%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL660+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 : n001.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 11:54:24 AM UTC 2026
% Result : Theorem 4.92s 2.21s
% Output : Refutation 9.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 60
% Syntax : Number of formulae : 406 ( 19 unt; 58 def)
% Number of atoms : 5355 ( 0 equ)
% Maximal formula atoms : 423 ( 13 avg)
% Number of connectives : 7901 (2952 ~;3997 |; 917 &)
% ( 35 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 65 ( 64 usr; 36 prp; 0-2 aty)
% Number of functors : 47 ( 47 usr; 18 con; 0-1 aty)
% Number of variables : 1736 ( 0 sgn1446 !; 290 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) )
& ( ! [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)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p5(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(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) )
& ( ! [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)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p5(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)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) )
& ( ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
| ~ ! [X3] :
( ~ r1(X0,X3)
| p2(X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ p2(X4) ) ) ) )
| ! [X6] :
( ~ r1(X0,X6)
| p3(X6) )
| ~ ! [X7] :
( ~ r1(X0,X7)
| p3(X7)
| ~ ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| p3(X9) )
| ~ p3(X8) ) )
| ( ~ ! [X10] :
( ~ r1(X0,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p5(X11) ) )
& ( ! [X12] :
( ~ r1(X0,X12)
| p2(X12) )
| ~ ! [X13] :
( ~ r1(X0,X13)
| p2(X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14) ) ) ) )
| ! [X16] :
( ~ r1(X0,X16)
| p1(X16) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p1(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ~ p1(X18) ) )
| ~ ( ( ( ( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ~ ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23) )
| ~ p2(X22) ) ) )
| ~ ! [X24] :
( ~ r1(X0,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ( p2(X0)
| ~ ! [X27] :
( ~ r1(X0,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ p2(X27) ) ) )
| ~ ! [X29] :
( ~ r1(X0,X29)
| ( ( ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31)
| ~ ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32) ) ) )
| ~ ! [X34] :
( ~ r1(X29,X34)
| p2(X34)
| ~ ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p2(X36) )
| ~ p2(X35) ) ) )
& ( p2(X29)
| ~ ! [X37] :
( ~ r1(X29,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
| ~ ! [X39] :
( ~ r1(X29,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ( ( ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42)
| ~ ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44) )
| ~ p2(X43) ) ) )
| ~ ! [X45] :
( ~ r1(X40,X45)
| p2(X45)
| ~ ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ p2(X46) ) ) )
& ( p2(X40)
| ~ ! [X48] :
( ~ r1(X40,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) ) )
| ~ ( ( ! [X50] :
( ~ r1(X39,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51)
| ~ ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52) ) ) )
| ~ ! [X54] :
( ~ r1(X39,X54)
| p2(X54)
| ~ ! [X55] :
( ~ r1(X54,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p2(X56) )
| ~ p2(X55) ) ) )
& ( p2(X39)
| ~ ! [X57] :
( ~ r1(X39,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) ) ) ) )
& ( p1(X0)
| ! [X59] :
( ~ r1(X0,X59)
| p4(X59)
| p3(X59)
| p2(X59)
| p1(X59)
| ! [X60] :
( ~ r1(X59,X60)
| p4(X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] :
( ~ r1(X60,X61)
| $false ) ) )
| ~ ! [X62] :
( ~ r1(X0,X62)
| p1(X62)
| ! [X63] :
( ~ r1(X62,X63)
| p4(X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] :
( ~ r1(X63,X64)
| p4(X64)
| p3(X64)
| p2(X64)
| p1(X64)
| ! [X65] :
( ~ r1(X64,X65)
| $false ) ) )
| ~ ! [X66] :
( ~ r1(X62,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| p4(X68)
| p3(X68)
| p2(X68)
| p1(X68)
| ! [X69] :
( ~ r1(X68,X69)
| p4(X69)
| p3(X69)
| p2(X69)
| p1(X69)
| ! [X70] :
( ~ r1(X69,X70)
| $false ) ) ) )
| ~ ( p1(X66)
| ! [X71] :
( ~ r1(X66,X71)
| p4(X71)
| p3(X71)
| p2(X71)
| p1(X71)
| ! [X72] :
( ~ r1(X71,X72)
| p4(X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X73] :
( ~ r1(X72,X73)
| $false ) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X74] :
( ~ r1(X0,X74)
| p4(X74)
| p3(X74)
| p2(X74)
| p1(X74)
| ! [X75] :
( ~ r1(X74,X75)
| $false ) )
| ~ ! [X76] :
( ~ r1(X0,X76)
| p4(X76)
| p3(X76)
| p2(X76)
| p1(X76)
| ! [X77] :
( ~ r1(X76,X77)
| p4(X77)
| p3(X77)
| p2(X77)
| p1(X77)
| ! [X78] :
( ~ r1(X77,X78)
| $false ) )
| ~ ! [X79] :
( ~ r1(X76,X79)
| ! [X80] :
( ~ r1(X79,X80)
| p4(X80)
| p3(X80)
| p2(X80)
| p1(X80)
| ! [X81] :
( ~ r1(X80,X81)
| p4(X81)
| p3(X81)
| p2(X81)
| p1(X81)
| ! [X82] :
( ~ r1(X81,X82)
| $false ) ) )
| ~ ( p4(X79)
| p3(X79)
| p2(X79)
| p1(X79)
| ! [X83] :
( ~ r1(X79,X83)
| p4(X83)
| p3(X83)
| p2(X83)
| p1(X83)
| ! [X84] :
( ~ r1(X83,X84)
| $false ) ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X85] :
( ~ r1(X0,X85)
| p4(X85)
| p3(X85)
| p2(X85)
| p1(X85)
| ! [X86] :
( ~ r1(X85,X86)
| $false ) )
| ~ ! [X87] :
( ~ r1(X0,X87)
| p3(X87)
| p2(X87)
| p1(X87)
| ! [X88] :
( ~ r1(X87,X88)
| p4(X88)
| p3(X88)
| p2(X88)
| p1(X88)
| ! [X89] :
( ~ r1(X88,X89)
| $false ) )
| ~ ! [X90] :
( ~ r1(X87,X90)
| ! [X91] :
( ~ r1(X90,X91)
| p3(X91)
| p2(X91)
| p1(X91)
| ! [X92] :
( ~ r1(X91,X92)
| p4(X92)
| p3(X92)
| p2(X92)
| p1(X92)
| ! [X93] :
( ~ r1(X92,X93)
| $false ) ) )
| ~ ( p3(X90)
| p2(X90)
| p1(X90)
| ! [X94] :
( ~ r1(X90,X94)
| p4(X94)
| p3(X94)
| p2(X94)
| p1(X94)
| ! [X95] :
( ~ r1(X94,X95)
| $false ) ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X96] :
( ~ r1(X0,X96)
| p4(X96)
| p3(X96)
| p2(X96)
| p1(X96)
| ! [X97] :
( ~ r1(X96,X97)
| $false ) )
| ~ ! [X98] :
( ~ r1(X0,X98)
| p2(X98)
| p1(X98)
| ! [X99] :
( ~ r1(X98,X99)
| p4(X99)
| p3(X99)
| p2(X99)
| p1(X99)
| ! [X100] :
( ~ r1(X99,X100)
| $false ) )
| ~ ! [X101] :
( ~ r1(X98,X101)
| ! [X102] :
( ~ r1(X101,X102)
| p2(X102)
| p1(X102)
| ! [X103] :
( ~ r1(X102,X103)
| p4(X103)
| p3(X103)
| p2(X103)
| p1(X103)
| ! [X104] :
( ~ r1(X103,X104)
| $false ) ) )
| ~ ( p2(X101)
| p1(X101)
| ! [X105] :
( ~ r1(X101,X105)
| p4(X105)
| p3(X105)
| p2(X105)
| p1(X105)
| ! [X106] :
( ~ r1(X105,X106)
| $false ) ) ) ) ) )
& ( p1(X0)
| ! [X107] :
( ~ r1(X0,X107)
| p4(X107)
| p3(X107)
| p2(X107)
| p1(X107)
| ! [X108] :
( ~ r1(X107,X108)
| $false ) )
| ~ ! [X109] :
( ~ r1(X0,X109)
| p1(X109)
| ! [X110] :
( ~ r1(X109,X110)
| p4(X110)
| p3(X110)
| p2(X110)
| p1(X110)
| ! [X111] :
( ~ r1(X110,X111)
| $false ) )
| ~ ! [X112] :
( ~ r1(X109,X112)
| ! [X113] :
( ~ r1(X112,X113)
| p1(X113)
| ! [X114] :
( ~ r1(X113,X114)
| p4(X114)
| p3(X114)
| p2(X114)
| p1(X114)
| ! [X115] :
( ~ r1(X114,X115)
| $false ) ) )
| ~ ( p1(X112)
| ! [X116] :
( ~ r1(X112,X116)
| p4(X116)
| p3(X116)
| p2(X116)
| p1(X116)
| ! [X117] :
( ~ r1(X116,X117)
| $false ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X118] :
( ~ r1(X0,X118)
| $false )
| ~ ! [X119] :
( ~ r1(X0,X119)
| p4(X119)
| p3(X119)
| p2(X119)
| p1(X119)
| ! [X120] :
( ~ r1(X119,X120)
| $false )
| ~ ! [X121] :
( ~ r1(X119,X121)
| ! [X122] :
( ~ r1(X121,X122)
| p4(X122)
| p3(X122)
| p2(X122)
| p1(X122)
| ! [X123] :
( ~ r1(X122,X123)
| $false ) )
| ~ ( p4(X121)
| p3(X121)
| p2(X121)
| p1(X121)
| ! [X124] :
( ~ r1(X121,X124)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X125] :
( ~ r1(X0,X125)
| $false )
| ~ ! [X126] :
( ~ r1(X0,X126)
| p3(X126)
| p2(X126)
| p1(X126)
| ! [X127] :
( ~ r1(X126,X127)
| $false )
| ~ ! [X128] :
( ~ r1(X126,X128)
| ! [X129] :
( ~ r1(X128,X129)
| p3(X129)
| p2(X129)
| p1(X129)
| ! [X130] :
( ~ r1(X129,X130)
| $false ) )
| ~ ( p3(X128)
| p2(X128)
| p1(X128)
| ! [X131] :
( ~ r1(X128,X131)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X132] :
( ~ r1(X0,X132)
| $false )
| ~ ! [X133] :
( ~ r1(X0,X133)
| p2(X133)
| p1(X133)
| ! [X134] :
( ~ r1(X133,X134)
| $false )
| ~ ! [X135] :
( ~ r1(X133,X135)
| ! [X136] :
( ~ r1(X135,X136)
| p2(X136)
| p1(X136)
| ! [X137] :
( ~ r1(X136,X137)
| $false ) )
| ~ ( p2(X135)
| p1(X135)
| ! [X138] :
( ~ r1(X135,X138)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X139] :
( ~ r1(X0,X139)
| $false )
| ~ ! [X140] :
( ~ r1(X0,X140)
| p1(X140)
| ! [X141] :
( ~ r1(X140,X141)
| $false )
| ~ ! [X142] :
( ~ r1(X140,X142)
| ! [X143] :
( ~ r1(X142,X143)
| p1(X143)
| ! [X144] :
( ~ r1(X143,X144)
| $false ) )
| ~ ( p1(X142)
| ! [X145] :
( ~ r1(X142,X145)
| $false ) ) ) ) )
& ! [X146] :
( ~ r1(X0,X146)
| p2(X146)
| ~ ! [X147] :
( ~ r1(X146,X147)
| p2(X147)
| ~ ! [X148] :
( ~ r1(X147,X148)
| ! [X149] :
( ~ r1(X148,X149)
| p2(X149) )
| ~ p2(X148) ) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) )
& ( ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
| ~ ! [X3] :
( ~ r1(X0,X3)
| p2(X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ p2(X4) ) ) ) )
| ! [X6] :
( ~ r1(X0,X6)
| p3(X6) )
| ~ ! [X7] :
( ~ r1(X0,X7)
| p3(X7)
| ~ ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| p3(X9) )
| ~ p3(X8) ) )
| ( ~ ! [X10] :
( ~ r1(X0,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p5(X11) ) )
& ( ! [X12] :
( ~ r1(X0,X12)
| p2(X12) )
| ~ ! [X13] :
( ~ r1(X0,X13)
| p2(X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14) ) ) ) )
| ! [X16] :
( ~ r1(X0,X16)
| p1(X16) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p1(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ~ p1(X18) ) )
| ~ ( ( ( ( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ~ ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23) )
| ~ p2(X22) ) ) )
| ~ ! [X24] :
( ~ r1(X0,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ( p2(X0)
| ~ ! [X27] :
( ~ r1(X0,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ p2(X27) ) ) )
| ~ ! [X29] :
( ~ r1(X0,X29)
| ( ( ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31)
| ~ ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32) ) ) )
| ~ ! [X34] :
( ~ r1(X29,X34)
| p2(X34)
| ~ ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p2(X36) )
| ~ p2(X35) ) ) )
& ( p2(X29)
| ~ ! [X37] :
( ~ r1(X29,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
| ~ ! [X39] :
( ~ r1(X29,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ( ( ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42)
| ~ ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44) )
| ~ p2(X43) ) ) )
| ~ ! [X45] :
( ~ r1(X40,X45)
| p2(X45)
| ~ ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ p2(X46) ) ) )
& ( p2(X40)
| ~ ! [X48] :
( ~ r1(X40,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) ) )
| ~ ( ( ! [X50] :
( ~ r1(X39,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51)
| ~ ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52) ) ) )
| ~ ! [X54] :
( ~ r1(X39,X54)
| p2(X54)
| ~ ! [X55] :
( ~ r1(X54,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p2(X56) )
| ~ p2(X55) ) ) )
& ( p2(X39)
| ~ ! [X57] :
( ~ r1(X39,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) ) ) ) )
& ( p1(X0)
| ! [X59] :
( ~ r1(X0,X59)
| p4(X59)
| p3(X59)
| p2(X59)
| p1(X59)
| ! [X60] :
( ~ r1(X59,X60)
| p4(X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] : ~ r1(X60,X61) ) )
| ~ ! [X62] :
( ~ r1(X0,X62)
| p1(X62)
| ! [X63] :
( ~ r1(X62,X63)
| p4(X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] :
( ~ r1(X63,X64)
| p4(X64)
| p3(X64)
| p2(X64)
| p1(X64)
| ! [X65] : ~ r1(X64,X65) ) )
| ~ ! [X66] :
( ~ r1(X62,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| p4(X68)
| p3(X68)
| p2(X68)
| p1(X68)
| ! [X69] :
( ~ r1(X68,X69)
| p4(X69)
| p3(X69)
| p2(X69)
| p1(X69)
| ! [X70] : ~ r1(X69,X70) ) ) )
| ~ ( p1(X66)
| ! [X71] :
( ~ r1(X66,X71)
| p4(X71)
| p3(X71)
| p2(X71)
| p1(X71)
| ! [X72] :
( ~ r1(X71,X72)
| p4(X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X73] : ~ r1(X72,X73) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X74] :
( ~ r1(X0,X74)
| p4(X74)
| p3(X74)
| p2(X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75) )
| ~ ! [X76] :
( ~ r1(X0,X76)
| p4(X76)
| p3(X76)
| p2(X76)
| p1(X76)
| ! [X77] :
( ~ r1(X76,X77)
| p4(X77)
| p3(X77)
| p2(X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ~ ! [X79] :
( ~ r1(X76,X79)
| ! [X80] :
( ~ r1(X79,X80)
| p4(X80)
| p3(X80)
| p2(X80)
| p1(X80)
| ! [X81] :
( ~ r1(X80,X81)
| p4(X81)
| p3(X81)
| p2(X81)
| p1(X81)
| ! [X82] : ~ r1(X81,X82) ) )
| ~ ( p4(X79)
| p3(X79)
| p2(X79)
| p1(X79)
| ! [X83] :
( ~ r1(X79,X83)
| p4(X83)
| p3(X83)
| p2(X83)
| p1(X83)
| ! [X84] : ~ r1(X83,X84) ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X85] :
( ~ r1(X0,X85)
| p4(X85)
| p3(X85)
| p2(X85)
| p1(X85)
| ! [X86] : ~ r1(X85,X86) )
| ~ ! [X87] :
( ~ r1(X0,X87)
| p3(X87)
| p2(X87)
| p1(X87)
| ! [X88] :
( ~ r1(X87,X88)
| p4(X88)
| p3(X88)
| p2(X88)
| p1(X88)
| ! [X89] : ~ r1(X88,X89) )
| ~ ! [X90] :
( ~ r1(X87,X90)
| ! [X91] :
( ~ r1(X90,X91)
| p3(X91)
| p2(X91)
| p1(X91)
| ! [X92] :
( ~ r1(X91,X92)
| p4(X92)
| p3(X92)
| p2(X92)
| p1(X92)
| ! [X93] : ~ r1(X92,X93) ) )
| ~ ( p3(X90)
| p2(X90)
| p1(X90)
| ! [X94] :
( ~ r1(X90,X94)
| p4(X94)
| p3(X94)
| p2(X94)
| p1(X94)
| ! [X95] : ~ r1(X94,X95) ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X96] :
( ~ r1(X0,X96)
| p4(X96)
| p3(X96)
| p2(X96)
| p1(X96)
| ! [X97] : ~ r1(X96,X97) )
| ~ ! [X98] :
( ~ r1(X0,X98)
| p2(X98)
| p1(X98)
| ! [X99] :
( ~ r1(X98,X99)
| p4(X99)
| p3(X99)
| p2(X99)
| p1(X99)
| ! [X100] : ~ r1(X99,X100) )
| ~ ! [X101] :
( ~ r1(X98,X101)
| ! [X102] :
( ~ r1(X101,X102)
| p2(X102)
| p1(X102)
| ! [X103] :
( ~ r1(X102,X103)
| p4(X103)
| p3(X103)
| p2(X103)
| p1(X103)
| ! [X104] : ~ r1(X103,X104) ) )
| ~ ( p2(X101)
| p1(X101)
| ! [X105] :
( ~ r1(X101,X105)
| p4(X105)
| p3(X105)
| p2(X105)
| p1(X105)
| ! [X106] : ~ r1(X105,X106) ) ) ) ) )
& ( p1(X0)
| ! [X107] :
( ~ r1(X0,X107)
| p4(X107)
| p3(X107)
| p2(X107)
| p1(X107)
| ! [X108] : ~ r1(X107,X108) )
| ~ ! [X109] :
( ~ r1(X0,X109)
| p1(X109)
| ! [X110] :
( ~ r1(X109,X110)
| p4(X110)
| p3(X110)
| p2(X110)
| p1(X110)
| ! [X111] : ~ r1(X110,X111) )
| ~ ! [X112] :
( ~ r1(X109,X112)
| ! [X113] :
( ~ r1(X112,X113)
| p1(X113)
| ! [X114] :
( ~ r1(X113,X114)
| p4(X114)
| p3(X114)
| p2(X114)
| p1(X114)
| ! [X115] : ~ r1(X114,X115) ) )
| ~ ( p1(X112)
| ! [X116] :
( ~ r1(X112,X116)
| p4(X116)
| p3(X116)
| p2(X116)
| p1(X116)
| ! [X117] : ~ r1(X116,X117) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X118] : ~ r1(X0,X118)
| ~ ! [X119] :
( ~ r1(X0,X119)
| p4(X119)
| p3(X119)
| p2(X119)
| p1(X119)
| ! [X120] : ~ r1(X119,X120)
| ~ ! [X121] :
( ~ r1(X119,X121)
| ! [X122] :
( ~ r1(X121,X122)
| p4(X122)
| p3(X122)
| p2(X122)
| p1(X122)
| ! [X123] : ~ r1(X122,X123) )
| ~ ( p4(X121)
| p3(X121)
| p2(X121)
| p1(X121)
| ! [X124] : ~ r1(X121,X124) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X125] : ~ r1(X0,X125)
| ~ ! [X126] :
( ~ r1(X0,X126)
| p3(X126)
| p2(X126)
| p1(X126)
| ! [X127] : ~ r1(X126,X127)
| ~ ! [X128] :
( ~ r1(X126,X128)
| ! [X129] :
( ~ r1(X128,X129)
| p3(X129)
| p2(X129)
| p1(X129)
| ! [X130] : ~ r1(X129,X130) )
| ~ ( p3(X128)
| p2(X128)
| p1(X128)
| ! [X131] : ~ r1(X128,X131) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X132] : ~ r1(X0,X132)
| ~ ! [X133] :
( ~ r1(X0,X133)
| p2(X133)
| p1(X133)
| ! [X134] : ~ r1(X133,X134)
| ~ ! [X135] :
( ~ r1(X133,X135)
| ! [X136] :
( ~ r1(X135,X136)
| p2(X136)
| p1(X136)
| ! [X137] : ~ r1(X136,X137) )
| ~ ( p2(X135)
| p1(X135)
| ! [X138] : ~ r1(X135,X138) ) ) ) )
& ( p1(X0)
| ! [X139] : ~ r1(X0,X139)
| ~ ! [X140] :
( ~ r1(X0,X140)
| p1(X140)
| ! [X141] : ~ r1(X140,X141)
| ~ ! [X142] :
( ~ r1(X140,X142)
| ! [X143] :
( ~ r1(X142,X143)
| p1(X143)
| ! [X144] : ~ r1(X143,X144) )
| ~ ( p1(X142)
| ! [X145] : ~ r1(X142,X145) ) ) ) )
& ! [X146] :
( ~ r1(X0,X146)
| p2(X146)
| ~ ! [X147] :
( ~ r1(X146,X147)
| p2(X147)
| ~ ! [X148] :
( ~ r1(X147,X148)
| ! [X149] :
( ~ r1(X148,X149)
| p2(X149) )
| ~ p2(X148) ) ) ) ) ),
inference(true_and_false_elimination,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) )
& ( ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
| ~ ! [X3] :
( ~ r1(X0,X3)
| p2(X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ p2(X4) ) ) ) )
| ! [X6] :
( ~ r1(X0,X6)
| p3(X6) )
| ~ ! [X7] :
( ~ r1(X0,X7)
| p3(X7)
| ~ ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| p3(X9) )
| ~ p3(X8) ) )
| ( ~ ! [X10] :
( ~ r1(X0,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p5(X11) ) )
& ( ! [X12] :
( ~ r1(X0,X12)
| p2(X12) )
| ~ ! [X13] :
( ~ r1(X0,X13)
| p2(X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14) ) ) ) )
| ! [X16] :
( ~ r1(X0,X16)
| p1(X16) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p1(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ~ p1(X18) ) )
| ~ ( ( ( ( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ~ ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23) )
| ~ p2(X22) ) ) )
| ~ ! [X24] :
( ~ r1(X0,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ( p2(X0)
| ~ ! [X27] :
( ~ r1(X0,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ p2(X27) ) ) )
| ~ ! [X29] :
( ~ r1(X0,X29)
| ( ( ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31)
| ~ ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32) ) ) )
| ~ ! [X34] :
( ~ r1(X29,X34)
| p2(X34)
| ~ ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p2(X36) )
| ~ p2(X35) ) ) )
& ( p2(X29)
| ~ ! [X37] :
( ~ r1(X29,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
| ~ ! [X39] :
( ~ r1(X29,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ( ( ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42)
| ~ ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44) )
| ~ p2(X43) ) ) )
| ~ ! [X45] :
( ~ r1(X40,X45)
| p2(X45)
| ~ ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ p2(X46) ) ) )
& ( p2(X40)
| ~ ! [X48] :
( ~ r1(X40,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) ) )
| ~ ( ( ! [X50] :
( ~ r1(X39,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51)
| ~ ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52) ) ) )
| ~ ! [X54] :
( ~ r1(X39,X54)
| p2(X54)
| ~ ! [X55] :
( ~ r1(X54,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p2(X56) )
| ~ p2(X55) ) ) )
& ( p2(X39)
| ~ ! [X57] :
( ~ r1(X39,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) ) ) ) )
& ( p1(X0)
| ! [X59] :
( ~ r1(X0,X59)
| p4(X59)
| p3(X59)
| p2(X59)
| p1(X59)
| ! [X60] :
( ~ r1(X59,X60)
| p4(X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] : ~ r1(X60,X61) ) )
| ~ ! [X62] :
( ~ r1(X0,X62)
| p1(X62)
| ! [X63] :
( ~ r1(X62,X63)
| p4(X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] :
( ~ r1(X63,X64)
| p4(X64)
| p3(X64)
| p2(X64)
| p1(X64)
| ! [X65] : ~ r1(X64,X65) ) )
| ~ ! [X66] :
( ~ r1(X62,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| p4(X68)
| p3(X68)
| p2(X68)
| p1(X68)
| ! [X69] :
( ~ r1(X68,X69)
| p4(X69)
| p3(X69)
| p2(X69)
| p1(X69)
| ! [X70] : ~ r1(X69,X70) ) ) )
| ~ ( p1(X66)
| ! [X71] :
( ~ r1(X66,X71)
| p4(X71)
| p3(X71)
| p2(X71)
| p1(X71)
| ! [X72] :
( ~ r1(X71,X72)
| p4(X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X73] : ~ r1(X72,X73) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X74] :
( ~ r1(X0,X74)
| p4(X74)
| p3(X74)
| p2(X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75) )
| ~ ! [X76] :
( ~ r1(X0,X76)
| p4(X76)
| p3(X76)
| p2(X76)
| p1(X76)
| ! [X77] :
( ~ r1(X76,X77)
| p4(X77)
| p3(X77)
| p2(X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ~ ! [X79] :
( ~ r1(X76,X79)
| ! [X80] :
( ~ r1(X79,X80)
| p4(X80)
| p3(X80)
| p2(X80)
| p1(X80)
| ! [X81] :
( ~ r1(X80,X81)
| p4(X81)
| p3(X81)
| p2(X81)
| p1(X81)
| ! [X82] : ~ r1(X81,X82) ) )
| ~ ( p4(X79)
| p3(X79)
| p2(X79)
| p1(X79)
| ! [X83] :
( ~ r1(X79,X83)
| p4(X83)
| p3(X83)
| p2(X83)
| p1(X83)
| ! [X84] : ~ r1(X83,X84) ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X85] :
( ~ r1(X0,X85)
| p4(X85)
| p3(X85)
| p2(X85)
| p1(X85)
| ! [X86] : ~ r1(X85,X86) )
| ~ ! [X87] :
( ~ r1(X0,X87)
| p3(X87)
| p2(X87)
| p1(X87)
| ! [X88] :
( ~ r1(X87,X88)
| p4(X88)
| p3(X88)
| p2(X88)
| p1(X88)
| ! [X89] : ~ r1(X88,X89) )
| ~ ! [X90] :
( ~ r1(X87,X90)
| ! [X91] :
( ~ r1(X90,X91)
| p3(X91)
| p2(X91)
| p1(X91)
| ! [X92] :
( ~ r1(X91,X92)
| p4(X92)
| p3(X92)
| p2(X92)
| p1(X92)
| ! [X93] : ~ r1(X92,X93) ) )
| ~ ( p3(X90)
| p2(X90)
| p1(X90)
| ! [X94] :
( ~ r1(X90,X94)
| p4(X94)
| p3(X94)
| p2(X94)
| p1(X94)
| ! [X95] : ~ r1(X94,X95) ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X96] :
( ~ r1(X0,X96)
| p4(X96)
| p3(X96)
| p2(X96)
| p1(X96)
| ! [X97] : ~ r1(X96,X97) )
| ~ ! [X98] :
( ~ r1(X0,X98)
| p2(X98)
| p1(X98)
| ! [X99] :
( ~ r1(X98,X99)
| p4(X99)
| p3(X99)
| p2(X99)
| p1(X99)
| ! [X100] : ~ r1(X99,X100) )
| ~ ! [X101] :
( ~ r1(X98,X101)
| ! [X102] :
( ~ r1(X101,X102)
| p2(X102)
| p1(X102)
| ! [X103] :
( ~ r1(X102,X103)
| p4(X103)
| p3(X103)
| p2(X103)
| p1(X103)
| ! [X104] : ~ r1(X103,X104) ) )
| ~ ( p2(X101)
| p1(X101)
| ! [X105] :
( ~ r1(X101,X105)
| p4(X105)
| p3(X105)
| p2(X105)
| p1(X105)
| ! [X106] : ~ r1(X105,X106) ) ) ) ) )
& ( p1(X0)
| ! [X107] :
( ~ r1(X0,X107)
| p4(X107)
| p3(X107)
| p2(X107)
| p1(X107)
| ! [X108] : ~ r1(X107,X108) )
| ~ ! [X109] :
( ~ r1(X0,X109)
| p1(X109)
| ! [X110] :
( ~ r1(X109,X110)
| p4(X110)
| p3(X110)
| p2(X110)
| p1(X110)
| ! [X111] : ~ r1(X110,X111) )
| ~ ! [X112] :
( ~ r1(X109,X112)
| ! [X113] :
( ~ r1(X112,X113)
| p1(X113)
| ! [X114] :
( ~ r1(X113,X114)
| p4(X114)
| p3(X114)
| p2(X114)
| p1(X114)
| ! [X115] : ~ r1(X114,X115) ) )
| ~ ( p1(X112)
| ! [X116] :
( ~ r1(X112,X116)
| p4(X116)
| p3(X116)
| p2(X116)
| p1(X116)
| ! [X117] : ~ r1(X116,X117) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X118] : ~ r1(X0,X118)
| ~ ! [X119] :
( ~ r1(X0,X119)
| p4(X119)
| p3(X119)
| p2(X119)
| p1(X119)
| ! [X120] : ~ r1(X119,X120)
| ~ ! [X121] :
( ~ r1(X119,X121)
| ! [X122] :
( ~ r1(X121,X122)
| p4(X122)
| p3(X122)
| p2(X122)
| p1(X122)
| ! [X123] : ~ r1(X122,X123) )
| ~ ( p4(X121)
| p3(X121)
| p2(X121)
| p1(X121)
| ! [X124] : ~ r1(X121,X124) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X125] : ~ r1(X0,X125)
| ~ ! [X126] :
( ~ r1(X0,X126)
| p3(X126)
| p2(X126)
| p1(X126)
| ! [X127] : ~ r1(X126,X127)
| ~ ! [X128] :
( ~ r1(X126,X128)
| ! [X129] :
( ~ r1(X128,X129)
| p3(X129)
| p2(X129)
| p1(X129)
| ! [X130] : ~ r1(X129,X130) )
| ~ ( p3(X128)
| p2(X128)
| p1(X128)
| ! [X131] : ~ r1(X128,X131) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X132] : ~ r1(X0,X132)
| ~ ! [X133] :
( ~ r1(X0,X133)
| p2(X133)
| p1(X133)
| ! [X134] : ~ r1(X133,X134)
| ~ ! [X135] :
( ~ r1(X133,X135)
| ! [X136] :
( ~ r1(X135,X136)
| p2(X136)
| p1(X136)
| ! [X137] : ~ r1(X136,X137) )
| ~ ( p2(X135)
| p1(X135)
| ! [X138] : ~ r1(X135,X138) ) ) ) )
& ( p1(X0)
| ! [X139] : ~ r1(X0,X139)
| ~ ! [X140] :
( ~ r1(X0,X140)
| p1(X140)
| ! [X141] : ~ r1(X140,X141)
| ~ ! [X142] :
( ~ r1(X140,X142)
| ! [X143] :
( ~ r1(X142,X143)
| p1(X143)
| ! [X144] : ~ r1(X143,X144) )
| ~ ( p1(X142)
| ! [X145] : ~ r1(X142,X145) ) ) ) )
& ! [X146] :
( ~ r1(X0,X146)
| p2(X146)
| ~ ! [X147] :
( ~ r1(X146,X147)
| p2(X147)
| ~ ! [X148] :
( ~ r1(X147,X148)
| ! [X149] :
( ~ r1(X148,X149)
| p2(X149) )
| ~ p2(X148) ) ) ) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) )
| ( ? [X2] :
( r1(X0,X2)
& ~ p2(X2) )
& ! [X3] :
( ~ r1(X0,X3)
| p2(X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p2(X5) )
& p2(X4) ) ) ) )
& ? [X6] :
( r1(X0,X6)
& ~ p3(X6) )
& ! [X7] :
( ~ r1(X0,X7)
| p3(X7)
| ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ~ p3(X9) )
& p3(X8) ) )
& ( ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( r1(X10,X11)
& p5(X11) ) )
| ( ? [X12] :
( r1(X0,X12)
& ~ p2(X12) )
& ! [X13] :
( ~ r1(X0,X13)
| p2(X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14) ) ) ) )
& ? [X16] :
( r1(X0,X16)
& ~ p1(X16) )
& ! [X17] :
( ~ r1(X0,X17)
| p1(X17)
| ? [X18] :
( r1(X17,X18)
& ? [X19] :
( r1(X18,X19)
& ~ p1(X19) )
& p1(X18) ) )
& ( ( ( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ? [X22] :
( r1(X21,X22)
& ? [X23] :
( r1(X22,X23)
& ~ p2(X23) )
& p2(X22) ) ) )
| ? [X24] :
( r1(X0,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ( p2(X0)
| ? [X27] :
( r1(X0,X27)
& ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& p2(X27) ) ) )
| ? [X29] :
( r1(X0,X29)
& ( ( ? [X30] :
( r1(X29,X30)
& ? [X31] :
( r1(X30,X31)
& ~ p2(X31)
& ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32) ) ) )
& ! [X34] :
( ~ r1(X29,X34)
| p2(X34)
| ? [X35] :
( r1(X34,X35)
& ? [X36] :
( r1(X35,X36)
& ~ p2(X36) )
& p2(X35) ) ) )
| ( ~ p2(X29)
& ! [X37] :
( ~ r1(X29,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
& ! [X39] :
( ~ r1(X29,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ( ( ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42)
| ? [X43] :
( r1(X42,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44) )
& p2(X43) ) ) )
| ? [X45] :
( r1(X40,X45)
& ~ p2(X45)
& ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ p2(X46) ) ) )
& ( p2(X40)
| ? [X48] :
( r1(X40,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) ) )
| ( ? [X50] :
( r1(X39,X50)
& ? [X51] :
( r1(X50,X51)
& ~ p2(X51)
& ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52) ) ) )
& ! [X54] :
( ~ r1(X39,X54)
| p2(X54)
| ? [X55] :
( r1(X54,X55)
& ? [X56] :
( r1(X55,X56)
& ~ p2(X56) )
& p2(X55) ) ) )
| ( ~ p2(X39)
& ! [X57] :
( ~ r1(X39,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) ) ) )
& ( p1(X0)
| ! [X59] :
( ~ r1(X0,X59)
| p4(X59)
| p3(X59)
| p2(X59)
| p1(X59)
| ! [X60] :
( ~ r1(X59,X60)
| p4(X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] : ~ r1(X60,X61) ) )
| ? [X62] :
( r1(X0,X62)
& ~ p1(X62)
& ? [X63] :
( r1(X62,X63)
& ~ p4(X63)
& ~ p3(X63)
& ~ p2(X63)
& ~ p1(X63)
& ? [X64] :
( r1(X63,X64)
& ~ p4(X64)
& ~ p3(X64)
& ~ p2(X64)
& ~ p1(X64)
& ? [X65] : r1(X64,X65) ) )
& ! [X66] :
( ~ r1(X62,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| p4(X68)
| p3(X68)
| p2(X68)
| p1(X68)
| ! [X69] :
( ~ r1(X68,X69)
| p4(X69)
| p3(X69)
| p2(X69)
| p1(X69)
| ! [X70] : ~ r1(X69,X70) ) ) )
| ( ~ p1(X66)
& ? [X71] :
( r1(X66,X71)
& ~ p4(X71)
& ~ p3(X71)
& ~ p2(X71)
& ~ p1(X71)
& ? [X72] :
( r1(X71,X72)
& ~ p4(X72)
& ~ p3(X72)
& ~ p2(X72)
& ~ p1(X72)
& ? [X73] : r1(X72,X73) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X74] :
( ~ r1(X0,X74)
| p4(X74)
| p3(X74)
| p2(X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75) )
| ? [X76] :
( r1(X0,X76)
& ~ p4(X76)
& ~ p3(X76)
& ~ p2(X76)
& ~ p1(X76)
& ? [X77] :
( r1(X76,X77)
& ~ p4(X77)
& ~ p3(X77)
& ~ p2(X77)
& ~ p1(X77)
& ? [X78] : r1(X77,X78) )
& ! [X79] :
( ~ r1(X76,X79)
| ! [X80] :
( ~ r1(X79,X80)
| p4(X80)
| p3(X80)
| p2(X80)
| p1(X80)
| ! [X81] :
( ~ r1(X80,X81)
| p4(X81)
| p3(X81)
| p2(X81)
| p1(X81)
| ! [X82] : ~ r1(X81,X82) ) )
| ( ~ p4(X79)
& ~ p3(X79)
& ~ p2(X79)
& ~ p1(X79)
& ? [X83] :
( r1(X79,X83)
& ~ p4(X83)
& ~ p3(X83)
& ~ p2(X83)
& ~ p1(X83)
& ? [X84] : r1(X83,X84) ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X85] :
( ~ r1(X0,X85)
| p4(X85)
| p3(X85)
| p2(X85)
| p1(X85)
| ! [X86] : ~ r1(X85,X86) )
| ? [X87] :
( r1(X0,X87)
& ~ p3(X87)
& ~ p2(X87)
& ~ p1(X87)
& ? [X88] :
( r1(X87,X88)
& ~ p4(X88)
& ~ p3(X88)
& ~ p2(X88)
& ~ p1(X88)
& ? [X89] : r1(X88,X89) )
& ! [X90] :
( ~ r1(X87,X90)
| ! [X91] :
( ~ r1(X90,X91)
| p3(X91)
| p2(X91)
| p1(X91)
| ! [X92] :
( ~ r1(X91,X92)
| p4(X92)
| p3(X92)
| p2(X92)
| p1(X92)
| ! [X93] : ~ r1(X92,X93) ) )
| ( ~ p3(X90)
& ~ p2(X90)
& ~ p1(X90)
& ? [X94] :
( r1(X90,X94)
& ~ p4(X94)
& ~ p3(X94)
& ~ p2(X94)
& ~ p1(X94)
& ? [X95] : r1(X94,X95) ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X96] :
( ~ r1(X0,X96)
| p4(X96)
| p3(X96)
| p2(X96)
| p1(X96)
| ! [X97] : ~ r1(X96,X97) )
| ? [X98] :
( r1(X0,X98)
& ~ p2(X98)
& ~ p1(X98)
& ? [X99] :
( r1(X98,X99)
& ~ p4(X99)
& ~ p3(X99)
& ~ p2(X99)
& ~ p1(X99)
& ? [X100] : r1(X99,X100) )
& ! [X101] :
( ~ r1(X98,X101)
| ! [X102] :
( ~ r1(X101,X102)
| p2(X102)
| p1(X102)
| ! [X103] :
( ~ r1(X102,X103)
| p4(X103)
| p3(X103)
| p2(X103)
| p1(X103)
| ! [X104] : ~ r1(X103,X104) ) )
| ( ~ p2(X101)
& ~ p1(X101)
& ? [X105] :
( r1(X101,X105)
& ~ p4(X105)
& ~ p3(X105)
& ~ p2(X105)
& ~ p1(X105)
& ? [X106] : r1(X105,X106) ) ) ) ) )
& ( p1(X0)
| ! [X107] :
( ~ r1(X0,X107)
| p4(X107)
| p3(X107)
| p2(X107)
| p1(X107)
| ! [X108] : ~ r1(X107,X108) )
| ? [X109] :
( r1(X0,X109)
& ~ p1(X109)
& ? [X110] :
( r1(X109,X110)
& ~ p4(X110)
& ~ p3(X110)
& ~ p2(X110)
& ~ p1(X110)
& ? [X111] : r1(X110,X111) )
& ! [X112] :
( ~ r1(X109,X112)
| ! [X113] :
( ~ r1(X112,X113)
| p1(X113)
| ! [X114] :
( ~ r1(X113,X114)
| p4(X114)
| p3(X114)
| p2(X114)
| p1(X114)
| ! [X115] : ~ r1(X114,X115) ) )
| ( ~ p1(X112)
& ? [X116] :
( r1(X112,X116)
& ~ p4(X116)
& ~ p3(X116)
& ~ p2(X116)
& ~ p1(X116)
& ? [X117] : r1(X116,X117) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X118] : ~ r1(X0,X118)
| ? [X119] :
( r1(X0,X119)
& ~ p4(X119)
& ~ p3(X119)
& ~ p2(X119)
& ~ p1(X119)
& ? [X120] : r1(X119,X120)
& ! [X121] :
( ~ r1(X119,X121)
| ! [X122] :
( ~ r1(X121,X122)
| p4(X122)
| p3(X122)
| p2(X122)
| p1(X122)
| ! [X123] : ~ r1(X122,X123) )
| ( ~ p4(X121)
& ~ p3(X121)
& ~ p2(X121)
& ~ p1(X121)
& ? [X124] : r1(X121,X124) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X125] : ~ r1(X0,X125)
| ? [X126] :
( r1(X0,X126)
& ~ p3(X126)
& ~ p2(X126)
& ~ p1(X126)
& ? [X127] : r1(X126,X127)
& ! [X128] :
( ~ r1(X126,X128)
| ! [X129] :
( ~ r1(X128,X129)
| p3(X129)
| p2(X129)
| p1(X129)
| ! [X130] : ~ r1(X129,X130) )
| ( ~ p3(X128)
& ~ p2(X128)
& ~ p1(X128)
& ? [X131] : r1(X128,X131) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X132] : ~ r1(X0,X132)
| ? [X133] :
( r1(X0,X133)
& ~ p2(X133)
& ~ p1(X133)
& ? [X134] : r1(X133,X134)
& ! [X135] :
( ~ r1(X133,X135)
| ! [X136] :
( ~ r1(X135,X136)
| p2(X136)
| p1(X136)
| ! [X137] : ~ r1(X136,X137) )
| ( ~ p2(X135)
& ~ p1(X135)
& ? [X138] : r1(X135,X138) ) ) ) )
& ( p1(X0)
| ! [X139] : ~ r1(X0,X139)
| ? [X140] :
( r1(X0,X140)
& ~ p1(X140)
& ? [X141] : r1(X140,X141)
& ! [X142] :
( ~ r1(X140,X142)
| ! [X143] :
( ~ r1(X142,X143)
| p1(X143)
| ! [X144] : ~ r1(X143,X144) )
| ( ~ p1(X142)
& ? [X145] : r1(X142,X145) ) ) ) )
& ! [X146] :
( ~ r1(X0,X146)
| p2(X146)
| ? [X147] :
( r1(X146,X147)
& ~ p2(X147)
& ! [X148] :
( ~ r1(X147,X148)
| ! [X149] :
( ~ r1(X148,X149)
| p2(X149) )
| ~ p2(X148) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) )
| ( ? [X2] :
( r1(X0,X2)
& ~ p2(X2) )
& ! [X3] :
( ~ r1(X0,X3)
| p2(X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p2(X5) )
& p2(X4) ) ) ) )
& ? [X6] :
( r1(X0,X6)
& ~ p3(X6) )
& ! [X7] :
( ~ r1(X0,X7)
| p3(X7)
| ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ~ p3(X9) )
& p3(X8) ) )
& ( ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( r1(X10,X11)
& p5(X11) ) )
| ( ? [X12] :
( r1(X0,X12)
& ~ p2(X12) )
& ! [X13] :
( ~ r1(X0,X13)
| p2(X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14) ) ) ) )
& ? [X16] :
( r1(X0,X16)
& ~ p1(X16) )
& ! [X17] :
( ~ r1(X0,X17)
| p1(X17)
| ? [X18] :
( r1(X17,X18)
& ? [X19] :
( r1(X18,X19)
& ~ p1(X19) )
& p1(X18) ) )
& ( ( ( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ? [X22] :
( r1(X21,X22)
& ? [X23] :
( r1(X22,X23)
& ~ p2(X23) )
& p2(X22) ) ) )
| ? [X24] :
( r1(X0,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ( p2(X0)
| ? [X27] :
( r1(X0,X27)
& ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& p2(X27) ) ) )
| ? [X29] :
( r1(X0,X29)
& ( ( ? [X30] :
( r1(X29,X30)
& ? [X31] :
( r1(X30,X31)
& ~ p2(X31)
& ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32) ) ) )
& ! [X34] :
( ~ r1(X29,X34)
| p2(X34)
| ? [X35] :
( r1(X34,X35)
& ? [X36] :
( r1(X35,X36)
& ~ p2(X36) )
& p2(X35) ) ) )
| ( ~ p2(X29)
& ! [X37] :
( ~ r1(X29,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
& ! [X39] :
( ~ r1(X29,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ( ( ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42)
| ? [X43] :
( r1(X42,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44) )
& p2(X43) ) ) )
| ? [X45] :
( r1(X40,X45)
& ~ p2(X45)
& ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ p2(X46) ) ) )
& ( p2(X40)
| ? [X48] :
( r1(X40,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) ) )
| ( ? [X50] :
( r1(X39,X50)
& ? [X51] :
( r1(X50,X51)
& ~ p2(X51)
& ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52) ) ) )
& ! [X54] :
( ~ r1(X39,X54)
| p2(X54)
| ? [X55] :
( r1(X54,X55)
& ? [X56] :
( r1(X55,X56)
& ~ p2(X56) )
& p2(X55) ) ) )
| ( ~ p2(X39)
& ! [X57] :
( ~ r1(X39,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) ) ) )
& ( p1(X0)
| ! [X59] :
( ~ r1(X0,X59)
| p4(X59)
| p3(X59)
| p2(X59)
| p1(X59)
| ! [X60] :
( ~ r1(X59,X60)
| p4(X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] : ~ r1(X60,X61) ) )
| ? [X62] :
( r1(X0,X62)
& ~ p1(X62)
& ? [X63] :
( r1(X62,X63)
& ~ p4(X63)
& ~ p3(X63)
& ~ p2(X63)
& ~ p1(X63)
& ? [X64] :
( r1(X63,X64)
& ~ p4(X64)
& ~ p3(X64)
& ~ p2(X64)
& ~ p1(X64)
& ? [X65] : r1(X64,X65) ) )
& ! [X66] :
( ~ r1(X62,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| p4(X68)
| p3(X68)
| p2(X68)
| p1(X68)
| ! [X69] :
( ~ r1(X68,X69)
| p4(X69)
| p3(X69)
| p2(X69)
| p1(X69)
| ! [X70] : ~ r1(X69,X70) ) ) )
| ( ~ p1(X66)
& ? [X71] :
( r1(X66,X71)
& ~ p4(X71)
& ~ p3(X71)
& ~ p2(X71)
& ~ p1(X71)
& ? [X72] :
( r1(X71,X72)
& ~ p4(X72)
& ~ p3(X72)
& ~ p2(X72)
& ~ p1(X72)
& ? [X73] : r1(X72,X73) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X74] :
( ~ r1(X0,X74)
| p4(X74)
| p3(X74)
| p2(X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75) )
| ? [X76] :
( r1(X0,X76)
& ~ p4(X76)
& ~ p3(X76)
& ~ p2(X76)
& ~ p1(X76)
& ? [X77] :
( r1(X76,X77)
& ~ p4(X77)
& ~ p3(X77)
& ~ p2(X77)
& ~ p1(X77)
& ? [X78] : r1(X77,X78) )
& ! [X79] :
( ~ r1(X76,X79)
| ! [X80] :
( ~ r1(X79,X80)
| p4(X80)
| p3(X80)
| p2(X80)
| p1(X80)
| ! [X81] :
( ~ r1(X80,X81)
| p4(X81)
| p3(X81)
| p2(X81)
| p1(X81)
| ! [X82] : ~ r1(X81,X82) ) )
| ( ~ p4(X79)
& ~ p3(X79)
& ~ p2(X79)
& ~ p1(X79)
& ? [X83] :
( r1(X79,X83)
& ~ p4(X83)
& ~ p3(X83)
& ~ p2(X83)
& ~ p1(X83)
& ? [X84] : r1(X83,X84) ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X85] :
( ~ r1(X0,X85)
| p4(X85)
| p3(X85)
| p2(X85)
| p1(X85)
| ! [X86] : ~ r1(X85,X86) )
| ? [X87] :
( r1(X0,X87)
& ~ p3(X87)
& ~ p2(X87)
& ~ p1(X87)
& ? [X88] :
( r1(X87,X88)
& ~ p4(X88)
& ~ p3(X88)
& ~ p2(X88)
& ~ p1(X88)
& ? [X89] : r1(X88,X89) )
& ! [X90] :
( ~ r1(X87,X90)
| ! [X91] :
( ~ r1(X90,X91)
| p3(X91)
| p2(X91)
| p1(X91)
| ! [X92] :
( ~ r1(X91,X92)
| p4(X92)
| p3(X92)
| p2(X92)
| p1(X92)
| ! [X93] : ~ r1(X92,X93) ) )
| ( ~ p3(X90)
& ~ p2(X90)
& ~ p1(X90)
& ? [X94] :
( r1(X90,X94)
& ~ p4(X94)
& ~ p3(X94)
& ~ p2(X94)
& ~ p1(X94)
& ? [X95] : r1(X94,X95) ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X96] :
( ~ r1(X0,X96)
| p4(X96)
| p3(X96)
| p2(X96)
| p1(X96)
| ! [X97] : ~ r1(X96,X97) )
| ? [X98] :
( r1(X0,X98)
& ~ p2(X98)
& ~ p1(X98)
& ? [X99] :
( r1(X98,X99)
& ~ p4(X99)
& ~ p3(X99)
& ~ p2(X99)
& ~ p1(X99)
& ? [X100] : r1(X99,X100) )
& ! [X101] :
( ~ r1(X98,X101)
| ! [X102] :
( ~ r1(X101,X102)
| p2(X102)
| p1(X102)
| ! [X103] :
( ~ r1(X102,X103)
| p4(X103)
| p3(X103)
| p2(X103)
| p1(X103)
| ! [X104] : ~ r1(X103,X104) ) )
| ( ~ p2(X101)
& ~ p1(X101)
& ? [X105] :
( r1(X101,X105)
& ~ p4(X105)
& ~ p3(X105)
& ~ p2(X105)
& ~ p1(X105)
& ? [X106] : r1(X105,X106) ) ) ) ) )
& ( p1(X0)
| ! [X107] :
( ~ r1(X0,X107)
| p4(X107)
| p3(X107)
| p2(X107)
| p1(X107)
| ! [X108] : ~ r1(X107,X108) )
| ? [X109] :
( r1(X0,X109)
& ~ p1(X109)
& ? [X110] :
( r1(X109,X110)
& ~ p4(X110)
& ~ p3(X110)
& ~ p2(X110)
& ~ p1(X110)
& ? [X111] : r1(X110,X111) )
& ! [X112] :
( ~ r1(X109,X112)
| ! [X113] :
( ~ r1(X112,X113)
| p1(X113)
| ! [X114] :
( ~ r1(X113,X114)
| p4(X114)
| p3(X114)
| p2(X114)
| p1(X114)
| ! [X115] : ~ r1(X114,X115) ) )
| ( ~ p1(X112)
& ? [X116] :
( r1(X112,X116)
& ~ p4(X116)
& ~ p3(X116)
& ~ p2(X116)
& ~ p1(X116)
& ? [X117] : r1(X116,X117) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X118] : ~ r1(X0,X118)
| ? [X119] :
( r1(X0,X119)
& ~ p4(X119)
& ~ p3(X119)
& ~ p2(X119)
& ~ p1(X119)
& ? [X120] : r1(X119,X120)
& ! [X121] :
( ~ r1(X119,X121)
| ! [X122] :
( ~ r1(X121,X122)
| p4(X122)
| p3(X122)
| p2(X122)
| p1(X122)
| ! [X123] : ~ r1(X122,X123) )
| ( ~ p4(X121)
& ~ p3(X121)
& ~ p2(X121)
& ~ p1(X121)
& ? [X124] : r1(X121,X124) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X125] : ~ r1(X0,X125)
| ? [X126] :
( r1(X0,X126)
& ~ p3(X126)
& ~ p2(X126)
& ~ p1(X126)
& ? [X127] : r1(X126,X127)
& ! [X128] :
( ~ r1(X126,X128)
| ! [X129] :
( ~ r1(X128,X129)
| p3(X129)
| p2(X129)
| p1(X129)
| ! [X130] : ~ r1(X129,X130) )
| ( ~ p3(X128)
& ~ p2(X128)
& ~ p1(X128)
& ? [X131] : r1(X128,X131) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X132] : ~ r1(X0,X132)
| ? [X133] :
( r1(X0,X133)
& ~ p2(X133)
& ~ p1(X133)
& ? [X134] : r1(X133,X134)
& ! [X135] :
( ~ r1(X133,X135)
| ! [X136] :
( ~ r1(X135,X136)
| p2(X136)
| p1(X136)
| ! [X137] : ~ r1(X136,X137) )
| ( ~ p2(X135)
& ~ p1(X135)
& ? [X138] : r1(X135,X138) ) ) ) )
& ( p1(X0)
| ! [X139] : ~ r1(X0,X139)
| ? [X140] :
( r1(X0,X140)
& ~ p1(X140)
& ? [X141] : r1(X140,X141)
& ! [X142] :
( ~ r1(X140,X142)
| ! [X143] :
( ~ r1(X142,X143)
| p1(X143)
| ! [X144] : ~ r1(X143,X144) )
| ( ~ p1(X142)
& ? [X145] : r1(X142,X145) ) ) ) )
& ! [X146] :
( ~ r1(X0,X146)
| p2(X146)
| ? [X147] :
( r1(X146,X147)
& ~ p2(X147)
& ! [X148] :
( ~ r1(X147,X148)
| ! [X149] :
( ~ r1(X148,X149)
| p2(X149) )
| ~ p2(X148) ) ) ) ),
inference(flattening,[],[f7]) ).
fof(f9,definition,
! [X126] :
( ! [X128] :
( ~ r1(X126,X128)
| ! [X129] :
( ~ r1(X128,X129)
| p3(X129)
| p2(X129)
| p1(X129)
| ! [X130] : ~ r1(X129,X130) )
| ( ~ p3(X128)
& ~ p2(X128)
& ~ p1(X128)
& ? [X131] : r1(X128,X131) ) )
| ~ sP0(X126) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X119] :
( ! [X121] :
( ~ r1(X119,X121)
| ! [X122] :
( ~ r1(X121,X122)
| p4(X122)
| p3(X122)
| p2(X122)
| p1(X122)
| ! [X123] : ~ r1(X122,X123) )
| ( ~ p4(X121)
& ~ p3(X121)
& ~ p2(X121)
& ~ p1(X121)
& ? [X124] : r1(X121,X124) ) )
| ~ sP1(X119) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X109] :
( ! [X112] :
( ~ r1(X109,X112)
| ! [X113] :
( ~ r1(X112,X113)
| p1(X113)
| ! [X114] :
( ~ r1(X113,X114)
| p4(X114)
| p3(X114)
| p2(X114)
| p1(X114)
| ! [X115] : ~ r1(X114,X115) ) )
| ( ~ p1(X112)
& ? [X116] :
( r1(X112,X116)
& ~ p4(X116)
& ~ p3(X116)
& ~ p2(X116)
& ~ p1(X116)
& ? [X117] : r1(X116,X117) ) ) )
| ~ sP2(X109) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X109] :
( ? [X110] :
( r1(X109,X110)
& ~ p4(X110)
& ~ p3(X110)
& ~ p2(X110)
& ~ p1(X110)
& ? [X111] : r1(X110,X111) )
| ~ sP3(X109) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X98] :
( ! [X101] :
( ~ r1(X98,X101)
| ! [X102] :
( ~ r1(X101,X102)
| p2(X102)
| p1(X102)
| ! [X103] :
( ~ r1(X102,X103)
| p4(X103)
| p3(X103)
| p2(X103)
| p1(X103)
| ! [X104] : ~ r1(X103,X104) ) )
| ( ~ p2(X101)
& ~ p1(X101)
& ? [X105] :
( r1(X101,X105)
& ~ p4(X105)
& ~ p3(X105)
& ~ p2(X105)
& ~ p1(X105)
& ? [X106] : r1(X105,X106) ) ) )
| ~ sP4(X98) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X98] :
( ? [X99] :
( r1(X98,X99)
& ~ p4(X99)
& ~ p3(X99)
& ~ p2(X99)
& ~ p1(X99)
& ? [X100] : r1(X99,X100) )
| ~ sP5(X98) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X90] :
( ? [X94] :
( r1(X90,X94)
& ~ p4(X94)
& ~ p3(X94)
& ~ p2(X94)
& ~ p1(X94)
& ? [X95] : r1(X94,X95) )
| ~ sP6(X90) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X87] :
( ? [X88] :
( r1(X87,X88)
& ~ p4(X88)
& ~ p3(X88)
& ~ p2(X88)
& ~ p1(X88)
& ? [X89] : r1(X88,X89) )
| ~ sP7(X87) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X87] :
( ! [X90] :
( ~ r1(X87,X90)
| ! [X91] :
( ~ r1(X90,X91)
| p3(X91)
| p2(X91)
| p1(X91)
| ! [X92] :
( ~ r1(X91,X92)
| p4(X92)
| p3(X92)
| p2(X92)
| p1(X92)
| ! [X93] : ~ r1(X92,X93) ) )
| ( ~ p3(X90)
& ~ p2(X90)
& ~ p1(X90)
& sP6(X90) ) )
| ~ sP8(X87) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X79] :
( ? [X83] :
( r1(X79,X83)
& ~ p4(X83)
& ~ p3(X83)
& ~ p2(X83)
& ~ p1(X83)
& ? [X84] : r1(X83,X84) )
| ~ sP9(X79) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X76] :
( ? [X77] :
( r1(X76,X77)
& ~ p4(X77)
& ~ p3(X77)
& ~ p2(X77)
& ~ p1(X77)
& ? [X78] : r1(X77,X78) )
| ~ sP10(X76) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X76] :
( ! [X79] :
( ~ r1(X76,X79)
| ! [X80] :
( ~ r1(X79,X80)
| p4(X80)
| p3(X80)
| p2(X80)
| p1(X80)
| ! [X81] :
( ~ r1(X80,X81)
| p4(X81)
| p3(X81)
| p2(X81)
| p1(X81)
| ! [X82] : ~ r1(X81,X82) ) )
| ( ~ p4(X79)
& ~ p3(X79)
& ~ p2(X79)
& ~ p1(X79)
& sP9(X79) ) )
| ~ sP11(X76) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f21,definition,
! [X71] :
( ? [X72] :
( r1(X71,X72)
& ~ p4(X72)
& ~ p3(X72)
& ~ p2(X72)
& ~ p1(X72)
& ? [X73] : r1(X72,X73) )
| ~ sP12(X71) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f22,definition,
! [X63] :
( ? [X64] :
( r1(X63,X64)
& ~ p4(X64)
& ~ p3(X64)
& ~ p2(X64)
& ~ p1(X64)
& ? [X65] : r1(X64,X65) )
| ~ sP13(X63) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X62] :
( ! [X66] :
( ~ r1(X62,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| p4(X68)
| p3(X68)
| p2(X68)
| p1(X68)
| ! [X69] :
( ~ r1(X68,X69)
| p4(X69)
| p3(X69)
| p2(X69)
| p1(X69)
| ! [X70] : ~ r1(X69,X70) ) ) )
| ( ~ p1(X66)
& ? [X71] :
( r1(X66,X71)
& ~ p4(X71)
& ~ p3(X71)
& ~ p2(X71)
& ~ p1(X71)
& sP12(X71) ) ) )
| ~ sP14(X62) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f24,definition,
! [X62] :
( ? [X63] :
( r1(X62,X63)
& ~ p4(X63)
& ~ p3(X63)
& ~ p2(X63)
& ~ p1(X63)
& sP13(X63) )
| ~ sP15(X62) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f25,definition,
! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42)
| ? [X43] :
( r1(X42,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44) )
& p2(X43) ) ) )
| ~ sP16(X40) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f26,definition,
! [X39] :
( ( ? [X50] :
( r1(X39,X50)
& ? [X51] :
( r1(X50,X51)
& ~ p2(X51)
& ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52) ) ) )
& ! [X54] :
( ~ r1(X39,X54)
| p2(X54)
| ? [X55] :
( r1(X54,X55)
& ? [X56] :
( r1(X55,X56)
& ~ p2(X56) )
& p2(X55) ) ) )
| ~ sP17(X39) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f27,definition,
! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| ( ( sP16(X40)
| ? [X45] :
( r1(X40,X45)
& ~ p2(X45)
& ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ p2(X46) ) ) )
& ( p2(X40)
| ? [X48] :
( r1(X40,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) ) )
| ~ sP18(X39) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f28,definition,
! [X29] :
( ( ? [X30] :
( r1(X29,X30)
& ? [X31] :
( r1(X30,X31)
& ~ p2(X31)
& ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32) ) ) )
& ! [X34] :
( ~ r1(X29,X34)
| p2(X34)
| ? [X35] :
( r1(X34,X35)
& ? [X36] :
( r1(X35,X36)
& ~ p2(X36) )
& p2(X35) ) ) )
| ~ sP19(X29) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f29,definition,
! [X0] :
( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ? [X22] :
( r1(X21,X22)
& ? [X23] :
( r1(X22,X23)
& ~ p2(X23) )
& p2(X22) ) ) )
| ~ sP20(X0) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f30,definition,
! [X0] :
( ( ( sP20(X0)
| ? [X24] :
( r1(X0,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ( p2(X0)
| ? [X27] :
( r1(X0,X27)
& ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& p2(X27) ) ) )
| ~ sP21(X0) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f31,definition,
! [X0] :
( ( ? [X12] :
( r1(X0,X12)
& ~ p2(X12) )
& ! [X13] :
( ~ r1(X0,X13)
| p2(X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14) ) ) )
| ~ sP22(X0) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f32,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) )
| ( ? [X2] :
( r1(X0,X2)
& ~ p2(X2) )
& ! [X3] :
( ~ r1(X0,X3)
| p2(X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p2(X5) )
& p2(X4) ) ) ) )
& ? [X6] :
( r1(X0,X6)
& ~ p3(X6) )
& ! [X7] :
( ~ r1(X0,X7)
| p3(X7)
| ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ~ p3(X9) )
& p3(X8) ) )
& ( ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( r1(X10,X11)
& p5(X11) ) )
| sP22(X0) )
& ? [X16] :
( r1(X0,X16)
& ~ p1(X16) )
& ! [X17] :
( ~ r1(X0,X17)
| p1(X17)
| ? [X18] :
( r1(X17,X18)
& ? [X19] :
( r1(X18,X19)
& ~ p1(X19) )
& p1(X18) ) )
& ( sP21(X0)
| ? [X29] :
( r1(X0,X29)
& ( sP19(X29)
| ( ~ p2(X29)
& ! [X37] :
( ~ r1(X29,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
& ! [X39] :
( ~ r1(X29,X39)
| sP18(X39)
| sP17(X39)
| ( ~ p2(X39)
& ! [X57] :
( ~ r1(X39,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) ) ) )
& ( p1(X0)
| ! [X59] :
( ~ r1(X0,X59)
| p4(X59)
| p3(X59)
| p2(X59)
| p1(X59)
| ! [X60] :
( ~ r1(X59,X60)
| p4(X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] : ~ r1(X60,X61) ) )
| ? [X62] :
( r1(X0,X62)
& ~ p1(X62)
& sP15(X62)
& sP14(X62) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X74] :
( ~ r1(X0,X74)
| p4(X74)
| p3(X74)
| p2(X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75) )
| ? [X76] :
( r1(X0,X76)
& ~ p4(X76)
& ~ p3(X76)
& ~ p2(X76)
& ~ p1(X76)
& sP10(X76)
& sP11(X76) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X85] :
( ~ r1(X0,X85)
| p4(X85)
| p3(X85)
| p2(X85)
| p1(X85)
| ! [X86] : ~ r1(X85,X86) )
| ? [X87] :
( r1(X0,X87)
& ~ p3(X87)
& ~ p2(X87)
& ~ p1(X87)
& sP7(X87)
& sP8(X87) ) )
& ( p2(X0)
| p1(X0)
| ! [X96] :
( ~ r1(X0,X96)
| p4(X96)
| p3(X96)
| p2(X96)
| p1(X96)
| ! [X97] : ~ r1(X96,X97) )
| ? [X98] :
( r1(X0,X98)
& ~ p2(X98)
& ~ p1(X98)
& sP5(X98)
& sP4(X98) ) )
& ( p1(X0)
| ! [X107] :
( ~ r1(X0,X107)
| p4(X107)
| p3(X107)
| p2(X107)
| p1(X107)
| ! [X108] : ~ r1(X107,X108) )
| ? [X109] :
( r1(X0,X109)
& ~ p1(X109)
& sP3(X109)
& sP2(X109) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X118] : ~ r1(X0,X118)
| ? [X119] :
( r1(X0,X119)
& ~ p4(X119)
& ~ p3(X119)
& ~ p2(X119)
& ~ p1(X119)
& ? [X120] : r1(X119,X120)
& sP1(X119) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X125] : ~ r1(X0,X125)
| ? [X126] :
( r1(X0,X126)
& ~ p3(X126)
& ~ p2(X126)
& ~ p1(X126)
& ? [X127] : r1(X126,X127)
& sP0(X126) ) )
& ( p2(X0)
| p1(X0)
| ! [X132] : ~ r1(X0,X132)
| ? [X133] :
( r1(X0,X133)
& ~ p2(X133)
& ~ p1(X133)
& ? [X134] : r1(X133,X134)
& ! [X135] :
( ~ r1(X133,X135)
| ! [X136] :
( ~ r1(X135,X136)
| p2(X136)
| p1(X136)
| ! [X137] : ~ r1(X136,X137) )
| ( ~ p2(X135)
& ~ p1(X135)
& ? [X138] : r1(X135,X138) ) ) ) )
& ( p1(X0)
| ! [X139] : ~ r1(X0,X139)
| ? [X140] :
( r1(X0,X140)
& ~ p1(X140)
& ? [X141] : r1(X140,X141)
& ! [X142] :
( ~ r1(X140,X142)
| ! [X143] :
( ~ r1(X142,X143)
| p1(X143)
| ! [X144] : ~ r1(X143,X144) )
| ( ~ p1(X142)
& ? [X145] : r1(X142,X145) ) ) ) )
& ! [X146] :
( ~ r1(X0,X146)
| p2(X146)
| ? [X147] :
( r1(X146,X147)
& ~ p2(X147)
& ! [X148] :
( ~ r1(X147,X148)
| ! [X149] :
( ~ r1(X148,X149)
| p2(X149) )
| ~ p2(X148) ) ) ) ),
inference(definition_folding,[],[f8,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f33,plain,
! [X0] :
( ( ? [X12] :
( r1(X0,X12)
& ~ p2(X12) )
& ! [X13] :
( ~ r1(X0,X13)
| p2(X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14) ) ) )
| ~ sP22(X0) ),
inference(nnf_transformation,[],[f31]) ).
fof(f34,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p2(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) ) ) )
| ~ sP22(X0) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ( r1(X0,sK23(X0))
& ~ p2(sK23(X0))
& ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ( r1(X2,sK24(X2))
& r1(sK24(X2),sK25(X2))
& ~ p2(sK25(X2))
& p2(sK24(X2)) ) ) )
| ~ sP22(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24,sK25]),skolemize(X1,sK23(X0)),skolemize(X3,sK24(X2)),skolemize(X4,sK25(X2))],[f34]) ).
fof(f36,plain,
! [X0] :
( ( ( sP20(X0)
| ? [X24] :
( r1(X0,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ( p2(X0)
| ? [X27] :
( r1(X0,X27)
& ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& p2(X27) ) ) )
| ~ sP21(X0) ),
inference(nnf_transformation,[],[f30]) ).
fof(f37,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,[],[f36]) ).
fof(f38,plain,
! [X0] :
( ( ( sP20(X0)
| ( r1(X0,sK26(X0))
& ~ p2(sK26(X0))
& ! [X2] :
( ~ r1(sK26(X0),X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ p2(X2) ) ) )
& ( p2(X0)
| ( r1(X0,sK27(X0))
& r1(sK27(X0),sK28(X0))
& ~ p2(sK28(X0))
& p2(sK27(X0)) ) ) )
| ~ sP21(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27,sK28]),skolemize(X1,sK26(X0)),skolemize(X4,sK27(X0)),skolemize(X5,sK28(X0))],[f37]) ).
fof(f39,plain,
! [X0] :
( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ? [X22] :
( r1(X21,X22)
& ? [X23] :
( r1(X22,X23)
& ~ p2(X23) )
& p2(X22) ) ) )
| ~ sP20(X0) ),
inference(nnf_transformation,[],[f29]) ).
fof(f40,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,[],[f39]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ( r1(X2,sK29(X2))
& r1(sK29(X2),sK30(X2))
& ~ p2(sK30(X2))
& p2(sK29(X2)) ) ) )
| ~ sP20(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29,sK30]),skolemize(X3,sK29(X2)),skolemize(X4,sK30(X2))],[f40]) ).
fof(f42,plain,
! [X29] :
( ( ? [X30] :
( r1(X29,X30)
& ? [X31] :
( r1(X30,X31)
& ~ p2(X31)
& ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32) ) ) )
& ! [X34] :
( ~ r1(X29,X34)
| p2(X34)
| ? [X35] :
( r1(X34,X35)
& ? [X36] :
( r1(X35,X36)
& ~ p2(X36) )
& p2(X35) ) ) )
| ~ sP19(X29) ),
inference(nnf_transformation,[],[f28]) ).
fof(f43,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,[],[f42]) ).
fof(f44,plain,
! [X0] :
( ( r1(X0,sK31(X0))
& r1(sK31(X0),sK32(X0))
& ~ p2(sK32(X0))
& ! [X3] :
( ~ r1(sK32(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ( r1(X5,sK33(X5))
& r1(sK33(X5),sK34(X5))
& ~ p2(sK34(X5))
& p2(sK33(X5)) ) ) )
| ~ sP19(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32,sK33,sK34]),skolemize(X1,sK31(X0)),skolemize(X2,sK32(X0)),skolemize(X6,sK33(X5)),skolemize(X7,sK34(X5))],[f43]) ).
fof(f45,plain,
! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| ( ( sP16(X40)
| ? [X45] :
( r1(X40,X45)
& ~ p2(X45)
& ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ p2(X46) ) ) )
& ( p2(X40)
| ? [X48] :
( r1(X40,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) ) )
| ~ sP18(X39) ),
inference(nnf_transformation,[],[f27]) ).
fof(f46,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,[],[f45]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( sP16(X1)
| ( r1(X1,sK35(X1))
& ~ p2(sK35(X1))
& ! [X3] :
( ~ r1(sK35(X1),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ( p2(X1)
| ( r1(X1,sK36(X1))
& r1(sK36(X1),sK37(X1))
& ~ p2(sK37(X1))
& p2(sK36(X1)) ) ) ) )
| ~ sP18(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35,sK36,sK37]),skolemize(X2,sK35(X1)),skolemize(X5,sK36(X1)),skolemize(X6,sK37(X1))],[f46]) ).
fof(f48,plain,
! [X39] :
( ( ? [X50] :
( r1(X39,X50)
& ? [X51] :
( r1(X50,X51)
& ~ p2(X51)
& ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52) ) ) )
& ! [X54] :
( ~ r1(X39,X54)
| p2(X54)
| ? [X55] :
( r1(X54,X55)
& ? [X56] :
( r1(X55,X56)
& ~ p2(X56) )
& p2(X55) ) ) )
| ~ sP17(X39) ),
inference(nnf_transformation,[],[f26]) ).
fof(f49,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,[],[f48]) ).
fof(f50,plain,
! [X0] :
( ( r1(X0,sK38(X0))
& r1(sK38(X0),sK39(X0))
& ~ p2(sK39(X0))
& ! [X3] :
( ~ r1(sK39(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ( r1(X5,sK40(X5))
& r1(sK40(X5),sK41(X5))
& ~ p2(sK41(X5))
& p2(sK40(X5)) ) ) )
| ~ sP17(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39,sK40,sK41]),skolemize(X1,sK38(X0)),skolemize(X2,sK39(X0)),skolemize(X6,sK40(X5)),skolemize(X7,sK41(X5))],[f49]) ).
fof(f100,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) )
| ( ? [X2] :
( r1(X0,X2)
& ~ p2(X2) )
& ! [X3] :
( ~ r1(X0,X3)
| p2(X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p2(X5) )
& p2(X4) ) ) ) )
& ? [X6] :
( r1(X0,X6)
& ~ p3(X6) )
& ! [X7] :
( ~ r1(X0,X7)
| p3(X7)
| ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ~ p3(X9) )
& p3(X8) ) )
& ( ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( r1(X10,X11)
& p5(X11) ) )
| sP22(X0) )
& ? [X12] :
( r1(X0,X12)
& ~ p1(X12) )
& ! [X13] :
( ~ r1(X0,X13)
| p1(X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p1(X15) )
& p1(X14) ) )
& ( sP21(X0)
| ? [X16] :
( r1(X0,X16)
& ( sP19(X16)
| ( ~ p2(X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) ) ) )
& ! [X19] :
( ~ r1(X16,X19)
| sP18(X19)
| sP17(X19)
| ( ~ p2(X19)
& ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) ) ) )
& ( p1(X0)
| ! [X22] :
( ~ r1(X0,X22)
| p4(X22)
| p3(X22)
| p2(X22)
| p1(X22)
| ! [X23] :
( ~ r1(X22,X23)
| p4(X23)
| p3(X23)
| p2(X23)
| p1(X23)
| ! [X24] : ~ r1(X23,X24) ) )
| ? [X25] :
( r1(X0,X25)
& ~ p1(X25)
& sP15(X25)
& sP14(X25) ) )
& ( p4(X0)
| 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)
& ~ p4(X28)
& ~ p3(X28)
& ~ p2(X28)
& ~ p1(X28)
& sP10(X28)
& sP11(X28) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X29] :
( ~ r1(X0,X29)
| p4(X29)
| p3(X29)
| p2(X29)
| p1(X29)
| ! [X30] : ~ r1(X29,X30) )
| ? [X31] :
( r1(X0,X31)
& ~ p3(X31)
& ~ p2(X31)
& ~ p1(X31)
& sP7(X31)
& sP8(X31) ) )
& ( p2(X0)
| p1(X0)
| ! [X32] :
( ~ r1(X0,X32)
| p4(X32)
| p3(X32)
| p2(X32)
| p1(X32)
| ! [X33] : ~ r1(X32,X33) )
| ? [X34] :
( r1(X0,X34)
& ~ p2(X34)
& ~ p1(X34)
& sP5(X34)
& sP4(X34) ) )
& ( p1(X0)
| ! [X35] :
( ~ r1(X0,X35)
| p4(X35)
| p3(X35)
| p2(X35)
| p1(X35)
| ! [X36] : ~ r1(X35,X36) )
| ? [X37] :
( r1(X0,X37)
& ~ p1(X37)
& sP3(X37)
& sP2(X37) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X38] : ~ r1(X0,X38)
| ? [X39] :
( r1(X0,X39)
& ~ p4(X39)
& ~ p3(X39)
& ~ p2(X39)
& ~ p1(X39)
& ? [X40] : r1(X39,X40)
& sP1(X39) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X41] : ~ r1(X0,X41)
| ? [X42] :
( r1(X0,X42)
& ~ p3(X42)
& ~ p2(X42)
& ~ p1(X42)
& ? [X43] : r1(X42,X43)
& sP0(X42) ) )
& ( p2(X0)
| p1(X0)
| ! [X44] : ~ r1(X0,X44)
| ? [X45] :
( r1(X0,X45)
& ~ p2(X45)
& ~ p1(X45)
& ? [X46] : r1(X45,X46)
& ! [X47] :
( ~ r1(X45,X47)
| ! [X48] :
( ~ r1(X47,X48)
| p2(X48)
| p1(X48)
| ! [X49] : ~ r1(X48,X49) )
| ( ~ p2(X47)
& ~ p1(X47)
& ? [X50] : r1(X47,X50) ) ) ) )
& ( p1(X0)
| ! [X51] : ~ r1(X0,X51)
| ? [X52] :
( r1(X0,X52)
& ~ p1(X52)
& ? [X53] : r1(X52,X53)
& ! [X54] :
( ~ r1(X52,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p1(X55)
| ! [X56] : ~ r1(X55,X56) )
| ( ~ p1(X54)
& ? [X57] : r1(X54,X57) ) ) ) )
& ! [X58] :
( ~ r1(X0,X58)
| p2(X58)
| ? [X59] :
( r1(X58,X59)
& ~ p2(X59)
& ! [X60] :
( ~ r1(X59,X60)
| ! [X61] :
( ~ r1(X60,X61)
| p2(X61) )
| ~ p2(X60) ) ) ) ),
inference(rectify,[],[f32]) ).
fof(f101,plain,
( ( ! [X1] :
( ~ r1(sK68,X1)
| ~ p5(X1) )
| ( r1(sK68,sK69)
& ~ p2(sK69)
& ! [X3] :
( ~ r1(sK68,X3)
| p2(X3)
| ( r1(X3,sK70(X3))
& r1(sK70(X3),sK71(X3))
& ~ p2(sK71(X3))
& p2(sK70(X3)) ) ) ) )
& r1(sK68,sK72)
& ~ p3(sK72)
& ! [X7] :
( ~ r1(sK68,X7)
| p3(X7)
| ( r1(X7,sK73(X7))
& r1(sK73(X7),sK74(X7))
& ~ p3(sK74(X7))
& p3(sK73(X7)) ) )
& ( ! [X10] :
( ~ r1(sK68,X10)
| ( r1(X10,sK75(X10))
& p5(sK75(X10)) ) )
| sP22(sK68) )
& r1(sK68,sK76)
& ~ p1(sK76)
& ! [X13] :
( ~ r1(sK68,X13)
| p1(X13)
| ( r1(X13,sK77(X13))
& r1(sK77(X13),sK78(X13))
& ~ p1(sK78(X13))
& p1(sK77(X13)) ) )
& ( sP21(sK68)
| ( r1(sK68,sK79)
& ( sP19(sK79)
| ( ~ p2(sK79)
& ! [X17] :
( ~ r1(sK79,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) ) ) )
& ! [X19] :
( ~ r1(sK79,X19)
| sP18(X19)
| sP17(X19)
| ( ~ p2(X19)
& ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) ) ) )
& ( p1(sK68)
| ! [X22] :
( ~ r1(sK68,X22)
| p4(X22)
| p3(X22)
| p2(X22)
| p1(X22)
| ! [X23] :
( ~ r1(X22,X23)
| p4(X23)
| p3(X23)
| p2(X23)
| p1(X23)
| ! [X24] : ~ r1(X23,X24) ) )
| ( r1(sK68,sK80)
& ~ p1(sK80)
& sP15(sK80)
& sP14(sK80) ) )
& ( p4(sK68)
| p3(sK68)
| p2(sK68)
| p1(sK68)
| ! [X26] :
( ~ r1(sK68,X26)
| p4(X26)
| p3(X26)
| p2(X26)
| p1(X26)
| ! [X27] : ~ r1(X26,X27) )
| ( r1(sK68,sK81)
& ~ p4(sK81)
& ~ p3(sK81)
& ~ p2(sK81)
& ~ p1(sK81)
& sP10(sK81)
& sP11(sK81) ) )
& ( p3(sK68)
| p2(sK68)
| p1(sK68)
| ! [X29] :
( ~ r1(sK68,X29)
| p4(X29)
| p3(X29)
| p2(X29)
| p1(X29)
| ! [X30] : ~ r1(X29,X30) )
| ( r1(sK68,sK82)
& ~ p3(sK82)
& ~ p2(sK82)
& ~ p1(sK82)
& sP7(sK82)
& sP8(sK82) ) )
& ( p2(sK68)
| p1(sK68)
| ! [X32] :
( ~ r1(sK68,X32)
| p4(X32)
| p3(X32)
| p2(X32)
| p1(X32)
| ! [X33] : ~ r1(X32,X33) )
| ( r1(sK68,sK83)
& ~ p2(sK83)
& ~ p1(sK83)
& sP5(sK83)
& sP4(sK83) ) )
& ( p1(sK68)
| ! [X35] :
( ~ r1(sK68,X35)
| p4(X35)
| p3(X35)
| p2(X35)
| p1(X35)
| ! [X36] : ~ r1(X35,X36) )
| ( r1(sK68,sK84)
& ~ p1(sK84)
& sP3(sK84)
& sP2(sK84) ) )
& ( p4(sK68)
| p3(sK68)
| p2(sK68)
| p1(sK68)
| ! [X38] : ~ r1(sK68,X38)
| ( r1(sK68,sK85)
& ~ p4(sK85)
& ~ p3(sK85)
& ~ p2(sK85)
& ~ p1(sK85)
& r1(sK85,sK86)
& sP1(sK85) ) )
& ( p3(sK68)
| p2(sK68)
| p1(sK68)
| ! [X41] : ~ r1(sK68,X41)
| ( r1(sK68,sK87)
& ~ p3(sK87)
& ~ p2(sK87)
& ~ p1(sK87)
& r1(sK87,sK88)
& sP0(sK87) ) )
& ( p2(sK68)
| p1(sK68)
| ! [X44] : ~ r1(sK68,X44)
| ( r1(sK68,sK89)
& ~ p2(sK89)
& ~ p1(sK89)
& r1(sK89,sK90)
& ! [X47] :
( ~ r1(sK89,X47)
| ! [X48] :
( ~ r1(X47,X48)
| p2(X48)
| p1(X48)
| ! [X49] : ~ r1(X48,X49) )
| ( ~ p2(X47)
& ~ p1(X47)
& r1(X47,sK91(X47)) ) ) ) )
& ( p1(sK68)
| ! [X51] : ~ r1(sK68,X51)
| ( r1(sK68,sK92)
& ~ p1(sK92)
& r1(sK92,sK93)
& ! [X54] :
( ~ r1(sK92,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p1(X55)
| ! [X56] : ~ r1(X55,X56) )
| ( ~ p1(X54)
& r1(X54,sK94(X54)) ) ) ) )
& ! [X58] :
( ~ r1(sK68,X58)
| p2(X58)
| ( r1(X58,sK95(X58))
& ~ p2(sK95(X58))
& ! [X60] :
( ~ r1(sK95(X58),X60)
| ! [X61] :
( ~ r1(X60,X61)
| p2(X61) )
| ~ p2(X60) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68,sK69,sK70,sK71,sK72,sK73,sK74,sK75,sK76,sK77,sK78,sK79,sK80,sK81,sK82,sK83,sK84,sK85,sK86,sK87,sK88,sK89,sK90,sK91,sK92,sK93,sK94,sK95]),skolemize(X0,sK68),skolemize(X2,sK69),skolemize(X4,sK70(X3)),skolemize(X5,sK71(X3)),skolemize(X6,sK72),skolemize(X8,sK73(X7)),skolemize(X9,sK74(X7)),skolemize(X11,sK75(X10)),skolemize(X12,sK76),skolemize(X14,sK77(X13)),skolemize(X15,sK78(X13)),skolemize(X16,sK79),skolemize(X25,sK80),skolemize(X28,sK81),skolemize(X31,sK82),skolemize(X34,sK83),skolemize(X37,sK84),skolemize(X39,sK85),skolemize(X40,sK86),skolemize(X42,sK87),skolemize(X43,sK88),skolemize(X45,sK89),skolemize(X46,sK90),skolemize(X50,sK91(X47)),skolemize(X52,sK92),skolemize(X53,sK93),skolemize(X57,sK94(X54)),skolemize(X59,sK95(X58))],[f100]) ).
fof(f102,plain,
! [X2,X0] :
( ~ sP22(X0)
| p2(X2)
| p2(sK24(X2))
| ~ r1(X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f103,plain,
! [X2,X0] :
( ~ p2(sK25(X2))
| p2(X2)
| ~ r1(X0,X2)
| ~ sP22(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f104,plain,
! [X2,X0] :
( r1(sK24(X2),sK25(X2))
| p2(X2)
| ~ r1(X0,X2)
| ~ sP22(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f105,plain,
! [X2,X0] :
( ~ sP22(X0)
| p2(X2)
| r1(X2,sK24(X2))
| ~ r1(X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f106,plain,
! [X0] :
( ~ p2(sK23(X0))
| ~ sP22(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f107,plain,
! [X0] :
( r1(X0,sK23(X0))
| ~ sP22(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f112,plain,
! [X2,X3,X0] :
( ~ sP21(X0)
| ~ r1(sK26(X0),X2)
| ~ r1(X2,X3)
| p2(X3)
| ~ p2(X2)
| sP20(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f113,plain,
! [X0] :
( ~ p2(sK26(X0))
| sP20(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f114,plain,
! [X0] :
( ~ sP21(X0)
| r1(X0,sK26(X0))
| sP20(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ sP20(X0)
| ~ r1(X1,X2)
| p2(X2)
| p2(sK29(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ p2(sK30(X2))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(X0,X1)
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f117,plain,
! [X2,X0,X1] :
( r1(sK29(X2),sK30(X2))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(X0,X1)
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ sP20(X0)
| ~ r1(X1,X2)
| p2(X2)
| r1(X2,sK29(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f119,plain,
! [X0,X5] :
( ~ sP19(X0)
| p2(X5)
| p2(sK33(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f44]) ).
fof(f120,plain,
! [X0,X5] :
( ~ p2(sK34(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f121,plain,
! [X0,X5] :
( r1(sK33(X5),sK34(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f122,plain,
! [X0,X5] :
( ~ sP19(X0)
| p2(X5)
| r1(X5,sK33(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f44]) ).
fof(f123,plain,
! [X3,X0,X4] :
( ~ sP19(X0)
| ~ r1(X3,X4)
| p2(X4)
| ~ p2(X3)
| ~ r1(sK32(X0),X3) ),
inference(cnf_transformation,[],[f44]) ).
fof(f124,plain,
! [X0] :
( ~ p2(sK32(X0))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f125,plain,
! [X0] :
( r1(sK31(X0),sK32(X0))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f126,plain,
! [X0] :
( ~ sP19(X0)
| r1(X0,sK31(X0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f127,plain,
! [X0,X1] :
( p2(sK36(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f128,plain,
! [X0,X1] :
( ~ p2(sK37(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f129,plain,
! [X0,X1] :
( r1(sK36(X1),sK37(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f130,plain,
! [X0,X1] :
( ~ sP18(X0)
| p2(X1)
| r1(X1,sK36(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f134,plain,
! [X0,X5] :
( ~ sP17(X0)
| p2(X5)
| p2(sK40(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f50]) ).
fof(f135,plain,
! [X0,X5] :
( ~ p2(sK41(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f136,plain,
! [X0,X5] :
( r1(sK40(X5),sK41(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f137,plain,
! [X0,X5] :
( ~ sP17(X0)
| p2(X5)
| r1(X5,sK40(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f50]) ).
fof(f240,plain,
! [X58,X60,X61] :
( ~ p2(X60)
| p2(X58)
| ~ r1(sK95(X58),X60)
| ~ r1(X60,X61)
| p2(X61)
| ~ r1(sK68,X58) ),
inference(cnf_transformation,[],[f101]) ).
fof(f241,plain,
! [X58] :
( ~ p2(sK95(X58))
| p2(X58)
| ~ r1(sK68,X58) ),
inference(cnf_transformation,[],[f101]) ).
fof(f242,plain,
! [X58] :
( r1(X58,sK95(X58))
| p2(X58)
| ~ r1(sK68,X58) ),
inference(cnf_transformation,[],[f101]) ).
fof(f294,plain,
! [X21,X19,X20] :
( sP21(sK68)
| ~ r1(sK79,X19)
| sP18(X19)
| sP17(X19)
| ~ r1(X19,X20)
| ~ r1(X20,X21)
| p2(X21)
| ~ p2(X20) ),
inference(cnf_transformation,[],[f101]) ).
fof(f296,plain,
! [X18,X17] :
( sP21(sK68)
| sP19(sK79)
| ~ r1(sK79,X17)
| ~ r1(X17,X18)
| p2(X18)
| ~ p2(X17) ),
inference(cnf_transformation,[],[f101]) ).
fof(f297,plain,
( sP21(sK68)
| sP19(sK79)
| ~ p2(sK79) ),
inference(cnf_transformation,[],[f101]) ).
fof(f298,plain,
( sP21(sK68)
| r1(sK68,sK79) ),
inference(cnf_transformation,[],[f101]) ).
fof(f305,plain,
! [X10] :
( ~ r1(sK68,X10)
| p5(sK75(X10))
| sP22(sK68) ),
inference(cnf_transformation,[],[f101]) ).
fof(f306,plain,
! [X10] :
( ~ r1(sK68,X10)
| r1(X10,sK75(X10))
| sP22(sK68) ),
inference(cnf_transformation,[],[f101]) ).
fof(f313,plain,
! [X3,X1] :
( ~ r1(sK68,X1)
| ~ p5(X1)
| ~ r1(sK68,X3)
| p2(X3)
| p2(sK70(X3)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f314,plain,
! [X3,X1] :
( ~ r1(sK68,X1)
| ~ p5(X1)
| ~ r1(sK68,X3)
| p2(X3)
| ~ p2(sK71(X3)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f315,plain,
! [X3,X1] :
( ~ r1(sK68,X1)
| ~ p5(X1)
| ~ r1(sK68,X3)
| p2(X3)
| r1(sK70(X3),sK71(X3)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f316,plain,
! [X3,X1] :
( ~ r1(sK68,X1)
| ~ p5(X1)
| ~ r1(sK68,X3)
| p2(X3)
| r1(X3,sK70(X3)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f317,plain,
! [X1] :
( ~ r1(sK68,X1)
| ~ p5(X1)
| ~ p2(sK69) ),
inference(cnf_transformation,[],[f101]) ).
fof(f318,plain,
! [X1] :
( ~ r1(sK68,X1)
| ~ p5(X1)
| r1(sK68,sK69) ),
inference(cnf_transformation,[],[f101]) ).
fof(f319,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f596,definition,
( spl96_59
<=> ! [X20,X21,X19] :
( ~ r1(sK79,X19)
| ~ p2(X20)
| p2(X21)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| sP17(X19)
| sP18(X19) ) ),
introduced(definition,[new_symbols(definition,[spl96_59])],[avatar_definition]) ).
fof(f597,plain,
( ! [X21,X19,X20] :
( sP18(X19)
| ~ p2(X20)
| p2(X21)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| sP17(X19)
| ~ r1(sK79,X19) )
| ~ spl96_59 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f599,definition,
( spl96_60
<=> sP21(sK68) ),
introduced(definition,[new_symbols(definition,[spl96_60])],[avatar_definition]) ).
fof(f601,plain,
( sP21(sK68)
| ~ spl96_60 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f602,plain,
( spl96_59
| spl96_60 ),
inference(avatar_split_clause,[],[f294,f599,f596]) ).
fof(f608,definition,
( spl96_62
<=> ! [X18,X17] :
( ~ r1(sK79,X17)
| ~ p2(X17)
| p2(X18)
| ~ r1(X17,X18) ) ),
introduced(definition,[new_symbols(definition,[spl96_62])],[avatar_definition]) ).
fof(f609,plain,
( ! [X18,X17] :
( ~ p2(X17)
| ~ r1(sK79,X17)
| p2(X18)
| ~ r1(X17,X18) )
| ~ spl96_62 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f611,definition,
( spl96_63
<=> sP19(sK79) ),
introduced(definition,[new_symbols(definition,[spl96_63])],[avatar_definition]) ).
fof(f613,plain,
( sP19(sK79)
| ~ spl96_63 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f614,plain,
( spl96_62
| spl96_63
| spl96_60 ),
inference(avatar_split_clause,[],[f296,f599,f611,f608]) ).
fof(f616,definition,
( spl96_64
<=> p2(sK79) ),
introduced(definition,[new_symbols(definition,[spl96_64])],[avatar_definition]) ).
fof(f618,plain,
( ~ p2(sK79)
| spl96_64 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f619,plain,
( ~ spl96_64
| spl96_63
| spl96_60 ),
inference(avatar_split_clause,[],[f297,f599,f611,f616]) ).
fof(f621,definition,
( spl96_65
<=> r1(sK68,sK79) ),
introduced(definition,[new_symbols(definition,[spl96_65])],[avatar_definition]) ).
fof(f623,plain,
( r1(sK68,sK79)
| ~ spl96_65 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f624,plain,
( spl96_65
| spl96_60 ),
inference(avatar_split_clause,[],[f298,f599,f621]) ).
fof(f626,definition,
( spl96_66
<=> sP22(sK68) ),
introduced(definition,[new_symbols(definition,[spl96_66])],[avatar_definition]) ).
fof(f628,plain,
( sP22(sK68)
| ~ spl96_66 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f630,definition,
( spl96_67
<=> ! [X10] :
( ~ r1(sK68,X10)
| p5(sK75(X10)) ) ),
introduced(definition,[new_symbols(definition,[spl96_67])],[avatar_definition]) ).
fof(f631,plain,
( ! [X10] :
( p5(sK75(X10))
| ~ r1(sK68,X10) )
| ~ spl96_67 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f632,plain,
( spl96_66
| spl96_67 ),
inference(avatar_split_clause,[],[f305,f630,f626]) ).
fof(f634,definition,
( spl96_68
<=> ! [X10] :
( ~ r1(sK68,X10)
| r1(X10,sK75(X10)) ) ),
introduced(definition,[new_symbols(definition,[spl96_68])],[avatar_definition]) ).
fof(f635,plain,
( ! [X10] :
( r1(X10,sK75(X10))
| ~ r1(sK68,X10) )
| ~ spl96_68 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f636,plain,
( spl96_66
| spl96_68 ),
inference(avatar_split_clause,[],[f306,f634,f626]) ).
fof(f638,definition,
( spl96_69
<=> ! [X3] :
( ~ r1(sK68,X3)
| p2(sK70(X3))
| p2(X3) ) ),
introduced(definition,[new_symbols(definition,[spl96_69])],[avatar_definition]) ).
fof(f639,plain,
( ! [X3] :
( p2(sK70(X3))
| ~ r1(sK68,X3)
| p2(X3) )
| ~ spl96_69 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f641,definition,
( spl96_70
<=> ! [X1] :
( ~ r1(sK68,X1)
| ~ p5(X1) ) ),
introduced(definition,[new_symbols(definition,[spl96_70])],[avatar_definition]) ).
fof(f642,plain,
( ! [X1] :
( ~ p5(X1)
| ~ r1(sK68,X1) )
| ~ spl96_70 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f643,plain,
( spl96_69
| spl96_70 ),
inference(avatar_split_clause,[],[f313,f641,f638]) ).
fof(f645,definition,
( spl96_71
<=> ! [X3] :
( ~ r1(sK68,X3)
| ~ p2(sK71(X3))
| p2(X3) ) ),
introduced(definition,[new_symbols(definition,[spl96_71])],[avatar_definition]) ).
fof(f646,plain,
( ! [X3] :
( ~ p2(sK71(X3))
| ~ r1(sK68,X3)
| p2(X3) )
| ~ spl96_71 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f647,plain,
( spl96_71
| spl96_70 ),
inference(avatar_split_clause,[],[f314,f641,f645]) ).
fof(f649,definition,
( spl96_72
<=> ! [X3] :
( ~ r1(sK68,X3)
| r1(sK70(X3),sK71(X3))
| p2(X3) ) ),
introduced(definition,[new_symbols(definition,[spl96_72])],[avatar_definition]) ).
fof(f650,plain,
( ! [X3] :
( r1(sK70(X3),sK71(X3))
| ~ r1(sK68,X3)
| p2(X3) )
| ~ spl96_72 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f651,plain,
( spl96_72
| spl96_70 ),
inference(avatar_split_clause,[],[f315,f641,f649]) ).
fof(f653,definition,
( spl96_73
<=> ! [X3] :
( ~ r1(sK68,X3)
| r1(X3,sK70(X3))
| p2(X3) ) ),
introduced(definition,[new_symbols(definition,[spl96_73])],[avatar_definition]) ).
fof(f654,plain,
( ! [X3] :
( r1(X3,sK70(X3))
| ~ r1(sK68,X3)
| p2(X3) )
| ~ spl96_73 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f655,plain,
( spl96_73
| spl96_70 ),
inference(avatar_split_clause,[],[f316,f641,f653]) ).
fof(f657,definition,
( spl96_74
<=> p2(sK69) ),
introduced(definition,[new_symbols(definition,[spl96_74])],[avatar_definition]) ).
fof(f659,plain,
( ~ p2(sK69)
| spl96_74 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f660,plain,
( ~ spl96_74
| spl96_70 ),
inference(avatar_split_clause,[],[f317,f641,f657]) ).
fof(f662,definition,
( spl96_75
<=> r1(sK68,sK69) ),
introduced(definition,[new_symbols(definition,[spl96_75])],[avatar_definition]) ).
fof(f664,plain,
( r1(sK68,sK69)
| ~ spl96_75 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f665,plain,
( spl96_75
| spl96_70 ),
inference(avatar_split_clause,[],[f318,f641,f662]) ).
fof(f675,definition,
( spl96_77
<=> ! [X1] :
( ~ r1(sK68,X1)
| p2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl96_77])],[avatar_definition]) ).
fof(f676,plain,
( ! [X1] :
( ~ r1(sK68,X1)
| p2(X1) )
| ~ spl96_77 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f682,plain,
( ! [X0] :
( p2(sK24(X0))
| p2(X0)
| ~ r1(sK68,X0) )
| ~ spl96_66 ),
inference(resolution,[],[f102,f628]) ).
fof(f683,plain,
( ! [X0,X1] :
( ~ r1(sK79,sK24(X0))
| ~ r1(sK68,X0)
| p2(X0)
| p2(X1)
| ~ r1(sK24(X0),X1) )
| ~ spl96_62
| ~ spl96_66 ),
inference(resolution,[],[f682,f609]) ).
fof(f687,plain,
( ! [X0] :
( r1(X0,sK24(X0))
| p2(X0)
| ~ r1(sK68,X0) )
| ~ spl96_66 ),
inference(resolution,[],[f105,f628]) ).
fof(f688,plain,
( ! [X0] :
( p2(sK79)
| ~ r1(sK68,sK79)
| ~ r1(sK68,sK79)
| p2(sK79)
| p2(X0)
| ~ r1(sK24(sK79),X0) )
| ~ spl96_62
| ~ spl96_66 ),
inference(resolution,[],[f687,f683]) ).
fof(f691,plain,
( ! [X0] :
( p2(sK79)
| ~ r1(sK68,sK79)
| p2(X0)
| ~ r1(sK24(sK79),X0) )
| ~ spl96_62
| ~ spl96_66 ),
inference(duplicate_literal_removal,[],[f688]) ).
fof(f693,plain,
( ! [X0] :
( ~ r1(sK68,sK79)
| p2(X0)
| ~ r1(sK24(sK79),X0) )
| ~ spl96_62
| spl96_64
| ~ spl96_66 ),
inference(forward_subsumption_resolution,[],[f691,f618]) ).
fof(f694,plain,
( ! [X0] :
( ~ r1(sK24(sK79),X0)
| p2(X0) )
| ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_66 ),
inference(forward_subsumption_resolution,[],[f693,f623]) ).
fof(f695,plain,
( ! [X2,X3,X0,X1] :
( sP17(X1)
| r1(X0,sK36(X0))
| ~ r1(X1,X0)
| ~ p2(X2)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| p2(X0)
| ~ r1(sK79,X1) )
| ~ spl96_59 ),
inference(resolution,[],[f130,f597]) ).
fof(f731,plain,
( ! [X0] :
( p2(sK79)
| ~ r1(X0,sK79)
| ~ sP22(X0)
| p2(sK25(sK79)) )
| ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_66 ),
inference(resolution,[],[f104,f694]) ).
fof(f732,plain,
( ! [X0] :
( p2(sK79)
| ~ r1(X0,sK79)
| ~ sP22(X0) )
| ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_66 ),
inference(forward_subsumption_resolution,[],[f731,f103]) ).
fof(f733,plain,
( ! [X0] :
( ~ sP22(X0)
| ~ r1(X0,sK79) )
| ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_66 ),
inference(forward_subsumption_resolution,[],[f732,f618]) ).
fof(f734,plain,
( ~ r1(sK68,sK79)
| ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_66 ),
inference(resolution,[],[f733,f628]) ).
fof(f735,plain,
( $false
| ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_66 ),
inference(forward_subsumption_resolution,[],[f734,f623]) ).
fof(f736,plain,
( ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_66 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f757,definition,
( spl96_85
<=> p2(sK32(sK79)) ),
introduced(definition,[new_symbols(definition,[spl96_85])],[avatar_definition]) ).
fof(f758,plain,
( ~ p2(sK32(sK79))
| spl96_85 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f759,plain,
( p2(sK32(sK79))
| ~ spl96_85 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f837,plain,
( ! [X0] :
( ~ r1(sK68,sK75(X0))
| ~ r1(sK68,X0) )
| ~ spl96_67
| ~ spl96_70 ),
inference(resolution,[],[f631,f642]) ).
fof(f838,plain,
( ~ r1(sK68,sK68)
| ~ r1(sK68,sK68)
| ~ spl96_67
| ~ spl96_68
| ~ spl96_70 ),
inference(resolution,[],[f837,f635]) ).
fof(f839,plain,
( ~ r1(sK68,sK68)
| ~ spl96_67
| ~ spl96_68
| ~ spl96_70 ),
inference(duplicate_literal_removal,[],[f838]) ).
fof(f840,plain,
( $false
| ~ spl96_67
| ~ spl96_68
| ~ spl96_70 ),
inference(forward_subsumption_resolution,[],[f839,f319]) ).
fof(f841,plain,
( ~ spl96_67
| ~ spl96_68
| ~ spl96_70 ),
inference(avatar_contradiction_clause,[],[f840]) ).
fof(f853,definition,
( spl96_100
<=> ! [X1] :
( ~ r1(X1,sK32(sK79))
| ~ sP18(X1) ) ),
introduced(definition,[new_symbols(definition,[spl96_100])],[avatar_definition]) ).
fof(f854,plain,
( ! [X1] :
( ~ sP18(X1)
| ~ r1(X1,sK32(sK79)) )
| ~ spl96_100 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f856,definition,
( spl96_101
<=> ! [X0] :
( ~ r1(sK36(sK32(sK79)),X0)
| p2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl96_101])],[avatar_definition]) ).
fof(f857,plain,
( ! [X0] :
( ~ r1(sK36(sK32(sK79)),X0)
| p2(X0) )
| ~ spl96_101 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f861,plain,
( ! [X0,X1] :
( ~ r1(sK79,sK70(X0))
| p2(X1)
| ~ r1(sK70(X0),X1)
| ~ r1(sK68,X0)
| p2(X0) )
| ~ spl96_62
| ~ spl96_69 ),
inference(resolution,[],[f609,f639]) ).
fof(f862,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK70(sK79),X0)
| ~ r1(sK68,sK79)
| p2(sK79)
| ~ r1(sK68,sK79)
| p2(sK79) )
| ~ spl96_62
| ~ spl96_69
| ~ spl96_73 ),
inference(resolution,[],[f861,f654]) ).
fof(f863,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK70(sK79),X0)
| ~ r1(sK68,sK79)
| p2(sK79) )
| ~ spl96_62
| ~ spl96_69
| ~ spl96_73 ),
inference(duplicate_literal_removal,[],[f862]) ).
fof(f864,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK70(sK79),X0)
| p2(sK79) )
| ~ spl96_62
| ~ spl96_65
| ~ spl96_69
| ~ spl96_73 ),
inference(forward_subsumption_resolution,[],[f863,f623]) ).
fof(f865,plain,
( ! [X0] :
( ~ r1(sK70(sK79),X0)
| p2(X0) )
| ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_69
| ~ spl96_73 ),
inference(forward_subsumption_resolution,[],[f864,f618]) ).
fof(f866,plain,
( p2(sK71(sK79))
| ~ r1(sK68,sK79)
| p2(sK79)
| ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_69
| ~ spl96_72
| ~ spl96_73 ),
inference(resolution,[],[f865,f650]) ).
fof(f907,plain,
( ~ r1(sK68,sK79)
| p2(sK79)
| ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_69
| ~ spl96_71
| ~ spl96_72
| ~ spl96_73 ),
inference(forward_subsumption_resolution,[],[f866,f646]) ).
fof(f908,plain,
( p2(sK79)
| ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_69
| ~ spl96_71
| ~ spl96_72
| ~ spl96_73 ),
inference(forward_subsumption_resolution,[],[f907,f623]) ).
fof(f909,plain,
( $false
| ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_69
| ~ spl96_71
| ~ spl96_72
| ~ spl96_73 ),
inference(forward_subsumption_resolution,[],[f908,f618]) ).
fof(f910,plain,
( ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_69
| ~ spl96_71
| ~ spl96_72
| ~ spl96_73 ),
inference(avatar_contradiction_clause,[],[f909]) ).
fof(f911,plain,
( ! [X0,X1] :
( ~ r1(sK26(sK68),X0)
| ~ r1(X0,X1)
| p2(X1)
| ~ p2(X0)
| sP20(sK68) )
| ~ spl96_60 ),
inference(resolution,[],[f601,f112]) ).
fof(f912,plain,
( r1(sK68,sK26(sK68))
| sP20(sK68)
| ~ spl96_60 ),
inference(resolution,[],[f601,f114]) ).
fof(f915,definition,
( spl96_108
<=> sP20(sK68) ),
introduced(definition,[new_symbols(definition,[spl96_108])],[avatar_definition]) ).
fof(f916,plain,
( ~ sP20(sK68)
| spl96_108 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f917,plain,
( sP20(sK68)
| ~ spl96_108 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f919,definition,
( spl96_109
<=> r1(sK68,sK26(sK68)) ),
introduced(definition,[new_symbols(definition,[spl96_109])],[avatar_definition]) ).
fof(f921,plain,
( r1(sK68,sK26(sK68))
| ~ spl96_109 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f922,plain,
( spl96_108
| spl96_109
| ~ spl96_60 ),
inference(avatar_split_clause,[],[f912,f599,f919,f915]) ).
fof(f924,definition,
( spl96_110
<=> ! [X0,X1] :
( ~ r1(sK26(sK68),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl96_110])],[avatar_definition]) ).
fof(f925,plain,
( ! [X0,X1] :
( ~ p2(X0)
| ~ r1(sK26(sK68),X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl96_110 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f926,plain,
( spl96_108
| spl96_110
| ~ spl96_60 ),
inference(avatar_split_clause,[],[f911,f599,f924,f915]) ).
fof(f994,plain,
( ! [X0,X1] :
( ~ r1(sK26(sK68),sK70(X0))
| p2(X1)
| ~ r1(sK70(X0),X1)
| ~ r1(sK68,X0)
| p2(X0) )
| ~ spl96_69
| ~ spl96_110 ),
inference(resolution,[],[f925,f639]) ).
fof(f995,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK70(sK26(sK68)),X0)
| ~ r1(sK68,sK26(sK68))
| p2(sK26(sK68))
| ~ r1(sK68,sK26(sK68))
| p2(sK26(sK68)) )
| ~ spl96_69
| ~ spl96_73
| ~ spl96_110 ),
inference(resolution,[],[f994,f654]) ).
fof(f996,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK70(sK26(sK68)),X0)
| ~ r1(sK68,sK26(sK68))
| p2(sK26(sK68)) )
| ~ spl96_69
| ~ spl96_73
| ~ spl96_110 ),
inference(duplicate_literal_removal,[],[f995]) ).
fof(f997,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK70(sK26(sK68)),X0)
| p2(sK26(sK68)) )
| ~ spl96_69
| ~ spl96_73
| ~ spl96_109
| ~ spl96_110 ),
inference(forward_subsumption_resolution,[],[f996,f921]) ).
fof(f999,definition,
( spl96_119
<=> p2(sK26(sK68)) ),
introduced(definition,[new_symbols(definition,[spl96_119])],[avatar_definition]) ).
fof(f1000,plain,
( ~ p2(sK26(sK68))
| spl96_119 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f1001,plain,
( p2(sK26(sK68))
| ~ spl96_119 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f1003,definition,
( spl96_120
<=> ! [X0] :
( p2(X0)
| ~ r1(sK70(sK26(sK68)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl96_120])],[avatar_definition]) ).
fof(f1004,plain,
( ! [X0] :
( ~ r1(sK70(sK26(sK68)),X0)
| p2(X0) )
| ~ spl96_120 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1005,plain,
( spl96_119
| spl96_120
| ~ spl96_69
| ~ spl96_73
| ~ spl96_109
| ~ spl96_110 ),
inference(avatar_split_clause,[],[f997,f924,f919,f653,f638,f1003,f999]) ).
fof(f1006,plain,
( p2(sK71(sK26(sK68)))
| ~ r1(sK68,sK26(sK68))
| p2(sK26(sK68))
| ~ spl96_72
| ~ spl96_120 ),
inference(resolution,[],[f1004,f650]) ).
fof(f1047,plain,
( ~ r1(sK68,sK26(sK68))
| p2(sK26(sK68))
| ~ spl96_71
| ~ spl96_72
| ~ spl96_120 ),
inference(forward_subsumption_resolution,[],[f1006,f646]) ).
fof(f1048,plain,
( p2(sK26(sK68))
| ~ spl96_71
| ~ spl96_72
| ~ spl96_109
| ~ spl96_120 ),
inference(forward_subsumption_resolution,[],[f1047,f921]) ).
fof(f1049,plain,
( spl96_119
| ~ spl96_71
| ~ spl96_72
| ~ spl96_109
| ~ spl96_120 ),
inference(avatar_split_clause,[],[f1048,f1003,f919,f649,f645,f999]) ).
fof(f1050,plain,
( sP20(sK68)
| ~ sP21(sK68)
| ~ spl96_119 ),
inference(resolution,[],[f1001,f113]) ).
fof(f1067,plain,
( ~ sP21(sK68)
| spl96_108
| ~ spl96_119 ),
inference(forward_subsumption_resolution,[],[f1050,f916]) ).
fof(f1069,plain,
( $false
| ~ spl96_60
| spl96_108
| ~ spl96_119 ),
inference(forward_subsumption_resolution,[],[f1067,f601]) ).
fof(f1070,plain,
( ~ spl96_60
| spl96_108
| ~ spl96_119 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1072,plain,
( ! [X0,X1] :
( r1(X1,sK29(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK68,X0) )
| ~ spl96_108 ),
inference(resolution,[],[f917,f118]) ).
fof(f1073,plain,
( ! [X0,X1] :
( p2(sK29(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK68,X0) )
| ~ spl96_108 ),
inference(resolution,[],[f917,f115]) ).
fof(f1172,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK95(X2),sK29(X0))
| ~ r1(X1,X0)
| ~ r1(sK68,X1)
| p2(X2)
| p2(X0)
| ~ r1(sK29(X0),X3)
| p2(X3)
| ~ r1(sK68,X2) )
| ~ spl96_108 ),
inference(resolution,[],[f1073,f240]) ).
fof(f1189,plain,
( ! [X2,X3,X0,X1,X4] :
( r1(X4,sK40(X4))
| ~ r1(X1,X0)
| ~ p2(X2)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| p2(X0)
| ~ r1(sK79,X1)
| p2(X4)
| r1(X0,sK36(X0))
| ~ r1(X1,X4) )
| ~ spl96_59 ),
inference(resolution,[],[f695,f137]) ).
fof(f1190,plain,
( ! [X2,X3,X0,X1,X4] :
( p2(sK40(X4))
| ~ r1(X1,X0)
| ~ p2(X2)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| p2(X0)
| ~ r1(sK79,X1)
| p2(X4)
| r1(X0,sK36(X0))
| ~ r1(X1,X4) )
| ~ spl96_59 ),
inference(resolution,[],[f695,f134]) ).
fof(f1314,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK95(X1))
| ~ r1(sK68,X0)
| p2(X1)
| p2(sK95(X1))
| ~ r1(sK29(sK95(X1)),X2)
| p2(X2)
| ~ r1(sK68,X1)
| p2(sK95(X1))
| ~ r1(X3,sK95(X1))
| ~ r1(sK68,X3) )
| ~ spl96_108 ),
inference(resolution,[],[f1172,f1072]) ).
fof(f1315,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK95(X1))
| ~ r1(sK68,X0)
| p2(X1)
| p2(sK95(X1))
| ~ r1(sK29(sK95(X1)),X2)
| p2(X2)
| ~ r1(sK68,X1)
| ~ r1(X3,sK95(X1))
| ~ r1(sK68,X3) )
| ~ spl96_108 ),
inference(duplicate_literal_removal,[],[f1314]) ).
fof(f1316,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK95(X1))
| ~ r1(sK68,X0)
| p2(X1)
| ~ r1(sK29(sK95(X1)),X2)
| p2(X2)
| ~ r1(sK68,X1)
| ~ r1(X3,sK95(X1))
| ~ r1(sK68,X3) )
| ~ spl96_108 ),
inference(forward_subsumption_resolution,[],[f1315,f241]) ).
fof(f1422,plain,
( ! [X2,X0,X1] :
( ~ r1(sK68,X0)
| p2(X0)
| ~ r1(sK29(sK95(X0)),X1)
| p2(X1)
| ~ r1(sK68,X0)
| ~ r1(X2,sK95(X0))
| ~ r1(sK68,X2)
| p2(X0)
| ~ r1(sK68,X0) )
| ~ spl96_108 ),
inference(resolution,[],[f1316,f242]) ).
fof(f1426,plain,
( ! [X2,X0,X1] :
( ~ r1(X2,sK95(X0))
| p2(X0)
| ~ r1(sK29(sK95(X0)),X1)
| p2(X1)
| ~ r1(sK68,X0)
| ~ r1(sK68,X2) )
| ~ spl96_108 ),
inference(duplicate_literal_removal,[],[f1422]) ).
fof(f1505,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK29(sK95(X0)),X1)
| p2(X1)
| ~ r1(sK68,X0)
| ~ r1(sK68,X0)
| p2(X0)
| ~ r1(sK68,X0) )
| ~ spl96_108 ),
inference(resolution,[],[f1426,f242]) ).
fof(f1509,plain,
( ! [X0,X1] :
( ~ r1(sK29(sK95(X0)),X1)
| p2(X0)
| p2(X1)
| ~ r1(sK68,X0) )
| ~ spl96_108 ),
inference(duplicate_literal_removal,[],[f1505]) ).
fof(f1512,plain,
( ! [X2,X0,X1] :
( p2(X0)
| p2(sK30(sK95(X0)))
| ~ r1(sK68,X0)
| ~ r1(X1,sK95(X0))
| p2(sK95(X0))
| ~ r1(X2,X1)
| ~ sP20(X2) )
| ~ spl96_108 ),
inference(resolution,[],[f1509,f117]) ).
fof(f1530,plain,
( ! [X2,X0,X1] :
( ~ sP20(X2)
| p2(sK30(sK95(X0)))
| ~ r1(sK68,X0)
| ~ r1(X1,sK95(X0))
| ~ r1(X2,X1)
| p2(X0) )
| ~ spl96_108 ),
inference(forward_subsumption_resolution,[],[f1512,f241]) ).
fof(f1637,plain,
( ! [X0,X1] :
( ~ r1(X1,sK95(X0))
| ~ r1(sK68,X0)
| p2(sK30(sK95(X0)))
| ~ r1(sK68,X1)
| p2(X0) )
| ~ spl96_108 ),
inference(resolution,[],[f1530,f917]) ).
fof(f1640,plain,
( ! [X0] :
( ~ r1(sK68,X0)
| p2(sK30(sK95(X0)))
| ~ r1(sK68,X0)
| p2(X0)
| p2(X0)
| ~ r1(sK68,X0) )
| ~ spl96_108 ),
inference(resolution,[],[f1637,f242]) ).
fof(f1644,plain,
( ! [X0] :
( p2(sK30(sK95(X0)))
| ~ r1(sK68,X0)
| p2(X0) )
| ~ spl96_108 ),
inference(duplicate_literal_removal,[],[f1640]) ).
fof(f1652,plain,
( ! [X2,X0,X1] :
( ~ r1(sK68,X0)
| p2(X0)
| ~ r1(X1,sK95(X0))
| p2(sK95(X0))
| ~ r1(X2,X1)
| ~ sP20(X2) )
| ~ spl96_108 ),
inference(resolution,[],[f1644,f116]) ).
fof(f1656,plain,
( ! [X2,X0,X1] :
( ~ sP20(X2)
| p2(X0)
| ~ r1(X1,sK95(X0))
| ~ r1(X2,X1)
| ~ r1(sK68,X0) )
| ~ spl96_108 ),
inference(forward_subsumption_resolution,[],[f1652,f241]) ).
fof(f1666,plain,
( ! [X0,X1] :
( ~ r1(X1,sK95(X0))
| p2(X0)
| ~ r1(sK68,X1)
| ~ r1(sK68,X0) )
| ~ spl96_108 ),
inference(resolution,[],[f1656,f917]) ).
fof(f1670,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK68,X0)
| ~ r1(sK68,X0)
| p2(X0)
| ~ r1(sK68,X0) )
| ~ spl96_108 ),
inference(resolution,[],[f1666,f242]) ).
fof(f1674,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK68,X0) )
| ~ spl96_108 ),
inference(duplicate_literal_removal,[],[f1670]) ).
fof(f1675,plain,
( spl96_77
| ~ spl96_108 ),
inference(avatar_split_clause,[],[f1674,f915,f675]) ).
fof(f1678,plain,
( p2(sK69)
| ~ spl96_75
| ~ spl96_77 ),
inference(resolution,[],[f676,f664]) ).
fof(f1683,plain,
( p2(sK23(sK68))
| ~ sP22(sK68)
| ~ spl96_77 ),
inference(resolution,[],[f676,f107]) ).
fof(f1701,plain,
( $false
| spl96_74
| ~ spl96_75
| ~ spl96_77 ),
inference(forward_subsumption_resolution,[],[f1678,f659]) ).
fof(f1702,plain,
( spl96_74
| ~ spl96_75
| ~ spl96_77 ),
inference(avatar_contradiction_clause,[],[f1701]) ).
fof(f1758,plain,
( ~ sP22(sK68)
| ~ spl96_77 ),
inference(forward_subsumption_resolution,[],[f1683,f106]) ).
fof(f1759,plain,
( $false
| ~ spl96_66
| ~ spl96_77 ),
inference(forward_subsumption_resolution,[],[f1758,f628]) ).
fof(f1760,plain,
( ~ spl96_66
| ~ spl96_77 ),
inference(avatar_contradiction_clause,[],[f1759]) ).
fof(f1774,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK32(sK79),X0) )
| ~ spl96_63 ),
inference(resolution,[],[f613,f123]) ).
fof(f1775,plain,
( ! [X0] :
( r1(X0,sK33(X0))
| p2(X0)
| ~ r1(sK79,X0) )
| ~ spl96_63 ),
inference(resolution,[],[f613,f122]) ).
fof(f1776,plain,
( ! [X0] :
( p2(sK33(X0))
| p2(X0)
| ~ r1(sK79,X0) )
| ~ spl96_63 ),
inference(resolution,[],[f613,f119]) ).
fof(f1777,plain,
( r1(sK79,sK31(sK79))
| ~ spl96_63 ),
inference(resolution,[],[f613,f126]) ).
fof(f1811,plain,
( ! [X2,X0,X1] :
( ~ r1(sK32(sK79),sK36(X1))
| ~ r1(sK36(X1),X0)
| p2(X0)
| p2(X1)
| ~ r1(X2,X1)
| ~ sP18(X2) )
| ~ spl96_63 ),
inference(resolution,[],[f1774,f127]) ).
fof(f1813,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r1(sK32(sK79),sK40(X1))
| ~ r1(sK40(X1),X0)
| p2(X0)
| ~ r1(X2,X3)
| ~ p2(X4)
| p2(X5)
| ~ r1(X4,X5)
| ~ r1(X2,X4)
| p2(X3)
| ~ r1(sK79,X2)
| p2(X1)
| r1(X3,sK36(X3))
| ~ r1(X2,X1) )
| ~ spl96_59
| ~ spl96_63 ),
inference(resolution,[],[f1774,f1190]) ).
fof(f1885,plain,
( ! [X0] :
( p2(sK37(sK32(sK79)))
| p2(sK32(sK79))
| ~ r1(X0,sK32(sK79))
| ~ sP18(X0) )
| ~ spl96_101 ),
inference(resolution,[],[f857,f129]) ).
fof(f1947,plain,
( ! [X0] :
( p2(sK32(sK79))
| ~ r1(X0,sK32(sK79))
| ~ sP18(X0) )
| ~ spl96_101 ),
inference(forward_subsumption_resolution,[],[f1885,f128]) ).
fof(f1949,plain,
( spl96_100
| spl96_85
| ~ spl96_101 ),
inference(avatar_split_clause,[],[f1947,f856,f757,f853]) ).
fof(f2049,definition,
( spl96_245
<=> p2(sK31(sK79)) ),
introduced(definition,[new_symbols(definition,[spl96_245])],[avatar_definition]) ).
fof(f2050,plain,
( p2(sK31(sK79))
| ~ spl96_245 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f2051,plain,
( ~ p2(sK31(sK79))
| spl96_245 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f2053,definition,
( spl96_246
<=> sP17(sK31(sK79)) ),
introduced(definition,[new_symbols(definition,[spl96_246])],[avatar_definition]) ).
fof(f2054,plain,
( ~ sP17(sK31(sK79))
| spl96_246 ),
inference(avatar_component_clause,[],[f2053]) ).
fof(f2055,plain,
( sP17(sK31(sK79))
| ~ spl96_246 ),
inference(avatar_component_clause,[],[f2053]) ).
fof(f2066,definition,
( spl96_247
<=> ! [X2,X3] :
( ~ r1(sK31(sK79),X2)
| p2(X3)
| ~ r1(X2,X3)
| ~ p2(X2) ) ),
introduced(definition,[new_symbols(definition,[spl96_247])],[avatar_definition]) ).
fof(f2067,plain,
( ! [X2,X3] :
( ~ r1(sK31(sK79),X2)
| p2(X3)
| ~ r1(X2,X3)
| ~ p2(X2) )
| ~ spl96_247 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f2107,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r1(sK40(sK32(sK79)),X0)
| p2(X0)
| ~ r1(X1,X2)
| ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| p2(X2)
| ~ r1(sK79,X1)
| p2(sK32(sK79))
| r1(X2,sK36(X2))
| ~ r1(X1,sK32(sK79))
| ~ r1(X5,X6)
| ~ p2(X7)
| p2(X8)
| ~ r1(X7,X8)
| ~ r1(X5,X7)
| p2(X6)
| ~ r1(sK79,X5)
| p2(sK32(sK79))
| r1(X6,sK36(X6))
| ~ r1(X5,sK32(sK79)) )
| ~ spl96_59
| ~ spl96_63 ),
inference(resolution,[],[f1813,f1189]) ).
fof(f2108,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r1(sK40(sK32(sK79)),X0)
| p2(X0)
| ~ r1(X1,X2)
| ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| p2(X2)
| ~ r1(sK79,X1)
| p2(sK32(sK79))
| r1(X2,sK36(X2))
| ~ r1(X1,sK32(sK79))
| ~ r1(X5,X6)
| ~ p2(X7)
| p2(X8)
| ~ r1(X7,X8)
| ~ r1(X5,X7)
| p2(X6)
| ~ r1(sK79,X5)
| r1(X6,sK36(X6))
| ~ r1(X5,sK32(sK79)) )
| ~ spl96_59
| ~ spl96_63 ),
inference(duplicate_literal_removal,[],[f2107]) ).
fof(f2110,definition,
( spl96_256
<=> ! [X5,X7,X6,X8] :
( ~ r1(X5,X6)
| ~ r1(X5,sK32(sK79))
| r1(X6,sK36(X6))
| ~ r1(sK79,X5)
| p2(X6)
| ~ r1(X5,X7)
| ~ p2(X7)
| ~ r1(X7,X8)
| p2(X8) ) ),
introduced(definition,[new_symbols(definition,[spl96_256])],[avatar_definition]) ).
fof(f2111,plain,
( ! [X8,X6,X7,X5] :
( ~ r1(X5,sK32(sK79))
| ~ r1(X5,X6)
| r1(X6,sK36(X6))
| ~ r1(sK79,X5)
| p2(X6)
| ~ r1(X5,X7)
| ~ p2(X7)
| ~ r1(X7,X8)
| p2(X8) )
| ~ spl96_256 ),
inference(avatar_component_clause,[],[f2110]) ).
fof(f2113,definition,
( spl96_257
<=> ! [X0] :
( ~ r1(sK40(sK32(sK79)),X0)
| p2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl96_257])],[avatar_definition]) ).
fof(f2114,plain,
( ! [X0] :
( ~ r1(sK40(sK32(sK79)),X0)
| p2(X0) )
| ~ spl96_257 ),
inference(avatar_component_clause,[],[f2113]) ).
fof(f2115,plain,
( spl96_256
| spl96_85
| spl96_256
| spl96_257
| ~ spl96_59
| ~ spl96_63 ),
inference(avatar_split_clause,[],[f2108,f611,f596,f2113,f2110,f757,f2110]) ).
fof(f2310,plain,
( ! [X0] :
( p2(sK41(sK32(sK79)))
| p2(sK32(sK79))
| ~ r1(X0,sK32(sK79))
| ~ sP17(X0) )
| ~ spl96_257 ),
inference(resolution,[],[f2114,f136]) ).
fof(f2359,definition,
( spl96_293
<=> p2(sK40(sK32(sK79))) ),
introduced(definition,[new_symbols(definition,[spl96_293])],[avatar_definition]) ).
fof(f2360,plain,
( ~ p2(sK40(sK32(sK79)))
| spl96_293 ),
inference(avatar_component_clause,[],[f2359]) ).
fof(f2361,plain,
( p2(sK40(sK32(sK79)))
| ~ spl96_293 ),
inference(avatar_component_clause,[],[f2359]) ).
fof(f2377,plain,
( ! [X0] :
( p2(sK32(sK79))
| ~ r1(X0,sK32(sK79))
| ~ sP17(X0) )
| ~ spl96_257 ),
inference(forward_subsumption_resolution,[],[f2310,f135]) ).
fof(f2380,definition,
( spl96_297
<=> ! [X0] :
( ~ r1(X0,sK32(sK79))
| ~ sP17(X0) ) ),
introduced(definition,[new_symbols(definition,[spl96_297])],[avatar_definition]) ).
fof(f2381,plain,
( ! [X0] :
( ~ sP17(X0)
| ~ r1(X0,sK32(sK79)) )
| ~ spl96_297 ),
inference(avatar_component_clause,[],[f2380]) ).
fof(f2382,plain,
( spl96_297
| spl96_85
| ~ spl96_257 ),
inference(avatar_split_clause,[],[f2377,f2113,f757,f2380]) ).
fof(f2388,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK31(sK79),X0)
| ~ p2(sK31(sK79)) )
| ~ spl96_247 ),
inference(resolution,[],[f2067,f319]) ).
fof(f2390,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK33(sK31(sK79)),X0)
| ~ p2(sK33(sK31(sK79)))
| p2(sK31(sK79))
| ~ r1(sK79,sK31(sK79)) )
| ~ spl96_63
| ~ spl96_247 ),
inference(resolution,[],[f2067,f1775]) ).
fof(f2443,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK33(sK31(sK79)),X0)
| p2(sK31(sK79))
| ~ r1(sK79,sK31(sK79)) )
| ~ spl96_63
| ~ spl96_247 ),
inference(forward_subsumption_resolution,[],[f2390,f1776]) ).
fof(f2462,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK33(sK31(sK79)),X0)
| ~ r1(sK79,sK31(sK79)) )
| ~ spl96_63
| spl96_245
| ~ spl96_247 ),
inference(forward_subsumption_resolution,[],[f2443,f2051]) ).
fof(f2481,plain,
( ! [X0] :
( ~ r1(sK33(sK31(sK79)),X0)
| p2(X0) )
| ~ spl96_63
| spl96_245
| ~ spl96_247 ),
inference(forward_subsumption_resolution,[],[f2462,f1777]) ).
fof(f2588,plain,
( ! [X0] :
( ~ r1(sK31(sK79),X0)
| p2(X0) )
| ~ spl96_245
| ~ spl96_247 ),
inference(forward_subsumption_resolution,[],[f2388,f2050]) ).
fof(f2650,plain,
( ! [X2,X0,X1] :
( ~ r1(sK31(sK79),X0)
| r1(X0,sK36(X0))
| ~ r1(sK79,sK31(sK79))
| p2(X0)
| ~ r1(sK31(sK79),X1)
| ~ p2(X1)
| ~ r1(X1,X2)
| p2(X2)
| ~ sP19(sK79) )
| ~ spl96_256 ),
inference(resolution,[],[f2111,f125]) ).
fof(f2864,plain,
( p2(sK32(sK79))
| ~ sP19(sK79)
| ~ spl96_245
| ~ spl96_247 ),
inference(resolution,[],[f2588,f125]) ).
fof(f2881,plain,
( ~ sP19(sK79)
| ~ spl96_245
| ~ spl96_247 ),
inference(forward_subsumption_resolution,[],[f2864,f124]) ).
fof(f2882,plain,
( $false
| ~ spl96_63
| ~ spl96_245
| ~ spl96_247 ),
inference(forward_subsumption_resolution,[],[f2881,f613]) ).
fof(f2883,plain,
( ~ spl96_63
| ~ spl96_245
| ~ spl96_247 ),
inference(avatar_contradiction_clause,[],[f2882]) ).
fof(f2884,plain,
( ! [X2,X0,X1] :
( ~ r1(sK31(sK79),X0)
| r1(X0,sK36(X0))
| p2(X0)
| ~ r1(sK31(sK79),X1)
| ~ p2(X1)
| ~ r1(X1,X2)
| p2(X2)
| ~ sP19(sK79) )
| ~ spl96_256 ),
inference(forward_subsumption_resolution,[],[f2650,f126]) ).
fof(f2886,plain,
( ! [X2,X0,X1] :
( ~ r1(sK31(sK79),X0)
| r1(X0,sK36(X0))
| p2(X0)
| ~ r1(sK31(sK79),X1)
| ~ p2(X1)
| ~ r1(X1,X2)
| p2(X2) )
| ~ spl96_63
| ~ spl96_256 ),
inference(forward_subsumption_resolution,[],[f2884,f613]) ).
fof(f2888,definition,
( spl96_369
<=> ! [X0] :
( ~ r1(sK31(sK79),X0)
| p2(X0)
| r1(X0,sK36(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl96_369])],[avatar_definition]) ).
fof(f2889,plain,
( ! [X0] :
( r1(X0,sK36(X0))
| p2(X0)
| ~ r1(sK31(sK79),X0) )
| ~ spl96_369 ),
inference(avatar_component_clause,[],[f2888]) ).
fof(f2890,plain,
( spl96_247
| spl96_369
| ~ spl96_63
| ~ spl96_256 ),
inference(avatar_split_clause,[],[f2886,f2110,f611,f2888,f2066]) ).
fof(f3162,plain,
( ! [X0,X1] :
( p2(sK32(sK79))
| ~ r1(sK31(sK79),sK32(sK79))
| ~ r1(sK36(sK32(sK79)),X0)
| p2(X0)
| p2(sK32(sK79))
| ~ r1(X1,sK32(sK79))
| ~ sP18(X1) )
| ~ spl96_63
| ~ spl96_369 ),
inference(resolution,[],[f2889,f1811]) ).
fof(f3174,plain,
( ! [X0,X1] :
( p2(sK32(sK79))
| ~ r1(sK31(sK79),sK32(sK79))
| ~ r1(sK36(sK32(sK79)),X0)
| p2(X0)
| ~ r1(X1,sK32(sK79))
| ~ sP18(X1) )
| ~ spl96_63
| ~ spl96_369 ),
inference(duplicate_literal_removal,[],[f3162]) ).
fof(f3178,definition,
( spl96_398
<=> r1(sK31(sK79),sK32(sK79)) ),
introduced(definition,[new_symbols(definition,[spl96_398])],[avatar_definition]) ).
fof(f3179,plain,
( r1(sK31(sK79),sK32(sK79))
| ~ spl96_398 ),
inference(avatar_component_clause,[],[f3178]) ).
fof(f3180,plain,
( ~ r1(sK31(sK79),sK32(sK79))
| spl96_398 ),
inference(avatar_component_clause,[],[f3178]) ).
fof(f3181,plain,
( spl96_100
| spl96_101
| ~ spl96_398
| spl96_85
| ~ spl96_63
| ~ spl96_369 ),
inference(avatar_split_clause,[],[f3174,f2888,f611,f757,f3178,f856,f853]) ).
fof(f3182,plain,
( ~ sP19(sK79)
| spl96_398 ),
inference(resolution,[],[f3180,f125]) ).
fof(f3183,plain,
( $false
| ~ spl96_63
| spl96_398 ),
inference(forward_subsumption_resolution,[],[f3182,f613]) ).
fof(f3184,plain,
( ~ spl96_63
| spl96_398 ),
inference(avatar_contradiction_clause,[],[f3183]) ).
fof(f3204,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK40(sK32(sK79)),X0)
| ~ r1(sK32(sK79),sK40(sK32(sK79))) )
| ~ spl96_63
| ~ spl96_293 ),
inference(resolution,[],[f2361,f1774]) ).
fof(f3210,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK32(sK79))
| r1(X1,sK36(X1))
| ~ r1(X0,X1)
| ~ p2(X2)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(X0,X2)
| p2(X1)
| ~ r1(sK79,X0) )
| ~ spl96_59
| ~ spl96_297 ),
inference(resolution,[],[f2381,f695]) ).
fof(f3215,plain,
( spl96_256
| ~ spl96_59
| ~ spl96_297 ),
inference(avatar_split_clause,[],[f3210,f2380,f596,f2110]) ).
fof(f3226,definition,
( spl96_401
<=> r1(sK32(sK79),sK40(sK32(sK79))) ),
introduced(definition,[new_symbols(definition,[spl96_401])],[avatar_definition]) ).
fof(f3228,plain,
( ~ r1(sK32(sK79),sK40(sK32(sK79)))
| spl96_401 ),
inference(avatar_component_clause,[],[f3226]) ).
fof(f3229,plain,
( ~ spl96_401
| spl96_257
| ~ spl96_63
| ~ spl96_293 ),
inference(avatar_split_clause,[],[f3204,f2359,f611,f2113,f3226]) ).
fof(f3230,plain,
( ~ sP19(sK79)
| ~ spl96_85 ),
inference(resolution,[],[f759,f124]) ).
fof(f3247,plain,
( $false
| ~ spl96_63
| ~ spl96_85 ),
inference(forward_subsumption_resolution,[],[f3230,f613]) ).
fof(f3248,plain,
( ~ spl96_63
| ~ spl96_85 ),
inference(avatar_contradiction_clause,[],[f3247]) ).
fof(f3250,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK32(sK79))
| ~ p2(X1)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP17(X0)
| ~ r1(sK79,X0) )
| ~ spl96_59
| ~ spl96_100 ),
inference(resolution,[],[f854,f597]) ).
fof(f3253,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK32(sK79))
| ~ p2(X1)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK79,X0) )
| ~ spl96_59
| ~ spl96_100
| ~ spl96_297 ),
inference(forward_subsumption_resolution,[],[f3250,f2381]) ).
fof(f3261,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK31(sK79),X0)
| ~ r1(sK79,sK31(sK79))
| ~ sP19(sK79) )
| ~ spl96_59
| ~ spl96_100
| ~ spl96_297 ),
inference(resolution,[],[f3253,f125]) ).
fof(f3264,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK31(sK79),X0)
| ~ sP19(sK79) )
| ~ spl96_59
| ~ spl96_100
| ~ spl96_297 ),
inference(forward_subsumption_resolution,[],[f3261,f126]) ).
fof(f3266,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK31(sK79),X0) )
| ~ spl96_59
| ~ spl96_63
| ~ spl96_100
| ~ spl96_297 ),
inference(forward_subsumption_resolution,[],[f3264,f613]) ).
fof(f3267,plain,
( spl96_247
| ~ spl96_59
| ~ spl96_63
| ~ spl96_100
| ~ spl96_297 ),
inference(avatar_split_clause,[],[f3266,f2380,f853,f611,f596,f2066]) ).
fof(f3269,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK31(sK79),X0)
| sP17(sK31(sK79))
| ~ r1(sK79,sK31(sK79))
| ~ sP19(sK79) )
| ~ spl96_59
| ~ spl96_100 ),
inference(resolution,[],[f3250,f125]) ).
fof(f3272,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK31(sK79),X0)
| ~ r1(sK79,sK31(sK79))
| ~ sP19(sK79) )
| ~ spl96_59
| ~ spl96_100
| spl96_246 ),
inference(forward_subsumption_resolution,[],[f3269,f2054]) ).
fof(f3274,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK31(sK79),X0)
| ~ sP19(sK79) )
| ~ spl96_59
| ~ spl96_100
| spl96_246 ),
inference(forward_subsumption_resolution,[],[f3272,f126]) ).
fof(f3276,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK31(sK79),X0) )
| ~ spl96_59
| ~ spl96_63
| ~ spl96_100
| spl96_246 ),
inference(forward_subsumption_resolution,[],[f3274,f613]) ).
fof(f3277,plain,
( spl96_247
| ~ spl96_59
| ~ spl96_63
| ~ spl96_100
| spl96_246 ),
inference(avatar_split_clause,[],[f3276,f2053,f853,f611,f596,f2066]) ).
fof(f3279,plain,
( ! [X0] :
( r1(X0,sK40(X0))
| p2(X0)
| ~ r1(sK31(sK79),X0) )
| ~ spl96_246 ),
inference(resolution,[],[f2055,f137]) ).
fof(f3280,plain,
( ! [X0] :
( p2(sK40(X0))
| p2(X0)
| ~ r1(sK31(sK79),X0) )
| ~ spl96_246 ),
inference(resolution,[],[f2055,f134]) ).
fof(f3307,plain,
( p2(sK32(sK79))
| ~ r1(sK31(sK79),sK32(sK79))
| ~ spl96_246
| spl96_401 ),
inference(resolution,[],[f3279,f3228]) ).
fof(f3324,plain,
( ~ r1(sK31(sK79),sK32(sK79))
| spl96_85
| ~ spl96_246
| spl96_401 ),
inference(forward_subsumption_resolution,[],[f3307,f758]) ).
fof(f3325,plain,
( $false
| spl96_85
| ~ spl96_246
| ~ spl96_398
| spl96_401 ),
inference(forward_subsumption_resolution,[],[f3324,f3179]) ).
fof(f3326,plain,
( spl96_85
| ~ spl96_246
| ~ spl96_398
| spl96_401 ),
inference(avatar_contradiction_clause,[],[f3325]) ).
fof(f3327,plain,
( p2(sK32(sK79))
| ~ r1(sK31(sK79),sK32(sK79))
| ~ spl96_246
| spl96_293 ),
inference(resolution,[],[f2360,f3280]) ).
fof(f3329,plain,
( ~ r1(sK31(sK79),sK32(sK79))
| spl96_85
| ~ spl96_246
| spl96_293 ),
inference(forward_subsumption_resolution,[],[f3327,f758]) ).
fof(f3330,plain,
( $false
| spl96_85
| ~ spl96_246
| spl96_293
| ~ spl96_398 ),
inference(forward_subsumption_resolution,[],[f3329,f3179]) ).
fof(f3331,plain,
( spl96_85
| ~ spl96_246
| spl96_293
| ~ spl96_398 ),
inference(avatar_contradiction_clause,[],[f3330]) ).
fof(f3337,plain,
( ! [X0] :
( r1(X0,sK24(X0))
| p2(X0)
| ~ r1(sK68,X0) )
| ~ spl96_66 ),
inference(resolution,[],[f628,f105]) ).
fof(f3338,plain,
( ! [X0] :
( p2(sK24(X0))
| p2(X0)
| ~ r1(sK68,X0) )
| ~ spl96_66 ),
inference(resolution,[],[f628,f102]) ).
fof(f3358,plain,
( ! [X0,X1] :
( ~ r1(sK26(sK68),sK24(X0))
| ~ r1(sK68,X0)
| p2(X0)
| p2(X1)
| ~ r1(sK24(X0),X1) )
| ~ spl96_66
| ~ spl96_110 ),
inference(resolution,[],[f3338,f925]) ).
fof(f3393,plain,
( ! [X0] :
( ~ r1(sK68,sK26(sK68))
| p2(sK26(sK68))
| p2(X0)
| ~ r1(sK24(sK26(sK68)),X0)
| p2(sK26(sK68))
| ~ r1(sK68,sK26(sK68)) )
| ~ spl96_66
| ~ spl96_110 ),
inference(resolution,[],[f3358,f3337]) ).
fof(f3394,plain,
( ! [X0] :
( ~ r1(sK68,sK26(sK68))
| p2(sK26(sK68))
| p2(X0)
| ~ r1(sK24(sK26(sK68)),X0) )
| ~ spl96_66
| ~ spl96_110 ),
inference(duplicate_literal_removal,[],[f3393]) ).
fof(f3395,plain,
( ! [X0] :
( p2(sK26(sK68))
| p2(X0)
| ~ r1(sK24(sK26(sK68)),X0) )
| ~ spl96_66
| ~ spl96_109
| ~ spl96_110 ),
inference(forward_subsumption_resolution,[],[f3394,f921]) ).
fof(f3396,plain,
( ! [X0] :
( ~ r1(sK24(sK26(sK68)),X0)
| p2(X0) )
| ~ spl96_66
| ~ spl96_109
| ~ spl96_110
| spl96_119 ),
inference(forward_subsumption_resolution,[],[f3395,f1000]) ).
fof(f3401,plain,
( ! [X0] :
( p2(sK25(sK26(sK68)))
| p2(sK26(sK68))
| ~ r1(X0,sK26(sK68))
| ~ sP22(X0) )
| ~ spl96_66
| ~ spl96_109
| ~ spl96_110
| spl96_119 ),
inference(resolution,[],[f3396,f104]) ).
fof(f3469,plain,
( ! [X0] :
( p2(sK26(sK68))
| ~ r1(X0,sK26(sK68))
| ~ sP22(X0) )
| ~ spl96_66
| ~ spl96_109
| ~ spl96_110
| spl96_119 ),
inference(forward_subsumption_resolution,[],[f3401,f103]) ).
fof(f3471,plain,
( ! [X0] :
( ~ sP22(X0)
| ~ r1(X0,sK26(sK68)) )
| ~ spl96_66
| ~ spl96_109
| ~ spl96_110
| spl96_119 ),
inference(forward_subsumption_resolution,[],[f3469,f1000]) ).
fof(f3478,plain,
( ~ r1(sK68,sK26(sK68))
| ~ spl96_66
| ~ spl96_109
| ~ spl96_110
| spl96_119 ),
inference(resolution,[],[f3471,f628]) ).
fof(f3479,plain,
( $false
| ~ spl96_66
| ~ spl96_109
| ~ spl96_110
| spl96_119 ),
inference(forward_subsumption_resolution,[],[f3478,f921]) ).
fof(f3480,plain,
( ~ spl96_66
| ~ spl96_109
| ~ spl96_110
| spl96_119 ),
inference(avatar_contradiction_clause,[],[f3479]) ).
fof(f3695,plain,
( ! [X0] :
( p2(sK34(sK31(sK79)))
| p2(sK31(sK79))
| ~ r1(X0,sK31(sK79))
| ~ sP19(X0) )
| ~ spl96_63
| spl96_245
| ~ spl96_247 ),
inference(resolution,[],[f2481,f121]) ).
fof(f3770,plain,
( ! [X0] :
( p2(sK31(sK79))
| ~ r1(X0,sK31(sK79))
| ~ sP19(X0) )
| ~ spl96_63
| spl96_245
| ~ spl96_247 ),
inference(forward_subsumption_resolution,[],[f3695,f120]) ).
fof(f3772,plain,
( ! [X0] :
( ~ sP19(X0)
| ~ r1(X0,sK31(sK79)) )
| ~ spl96_63
| spl96_245
| ~ spl96_247 ),
inference(forward_subsumption_resolution,[],[f3770,f2051]) ).
fof(f3790,plain,
( ~ r1(sK79,sK31(sK79))
| ~ spl96_63
| spl96_245
| ~ spl96_247 ),
inference(resolution,[],[f3772,f613]) ).
fof(f3791,plain,
( $false
| ~ spl96_63
| spl96_245
| ~ spl96_247 ),
inference(forward_subsumption_resolution,[],[f3790,f1777]) ).
fof(f3792,plain,
( ~ spl96_63
| spl96_245
| ~ spl96_247 ),
inference(avatar_contradiction_clause,[],[f3791]) ).
cnf(s52,plain,
( spl96_59
| spl96_60 ),
inference(sat_conversion,[],[f602]) ).
cnf(s54,plain,
( spl96_60
| spl96_62
| spl96_63 ),
inference(sat_conversion,[],[f614]) ).
cnf(s55,plain,
( spl96_60
| spl96_63
| ~ spl96_64 ),
inference(sat_conversion,[],[f619]) ).
cnf(s56,plain,
( spl96_60
| spl96_65 ),
inference(sat_conversion,[],[f624]) ).
cnf(s57,plain,
( spl96_66
| spl96_67 ),
inference(sat_conversion,[],[f632]) ).
cnf(s58,plain,
( spl96_66
| spl96_68 ),
inference(sat_conversion,[],[f636]) ).
cnf(s59,plain,
( spl96_69
| spl96_70 ),
inference(sat_conversion,[],[f643]) ).
cnf(s60,plain,
( spl96_70
| spl96_71 ),
inference(sat_conversion,[],[f647]) ).
cnf(s61,plain,
( spl96_70
| spl96_72 ),
inference(sat_conversion,[],[f651]) ).
cnf(s62,plain,
( spl96_70
| spl96_73 ),
inference(sat_conversion,[],[f655]) ).
cnf(s63,plain,
( spl96_70
| ~ spl96_74 ),
inference(sat_conversion,[],[f660]) ).
cnf(s64,plain,
( spl96_70
| spl96_75 ),
inference(sat_conversion,[],[f665]) ).
cnf(s69,plain,
( ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_66 ),
inference(sat_conversion,[],[f736]) ).
cnf(s78,plain,
( ~ spl96_67
| ~ spl96_68
| ~ spl96_70 ),
inference(sat_conversion,[],[f841]) ).
cnf(s83,plain,
( ~ spl96_62
| spl96_64
| ~ spl96_65
| ~ spl96_69
| ~ spl96_71
| ~ spl96_72
| ~ spl96_73 ),
inference(sat_conversion,[],[f910]) ).
cnf(s84,plain,
( ~ spl96_60
| spl96_108
| spl96_109 ),
inference(sat_conversion,[],[f922]) ).
cnf(s85,plain,
( ~ spl96_60
| spl96_108
| spl96_110 ),
inference(sat_conversion,[],[f926]) ).
cnf(s92,plain,
( ~ spl96_69
| ~ spl96_73
| ~ spl96_109
| ~ spl96_110
| spl96_119
| spl96_120 ),
inference(sat_conversion,[],[f1005]) ).
cnf(s96,plain,
( ~ spl96_71
| ~ spl96_72
| ~ spl96_109
| spl96_119
| ~ spl96_120 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s100,plain,
( ~ spl96_60
| spl96_108
| ~ spl96_119 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s148,plain,
( spl96_77
| ~ spl96_108 ),
inference(sat_conversion,[],[f1675]) ).
cnf(s150,plain,
( spl96_74
| ~ spl96_75
| ~ spl96_77 ),
inference(sat_conversion,[],[f1702]) ).
cnf(s164,plain,
( ~ spl96_66
| ~ spl96_77 ),
inference(sat_conversion,[],[f1760]) ).
cnf(s181,plain,
( spl96_85
| spl96_100
| ~ spl96_101 ),
inference(sat_conversion,[],[f1949]) ).
cnf(s201,plain,
( spl96_256
| ~ spl96_63
| spl96_85
| ~ spl96_59
| spl96_256
| spl96_257 ),
inference(sat_conversion,[],[f2115]) ).
cnf(s202,plain,
( ~ spl96_59
| ~ spl96_63
| spl96_85
| spl96_256
| spl96_257 ),
inference(rat,[],[s201]) ).
cnf(s232,plain,
( spl96_85
| ~ spl96_257
| spl96_297 ),
inference(sat_conversion,[],[f2382]) ).
cnf(s276,plain,
( ~ spl96_63
| ~ spl96_245
| ~ spl96_247 ),
inference(sat_conversion,[],[f2883]) ).
cnf(s278,plain,
( ~ spl96_63
| spl96_247
| ~ spl96_256
| spl96_369 ),
inference(sat_conversion,[],[f2890]) ).
cnf(s301,plain,
( ~ spl96_63
| spl96_85
| spl96_100
| spl96_101
| ~ spl96_369
| ~ spl96_398 ),
inference(sat_conversion,[],[f3181]) ).
cnf(s302,plain,
( ~ spl96_63
| spl96_398 ),
inference(sat_conversion,[],[f3184]) ).
cnf(s305,plain,
( ~ spl96_59
| spl96_256
| ~ spl96_297 ),
inference(sat_conversion,[],[f3215]) ).
cnf(s308,plain,
( ~ spl96_63
| spl96_257
| ~ spl96_293
| ~ spl96_401 ),
inference(sat_conversion,[],[f3229]) ).
cnf(s311,plain,
( ~ spl96_63
| ~ spl96_85 ),
inference(sat_conversion,[],[f3248]) ).
cnf(s314,plain,
( ~ spl96_59
| ~ spl96_63
| ~ spl96_100
| spl96_247
| ~ spl96_297 ),
inference(sat_conversion,[],[f3267]) ).
cnf(s316,plain,
( ~ spl96_59
| ~ spl96_63
| ~ spl96_100
| spl96_246
| spl96_247 ),
inference(sat_conversion,[],[f3277]) ).
cnf(s317,plain,
( spl96_85
| ~ spl96_246
| ~ spl96_398
| spl96_401 ),
inference(sat_conversion,[],[f3326]) ).
cnf(s318,plain,
( spl96_85
| ~ spl96_246
| spl96_293
| ~ spl96_398 ),
inference(sat_conversion,[],[f3331]) ).
cnf(s332,plain,
( ~ spl96_66
| ~ spl96_109
| ~ spl96_110
| spl96_119 ),
inference(sat_conversion,[],[f3480]) ).
cnf(s360,plain,
( ~ spl96_63
| spl96_245
| ~ spl96_247 ),
inference(sat_conversion,[],[f3792]) ).
cnf(s362,plain,
( spl96_66
| ~ spl96_70 ),
inference(rat,[],[s78,s57,s58]) ).
cnf(s366,plain,
( spl96_247
| ~ spl96_100
| ~ spl96_63
| ~ spl96_59 ),
inference(rat,[],[s308,s317,s318,s232,s316,s314,s311,s302]) ).
cnf(s367,plain,
( ~ spl96_247
| ~ spl96_63 ),
inference(rat,[],[s360,s276]) ).
cnf(s368,plain,
( ~ spl96_63
| ~ spl96_59 ),
inference(rat,[],[s232,s202,s305,s278,s301,s181,s366,s367,s302,s311]) ).
cnf(s370,plain,
( ~ spl96_62
| spl96_64
| ~ spl96_65 ),
inference(rat,[],[s83,s59,s60,s61,s62,s362,s69]) ).
cnf(s371,plain,
spl96_60,
inference(rat,[],[s370,s54,s55,s368,s52,s56]) ).
cnf(s372,plain,
~ spl96_66,
inference(rat,[],[s332,s84,s85,s100,s148,s164,s371]) ).
cnf(s375,plain,
~ spl96_70,
inference(rat,[],[s362,s372]) ).
cnf(s376,plain,
spl96_75,
inference(rat,[],[s64,s375]) ).
cnf(s377,plain,
~ spl96_74,
inference(rat,[],[s63,s375]) ).
cnf(s378,plain,
spl96_73,
inference(rat,[],[s62,s375]) ).
cnf(s379,plain,
spl96_72,
inference(rat,[],[s61,s375]) ).
cnf(s380,plain,
spl96_71,
inference(rat,[],[s60,s375]) ).
cnf(s381,plain,
spl96_69,
inference(rat,[],[s59,s375]) ).
cnf(s382,plain,
~ spl96_77,
inference(rat,[],[s150,s376,s377]) ).
cnf(s383,plain,
~ spl96_108,
inference(rat,[],[s148,s382]) ).
cnf(s385,plain,
~ spl96_119,
inference(rat,[],[s100,s371,s383]) ).
cnf(s386,plain,
spl96_110,
inference(rat,[],[s85,s371,s383]) ).
cnf(s387,plain,
spl96_109,
inference(rat,[],[s84,s371,s383]) ).
cnf(s389,plain,
~ spl96_120,
inference(rat,[],[s96,s380,s379,s387,s385]) ).
cnf(s391,plain,
$false,
inference(rat,[],[s92,s381,s385,s386,s378,s387,s389]) ).
fof(f3793,plain,
$false,
inference(avatar_sat_refutation,[],[s391]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL660+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n001.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 16:28:46 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 4.92/2.21 % (3765415)Detected formulas, will run a generic FOF schedule.
% 4.92/2.21 % (3765430)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=1026305864:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.92/2.21 % (3765429)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=23698809:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.92/2.21 % (3765431)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3232968569:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.92/2.21 % (3765432)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1369780037:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.92/2.21 % (3765433)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3133637838:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.92/2.21 % (3765428)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=1099864761:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.92/2.21 % (3765434)dis-21_1_sil=8000:lcm=predicate:random_seed=3322179259: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)
% 4.92/2.21 % (3765431)Instruction limit reached!
% 4.92/2.21 % (3765431)------------------------------
% 4.92/2.21 % (3765431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/2.21 % (3765431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/2.21 % (3765431)CaDiCaL version: 2.1.3
% 4.92/2.21 % (3765431)Termination reason: Instruction limit
% 4.92/2.21 % (3765431)Termination phase: Saturation
% 4.92/2.21 % (3765431)Time elapsed: 0.095 s
% 4.92/2.21 % (3765431)Peak memory usage: 90 MB
% 4.92/2.21 % (3765431)Instructions burned: 109 (million)
% 4.92/2.21 % (3765432)Instruction limit reached!
% 4.92/2.21 % (3765432)------------------------------
% 4.92/2.21 % (3765432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/2.21 % (3765432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/2.21 % (3765432)CaDiCaL version: 2.1.3
% 4.92/2.21 % (3765432)Termination reason: Instruction limit
% 4.92/2.21 % (3765432)Termination phase: Saturation
% 4.92/2.21 % (3765432)Time elapsed: 0.099 s
% 4.92/2.21 % (3765432)Peak memory usage: 88 MB
% 4.92/2.21 % (3765432)Instructions burned: 120 (million)
% 4.92/2.21 % (3765434)Instruction limit reached!
% 4.92/2.21 % (3765434)------------------------------
% 4.92/2.21 % (3765434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/2.21 % (3765434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/2.21 % (3765434)CaDiCaL version: 2.1.3
% 4.92/2.21 % (3765434)Termination reason: Instruction limit
% 4.92/2.21 % (3765434)Termination phase: Saturation
% 4.92/2.21 % (3765434)Time elapsed: 0.086 s
% 4.92/2.21 % (3765434)Peak memory usage: 88 MB
% 4.92/2.21 % (3765434)Instructions burned: 129 (million)
% 4.92/2.21 % (3765433)Instruction limit reached!
% 4.92/2.21 % (3765433)------------------------------
% 4.92/2.21 % (3765433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/2.21 % (3765433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/2.21 % (3765433)CaDiCaL version: 2.1.3
% 4.92/2.21 % (3765433)Termination reason: Instruction limit
% 4.92/2.21 % (3765433)Termination phase: Saturation
% 4.92/2.21 % (3765433)Time elapsed: 0.133 s
% 4.92/2.21 % (3765433)Peak memory usage: 90 MB
% 4.92/2.21 % (3765433)Instructions burned: 139 (million)
% 4.92/2.21 % (3765442)lrs+10_1_sil=8000:sp=occurrence:random_seed=3099720634:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 4.92/2.21 % (3765443)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2305572345:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.92/2.21 % (3765444)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4191946455:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 4.92/2.21 % (3765445)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3582350382:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.92/2.21 % (3765443)Refutation not found, incomplete strategy
% 4.92/2.21 % (3765443)------------------------------
% 4.92/2.21 % (3765443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/2.21 % (3765443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/2.21 % (3765443)CaDiCaL version: 2.1.3
% 4.92/2.21 % (3765443)Termination reason: Refutation not found, incomplete strategy
% 4.92/2.21 % (3765443)Time elapsed: 0.047 s
% 4.92/2.21 % (3765443)Peak memory usage: 89 MB
% 4.92/2.21 % (3765443)Instructions burned: 52 (million)
% 4.92/2.21 % (3765445)Refutation not found, incomplete strategy
% 4.92/2.21 % (3765445)------------------------------
% 4.92/2.21 % (3765445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/2.21 % (3765445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/2.21 % (3765445)CaDiCaL version: 2.1.3
% 4.92/2.21 % (3765445)Termination reason: Refutation not found, incomplete strategy
% 4.92/2.21 % (3765445)Time elapsed: 0.049 s
% 4.92/2.21 % (3765445)Peak memory usage: 89 MB
% 4.92/2.21 % (3765445)Instructions burned: 54 (million)
% 4.92/2.21 % (3765442)Instruction limit reached!
% 4.92/2.21 % (3765442)------------------------------
% 4.92/2.21 % (3765442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/2.21 % (3765442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/2.21 % (3765442)CaDiCaL version: 2.1.3
% 4.92/2.21 % (3765442)Termination reason: Instruction limit
% 4.92/2.21 % (3765442)Termination phase: Saturation
% 4.92/2.21 % (3765442)Time elapsed: 0.212 s
% 4.92/2.21 % (3765442)Peak memory usage: 91 MB
% 4.92/2.21 % (3765442)Instructions burned: 285 (million)
% 4.92/2.21 % (3765444)First to succeed.
% 4.92/2.21 % (3765444)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3765415"
% 4.92/2.21 % (3765452)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2189861770:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 4.92/2.21 % (3765443)------------------------------
% 4.92/2.21 % (3765443)------------------------------
% 4.92/2.21 % (3765445)------------------------------
% 4.92/2.21 % (3765445)------------------------------
% 4.92/2.21 % (3765452)Instruction limit reached!
% 4.92/2.21 % (3765452)------------------------------
% 4.92/2.21 % (3765452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/2.21 % (3765452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/2.21 % (3765452)CaDiCaL version: 2.1.3
% 4.92/2.21 % (3765452)Termination reason: Instruction limit
% 4.92/2.21 % (3765452)Termination phase: Saturation
% 4.92/2.21 % (3765452)Time elapsed: 0.136 s
% 4.92/2.21 % (3765452)Peak memory usage: 90 MB
% 4.92/2.21 % (3765452)Instructions burned: 296 (million)
% 4.92/2.21 % (3765444)Refutation found. Thanks to Tanya!
% 4.92/2.21 % SZS status Theorem for theBenchmark
% 4.92/2.21 % SZS output start Proof for theBenchmark
% See solution above
% 9.06/2.54 % (3765444)------------------------------
% 9.06/2.54 % (3765444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.06/2.54 % (3765444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.06/2.54 % (3765444)CaDiCaL version: 2.1.3
% 9.06/2.54 % (3765444)Termination reason: Refutation
% 9.06/2.54 % (3765444)Time elapsed: 0.191 s
% 9.06/2.54 % (3765444)Peak memory usage: 92 MB
% 9.06/2.54 % (3765444)Instructions burned: 203 (million)
% 9.06/2.54 % (3765444)------------------------------
% 9.06/2.54 % (3765444)------------------------------
% 9.06/2.54 % (3765415)Success in time 1.155 s
% 9.06/2.54 % Vampire exiting
%------------------------------------------------------------------------------