%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL642+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 11:53:45 AM UTC 2026
% Result : Theorem 0.87s 0.80s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 46
% Syntax : Number of formulae : 273 ( 14 unt; 45 def)
% Number of atoms : 4544 ( 0 equ)
% Maximal formula atoms : 410 ( 16 avg)
% Number of connectives : 6680 (2409 ~;3381 |; 867 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 51 ( 50 usr; 24 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 18 con; 0-1 aty)
% Number of variables : 1536 ( 0 sgn1265 !; 271 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) )
| ~ ( ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) )
| ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ) )
& ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) ) )
| ~ ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) )
| ~ ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) )
| ~ ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) )
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) ) ) ) )
& ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) )
| ~ ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) )
| ~ ( ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) )
| ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ) )
& ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) ) )
| ~ ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) )
| ~ ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) )
| ~ ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) )
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) ) ) ) )
& ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) )
| ~ ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p3(X4) )
| ~ p3(X3) ) )
| ! [X5] :
( ~ r1(X0,X5)
| p2(X5) )
| ~ ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
| ~ p2(X7) ) )
| ! [X9] :
( ~ r1(X0,X9)
| p1(X9) )
| ~ ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12) )
| ~ p1(X11) ) )
| ~ ( ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p2(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ~ ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) )
| ~ ! [X22] :
( ~ r1(X0,X22)
| ( ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
| ~ ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) )
| ~ p2(X28) ) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
| ~ ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) )
| ~ p2(X36) ) ) )
| ~ ! [X38] :
( ~ r1(X33,X38)
| p2(X38)
| ~ ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ~ ! [X41] :
( ~ r1(X33,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) )
| ~ ( ( ! [X43] :
( ~ r1(X32,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X32)
| ~ ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) ) )
& ( p1(X0)
| ! [X52] :
( ~ r1(X0,X52)
| p4(X52)
| p3(X52)
| p2(X52)
| p1(X52)
| ! [X53] :
( ~ r1(X52,X53)
| p4(X53)
| p3(X53)
| p2(X53)
| p1(X53)
| ! [X54] :
( ~ r1(X53,X54)
| $false ) ) )
| ~ ! [X55] :
( ~ r1(X0,X55)
| p1(X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] :
( ~ r1(X56,X57)
| p4(X57)
| p3(X57)
| p2(X57)
| p1(X57)
| ! [X58] :
( ~ r1(X57,X58)
| $false ) ) )
| ~ ! [X59] :
( ~ r1(X55,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p1(X60)
| ! [X61] :
( ~ r1(X60,X61)
| p4(X61)
| p3(X61)
| p2(X61)
| p1(X61)
| ! [X62] :
( ~ r1(X61,X62)
| p4(X62)
| p3(X62)
| p2(X62)
| p1(X62)
| ! [X63] :
( ~ r1(X62,X63)
| $false ) ) ) )
| ~ ( p1(X59)
| ! [X64] :
( ~ r1(X59,X64)
| p4(X64)
| p3(X64)
| p2(X64)
| p1(X64)
| ! [X65] :
( ~ r1(X64,X65)
| p4(X65)
| p3(X65)
| p2(X65)
| p1(X65)
| ! [X66] :
( ~ r1(X65,X66)
| $false ) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X67] :
( ~ r1(X0,X67)
| p4(X67)
| p3(X67)
| p2(X67)
| p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| $false ) )
| ~ ! [X69] :
( ~ r1(X0,X69)
| p4(X69)
| p3(X69)
| p2(X69)
| p1(X69)
| ! [X70] :
( ~ r1(X69,X70)
| p4(X70)
| p3(X70)
| p2(X70)
| p1(X70)
| ! [X71] :
( ~ r1(X70,X71)
| $false ) )
| ~ ! [X72] :
( ~ r1(X69,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p4(X73)
| p3(X73)
| p2(X73)
| p1(X73)
| ! [X74] :
( ~ r1(X73,X74)
| p4(X74)
| p3(X74)
| p2(X74)
| p1(X74)
| ! [X75] :
( ~ r1(X74,X75)
| $false ) ) )
| ~ ( p4(X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X76] :
( ~ r1(X72,X76)
| p4(X76)
| p3(X76)
| p2(X76)
| p1(X76)
| ! [X77] :
( ~ r1(X76,X77)
| $false ) ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X78] :
( ~ r1(X0,X78)
| p4(X78)
| p3(X78)
| p2(X78)
| p1(X78)
| ! [X79] :
( ~ r1(X78,X79)
| $false ) )
| ~ ! [X80] :
( ~ r1(X0,X80)
| p3(X80)
| p2(X80)
| p1(X80)
| ! [X81] :
( ~ r1(X80,X81)
| p4(X81)
| p3(X81)
| p2(X81)
| p1(X81)
| ! [X82] :
( ~ r1(X81,X82)
| $false ) )
| ~ ! [X83] :
( ~ r1(X80,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p3(X84)
| p2(X84)
| p1(X84)
| ! [X85] :
( ~ r1(X84,X85)
| p4(X85)
| p3(X85)
| p2(X85)
| p1(X85)
| ! [X86] :
( ~ r1(X85,X86)
| $false ) ) )
| ~ ( p3(X83)
| p2(X83)
| p1(X83)
| ! [X87] :
( ~ r1(X83,X87)
| p4(X87)
| p3(X87)
| p2(X87)
| p1(X87)
| ! [X88] :
( ~ r1(X87,X88)
| $false ) ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X89] :
( ~ r1(X0,X89)
| p4(X89)
| p3(X89)
| p2(X89)
| p1(X89)
| ! [X90] :
( ~ r1(X89,X90)
| $false ) )
| ~ ! [X91] :
( ~ r1(X0,X91)
| p2(X91)
| p1(X91)
| ! [X92] :
( ~ r1(X91,X92)
| p4(X92)
| p3(X92)
| p2(X92)
| p1(X92)
| ! [X93] :
( ~ r1(X92,X93)
| $false ) )
| ~ ! [X94] :
( ~ r1(X91,X94)
| ! [X95] :
( ~ r1(X94,X95)
| p2(X95)
| p1(X95)
| ! [X96] :
( ~ r1(X95,X96)
| p4(X96)
| p3(X96)
| p2(X96)
| p1(X96)
| ! [X97] :
( ~ r1(X96,X97)
| $false ) ) )
| ~ ( p2(X94)
| p1(X94)
| ! [X98] :
( ~ r1(X94,X98)
| p4(X98)
| p3(X98)
| p2(X98)
| p1(X98)
| ! [X99] :
( ~ r1(X98,X99)
| $false ) ) ) ) ) )
& ( p1(X0)
| ! [X100] :
( ~ r1(X0,X100)
| p4(X100)
| p3(X100)
| p2(X100)
| p1(X100)
| ! [X101] :
( ~ r1(X100,X101)
| $false ) )
| ~ ! [X102] :
( ~ r1(X0,X102)
| p1(X102)
| ! [X103] :
( ~ r1(X102,X103)
| p4(X103)
| p3(X103)
| p2(X103)
| p1(X103)
| ! [X104] :
( ~ r1(X103,X104)
| $false ) )
| ~ ! [X105] :
( ~ r1(X102,X105)
| ! [X106] :
( ~ r1(X105,X106)
| p1(X106)
| ! [X107] :
( ~ r1(X106,X107)
| p4(X107)
| p3(X107)
| p2(X107)
| p1(X107)
| ! [X108] :
( ~ r1(X107,X108)
| $false ) ) )
| ~ ( p1(X105)
| ! [X109] :
( ~ r1(X105,X109)
| p4(X109)
| p3(X109)
| p2(X109)
| p1(X109)
| ! [X110] :
( ~ r1(X109,X110)
| $false ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X111] :
( ~ r1(X0,X111)
| $false )
| ~ ! [X112] :
( ~ r1(X0,X112)
| p4(X112)
| p3(X112)
| p2(X112)
| p1(X112)
| ! [X113] :
( ~ r1(X112,X113)
| $false )
| ~ ! [X114] :
( ~ r1(X112,X114)
| ! [X115] :
( ~ r1(X114,X115)
| p4(X115)
| p3(X115)
| p2(X115)
| p1(X115)
| ! [X116] :
( ~ r1(X115,X116)
| $false ) )
| ~ ( p4(X114)
| p3(X114)
| p2(X114)
| p1(X114)
| ! [X117] :
( ~ r1(X114,X117)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X118] :
( ~ r1(X0,X118)
| $false )
| ~ ! [X119] :
( ~ r1(X0,X119)
| p3(X119)
| p2(X119)
| p1(X119)
| ! [X120] :
( ~ r1(X119,X120)
| $false )
| ~ ! [X121] :
( ~ r1(X119,X121)
| ! [X122] :
( ~ r1(X121,X122)
| p3(X122)
| p2(X122)
| p1(X122)
| ! [X123] :
( ~ r1(X122,X123)
| $false ) )
| ~ ( p3(X121)
| p2(X121)
| p1(X121)
| ! [X124] :
( ~ r1(X121,X124)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X125] :
( ~ r1(X0,X125)
| $false )
| ~ ! [X126] :
( ~ r1(X0,X126)
| p2(X126)
| p1(X126)
| ! [X127] :
( ~ r1(X126,X127)
| $false )
| ~ ! [X128] :
( ~ r1(X126,X128)
| ! [X129] :
( ~ r1(X128,X129)
| p2(X129)
| p1(X129)
| ! [X130] :
( ~ r1(X129,X130)
| $false ) )
| ~ ( p2(X128)
| p1(X128)
| ! [X131] :
( ~ r1(X128,X131)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X132] :
( ~ r1(X0,X132)
| $false )
| ~ ! [X133] :
( ~ r1(X0,X133)
| p1(X133)
| ! [X134] :
( ~ r1(X133,X134)
| $false )
| ~ ! [X135] :
( ~ r1(X133,X135)
| ! [X136] :
( ~ r1(X135,X136)
| p1(X136)
| ! [X137] :
( ~ r1(X136,X137)
| $false ) )
| ~ ( p1(X135)
| ! [X138] :
( ~ r1(X135,X138)
| $false ) ) ) ) )
& ! [X139] :
( ~ r1(X0,X139)
| p2(X139)
| ~ ! [X140] :
( ~ r1(X139,X140)
| p2(X140)
| ~ ! [X141] :
( ~ r1(X140,X141)
| ! [X142] :
( ~ r1(X141,X142)
| p2(X142) )
| ~ p2(X141) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p3(X4) )
| ~ p3(X3) ) )
| ! [X5] :
( ~ r1(X0,X5)
| p2(X5) )
| ~ ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
| ~ p2(X7) ) )
| ! [X9] :
( ~ r1(X0,X9)
| p1(X9) )
| ~ ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12) )
| ~ p1(X11) ) )
| ~ ( ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p2(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ~ ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) )
| ~ ! [X22] :
( ~ r1(X0,X22)
| ( ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
| ~ ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) )
| ~ p2(X28) ) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
| ~ ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) )
| ~ p2(X36) ) ) )
| ~ ! [X38] :
( ~ r1(X33,X38)
| p2(X38)
| ~ ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ~ ! [X41] :
( ~ r1(X33,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) )
| ~ ( ( ! [X43] :
( ~ r1(X32,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X32)
| ~ ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) ) )
& ( p1(X0)
| ! [X52] :
( ~ r1(X0,X52)
| p4(X52)
| p3(X52)
| p2(X52)
| p1(X52)
| ! [X53] :
( ~ r1(X52,X53)
| p4(X53)
| p3(X53)
| p2(X53)
| p1(X53)
| ! [X54] : ~ r1(X53,X54) ) )
| ~ ! [X55] :
( ~ r1(X0,X55)
| p1(X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] :
( ~ r1(X56,X57)
| p4(X57)
| p3(X57)
| p2(X57)
| p1(X57)
| ! [X58] : ~ r1(X57,X58) ) )
| ~ ! [X59] :
( ~ r1(X55,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p1(X60)
| ! [X61] :
( ~ r1(X60,X61)
| p4(X61)
| p3(X61)
| p2(X61)
| p1(X61)
| ! [X62] :
( ~ r1(X61,X62)
| p4(X62)
| p3(X62)
| p2(X62)
| p1(X62)
| ! [X63] : ~ r1(X62,X63) ) ) )
| ~ ( p1(X59)
| ! [X64] :
( ~ r1(X59,X64)
| p4(X64)
| p3(X64)
| p2(X64)
| p1(X64)
| ! [X65] :
( ~ r1(X64,X65)
| p4(X65)
| p3(X65)
| p2(X65)
| p1(X65)
| ! [X66] : ~ r1(X65,X66) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X67] :
( ~ r1(X0,X67)
| p4(X67)
| p3(X67)
| p2(X67)
| p1(X67)
| ! [X68] : ~ r1(X67,X68) )
| ~ ! [X69] :
( ~ r1(X0,X69)
| p4(X69)
| p3(X69)
| p2(X69)
| p1(X69)
| ! [X70] :
( ~ r1(X69,X70)
| p4(X70)
| p3(X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ~ ! [X72] :
( ~ r1(X69,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p4(X73)
| p3(X73)
| p2(X73)
| p1(X73)
| ! [X74] :
( ~ r1(X73,X74)
| p4(X74)
| p3(X74)
| p2(X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75) ) )
| ~ ( p4(X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X76] :
( ~ r1(X72,X76)
| p4(X76)
| p3(X76)
| p2(X76)
| p1(X76)
| ! [X77] : ~ r1(X76,X77) ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X78] :
( ~ r1(X0,X78)
| p4(X78)
| p3(X78)
| p2(X78)
| p1(X78)
| ! [X79] : ~ r1(X78,X79) )
| ~ ! [X80] :
( ~ r1(X0,X80)
| p3(X80)
| p2(X80)
| p1(X80)
| ! [X81] :
( ~ r1(X80,X81)
| p4(X81)
| p3(X81)
| p2(X81)
| p1(X81)
| ! [X82] : ~ r1(X81,X82) )
| ~ ! [X83] :
( ~ r1(X80,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p3(X84)
| p2(X84)
| p1(X84)
| ! [X85] :
( ~ r1(X84,X85)
| p4(X85)
| p3(X85)
| p2(X85)
| p1(X85)
| ! [X86] : ~ r1(X85,X86) ) )
| ~ ( p3(X83)
| p2(X83)
| p1(X83)
| ! [X87] :
( ~ r1(X83,X87)
| p4(X87)
| p3(X87)
| p2(X87)
| p1(X87)
| ! [X88] : ~ r1(X87,X88) ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X89] :
( ~ r1(X0,X89)
| p4(X89)
| p3(X89)
| p2(X89)
| p1(X89)
| ! [X90] : ~ r1(X89,X90) )
| ~ ! [X91] :
( ~ r1(X0,X91)
| p2(X91)
| p1(X91)
| ! [X92] :
( ~ r1(X91,X92)
| p4(X92)
| p3(X92)
| p2(X92)
| p1(X92)
| ! [X93] : ~ r1(X92,X93) )
| ~ ! [X94] :
( ~ r1(X91,X94)
| ! [X95] :
( ~ r1(X94,X95)
| p2(X95)
| p1(X95)
| ! [X96] :
( ~ r1(X95,X96)
| p4(X96)
| p3(X96)
| p2(X96)
| p1(X96)
| ! [X97] : ~ r1(X96,X97) ) )
| ~ ( p2(X94)
| p1(X94)
| ! [X98] :
( ~ r1(X94,X98)
| p4(X98)
| p3(X98)
| p2(X98)
| p1(X98)
| ! [X99] : ~ r1(X98,X99) ) ) ) ) )
& ( p1(X0)
| ! [X100] :
( ~ r1(X0,X100)
| p4(X100)
| p3(X100)
| p2(X100)
| p1(X100)
| ! [X101] : ~ r1(X100,X101) )
| ~ ! [X102] :
( ~ r1(X0,X102)
| p1(X102)
| ! [X103] :
( ~ r1(X102,X103)
| p4(X103)
| p3(X103)
| p2(X103)
| p1(X103)
| ! [X104] : ~ r1(X103,X104) )
| ~ ! [X105] :
( ~ r1(X102,X105)
| ! [X106] :
( ~ r1(X105,X106)
| p1(X106)
| ! [X107] :
( ~ r1(X106,X107)
| p4(X107)
| p3(X107)
| p2(X107)
| p1(X107)
| ! [X108] : ~ r1(X107,X108) ) )
| ~ ( p1(X105)
| ! [X109] :
( ~ r1(X105,X109)
| p4(X109)
| p3(X109)
| p2(X109)
| p1(X109)
| ! [X110] : ~ r1(X109,X110) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X111] : ~ r1(X0,X111)
| ~ ! [X112] :
( ~ r1(X0,X112)
| p4(X112)
| p3(X112)
| p2(X112)
| p1(X112)
| ! [X113] : ~ r1(X112,X113)
| ~ ! [X114] :
( ~ r1(X112,X114)
| ! [X115] :
( ~ r1(X114,X115)
| p4(X115)
| p3(X115)
| p2(X115)
| p1(X115)
| ! [X116] : ~ r1(X115,X116) )
| ~ ( p4(X114)
| p3(X114)
| p2(X114)
| p1(X114)
| ! [X117] : ~ r1(X114,X117) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X118] : ~ r1(X0,X118)
| ~ ! [X119] :
( ~ r1(X0,X119)
| p3(X119)
| p2(X119)
| p1(X119)
| ! [X120] : ~ r1(X119,X120)
| ~ ! [X121] :
( ~ r1(X119,X121)
| ! [X122] :
( ~ r1(X121,X122)
| p3(X122)
| p2(X122)
| p1(X122)
| ! [X123] : ~ r1(X122,X123) )
| ~ ( p3(X121)
| p2(X121)
| p1(X121)
| ! [X124] : ~ r1(X121,X124) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X125] : ~ r1(X0,X125)
| ~ ! [X126] :
( ~ r1(X0,X126)
| p2(X126)
| p1(X126)
| ! [X127] : ~ r1(X126,X127)
| ~ ! [X128] :
( ~ r1(X126,X128)
| ! [X129] :
( ~ r1(X128,X129)
| p2(X129)
| p1(X129)
| ! [X130] : ~ r1(X129,X130) )
| ~ ( p2(X128)
| p1(X128)
| ! [X131] : ~ r1(X128,X131) ) ) ) )
& ( p1(X0)
| ! [X132] : ~ r1(X0,X132)
| ~ ! [X133] :
( ~ r1(X0,X133)
| p1(X133)
| ! [X134] : ~ r1(X133,X134)
| ~ ! [X135] :
( ~ r1(X133,X135)
| ! [X136] :
( ~ r1(X135,X136)
| p1(X136)
| ! [X137] : ~ r1(X136,X137) )
| ~ ( p1(X135)
| ! [X138] : ~ r1(X135,X138) ) ) ) )
& ! [X139] :
( ~ r1(X0,X139)
| p2(X139)
| ~ ! [X140] :
( ~ r1(X139,X140)
| p2(X140)
| ~ ! [X141] :
( ~ r1(X140,X141)
| ! [X142] :
( ~ r1(X141,X142)
| p2(X142) )
| ~ p2(X141) ) ) ) ) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p3(X4) )
| ~ p3(X3) ) )
| ! [X5] :
( ~ r1(X0,X5)
| p2(X5) )
| ~ ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
| ~ p2(X7) ) )
| ! [X9] :
( ~ r1(X0,X9)
| p1(X9) )
| ~ ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12) )
| ~ p1(X11) ) )
| ~ ( ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p2(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ~ ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) )
| ~ ! [X22] :
( ~ r1(X0,X22)
| ( ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
| ~ ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) )
| ~ p2(X28) ) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
| ~ ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) )
| ~ p2(X36) ) ) )
| ~ ! [X38] :
( ~ r1(X33,X38)
| p2(X38)
| ~ ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ~ ! [X41] :
( ~ r1(X33,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) )
| ~ ( ( ! [X43] :
( ~ r1(X32,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X32)
| ~ ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) ) )
& ( p1(X0)
| ! [X52] :
( ~ r1(X0,X52)
| p4(X52)
| p3(X52)
| p2(X52)
| p1(X52)
| ! [X53] :
( ~ r1(X52,X53)
| p4(X53)
| p3(X53)
| p2(X53)
| p1(X53)
| ! [X54] : ~ r1(X53,X54) ) )
| ~ ! [X55] :
( ~ r1(X0,X55)
| p1(X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] :
( ~ r1(X56,X57)
| p4(X57)
| p3(X57)
| p2(X57)
| p1(X57)
| ! [X58] : ~ r1(X57,X58) ) )
| ~ ! [X59] :
( ~ r1(X55,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p1(X60)
| ! [X61] :
( ~ r1(X60,X61)
| p4(X61)
| p3(X61)
| p2(X61)
| p1(X61)
| ! [X62] :
( ~ r1(X61,X62)
| p4(X62)
| p3(X62)
| p2(X62)
| p1(X62)
| ! [X63] : ~ r1(X62,X63) ) ) )
| ~ ( p1(X59)
| ! [X64] :
( ~ r1(X59,X64)
| p4(X64)
| p3(X64)
| p2(X64)
| p1(X64)
| ! [X65] :
( ~ r1(X64,X65)
| p4(X65)
| p3(X65)
| p2(X65)
| p1(X65)
| ! [X66] : ~ r1(X65,X66) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X67] :
( ~ r1(X0,X67)
| p4(X67)
| p3(X67)
| p2(X67)
| p1(X67)
| ! [X68] : ~ r1(X67,X68) )
| ~ ! [X69] :
( ~ r1(X0,X69)
| p4(X69)
| p3(X69)
| p2(X69)
| p1(X69)
| ! [X70] :
( ~ r1(X69,X70)
| p4(X70)
| p3(X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ~ ! [X72] :
( ~ r1(X69,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p4(X73)
| p3(X73)
| p2(X73)
| p1(X73)
| ! [X74] :
( ~ r1(X73,X74)
| p4(X74)
| p3(X74)
| p2(X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75) ) )
| ~ ( p4(X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X76] :
( ~ r1(X72,X76)
| p4(X76)
| p3(X76)
| p2(X76)
| p1(X76)
| ! [X77] : ~ r1(X76,X77) ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X78] :
( ~ r1(X0,X78)
| p4(X78)
| p3(X78)
| p2(X78)
| p1(X78)
| ! [X79] : ~ r1(X78,X79) )
| ~ ! [X80] :
( ~ r1(X0,X80)
| p3(X80)
| p2(X80)
| p1(X80)
| ! [X81] :
( ~ r1(X80,X81)
| p4(X81)
| p3(X81)
| p2(X81)
| p1(X81)
| ! [X82] : ~ r1(X81,X82) )
| ~ ! [X83] :
( ~ r1(X80,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p3(X84)
| p2(X84)
| p1(X84)
| ! [X85] :
( ~ r1(X84,X85)
| p4(X85)
| p3(X85)
| p2(X85)
| p1(X85)
| ! [X86] : ~ r1(X85,X86) ) )
| ~ ( p3(X83)
| p2(X83)
| p1(X83)
| ! [X87] :
( ~ r1(X83,X87)
| p4(X87)
| p3(X87)
| p2(X87)
| p1(X87)
| ! [X88] : ~ r1(X87,X88) ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X89] :
( ~ r1(X0,X89)
| p4(X89)
| p3(X89)
| p2(X89)
| p1(X89)
| ! [X90] : ~ r1(X89,X90) )
| ~ ! [X91] :
( ~ r1(X0,X91)
| p2(X91)
| p1(X91)
| ! [X92] :
( ~ r1(X91,X92)
| p4(X92)
| p3(X92)
| p2(X92)
| p1(X92)
| ! [X93] : ~ r1(X92,X93) )
| ~ ! [X94] :
( ~ r1(X91,X94)
| ! [X95] :
( ~ r1(X94,X95)
| p2(X95)
| p1(X95)
| ! [X96] :
( ~ r1(X95,X96)
| p4(X96)
| p3(X96)
| p2(X96)
| p1(X96)
| ! [X97] : ~ r1(X96,X97) ) )
| ~ ( p2(X94)
| p1(X94)
| ! [X98] :
( ~ r1(X94,X98)
| p4(X98)
| p3(X98)
| p2(X98)
| p1(X98)
| ! [X99] : ~ r1(X98,X99) ) ) ) ) )
& ( p1(X0)
| ! [X100] :
( ~ r1(X0,X100)
| p4(X100)
| p3(X100)
| p2(X100)
| p1(X100)
| ! [X101] : ~ r1(X100,X101) )
| ~ ! [X102] :
( ~ r1(X0,X102)
| p1(X102)
| ! [X103] :
( ~ r1(X102,X103)
| p4(X103)
| p3(X103)
| p2(X103)
| p1(X103)
| ! [X104] : ~ r1(X103,X104) )
| ~ ! [X105] :
( ~ r1(X102,X105)
| ! [X106] :
( ~ r1(X105,X106)
| p1(X106)
| ! [X107] :
( ~ r1(X106,X107)
| p4(X107)
| p3(X107)
| p2(X107)
| p1(X107)
| ! [X108] : ~ r1(X107,X108) ) )
| ~ ( p1(X105)
| ! [X109] :
( ~ r1(X105,X109)
| p4(X109)
| p3(X109)
| p2(X109)
| p1(X109)
| ! [X110] : ~ r1(X109,X110) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X111] : ~ r1(X0,X111)
| ~ ! [X112] :
( ~ r1(X0,X112)
| p4(X112)
| p3(X112)
| p2(X112)
| p1(X112)
| ! [X113] : ~ r1(X112,X113)
| ~ ! [X114] :
( ~ r1(X112,X114)
| ! [X115] :
( ~ r1(X114,X115)
| p4(X115)
| p3(X115)
| p2(X115)
| p1(X115)
| ! [X116] : ~ r1(X115,X116) )
| ~ ( p4(X114)
| p3(X114)
| p2(X114)
| p1(X114)
| ! [X117] : ~ r1(X114,X117) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X118] : ~ r1(X0,X118)
| ~ ! [X119] :
( ~ r1(X0,X119)
| p3(X119)
| p2(X119)
| p1(X119)
| ! [X120] : ~ r1(X119,X120)
| ~ ! [X121] :
( ~ r1(X119,X121)
| ! [X122] :
( ~ r1(X121,X122)
| p3(X122)
| p2(X122)
| p1(X122)
| ! [X123] : ~ r1(X122,X123) )
| ~ ( p3(X121)
| p2(X121)
| p1(X121)
| ! [X124] : ~ r1(X121,X124) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X125] : ~ r1(X0,X125)
| ~ ! [X126] :
( ~ r1(X0,X126)
| p2(X126)
| p1(X126)
| ! [X127] : ~ r1(X126,X127)
| ~ ! [X128] :
( ~ r1(X126,X128)
| ! [X129] :
( ~ r1(X128,X129)
| p2(X129)
| p1(X129)
| ! [X130] : ~ r1(X129,X130) )
| ~ ( p2(X128)
| p1(X128)
| ! [X131] : ~ r1(X128,X131) ) ) ) )
& ( p1(X0)
| ! [X132] : ~ r1(X0,X132)
| ~ ! [X133] :
( ~ r1(X0,X133)
| p1(X133)
| ! [X134] : ~ r1(X133,X134)
| ~ ! [X135] :
( ~ r1(X133,X135)
| ! [X136] :
( ~ r1(X135,X136)
| p1(X136)
| ! [X137] : ~ r1(X136,X137) )
| ~ ( p1(X135)
| ! [X138] : ~ r1(X135,X138) ) ) ) )
& ! [X139] :
( ~ r1(X0,X139)
| p2(X139)
| ~ ! [X140] :
( ~ r1(X139,X140)
| p2(X140)
| ~ ! [X141] :
( ~ r1(X140,X141)
| ! [X142] :
( ~ r1(X141,X142)
| p2(X142) )
| ~ p2(X141) ) ) ) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ? [X22] :
( r1(X0,X22)
& ( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ( ~ p2(X22)
& ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
& ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ? [X36] :
( r1(X35,X36)
& ? [X37] :
( r1(X36,X37)
& ~ p2(X37) )
& p2(X36) ) ) )
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ( ~ p2(X32)
& ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) )
& ( p1(X0)
| ! [X52] :
( ~ r1(X0,X52)
| p4(X52)
| p3(X52)
| p2(X52)
| p1(X52)
| ! [X53] :
( ~ r1(X52,X53)
| p4(X53)
| p3(X53)
| p2(X53)
| p1(X53)
| ! [X54] : ~ r1(X53,X54) ) )
| ? [X55] :
( r1(X0,X55)
& ~ p1(X55)
& ? [X56] :
( r1(X55,X56)
& ~ p4(X56)
& ~ p3(X56)
& ~ p2(X56)
& ~ p1(X56)
& ? [X57] :
( r1(X56,X57)
& ~ p4(X57)
& ~ p3(X57)
& ~ p2(X57)
& ~ p1(X57)
& ? [X58] : r1(X57,X58) ) )
& ! [X59] :
( ~ r1(X55,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p1(X60)
| ! [X61] :
( ~ r1(X60,X61)
| p4(X61)
| p3(X61)
| p2(X61)
| p1(X61)
| ! [X62] :
( ~ r1(X61,X62)
| p4(X62)
| p3(X62)
| p2(X62)
| p1(X62)
| ! [X63] : ~ r1(X62,X63) ) ) )
| ( ~ p1(X59)
& ? [X64] :
( r1(X59,X64)
& ~ p4(X64)
& ~ p3(X64)
& ~ p2(X64)
& ~ p1(X64)
& ? [X65] :
( r1(X64,X65)
& ~ p4(X65)
& ~ p3(X65)
& ~ p2(X65)
& ~ p1(X65)
& ? [X66] : r1(X65,X66) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X67] :
( ~ r1(X0,X67)
| p4(X67)
| p3(X67)
| p2(X67)
| p1(X67)
| ! [X68] : ~ r1(X67,X68) )
| ? [X69] :
( r1(X0,X69)
& ~ p4(X69)
& ~ p3(X69)
& ~ p2(X69)
& ~ p1(X69)
& ? [X70] :
( r1(X69,X70)
& ~ p4(X70)
& ~ p3(X70)
& ~ p2(X70)
& ~ p1(X70)
& ? [X71] : r1(X70,X71) )
& ! [X72] :
( ~ r1(X69,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p4(X73)
| p3(X73)
| p2(X73)
| p1(X73)
| ! [X74] :
( ~ r1(X73,X74)
| p4(X74)
| p3(X74)
| p2(X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75) ) )
| ( ~ p4(X72)
& ~ p3(X72)
& ~ p2(X72)
& ~ p1(X72)
& ? [X76] :
( r1(X72,X76)
& ~ p4(X76)
& ~ p3(X76)
& ~ p2(X76)
& ~ p1(X76)
& ? [X77] : r1(X76,X77) ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X78] :
( ~ r1(X0,X78)
| p4(X78)
| p3(X78)
| p2(X78)
| p1(X78)
| ! [X79] : ~ r1(X78,X79) )
| ? [X80] :
( r1(X0,X80)
& ~ p3(X80)
& ~ p2(X80)
& ~ p1(X80)
& ? [X81] :
( r1(X80,X81)
& ~ p4(X81)
& ~ p3(X81)
& ~ p2(X81)
& ~ p1(X81)
& ? [X82] : r1(X81,X82) )
& ! [X83] :
( ~ r1(X80,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p3(X84)
| p2(X84)
| p1(X84)
| ! [X85] :
( ~ r1(X84,X85)
| p4(X85)
| p3(X85)
| p2(X85)
| p1(X85)
| ! [X86] : ~ r1(X85,X86) ) )
| ( ~ p3(X83)
& ~ p2(X83)
& ~ p1(X83)
& ? [X87] :
( r1(X83,X87)
& ~ p4(X87)
& ~ p3(X87)
& ~ p2(X87)
& ~ p1(X87)
& ? [X88] : r1(X87,X88) ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X89] :
( ~ r1(X0,X89)
| p4(X89)
| p3(X89)
| p2(X89)
| p1(X89)
| ! [X90] : ~ r1(X89,X90) )
| ? [X91] :
( r1(X0,X91)
& ~ p2(X91)
& ~ p1(X91)
& ? [X92] :
( r1(X91,X92)
& ~ p4(X92)
& ~ p3(X92)
& ~ p2(X92)
& ~ p1(X92)
& ? [X93] : r1(X92,X93) )
& ! [X94] :
( ~ r1(X91,X94)
| ! [X95] :
( ~ r1(X94,X95)
| p2(X95)
| p1(X95)
| ! [X96] :
( ~ r1(X95,X96)
| p4(X96)
| p3(X96)
| p2(X96)
| p1(X96)
| ! [X97] : ~ r1(X96,X97) ) )
| ( ~ p2(X94)
& ~ p1(X94)
& ? [X98] :
( r1(X94,X98)
& ~ p4(X98)
& ~ p3(X98)
& ~ p2(X98)
& ~ p1(X98)
& ? [X99] : r1(X98,X99) ) ) ) ) )
& ( p1(X0)
| ! [X100] :
( ~ r1(X0,X100)
| p4(X100)
| p3(X100)
| p2(X100)
| p1(X100)
| ! [X101] : ~ r1(X100,X101) )
| ? [X102] :
( r1(X0,X102)
& ~ p1(X102)
& ? [X103] :
( r1(X102,X103)
& ~ p4(X103)
& ~ p3(X103)
& ~ p2(X103)
& ~ p1(X103)
& ? [X104] : r1(X103,X104) )
& ! [X105] :
( ~ r1(X102,X105)
| ! [X106] :
( ~ r1(X105,X106)
| p1(X106)
| ! [X107] :
( ~ r1(X106,X107)
| p4(X107)
| p3(X107)
| p2(X107)
| p1(X107)
| ! [X108] : ~ r1(X107,X108) ) )
| ( ~ p1(X105)
& ? [X109] :
( r1(X105,X109)
& ~ p4(X109)
& ~ p3(X109)
& ~ p2(X109)
& ~ p1(X109)
& ? [X110] : r1(X109,X110) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X111] : ~ r1(X0,X111)
| ? [X112] :
( r1(X0,X112)
& ~ p4(X112)
& ~ p3(X112)
& ~ p2(X112)
& ~ p1(X112)
& ? [X113] : r1(X112,X113)
& ! [X114] :
( ~ r1(X112,X114)
| ! [X115] :
( ~ r1(X114,X115)
| p4(X115)
| p3(X115)
| p2(X115)
| p1(X115)
| ! [X116] : ~ r1(X115,X116) )
| ( ~ p4(X114)
& ~ p3(X114)
& ~ p2(X114)
& ~ p1(X114)
& ? [X117] : r1(X114,X117) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X118] : ~ r1(X0,X118)
| ? [X119] :
( r1(X0,X119)
& ~ p3(X119)
& ~ p2(X119)
& ~ p1(X119)
& ? [X120] : r1(X119,X120)
& ! [X121] :
( ~ r1(X119,X121)
| ! [X122] :
( ~ r1(X121,X122)
| p3(X122)
| p2(X122)
| p1(X122)
| ! [X123] : ~ r1(X122,X123) )
| ( ~ p3(X121)
& ~ p2(X121)
& ~ p1(X121)
& ? [X124] : r1(X121,X124) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X125] : ~ r1(X0,X125)
| ? [X126] :
( r1(X0,X126)
& ~ p2(X126)
& ~ p1(X126)
& ? [X127] : r1(X126,X127)
& ! [X128] :
( ~ r1(X126,X128)
| ! [X129] :
( ~ r1(X128,X129)
| p2(X129)
| p1(X129)
| ! [X130] : ~ r1(X129,X130) )
| ( ~ p2(X128)
& ~ p1(X128)
& ? [X131] : r1(X128,X131) ) ) ) )
& ( p1(X0)
| ! [X132] : ~ r1(X0,X132)
| ? [X133] :
( r1(X0,X133)
& ~ p1(X133)
& ? [X134] : r1(X133,X134)
& ! [X135] :
( ~ r1(X133,X135)
| ! [X136] :
( ~ r1(X135,X136)
| p1(X136)
| ! [X137] : ~ r1(X136,X137) )
| ( ~ p1(X135)
& ? [X138] : r1(X135,X138) ) ) ) )
& ! [X139] :
( ~ r1(X0,X139)
| p2(X139)
| ? [X140] :
( r1(X139,X140)
& ~ p2(X140)
& ! [X141] :
( ~ r1(X140,X141)
| ! [X142] :
( ~ r1(X141,X142)
| p2(X142) )
| ~ p2(X141) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ? [X22] :
( r1(X0,X22)
& ( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ( ~ p2(X22)
& ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
& ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ? [X36] :
( r1(X35,X36)
& ? [X37] :
( r1(X36,X37)
& ~ p2(X37) )
& p2(X36) ) ) )
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ( ~ p2(X32)
& ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) )
& ( p1(X0)
| ! [X52] :
( ~ r1(X0,X52)
| p4(X52)
| p3(X52)
| p2(X52)
| p1(X52)
| ! [X53] :
( ~ r1(X52,X53)
| p4(X53)
| p3(X53)
| p2(X53)
| p1(X53)
| ! [X54] : ~ r1(X53,X54) ) )
| ? [X55] :
( r1(X0,X55)
& ~ p1(X55)
& ? [X56] :
( r1(X55,X56)
& ~ p4(X56)
& ~ p3(X56)
& ~ p2(X56)
& ~ p1(X56)
& ? [X57] :
( r1(X56,X57)
& ~ p4(X57)
& ~ p3(X57)
& ~ p2(X57)
& ~ p1(X57)
& ? [X58] : r1(X57,X58) ) )
& ! [X59] :
( ~ r1(X55,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p1(X60)
| ! [X61] :
( ~ r1(X60,X61)
| p4(X61)
| p3(X61)
| p2(X61)
| p1(X61)
| ! [X62] :
( ~ r1(X61,X62)
| p4(X62)
| p3(X62)
| p2(X62)
| p1(X62)
| ! [X63] : ~ r1(X62,X63) ) ) )
| ( ~ p1(X59)
& ? [X64] :
( r1(X59,X64)
& ~ p4(X64)
& ~ p3(X64)
& ~ p2(X64)
& ~ p1(X64)
& ? [X65] :
( r1(X64,X65)
& ~ p4(X65)
& ~ p3(X65)
& ~ p2(X65)
& ~ p1(X65)
& ? [X66] : r1(X65,X66) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X67] :
( ~ r1(X0,X67)
| p4(X67)
| p3(X67)
| p2(X67)
| p1(X67)
| ! [X68] : ~ r1(X67,X68) )
| ? [X69] :
( r1(X0,X69)
& ~ p4(X69)
& ~ p3(X69)
& ~ p2(X69)
& ~ p1(X69)
& ? [X70] :
( r1(X69,X70)
& ~ p4(X70)
& ~ p3(X70)
& ~ p2(X70)
& ~ p1(X70)
& ? [X71] : r1(X70,X71) )
& ! [X72] :
( ~ r1(X69,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p4(X73)
| p3(X73)
| p2(X73)
| p1(X73)
| ! [X74] :
( ~ r1(X73,X74)
| p4(X74)
| p3(X74)
| p2(X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75) ) )
| ( ~ p4(X72)
& ~ p3(X72)
& ~ p2(X72)
& ~ p1(X72)
& ? [X76] :
( r1(X72,X76)
& ~ p4(X76)
& ~ p3(X76)
& ~ p2(X76)
& ~ p1(X76)
& ? [X77] : r1(X76,X77) ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X78] :
( ~ r1(X0,X78)
| p4(X78)
| p3(X78)
| p2(X78)
| p1(X78)
| ! [X79] : ~ r1(X78,X79) )
| ? [X80] :
( r1(X0,X80)
& ~ p3(X80)
& ~ p2(X80)
& ~ p1(X80)
& ? [X81] :
( r1(X80,X81)
& ~ p4(X81)
& ~ p3(X81)
& ~ p2(X81)
& ~ p1(X81)
& ? [X82] : r1(X81,X82) )
& ! [X83] :
( ~ r1(X80,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p3(X84)
| p2(X84)
| p1(X84)
| ! [X85] :
( ~ r1(X84,X85)
| p4(X85)
| p3(X85)
| p2(X85)
| p1(X85)
| ! [X86] : ~ r1(X85,X86) ) )
| ( ~ p3(X83)
& ~ p2(X83)
& ~ p1(X83)
& ? [X87] :
( r1(X83,X87)
& ~ p4(X87)
& ~ p3(X87)
& ~ p2(X87)
& ~ p1(X87)
& ? [X88] : r1(X87,X88) ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X89] :
( ~ r1(X0,X89)
| p4(X89)
| p3(X89)
| p2(X89)
| p1(X89)
| ! [X90] : ~ r1(X89,X90) )
| ? [X91] :
( r1(X0,X91)
& ~ p2(X91)
& ~ p1(X91)
& ? [X92] :
( r1(X91,X92)
& ~ p4(X92)
& ~ p3(X92)
& ~ p2(X92)
& ~ p1(X92)
& ? [X93] : r1(X92,X93) )
& ! [X94] :
( ~ r1(X91,X94)
| ! [X95] :
( ~ r1(X94,X95)
| p2(X95)
| p1(X95)
| ! [X96] :
( ~ r1(X95,X96)
| p4(X96)
| p3(X96)
| p2(X96)
| p1(X96)
| ! [X97] : ~ r1(X96,X97) ) )
| ( ~ p2(X94)
& ~ p1(X94)
& ? [X98] :
( r1(X94,X98)
& ~ p4(X98)
& ~ p3(X98)
& ~ p2(X98)
& ~ p1(X98)
& ? [X99] : r1(X98,X99) ) ) ) ) )
& ( p1(X0)
| ! [X100] :
( ~ r1(X0,X100)
| p4(X100)
| p3(X100)
| p2(X100)
| p1(X100)
| ! [X101] : ~ r1(X100,X101) )
| ? [X102] :
( r1(X0,X102)
& ~ p1(X102)
& ? [X103] :
( r1(X102,X103)
& ~ p4(X103)
& ~ p3(X103)
& ~ p2(X103)
& ~ p1(X103)
& ? [X104] : r1(X103,X104) )
& ! [X105] :
( ~ r1(X102,X105)
| ! [X106] :
( ~ r1(X105,X106)
| p1(X106)
| ! [X107] :
( ~ r1(X106,X107)
| p4(X107)
| p3(X107)
| p2(X107)
| p1(X107)
| ! [X108] : ~ r1(X107,X108) ) )
| ( ~ p1(X105)
& ? [X109] :
( r1(X105,X109)
& ~ p4(X109)
& ~ p3(X109)
& ~ p2(X109)
& ~ p1(X109)
& ? [X110] : r1(X109,X110) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X111] : ~ r1(X0,X111)
| ? [X112] :
( r1(X0,X112)
& ~ p4(X112)
& ~ p3(X112)
& ~ p2(X112)
& ~ p1(X112)
& ? [X113] : r1(X112,X113)
& ! [X114] :
( ~ r1(X112,X114)
| ! [X115] :
( ~ r1(X114,X115)
| p4(X115)
| p3(X115)
| p2(X115)
| p1(X115)
| ! [X116] : ~ r1(X115,X116) )
| ( ~ p4(X114)
& ~ p3(X114)
& ~ p2(X114)
& ~ p1(X114)
& ? [X117] : r1(X114,X117) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X118] : ~ r1(X0,X118)
| ? [X119] :
( r1(X0,X119)
& ~ p3(X119)
& ~ p2(X119)
& ~ p1(X119)
& ? [X120] : r1(X119,X120)
& ! [X121] :
( ~ r1(X119,X121)
| ! [X122] :
( ~ r1(X121,X122)
| p3(X122)
| p2(X122)
| p1(X122)
| ! [X123] : ~ r1(X122,X123) )
| ( ~ p3(X121)
& ~ p2(X121)
& ~ p1(X121)
& ? [X124] : r1(X121,X124) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X125] : ~ r1(X0,X125)
| ? [X126] :
( r1(X0,X126)
& ~ p2(X126)
& ~ p1(X126)
& ? [X127] : r1(X126,X127)
& ! [X128] :
( ~ r1(X126,X128)
| ! [X129] :
( ~ r1(X128,X129)
| p2(X129)
| p1(X129)
| ! [X130] : ~ r1(X129,X130) )
| ( ~ p2(X128)
& ~ p1(X128)
& ? [X131] : r1(X128,X131) ) ) ) )
& ( p1(X0)
| ! [X132] : ~ r1(X0,X132)
| ? [X133] :
( r1(X0,X133)
& ~ p1(X133)
& ? [X134] : r1(X133,X134)
& ! [X135] :
( ~ r1(X133,X135)
| ! [X136] :
( ~ r1(X135,X136)
| p1(X136)
| ! [X137] : ~ r1(X136,X137) )
| ( ~ p1(X135)
& ? [X138] : r1(X135,X138) ) ) ) )
& ! [X139] :
( ~ r1(X0,X139)
| p2(X139)
| ? [X140] :
( r1(X139,X140)
& ~ p2(X140)
& ! [X141] :
( ~ r1(X140,X141)
| ! [X142] :
( ~ r1(X141,X142)
| p2(X142) )
| ~ p2(X141) ) ) ) ),
inference(flattening,[],[f6]) ).
fof(f8,definition,
! [X119] :
( ! [X121] :
( ~ r1(X119,X121)
| ! [X122] :
( ~ r1(X121,X122)
| p3(X122)
| p2(X122)
| p1(X122)
| ! [X123] : ~ r1(X122,X123) )
| ( ~ p3(X121)
& ~ p2(X121)
& ~ p1(X121)
& ? [X124] : r1(X121,X124) ) )
| ~ sP0(X119) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [X112] :
( ! [X114] :
( ~ r1(X112,X114)
| ! [X115] :
( ~ r1(X114,X115)
| p4(X115)
| p3(X115)
| p2(X115)
| p1(X115)
| ! [X116] : ~ r1(X115,X116) )
| ( ~ p4(X114)
& ~ p3(X114)
& ~ p2(X114)
& ~ p1(X114)
& ? [X117] : r1(X114,X117) ) )
| ~ sP1(X112) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X102] :
( ! [X105] :
( ~ r1(X102,X105)
| ! [X106] :
( ~ r1(X105,X106)
| p1(X106)
| ! [X107] :
( ~ r1(X106,X107)
| p4(X107)
| p3(X107)
| p2(X107)
| p1(X107)
| ! [X108] : ~ r1(X107,X108) ) )
| ( ~ p1(X105)
& ? [X109] :
( r1(X105,X109)
& ~ p4(X109)
& ~ p3(X109)
& ~ p2(X109)
& ~ p1(X109)
& ? [X110] : r1(X109,X110) ) ) )
| ~ sP2(X102) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X102] :
( ? [X103] :
( r1(X102,X103)
& ~ p4(X103)
& ~ p3(X103)
& ~ p2(X103)
& ~ p1(X103)
& ? [X104] : r1(X103,X104) )
| ~ sP3(X102) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X91] :
( ! [X94] :
( ~ r1(X91,X94)
| ! [X95] :
( ~ r1(X94,X95)
| p2(X95)
| p1(X95)
| ! [X96] :
( ~ r1(X95,X96)
| p4(X96)
| p3(X96)
| p2(X96)
| p1(X96)
| ! [X97] : ~ r1(X96,X97) ) )
| ( ~ p2(X94)
& ~ p1(X94)
& ? [X98] :
( r1(X94,X98)
& ~ p4(X98)
& ~ p3(X98)
& ~ p2(X98)
& ~ p1(X98)
& ? [X99] : r1(X98,X99) ) ) )
| ~ sP4(X91) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X91] :
( ? [X92] :
( r1(X91,X92)
& ~ p4(X92)
& ~ p3(X92)
& ~ p2(X92)
& ~ p1(X92)
& ? [X93] : r1(X92,X93) )
| ~ sP5(X91) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X83] :
( ? [X87] :
( r1(X83,X87)
& ~ p4(X87)
& ~ p3(X87)
& ~ p2(X87)
& ~ p1(X87)
& ? [X88] : r1(X87,X88) )
| ~ sP6(X83) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X80] :
( ? [X81] :
( r1(X80,X81)
& ~ p4(X81)
& ~ p3(X81)
& ~ p2(X81)
& ~ p1(X81)
& ? [X82] : r1(X81,X82) )
| ~ sP7(X80) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X80] :
( ! [X83] :
( ~ r1(X80,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p3(X84)
| p2(X84)
| p1(X84)
| ! [X85] :
( ~ r1(X84,X85)
| p4(X85)
| p3(X85)
| p2(X85)
| p1(X85)
| ! [X86] : ~ r1(X85,X86) ) )
| ( ~ p3(X83)
& ~ p2(X83)
& ~ p1(X83)
& sP6(X83) ) )
| ~ sP8(X80) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X72] :
( ? [X76] :
( r1(X72,X76)
& ~ p4(X76)
& ~ p3(X76)
& ~ p2(X76)
& ~ p1(X76)
& ? [X77] : r1(X76,X77) )
| ~ sP9(X72) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X69] :
( ? [X70] :
( r1(X69,X70)
& ~ p4(X70)
& ~ p3(X70)
& ~ p2(X70)
& ~ p1(X70)
& ? [X71] : r1(X70,X71) )
| ~ sP10(X69) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X69] :
( ! [X72] :
( ~ r1(X69,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p4(X73)
| p3(X73)
| p2(X73)
| p1(X73)
| ! [X74] :
( ~ r1(X73,X74)
| p4(X74)
| p3(X74)
| p2(X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75) ) )
| ( ~ p4(X72)
& ~ p3(X72)
& ~ p2(X72)
& ~ p1(X72)
& sP9(X72) ) )
| ~ sP11(X69) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X64] :
( ? [X65] :
( r1(X64,X65)
& ~ p4(X65)
& ~ p3(X65)
& ~ p2(X65)
& ~ p1(X65)
& ? [X66] : r1(X65,X66) )
| ~ sP12(X64) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f21,definition,
! [X56] :
( ? [X57] :
( r1(X56,X57)
& ~ p4(X57)
& ~ p3(X57)
& ~ p2(X57)
& ~ p1(X57)
& ? [X58] : r1(X57,X58) )
| ~ sP13(X56) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f22,definition,
! [X55] :
( ! [X59] :
( ~ r1(X55,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p1(X60)
| ! [X61] :
( ~ r1(X60,X61)
| p4(X61)
| p3(X61)
| p2(X61)
| p1(X61)
| ! [X62] :
( ~ r1(X61,X62)
| p4(X62)
| p3(X62)
| p2(X62)
| p1(X62)
| ! [X63] : ~ r1(X62,X63) ) ) )
| ( ~ p1(X59)
& ? [X64] :
( r1(X59,X64)
& ~ p4(X64)
& ~ p3(X64)
& ~ p2(X64)
& ~ p1(X64)
& sP12(X64) ) ) )
| ~ sP14(X55) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X55] :
( ? [X56] :
( r1(X55,X56)
& ~ p4(X56)
& ~ p3(X56)
& ~ p2(X56)
& ~ p1(X56)
& sP13(X56) )
| ~ sP15(X55) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f24,definition,
! [X33] :
( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ? [X36] :
( r1(X35,X36)
& ? [X37] :
( r1(X36,X37)
& ~ p2(X37) )
& p2(X36) ) ) )
| ~ sP16(X33) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f25,definition,
! [X32] :
( ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ~ sP17(X32) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f26,definition,
! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ( sP16(X33)
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ~ sP18(X32) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f27,definition,
! [X22] :
( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ~ sP19(X22) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f28,definition,
! [X0] :
( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ~ sP20(X0) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f29,definition,
! [X0] :
( ( ( sP20(X0)
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ~ sP21(X0) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f30,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( sP21(X0)
| ? [X22] :
( r1(X0,X22)
& ( sP19(X22)
| ( ~ p2(X22)
& ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
& ! [X32] :
( ~ r1(X22,X32)
| sP18(X32)
| sP17(X32)
| ( ~ p2(X32)
& ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) )
& ( p1(X0)
| ! [X52] :
( ~ r1(X0,X52)
| p4(X52)
| p3(X52)
| p2(X52)
| p1(X52)
| ! [X53] :
( ~ r1(X52,X53)
| p4(X53)
| p3(X53)
| p2(X53)
| p1(X53)
| ! [X54] : ~ r1(X53,X54) ) )
| ? [X55] :
( r1(X0,X55)
& ~ p1(X55)
& sP15(X55)
& sP14(X55) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X67] :
( ~ r1(X0,X67)
| p4(X67)
| p3(X67)
| p2(X67)
| p1(X67)
| ! [X68] : ~ r1(X67,X68) )
| ? [X69] :
( r1(X0,X69)
& ~ p4(X69)
& ~ p3(X69)
& ~ p2(X69)
& ~ p1(X69)
& sP10(X69)
& sP11(X69) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X78] :
( ~ r1(X0,X78)
| p4(X78)
| p3(X78)
| p2(X78)
| p1(X78)
| ! [X79] : ~ r1(X78,X79) )
| ? [X80] :
( r1(X0,X80)
& ~ p3(X80)
& ~ p2(X80)
& ~ p1(X80)
& sP7(X80)
& sP8(X80) ) )
& ( p2(X0)
| p1(X0)
| ! [X89] :
( ~ r1(X0,X89)
| p4(X89)
| p3(X89)
| p2(X89)
| p1(X89)
| ! [X90] : ~ r1(X89,X90) )
| ? [X91] :
( r1(X0,X91)
& ~ p2(X91)
& ~ p1(X91)
& sP5(X91)
& sP4(X91) ) )
& ( p1(X0)
| ! [X100] :
( ~ r1(X0,X100)
| p4(X100)
| p3(X100)
| p2(X100)
| p1(X100)
| ! [X101] : ~ r1(X100,X101) )
| ? [X102] :
( r1(X0,X102)
& ~ p1(X102)
& sP3(X102)
& sP2(X102) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X111] : ~ r1(X0,X111)
| ? [X112] :
( r1(X0,X112)
& ~ p4(X112)
& ~ p3(X112)
& ~ p2(X112)
& ~ p1(X112)
& ? [X113] : r1(X112,X113)
& sP1(X112) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X118] : ~ r1(X0,X118)
| ? [X119] :
( r1(X0,X119)
& ~ p3(X119)
& ~ p2(X119)
& ~ p1(X119)
& ? [X120] : r1(X119,X120)
& sP0(X119) ) )
& ( p2(X0)
| p1(X0)
| ! [X125] : ~ r1(X0,X125)
| ? [X126] :
( r1(X0,X126)
& ~ p2(X126)
& ~ p1(X126)
& ? [X127] : r1(X126,X127)
& ! [X128] :
( ~ r1(X126,X128)
| ! [X129] :
( ~ r1(X128,X129)
| p2(X129)
| p1(X129)
| ! [X130] : ~ r1(X129,X130) )
| ( ~ p2(X128)
& ~ p1(X128)
& ? [X131] : r1(X128,X131) ) ) ) )
& ( p1(X0)
| ! [X132] : ~ r1(X0,X132)
| ? [X133] :
( r1(X0,X133)
& ~ p1(X133)
& ? [X134] : r1(X133,X134)
& ! [X135] :
( ~ r1(X133,X135)
| ! [X136] :
( ~ r1(X135,X136)
| p1(X136)
| ! [X137] : ~ r1(X136,X137) )
| ( ~ p1(X135)
& ? [X138] : r1(X135,X138) ) ) ) )
& ! [X139] :
( ~ r1(X0,X139)
| p2(X139)
| ? [X140] :
( r1(X139,X140)
& ~ p2(X140)
& ! [X141] :
( ~ r1(X140,X141)
| ! [X142] :
( ~ r1(X141,X142)
| p2(X142) )
| ~ p2(X141) ) ) ) ),
inference(definition_folding,[],[f7,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f31,plain,
! [X0] :
( ( ( sP20(X0)
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ~ sP21(X0) ),
inference(nnf_transformation,[],[f29]) ).
fof(f32,plain,
! [X0] :
( ( ( sP20(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p2(X1)
& ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ p2(X2) ) ) )
& ( p2(X0)
| ? [X4] :
( r1(X0,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p2(X5) )
& p2(X4) ) ) )
| ~ sP21(X0) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0] :
( ( ( sP20(X0)
| ( r1(X0,sK22(X0))
& ~ p2(sK22(X0))
& ! [X2] :
( ~ r1(sK22(X0),X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ p2(X2) ) ) )
& ( p2(X0)
| ( r1(X0,sK23(X0))
& r1(sK23(X0),sK24(X0))
& ~ p2(sK24(X0))
& p2(sK23(X0)) ) ) )
| ~ sP21(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24]),skolemize(X1,sK22(X0)),skolemize(X4,sK23(X0)),skolemize(X5,sK24(X0))],[f32]) ).
fof(f34,plain,
! [X0] :
( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ~ sP20(X0) ),
inference(nnf_transformation,[],[f28]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) ) ) )
| ~ sP20(X0) ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ( r1(X2,sK25(X2))
& r1(sK25(X2),sK26(X2))
& ~ p2(sK26(X2))
& p2(sK25(X2)) ) ) )
| ~ sP20(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X3,sK25(X2)),skolemize(X4,sK26(X2))],[f35]) ).
fof(f37,plain,
! [X22] :
( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ~ sP19(X22) ),
inference(nnf_transformation,[],[f27]) ).
fof(f38,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) )
| ~ sP19(X0) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
! [X0] :
( ( r1(X0,sK27(X0))
& r1(sK27(X0),sK28(X0))
& ~ p2(sK28(X0))
& ! [X3] :
( ~ r1(sK28(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ( r1(X5,sK29(X5))
& r1(sK29(X5),sK30(X5))
& ~ p2(sK30(X5))
& p2(sK29(X5)) ) ) )
| ~ sP19(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27,sK28,sK29,sK30]),skolemize(X1,sK27(X0)),skolemize(X2,sK28(X0)),skolemize(X6,sK29(X5)),skolemize(X7,sK30(X5))],[f38]) ).
fof(f40,plain,
! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ( sP16(X33)
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ~ sP18(X32) ),
inference(nnf_transformation,[],[f26]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( sP16(X1)
| ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ( p2(X1)
| ? [X5] :
( r1(X1,X5)
& ? [X6] :
( r1(X5,X6)
& ~ p2(X6) )
& p2(X5) ) ) ) )
| ~ sP18(X0) ),
inference(rectify,[],[f40]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( sP16(X1)
| ( r1(X1,sK31(X1))
& ~ p2(sK31(X1))
& ! [X3] :
( ~ r1(sK31(X1),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ( p2(X1)
| ( r1(X1,sK32(X1))
& r1(sK32(X1),sK33(X1))
& ~ p2(sK33(X1))
& p2(sK32(X1)) ) ) ) )
| ~ sP18(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32,sK33]),skolemize(X2,sK31(X1)),skolemize(X5,sK32(X1)),skolemize(X6,sK33(X1))],[f41]) ).
fof(f43,plain,
! [X32] :
( ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ~ sP17(X32) ),
inference(nnf_transformation,[],[f25]) ).
fof(f44,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) )
| ~ sP17(X0) ),
inference(rectify,[],[f43]) ).
fof(f45,plain,
! [X0] :
( ( r1(X0,sK34(X0))
& r1(sK34(X0),sK35(X0))
& ~ p2(sK35(X0))
& ! [X3] :
( ~ r1(sK35(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ( r1(X5,sK36(X5))
& r1(sK36(X5),sK37(X5))
& ~ p2(sK37(X5))
& p2(sK36(X5)) ) ) )
| ~ sP17(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37]),skolemize(X1,sK34(X0)),skolemize(X2,sK35(X0)),skolemize(X6,sK36(X5)),skolemize(X7,sK37(X5))],[f44]) ).
fof(f95,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( sP21(X0)
| ? [X13] :
( r1(X0,X13)
& ( sP19(X13)
| ( ~ p2(X13)
& ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14) ) ) )
& ! [X16] :
( ~ r1(X13,X16)
| sP18(X16)
| sP17(X16)
| ( ~ p2(X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) ) ) ) ) )
& ( p1(X0)
| ! [X19] :
( ~ r1(X0,X19)
| p4(X19)
| p3(X19)
| p2(X19)
| p1(X19)
| ! [X20] :
( ~ r1(X19,X20)
| p4(X20)
| p3(X20)
| p2(X20)
| p1(X20)
| ! [X21] : ~ r1(X20,X21) ) )
| ? [X22] :
( r1(X0,X22)
& ~ p1(X22)
& sP15(X22)
& sP14(X22) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X23] :
( ~ r1(X0,X23)
| p4(X23)
| p3(X23)
| p2(X23)
| p1(X23)
| ! [X24] : ~ r1(X23,X24) )
| ? [X25] :
( r1(X0,X25)
& ~ p4(X25)
& ~ p3(X25)
& ~ p2(X25)
& ~ p1(X25)
& sP10(X25)
& sP11(X25) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X26] :
( ~ r1(X0,X26)
| p4(X26)
| p3(X26)
| p2(X26)
| p1(X26)
| ! [X27] : ~ r1(X26,X27) )
| ? [X28] :
( r1(X0,X28)
& ~ p3(X28)
& ~ p2(X28)
& ~ p1(X28)
& sP7(X28)
& sP8(X28) ) )
& ( p2(X0)
| p1(X0)
| ! [X29] :
( ~ r1(X0,X29)
| p4(X29)
| p3(X29)
| p2(X29)
| p1(X29)
| ! [X30] : ~ r1(X29,X30) )
| ? [X31] :
( r1(X0,X31)
& ~ p2(X31)
& ~ p1(X31)
& sP5(X31)
& sP4(X31) ) )
& ( p1(X0)
| ! [X32] :
( ~ r1(X0,X32)
| p4(X32)
| p3(X32)
| p2(X32)
| p1(X32)
| ! [X33] : ~ r1(X32,X33) )
| ? [X34] :
( r1(X0,X34)
& ~ p1(X34)
& sP3(X34)
& sP2(X34) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X35] : ~ r1(X0,X35)
| ? [X36] :
( r1(X0,X36)
& ~ p4(X36)
& ~ p3(X36)
& ~ p2(X36)
& ~ p1(X36)
& ? [X37] : r1(X36,X37)
& sP1(X36) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X38] : ~ r1(X0,X38)
| ? [X39] :
( r1(X0,X39)
& ~ p3(X39)
& ~ p2(X39)
& ~ p1(X39)
& ? [X40] : r1(X39,X40)
& sP0(X39) ) )
& ( p2(X0)
| p1(X0)
| ! [X41] : ~ r1(X0,X41)
| ? [X42] :
( r1(X0,X42)
& ~ p2(X42)
& ~ p1(X42)
& ? [X43] : r1(X42,X43)
& ! [X44] :
( ~ r1(X42,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45)
| p1(X45)
| ! [X46] : ~ r1(X45,X46) )
| ( ~ p2(X44)
& ~ p1(X44)
& ? [X47] : r1(X44,X47) ) ) ) )
& ( p1(X0)
| ! [X48] : ~ r1(X0,X48)
| ? [X49] :
( r1(X0,X49)
& ~ p1(X49)
& ? [X50] : r1(X49,X50)
& ! [X51] :
( ~ r1(X49,X51)
| ! [X52] :
( ~ r1(X51,X52)
| p1(X52)
| ! [X53] : ~ r1(X52,X53) )
| ( ~ p1(X51)
& ? [X54] : r1(X51,X54) ) ) ) )
& ! [X55] :
( ~ r1(X0,X55)
| p2(X55)
| ? [X56] :
( r1(X55,X56)
& ~ p2(X56)
& ! [X57] :
( ~ r1(X56,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) ) ),
inference(rectify,[],[f30]) ).
fof(f96,plain,
( r1(sK64,sK65)
& ~ p3(sK65)
& ! [X2] :
( ~ r1(sK64,X2)
| p3(X2)
| ( r1(X2,sK66(X2))
& r1(sK66(X2),sK67(X2))
& ~ p3(sK67(X2))
& p3(sK66(X2)) ) )
& r1(sK64,sK68)
& ~ p2(sK68)
& ! [X6] :
( ~ r1(sK64,X6)
| p2(X6)
| ( r1(X6,sK69(X6))
& r1(sK69(X6),sK70(X6))
& ~ p2(sK70(X6))
& p2(sK69(X6)) ) )
& r1(sK64,sK71)
& ~ p1(sK71)
& ! [X10] :
( ~ r1(sK64,X10)
| p1(X10)
| ( r1(X10,sK72(X10))
& r1(sK72(X10),sK73(X10))
& ~ p1(sK73(X10))
& p1(sK72(X10)) ) )
& ( sP21(sK64)
| ( r1(sK64,sK74)
& ( sP19(sK74)
| ( ~ p2(sK74)
& ! [X14] :
( ~ r1(sK74,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14) ) ) )
& ! [X16] :
( ~ r1(sK74,X16)
| sP18(X16)
| sP17(X16)
| ( ~ p2(X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) ) ) ) ) )
& ( p1(sK64)
| ! [X19] :
( ~ r1(sK64,X19)
| p4(X19)
| p3(X19)
| p2(X19)
| p1(X19)
| ! [X20] :
( ~ r1(X19,X20)
| p4(X20)
| p3(X20)
| p2(X20)
| p1(X20)
| ! [X21] : ~ r1(X20,X21) ) )
| ( r1(sK64,sK75)
& ~ p1(sK75)
& sP15(sK75)
& sP14(sK75) ) )
& ( p4(sK64)
| p3(sK64)
| p2(sK64)
| p1(sK64)
| ! [X23] :
( ~ r1(sK64,X23)
| p4(X23)
| p3(X23)
| p2(X23)
| p1(X23)
| ! [X24] : ~ r1(X23,X24) )
| ( r1(sK64,sK76)
& ~ p4(sK76)
& ~ p3(sK76)
& ~ p2(sK76)
& ~ p1(sK76)
& sP10(sK76)
& sP11(sK76) ) )
& ( p3(sK64)
| p2(sK64)
| p1(sK64)
| ! [X26] :
( ~ r1(sK64,X26)
| p4(X26)
| p3(X26)
| p2(X26)
| p1(X26)
| ! [X27] : ~ r1(X26,X27) )
| ( r1(sK64,sK77)
& ~ p3(sK77)
& ~ p2(sK77)
& ~ p1(sK77)
& sP7(sK77)
& sP8(sK77) ) )
& ( p2(sK64)
| p1(sK64)
| ! [X29] :
( ~ r1(sK64,X29)
| p4(X29)
| p3(X29)
| p2(X29)
| p1(X29)
| ! [X30] : ~ r1(X29,X30) )
| ( r1(sK64,sK78)
& ~ p2(sK78)
& ~ p1(sK78)
& sP5(sK78)
& sP4(sK78) ) )
& ( p1(sK64)
| ! [X32] :
( ~ r1(sK64,X32)
| p4(X32)
| p3(X32)
| p2(X32)
| p1(X32)
| ! [X33] : ~ r1(X32,X33) )
| ( r1(sK64,sK79)
& ~ p1(sK79)
& sP3(sK79)
& sP2(sK79) ) )
& ( p4(sK64)
| p3(sK64)
| p2(sK64)
| p1(sK64)
| ! [X35] : ~ r1(sK64,X35)
| ( r1(sK64,sK80)
& ~ p4(sK80)
& ~ p3(sK80)
& ~ p2(sK80)
& ~ p1(sK80)
& r1(sK80,sK81)
& sP1(sK80) ) )
& ( p3(sK64)
| p2(sK64)
| p1(sK64)
| ! [X38] : ~ r1(sK64,X38)
| ( r1(sK64,sK82)
& ~ p3(sK82)
& ~ p2(sK82)
& ~ p1(sK82)
& r1(sK82,sK83)
& sP0(sK82) ) )
& ( p2(sK64)
| p1(sK64)
| ! [X41] : ~ r1(sK64,X41)
| ( r1(sK64,sK84)
& ~ p2(sK84)
& ~ p1(sK84)
& r1(sK84,sK85)
& ! [X44] :
( ~ r1(sK84,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45)
| p1(X45)
| ! [X46] : ~ r1(X45,X46) )
| ( ~ p2(X44)
& ~ p1(X44)
& r1(X44,sK86(X44)) ) ) ) )
& ( p1(sK64)
| ! [X48] : ~ r1(sK64,X48)
| ( r1(sK64,sK87)
& ~ p1(sK87)
& r1(sK87,sK88)
& ! [X51] :
( ~ r1(sK87,X51)
| ! [X52] :
( ~ r1(X51,X52)
| p1(X52)
| ! [X53] : ~ r1(X52,X53) )
| ( ~ p1(X51)
& r1(X51,sK89(X51)) ) ) ) )
& ! [X55] :
( ~ r1(sK64,X55)
| p2(X55)
| ( r1(X55,sK90(X55))
& ~ p2(sK90(X55))
& ! [X57] :
( ~ r1(sK90(X55),X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64,sK65,sK66,sK67,sK68,sK69,sK70,sK71,sK72,sK73,sK74,sK75,sK76,sK77,sK78,sK79,sK80,sK81,sK82,sK83,sK84,sK85,sK86,sK87,sK88,sK89,sK90]),skolemize(X0,sK64),skolemize(X1,sK65),skolemize(X3,sK66(X2)),skolemize(X4,sK67(X2)),skolemize(X5,sK68),skolemize(X7,sK69(X6)),skolemize(X8,sK70(X6)),skolemize(X9,sK71),skolemize(X11,sK72(X10)),skolemize(X12,sK73(X10)),skolemize(X13,sK74),skolemize(X22,sK75),skolemize(X25,sK76),skolemize(X28,sK77),skolemize(X31,sK78),skolemize(X34,sK79),skolemize(X36,sK80),skolemize(X37,sK81),skolemize(X39,sK82),skolemize(X40,sK83),skolemize(X42,sK84),skolemize(X43,sK85),skolemize(X47,sK86(X44)),skolemize(X49,sK87),skolemize(X50,sK88),skolemize(X54,sK89(X51)),skolemize(X56,sK90(X55))],[f95]) ).
fof(f101,plain,
! [X2,X3,X0] :
( ~ sP21(X0)
| ~ r1(sK22(X0),X2)
| ~ r1(X2,X3)
| p2(X3)
| ~ p2(X2)
| sP20(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f102,plain,
! [X0] :
( ~ p2(sK22(X0))
| sP20(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f103,plain,
! [X0] :
( ~ sP21(X0)
| r1(X0,sK22(X0))
| sP20(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ sP20(X0)
| ~ r1(X1,X2)
| p2(X2)
| p2(sK25(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ p2(sK26(X2))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(X0,X1)
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f106,plain,
! [X2,X0,X1] :
( r1(sK25(X2),sK26(X2))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(X0,X1)
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ sP20(X0)
| ~ r1(X1,X2)
| p2(X2)
| r1(X2,sK25(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f108,plain,
! [X0,X5] :
( p2(sK29(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f109,plain,
! [X0,X5] :
( ~ p2(sK30(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f110,plain,
! [X0,X5] :
( r1(sK29(X5),sK30(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f111,plain,
! [X0,X5] :
( ~ sP19(X0)
| p2(X5)
| r1(X5,sK29(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f39]) ).
fof(f112,plain,
! [X3,X0,X4] :
( ~ sP19(X0)
| ~ r1(X3,X4)
| p2(X4)
| ~ p2(X3)
| ~ r1(sK28(X0),X3) ),
inference(cnf_transformation,[],[f39]) ).
fof(f113,plain,
! [X0] :
( ~ p2(sK28(X0))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f114,plain,
! [X0] :
( r1(sK27(X0),sK28(X0))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f115,plain,
! [X0] :
( ~ sP19(X0)
| r1(X0,sK27(X0)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f116,plain,
! [X0,X1] :
( p2(sK32(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f117,plain,
! [X0,X1] :
( ~ p2(sK33(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f118,plain,
! [X0,X1] :
( r1(sK32(X1),sK33(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f119,plain,
! [X0,X1] :
( r1(X1,sK32(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f123,plain,
! [X0,X5] :
( ~ sP17(X0)
| p2(X5)
| p2(sK36(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f45]) ).
fof(f124,plain,
! [X0,X5] :
( ~ p2(sK37(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f125,plain,
! [X0,X5] :
( r1(sK36(X5),sK37(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f126,plain,
! [X0,X5] :
( ~ sP17(X0)
| p2(X5)
| r1(X5,sK36(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f45]) ).
fof(f229,plain,
! [X58,X57,X55] :
( ~ p2(X57)
| p2(X55)
| ~ r1(sK90(X55),X57)
| ~ r1(X57,X58)
| p2(X58)
| ~ r1(sK64,X55) ),
inference(cnf_transformation,[],[f96]) ).
fof(f230,plain,
! [X55] :
( ~ p2(sK90(X55))
| p2(X55)
| ~ r1(sK64,X55) ),
inference(cnf_transformation,[],[f96]) ).
fof(f231,plain,
! [X55] :
( r1(X55,sK90(X55))
| p2(X55)
| ~ r1(sK64,X55) ),
inference(cnf_transformation,[],[f96]) ).
fof(f283,plain,
! [X18,X16,X17] :
( sP21(sK64)
| ~ r1(sK74,X16)
| sP18(X16)
| sP17(X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| p2(X18)
| ~ p2(X17) ),
inference(cnf_transformation,[],[f96]) ).
fof(f284,plain,
! [X16] :
( sP21(sK64)
| ~ r1(sK74,X16)
| sP18(X16)
| sP17(X16)
| ~ p2(X16) ),
inference(cnf_transformation,[],[f96]) ).
fof(f285,plain,
! [X14,X15] :
( sP21(sK64)
| sP19(sK74)
| ~ r1(sK74,X14)
| ~ r1(X14,X15)
| p2(X15)
| ~ p2(X14) ),
inference(cnf_transformation,[],[f96]) ).
fof(f286,plain,
( sP21(sK64)
| sP19(sK74)
| ~ p2(sK74) ),
inference(cnf_transformation,[],[f96]) ).
fof(f287,plain,
( sP21(sK64)
| r1(sK64,sK74) ),
inference(cnf_transformation,[],[f96]) ).
fof(f294,plain,
! [X6] :
( p2(sK69(X6))
| p2(X6)
| ~ r1(sK64,X6) ),
inference(cnf_transformation,[],[f96]) ).
fof(f295,plain,
! [X6] :
( ~ p2(sK70(X6))
| p2(X6)
| ~ r1(sK64,X6) ),
inference(cnf_transformation,[],[f96]) ).
fof(f296,plain,
! [X6] :
( r1(sK69(X6),sK70(X6))
| p2(X6)
| ~ r1(sK64,X6) ),
inference(cnf_transformation,[],[f96]) ).
fof(f297,plain,
! [X6] :
( r1(X6,sK69(X6))
| p2(X6)
| ~ r1(sK64,X6) ),
inference(cnf_transformation,[],[f96]) ).
fof(f298,plain,
~ p2(sK68),
inference(cnf_transformation,[],[f96]) ).
fof(f299,plain,
r1(sK64,sK68),
inference(cnf_transformation,[],[f96]) ).
fof(f582,definition,
( spl91_59
<=> ! [X18,X16,X17] :
( ~ r1(sK74,X16)
| ~ p2(X17)
| p2(X18)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| sP17(X16)
| sP18(X16) ) ),
introduced(definition,[new_symbols(definition,[spl91_59])],[avatar_definition]) ).
fof(f583,plain,
( ! [X18,X16,X17] :
( sP18(X16)
| ~ p2(X17)
| p2(X18)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| sP17(X16)
| ~ r1(sK74,X16) )
| ~ spl91_59 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f585,definition,
( spl91_60
<=> sP21(sK64) ),
introduced(definition,[new_symbols(definition,[spl91_60])],[avatar_definition]) ).
fof(f587,plain,
( sP21(sK64)
| ~ spl91_60 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f588,plain,
( spl91_59
| spl91_60 ),
inference(avatar_split_clause,[],[f283,f585,f582]) ).
fof(f590,definition,
( spl91_61
<=> ! [X16] :
( ~ r1(sK74,X16)
| ~ p2(X16)
| sP17(X16)
| sP18(X16) ) ),
introduced(definition,[new_symbols(definition,[spl91_61])],[avatar_definition]) ).
fof(f591,plain,
( ! [X16] :
( sP18(X16)
| ~ p2(X16)
| sP17(X16)
| ~ r1(sK74,X16) )
| ~ spl91_61 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f592,plain,
( spl91_61
| spl91_60 ),
inference(avatar_split_clause,[],[f284,f585,f590]) ).
fof(f594,definition,
( spl91_62
<=> ! [X14,X15] :
( ~ r1(sK74,X14)
| ~ p2(X14)
| p2(X15)
| ~ r1(X14,X15) ) ),
introduced(definition,[new_symbols(definition,[spl91_62])],[avatar_definition]) ).
fof(f595,plain,
( ! [X14,X15] :
( ~ p2(X14)
| ~ r1(sK74,X14)
| p2(X15)
| ~ r1(X14,X15) )
| ~ spl91_62 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f597,definition,
( spl91_63
<=> sP19(sK74) ),
introduced(definition,[new_symbols(definition,[spl91_63])],[avatar_definition]) ).
fof(f599,plain,
( sP19(sK74)
| ~ spl91_63 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f600,plain,
( spl91_62
| spl91_63
| spl91_60 ),
inference(avatar_split_clause,[],[f285,f585,f597,f594]) ).
fof(f602,definition,
( spl91_64
<=> p2(sK74) ),
introduced(definition,[new_symbols(definition,[spl91_64])],[avatar_definition]) ).
fof(f604,plain,
( ~ p2(sK74)
| spl91_64 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f605,plain,
( ~ spl91_64
| spl91_63
| spl91_60 ),
inference(avatar_split_clause,[],[f286,f585,f597,f602]) ).
fof(f607,definition,
( spl91_65
<=> r1(sK64,sK74) ),
introduced(definition,[new_symbols(definition,[spl91_65])],[avatar_definition]) ).
fof(f609,plain,
( r1(sK64,sK74)
| ~ spl91_65 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f610,plain,
( spl91_65
| spl91_60 ),
inference(avatar_split_clause,[],[f287,f585,f607]) ).
fof(f634,definition,
( spl91_69
<=> ! [X1] :
( ~ r1(sK64,X1)
| p2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl91_69])],[avatar_definition]) ).
fof(f635,plain,
( ! [X1] :
( ~ r1(sK64,X1)
| p2(X1) )
| ~ spl91_69 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f640,plain,
( ! [X0,X1] :
( ~ r1(sK74,sK69(X0))
| p2(X1)
| ~ r1(sK69(X0),X1)
| p2(X0)
| ~ r1(sK64,X0) )
| ~ spl91_62 ),
inference(resolution,[],[f595,f294]) ).
fof(f642,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK69(sK74),X0)
| p2(sK74)
| ~ r1(sK64,sK74)
| p2(sK74)
| ~ r1(sK64,sK74) )
| ~ spl91_62 ),
inference(resolution,[],[f640,f297]) ).
fof(f643,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK69(sK74),X0)
| p2(sK74)
| ~ r1(sK64,sK74) )
| ~ spl91_62 ),
inference(duplicate_literal_removal,[],[f642]) ).
fof(f644,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK69(sK74),X0)
| ~ r1(sK64,sK74) )
| ~ spl91_62
| spl91_64 ),
inference(forward_subsumption_resolution,[],[f643,f604]) ).
fof(f645,plain,
( ! [X0] :
( ~ r1(sK69(sK74),X0)
| p2(X0) )
| ~ spl91_62
| spl91_64
| ~ spl91_65 ),
inference(forward_subsumption_resolution,[],[f644,f609]) ).
fof(f646,plain,
( p2(sK70(sK74))
| p2(sK74)
| ~ r1(sK64,sK74)
| ~ spl91_62
| spl91_64
| ~ spl91_65 ),
inference(resolution,[],[f645,f296]) ).
fof(f676,plain,
( p2(sK74)
| ~ r1(sK64,sK74)
| ~ spl91_62
| spl91_64
| ~ spl91_65 ),
inference(forward_subsumption_resolution,[],[f646,f295]) ).
fof(f682,plain,
( ~ r1(sK64,sK74)
| ~ spl91_62
| spl91_64
| ~ spl91_65 ),
inference(forward_subsumption_resolution,[],[f676,f604]) ).
fof(f683,plain,
( $false
| ~ spl91_62
| spl91_64
| ~ spl91_65 ),
inference(forward_subsumption_resolution,[],[f682,f609]) ).
fof(f684,plain,
( ~ spl91_62
| spl91_64
| ~ spl91_65 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f685,plain,
( r1(sK74,sK27(sK74))
| ~ spl91_63 ),
inference(resolution,[],[f599,f115]) ).
fof(f688,plain,
( ! [X0] :
( r1(X0,sK29(X0))
| p2(X0)
| ~ r1(sK74,X0) )
| ~ spl91_63 ),
inference(resolution,[],[f111,f599]) ).
fof(f732,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK28(sK74),X0) )
| ~ spl91_63 ),
inference(resolution,[],[f112,f599]) ).
fof(f735,plain,
( ! [X2,X0,X1] :
( ~ r1(sK28(sK74),sK32(X1))
| ~ r1(sK32(X1),X0)
| p2(X0)
| p2(X1)
| ~ r1(X2,X1)
| ~ sP18(X2) )
| ~ spl91_63 ),
inference(resolution,[],[f732,f116]) ).
fof(f751,definition,
( spl91_83
<=> p2(sK28(sK74)) ),
introduced(definition,[new_symbols(definition,[spl91_83])],[avatar_definition]) ).
fof(f752,plain,
( ~ p2(sK28(sK74))
| spl91_83 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f753,plain,
( p2(sK28(sK74))
| ~ spl91_83 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f771,plain,
( ! [X2,X0,X1] :
( ~ r1(sK32(sK28(sK74)),X0)
| p2(X0)
| p2(sK28(sK74))
| ~ r1(X1,sK28(sK74))
| ~ sP18(X1)
| p2(sK28(sK74))
| ~ r1(X2,sK28(sK74))
| ~ sP18(X2) )
| ~ spl91_63 ),
inference(resolution,[],[f735,f119]) ).
fof(f772,plain,
( ! [X2,X0,X1] :
( ~ r1(sK32(sK28(sK74)),X0)
| p2(X0)
| p2(sK28(sK74))
| ~ r1(X1,sK28(sK74))
| ~ sP18(X1)
| ~ r1(X2,sK28(sK74))
| ~ sP18(X2) )
| ~ spl91_63 ),
inference(duplicate_literal_removal,[],[f771]) ).
fof(f774,definition,
( spl91_88
<=> ! [X2] :
( ~ r1(X2,sK28(sK74))
| ~ sP18(X2) ) ),
introduced(definition,[new_symbols(definition,[spl91_88])],[avatar_definition]) ).
fof(f775,plain,
( ! [X2] :
( ~ r1(X2,sK28(sK74))
| ~ sP18(X2) )
| ~ spl91_88 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f777,definition,
( spl91_89
<=> ! [X0] :
( ~ r1(sK32(sK28(sK74)),X0)
| p2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl91_89])],[avatar_definition]) ).
fof(f778,plain,
( ! [X0] :
( ~ r1(sK32(sK28(sK74)),X0)
| p2(X0) )
| ~ spl91_89 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f779,plain,
( spl91_88
| spl91_88
| spl91_83
| spl91_89
| ~ spl91_63 ),
inference(avatar_split_clause,[],[f772,f597,f777,f751,f774,f774]) ).
fof(f780,plain,
( ! [X0] :
( p2(sK33(sK28(sK74)))
| p2(sK28(sK74))
| ~ r1(X0,sK28(sK74))
| ~ sP18(X0) )
| ~ spl91_89 ),
inference(resolution,[],[f778,f118]) ).
fof(f826,plain,
( ! [X0] :
( p2(sK28(sK74))
| ~ r1(X0,sK28(sK74))
| ~ sP18(X0) )
| ~ spl91_89 ),
inference(forward_subsumption_resolution,[],[f780,f117]) ).
fof(f828,plain,
( spl91_88
| spl91_83
| ~ spl91_89 ),
inference(avatar_split_clause,[],[f826,f777,f751,f774]) ).
fof(f830,plain,
( ~ sP19(sK74)
| ~ spl91_83 ),
inference(resolution,[],[f753,f113]) ).
fof(f845,plain,
( $false
| ~ spl91_63
| ~ spl91_83 ),
inference(forward_subsumption_resolution,[],[f830,f599]) ).
fof(f846,plain,
( ~ spl91_63
| ~ spl91_83 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f847,plain,
( ~ sP18(sK27(sK74))
| ~ sP19(sK74)
| ~ spl91_88 ),
inference(resolution,[],[f775,f114]) ).
fof(f848,plain,
( ~ sP18(sK27(sK74))
| ~ spl91_63
| ~ spl91_88 ),
inference(forward_subsumption_resolution,[],[f847,f599]) ).
fof(f849,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK27(sK74),X0)
| sP17(sK27(sK74))
| ~ r1(sK74,sK27(sK74)) )
| ~ spl91_59
| ~ spl91_63
| ~ spl91_88 ),
inference(resolution,[],[f848,f583]) ).
fof(f850,plain,
( ~ p2(sK27(sK74))
| sP17(sK27(sK74))
| ~ r1(sK74,sK27(sK74))
| ~ spl91_61
| ~ spl91_63
| ~ spl91_88 ),
inference(resolution,[],[f848,f591]) ).
fof(f851,plain,
( ~ p2(sK27(sK74))
| sP17(sK27(sK74))
| ~ spl91_61
| ~ spl91_63
| ~ spl91_88 ),
inference(forward_subsumption_resolution,[],[f850,f685]) ).
fof(f852,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK27(sK74),X0)
| sP17(sK27(sK74)) )
| ~ spl91_59
| ~ spl91_63
| ~ spl91_88 ),
inference(forward_subsumption_resolution,[],[f849,f685]) ).
fof(f854,definition,
( spl91_101
<=> sP17(sK27(sK74)) ),
introduced(definition,[new_symbols(definition,[spl91_101])],[avatar_definition]) ).
fof(f856,plain,
( sP17(sK27(sK74))
| ~ spl91_101 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f858,definition,
( spl91_102
<=> p2(sK27(sK74)) ),
introduced(definition,[new_symbols(definition,[spl91_102])],[avatar_definition]) ).
fof(f860,plain,
( ~ p2(sK27(sK74))
| spl91_102 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f861,plain,
( spl91_101
| ~ spl91_102
| ~ spl91_61
| ~ spl91_63
| ~ spl91_88 ),
inference(avatar_split_clause,[],[f851,f774,f597,f590,f858,f854]) ).
fof(f863,definition,
( spl91_103
<=> ! [X0,X1] :
( ~ p2(X0)
| ~ r1(sK27(sK74),X0)
| ~ r1(X0,X1)
| p2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl91_103])],[avatar_definition]) ).
fof(f864,plain,
( ! [X0,X1] :
( ~ p2(X0)
| ~ r1(sK27(sK74),X0)
| ~ r1(X0,X1)
| p2(X1) )
| ~ spl91_103 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f865,plain,
( spl91_101
| spl91_103
| ~ spl91_59
| ~ spl91_63
| ~ spl91_88 ),
inference(avatar_split_clause,[],[f852,f774,f597,f582,f863,f854]) ).
fof(f867,plain,
( ! [X0] :
( r1(X0,sK36(X0))
| p2(X0)
| ~ r1(sK27(sK74),X0) )
| ~ spl91_101 ),
inference(resolution,[],[f856,f126]) ).
fof(f868,plain,
( ! [X0] :
( p2(sK36(X0))
| p2(X0)
| ~ r1(sK27(sK74),X0) )
| ~ spl91_101 ),
inference(resolution,[],[f856,f123]) ).
fof(f870,plain,
( ! [X0,X1] :
( ~ r1(sK28(sK74),sK36(X0))
| ~ r1(sK27(sK74),X0)
| p2(X1)
| ~ r1(sK36(X0),X1)
| p2(X0) )
| ~ spl91_63
| ~ spl91_101 ),
inference(resolution,[],[f868,f732]) ).
fof(f884,plain,
( ! [X0] :
( ~ r1(sK27(sK74),sK28(sK74))
| p2(X0)
| ~ r1(sK36(sK28(sK74)),X0)
| p2(sK28(sK74))
| p2(sK28(sK74))
| ~ r1(sK27(sK74),sK28(sK74)) )
| ~ spl91_63
| ~ spl91_101 ),
inference(resolution,[],[f870,f867]) ).
fof(f885,plain,
( ! [X0] :
( ~ r1(sK27(sK74),sK28(sK74))
| p2(X0)
| ~ r1(sK36(sK28(sK74)),X0)
| p2(sK28(sK74)) )
| ~ spl91_63
| ~ spl91_101 ),
inference(duplicate_literal_removal,[],[f884]) ).
fof(f886,plain,
( ! [X0] :
( ~ r1(sK27(sK74),sK28(sK74))
| p2(X0)
| ~ r1(sK36(sK28(sK74)),X0) )
| ~ spl91_63
| spl91_83
| ~ spl91_101 ),
inference(forward_subsumption_resolution,[],[f885,f752]) ).
fof(f888,definition,
( spl91_105
<=> ! [X0] :
( p2(X0)
| ~ r1(sK36(sK28(sK74)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl91_105])],[avatar_definition]) ).
fof(f889,plain,
( ! [X0] :
( ~ r1(sK36(sK28(sK74)),X0)
| p2(X0) )
| ~ spl91_105 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f891,definition,
( spl91_106
<=> r1(sK27(sK74),sK28(sK74)) ),
introduced(definition,[new_symbols(definition,[spl91_106])],[avatar_definition]) ).
fof(f892,plain,
( r1(sK27(sK74),sK28(sK74))
| ~ spl91_106 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f893,plain,
( ~ r1(sK27(sK74),sK28(sK74))
| spl91_106 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f894,plain,
( spl91_105
| ~ spl91_106
| ~ spl91_63
| spl91_83
| ~ spl91_101 ),
inference(avatar_split_clause,[],[f886,f854,f751,f597,f891,f888]) ).
fof(f895,plain,
( ~ sP19(sK74)
| spl91_106 ),
inference(resolution,[],[f893,f114]) ).
fof(f896,plain,
( $false
| ~ spl91_63
| spl91_106 ),
inference(forward_subsumption_resolution,[],[f895,f599]) ).
fof(f897,plain,
( ~ spl91_63
| spl91_106 ),
inference(avatar_contradiction_clause,[],[f896]) ).
fof(f900,plain,
( ! [X2,X0,X1] :
( ~ r1(sK27(sK74),sK29(X0))
| ~ r1(sK29(X0),X1)
| p2(X1)
| p2(X0)
| ~ r1(X2,X0)
| ~ sP19(X2) )
| ~ spl91_103 ),
inference(resolution,[],[f864,f108]) ).
fof(f920,plain,
( ! [X0,X1] :
( ~ r1(sK29(sK27(sK74)),X0)
| p2(X0)
| p2(sK27(sK74))
| ~ r1(X1,sK27(sK74))
| ~ sP19(X1)
| p2(sK27(sK74))
| ~ r1(sK74,sK27(sK74)) )
| ~ spl91_63
| ~ spl91_103 ),
inference(resolution,[],[f900,f688]) ).
fof(f921,plain,
( ! [X0,X1] :
( ~ r1(sK29(sK27(sK74)),X0)
| p2(X0)
| p2(sK27(sK74))
| ~ r1(X1,sK27(sK74))
| ~ sP19(X1)
| ~ r1(sK74,sK27(sK74)) )
| ~ spl91_63
| ~ spl91_103 ),
inference(duplicate_literal_removal,[],[f920]) ).
fof(f922,plain,
( ! [X0,X1] :
( ~ r1(sK29(sK27(sK74)),X0)
| p2(X0)
| ~ r1(X1,sK27(sK74))
| ~ sP19(X1)
| ~ r1(sK74,sK27(sK74)) )
| ~ spl91_63
| spl91_102
| ~ spl91_103 ),
inference(forward_subsumption_resolution,[],[f921,f860]) ).
fof(f923,plain,
( ! [X0,X1] :
( ~ r1(sK29(sK27(sK74)),X0)
| p2(X0)
| ~ r1(X1,sK27(sK74))
| ~ sP19(X1) )
| ~ spl91_63
| spl91_102
| ~ spl91_103 ),
inference(forward_subsumption_resolution,[],[f922,f685]) ).
fof(f925,definition,
( spl91_110
<=> ! [X1] :
( ~ r1(X1,sK27(sK74))
| ~ sP19(X1) ) ),
introduced(definition,[new_symbols(definition,[spl91_110])],[avatar_definition]) ).
fof(f926,plain,
( ! [X1] :
( ~ sP19(X1)
| ~ r1(X1,sK27(sK74)) )
| ~ spl91_110 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f928,definition,
( spl91_111
<=> ! [X0] :
( ~ r1(sK29(sK27(sK74)),X0)
| p2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl91_111])],[avatar_definition]) ).
fof(f929,plain,
( ! [X0] :
( ~ r1(sK29(sK27(sK74)),X0)
| p2(X0) )
| ~ spl91_111 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f930,plain,
( spl91_110
| spl91_111
| ~ spl91_63
| spl91_102
| ~ spl91_103 ),
inference(avatar_split_clause,[],[f923,f863,f858,f597,f928,f925]) ).
fof(f935,plain,
( ! [X0] :
( p2(sK37(sK28(sK74)))
| p2(sK28(sK74))
| ~ r1(X0,sK28(sK74))
| ~ sP17(X0) )
| ~ spl91_105 ),
inference(resolution,[],[f889,f125]) ).
fof(f981,plain,
( ! [X0] :
( p2(sK28(sK74))
| ~ r1(X0,sK28(sK74))
| ~ sP17(X0) )
| ~ spl91_105 ),
inference(forward_subsumption_resolution,[],[f935,f124]) ).
fof(f983,plain,
( ! [X0] :
( ~ sP17(X0)
| ~ r1(X0,sK28(sK74)) )
| spl91_83
| ~ spl91_105 ),
inference(forward_subsumption_resolution,[],[f981,f752]) ).
fof(f984,plain,
( ~ r1(sK27(sK74),sK28(sK74))
| spl91_83
| ~ spl91_101
| ~ spl91_105 ),
inference(resolution,[],[f983,f856]) ).
fof(f985,plain,
( $false
| spl91_83
| ~ spl91_101
| ~ spl91_105
| ~ spl91_106 ),
inference(forward_subsumption_resolution,[],[f984,f892]) ).
fof(f986,plain,
( spl91_83
| ~ spl91_101
| ~ spl91_105
| ~ spl91_106 ),
inference(avatar_contradiction_clause,[],[f985]) ).
fof(f987,plain,
( ~ r1(sK74,sK27(sK74))
| ~ spl91_63
| ~ spl91_110 ),
inference(resolution,[],[f926,f599]) ).
fof(f988,plain,
( $false
| ~ spl91_63
| ~ spl91_110 ),
inference(forward_subsumption_resolution,[],[f987,f685]) ).
fof(f989,plain,
( ~ spl91_63
| ~ spl91_110 ),
inference(avatar_contradiction_clause,[],[f988]) ).
fof(f990,plain,
( ! [X0] :
( p2(sK30(sK27(sK74)))
| p2(sK27(sK74))
| ~ r1(X0,sK27(sK74))
| ~ sP19(X0) )
| ~ spl91_111 ),
inference(resolution,[],[f929,f110]) ).
fof(f1036,plain,
( ! [X0] :
( p2(sK27(sK74))
| ~ r1(X0,sK27(sK74))
| ~ sP19(X0) )
| ~ spl91_111 ),
inference(forward_subsumption_resolution,[],[f990,f109]) ).
fof(f1040,plain,
( spl91_110
| spl91_102
| ~ spl91_111 ),
inference(avatar_split_clause,[],[f1036,f928,f858,f925]) ).
fof(f1041,plain,
( ! [X0,X1] :
( ~ r1(sK22(sK64),X0)
| ~ r1(X0,X1)
| p2(X1)
| ~ p2(X0)
| sP20(sK64) )
| ~ spl91_60 ),
inference(resolution,[],[f587,f101]) ).
fof(f1042,plain,
( r1(sK64,sK22(sK64))
| sP20(sK64)
| ~ spl91_60 ),
inference(resolution,[],[f587,f103]) ).
fof(f1046,definition,
( spl91_128
<=> sP20(sK64) ),
introduced(definition,[new_symbols(definition,[spl91_128])],[avatar_definition]) ).
fof(f1048,plain,
( sP20(sK64)
| ~ spl91_128 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1050,definition,
( spl91_129
<=> r1(sK64,sK22(sK64)) ),
introduced(definition,[new_symbols(definition,[spl91_129])],[avatar_definition]) ).
fof(f1052,plain,
( r1(sK64,sK22(sK64))
| ~ spl91_129 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1053,plain,
( spl91_128
| spl91_129
| ~ spl91_60 ),
inference(avatar_split_clause,[],[f1042,f585,f1050,f1046]) ).
fof(f1055,definition,
( spl91_130
<=> ! [X0,X1] :
( ~ r1(sK22(sK64),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl91_130])],[avatar_definition]) ).
fof(f1056,plain,
( ! [X0,X1] :
( ~ p2(X0)
| ~ r1(sK22(sK64),X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl91_130 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1057,plain,
( spl91_128
| spl91_130
| ~ spl91_60 ),
inference(avatar_split_clause,[],[f1041,f585,f1055,f1046]) ).
fof(f1116,plain,
( ! [X0,X1] :
( ~ r1(sK22(sK64),sK69(X0))
| p2(X1)
| ~ r1(sK69(X0),X1)
| p2(X0)
| ~ r1(sK64,X0) )
| ~ spl91_130 ),
inference(resolution,[],[f1056,f294]) ).
fof(f1128,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK69(sK22(sK64)),X0)
| p2(sK22(sK64))
| ~ r1(sK64,sK22(sK64))
| p2(sK22(sK64))
| ~ r1(sK64,sK22(sK64)) )
| ~ spl91_130 ),
inference(resolution,[],[f1116,f297]) ).
fof(f1129,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK69(sK22(sK64)),X0)
| p2(sK22(sK64))
| ~ r1(sK64,sK22(sK64)) )
| ~ spl91_130 ),
inference(duplicate_literal_removal,[],[f1128]) ).
fof(f1130,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK69(sK22(sK64)),X0)
| p2(sK22(sK64)) )
| ~ spl91_129
| ~ spl91_130 ),
inference(forward_subsumption_resolution,[],[f1129,f1052]) ).
fof(f1132,definition,
( spl91_139
<=> p2(sK22(sK64)) ),
introduced(definition,[new_symbols(definition,[spl91_139])],[avatar_definition]) ).
fof(f1133,plain,
( ~ p2(sK22(sK64))
| spl91_139 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1134,plain,
( p2(sK22(sK64))
| ~ spl91_139 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1136,definition,
( spl91_140
<=> ! [X0] :
( p2(X0)
| ~ r1(sK69(sK22(sK64)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl91_140])],[avatar_definition]) ).
fof(f1137,plain,
( ! [X0] :
( ~ r1(sK69(sK22(sK64)),X0)
| p2(X0) )
| ~ spl91_140 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1140,plain,
( ! [X0,X1] :
( r1(X1,sK25(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK64,X0) )
| ~ spl91_128 ),
inference(resolution,[],[f1048,f107]) ).
fof(f1141,plain,
( ! [X0,X1] :
( p2(sK25(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK64,X0) )
| ~ spl91_128 ),
inference(resolution,[],[f1048,f104]) ).
fof(f1145,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK90(X2),sK25(X0))
| ~ r1(X1,X0)
| ~ r1(sK64,X1)
| p2(X2)
| p2(X0)
| ~ r1(sK25(X0),X3)
| p2(X3)
| ~ r1(sK64,X2) )
| ~ spl91_128 ),
inference(resolution,[],[f1141,f229]) ).
fof(f1175,plain,
( sP20(sK64)
| ~ sP21(sK64)
| ~ spl91_139 ),
inference(resolution,[],[f1134,f102]) ).
fof(f1216,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK90(X1))
| ~ r1(sK64,X0)
| p2(X1)
| p2(sK90(X1))
| ~ r1(sK25(sK90(X1)),X2)
| p2(X2)
| ~ r1(sK64,X1)
| p2(sK90(X1))
| ~ r1(X3,sK90(X1))
| ~ r1(sK64,X3) )
| ~ spl91_128 ),
inference(resolution,[],[f1145,f1140]) ).
fof(f1217,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK90(X1))
| ~ r1(sK64,X0)
| p2(X1)
| p2(sK90(X1))
| ~ r1(sK25(sK90(X1)),X2)
| p2(X2)
| ~ r1(sK64,X1)
| ~ r1(X3,sK90(X1))
| ~ r1(sK64,X3) )
| ~ spl91_128 ),
inference(duplicate_literal_removal,[],[f1216]) ).
fof(f1218,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK90(X1))
| ~ r1(sK64,X0)
| p2(X1)
| ~ r1(sK25(sK90(X1)),X2)
| p2(X2)
| ~ r1(sK64,X1)
| ~ r1(X3,sK90(X1))
| ~ r1(sK64,X3) )
| ~ spl91_128 ),
inference(forward_subsumption_resolution,[],[f1217,f230]) ).
fof(f1371,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK90(X1))
| ~ r1(sK64,X0)
| p2(X1)
| ~ r1(sK25(sK90(X1)),X2)
| p2(X2)
| ~ r1(sK64,X1)
| ~ r1(sK64,X0) )
| ~ spl91_128 ),
inference(factoring,[],[f1218]) ).
fof(f1373,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK90(X1))
| ~ r1(sK64,X0)
| p2(X1)
| ~ r1(sK25(sK90(X1)),X2)
| p2(X2)
| ~ r1(sK64,X1) )
| ~ spl91_128 ),
inference(duplicate_literal_removal,[],[f1371]) ).
fof(f1376,plain,
( ! [X0,X1] :
( ~ r1(sK64,X0)
| p2(X0)
| ~ r1(sK25(sK90(X0)),X1)
| p2(X1)
| ~ r1(sK64,X0)
| p2(X0)
| ~ r1(sK64,X0) )
| ~ spl91_128 ),
inference(resolution,[],[f1373,f231]) ).
fof(f1378,plain,
( ! [X0,X1] :
( ~ r1(sK25(sK90(X0)),X1)
| p2(X0)
| ~ r1(sK64,X0)
| p2(X1) )
| ~ spl91_128 ),
inference(duplicate_literal_removal,[],[f1376]) ).
fof(f1396,plain,
( ! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK64,X0)
| p2(sK26(sK90(X0)))
| ~ r1(X1,sK90(X0))
| p2(sK90(X0))
| ~ r1(X2,X1)
| ~ sP20(X2) )
| ~ spl91_128 ),
inference(resolution,[],[f1378,f106]) ).
fof(f1408,plain,
( ! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK64,X0)
| ~ r1(X1,sK90(X0))
| p2(sK90(X0))
| ~ r1(X2,X1)
| ~ sP20(X2) )
| ~ spl91_128 ),
inference(forward_subsumption_resolution,[],[f1396,f105]) ).
fof(f1409,plain,
( ! [X2,X0,X1] :
( ~ sP20(X2)
| ~ r1(sK64,X0)
| ~ r1(X1,sK90(X0))
| ~ r1(X2,X1)
| p2(X0) )
| ~ spl91_128 ),
inference(forward_subsumption_resolution,[],[f1408,f230]) ).
fof(f1446,plain,
( ! [X0,X1] :
( ~ r1(X1,sK90(X0))
| ~ r1(sK64,X0)
| ~ r1(sK64,X1)
| p2(X0) )
| ~ spl91_128 ),
inference(resolution,[],[f1409,f1048]) ).
fof(f1447,plain,
( ! [X0] :
( ~ r1(sK64,X0)
| ~ r1(sK64,X0)
| p2(X0)
| p2(X0)
| ~ r1(sK64,X0) )
| ~ spl91_128 ),
inference(resolution,[],[f1446,f231]) ).
fof(f1448,plain,
( ! [X0] :
( ~ r1(sK64,X0)
| p2(X0) )
| ~ spl91_128 ),
inference(duplicate_literal_removal,[],[f1447]) ).
fof(f1449,plain,
( spl91_69
| ~ spl91_128 ),
inference(avatar_split_clause,[],[f1448,f1046,f634]) ).
fof(f1452,plain,
( p2(sK68)
| ~ spl91_69 ),
inference(resolution,[],[f635,f299]) ).
fof(f1466,plain,
( $false
| ~ spl91_69 ),
inference(forward_subsumption_resolution,[],[f1452,f298]) ).
fof(f1467,plain,
~ spl91_69,
inference(avatar_contradiction_clause,[],[f1466]) ).
fof(f1495,plain,
( sP20(sK64)
| ~ spl91_60
| ~ spl91_139 ),
inference(forward_subsumption_resolution,[],[f1175,f587]) ).
fof(f1496,plain,
( spl91_128
| ~ spl91_60
| ~ spl91_139 ),
inference(avatar_split_clause,[],[f1495,f1132,f585,f1046]) ).
fof(f1516,plain,
( spl91_139
| spl91_140
| ~ spl91_129
| ~ spl91_130 ),
inference(avatar_split_clause,[],[f1130,f1055,f1050,f1136,f1132]) ).
fof(f1573,plain,
( p2(sK70(sK22(sK64)))
| p2(sK22(sK64))
| ~ r1(sK64,sK22(sK64))
| ~ spl91_140 ),
inference(resolution,[],[f1137,f296]) ).
fof(f1619,plain,
( p2(sK22(sK64))
| ~ r1(sK64,sK22(sK64))
| ~ spl91_140 ),
inference(forward_subsumption_resolution,[],[f1573,f295]) ).
fof(f1621,plain,
( ~ r1(sK64,sK22(sK64))
| spl91_139
| ~ spl91_140 ),
inference(forward_subsumption_resolution,[],[f1619,f1133]) ).
fof(f1622,plain,
( $false
| ~ spl91_129
| spl91_139
| ~ spl91_140 ),
inference(forward_subsumption_resolution,[],[f1621,f1052]) ).
fof(f1623,plain,
( ~ spl91_129
| spl91_139
| ~ spl91_140 ),
inference(avatar_contradiction_clause,[],[f1622]) ).
cnf(s52,plain,
( spl91_59
| spl91_60 ),
inference(sat_conversion,[],[f588]) ).
cnf(s53,plain,
( spl91_60
| spl91_61 ),
inference(sat_conversion,[],[f592]) ).
cnf(s54,plain,
( spl91_60
| spl91_62
| spl91_63 ),
inference(sat_conversion,[],[f600]) ).
cnf(s55,plain,
( spl91_60
| spl91_63
| ~ spl91_64 ),
inference(sat_conversion,[],[f605]) ).
cnf(s56,plain,
( spl91_60
| spl91_65 ),
inference(sat_conversion,[],[f610]) ).
cnf(s63,plain,
( ~ spl91_62
| spl91_64
| ~ spl91_65 ),
inference(sat_conversion,[],[f684]) ).
cnf(s70,plain,
( spl91_88
| spl91_83
| ~ spl91_63
| spl91_88
| spl91_89 ),
inference(sat_conversion,[],[f779]) ).
cnf(s71,plain,
( ~ spl91_63
| spl91_83
| spl91_88
| spl91_89 ),
inference(rat,[],[s70]) ).
cnf(s76,plain,
( spl91_83
| spl91_88
| ~ spl91_89 ),
inference(sat_conversion,[],[f828]) ).
cnf(s79,plain,
( ~ spl91_63
| ~ spl91_83 ),
inference(sat_conversion,[],[f846]) ).
cnf(s80,plain,
( ~ spl91_61
| ~ spl91_63
| ~ spl91_88
| spl91_101
| ~ spl91_102 ),
inference(sat_conversion,[],[f861]) ).
cnf(s81,plain,
( ~ spl91_59
| ~ spl91_63
| ~ spl91_88
| spl91_101
| spl91_103 ),
inference(sat_conversion,[],[f865]) ).
cnf(s83,plain,
( ~ spl91_63
| spl91_83
| ~ spl91_101
| spl91_105
| ~ spl91_106 ),
inference(sat_conversion,[],[f894]) ).
cnf(s84,plain,
( ~ spl91_63
| spl91_106 ),
inference(sat_conversion,[],[f897]) ).
cnf(s87,plain,
( ~ spl91_63
| spl91_102
| ~ spl91_103
| spl91_110
| spl91_111 ),
inference(sat_conversion,[],[f930]) ).
cnf(s92,plain,
( spl91_83
| ~ spl91_101
| ~ spl91_105
| ~ spl91_106 ),
inference(sat_conversion,[],[f986]) ).
cnf(s93,plain,
( ~ spl91_63
| ~ spl91_110 ),
inference(sat_conversion,[],[f989]) ).
cnf(s99,plain,
( spl91_102
| spl91_110
| ~ spl91_111 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s100,plain,
( ~ spl91_60
| spl91_128
| spl91_129 ),
inference(sat_conversion,[],[f1053]) ).
cnf(s101,plain,
( ~ spl91_60
| spl91_128
| spl91_130 ),
inference(sat_conversion,[],[f1057]) ).
cnf(s133,plain,
( spl91_69
| ~ spl91_128 ),
inference(sat_conversion,[],[f1449]) ).
cnf(s134,plain,
~ spl91_69,
inference(sat_conversion,[],[f1467]) ).
cnf(s138,plain,
( ~ spl91_60
| spl91_128
| ~ spl91_139 ),
inference(sat_conversion,[],[f1496]) ).
cnf(s142,plain,
( ~ spl91_129
| ~ spl91_130
| spl91_139
| spl91_140 ),
inference(sat_conversion,[],[f1516]) ).
cnf(s157,plain,
( ~ spl91_129
| spl91_139
| ~ spl91_140 ),
inference(sat_conversion,[],[f1623]) ).
cnf(s158,plain,
~ spl91_128,
inference(rat,[],[s133,s134]) ).
cnf(s159,plain,
( ~ spl91_60
| spl91_130 ),
inference(rat,[],[s101,s158]) ).
cnf(s160,plain,
( ~ spl91_60
| spl91_129 ),
inference(rat,[],[s100,s158]) ).
cnf(s162,plain,
~ spl91_60,
inference(rat,[],[s142,s157,s160,s159,s138,s158]) ).
cnf(s163,plain,
spl91_65,
inference(rat,[],[s56,s162]) ).
cnf(s164,plain,
spl91_61,
inference(rat,[],[s53,s162]) ).
cnf(s165,plain,
spl91_59,
inference(rat,[],[s52,s162]) ).
cnf(s166,plain,
( spl91_88
| ~ spl91_63 ),
inference(rat,[],[s71,s76,s79]) ).
cnf(s167,plain,
( spl91_101
| ~ spl91_63 ),
inference(rat,[],[s87,s99,s80,s81,s93,s166,s164,s165]) ).
cnf(s168,plain,
~ spl91_63,
inference(rat,[],[s83,s92,s167,s79,s84]) ).
cnf(s169,plain,
~ spl91_64,
inference(rat,[],[s55,s162,s168]) ).
cnf(s170,plain,
spl91_62,
inference(rat,[],[s54,s162,s168]) ).
cnf(s171,plain,
$false,
inference(rat,[],[s63,s163,s169,s170]) ).
fof(f1624,plain,
$false,
inference(avatar_sat_refutation,[],[s171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL642+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % 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 16:10:19 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
% 0.87/0.80 % (2556846)Detected formulas, will run a generic FOF schedule.
% 0.87/0.80 % (2556857)dis-21_1_sil=8000:lcm=predicate:random_seed=1674900440: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)
% 0.87/0.80 % (2556853)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=3349126729:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.87/0.80 % (2556855)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1729959044:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.87/0.80 % (2556854)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2020569745:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.87/0.80 % (2556856)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3864380225:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.87/0.80 % (2556851)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=4051153064:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.87/0.80 % (2556852)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=211835183:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.87/0.80 % (2556856)First to succeed.
% 0.87/0.80 % (2556854)Instruction limit reached!
% 0.87/0.80 % (2556854)------------------------------
% 0.87/0.80 % (2556854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.87/0.80 % (2556854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.80 % (2556854)CaDiCaL version: 2.1.3
% 0.87/0.80 % (2556854)Termination reason: Instruction limit
% 0.87/0.80 % (2556854)Termination phase: Saturation
% 0.87/0.80 % (2556854)Time elapsed: 0.029 s
% 0.87/0.80 % (2556854)Peak memory usage: 90 MB
% 0.87/0.80 % (2556854)Instructions burned: 109 (million)
% 0.87/0.80 % (2556855)Instruction limit reached!
% 0.87/0.80 % (2556855)------------------------------
% 0.87/0.80 % (2556855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.87/0.80 % (2556855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.80 % (2556855)CaDiCaL version: 2.1.3
% 0.87/0.80 % (2556855)Termination reason: Instruction limit
% 0.87/0.80 % (2556855)Termination phase: Saturation
% 0.87/0.80 % (2556855)Time elapsed: 0.029 s
% 0.87/0.80 % (2556855)Peak memory usage: 88 MB
% 0.87/0.80 % (2556855)Instructions burned: 119 (million)
% 0.87/0.80 % (2556856)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2556846"
% 0.87/0.80 % (2556857)Instruction limit reached!
% 0.87/0.80 % (2556857)------------------------------
% 0.87/0.80 % (2556857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.87/0.80 % (2556857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.80 % (2556857)CaDiCaL version: 2.1.3
% 0.87/0.80 % (2556857)Termination reason: Instruction limit
% 0.87/0.80 % (2556857)Termination phase: Saturation
% 0.87/0.80 % (2556857)Time elapsed: 0.034 s
% 0.87/0.80 % (2556857)Peak memory usage: 88 MB
% 0.87/0.80 % (2556857)Instructions burned: 131 (million)
% 0.87/0.80 % (2556867)lrs+1011_1_sil=32000:sp=occurrence:random_seed=506230054:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 0.87/0.80 % (2556865)lrs+10_1_sil=8000:sp=occurrence:random_seed=4126262380:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.87/0.80 % (2556866)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3003177826:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 0.87/0.80 % (2556866)Refutation not found, incomplete strategy
% 0.87/0.80 % (2556866)------------------------------
% 0.87/0.80 % (2556866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.87/0.80 % (2556866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.80 % (2556866)CaDiCaL version: 2.1.3
% 0.87/0.80 % (2556866)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.80 % (2556866)Time elapsed: 0.010 s
% 0.87/0.80 % (2556866)Peak memory usage: 89 MB
% 0.87/0.80 % (2556866)Instructions burned: 36 (million)
% 0.87/0.80 % (2556867)Also succeeded, but the first one will report.
% 0.87/0.80 % (2556856)Refutation found. Thanks to Tanya!
% 0.87/0.80 % SZS status Theorem for theBenchmark
% 0.87/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.87/0.90 % (2556856)------------------------------
% 0.87/0.90 % (2556856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.87/0.90 % (2556856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.90 % (2556856)CaDiCaL version: 2.1.3
% 0.87/0.90 % (2556856)Termination reason: Refutation
% 0.87/0.90 % (2556856)Time elapsed: 0.030 s
% 0.87/0.90 % (2556856)Peak memory usage: 90 MB
% 0.87/0.90 % (2556856)Instructions burned: 95 (million)
% 0.87/0.90 % (2556856)------------------------------
% 0.87/0.90 % (2556856)------------------------------
% 0.87/0.90 % (2556846)Success in time 0.289 s
% 0.87/0.90 % Vampire exiting
%------------------------------------------------------------------------------