X0,X63)
| p7(X63)
| ~ ( p6(X63)
& ! [X64] :
( ~ r1(X63,X64)
| p6(X64) )
& p6(X63) ) )
| ~ ( ! [X65] :
( ~ r1(X0,X65)
| ! [X66] :
( ~ r1(X65,X66)
| ~ ( p7(X66)
& ! [X67] :
( ~ r1(X66,X67)
| p7(X67) ) )
| p6(X66) )
| p7(X65)
| ~ ( p6(X65)
& ! [X68] :
( ~ r1(X65,X68)
| p6(X68) )
& p6(X65) ) )
& ! [X69] :
( ~ r1(X0,X69)
| ~ ( p7(X69)
& ! [X70] :
( ~ r1(X69,X70)
| p7(X70) ) )
| p6(X69)
| ! [X71] :
( ~ r1(X69,X71)
| p7(X71)
| ~ ( p6(X71)
& ! [X72] :
( ~ r1(X71,X72)
| p6(X72) )
& p6(X71) ) ) )
& ! [X73] :
( ~ r1(X0,X73)
| ~ ( p7(X73)
& ! [X74] :
( ~ r1(X73,X74)
| p7(X74) ) )
| p6(X73)
| p7(X73)
| ~ ( p6(X73)
& ! [X75] :
( ~ r1(X73,X75)
| p6(X75) )
& p6(X73) ) ) ) )
| ~ ( ! [X76] :
( ~ r1(X0,X76)
| ~ ( p6(X76)
& ! [X77] :
( ~ r1(X76,X77)
| p6(X77) ) )
| p5(X76) )
| ! [X78] :
( ~ r1(X0,X78)
| p6(X78)
| ~ ( p5(X78)
& ! [X79] :
( ~ r1(X78,X79)
| p5(X79) )
& p5(X78) ) )
| ~ ( ! [X80] :
( ~ r1(X0,X80)
| ! [X81] :
( ~ r1(X80,X81)
| ~ ( p6(X81)
& ! [X82] :
( ~ r1(X81,X82)
| p6(X82) ) )
| p5(X81) )
| p6(X80)
| ~ ( p5(X80)
& ! [X83] :
( ~ r1(X80,X83)
| p5(X83) )
& p5(X80) ) )
& ! [X84] :
( ~ r1(X0,X84)
| ~ ( p6(X84)
& ! [X85] :
( ~ r1(X84,X85)
| p6(X85) ) )
| p5(X84)
| ! [X86] :
( ~ r1(X84,X86)
| p6(X86)
| ~ ( p5(X86)
& ! [X87] :
( ~ r1(X86,X87)
| p5(X87) )
& p5(X86) ) ) )
& ! [X88] :
( ~ r1(X0,X88)
| ~ ( p6(X88)
& ! [X89] :
( ~ r1(X88,X89)
| p6(X89) ) )
| p5(X88)
| p6(X88)
| ~ ( p5(X88)
& ! [X90] :
( ~ r1(X88,X90)
| p5(X90) )
& p5(X88) ) ) ) )
| ~ ( ! [X91] :
( ~ r1(X0,X91)
| ~ ( p5(X91)
& ! [X92] :
( ~ r1(X91,X92)
| p5(X92) ) )
| p4(X91) )
| ! [X93] :
( ~ r1(X0,X93)
| p5(X93)
| ~ ( p4(X93)
& ! [X94] :
( ~ r1(X93,X94)
| p4(X94) )
& p4(X93) ) )
| ~ ( ! [X95] :
( ~ r1(X0,X95)
| ! [X96] :
( ~ r1(X95,X96)
| ~ ( p5(X96)
& ! [X97] :
( ~ r1(X96,X97)
| p5(X97) ) )
| p4(X96) )
| p5(X95)
| ~ ( p4(X95)
& ! [X98] :
( ~ r1(X95,X98)
| p4(X98) )
& p4(X95) ) )
& ! [X99] :
( ~ r1(X0,X99)
| ~ ( p5(X99)
& ! [X100] :
( ~ r1(X99,X100)
| p5(X100) ) )
| p4(X99)
| ! [X101] :
( ~ r1(X99,X101)
| p5(X101)
| ~ ( p4(X101)
& ! [X102] :
( ~ r1(X101,X102)
| p4(X102) )
& p4(X101) ) ) )
& ! [X103] :
( ~ r1(X0,X103)
| ~ ( p5(X103)
& ! [X104] :
( ~ r1(X103,X104)
| p5(X104) ) )
| p4(X103)
| p5(X103)
| ~ ( p4(X103)
& ! [X105] :
( ~ r1(X103,X105)
| p4(X105) )
& p4(X103) ) ) ) )
| ! [X106] :
( ~ r1(X0,X106)
| p10(X106)
| ~ ( ! [X107] :
( ~ r1(X106,X107)
| p10(X107) )
& p10(X106) ) )
| ! [X108] :
( ~ r1(X0,X108)
| p10(X108)
| ~ ( ! [X109] :
( ~ r1(X108,X109)
| p10(X109) )
& p10(X108) ) )
| ~ ( ! [X110] :
( ~ r1(X0,X110)
| ~ ( p4(X110)
& ! [X111] :
( ~ r1(X110,X111)
| p4(X111) ) )
| p3(X110) )
| ! [X112] :
( ~ r1(X0,X112)
| p4(X112)
| ~ ( p3(X112)
& ! [X113] :
( ~ r1(X112,X113)
| p3(X113) )
& p3(X112) ) )
| ~ ( ! [X114] :
( ~ r1(X0,X114)
| ! [X115] :
( ~ r1(X114,X115)
| ~ ( p4(X115)
& ! [X116] :
( ~ r1(X115,X116)
| p4(X116) ) )
| p3(X115) )
| p4(X114)
| ~ ( p3(X114)
& ! [X117] :
( ~ r1(X114,X117)
| p3(X117) )
& p3(X114) ) )
& ! [X118] :
( ~ r1(X0,X118)
| ~ ( p4(X118)
& ! [X119] :
( ~ r1(X118,X119)
| p4(X119) ) )
| p3(X118)
| ! [X120] :
( ~ r1(X118,X120)
| p4(X120)
| ~ ( p3(X120)
& ! [X121] :
( ~ r1(X120,X121)
| p3(X121) )
& p3(X120) ) ) )
& ! [X122] :
( ~ r1(X0,X122)
| ~ ( p4(X122)
& ! [X123] :
( ~ r1(X122,X123)
| p4(X123) ) )
| p3(X122)
| p4(X122)
| ~ ( p3(X122)
& ! [X124] :
( ~ r1(X122,X124)
| p3(X124) )
& p3(X122) ) ) ) )
| ~ ( ! [X125] :
( ~ r1(X0,X125)
| ~ ( p3(X125)
& ! [X126] :
( ~ r1(X125,X126)
| p3(X126) ) )
| p2(X125) )
| ! [X127] :
( ~ r1(X0,X127)
| p3(X127)
| ~ ( p2(X127)
& ! [X128] :
( ~ r1(X127,X128)
| p2(X128) )
& p2(X127) ) )
| ~ ( ! [X129] :
( ~ r1(X0,X129)
| ! [X130] :
( ~ r1(X129,X130)
| ~ ( p3(X130)
& ! [X131] :
( ~ r1(X130,X131)
| p3(X131) ) )
| p2(X130) )
| p3(X129)
| ~ ( p2(X129)
& ! [X132] :
( ~ r1(X129,X132)
| p2(X132) )
& p2(X129) ) )
& ! [X133] :
( ~ r1(X0,X133)
| ~ ( p3(X133)
& ! [X134] :
( ~ r1(X133,X134)
| p3(X134) ) )
| p2(X133)
| ! [X135] :
( ~ r1(X133,X135)
| p3(X135)
| ~ ( p2(X135)
& ! [X136] :
( ~ r1(X135,X136)
| p2(X136) )
& p2(X135) ) ) )
& ! [X137] :
( ~ r1(X0,X137)
| ~ ( p3(X137)
& ! [X138] :
( ~ r1(X137,X138)
| p3(X138) ) )
| p2(X137)
| p3(X137)
| ~ ( p2(X137)
& ! [X139] :
( ~ r1(X137,X139)
| p2(X139) )
& p2(X137) ) ) ) )
| ~ ( ! [X140] :
( ~ r1(X0,X140)
| ~ ( p2(X140)
& ! [X141] :
( ~ r1(X140,X141)
| p2(X141) ) )
| p1(X140) )
| ! [X142] :
( ~ r1(X0,X142)
| p2(X142)
| ~ ( p1(X142)
& ! [X143] :
( ~ r1(X142,X143)
| p1(X143) )
& p1(X142) ) )
| ~ ( ! [X144] :
( ~ r1(X0,X144)
| ! [X145] :
( ~ r1(X144,X145)
| ~ ( p2(X145)
& ! [X146] :
( ~ r1(X145,X146)
| p2(X146) ) )
| p1(X145) )
| p2(X144)
| ~ ( p1(X144)
& ! [X147] :
( ~ r1(X144,X147)
| p1(X147) )
& p1(X144) ) )
& ! [X148] :
( ~ r1(X0,X148)
| ~ ( p2(X148)
& ! [X149] :
( ~ r1(X148,X149)
| p2(X149) ) )
| p1(X148)
| ! [X150] :
( ~ r1(X148,X150)
| p2(X150)
| ~ ( p1(X150)
& ! [X151] :
( ~ r1(X150,X151)
| p1(X151) )
& p1(X150) ) ) )
& ! [X152] :
( ~ r1(X0,X152)
| ~ ( p2(X152)
& ! [X153] :
( ~ r1(X152,X153)
| p2(X153) ) )
| p1(X152)
| p2(X152)
| ~ ( p1(X152)
& ! [X154] :
( ~ r1(X152,X154)
| p1(X154) )
& p1(X152) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ( p11(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p11(X2) ) )
| p10(X1) )
| ! [X3] :
( ~ r1(X0,X3)
| p11(X3)
| ~ ( p10(X3)
& ! [X4] :
( ~ r1(X3,X4)
| p10(X4) )
& p10(X3) ) )
| ~ ( ! [X5] :
( ~ r1(X0,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ~ ( p11(X6)
& ! [X7] :
( ~ r1(X6,X7)
| p11(X7) ) )
| p10(X6) )
| p11(X5)
| ~ ( p10(X5)
& ! [X8] :
( ~ r1(X5,X8)
| p10(X8) )
& p10(X5) ) )
& ! [X9] :
( ~ r1(X0,X9)
| ~ ( p11(X9)
& ! [X10] :
( ~ r1(X9,X10)
| p11(X10) ) )
| p10(X9)
| ! [X11] :
( ~ r1(X9,X11)
| p11(X11)
| ~ ( p10(X11)
& ! [X12] :
( ~ r1(X11,X12)
| p10(X12) )
& p10(X11) ) ) )
& ! [X13] :
( ~ r1(X0,X13)
| ~ ( p11(X13)
& ! [X14] :
( ~ r1(X13,X14)
| p11(X14) ) )
| p10(X13)
| p11(X13)
| ~ ( p10(X13)
& ! [X15] :
( ~ r1(X13,X15)
| p10(X15) )
& p10(X13) ) ) ) )
| ~ ( ! [X16] :
( ~ r1(X0,X16)
| ~ ( p10(X16)
& ! [X17] :
( ~ r1(X16,X17)
| p10(X17) ) )
| p9(X16) )
| ! [X18] :
( ~ r1(X0,X18)
| p10(X18)
| ~ ( p9(X18)
& ! [X19] :
( ~ r1(X18,X19)
| p9(X19) )
& p9(X18) ) )
| ~ ( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ~ ( p10(X21)
& ! [X22] :
( ~ r1(X21,X22)
| p10(X22) ) )
| p9(X21) )
| p10(X20)
| ~ ( p9(X20)
& ! [X23] :
( ~ r1(X20,X23)
| p9(X23) )
& p9(X20) ) )
& ! [X24] :
( ~ r1(X0,X24)
| ~ ( p10(X24)
& ! [X25] :
( ~ r1(X24,X25)
| p10(X25) ) )
| p9(X24)
| ! [X26] :
( ~ r1(X24,X26)
| p10(X26)
| ~ ( p9(X26)
& ! [X27] :
( ~ r1(X26,X27)
| p9(X27) )
& p9(X26) ) ) )
& ! [X28] :
( ~ r1(X0,X28)
| ~ ( p10(X28)
& ! [X29] :
( ~ r1(X28,X29)
| p10(X29) ) )
| p9(X28)
| p10(X28)
| ~ ( p9(X28)
& ! [X30] :
( ~ r1(X28,X30)
| p9(X30) )
& p9(X28) ) ) ) )
| ~ ( ! [X31] :
( ~ r1(X0,X31)
| ~ ( p9(X31)
& ! [X32] :
( ~ r1(X31,X32)
| p9(X32) ) )
| p8(X31) )
| ! [X33] :
( ~ r1(X0,X33)
| p9(X33)
| ~ ( p8(X33)
& ! [X34] :
( ~ r1(X33,X34)
| p8(X34) )
& p8(X33) ) )
| ~ ( ! [X35] :
( ~ r1(X0,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ~ ( p9(X36)
& ! [X37] :
( ~ r1(X36,X37)
| p9(X37) ) )
| p8(X36) )
| p9(X35)
| ~ ( p8(X35)
& ! [X38] :
( ~ r1(X35,X38)
| p8(X38) )
& p8(X35) ) )
& ! [X39] :
( ~ r1(X0,X39)
| ~ ( p9(X39)
& ! [X40] :
( ~ r1(X39,X40)
| p9(X40) ) )
| p8(X39)
| ! [X41] :
( ~ r1(X39,X41)
| p9(X41)
| ~ ( p8(X41)
& ! [X42] :
( ~ r1(X41,X42)
| p8(X42) )
& p8(X41) ) ) )
& ! [X43] :
( ~ r1(X0,X43)
| ~ ( p9(X43)
& ! [X44] :
( ~ r1(X43,X44)
| p9(X44) ) )
| p8(X43)
| p9(X43)
| ~ ( p8(X43)
& ! [X45] :
( ~ r1(X43,X45)
| p8(X45) )
& p8(X43) ) ) ) )
| ~ ( ! [X46] :
( ~ r1(X0,X46)
| ~ ( p8(X46)
& ! [X47] :
( ~ r1(X46,X47)
| p8(X47) ) )
| p7(X46) )
| ! [X48] :
( ~ r1(X0,X48)
| p8(X48)
| ~ ( p7(X48)
& ! [X49] :
( ~ r1(X48,X49)
| p7(X49) )
& p7(X48) ) )
| ~ ( ! [X50] :
( ~ r1(X0,X50)
| ! [X51] :
( ~ r1(X50,X51)
| ~ ( p8(X51)
& ! [X52] :
( ~ r1(X51,X52)
| p8(X52) ) )
| p7(X51) )
| p8(X50)
| ~ ( p7(X50)
& ! [X53] :
( ~ r1(X50,X53)
| p7(X53) )
& p7(X50) ) )
& ! [X54] :
( ~ r1(X0,X54)
| ~ ( p8(X54)
& ! [X55] :
( ~ r1(X54,X55)
| p8(X55) ) )
| p7(X54)
| ! [X56] :
( ~ r1(X54,X56)
| p8(X56)
| ~ ( p7(X56)
& ! [X57] :
( ~ r1(X56,X57)
| p7(X57) )
& p7(X56) ) ) )
& ! [X58] :
( ~ r1(X0,X58)
| ~ ( p8(X58)
& ! [X59] :
( ~ r1(X58,X59)
| p8(X59) ) )
| p7(X58)
| p8(X58)
| ~ ( p7(X58)
& ! [X60] :
( ~ r1(X58,X60)
| p7(X60) )
& p7(X58) ) ) ) )
| ~ ( ! [X61] :
( ~ r1(X0,X61)
| ~ ( p7(X61)
& ! [X62] :
( ~ r1(X61,X62)
| p7(X62) ) )
| p6(X61) )
| ! [X63] :
( ~ r1(X0,X63)
| p7(X63)
| ~ ( p6(X63)
& ! [X64] :
( ~ r1(X63,X64)
| p6(X64) )
& p6(X63) ) )
| ~ ( ! [X65] :
( ~ r1(X0,X65)
| ! [X66] :
( ~ r1(X65,X66)
| ~ ( p7(X66)
& ! [X67] :
( ~ r1(X66,X67)
| p7(X67) ) )
| p6(X66) )
| p7(X65)
| ~ ( p6(X65)
& ! [X68] :
( ~ r1(X65,X68)
| p6(X68) )
& p6(X65) ) )
& ! [X69] :
( ~ r1(X0,X69)
| ~ ( p7(X69)
& ! [X70] :
( ~ r1(X69,X70)
| p7(X70) ) )
| p6(X69)
| ! [X71] :
( ~ r1(X69,X71)
| p7(X71)
| ~ ( p6(X71)
& ! [X72] :
( ~ r1(X71,X72)
| p6(X72) )
& p6(X71) ) ) )
& ! [X73] :
( ~ r1(X0,X73)
| ~ ( p7(X73)
& ! [X74] :
( ~ r1(X73,X74)
| p7(X74) ) )
| p6(X73)
| p7(X73)
| ~ ( p6(X73)
& ! [X75] :
( ~ r1(X73,X75)
| p6(X75) )
& p6(X73) ) ) ) )
| ~ ( ! [X76] :
( ~ r1(X0,X76)
| ~ ( p6(X76)
& ! [X77] :
( ~ r1(X76,X77)
| p6(X77) ) )
| p5(X76) )
| ! [X78] :
( ~ r1(X0,X78)
| p6(X78)
| ~ ( p5(X78)
& ! [X79] :
( ~ r1(X78,X79)
| p5(X79) )
& p5(X78) ) )
| ~ ( ! [X80] :
( ~ r1(X0,X80)
| ! [X81] :
( ~ r1(X80,X81)
| ~ ( p6(X81)
& ! [X82] :
( ~ r1(X81,X82)
| p6(X82) ) )
| p5(X81) )
| p6(X80)
| ~ ( p5(X80)
& ! [X83] :
( ~ r1(X80,X83)
| p5(X83) )
& p5(X80) ) )
& ! [X84] :
( ~ r1(X0,X84)
| ~ ( p6(X84)
& ! [X85] :
( ~ r1(X84,X85)
| p6(X85) ) )
| p5(X84)
| ! [X86] :
( ~ r1(X84,X86)
| p6(X86)
| ~ ( p5(X86)
& ! [X87] :
( ~ r1(X86,X87)
| p5(X87) )
& p5(X86) ) ) )
& ! [X88] :
( ~ r1(X0,X88)
| ~ ( p6(X88)
& ! [X89] :
( ~ r1(X88,X89)
| p6(X89) ) )
| p5(X88)
| p6(X88)
| ~ ( p5(X88)
& ! [X90] :
( ~ r1(X88,X90)
| p5(X90) )
& p5(X88) ) ) ) )
| ~ ( ! [X91] :
( ~ r1(X0,X91)
| ~ ( p5(X91)
& ! [X92] :
( ~ r1(X91,X92)
| p5(X92) ) )
| p4(X91) )
| ! [X93] :
( ~ r1(X0,X93)
| p5(X93)
| ~ ( p4(X93)
& ! [X94] :
( ~ r1(X93,X94)
| p4(X94) )
& p4(X93) ) )
| ~ ( ! [X95] :
( ~ r1(X0,X95)
| ! [X96] :
( ~ r1(X95,X96)
| ~ ( p5(X96)
& ! [X97] :
( ~ r1(X96,X97)
| p5(X97) ) )
| p4(X96) )
| p5(X95)
| ~ ( p4(X95)
& ! [X98] :
( ~ r1(X95,X98)
| p4(X98) )
& p4(X95) ) )
& ! [X99] :
( ~ r1(X0,X99)
| ~ ( p5(X99)
& ! [X100] :
( ~ r1(X99,X100)
| p5(X100) ) )
| p4(X99)
| ! [X101] :
( ~ r1(X99,X101)
| p5(X101)
| ~ ( p4(X101)
& ! [X102] :
( ~ r1(X101,X102)
| p4(X102) )
& p4(X101) ) ) )
& ! [X103] :
( ~ r1(X0,X103)
| ~ ( p5(X103)
& ! [X104] :
( ~ r1(X103,X104)
| p5(X104) ) )
| p4(X103)
| p5(X103)
| ~ ( p4(X103)
& ! [X105] :
( ~ r1(X103,X105)
| p4(X105) )
& p4(X103) ) ) ) )
| ! [X106] :
( ~ r1(X0,X106)
| p10(X106)
| ~ ( ! [X107] :
( ~ r1(X106,X107)
| p10(X107) )
& p10(X106) ) )
| ! [X108] :
( ~ r1(X0,X108)
| p10(X108)
| ~ ( ! [X109] :
( ~ r1(X108,X109)
| p10(X109) )
& p10(X108) ) )
| ~ ( ! [X110] :
( ~ r1(X0,X110)
| ~ ( p4(X110)
& ! [X111] :
( ~ r1(X110,X111)
| p4(X111) ) )
| p3(X110) )
| ! [X112] :
( ~ r1(X0,X112)
| p4(X112)
| ~ ( p3(X112)
& ! [X113] :
( ~ r1(X112,X113)
| p3(X113) )
& p3(X112) ) )
| ~ ( ! [X114] :
( ~ r1(X0,X114)
| ! [X115] :
( ~ r1(X114,X115)
| ~ ( p4(X115)
& ! [X116] :
( ~ r1(X115,X116)
| p4(X116) ) )
| p3(X115) )
| p4(X114)
| ~ ( p3(X114)
& ! [X117] :
( ~ r1(X114,X117)
| p3(X117) )
& p3(X114) ) )
& ! [X118] :
( ~ r1(X0,X118)
| ~ ( p4(X118)
& ! [X119] :
( ~ r1(X118,X119)
| p4(X119) ) )
| p3(X118)
| ! [X120] :
( ~ r1(X118,X120)
| p4(X120)
| ~ ( p3(X120)
& ! [X121] :
( ~ r1(X120,X121)
| p3(X121) )
& p3(X120) ) ) )
& ! [X122] :
( ~ r1(X0,X122)
| ~ ( p4(X122)
& ! [X123] :
( ~ r1(X122,X123)
| p4(X123) ) )
| p3(X122)
| p4(X122)
| ~ ( p3(X122)
& ! [X124] :
( ~ r1(X122,X124)
| p3(X124) )
& p3(X122) ) ) ) )
| ~ ( ! [X125] :
( ~ r1(X0,X125)
| ~ ( p3(X125)
& ! [X126] :
( ~ r1(X125,X126)
| p3(X126) ) )
| p2(X125) )
| ! [X127] :
( ~ r1(X0,X127)
| p3(X127)
| ~ ( p2(X127)
& ! [X128] :
( ~ r1(X127,X128)
| p2(X128) )
& p2(X127) ) )
| ~ ( ! [X129] :
( ~ r1(X0,X129)
| ! [X130] :
( ~ r1(X129,X130)
| ~ ( p3(X130)
& ! [X131] :
( ~ r1(X130,X131)
| p3(X131) ) )
| p2(X130) )
| p3(X129)
| ~ ( p2(X129)
& ! [X132] :
( ~ r1(X129,X132)
| p2(X132) )
& p2(X129) ) )
& ! [X133] :
( ~ r1(X0,X133)
| ~ ( p3(X133)
& ! [X134] :
( ~ r1(X133,X134)
| p3(X134) ) )
| p2(X133)
| ! [X135] :
( ~ r1(X133,X135)
| p3(X135)
| ~ ( p2(X135)
& ! [X136] :
( ~ r1(X135,X136)
| p2(X136) )
& p2(X135) ) ) )
& ! [X137] :
( ~ r1(X0,X137)
| ~ ( p3(X137)
& ! [X138] :
( ~ r1(X137,X138)
| p3(X138) ) )
| p2(X137)
| p3(X137)
| ~ ( p2(X137)
& ! [X139] :
( ~ r1(X137,X139)
| p2(X139) )
& p2(X137) ) ) ) )
| ~ ( ! [X140] :
( ~ r1(X0,X140)
| ~ ( p2(X140)
& ! [X141] :
( ~ r1(X140,X141)
| p2(X141) ) )
| p1(X140) )
| ! [X142] :
( ~ r1(X0,X142)
| p2(X142)
| ~ ( p1(X142)
& ! [X143] :
( ~ r1(X142,X143)
| p1(X143) )
& p1(X142) ) )
| ~ ( ! [X144] :
( ~ r1(X0,X144)
| ! [X145] :
( ~ r1(X144,X145)
| ~ ( p2(X145)
& ! [X146] :
( ~ r1(X145,X146)
| p2(X146) ) )
| p1(X145) )
| p2(X144)
| ~ ( p1(X144)
& ! [X147] :
( ~ r1(X144,X147)
| p1(X147) )
& p1(X144) ) )
& ! [X148] :
( ~ r1(X0,X148)
| ~ ( p2(X148)
& ! [X149] :
( ~ r1(X148,X149)
| p2(X149) ) )
| p1(X148)
| ! [X150] :
( ~ r1(X148,X150)
| p2(X150)
| ~ ( p1(X150)
& ! [X151] :
( ~ r1(X150,X151)
| p1(X151) )
& p1(X150) ) ) )
& ! [X152] :
( ~ r1(X0,X152)
| ~ ( p2(X152)
& ! [X153] :
( ~ r1(X152,X153)
| p2(X153) ) )
| p1(X152)
| p2(X152)
| ~ ( p1(X152)
& ! [X154] :
( ~ r1(X152,X154)
| p1(X154) )
& p1(X152) ) ) ) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p11(X1)
| ? [X2] :
( r1(X1,X2)
& ~ p11(X2) )
| p10(X1) )
| ! [X3] :
( ~ r1(X0,X3)
| p11(X3)
| ~ p10(X3)
| ? [X4] :
( r1(X3,X4)
& ~ p10(X4) )
| ~ p10(X3) )
| ? [X5] :
( r1(X0,X5)
& ? [X6] :
( r1(X5,X6)
& p11(X6)
& ! [X7] :
( ~ r1(X6,X7)
| p11(X7) )
& ~ p10(X6) )
& ~ p11(X5)
& p10(X5)
& ! [X8] :
( ~ r1(X5,X8)
| p10(X8) )
& p10(X5) )
| ? [X9] :
( r1(X0,X9)
& p11(X9)
& ! [X10] :
( ~ r1(X9,X10)
| p11(X10) )
& ~ p10(X9)
& ? [X11] :
( r1(X9,X11)
& ~ p11(X11)
& p10(X11)
& ! [X12] :
( ~ r1(X11,X12)
| p10(X12) )
& p10(X11) ) )
| ? [X13] :
( r1(X0,X13)
& p11(X13)
& ! [X14] :
( ~ r1(X13,X14)
| p11(X14) )
& ~ p10(X13)
& ~ p11(X13)
& p10(X13)
& ! [X15] :
( ~ r1(X13,X15)
| p10(X15) )
& p10(X13) ) )
& ( ! [X16] :
( ~ r1(X0,X16)
| ~ p10(X16)
| ? [X17] :
( r1(X16,X17)
& ~ p10(X17) )
| p9(X16) )
| ! [X18] :
( ~ r1(X0,X18)
| p10(X18)
| ~ p9(X18)
| ? [X19] :
( r1(X18,X19)
& ~ p9(X19) )
| ~ p9(X18) )
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& p10(X21)
& ! [X22] :
( ~ r1(X21,X22)
| p10(X22) )
& ~ p9(X21) )
& ~ p10(X20)
& p9(X20)
& ! [X23] :
( ~ r1(X20,X23)
| p9(X23) )
& p9(X20) )
| ? [X24] :
( r1(X0,X24)
& p10(X24)
& ! [X25] :
( ~ r1(X24,X25)
| p10(X25) )
& ~ p9(X24)
& ? [X26] :
( r1(X24,X26)
& ~ p10(X26)
& p9(X26)
& ! [X27] :
( ~ r1(X26,X27)
| p9(X27) )
& p9(X26) ) )
| ? [X28] :
( r1(X0,X28)
& p10(X28)
& ! [X29] :
( ~ r1(X28,X29)
| p10(X29) )
& ~ p9(X28)
& ~ p10(X28)
& p9(X28)
& ! [X30] :
( ~ r1(X28,X30)
| p9(X30) )
& p9(X28) ) )
& ( ! [X31] :
( ~ r1(X0,X31)
| ~ p9(X31)
| ? [X32] :
( r1(X31,X32)
& ~ p9(X32) )
| p8(X31) )
| ! [X33] :
( ~ r1(X0,X33)
| p9(X33)
| ~ p8(X33)
| ? [X34] :
( r1(X33,X34)
& ~ p8(X34) )
| ~ p8(X33) )
| ? [X35] :
( r1(X0,X35)
& ? [X36] :
( r1(X35,X36)
& p9(X36)
& ! [X37] :
( ~ r1(X36,X37)
| p9(X37) )
& ~ p8(X36) )
& ~ p9(X35)
& p8(X35)
& ! [X38] :
( ~ r1(X35,X38)
| p8(X38) )
& p8(X35) )
| ? [X39] :
( r1(X0,X39)
& p9(X39)
& ! [X40] :
( ~ r1(X39,X40)
| p9(X40) )
& ~ p8(X39)
& ? [X41] :
( r1(X39,X41)
& ~ p9(X41)
& p8(X41)
& ! [X42] :
( ~ r1(X41,X42)
| p8(X42) )
& p8(X41) ) )
| ? [X43] :
( r1(X0,X43)
& p9(X43)
& ! [X44] :
( ~ r1(X43,X44)
| p9(X44) )
& ~ p8(X43)
& ~ p9(X43)
& p8(X43)
& ! [X45] :
( ~ r1(X43,X45)
| p8(X45) )
& p8(X43) ) )
& ( ! [X46] :
( ~ r1(X0,X46)
| ~ p8(X46)
| ? [X47] :
( r1(X46,X47)
& ~ p8(X47) )
| p7(X46) )
| ! [X48] :
( ~ r1(X0,X48)
| p8(X48)
| ~ p7(X48)
| ? [X49] :
( r1(X48,X49)
& ~ p7(X49) )
| ~ p7(X48) )
| ? [X50] :
( r1(X0,X50)
& ? [X51] :
( r1(X50,X51)
& p8(X51)
& ! [X52] :
( ~ r1(X51,X52)
| p8(X52) )
& ~ p7(X51) )
& ~ p8(X50)
& p7(X50)
& ! [X53] :
( ~ r1(X50,X53)
| p7(X53) )
& p7(X50) )
| ? [X54] :
( r1(X0,X54)
& p8(X54)
& ! [X55] :
( ~ r1(X54,X55)
| p8(X55) )
& ~ p7(X54)
& ? [X56] :
( r1(X54,X56)
& ~ p8(X56)
& p7(X56)
& ! [X57] :
( ~ r1(X56,X57)
| p7(X57) )
& p7(X56) ) )
| ? [X58] :
( r1(X0,X58)
& p8(X58)
& ! [X59] :
( ~ r1(X58,X59)
| p8(X59) )
& ~ p7(X58)
& ~ p8(X58)
& p7(X58)
& ! [X60] :
( ~ r1(X58,X60)
| p7(X60) )
& p7(X58) ) )
& ( ! [X61] :
( ~ r1(X0,X61)
| ~ p7(X61)
| ? [X62] :
( r1(X61,X62)
& ~ p7(X62) )
| p6(X61) )
| ! [X63] :
( ~ r1(X0,X63)
| p7(X63)
| ~ p6(X63)
| ? [X64] :
( r1(X63,X64)
& ~ p6(X64) )
| ~ p6(X63) )
| ? [X65] :
( r1(X0,X65)
& ? [X66] :
( r1(X65,X66)
& p7(X66)
& ! [X67] :
( ~ r1(X66,X67)
| p7(X67) )
& ~ p6(X66) )
& ~ p7(X65)
& p6(X65)
& ! [X68] :
( ~ r1(X65,X68)
| p6(X68) )
& p6(X65) )
| ? [X69] :
( r1(X0,X69)
& p7(X69)
& ! [X70] :
( ~ r1(X69,X70)
| p7(X70) )
& ~ p6(X69)
& ? [X71] :
( r1(X69,X71)
& ~ p7(X71)
& p6(X71)
& ! [X72] :
( ~ r1(X71,X72)
| p6(X72) )
& p6(X71) ) )
| ? [X73] :
( r1(X0,X73)
& p7(X73)
& ! [X74] :
( ~ r1(X73,X74)
| p7(X74) )
& ~ p6(X73)
& ~ p7(X73)
& p6(X73)
& ! [X75] :
( ~ r1(X73,X75)
| p6(X75) )
& p6(X73) ) )
& ( ! [X76] :
( ~ r1(X0,X76)
| ~ p6(X76)
| ? [X77] :
( r1(X76,X77)
& ~ p6(X77) )
| p5(X76) )
| ! [X78] :
( ~ r1(X0,X78)
| p6(X78)
| ~ p5(X78)
| ? [X79] :
( r1(X78,X79)
& ~ p5(X79) )
| ~ p5(X78) )
| ? [X80] :
( r1(X0,X80)
& ? [X81] :
( r1(X80,X81)
& p6(X81)
& ! [X82] :
( ~ r1(X81,X82)
| p6(X82) )
& ~ p5(X81) )
& ~ p6(X80)
& p5(X80)
& ! [X83] :
( ~ r1(X80,X83)
| p5(X83) )
& p5(X80) )
| ? [X84] :
( r1(X0,X84)
& p6(X84)
& ! [X85] :
( ~ r1(X84,X85)
| p6(X85) )
& ~ p5(X84)
& ? [X86] :
( r1(X84,X86)
& ~ p6(X86)
& p5(X86)
& ! [X87] :
( ~ r1(X86,X87)
| p5(X87) )
& p5(X86) ) )
| ? [X88] :
( r1(X0,X88)
& p6(X88)
& ! [X89] :
( ~ r1(X88,X89)
| p6(X89) )
& ~ p5(X88)
& ~ p6(X88)
& p5(X88)
& ! [X90] :
( ~ r1(X88,X90)
| p5(X90) )
& p5(X88) ) )
& ( ! [X91] :
( ~ r1(X0,X91)
| ~ p5(X91)
| ? [X92] :
( r1(X91,X92)
& ~ p5(X92) )
| p4(X91) )
| ! [X93] :
( ~ r1(X0,X93)
| p5(X93)
| ~ p4(X93)
| ? [X94] :
( r1(X93,X94)
& ~ p4(X94) )
| ~ p4(X93) )
| ? [X95] :
( r1(X0,X95)
& ? [X96] :
( r1(X95,X96)
& p5(X96)
& ! [X97] :
( ~ r1(X96,X97)
| p5(X97) )
& ~ p4(X96) )
& ~ p5(X95)
& p4(X95)
& ! [X98] :
( ~ r1(X95,X98)
| p4(X98) )
& p4(X95) )
| ? [X99] :
( r1(X0,X99)
& p5(X99)
& ! [X100] :
( ~ r1(X99,X100)
| p5(X100) )
& ~ p4(X99)
& ? [X101] :
( r1(X99,X101)
& ~ p5(X101)
& p4(X101)
& ! [X102] :
( ~ r1(X101,X102)
| p4(X102) )
& p4(X101) ) )
| ? [X103] :
( r1(X0,X103)
& p5(X103)
& ! [X104] :
( ~ r1(X103,X104)
| p5(X104) )
& ~ p4(X103)
& ~ p5(X103)
& p4(X103)
& ! [X105] :
( ~ r1(X103,X105)
| p4(X105) )
& p4(X103) ) )
& ? [X106] :
( r1(X0,X106)
& ~ p10(X106)
& ! [X107] :
( ~ r1(X106,X107)
| p10(X107) )
& p10(X106) )
& ? [X108] :
( r1(X0,X108)
& ~ p10(X108)
& ! [X109] :
( ~ r1(X108,X109)
| p10(X109) )
& p10(X108) )
& ( ! [X110] :
( ~ r1(X0,X110)
| ~ p4(X110)
| ? [X111] :
( r1(X110,X111)
& ~ p4(X111) )
| p3(X110) )
| ! [X112] :
( ~ r1(X0,X112)
| p4(X112)
| ~ p3(X112)
| ? [X113] :
( r1(X112,X113)
& ~ p3(X113) )
| ~ p3(X112) )
| ? [X114] :
( r1(X0,X114)
& ? [X115] :
( r1(X114,X115)
& p4(X115)
& ! [X116] :
( ~ r1(X115,X116)
| p4(X116) )
& ~ p3(X115) )
& ~ p4(X114)
& p3(X114)
& ! [X117] :
( ~ r1(X114,X117)
| p3(X117) )
& p3(X114) )
| ? [X118] :
( r1(X0,X118)
& p4(X118)
& ! [X119] :
( ~ r1(X118,X119)
| p4(X119) )
& ~ p3(X118)
& ? [X120] :
( r1(X118,X120)
& ~ p4(X120)
& p3(X120)
& ! [X121] :
( ~ r1(X120,X121)
| p3(X121) )
& p3(X120) ) )
| ? [X122] :
( r1(X0,X122)
& p4(X122)
& ! [X123] :
( ~ r1(X122,X123)
| p4(X123) )
& ~ p3(X122)
& ~ p4(X122)
& p3(X122)
& ! [X124] :
( ~ r1(X122,X124)
| p3(X124) )
& p3(X122) ) )
& ( ! [X125] :
( ~ r1(X0,X125)
| ~ p3(X125)
| ? [X126] :
( r1(X125,X126)
& ~ p3(X126) )
| p2(X125) )
| ! [X127] :
( ~ r1(X0,X127)
| p3(X127)
| ~ p2(X127)
| ? [X128] :
( r1(X127,X128)
& ~ p2(X128) )
| ~ p2(X127) )
| ? [X129] :
( r1(X0,X129)
& ? [X130] :
( r1(X129,X130)
& p3(X130)
& ! [X131] :
( ~ r1(X130,X131)
| p3(X131) )
& ~ p2(X130) )
& ~ p3(X129)
& p2(X129)
& ! [X132] :
( ~ r1(X129,X132)
| p2(X132) )
& p2(X129) )
| ? [X133] :
( r1(X0,X133)
& p3(X133)
& ! [X134] :
( ~ r1(X133,X134)
| p3(X134) )
& ~ p2(X133)
& ? [X135] :
( r1(X133,X135)
& ~ p3(X135)
& p2(X135)
& ! [X136] :
( ~ r1(X135,X136)
| p2(X136) )
& p2(X135) ) )
| ? [X137] :
( r1(X0,X137)
& p3(X137)
& ! [X138] :
( ~ r1(X137,X138)
| p3(X138) )
& ~ p2(X137)
& ~ p3(X137)
& p2(X137)
& ! [X139] :
( ~ r1(X137,X139)
| p2(X139) )
& p2(X137) ) )
& ( ! [X140] :
( ~ r1(X0,X140)
| ~ p2(X140)
| ? [X141] :
( r1(X140,X141)
& ~ p2(X141) )
| p1(X140) )
| ! [X142] :
( ~ r1(X0,X142)
| p2(X142)
| ~ p1(X142)
| ? [X143] :
( r1(X142,X143)
& ~ p1(X143) )
| ~ p1(X142) )
| ? [X144] :
( r1(X0,X144)
& ? [X145] :
( r1(X144,X145)
& p2(X145)
& ! [X146] :
( ~ r1(X145,X146)
| p2(X146) )
& ~ p1(X145) )
& ~ p2(X144)
& p1(X144)
& ! [X147] :
( ~ r1(X144,X147)
| p1(X147) )
& p1(X144) )
| ? [X148] :
( r1(X0,X148)
& p2(X148)
& ! [X149] :
( ~ r1(X148,X149)
| p2(X149) )
& ~ p1(X148)
& ? [X150] :
( r1(X148,X150)
& ~ p2(X150)
& p1(X150)
& ! [X151] :
( ~ r1(X150,X151)
| p1(X151) )
& p1(X150) ) )
| ? [X152] :
( r1(X0,X152)
& p2(X152)
& ! [X153] :
( ~ r1(X152,X153)
| p2(X153) )
& ~ p1(X152)
& ~ p2(X152)
& p1(X152)
& ! [X154] :
( ~ r1(X152,X154)
| p1(X154) )
& p1(X152) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p11(X1)
| ? [X2] :
( r1(X1,X2)
& ~ p11(X2) )
| p10(X1) )
| ! [X3] :
( ~ r1(X0,X3)
| p11(X3)
| ~ p10(X3)
| ? [X4] :
( r1(X3,X4)
& ~ p10(X4) )
| ~ p10(X3) )
| ? [X5] :
( r1(X0,X5)
& ? [X6] :
( r1(X5,X6)
& p11(X6)
& ! [X7] :
( ~ r1(X6,X7)
| p11(X7) )
& ~ p10(X6) )
& ~ p11(X5)
& p10(X5)
& ! [X8] :
( ~ r1(X5,X8)
| p10(X8) )
& p10(X5) )
| ? [X9] :
( r1(X0,X9)
& p11(X9)
& ! [X10] :
( ~ r1(X9,X10)
| p11(X10) )
& ~ p10(X9)
& ? [X11] :
( r1(X9,X11)
& ~ p11(X11)
& p10(X11)
& ! [X12] :
( ~ r1(X11,X12)
| p10(X12) )
& p10(X11) ) )
| ? [X13] :
( r1(X0,X13)
& p11(X13)
& ! [X14] :
( ~ r1(X13,X14)
| p11(X14) )
& ~ p10(X13)
& ~ p11(X13)
& p10(X13)
& ! [X15] :
( ~ r1(X13,X15)
| p10(X15) )
& p10(X13) ) )
& ( ! [X16] :
( ~ r1(X0,X16)
| ~ p10(X16)
| ? [X17] :
( r1(X16,X17)
& ~ p10(X17) )
| p9(X16) )
| ! [X18] :
( ~ r1(X0,X18)
| p10(X18)
| ~ p9(X18)
| ? [X19] :
( r1(X18,X19)
& ~ p9(X19) )
| ~ p9(X18) )
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& p10(X21)
& ! [X22] :
( ~ r1(X21,X22)
| p10(X22) )
& ~ p9(X21) )
& ~ p10(X20)
& p9(X20)
& ! [X23] :
( ~ r1(X20,X23)
| p9(X23) )
& p9(X20) )
| ? [X24] :
( r1(X0,X24)
& p10(X24)
& ! [X25] :
( ~ r1(X24,X25)
| p10(X25) )
& ~ p9(X24)
& ? [X26] :
( r1(X24,X26)
& ~ p10(X26)
& p9(X26)
& ! [X27] :
( ~ r1(X26,X27)
| p9(X27) )
& p9(X26) ) )
| ? [X28] :
( r1(X0,X28)
& p10(X28)
& ! [X29] :
( ~ r1(X28,X29)
| p10(X29) )
& ~ p9(X28)
& ~ p10(X28)
& p9(X28)
& ! [X30] :
( ~ r1(X28,X30)
| p9(X30) )
& p9(X28) ) )
& ( ! [X31] :
( ~ r1(X0,X31)
| ~ p9(X31)
| ? [X32] :
( r1(X31,X32)
& ~ p9(X32) )
| p8(X31) )
| ! [X33] :
( ~ r1(X0,X33)
| p9(X33)
| ~ p8(X33)
| ? [X34] :
( r1(X33,X34)
& ~ p8(X34) )
| ~ p8(X33) )
| ? [X35] :
( r1(X0,X35)
& ? [X36] :
( r1(X35,X36)
& p9(X36)
& ! [X37] :
( ~ r1(X36,X37)
| p9(X37) )
& ~ p8(X36) )
& ~ p9(X35)
& p8(X35)
& ! [X38] :
( ~ r1(X35,X38)
| p8(X38) )
& p8(X35) )
| ? [X39] :
( r1(X0,X39)
& p9(X39)
& ! [X40] :
( ~ r1(X39,X40)
| p9(X40) )
& ~ p8(X39)
& ? [X41] :
( r1(X39,X41)
& ~ p9(X41)
& p8(X41)
& ! [X42] :
( ~ r1(X41,X42)
| p8(X42) )
& p8(X41) ) )
| ? [X43] :
( r1(X0,X43)
& p9(X43)
& ! [X44] :
( ~ r1(X43,X44)
| p9(X44) )
& ~ p8(X43)
& ~ p9(X43)
& p8(X43)
& ! [X45] :
( ~ r1(X43,X45)
| p8(X45) )
& p8(X43) ) )
& ( ! [X46] :
( ~ r1(X0,X46)
| ~ p8(X46)
| ? [X47] :
( r1(X46,X47)
& ~ p8(X47) )
| p7(X46) )
| ! [X48] :
( ~ r1(X0,X48)
| p8(X48)
| ~ p7(X48)
| ? [X49] :
( r1(X48,X49)
& ~ p7(X49) )
| ~ p7(X48) )
| ? [X50] :
( r1(X0,X50)
& ? [X51] :
( r1(X50,X51)
& p8(X51)
& ! [X52] :
( ~ r1(X51,X52)
| p8(X52) )
& ~ p7(X51) )
& ~ p8(X50)
& p7(X50)
& ! [X53] :
( ~ r1(X50,X53)
| p7(X53) )
& p7(X50) )
| ? [X54] :
( r1(X0,X54)
& p8(X54)
& ! [X55] :
( ~ r1(X54,X55)
| p8(X55) )
& ~ p7(X54)
& ? [X56] :
( r1(X54,X56)
& ~ p8(X56)
& p7(X56)
& ! [X57] :
( ~ r1(X56,X57)
| p7(X57) )
& p7(X56) ) )
| ? [X58] :
( r1(X0,X58)
& p8(X58)
& ! [X59] :
( ~ r1(X58,X59)
| p8(X59) )
& ~ p7(X58)
& ~ p8(X58)
& p7(X58)
& ! [X60] :
( ~ r1(X58,X60)
| p7(X60) )
& p7(X58) ) )
& ( ! [X61] :
( ~ r1(X0,X61)
| ~ p7(X61)
| ? [X62] :
( r1(X61,X62)
& ~ p7(X62) )
| p6(X61) )
| ! [X63] :
( ~ r1(X0,X63)
| p7(X63)
| ~ p6(X63)
| ? [X64] :
( r1(X63,X64)
& ~ p6(X64) )
| ~ p6(X63) )
| ? [X65] :
( r1(X0,X65)
& ? [X66] :
( r1(X65,X66)
& p7(X66)
& ! [X67] :
( ~ r1(X66,X67)
| p7(X67) )
& ~ p6(X66) )
& ~ p7(X65)
& p6(X65)
& ! [X68] :
( ~ r1(X65,X68)
| p6(X68) )
& p6(X65) )
| ? [X69] :
( r1(X0,X69)
& p7(X69)
& ! [X70] :
( ~ r1(X69,X70)
| p7(X70) )
& ~ p6(X69)
& ? [X71] :
( r1(X69,X71)
& ~ p7(X71)
& p6(X71)
& ! [X72] :
( ~ r1(X71,X72)
| p6(X72) )
& p6(X71) ) )
| ? [X73] :
( r1(X0,X73)
& p7(X73)
& ! [X74] :
( ~ r1(X73,X74)
| p7(X74) )
& ~ p6(X73)
& ~ p7(X73)
& p6(X73)
& ! [X75] :
( ~ r1(X73,X75)
| p6(X75) )
& p6(X73) ) )
& ( ! [X76] :
( ~ r1(X0,X76)
| ~ p6(X76)
| ? [X77] :
( r1(X76,X77)
& ~ p6(X77) )
| p5(X76) )
| ! [X78] :
( ~ r1(X0,X78)
| p6(X78)
| ~ p5(X78)
| ? [X79] :
( r1(X78,X79)
& ~ p5(X79) )
| ~ p5(X78) )
| ? [X80] :
( r1(X0,X80)
& ? [X81] :
( r1(X80,X81)
& p6(X81)
& ! [X82] :
( ~ r1(X81,X82)
| p6(X82) )
& ~ p5(X81) )
& ~ p6(X80)
& p5(X80)
& ! [X83] :
( ~ r1(X80,X83)
| p5(X83) )
& p5(X80) )
| ? [X84] :
( r1(X0,X84)
& p6(X84)
& ! [X85] :
( ~ r1(X84,X85)
| p6(X85) )
& ~ p5(X84)
& ? [X86] :
( r1(X84,X86)
& ~ p6(X86)
& p5(X86)
& ! [X87] :
( ~ r1(X86,X87)
| p5(X87) )
& p5(X86) ) )
| ? [X88] :
( r1(X0,X88)
& p6(X88)
& ! [X89] :
( ~ r1(X88,X89)
| p6(X89) )
& ~ p5(X88)
& ~ p6(X88)
& p5(X88)
& ! [X90] :
( ~ r1(X88,X90)
| p5(X90) )
& p5(X88) ) )
& ( ! [X91] :
( ~ r1(X0,X91)
| ~ p5(X91)
| ? [X92] :
( r1(X91,X92)
& ~ p5(X92) )
| p4(X91) )
| ! [X93] :
( ~ r1(X0,X93)
| p5(X93)
| ~ p4(X93)
| ? [X94] :
( r1(X93,X94)
& ~ p4(X94) )
| ~ p4(X93) )
| ? [X95] :
( r1(X0,X95)
& ? [X96] :
( r1(X95,X96)
& p5(X96)
& ! [X97] :
( ~ r1(X96,X97)
| p5(X97) )
& ~ p4(X96) )
& ~ p5(X95)
& p4(X95)
& ! [X98] :
( ~ r1(X95,X98)
| p4(X98) )
& p4(X95) )
| ? [X99] :
( r1(X0,X99)
& p5(X99)
& ! [X100] :
( ~ r1(X99,X100)
| p5(X100) )
& ~ p4(X99)
& ? [X101] :
( r1(X99,X101)
& ~ p5(X101)
& p4(X101)
& ! [X102] :
( ~ r1(X101,X102)
| p4(X102) )
& p4(X101) ) )
| ? [X103] :
( r1(X0,X103)
& p5(X103)
& ! [X104] :
( ~ r1(X103,X104)
| p5(X104) )
& ~ p4(X103)
& ~ p5(X103)
& p4(X103)
& ! [X105] :
( ~ r1(X103,X105)
| p4(X105) )
& p4(X103) ) )
& ? [X106] :
( r1(X0,X106)
& ~ p10(X106)
& ! [X107] :
( ~ r1(X106,X107)
| p10(X107) )
& p10(X106) )
& ? [X108] :
( r1(X0,X108)
& ~ p10(X108)
& ! [X109] :
( ~ r1(X108,X109)
| p10(X109) )
& p10(X108) )
& ( ! [X110] :
( ~ r1(X0,X110)
| ~ p4(X110)
| ? [X111] :
( r1(X110,X111)
& ~ p4(X111) )
| p3(X110) )
| ! [X112] :
( ~ r1(X0,X112)
| p4(X112)
| ~ p3(X112)
| ? [X113] :
( r1(X112,X113)
& ~ p3(X113) )
| ~ p3(X112) )
| ? [X114] :
( r1(X0,X114)
& ? [X115] :
( r1(X114,X115)
& p4(X115)
& ! [X116] :
( ~ r1(X115,X116)
| p4(X116) )
& ~ p3(X115) )
& ~ p4(X114)
& p3(X114)
& ! [X117] :
( ~ r1(X114,X117)
| p3(X117) )
& p3(X114) )
| ? [X118] :
( r1(X0,X118)
& p4(X118)
& ! [X119] :
( ~ r1(X118,X119)
| p4(X119) )
& ~ p3(X118)
& ? [X120] :
( r1(X118,X120)
& ~ p4(X120)
& p3(X120)
& ! [X121] :
( ~ r1(X120,X121)
| p3(X121) )
& p3(X120) ) )
| ? [X122] :
( r1(X0,X122)
& p4(X122)
& ! [X123] :
( ~ r1(X122,X123)
| p4(X123) )
& ~ p3(X122)
& ~ p4(X122)
& p3(X122)
& ! [X124] :
( ~ r1(X122,X124)
| p3(X124) )
& p3(X122) ) )
& ( ! [X125] :
( ~ r1(X0,X125)
| ~ p3(X125)
| ? [X126] :
( r1(X125,X126)
& ~ p3(X126) )
| p2(X125) )
| ! [X127] :
( ~ r1(X0,X127)
| p3(X127)
| ~ p2(X127)
| ? [X128] :
( r1(X127,X128)
& ~ p2(X128) )
| ~ p2(X127) )
| ? [X129] :
( r1(X0,X129)
& ? [X130] :
( r1(X129,X130)
& p3(X130)
& ! [X131] :
( ~ r1(X130,X131)
| p3(X131) )
& ~ p2(X130) )
& ~ p3(X129)
& p2(X129)
& ! [X132] :
( ~ r1(X129,X132)
| p2(X132) )
& p2(X129) )
| ? [X133] :
( r1(X0,X133)
& p3(X133)
& ! [X134] :
( ~ r1(X133,X134)
| p3(X134) )
& ~ p2(X133)
& ? [X135] :
( r1(X133,X135)
& ~ p3(X135)
& p2(X135)
& ! [X136] :
( ~ r1(X135,X136)
| p2(X136) )
& p2(X135) ) )
| ? [X137] :
( r1(X0,X137)
& p3(X137)
& ! [X138] :
( ~ r1(X137,X138)
| p3(X138) )
& ~ p2(X137)
& ~ p3(X137)
& p2(X137)
& ! [X139] :
( ~ r1(X137,X139)
| p2(X139) )
& p2(X137) ) )
& ( ! [X140] :
( ~ r1(X0,X140)
| ~ p2(X140)
| ? [X141] :
( r1(X140,X141)
& ~ p2(X141) )
| p1(X140) )
| ! [X142] :
( ~ r1(X0,X142)
| p2(X142)
| ~ p1(X142)
| ? [X143] :
( r1(X142,X143)
& ~ p1(X143) )
| ~ p1(X142) )
| ? [X144] :
( r1(X0,X144)
& ? [X145] :
( r1(X144,X145)
& p2(X145)
& ! [X146] :
( ~ r1(X145,X146)
| p2(X146) )
& ~ p1(X145) )
& ~ p2(X144)
& p1(X144)
& ! [X147] :
( ~ r1(X144,X147)
| p1(X147) )
& p1(X144) )
| ? [X148] :
( r1(X0,X148)
& p2(X148)
& ! [X149] :
( ~ r1(X148,X149)
| p2(X149) )
& ~ p1(X148)
& ? [X150] :
( r1(X148,X150)
& ~ p2(X150)
& p1(X150)
& ! [X151] :
( ~ r1(X150,X151)
| p1(X151) )
& p1(X150) ) )
| ? [X152] :
( r1(X0,X152)
& p2(X152)
& ! [X153] :
( ~ r1(X152,X153)
| p2(X153) )
& ~ p1(X152)
& ~ p2(X152)
& p1(X152)
& ! [X154] :
( ~ r1(X152,X154)
| p1(X154) )
& p1(X152) ) ) ),
inference(flattening,[],[f5]) ).
fof(f7,definition,
! [X148] :
( ? [X150] :
( r1(X148,X150)
& ~ p2(X150)
& p1(X150)
& ! [X151] :
( ~ r1(X150,X151)
| p1(X151) )
& p1(X150) )
| ~ sP0(X148) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f8,definition,
! [X144] :
( ? [X145] :
( r1(X144,X145)
& p2(X145)
& ! [X146] :
( ~ r1(X145,X146)
| p2(X146) )
& ~ p1(X145) )
| ~ sP1(X144) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [X0] :
( ? [X152] :
( r1(X0,X152)
& p2(X152)
& ! [X153] :
( ~ r1(X152,X153)
| p2(X153) )
& ~ p1(X152)
& ~ p2(X152)
& p1(X152)
& ! [X154] :
( ~ r1(X152,X154)
| p1(X154) )
& p1(X152) )
| ~ sP2(X0) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X0] :
( ? [X144] :
( r1(X0,X144)
& sP1(X144)
& ~ p2(X144)
& p1(X144)
& ! [X147] :
( ~ r1(X144,X147)
| p1(X147) )
& p1(X144) )
| ~ sP3(X0) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X0] :
( ? [X148] :
( r1(X0,X148)
& p2(X148)
& ! [X149] :
( ~ r1(X148,X149)
| p2(X149) )
& ~ p1(X148)
& sP0(X148) )
| ~ sP4(X0) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X133] :
( ? [X135] :
( r1(X133,X135)
& ~ p3(X135)
& p2(X135)
& ! [X136] :
( ~ r1(X135,X136)
| p2(X136) )
& p2(X135) )
| ~ sP5(X133) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X129] :
( ? [X130] :
( r1(X129,X130)
& p3(X130)
& ! [X131] :
( ~ r1(X130,X131)
| p3(X131) )
& ~ p2(X130) )
| ~ sP6(X129) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X0] :
( ? [X137] :
( r1(X0,X137)
& p3(X137)
& ! [X138] :
( ~ r1(X137,X138)
| p3(X138) )
& ~ p2(X137)
& ~ p3(X137)
& p2(X137)
& ! [X139] :
( ~ r1(X137,X139)
| p2(X139) )
& p2(X137) )
| ~ sP7(X0) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X0] :
( ? [X129] :
( r1(X0,X129)
& sP6(X129)
& ~ p3(X129)
& p2(X129)
& ! [X132] :
( ~ r1(X129,X132)
| p2(X132) )
& p2(X129) )
| ~ sP8(X0) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X0] :
( ? [X133] :
( r1(X0,X133)
& p3(X133)
& ! [X134] :
( ~ r1(X133,X134)
| p3(X134) )
& ~ p2(X133)
& sP5(X133) )
| ~ sP9(X0) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X118] :
( ? [X120] :
( r1(X118,X120)
& ~ p4(X120)
& p3(X120)
& ! [X121] :
( ~ r1(X120,X121)
| p3(X121) )
& p3(X120) )
| ~ sP10(X118) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X114] :
( ? [X115] :
( r1(X114,X115)
& p4(X115)
& ! [X116] :
( ~ r1(X115,X116)
| p4(X116) )
& ~ p3(X115) )
| ~ sP11(X114) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X0] :
( ? [X122] :
( r1(X0,X122)
& p4(X122)
& ! [X123] :
( ~ r1(X122,X123)
| p4(X123) )
& ~ p3(X122)
& ~ p4(X122)
& p3(X122)
& ! [X124] :
( ~ r1(X122,X124)
| p3(X124) )
& p3(X122) )
| ~ sP12(X0) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X0] :
( ? [X114] :
( r1(X0,X114)
& sP11(X114)
& ~ p4(X114)
& p3(X114)
& ! [X117] :
( ~ r1(X114,X117)
| p3(X117) )
& p3(X114) )
| ~ sP13(X0) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f21,definition,
! [X0] :
( ? [X118] :
( r1(X0,X118)
& p4(X118)
& ! [X119] :
( ~ r1(X118,X119)
| p4(X119) )
& ~ p3(X118)
& sP10(X118) )
| ~ sP14(X0) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f22,definition,
! [X99] :
( ? [X101] :
( r1(X99,X101)
& ~ p5(X101)
& p4(X101)
& ! [X102] :
( ~ r1(X101,X102)
| p4(X102) )
& p4(X101) )
| ~ sP15(X99) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X95] :
( ? [X96] :
( r1(X95,X96)
& p5(X96)
& ! [X97] :
( ~ r1(X96,X97)
| p5(X97) )
& ~ p4(X96) )
| ~ sP16(X95) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f24,definition,
! [X0] :
( ? [X103] :
( r1(X0,X103)
& p5(X103)
& ! [X104] :
( ~ r1(X103,X104)
| p5(X104) )
& ~ p4(X103)
& ~ p5(X103)
& p4(X103)
& ! [X105] :
( ~ r1(X103,X105)
| p4(X105) )
& p4(X103) )
| ~ sP17(X0) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f25,definition,
! [X0] :
( ? [X95] :
( r1(X0,X95)
& sP16(X95)
& ~ p5(X95)
& p4(X95)
& ! [X98] :
( ~ r1(X95,X98)
| p4(X98) )
& p4(X95) )
| ~ sP18(X0) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f26,definition,
! [X0] :
( ? [X99] :
( r1(X0,X99)
& p5(X99)
& ! [X100] :
( ~ r1(X99,X100)
| p5(X100) )
& ~ p4(X99)
& sP15(X99) )
| ~ sP19(X0) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f27,definition,
! [X84] :
( ? [X86] :
( r1(X84,X86)
& ~ p6(X86)
& p5(X86)
& ! [X87] :
( ~ r1(X86,X87)
| p5(X87) )
& p5(X86) )
| ~ sP20(X84) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f28,definition,
! [X80] :
( ? [X81] :
( r1(X80,X81)
& p6(X81)
& ! [X82] :
( ~ r1(X81,X82)
| p6(X82) )
& ~ p5(X81) )
| ~ sP21(X80) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f29,definition,
! [X0] :
( ? [X88] :
( r1(X0,X88)
& p6(X88)
& ! [X89] :
( ~ r1(X88,X89)
| p6(X89) )
& ~ p5(X88)
& ~ p6(X88)
& p5(X88)
& ! [X90] :
( ~ r1(X88,X90)
| p5(X90) )
& p5(X88) )
| ~ sP22(X0) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f30,definition,
! [X0] :
( ? [X80] :
( r1(X0,X80)
& sP21(X80)
& ~ p6(X80)
& p5(X80)
& ! [X83] :
( ~ r1(X80,X83)
| p5(X83) )
& p5(X80) )
| ~ sP23(X0) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f31,definition,
! [X0] :
( ? [X84] :
( r1(X0,X84)
& p6(X84)
& ! [X85] :
( ~ r1(X84,X85)
| p6(X85) )
& ~ p5(X84)
& sP20(X84) )
| ~ sP24(X0) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f32,definition,
! [X69] :
( ? [X71] :
( r1(X69,X71)
& ~ p7(X71)
& p6(X71)
& ! [X72] :
( ~ r1(X71,X72)
| p6(X72) )
& p6(X71) )
| ~ sP25(X69) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f33,definition,
! [X65] :
( ? [X66] :
( r1(X65,X66)
& p7(X66)
& ! [X67] :
( ~ r1(X66,X67)
| p7(X67) )
& ~ p6(X66) )
| ~ sP26(X65) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f34,definition,
! [X0] :
( ? [X73] :
( r1(X0,X73)
& p7(X73)
& ! [X74] :
( ~ r1(X73,X74)
| p7(X74) )
& ~ p6(X73)
& ~ p7(X73)
& p6(X73)
& ! [X75] :
( ~ r1(X73,X75)
| p6(X75) )
& p6(X73) )
| ~ sP27(X0) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f35,definition,
! [X0] :
( ? [X65] :
( r1(X0,X65)
& sP26(X65)
& ~ p7(X65)
& p6(X65)
& ! [X68] :
( ~ r1(X65,X68)
| p6(X68) )
& p6(X65) )
| ~ sP28(X0) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f36,definition,
! [X0] :
( ? [X69] :
( r1(X0,X69)
& p7(X69)
& ! [X70] :
( ~ r1(X69,X70)
| p7(X70) )
& ~ p6(X69)
& sP25(X69) )
| ~ sP29(X0) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f37,definition,
! [X54] :
( ? [X56] :
( r1(X54,X56)
& ~ p8(X56)
& p7(X56)
& ! [X57] :
( ~ r1(X56,X57)
| p7(X57) )
& p7(X56) )
| ~ sP30(X54) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f38,definition,
! [X50] :
( ? [X51] :
( r1(X50,X51)
& p8(X51)
& ! [X52] :
( ~ r1(X51,X52)
| p8(X52) )
& ~ p7(X51) )
| ~ sP31(X50) ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f39,definition,
! [X0] :
( ? [X58] :
( r1(X0,X58)
& p8(X58)
& ! [X59] :
( ~ r1(X58,X59)
| p8(X59) )
& ~ p7(X58)
& ~ p8(X58)
& p7(X58)
& ! [X60] :
( ~ r1(X58,X60)
| p7(X60) )
& p7(X58) )
| ~ sP32(X0) ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f40,definition,
! [X0] :
( ? [X50] :
( r1(X0,X50)
& sP31(X50)
& ~ p8(X50)
& p7(X50)
& ! [X53] :
( ~ r1(X50,X53)
| p7(X53) )
& p7(X50) )
| ~ sP33(X0) ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f41,definition,
! [X0] :
( ? [X54] :
( r1(X0,X54)
& p8(X54)
& ! [X55] :
( ~ r1(X54,X55)
| p8(X55) )
& ~ p7(X54)
& sP30(X54) )
| ~ sP34(X0) ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f42,definition,
! [X39] :
( ? [X41] :
( r1(X39,X41)
& ~ p9(X41)
& p8(X41)
& ! [X42] :
( ~ r1(X41,X42)
| p8(X42) )
& p8(X41) )
| ~ sP35(X39) ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f43,definition,
! [X35] :
( ? [X36] :
( r1(X35,X36)
& p9(X36)
& ! [X37] :
( ~ r1(X36,X37)
| p9(X37) )
& ~ p8(X36) )
| ~ sP36(X35) ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f44,definition,
! [X0] :
( ? [X43] :
( r1(X0,X43)
& p9(X43)
& ! [X44] :
( ~ r1(X43,X44)
| p9(X44) )
& ~ p8(X43)
& ~ p9(X43)
& p8(X43)
& ! [X45] :
( ~ r1(X43,X45)
| p8(X45) )
& p8(X43) )
| ~ sP37(X0) ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f45,definition,
! [X0] :
( ? [X35] :
( r1(X0,X35)
& sP36(X35)
& ~ p9(X35)
& p8(X35)
& ! [X38] :
( ~ r1(X35,X38)
| p8(X38) )
& p8(X35) )
| ~ sP38(X0) ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f46,definition,
! [X0] :
( ? [X39] :
( r1(X0,X39)
& p9(X39)
& ! [X40] :
( ~ r1(X39,X40)
| p9(X40) )
& ~ p8(X39)
& sP35(X39) )
| ~ sP39(X0) ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f47,definition,
! [X24] :
( ? [X26] :
( r1(X24,X26)
& ~ p10(X26)
& p9(X26)
& ! [X27] :
( ~ r1(X26,X27)
| p9(X27) )
& p9(X26) )
| ~ sP40(X24) ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f48,definition,
! [X20] :
( ? [X21] :
( r1(X20,X21)
& p10(X21)
& ! [X22] :
( ~ r1(X21,X22)
| p10(X22) )
& ~ p9(X21) )
| ~ sP41(X20) ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f49,definition,
! [X0] :
( ? [X28] :
( r1(X0,X28)
& p10(X28)
& ! [X29] :
( ~ r1(X28,X29)
| p10(X29) )
& ~ p9(X28)
& ~ p10(X28)
& p9(X28)
& ! [X30] :
( ~ r1(X28,X30)
| p9(X30) )
& p9(X28) )
| ~ sP42(X0) ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f50,definition,
! [X0] :
( ? [X20] :
( r1(X0,X20)
& sP41(X20)
& ~ p10(X20)
& p9(X20)
& ! [X23] :
( ~ r1(X20,X23)
| p9(X23) )
& p9(X20) )
| ~ sP43(X0) ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f51,definition,
! [X0] :
( ? [X24] :
( r1(X0,X24)
& p10(X24)
& ! [X25] :
( ~ r1(X24,X25)
| p10(X25) )
& ~ p9(X24)
& sP40(X24) )
| ~ sP44(X0) ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f52,definition,
! [X9] :
( ? [X11] :
( r1(X9,X11)
& ~ p11(X11)
& p10(X11)
& ! [X12] :
( ~ r1(X11,X12)
| p10(X12) )
& p10(X11) )
| ~ sP45(X9) ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f53,definition,
! [X5] :
( ? [X6] :
( r1(X5,X6)
& p11(X6)
& ! [X7] :
( ~ r1(X6,X7)
| p11(X7) )
& ~ p10(X6) )
| ~ sP46(X5) ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f54,definition,
! [X0] :
( ? [X13] :
( r1(X0,X13)
& p11(X13)
& ! [X14] :
( ~ r1(X13,X14)
| p11(X14) )
& ~ p10(X13)
& ~ p11(X13)
& p10(X13)
& ! [X15] :
( ~ r1(X13,X15)
| p10(X15) )
& p10(X13) )
| ~ sP47(X0) ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f55,definition,
! [X0] :
( ? [X5] :
( r1(X0,X5)
& sP46(X5)
& ~ p11(X5)
& p10(X5)
& ! [X8] :
( ~ r1(X5,X8)
| p10(X8) )
& p10(X5) )
| ~ sP48(X0) ),
introduced(definition,[new_symbols(definition,[sP48])],[predicate_definition_introduction]) ).
fof(f56,definition,
! [X0] :
( ? [X9] :
( r1(X0,X9)
& p11(X9)
& ! [X10] :
( ~ r1(X9,X10)
| p11(X10) )
& ~ p10(X9)
& sP45(X9) )
| ~ sP49(X0) ),
introduced(definition,[new_symbols(definition,[sP49])],[predicate_definition_introduction]) ).
fof(f57,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p11(X1)
| ? [X2] :
( r1(X1,X2)
& ~ p11(X2) )
| p10(X1) )
| ! [X3] :
( ~ r1(X0,X3)
| p11(X3)
| ~ p10(X3)
| ? [X4] :
( r1(X3,X4)
& ~ p10(X4) )
| ~ p10(X3) )
| sP48(X0)
| sP49(X0)
| sP47(X0) )
& ( ! [X16] :
( ~ r1(X0,X16)
| ~ p10(X16)
| ? [X17] :
( r1(X16,X17)
& ~ p10(X17) )
| p9(X16) )
| ! [X18] :
( ~ r1(X0,X18)
| p10(X18)
| ~ p9(X18)
| ? [X19] :
( r1(X18,X19)
& ~ p9(X19) )
| ~ p9(X18) )
| sP43(X0)
| sP44(X0)
| sP42(X0) )
& ( ! [X31] :
( ~ r1(X0,X31)
| ~ p9(X31)
| ? [X32] :
( r1(X31,X32)
& ~ p9(X32) )
| p8(X31) )
| ! [X33] :
( ~ r1(X0,X33)
| p9(X33)
| ~ p8(X33)
| ? [X34] :
( r1(X33,X34)
& ~ p8(X34) )
| ~ p8(X33) )
| sP38(X0)
| sP39(X0)
| sP37(X0) )
& ( ! [X46] :
( ~ r1(X0,X46)
| ~ p8(X46)
| ? [X47] :
( r1(X46,X47)
& ~ p8(X47) )
| p7(X46) )
| ! [X48] :
( ~ r1(X0,X48)
| p8(X48)
| ~ p7(X48)
| ? [X49] :
( r1(X48,X49)
& ~ p7(X49) )
| ~ p7(X48) )
| sP33(X0)
| sP34(X0)
| sP32(X0) )
& ( ! [X61] :
( ~ r1(X0,X61)
| ~ p7(X61)
| ? [X62] :
( r1(X61,X62)
& ~ p7(X62) )
| p6(X61) )
| ! [X63] :
( ~ r1(X0,X63)
| p7(X63)
| ~ p6(X63)
| ? [X64] :
( r1(X63,X64)
& ~ p6(X64) )
| ~ p6(X63) )
| sP28(X0)
| sP29(X0)
| sP27(X0) )
& ( ! [X76] :
( ~ r1(X0,X76)
| ~ p6(X76)
| ? [X77] :
( r1(X76,X77)
& ~ p6(X77) )
| p5(X76) )
| ! [X78] :
( ~ r1(X0,X78)
| p6(X78)
| ~ p5(X78)
| ? [X79] :
( r1(X78,X79)
& ~ p5(X79) )
| ~ p5(X78) )
| sP23(X0)
| sP24(X0)
| sP22(X0) )
& ( ! [X91] :
( ~ r1(X0,X91)
| ~ p5(X91)
| ? [X92] :
( r1(X91,X92)
& ~ p5(X92) )
| p4(X91) )
| ! [X93] :
( ~ r1(X0,X93)
| p5(X93)
| ~ p4(X93)
| ? [X94] :
( r1(X93,X94)
& ~ p4(X94) )
| ~ p4(X93) )
| sP18(X0)
| sP19(X0)
| sP17(X0) )
& ? [X106] :
( r1(X0,X106)
& ~ p10(X106)
& ! [X107] :
( ~ r1(X106,X107)
| p10(X107) )
& p10(X106) )
& ? [X108] :
( r1(X0,X108)
& ~ p10(X108)
& ! [X109] :
( ~ r1(X108,X109)
| p10(X109) )
& p10(X108) )
& ( ! [X110] :
( ~ r1(X0,X110)
| ~ p4(X110)
| ? [X111] :
( r1(X110,X111)
& ~ p4(X111) )
| p3(X110) )
| ! [X112] :
( ~ r1(X0,X112)
| p4(X112)
| ~ p3(X112)
| ? [X113] :
( r1(X112,X113)
& ~ p3(X113) )
| ~ p3(X112) )
| sP13(X0)
| sP14(X0)
| sP12(X0) )
& ( ! [X125] :
( ~ r1(X0,X125)
| ~ p3(X125)
| ? [X126] :
( r1(X125,X126)
& ~ p3(X126) )
| p2(X125) )
| ! [X127] :
( ~ r1(X0,X127)
| p3(X127)
| ~ p2(X127)
| ? [X128] :
( r1(X127,X128)
& ~ p2(X128) )
| ~ p2(X127) )
| sP8(X0)
| sP9(X0)
| sP7(X0) )
& ( ! [X140] :
( ~ r1(X0,X140)
| ~ p2(X140)
| ? [X141] :
( r1(X140,X141)
& ~ p2(X141) )
| p1(X140) )
| ! [X142] :
( ~ r1(X0,X142)
| p2(X142)
| ~ p1(X142)
| ? [X143] :
( r1(X142,X143)
& ~ p1(X143) )
| ~ p1(X142) )
| sP3(X0)
| sP4(X0)
| sP2(X0) ) ),
inference(definition_folding,[],[f6,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f208,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p11(X1)
| ? [X2] :
( r1(X1,X2)
& ~ p11(X2) )
| p10(X1) )
| ! [X3] :
( ~ r1(X0,X3)
| p11(X3)
| ~ p10(X3)
| ? [X4] :
( r1(X3,X4)
& ~ p10(X4) )
| ~ p10(X3) )
| sP48(X0)
| sP49(X0)
| sP47(X0) )
& ( ! [X5] :
( ~ r1(X0,X5)
| ~ p10(X5)
| ? [X6] :
( r1(X5,X6)
& ~ p10(X6) )
| p9(X5) )
| ! [X7] :
( ~ r1(X0,X7)
| p10(X7)
| ~ p9(X7)
| ? [X8] :
( r1(X7,X8)
& ~ p9(X8) )
| ~ p9(X7) )
| sP43(X0)
| sP44(X0)
| sP42(X0) )
& ( ! [X9] :
( ~ r1(X0,X9)
| ~ p9(X9)
| ? [X10] :
( r1(X9,X10)
& ~ p9(X10) )
| p8(X9) )
| ! [X11] :
( ~ r1(X0,X11)
| p9(X11)
| ~ p8(X11)
| ? [X12] :
( r1(X11,X12)
& ~ p8(X12) )
| ~ p8(X11) )
| sP38(X0)
| sP39(X0)
| sP37(X0) )
& ( ! [X13] :
( ~ r1(X0,X13)
| ~ p8(X13)
| ? [X14] :
( r1(X13,X14)
& ~ p8(X14) )
| p7(X13) )
| ! [X15] :
( ~ r1(X0,X15)
| p8(X15)
| ~ p7(X15)
| ? [X16] :
( r1(X15,X16)
& ~ p7(X16) )
| ~ p7(X15) )
| sP33(X0)
| sP34(X0)
| sP32(X0) )
& ( ! [X17] :
( ~ r1(X0,X17)
| ~ p7(X17)
| ? [X18] :
( r1(X17,X18)
& ~ p7(X18) )
| p6(X17) )
| ! [X19] :
( ~ r1(X0,X19)
| p7(X19)
| ~ p6(X19)
| ? [X20] :
( r1(X19,X20)
& ~ p6(X20) )
| ~ p6(X19) )
| sP28(X0)
| sP29(X0)
| sP27(X0) )
& ( ! [X21] :
( ~ r1(X0,X21)
| ~ p6(X21)
| ? [X22] :
( r1(X21,X22)
& ~ p6(X22) )
| p5(X21) )
| ! [X23] :
( ~ r1(X0,X23)
| p6(X23)
| ~ p5(X23)
| ? [X24] :
( r1(X23,X24)
& ~ p5(X24) )
| ~ p5(X23) )
| sP23(X0)
| sP24(X0)
| sP22(X0) )
& ( ! [X25] :
( ~ r1(X0,X25)
| ~ p5(X25)
| ? [X26] :
( r1(X25,X26)
& ~ p5(X26) )
| p4(X25) )
| ! [X27] :
( ~ r1(X0,X27)
| p5(X27)
| ~ p4(X27)
| ? [X28] :
( r1(X27,X28)
& ~ p4(X28) )
| ~ p4(X27) )
| sP18(X0)
| sP19(X0)
| sP17(X0) )
& ? [X29] :
( r1(X0,X29)
& ~ p10(X29)
& ! [X30] :
( ~ r1(X29,X30)
| p10(X30) )
& p10(X29) )
& ? [X31] :
( r1(X0,X31)
& ~ p10(X31)
& ! [X32] :
( ~ r1(X31,X32)
| p10(X32) )
& p10(X31) )
& ( ! [X33] :
( ~ r1(X0,X33)
| ~ p4(X33)
| ? [X34] :
( r1(X33,X34)
& ~ p4(X34) )
| p3(X33) )
| ! [X35] :
( ~ r1(X0,X35)
| p4(X35)
| ~ p3(X35)
| ? [X36] :
( r1(X35,X36)
& ~ p3(X36) )
| ~ p3(X35) )
| sP13(X0)
| sP14(X0)
| sP12(X0) )
& ( ! [X37] :
( ~ r1(X0,X37)
| ~ p3(X37)
| ? [X38] :
( r1(X37,X38)
& ~ p3(X38) )
| p2(X37) )
| ! [X39] :
( ~ r1(X0,X39)
| p3(X39)
| ~ p2(X39)
| ? [X40] :
( r1(X39,X40)
& ~ p2(X40) )
| ~ p2(X39) )
| sP8(X0)
| sP9(X0)
| sP7(X0) )
& ( ! [X41] :
( ~ r1(X0,X41)
| ~ p2(X41)
| ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
| p1(X41) )
| ! [X43] :
( ~ r1(X0,X43)
| p2(X43)
| ~ p1(X43)
| ? [X44] :
( r1(X43,X44)
& ~ p1(X44) )
| ~ p1(X43) )
| sP3(X0)
| sP4(X0)
| sP2(X0) ) ),
inference(rectify,[],[f57]) ).
fof(f209,plain,
( ( ! [X1] :
( ~ r1(sK100,X1)
| ~ p11(X1)
| ( r1(X1,sK101(X1))
& ~ p11(sK101(X1)) )
| p10(X1) )
| ! [X3] :
( ~ r1(sK100,X3)
| p11(X3)
| ~ p10(X3)
| ( r1(X3,sK102(X3))
& ~ p10(sK102(X3)) )
| ~ p10(X3) )
| sP48(sK100)
| sP49(sK100)
| sP47(sK100) )
& ( ! [X5] :
( ~ r1(sK100,X5)
| ~ p10(X5)
| ( r1(X5,sK103(X5))
& ~ p10(sK103(X5)) )
| p9(X5) )
| ! [X7] :
( ~ r1(sK100,X7)
| p10(X7)
| ~ p9(X7)
| ( r1(X7,sK104(X7))
& ~ p9(sK104(X7)) )
| ~ p9(X7) )
| sP43(sK100)
| sP44(sK100)
| sP42(sK100) )
& ( ! [X9] :
( ~ r1(sK100,X9)
| ~ p9(X9)
| ( r1(X9,sK105(X9))
& ~ p9(sK105(X9)) )
| p8(X9) )
| ! [X11] :
( ~ r1(sK100,X11)
| p9(X11)
| ~ p8(X11)
| ( r1(X11,sK106(X11))
& ~ p8(sK106(X11)) )
| ~ p8(X11) )
| sP38(sK100)
| sP39(sK100)
| sP37(sK100) )
& ( ! [X13] :
( ~ r1(sK100,X13)
| ~ p8(X13)
| ( r1(X13,sK107(X13))
& ~ p8(sK107(X13)) )
| p7(X13) )
| ! [X15] :
( ~ r1(sK100,X15)
| p8(X15)
| ~ p7(X15)
| ( r1(X15,sK108(X15))
& ~ p7(sK108(X15)) )
| ~ p7(X15) )
| sP33(sK100)
| sP34(sK100)
| sP32(sK100) )
& ( ! [X17] :
( ~ r1(sK100,X17)
| ~ p7(X17)
| ( r1(X17,sK109(X17))
& ~ p7(sK109(X17)) )
| p6(X17) )
| ! [X19] :
( ~ r1(sK100,X19)
| p7(X19)
| ~ p6(X19)
| ( r1(X19,sK110(X19))
& ~ p6(sK110(X19)) )
| ~ p6(X19) )
| sP28(sK100)
| sP29(sK100)
| sP27(sK100) )
& ( ! [X21] :
( ~ r1(sK100,X21)
| ~ p6(X21)
| ( r1(X21,sK111(X21))
& ~ p6(sK111(X21)) )
| p5(X21) )
| ! [X23] :
( ~ r1(sK100,X23)
| p6(X23)
| ~ p5(X23)
| ( r1(X23,sK112(X23))
& ~ p5(sK112(X23)) )
| ~ p5(X23) )
| sP23(sK100)
| sP24(sK100)
| sP22(sK100) )
& ( ! [X25] :
( ~ r1(sK100,X25)
| ~ p5(X25)
| ( r1(X25,sK113(X25))
& ~ p5(sK113(X25)) )
| p4(X25) )
| ! [X27] :
( ~ r1(sK100,X27)
| p5(X27)
| ~ p4(X27)
| ( r1(X27,sK114(X27))
& ~ p4(sK114(X27)) )
| ~ p4(X27) )
| sP18(sK100)
| sP19(sK100)
| sP17(sK100) )
& r1(sK100,sK115)
& ~ p10(sK115)
& ! [X30] :
( ~ r1(sK115,X30)
| p10(X30) )
& p10(sK115)
& r1(sK100,sK116)
& ~ p10(sK116)
& ! [X32] :
( ~ r1(sK116,X32)
| p10(X32) )
& p10(sK116)
& ( ! [X33] :
( ~ r1(sK100,X33)
| ~ p4(X33)
| ( r1(X33,sK117(X33))
& ~ p4(sK117(X33)) )
| p3(X33) )
| ! [X35] :
( ~ r1(sK100,X35)
| p4(X35)
| ~ p3(X35)
| ( r1(X35,sK118(X35))
& ~ p3(sK118(X35)) )
| ~ p3(X35) )
| sP13(sK100)
| sP14(sK100)
| sP12(sK100) )
& ( ! [X37] :
( ~ r1(sK100,X37)
| ~ p3(X37)
| ( r1(X37,sK119(X37))
& ~ p3(sK119(X37)) )
| p2(X37) )
| ! [X39] :
( ~ r1(sK100,X39)
| p3(X39)
| ~ p2(X39)
| ( r1(X39,sK120(X39))
& ~ p2(sK120(X39)) )
| ~ p2(X39) )
| sP8(sK100)
| sP9(sK100)
| sP7(sK100) )
& ( ! [X41] :
( ~ r1(sK100,X41)
| ~ p2(X41)
| ( r1(X41,sK121(X41))
& ~ p2(sK121(X41)) )
| p1(X41) )
| ! [X43] :
( ~ r1(sK100,X43)
| p2(X43)
| ~ p1(X43)
| ( r1(X43,sK122(X43))
& ~ p1(sK122(X43)) )
| ~ p1(X43) )
| sP3(sK100)
| sP4(sK100)
| sP2(sK100) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK100,sK101,sK102,sK103,sK104,sK105,sK106,sK107,sK108,sK109,sK110,sK111,sK112,sK113,sK114,sK115,sK116,sK117,sK118,sK119,sK120,sK121,sK122]),skolemize(X0,sK100),skolemize(X2,sK101(X1)),skolemize(X4,sK102(X3)),skolemize(X6,sK103(X5)),skolemize(X8,sK104(X7)),skolemize(X10,sK105(X9)),skolemize(X12,sK106(X11)),skolemize(X14,sK107(X13)),skolemize(X16,sK108(X15)),skolemize(X18,sK109(X17)),skolemize(X20,sK110(X19)),skolemize(X22,sK111(X21)),skolemize(X24,sK112(X23)),skolemize(X26,sK113(X25)),skolemize(X28,sK114(X27)),skolemize(X29,sK115),skolemize(X31,sK116),skolemize(X34,sK117(X33)),skolemize(X36,sK118(X35)),skolemize(X38,sK119(X37)),skolemize(X40,sK120(X39)),skolemize(X42,sK121(X41)),skolemize(X44,sK122(X43))],[f208]) ).
fof(f502,plain,
p10(sK116),
inference(cnf_transformation,[],[f209]) ).
fof(f504,plain,
~ p10(sK116),
inference(cnf_transformation,[],[f209]) ).
fof(f578,plain,
$false,
inference(forward_subsumption_resolution,[],[f504,f502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL644+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 16:10:53 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.77 % (2557266)Detected formulas, will run a generic FOF schedule.
% 0.26/0.77 % (2557273)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3402042575:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.26/0.77 % (2557271)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2493632475:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.26/0.77 % (2557275)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=499351180:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.26/0.77 % (2557274)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2644350520:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.26/0.77 % (2557272)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2298315011:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.26/0.77 % (2557277)dis-21_1_sil=8000:lcm=predicate:random_seed=597363745:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.26/0.77 % (2557276)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=869370413:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.26/0.77 % (2557275)First to succeed.
% 0.26/0.77 % (2557276)Also succeeded, but the first one will report.
% 0.26/0.77 % (2557277)Also succeeded, but the first one will report.
% 0.26/0.77 % (2557275)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2557266"
% 0.26/0.77 % (2557274)Also succeeded, but the first one will report.
% 0.26/0.77 % (2557275)Refutation found. Thanks to Tanya!
% 0.26/0.77 % SZS status Theorem for theBenchmark
% 0.26/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.87 % (2557275)------------------------------
% 2.03/0.87 % (2557275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/0.87 % (2557275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.87 % (2557275)CaDiCaL version: 2.1.3
% 2.03/0.87 % (2557275)Termination reason: Refutation
% 2.03/0.87 % (2557275)Time elapsed: 0.006 s
% 2.03/0.87 % (2557275)Peak memory usage: 88 MB
% 2.03/0.87 % (2557275)Instructions burned: 22 (million)
% 2.03/0.87 % (2557275)------------------------------
% 2.03/0.87 % (2557275)------------------------------
% 2.03/0.87 % (2557266)Success in time 0.263 s
% 2.03/0.87 % Vampire exiting
%------------------------------------------------------------------------------