%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL642+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 07:45:21 EDT 2023
% Result : Theorem 0.48s 1.17s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 66
% Syntax : Number of formulae : 237 ( 5 unt; 0 def)
% Number of atoms : 4947 ( 0 equ)
% Maximal formula atoms : 410 ( 20 avg)
% Number of connectives : 7245 (2535 ~;3454 |;1213 &)
% ( 0 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 2 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 18 con; 0-1 aty)
% Number of variables : 1769 ( 0 sgn;1273 !; 398 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] :
( $false
| ~ r1(X6,X7) )
| p1(X6) )
| ! [X8] :
( ! [X9] :
( $false
| ~ r1(X8,X9) )
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] :
( $false
| ~ r1(X5,X10) )
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] :
( $false
| ~ r1(X0,X11) )
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] :
( $false
| ~ r1(X13,X14) )
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] :
( $false
| ~ r1(X15,X16) )
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] :
( $false
| ~ r1(X12,X17) )
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] :
( $false
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] :
( $false
| ~ r1(X20,X21) )
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] :
( $false
| ~ r1(X22,X23) )
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] :
( $false
| ~ r1(X19,X24) )
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] :
( $false
| ~ r1(X0,X25) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] :
( $false
| ~ r1(X27,X28) )
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] :
( $false
| ~ r1(X29,X30) )
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] :
( $false
| ~ r1(X26,X31) )
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] :
( $false
| ~ r1(X0,X32) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ! [X35] :
( ! [X36] :
( $false
| ~ r1(X35,X36) )
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] :
( $false
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ! [X40] :
( ! [X41] :
( $false
| ~ r1(X40,X41) )
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X33,X40) )
| p1(X33)
| ~ r1(X0,X33) )
| ! [X42] :
( ! [X43] :
( $false
| ~ r1(X42,X43) )
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ~ ! [X44] :
( ~ ! [X45] :
( ~ ( ! [X46] :
( ! [X47] :
( $false
| ~ r1(X46,X47) )
| p1(X46)
| p2(X46)
| p3(X46)
| p4(X46)
| ~ r1(X45,X46) )
| p1(X45)
| p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] :
( $false
| ~ r1(X49,X50) )
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ! [X51] :
( ! [X52] :
( $false
| ~ r1(X51,X52) )
| p1(X51)
| p2(X51)
| p3(X51)
| p4(X51)
| ~ r1(X44,X51) )
| p1(X44)
| p2(X44)
| ~ r1(X0,X44) )
| ! [X53] :
( ! [X54] :
( $false
| ~ r1(X53,X54) )
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X55] :
( ~ ! [X56] :
( ~ ( ! [X57] :
( ! [X58] :
( $false
| ~ r1(X57,X58) )
| p1(X57)
| p2(X57)
| p3(X57)
| p4(X57)
| ~ r1(X56,X57) )
| p1(X56)
| p2(X56)
| p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] :
( $false
| ~ r1(X60,X61) )
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ! [X62] :
( ! [X63] :
( $false
| ~ r1(X62,X63) )
| p1(X62)
| p2(X62)
| p3(X62)
| p4(X62)
| ~ r1(X55,X62) )
| p1(X55)
| p2(X55)
| p3(X55)
| ~ r1(X0,X55) )
| ! [X64] :
( ! [X65] :
( $false
| ~ r1(X64,X65) )
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X66] :
( ~ ! [X67] :
( ~ ( ! [X68] :
( ! [X69] :
( $false
| ~ r1(X68,X69) )
| p1(X68)
| p2(X68)
| p3(X68)
| p4(X68)
| ~ r1(X67,X68) )
| p1(X67)
| p2(X67)
| p3(X67)
| p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] :
( $false
| ~ r1(X71,X72) )
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
| ! [X73] :
( ! [X74] :
( $false
| ~ r1(X73,X74) )
| p1(X73)
| p2(X73)
| p3(X73)
| p4(X73)
| ~ r1(X66,X73) )
| p1(X66)
| p2(X66)
| p3(X66)
| p4(X66)
| ~ r1(X0,X66) )
| ! [X75] :
( ! [X76] :
( $false
| ~ r1(X75,X76) )
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X77] :
( ~ ! [X78] :
( ~ ( ! [X79] :
( ! [X80] :
( ! [X81] :
( $false
| ~ r1(X80,X81) )
| p1(X80)
| p2(X80)
| p3(X80)
| p4(X80)
| ~ r1(X79,X80) )
| p1(X79)
| p2(X79)
| p3(X79)
| p4(X79)
| ~ r1(X78,X79) )
| p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( $false
| ~ r1(X84,X85) )
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ! [X86] :
( ! [X87] :
( ! [X88] :
( $false
| ~ r1(X87,X88) )
| p1(X87)
| p2(X87)
| p3(X87)
| p4(X87)
| ~ r1(X86,X87) )
| p1(X86)
| p2(X86)
| p3(X86)
| p4(X86)
| ~ r1(X77,X86) )
| p1(X77)
| ~ r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] :
( $false
| ~ r1(X90,X91) )
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ~ ! [X92] :
( ~ ! [X93] :
( ~ ( ( ~ ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| p2(X93) )
& ( ~ ! [X96] :
( ~ ! [X97] :
( ~ p2(X97)
| ! [X98] :
( p2(X98)
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
| ! [X99] :
( ! [X100] :
( ~ ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| p2(X100)
| ~ r1(X99,X100) )
| ~ r1(X93,X99) ) ) )
| ! [X103] :
( ( ( ~ ! [X104] :
( ~ p2(X104)
| ! [X105] :
( p2(X105)
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| p2(X103) )
& ( ~ ! [X106] :
( ~ ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| p2(X106)
| ~ r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ~ ! [X111] :
( ~ p2(X111)
| ! [X112] :
( p2(X112)
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
| ( ( ~ ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
| p2(X92) )
& ( ~ ! [X115] :
( ~ ! [X116] :
( ~ p2(X116)
| ! [X117] :
( p2(X117)
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
| ! [X118] :
( ! [X119] :
( ~ ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| p2(X119)
| ~ r1(X118,X119) )
| ~ r1(X92,X118) ) ) )
| ~ r1(X0,X92) )
| ( ( ~ ! [X122] :
( ~ p2(X122)
| ! [X123] :
( p2(X123)
| ~ r1(X122,X123) )
| ~ r1(X0,X122) )
| p2(X0) )
& ( ~ ! [X124] :
( ~ ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| p2(X124)
| ~ r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ~ ! [X129] :
( ~ p2(X129)
| ! [X130] :
( p2(X130)
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) ) )
| ~ ! [X131] :
( ~ ! [X132] :
( ~ p1(X132)
| ! [X133] :
( p1(X133)
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
| ! [X134] :
( p1(X134)
| ~ r1(X0,X134) )
| ~ ! [X135] :
( ~ ! [X136] :
( ~ p2(X136)
| ! [X137] :
( p2(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
| ! [X138] :
( p2(X138)
| ~ r1(X0,X138) )
| ~ ! [X139] :
( ~ ! [X140] :
( ~ p3(X140)
| ! [X141] :
( p3(X141)
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| p3(X139)
| ~ r1(X0,X139) )
| ! [X142] :
( p3(X142)
| ~ r1(X0,X142) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ! [X35] :
( ! [X36] : ~ r1(X35,X36)
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ! [X40] :
( ! [X41] : ~ r1(X40,X41)
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X33,X40) )
| p1(X33)
| ~ r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ~ ! [X44] :
( ~ ! [X45] :
( ~ ( ! [X46] :
( ! [X47] : ~ r1(X46,X47)
| p1(X46)
| p2(X46)
| p3(X46)
| p4(X46)
| ~ r1(X45,X46) )
| p1(X45)
| p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ! [X51] :
( ! [X52] : ~ r1(X51,X52)
| p1(X51)
| p2(X51)
| p3(X51)
| p4(X51)
| ~ r1(X44,X51) )
| p1(X44)
| p2(X44)
| ~ r1(X0,X44) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X55] :
( ~ ! [X56] :
( ~ ( ! [X57] :
( ! [X58] : ~ r1(X57,X58)
| p1(X57)
| p2(X57)
| p3(X57)
| p4(X57)
| ~ r1(X56,X57) )
| p1(X56)
| p2(X56)
| p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ! [X62] :
( ! [X63] : ~ r1(X62,X63)
| p1(X62)
| p2(X62)
| p3(X62)
| p4(X62)
| ~ r1(X55,X62) )
| p1(X55)
| p2(X55)
| p3(X55)
| ~ r1(X0,X55) )
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X66] :
( ~ ! [X67] :
( ~ ( ! [X68] :
( ! [X69] : ~ r1(X68,X69)
| p1(X68)
| p2(X68)
| p3(X68)
| p4(X68)
| ~ r1(X67,X68) )
| p1(X67)
| p2(X67)
| p3(X67)
| p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
| ! [X73] :
( ! [X74] : ~ r1(X73,X74)
| p1(X73)
| p2(X73)
| p3(X73)
| p4(X73)
| ~ r1(X66,X73) )
| p1(X66)
| p2(X66)
| p3(X66)
| p4(X66)
| ~ r1(X0,X66) )
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X77] :
( ~ ! [X78] :
( ~ ( ! [X79] :
( ! [X80] :
( ! [X81] : ~ r1(X80,X81)
| p1(X80)
| p2(X80)
| p3(X80)
| p4(X80)
| ~ r1(X79,X80) )
| p1(X79)
| p2(X79)
| p3(X79)
| p4(X79)
| ~ r1(X78,X79) )
| p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ! [X86] :
( ! [X87] :
( ! [X88] : ~ r1(X87,X88)
| p1(X87)
| p2(X87)
| p3(X87)
| p4(X87)
| ~ r1(X86,X87) )
| p1(X86)
| p2(X86)
| p3(X86)
| p4(X86)
| ~ r1(X77,X86) )
| p1(X77)
| ~ r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ~ ! [X92] :
( ~ ! [X93] :
( ~ ( ( ~ ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| p2(X93) )
& ( ~ ! [X96] :
( ~ ! [X97] :
( ~ p2(X97)
| ! [X98] :
( p2(X98)
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
| ! [X99] :
( ! [X100] :
( ~ ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| p2(X100)
| ~ r1(X99,X100) )
| ~ r1(X93,X99) ) ) )
| ! [X103] :
( ( ( ~ ! [X104] :
( ~ p2(X104)
| ! [X105] :
( p2(X105)
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| p2(X103) )
& ( ~ ! [X106] :
( ~ ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| p2(X106)
| ~ r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ~ ! [X111] :
( ~ p2(X111)
| ! [X112] :
( p2(X112)
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
| ( ( ~ ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
| p2(X92) )
& ( ~ ! [X115] :
( ~ ! [X116] :
( ~ p2(X116)
| ! [X117] :
( p2(X117)
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
| ! [X118] :
( ! [X119] :
( ~ ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| p2(X119)
| ~ r1(X118,X119) )
| ~ r1(X92,X118) ) ) )
| ~ r1(X0,X92) )
| ( ( ~ ! [X122] :
( ~ p2(X122)
| ! [X123] :
( p2(X123)
| ~ r1(X122,X123) )
| ~ r1(X0,X122) )
| p2(X0) )
& ( ~ ! [X124] :
( ~ ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| p2(X124)
| ~ r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ~ ! [X129] :
( ~ p2(X129)
| ! [X130] :
( p2(X130)
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) ) )
| ~ ! [X131] :
( ~ ! [X132] :
( ~ p1(X132)
| ! [X133] :
( p1(X133)
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
| ! [X134] :
( p1(X134)
| ~ r1(X0,X134) )
| ~ ! [X135] :
( ~ ! [X136] :
( ~ p2(X136)
| ! [X137] :
( p2(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
| ! [X138] :
( p2(X138)
| ~ r1(X0,X138) )
| ~ ! [X139] :
( ~ ! [X140] :
( ~ p3(X140)
| ! [X141] :
( p3(X141)
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| p3(X139)
| ~ r1(X0,X139) )
| ! [X142] :
( p3(X142)
| ~ r1(X0,X142) ) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ! [X35] :
( ! [X36] : ~ r1(X35,X36)
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ! [X40] :
( ! [X41] : ~ r1(X40,X41)
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X33,X40) )
| p1(X33)
| ~ r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ~ ! [X44] :
( ~ ! [X45] :
( ~ ( ! [X46] :
( ! [X47] : ~ r1(X46,X47)
| p1(X46)
| p2(X46)
| p3(X46)
| p4(X46)
| ~ r1(X45,X46) )
| p1(X45)
| p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ! [X51] :
( ! [X52] : ~ r1(X51,X52)
| p1(X51)
| p2(X51)
| p3(X51)
| p4(X51)
| ~ r1(X44,X51) )
| p1(X44)
| p2(X44)
| ~ r1(X0,X44) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X55] :
( ~ ! [X56] :
( ~ ( ! [X57] :
( ! [X58] : ~ r1(X57,X58)
| p1(X57)
| p2(X57)
| p3(X57)
| p4(X57)
| ~ r1(X56,X57) )
| p1(X56)
| p2(X56)
| p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ! [X62] :
( ! [X63] : ~ r1(X62,X63)
| p1(X62)
| p2(X62)
| p3(X62)
| p4(X62)
| ~ r1(X55,X62) )
| p1(X55)
| p2(X55)
| p3(X55)
| ~ r1(X0,X55) )
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X66] :
( ~ ! [X67] :
( ~ ( ! [X68] :
( ! [X69] : ~ r1(X68,X69)
| p1(X68)
| p2(X68)
| p3(X68)
| p4(X68)
| ~ r1(X67,X68) )
| p1(X67)
| p2(X67)
| p3(X67)
| p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
| ! [X73] :
( ! [X74] : ~ r1(X73,X74)
| p1(X73)
| p2(X73)
| p3(X73)
| p4(X73)
| ~ r1(X66,X73) )
| p1(X66)
| p2(X66)
| p3(X66)
| p4(X66)
| ~ r1(X0,X66) )
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X77] :
( ~ ! [X78] :
( ~ ( ! [X79] :
( ! [X80] :
( ! [X81] : ~ r1(X80,X81)
| p1(X80)
| p2(X80)
| p3(X80)
| p4(X80)
| ~ r1(X79,X80) )
| p1(X79)
| p2(X79)
| p3(X79)
| p4(X79)
| ~ r1(X78,X79) )
| p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ! [X86] :
( ! [X87] :
( ! [X88] : ~ r1(X87,X88)
| p1(X87)
| p2(X87)
| p3(X87)
| p4(X87)
| ~ r1(X86,X87) )
| p1(X86)
| p2(X86)
| p3(X86)
| p4(X86)
| ~ r1(X77,X86) )
| p1(X77)
| ~ r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ~ ! [X92] :
( ~ ! [X93] :
( ~ ( ( ~ ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| p2(X93) )
& ( ~ ! [X96] :
( ~ ! [X97] :
( ~ p2(X97)
| ! [X98] :
( p2(X98)
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
| ! [X99] :
( ! [X100] :
( ~ ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| p2(X100)
| ~ r1(X99,X100) )
| ~ r1(X93,X99) ) ) )
| ! [X103] :
( ( ( ~ ! [X104] :
( ~ p2(X104)
| ! [X105] :
( p2(X105)
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| p2(X103) )
& ( ~ ! [X106] :
( ~ ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| p2(X106)
| ~ r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ~ ! [X111] :
( ~ p2(X111)
| ! [X112] :
( p2(X112)
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
| ( ( ~ ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
| p2(X92) )
& ( ~ ! [X115] :
( ~ ! [X116] :
( ~ p2(X116)
| ! [X117] :
( p2(X117)
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
| ! [X118] :
( ! [X119] :
( ~ ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| p2(X119)
| ~ r1(X118,X119) )
| ~ r1(X92,X118) ) ) )
| ~ r1(X0,X92) )
| ( ( ~ ! [X122] :
( ~ p2(X122)
| ! [X123] :
( p2(X123)
| ~ r1(X122,X123) )
| ~ r1(X0,X122) )
| p2(X0) )
& ( ~ ! [X124] :
( ~ ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| p2(X124)
| ~ r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ~ ! [X129] :
( ~ p2(X129)
| ! [X130] :
( p2(X130)
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) ) )
| ~ ! [X131] :
( ~ ! [X132] :
( ~ p1(X132)
| ! [X133] :
( p1(X133)
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
| ! [X134] :
( p1(X134)
| ~ r1(X0,X134) )
| ~ ! [X135] :
( ~ ! [X136] :
( ~ p2(X136)
| ! [X137] :
( p2(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
| ! [X138] :
( p2(X138)
| ~ r1(X0,X138) )
| ~ ! [X139] :
( ~ ! [X140] :
( ~ p3(X140)
| ! [X141] :
( p3(X141)
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| p3(X139)
| ~ r1(X0,X139) )
| ! [X142] :
( p3(X142)
| ~ r1(X0,X142) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ? [X35] :
( ? [X36] : r1(X35,X36)
& ~ p1(X35)
& ~ p2(X35)
& ~ p3(X35)
& ~ p4(X35)
& r1(X34,X35) )
& ~ p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
& ? [X40] :
( ? [X41] : r1(X40,X41)
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
& ~ p1(X33)
& r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ? [X44] :
( ! [X45] :
( ( ? [X46] :
( ? [X47] : r1(X46,X47)
& ~ p1(X46)
& ~ p2(X46)
& ~ p3(X46)
& ~ p4(X46)
& r1(X45,X46) )
& ~ p1(X45)
& ~ p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
& ? [X51] :
( ? [X52] : r1(X51,X52)
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
& ~ p1(X44)
& ~ p2(X44)
& r1(X0,X44) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ? [X55] :
( ! [X56] :
( ( ? [X57] :
( ? [X58] : r1(X57,X58)
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
& ~ p1(X56)
& ~ p2(X56)
& ~ p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
& ? [X62] :
( ? [X63] : r1(X62,X63)
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
& ~ p1(X55)
& ~ p2(X55)
& ~ p3(X55)
& r1(X0,X55) )
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X66] :
( ! [X67] :
( ( ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
& ~ p1(X67)
& ~ p2(X67)
& ~ p3(X67)
& ~ p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
& ? [X73] :
( ? [X74] : r1(X73,X74)
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
& ~ p1(X66)
& ~ p2(X66)
& ~ p3(X66)
& ~ p4(X66)
& r1(X0,X66) )
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X77] :
( ! [X78] :
( ( ? [X79] :
( ? [X80] :
( ? [X81] : r1(X80,X81)
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
& ~ p1(X79)
& ~ p2(X79)
& ~ p3(X79)
& ~ p4(X79)
& r1(X78,X79) )
& ~ p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
& ? [X86] :
( ? [X87] :
( ? [X88] : r1(X87,X88)
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
& ~ p1(X77)
& r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ? [X92] :
( ! [X93] :
( ( ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
& ~ p2(X93) )
| ( ! [X96] :
( ? [X97] :
( p2(X97)
& ? [X98] :
( ~ p2(X98)
& r1(X97,X98) )
& r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
& ? [X99] :
( ? [X100] :
( ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
& ~ p2(X100)
& r1(X99,X100) )
& r1(X93,X99) ) )
| ! [X103] :
( ( ( ? [X104] :
( p2(X104)
& ? [X105] :
( ~ p2(X105)
& r1(X104,X105) )
& r1(X103,X104) )
| p2(X103) )
& ( ? [X106] :
( ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
& ~ p2(X106)
& r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ? [X111] :
( p2(X111)
& ? [X112] :
( ~ p2(X112)
& r1(X111,X112) )
& r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
& ( ( ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
& ~ p2(X92) )
| ( ! [X115] :
( ? [X116] :
( p2(X116)
& ? [X117] :
( ~ p2(X117)
& r1(X116,X117) )
& r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
& ? [X118] :
( ? [X119] :
( ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p2(X119)
& r1(X118,X119) )
& r1(X92,X118) ) ) )
& r1(X0,X92) )
| ( ( ? [X122] :
( p2(X122)
& ? [X123] :
( ~ p2(X123)
& r1(X122,X123) )
& r1(X0,X122) )
| p2(X0) )
& ( ? [X124] :
( ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ? [X129] :
( p2(X129)
& ? [X130] :
( ~ p2(X130)
& r1(X129,X130) )
& r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) )
& ! [X131] :
( ? [X132] :
( p1(X132)
& ? [X133] :
( ~ p1(X133)
& r1(X132,X133) )
& r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
& ? [X134] :
( ~ p1(X134)
& r1(X0,X134) )
& ! [X135] :
( ? [X136] :
( p2(X136)
& ? [X137] :
( ~ p2(X137)
& r1(X136,X137) )
& r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
& ? [X138] :
( ~ p2(X138)
& r1(X0,X138) )
& ! [X139] :
( ? [X140] :
( p3(X140)
& ? [X141] :
( ~ p3(X141)
& r1(X140,X141) )
& r1(X139,X140) )
| p3(X139)
| ~ r1(X0,X139) )
& ? [X142] :
( ~ p3(X142)
& r1(X0,X142) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ? [X35] :
( ? [X36] : r1(X35,X36)
& ~ p1(X35)
& ~ p2(X35)
& ~ p3(X35)
& ~ p4(X35)
& r1(X34,X35) )
& ~ p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
& ? [X40] :
( ? [X41] : r1(X40,X41)
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
& ~ p1(X33)
& r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ? [X44] :
( ! [X45] :
( ( ? [X46] :
( ? [X47] : r1(X46,X47)
& ~ p1(X46)
& ~ p2(X46)
& ~ p3(X46)
& ~ p4(X46)
& r1(X45,X46) )
& ~ p1(X45)
& ~ p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
& ? [X51] :
( ? [X52] : r1(X51,X52)
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
& ~ p1(X44)
& ~ p2(X44)
& r1(X0,X44) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ? [X55] :
( ! [X56] :
( ( ? [X57] :
( ? [X58] : r1(X57,X58)
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
& ~ p1(X56)
& ~ p2(X56)
& ~ p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
& ? [X62] :
( ? [X63] : r1(X62,X63)
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
& ~ p1(X55)
& ~ p2(X55)
& ~ p3(X55)
& r1(X0,X55) )
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X66] :
( ! [X67] :
( ( ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
& ~ p1(X67)
& ~ p2(X67)
& ~ p3(X67)
& ~ p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
& ? [X73] :
( ? [X74] : r1(X73,X74)
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
& ~ p1(X66)
& ~ p2(X66)
& ~ p3(X66)
& ~ p4(X66)
& r1(X0,X66) )
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X77] :
( ! [X78] :
( ( ? [X79] :
( ? [X80] :
( ? [X81] : r1(X80,X81)
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
& ~ p1(X79)
& ~ p2(X79)
& ~ p3(X79)
& ~ p4(X79)
& r1(X78,X79) )
& ~ p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
& ? [X86] :
( ? [X87] :
( ? [X88] : r1(X87,X88)
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
& ~ p1(X77)
& r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ? [X92] :
( ! [X93] :
( ( ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
& ~ p2(X93) )
| ( ! [X96] :
( ? [X97] :
( p2(X97)
& ? [X98] :
( ~ p2(X98)
& r1(X97,X98) )
& r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
& ? [X99] :
( ? [X100] :
( ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
& ~ p2(X100)
& r1(X99,X100) )
& r1(X93,X99) ) )
| ! [X103] :
( ( ( ? [X104] :
( p2(X104)
& ? [X105] :
( ~ p2(X105)
& r1(X104,X105) )
& r1(X103,X104) )
| p2(X103) )
& ( ? [X106] :
( ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
& ~ p2(X106)
& r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ? [X111] :
( p2(X111)
& ? [X112] :
( ~ p2(X112)
& r1(X111,X112) )
& r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
& ( ( ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
& ~ p2(X92) )
| ( ! [X115] :
( ? [X116] :
( p2(X116)
& ? [X117] :
( ~ p2(X117)
& r1(X116,X117) )
& r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
& ? [X118] :
( ? [X119] :
( ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p2(X119)
& r1(X118,X119) )
& r1(X92,X118) ) ) )
& r1(X0,X92) )
| ( ( ? [X122] :
( p2(X122)
& ? [X123] :
( ~ p2(X123)
& r1(X122,X123) )
& r1(X0,X122) )
| p2(X0) )
& ( ? [X124] :
( ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ? [X129] :
( p2(X129)
& ? [X130] :
( ~ p2(X130)
& r1(X129,X130) )
& r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) )
& ! [X131] :
( ? [X132] :
( p1(X132)
& ? [X133] :
( ~ p1(X133)
& r1(X132,X133) )
& r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
& ? [X134] :
( ~ p1(X134)
& r1(X0,X134) )
& ! [X135] :
( ? [X136] :
( p2(X136)
& ? [X137] :
( ~ p2(X137)
& r1(X136,X137) )
& r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
& ? [X138] :
( ~ p2(X138)
& r1(X0,X138) )
& ! [X139] :
( ? [X140] :
( p3(X140)
& ? [X141] :
( ~ p3(X141)
& r1(X140,X141) )
& r1(X139,X140) )
| p3(X139)
| ~ r1(X0,X139) )
& ? [X142] :
( ~ p3(X142)
& r1(X0,X142) ) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0] :
( ! [X127] :
( ! [X128] :
( ? [X129] :
( p2(X129)
& ? [X130] :
( ~ p2(X130)
& r1(X129,X130) )
& r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X92] :
( ( ! [X115] :
( ? [X116] :
( p2(X116)
& ? [X117] :
( ~ p2(X117)
& r1(X116,X117) )
& r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
& ? [X118] :
( ? [X119] :
( ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p2(X119)
& r1(X118,X119) )
& r1(X92,X118) ) )
| ~ sP1(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X103] :
( ! [X109] :
( ! [X110] :
( ? [X111] :
( p2(X111)
& ? [X112] :
( ~ p2(X112)
& r1(X111,X112) )
& r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) )
| ~ sP2(X103) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X93] :
( ( ! [X96] :
( ? [X97] :
( p2(X97)
& ? [X98] :
( ~ p2(X98)
& r1(X97,X98) )
& r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
& ? [X99] :
( ? [X100] :
( ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
& ~ p2(X100)
& r1(X99,X100) )
& r1(X93,X99) ) )
| ~ sP3(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X93] :
( ! [X103] :
( ( ( ? [X104] :
( p2(X104)
& ? [X105] :
( ~ p2(X105)
& r1(X104,X105) )
& r1(X103,X104) )
| p2(X103) )
& ( ? [X106] :
( ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
& ~ p2(X106)
& r1(X103,X106) )
| sP2(X103) ) )
| ~ r1(X93,X103) )
| ~ sP4(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X0] :
( ( ( ? [X122] :
( p2(X122)
& ? [X123] :
( ~ p2(X123)
& r1(X122,X123) )
& r1(X0,X122) )
| p2(X0) )
& ( ? [X124] :
( ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X0,X124) )
| sP0(X0) ) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
! [X86] :
( ? [X87] :
( ? [X88] : r1(X87,X88)
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
| ~ sP6(X86) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
! [X79] :
( ? [X80] :
( ? [X81] : r1(X80,X81)
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
| ~ sP7(X79) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f16,plain,
! [X77] :
( ! [X78] :
( ( ? [X79] :
( sP7(X79)
& ~ p1(X79)
& ~ p2(X79)
& ~ p3(X79)
& ~ p4(X79)
& r1(X78,X79) )
& ~ p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ~ sP8(X77) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f17,plain,
! [X77] :
( ? [X86] :
( sP6(X86)
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
| ~ sP9(X77) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f18,plain,
! [X67] :
( ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
| ~ sP10(X67) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f19,plain,
! [X66] :
( ? [X73] :
( ? [X74] : r1(X73,X74)
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
| ~ sP11(X66) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
! [X66] :
( ! [X67] :
( ( sP10(X67)
& ~ p1(X67)
& ~ p2(X67)
& ~ p3(X67)
& ~ p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
| ~ sP12(X66) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
! [X56] :
( ? [X57] :
( ? [X58] : r1(X57,X58)
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
| ~ sP13(X56) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
! [X55] :
( ? [X62] :
( ? [X63] : r1(X62,X63)
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
| ~ sP14(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f23,plain,
! [X55] :
( ! [X56] :
( ( sP13(X56)
& ~ p1(X56)
& ~ p2(X56)
& ~ p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ~ sP15(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f24,plain,
! [X44] :
( ! [X45] :
( ( ? [X46] :
( ? [X47] : r1(X46,X47)
& ~ p1(X46)
& ~ p2(X46)
& ~ p3(X46)
& ~ p4(X46)
& r1(X45,X46) )
& ~ p1(X45)
& ~ p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ~ sP16(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
! [X44] :
( ? [X51] :
( ? [X52] : r1(X51,X52)
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
| ~ sP17(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f26,plain,
! [X33] :
( ! [X34] :
( ( ? [X35] :
( ? [X36] : r1(X35,X36)
& ~ p1(X35)
& ~ p2(X35)
& ~ p3(X35)
& ~ p4(X35)
& r1(X34,X35) )
& ~ p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ~ sP18(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f27,plain,
! [X33] :
( ? [X40] :
( ? [X41] : r1(X40,X41)
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
| ~ sP19(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f28,plain,
! [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ~ sP20(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f29,plain,
! [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ~ sP21(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f30,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( sP21(X19)
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( sP20(X26)
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( sP18(X33)
& sP19(X33)
& ~ p1(X33)
& r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ? [X44] :
( sP16(X44)
& sP17(X44)
& ~ p1(X44)
& ~ p2(X44)
& r1(X0,X44) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ? [X55] :
( sP15(X55)
& sP14(X55)
& ~ p1(X55)
& ~ p2(X55)
& ~ p3(X55)
& r1(X0,X55) )
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X66] :
( sP12(X66)
& sP11(X66)
& ~ p1(X66)
& ~ p2(X66)
& ~ p3(X66)
& ~ p4(X66)
& r1(X0,X66) )
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X77] :
( sP8(X77)
& sP9(X77)
& ~ p1(X77)
& r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ? [X92] :
( ! [X93] :
( ( ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
& ~ p2(X93) )
| sP3(X93)
| sP4(X93)
| ~ r1(X92,X93) )
& ( ( ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
& ~ p2(X92) )
| sP1(X92) )
& r1(X0,X92) )
| sP5(X0) )
& ! [X131] :
( ? [X132] :
( p1(X132)
& ? [X133] :
( ~ p1(X133)
& r1(X132,X133) )
& r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
& ? [X134] :
( ~ p1(X134)
& r1(X0,X134) )
& ! [X135] :
( ? [X136] :
( p2(X136)
& ? [X137] :
( ~ p2(X137)
& r1(X136,X137) )
& r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
& ? [X138] :
( ~ p2(X138)
& r1(X0,X138) )
& ! [X139] :
( ? [X140] :
( p3(X140)
& ? [X141] :
( ~ p3(X141)
& r1(X140,X141) )
& r1(X139,X140) )
| p3(X139)
| ~ r1(X0,X139) )
& ? [X142] :
( ~ p3(X142)
& r1(X0,X142) ) ),
inference(definition_folding,[],[f7,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f101,plain,
! [X0] :
( ( ( ? [X122] :
( p2(X122)
& ? [X123] :
( ~ p2(X123)
& r1(X122,X123) )
& r1(X0,X122) )
| p2(X0) )
& ( ? [X124] :
( ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X0,X124) )
| sP0(X0) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f102,plain,
! [X0] :
( ( ( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| p2(X0) )
& ( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p2(X3)
& r1(X0,X3) )
| sP0(X0) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK46(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK46(X0),X2) )
& r1(X0,sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK46(X0),X2) )
=> ( ~ p2(sK47(X0))
& r1(sK46(X0),sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p2(X3)
& r1(X0,X3) )
=> ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK48(X0),X4) )
& ~ p2(sK48(X0))
& r1(X0,sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0] :
( ( ( ( p2(sK46(X0))
& ~ p2(sK47(X0))
& r1(sK46(X0),sK47(X0))
& r1(X0,sK46(X0)) )
| p2(X0) )
& ( ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK48(X0),X4) )
& ~ p2(sK48(X0))
& r1(X0,sK48(X0)) )
| sP0(X0) ) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47,sK48])],[f102,f105,f104,f103]) ).
fof(f107,plain,
! [X93] :
( ! [X103] :
( ( ( ? [X104] :
( p2(X104)
& ? [X105] :
( ~ p2(X105)
& r1(X104,X105) )
& r1(X103,X104) )
| p2(X103) )
& ( ? [X106] :
( ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
& ~ p2(X106)
& r1(X103,X106) )
| sP2(X103) ) )
| ~ r1(X93,X103) )
| ~ sP4(X93) ),
inference(nnf_transformation,[],[f12]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( ( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1) )
& ( ? [X4] :
( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
& ~ p2(X4)
& r1(X1,X4) )
| sP2(X1) ) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f107]) ).
fof(f109,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK49(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK49(X1),X3) )
& r1(X1,sK49(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK49(X1),X3) )
=> ( ~ p2(sK50(X1))
& r1(sK49(X1),sK50(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X1] :
( ? [X4] :
( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
& ~ p2(X4)
& r1(X1,X4) )
=> ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK51(X1),X5) )
& ~ p2(sK51(X1))
& r1(X1,sK51(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ( ( ( p2(sK49(X1))
& ~ p2(sK50(X1))
& r1(sK49(X1),sK50(X1))
& r1(X1,sK49(X1)) )
| p2(X1) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK51(X1),X5) )
& ~ p2(sK51(X1))
& r1(X1,sK51(X1)) )
| sP2(X1) ) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50,sK51])],[f108,f111,f110,f109]) ).
fof(f113,plain,
! [X93] :
( ( ! [X96] :
( ? [X97] :
( p2(X97)
& ? [X98] :
( ~ p2(X98)
& r1(X97,X98) )
& r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
& ? [X99] :
( ? [X100] :
( ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
& ~ p2(X100)
& r1(X99,X100) )
& r1(X93,X99) ) )
| ~ sP3(X93) ),
inference(nnf_transformation,[],[f11]) ).
fof(f114,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f113]) ).
fof(f115,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK52(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK52(X1),X3) )
& r1(X1,sK52(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK52(X1),X3) )
=> ( ~ p2(sK53(X1))
& r1(sK52(X1),sK53(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) )
=> ( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK54(X0),X5) )
& r1(X0,sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK54(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK55(X0),X6) )
& ~ p2(sK55(X0))
& r1(sK54(X0),sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK52(X1))
& ~ p2(sK53(X1))
& r1(sK52(X1),sK53(X1))
& r1(X1,sK52(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK55(X0),X6) )
& ~ p2(sK55(X0))
& r1(sK54(X0),sK55(X0))
& r1(X0,sK54(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52,sK53,sK54,sK55])],[f114,f118,f117,f116,f115]) ).
fof(f125,plain,
! [X92] :
( ( ! [X115] :
( ? [X116] :
( p2(X116)
& ? [X117] :
( ~ p2(X117)
& r1(X116,X117) )
& r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
& ? [X118] :
( ? [X119] :
( ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p2(X119)
& r1(X118,X119) )
& r1(X92,X118) ) )
| ~ sP1(X92) ),
inference(nnf_transformation,[],[f9]) ).
fof(f126,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f125]) ).
fof(f127,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK58(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK58(X1),X3) )
& r1(X1,sK58(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK58(X1),X3) )
=> ( ~ p2(sK59(X1))
& r1(sK58(X1),sK59(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) )
=> ( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK60(X0),X5) )
& r1(X0,sK60(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK60(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK61(X0),X6) )
& ~ p2(sK61(X0))
& r1(sK60(X0),sK61(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK58(X1))
& ~ p2(sK59(X1))
& r1(sK58(X1),sK59(X1))
& r1(X1,sK58(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK61(X0),X6) )
& ~ p2(sK61(X0))
& r1(sK60(X0),sK61(X0))
& r1(X0,sK60(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58,sK59,sK60,sK61])],[f126,f130,f129,f128,f127]) ).
fof(f132,plain,
! [X0] :
( ! [X127] :
( ! [X128] :
( ? [X129] :
( p2(X129)
& ? [X130] :
( ~ p2(X130)
& r1(X129,X130) )
& r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f8]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f132]) ).
fof(f134,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK62(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK62(X2),X4) )
& r1(X2,sK62(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK62(X2),X4) )
=> ( ~ p2(sK63(X2))
& r1(sK62(X2),sK63(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK62(X2))
& ~ p2(sK63(X2))
& r1(sK62(X2),sK63(X2))
& r1(X2,sK62(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62,sK63])],[f133,f135,f134]) ).
fof(f137,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( sP21(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X21] : ~ r1(X0,X21)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X22] :
( sP20(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(X0,X22) )
| ! [X24] : ~ r1(X0,X24)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X25] :
( sP18(X25)
& sP19(X25)
& ~ p1(X25)
& r1(X0,X25) )
| ! [X26] :
( ! [X27] : ~ r1(X26,X27)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| p1(X0) )
& ( ? [X28] :
( sP16(X28)
& sP17(X28)
& ~ p1(X28)
& ~ p2(X28)
& r1(X0,X28) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X0,X29) )
| p1(X0)
| p2(X0) )
& ( ? [X31] :
( sP15(X31)
& sP14(X31)
& ~ p1(X31)
& ~ p2(X31)
& ~ p3(X31)
& r1(X0,X31) )
| ! [X32] :
( ! [X33] : ~ r1(X32,X33)
| p1(X32)
| p2(X32)
| p3(X32)
| p4(X32)
| ~ r1(X0,X32) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X34] :
( sP12(X34)
& sP11(X34)
& ~ p1(X34)
& ~ p2(X34)
& ~ p3(X34)
& ~ p4(X34)
& r1(X0,X34) )
| ! [X35] :
( ! [X36] : ~ r1(X35,X36)
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X0,X35) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X37] :
( sP8(X37)
& sP9(X37)
& ~ p1(X37)
& r1(X0,X37) )
| ! [X38] :
( ! [X39] :
( ! [X40] : ~ r1(X39,X40)
| p1(X39)
| p2(X39)
| p3(X39)
| p4(X39)
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X0,X38) )
| p1(X0) )
& ( ? [X41] :
( ! [X42] :
( ( ! [X43] :
( ~ p2(X43)
| ! [X44] :
( p2(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p2(X42) )
| sP3(X42)
| sP4(X42)
| ~ r1(X41,X42) )
& ( ( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X41,X45) )
& ~ p2(X41) )
| sP1(X41) )
& r1(X0,X41) )
| sP5(X0) )
& ! [X47] :
( ? [X48] :
( p1(X48)
& ? [X49] :
( ~ p1(X49)
& r1(X48,X49) )
& r1(X47,X48) )
| p1(X47)
| ~ r1(X0,X47) )
& ? [X50] :
( ~ p1(X50)
& r1(X0,X50) )
& ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X0,X51) )
& ? [X54] :
( ~ p2(X54)
& r1(X0,X54) )
& ! [X55] :
( ? [X56] :
( p3(X56)
& ? [X57] :
( ~ p3(X57)
& r1(X56,X57) )
& r1(X55,X56) )
| p3(X55)
| ~ r1(X0,X55) )
& ? [X58] :
( ~ p3(X58)
& r1(X0,X58) ) ),
inference(rectify,[],[f30]) ).
fof(f138,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( sP21(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X21] : ~ r1(X0,X21)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X22] :
( sP20(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(X0,X22) )
| ! [X24] : ~ r1(X0,X24)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X25] :
( sP18(X25)
& sP19(X25)
& ~ p1(X25)
& r1(X0,X25) )
| ! [X26] :
( ! [X27] : ~ r1(X26,X27)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| p1(X0) )
& ( ? [X28] :
( sP16(X28)
& sP17(X28)
& ~ p1(X28)
& ~ p2(X28)
& r1(X0,X28) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X0,X29) )
| p1(X0)
| p2(X0) )
& ( ? [X31] :
( sP15(X31)
& sP14(X31)
& ~ p1(X31)
& ~ p2(X31)
& ~ p3(X31)
& r1(X0,X31) )
| ! [X32] :
( ! [X33] : ~ r1(X32,X33)
| p1(X32)
| p2(X32)
| p3(X32)
| p4(X32)
| ~ r1(X0,X32) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X34] :
( sP12(X34)
& sP11(X34)
& ~ p1(X34)
& ~ p2(X34)
& ~ p3(X34)
& ~ p4(X34)
& r1(X0,X34) )
| ! [X35] :
( ! [X36] : ~ r1(X35,X36)
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X0,X35) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X37] :
( sP8(X37)
& sP9(X37)
& ~ p1(X37)
& r1(X0,X37) )
| ! [X38] :
( ! [X39] :
( ! [X40] : ~ r1(X39,X40)
| p1(X39)
| p2(X39)
| p3(X39)
| p4(X39)
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X0,X38) )
| p1(X0) )
& ( ? [X41] :
( ! [X42] :
( ( ! [X43] :
( ~ p2(X43)
| ! [X44] :
( p2(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p2(X42) )
| sP3(X42)
| sP4(X42)
| ~ r1(X41,X42) )
& ( ( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X41,X45) )
& ~ p2(X41) )
| sP1(X41) )
& r1(X0,X41) )
| sP5(X0) )
& ! [X47] :
( ? [X48] :
( p1(X48)
& ? [X49] :
( ~ p1(X49)
& r1(X48,X49) )
& r1(X47,X48) )
| p1(X47)
| ~ r1(X0,X47) )
& ? [X50] :
( ~ p1(X50)
& r1(X0,X50) )
& ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X0,X51) )
& ? [X54] :
( ~ p2(X54)
& r1(X0,X54) )
& ! [X55] :
( ? [X56] :
( p3(X56)
& ? [X57] :
( ~ p3(X57)
& r1(X56,X57) )
& r1(X55,X56) )
| p3(X55)
| ~ r1(X0,X55) )
& ? [X58] :
( ~ p3(X58)
& r1(X0,X58) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK64,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(sK64,X5) )
| ! [X11] : ~ r1(sK64,X11)
| p1(sK64) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(sK64,X12) )
| ! [X18] : ~ r1(sK64,X18)
| p1(sK64)
| p2(sK64) )
& ( ? [X19] :
( sP21(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(sK64,X19) )
| ! [X21] : ~ r1(sK64,X21)
| p1(sK64)
| p2(sK64)
| p3(sK64) )
& ( ? [X22] :
( sP20(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(sK64,X22) )
| ! [X24] : ~ r1(sK64,X24)
| p1(sK64)
| p2(sK64)
| p3(sK64)
| p4(sK64) )
& ( ? [X25] :
( sP18(X25)
& sP19(X25)
& ~ p1(X25)
& r1(sK64,X25) )
| ! [X26] :
( ! [X27] : ~ r1(X26,X27)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(sK64,X26) )
| p1(sK64) )
& ( ? [X28] :
( sP16(X28)
& sP17(X28)
& ~ p1(X28)
& ~ p2(X28)
& r1(sK64,X28) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(sK64,X29) )
| p1(sK64)
| p2(sK64) )
& ( ? [X31] :
( sP15(X31)
& sP14(X31)
& ~ p1(X31)
& ~ p2(X31)
& ~ p3(X31)
& r1(sK64,X31) )
| ! [X32] :
( ! [X33] : ~ r1(X32,X33)
| p1(X32)
| p2(X32)
| p3(X32)
| p4(X32)
| ~ r1(sK64,X32) )
| p1(sK64)
| p2(sK64)
| p3(sK64) )
& ( ? [X34] :
( sP12(X34)
& sP11(X34)
& ~ p1(X34)
& ~ p2(X34)
& ~ p3(X34)
& ~ p4(X34)
& r1(sK64,X34) )
| ! [X35] :
( ! [X36] : ~ r1(X35,X36)
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(sK64,X35) )
| p1(sK64)
| p2(sK64)
| p3(sK64)
| p4(sK64) )
& ( ? [X37] :
( sP8(X37)
& sP9(X37)
& ~ p1(X37)
& r1(sK64,X37) )
| ! [X38] :
( ! [X39] :
( ! [X40] : ~ r1(X39,X40)
| p1(X39)
| p2(X39)
| p3(X39)
| p4(X39)
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(sK64,X38) )
| p1(sK64) )
& ( ? [X41] :
( ! [X42] :
( ( ! [X43] :
( ~ p2(X43)
| ! [X44] :
( p2(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p2(X42) )
| sP3(X42)
| sP4(X42)
| ~ r1(X41,X42) )
& ( ( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X41,X45) )
& ~ p2(X41) )
| sP1(X41) )
& r1(sK64,X41) )
| sP5(sK64) )
& ! [X47] :
( ? [X48] :
( p1(X48)
& ? [X49] :
( ~ p1(X49)
& r1(X48,X49) )
& r1(X47,X48) )
| p1(X47)
| ~ r1(sK64,X47) )
& ? [X50] :
( ~ p1(X50)
& r1(sK64,X50) )
& ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(sK64,X51) )
& ? [X54] :
( ~ p2(X54)
& r1(sK64,X54) )
& ! [X55] :
( ? [X56] :
( p3(X56)
& ? [X57] :
( ~ p3(X57)
& r1(X56,X57) )
& r1(X55,X56) )
| p3(X55)
| ~ r1(sK64,X55) )
& ? [X58] :
( ~ p3(X58)
& r1(sK64,X58) ) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK65(X1),X3) )
& ~ p2(sK65(X1))
& r1(X1,sK65(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(sK64,X5) )
=> ( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(sK66,X6) )
& ? [X10] : r1(sK66,X10)
& ~ p1(sK66)
& r1(sK64,sK66) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X6] :
( ? [X7] : r1(X6,X7)
=> r1(X6,sK67(X6)) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X10] : r1(sK66,X10)
=> r1(sK66,sK68) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(sK64,X12) )
=> ( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(sK69,X13) )
& ? [X17] : r1(sK69,X17)
& ~ p1(sK69)
& ~ p2(sK69)
& r1(sK64,sK69) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X13] :
( ? [X14] : r1(X13,X14)
=> r1(X13,sK70(X13)) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X17] : r1(sK69,X17)
=> r1(sK69,sK71) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
( ? [X19] :
( sP21(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(sK64,X19) )
=> ( sP21(sK72)
& ? [X20] : r1(sK72,X20)
& ~ p1(sK72)
& ~ p2(sK72)
& ~ p3(sK72)
& r1(sK64,sK72) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
( ? [X20] : r1(sK72,X20)
=> r1(sK72,sK73) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X22] :
( sP20(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(sK64,X22) )
=> ( sP20(sK74)
& ? [X23] : r1(sK74,X23)
& ~ p1(sK74)
& ~ p2(sK74)
& ~ p3(sK74)
& ~ p4(sK74)
& r1(sK64,sK74) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X23] : r1(sK74,X23)
=> r1(sK74,sK75) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X25] :
( sP18(X25)
& sP19(X25)
& ~ p1(X25)
& r1(sK64,X25) )
=> ( sP18(sK76)
& sP19(sK76)
& ~ p1(sK76)
& r1(sK64,sK76) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X28] :
( sP16(X28)
& sP17(X28)
& ~ p1(X28)
& ~ p2(X28)
& r1(sK64,X28) )
=> ( sP16(sK77)
& sP17(sK77)
& ~ p1(sK77)
& ~ p2(sK77)
& r1(sK64,sK77) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ? [X31] :
( sP15(X31)
& sP14(X31)
& ~ p1(X31)
& ~ p2(X31)
& ~ p3(X31)
& r1(sK64,X31) )
=> ( sP15(sK78)
& sP14(sK78)
& ~ p1(sK78)
& ~ p2(sK78)
& ~ p3(sK78)
& r1(sK64,sK78) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( ? [X34] :
( sP12(X34)
& sP11(X34)
& ~ p1(X34)
& ~ p2(X34)
& ~ p3(X34)
& ~ p4(X34)
& r1(sK64,X34) )
=> ( sP12(sK79)
& sP11(sK79)
& ~ p1(sK79)
& ~ p2(sK79)
& ~ p3(sK79)
& ~ p4(sK79)
& r1(sK64,sK79) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
( ? [X37] :
( sP8(X37)
& sP9(X37)
& ~ p1(X37)
& r1(sK64,X37) )
=> ( sP8(sK80)
& sP9(sK80)
& ~ p1(sK80)
& r1(sK64,sK80) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
( ? [X41] :
( ! [X42] :
( ( ! [X43] :
( ~ p2(X43)
| ! [X44] :
( p2(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p2(X42) )
| sP3(X42)
| sP4(X42)
| ~ r1(X41,X42) )
& ( ( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X41,X45) )
& ~ p2(X41) )
| sP1(X41) )
& r1(sK64,X41) )
=> ( ! [X42] :
( ( ! [X43] :
( ~ p2(X43)
| ! [X44] :
( p2(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p2(X42) )
| sP3(X42)
| sP4(X42)
| ~ r1(sK81,X42) )
& ( ( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(sK81,X45) )
& ~ p2(sK81) )
| sP1(sK81) )
& r1(sK64,sK81) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X47] :
( ? [X48] :
( p1(X48)
& ? [X49] :
( ~ p1(X49)
& r1(X48,X49) )
& r1(X47,X48) )
=> ( p1(sK82(X47))
& ? [X49] :
( ~ p1(X49)
& r1(sK82(X47),X49) )
& r1(X47,sK82(X47)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X47] :
( ? [X49] :
( ~ p1(X49)
& r1(sK82(X47),X49) )
=> ( ~ p1(sK83(X47))
& r1(sK82(X47),sK83(X47)) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
( ? [X50] :
( ~ p1(X50)
& r1(sK64,X50) )
=> ( ~ p1(sK84)
& r1(sK64,sK84) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
=> ( p2(sK85(X51))
& ? [X53] :
( ~ p2(X53)
& r1(sK85(X51),X53) )
& r1(X51,sK85(X51)) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X51] :
( ? [X53] :
( ~ p2(X53)
& r1(sK85(X51),X53) )
=> ( ~ p2(sK86(X51))
& r1(sK85(X51),sK86(X51)) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
( ? [X54] :
( ~ p2(X54)
& r1(sK64,X54) )
=> ( ~ p2(sK87)
& r1(sK64,sK87) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
! [X55] :
( ? [X56] :
( p3(X56)
& ? [X57] :
( ~ p3(X57)
& r1(X56,X57) )
& r1(X55,X56) )
=> ( p3(sK88(X55))
& ? [X57] :
( ~ p3(X57)
& r1(sK88(X55),X57) )
& r1(X55,sK88(X55)) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
! [X55] :
( ? [X57] :
( ~ p3(X57)
& r1(sK88(X55),X57) )
=> ( ~ p3(sK89(X55))
& r1(sK88(X55),sK89(X55)) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( ? [X58] :
( ~ p3(X58)
& r1(sK64,X58) )
=> ( ~ p3(sK90)
& r1(sK64,sK90) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK65(X1),X3) )
& ~ p2(sK65(X1))
& r1(X1,sK65(X1)) )
| p2(X1)
| ~ r1(sK64,X1) )
& ( ( ! [X6] :
( ( r1(X6,sK67(X6))
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(sK66,X6) )
& r1(sK66,sK68)
& ~ p1(sK66)
& r1(sK64,sK66) )
| ! [X11] : ~ r1(sK64,X11)
| p1(sK64) )
& ( ( ! [X13] :
( ( r1(X13,sK70(X13))
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(sK69,X13) )
& r1(sK69,sK71)
& ~ p1(sK69)
& ~ p2(sK69)
& r1(sK64,sK69) )
| ! [X18] : ~ r1(sK64,X18)
| p1(sK64)
| p2(sK64) )
& ( ( sP21(sK72)
& r1(sK72,sK73)
& ~ p1(sK72)
& ~ p2(sK72)
& ~ p3(sK72)
& r1(sK64,sK72) )
| ! [X21] : ~ r1(sK64,X21)
| p1(sK64)
| p2(sK64)
| p3(sK64) )
& ( ( sP20(sK74)
& r1(sK74,sK75)
& ~ p1(sK74)
& ~ p2(sK74)
& ~ p3(sK74)
& ~ p4(sK74)
& r1(sK64,sK74) )
| ! [X24] : ~ r1(sK64,X24)
| p1(sK64)
| p2(sK64)
| p3(sK64)
| p4(sK64) )
& ( ( sP18(sK76)
& sP19(sK76)
& ~ p1(sK76)
& r1(sK64,sK76) )
| ! [X26] :
( ! [X27] : ~ r1(X26,X27)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(sK64,X26) )
| p1(sK64) )
& ( ( sP16(sK77)
& sP17(sK77)
& ~ p1(sK77)
& ~ p2(sK77)
& r1(sK64,sK77) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(sK64,X29) )
| p1(sK64)
| p2(sK64) )
& ( ( sP15(sK78)
& sP14(sK78)
& ~ p1(sK78)
& ~ p2(sK78)
& ~ p3(sK78)
& r1(sK64,sK78) )
| ! [X32] :
( ! [X33] : ~ r1(X32,X33)
| p1(X32)
| p2(X32)
| p3(X32)
| p4(X32)
| ~ r1(sK64,X32) )
| p1(sK64)
| p2(sK64)
| p3(sK64) )
& ( ( sP12(sK79)
& sP11(sK79)
& ~ p1(sK79)
& ~ p2(sK79)
& ~ p3(sK79)
& ~ p4(sK79)
& r1(sK64,sK79) )
| ! [X35] :
( ! [X36] : ~ r1(X35,X36)
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(sK64,X35) )
| p1(sK64)
| p2(sK64)
| p3(sK64)
| p4(sK64) )
& ( ( sP8(sK80)
& sP9(sK80)
& ~ p1(sK80)
& r1(sK64,sK80) )
| ! [X38] :
( ! [X39] :
( ! [X40] : ~ r1(X39,X40)
| p1(X39)
| p2(X39)
| p3(X39)
| p4(X39)
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(sK64,X38) )
| p1(sK64) )
& ( ( ! [X42] :
( ( ! [X43] :
( ~ p2(X43)
| ! [X44] :
( p2(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p2(X42) )
| sP3(X42)
| sP4(X42)
| ~ r1(sK81,X42) )
& ( ( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(sK81,X45) )
& ~ p2(sK81) )
| sP1(sK81) )
& r1(sK64,sK81) )
| sP5(sK64) )
& ! [X47] :
( ( p1(sK82(X47))
& ~ p1(sK83(X47))
& r1(sK82(X47),sK83(X47))
& r1(X47,sK82(X47)) )
| p1(X47)
| ~ r1(sK64,X47) )
& ~ p1(sK84)
& r1(sK64,sK84)
& ! [X51] :
( ( p2(sK85(X51))
& ~ p2(sK86(X51))
& r1(sK85(X51),sK86(X51))
& r1(X51,sK85(X51)) )
| p2(X51)
| ~ r1(sK64,X51) )
& ~ p2(sK87)
& r1(sK64,sK87)
& ! [X55] :
( ( p3(sK88(X55))
& ~ p3(sK89(X55))
& r1(sK88(X55),sK89(X55))
& r1(X55,sK88(X55)) )
| p3(X55)
| ~ r1(sK64,X55) )
& ~ p3(sK90)
& r1(sK64,sK90) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64,sK65,sK66,sK67,sK68,sK69,sK70,sK71,sK72,sK73,sK74,sK75,sK76,sK77,sK78,sK79,sK80,sK81,sK82,sK83,sK84,sK85,sK86,sK87,sK88,sK89,sK90])],[f137,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138]) ).
fof(f260,plain,
! [X0] :
( r1(X0,sK48(X0))
| sP0(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f261,plain,
! [X0] :
( ~ p2(sK48(X0))
| sP0(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f262,plain,
! [X0,X4,X5] :
( ~ p2(X4)
| p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK48(X0),X4)
| sP0(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f270,plain,
! [X0,X1] :
( r1(X1,sK49(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f271,plain,
! [X0,X1] :
( r1(sK49(X1),sK50(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f272,plain,
! [X0,X1] :
( ~ p2(sK50(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f273,plain,
! [X0,X1] :
( p2(sK49(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f278,plain,
! [X0,X1] :
( r1(X1,sK52(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f279,plain,
! [X0,X1] :
( r1(sK52(X1),sK53(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f280,plain,
! [X0,X1] :
( ~ p2(sK53(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f281,plain,
! [X0,X1] :
( p2(sK52(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f286,plain,
! [X0] :
( r1(X0,sK60(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f287,plain,
! [X0] :
( r1(sK60(X0),sK61(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f288,plain,
! [X0] :
( ~ p2(sK61(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f289,plain,
! [X0,X6,X7] :
( ~ p2(X6)
| p2(X7)
| ~ r1(X6,X7)
| ~ r1(sK61(X0),X6)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f290,plain,
! [X0,X1] :
( r1(X1,sK58(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f291,plain,
! [X0,X1] :
( r1(sK58(X1),sK59(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f292,plain,
! [X0,X1] :
( ~ p2(sK59(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f293,plain,
! [X0,X1] :
( p2(sK58(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f294,plain,
! [X2,X0,X1] :
( r1(X2,sK62(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f295,plain,
! [X2,X0,X1] :
( r1(sK62(X2),sK63(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ p2(sK63(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f297,plain,
! [X2,X0,X1] :
( p2(sK62(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f304,plain,
r1(sK64,sK87),
inference(cnf_transformation,[],[f165]) ).
fof(f305,plain,
~ p2(sK87),
inference(cnf_transformation,[],[f165]) ).
fof(f306,plain,
! [X51] :
( r1(X51,sK85(X51))
| p2(X51)
| ~ r1(sK64,X51) ),
inference(cnf_transformation,[],[f165]) ).
fof(f307,plain,
! [X51] :
( r1(sK85(X51),sK86(X51))
| p2(X51)
| ~ r1(sK64,X51) ),
inference(cnf_transformation,[],[f165]) ).
fof(f308,plain,
! [X51] :
( ~ p2(sK86(X51))
| p2(X51)
| ~ r1(sK64,X51) ),
inference(cnf_transformation,[],[f165]) ).
fof(f309,plain,
! [X51] :
( p2(sK85(X51))
| p2(X51)
| ~ r1(sK64,X51) ),
inference(cnf_transformation,[],[f165]) ).
fof(f316,plain,
( r1(sK64,sK81)
| sP5(sK64) ),
inference(cnf_transformation,[],[f165]) ).
fof(f317,plain,
( ~ p2(sK81)
| sP1(sK81)
| sP5(sK64) ),
inference(cnf_transformation,[],[f165]) ).
fof(f318,plain,
! [X46,X45] :
( ~ p2(X45)
| p2(X46)
| ~ r1(X45,X46)
| ~ r1(sK81,X45)
| sP1(sK81)
| sP5(sK64) ),
inference(cnf_transformation,[],[f165]) ).
fof(f319,plain,
! [X42] :
( ~ p2(X42)
| sP3(X42)
| sP4(X42)
| ~ r1(sK81,X42)
| sP5(sK64) ),
inference(cnf_transformation,[],[f165]) ).
fof(f320,plain,
! [X44,X42,X43] :
( ~ p2(X43)
| p2(X44)
| ~ r1(X43,X44)
| ~ r1(X42,X43)
| sP3(X42)
| sP4(X42)
| ~ r1(sK81,X42)
| sP5(sK64) ),
inference(cnf_transformation,[],[f165]) ).
fof(f372,plain,
! [X1] :
( r1(X1,sK65(X1))
| p2(X1)
| ~ r1(sK64,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f373,plain,
! [X1] :
( ~ p2(sK65(X1))
| p2(X1)
| ~ r1(sK64,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f374,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK65(X1),X3)
| p2(X1)
| ~ r1(sK64,X1) ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_147,plain,
( ~ r1(sK48(X0),X1)
| ~ r1(X1,X2)
| ~ p2(X1)
| ~ sP5(X0)
| p2(X2)
| sP0(X0) ),
inference(cnf_transformation,[],[f262]) ).
cnf(c_148,plain,
( ~ p2(sK48(X0))
| ~ sP5(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f261]) ).
cnf(c_149,plain,
( ~ sP5(X0)
| r1(X0,sK48(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f260]) ).
cnf(c_150,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| p2(sK49(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f273]) ).
cnf(c_151,plain,
( ~ r1(X0,X1)
| ~ p2(sK50(X1))
| ~ sP4(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f272]) ).
cnf(c_152,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| r1(sK49(X1),sK50(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f271]) ).
cnf(c_153,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| r1(X1,sK49(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f270]) ).
cnf(c_157,plain,
( ~ r1(X0,X1)
| ~ sP3(X0)
| p2(sK52(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f281]) ).
cnf(c_158,plain,
( ~ r1(X0,X1)
| ~ p2(sK53(X1))
| ~ sP3(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f280]) ).
cnf(c_159,plain,
( ~ r1(X0,X1)
| ~ sP3(X0)
| r1(sK52(X1),sK53(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f279]) ).
cnf(c_160,plain,
( ~ r1(X0,X1)
| ~ sP3(X0)
| r1(X1,sK52(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f278]) ).
cnf(c_169,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| p2(sK58(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f293]) ).
cnf(c_170,plain,
( ~ r1(X0,X1)
| ~ p2(sK59(X1))
| ~ sP1(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_171,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| r1(sK58(X1),sK59(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f291]) ).
cnf(c_172,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| r1(X1,sK58(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_173,plain,
( ~ r1(sK61(X0),X1)
| ~ r1(X1,X2)
| ~ p2(X1)
| ~ sP1(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f289]) ).
cnf(c_174,plain,
( ~ p2(sK61(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f288]) ).
cnf(c_175,plain,
( ~ sP1(X0)
| r1(sK60(X0),sK61(X0)) ),
inference(cnf_transformation,[],[f287]) ).
cnf(c_176,plain,
( ~ sP1(X0)
| r1(X0,sK60(X0)) ),
inference(cnf_transformation,[],[f286]) ).
cnf(c_177,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP0(X2)
| p2(sK62(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f297]) ).
cnf(c_178,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p2(sK63(X1))
| ~ sP0(X2)
| p2(X1) ),
inference(cnf_transformation,[],[f296]) ).
cnf(c_179,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP0(X2)
| r1(sK62(X1),sK63(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f295]) ).
cnf(c_180,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP0(X2)
| r1(X1,sK62(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f294]) ).
cnf(c_181,negated_conjecture,
( ~ r1(sK65(X0),X1)
| ~ r1(X1,X2)
| ~ r1(sK64,X0)
| ~ p2(X1)
| p2(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_182,negated_conjecture,
( ~ r1(sK64,X0)
| ~ p2(sK65(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_183,negated_conjecture,
( ~ r1(sK64,X0)
| r1(X0,sK65(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f372]) ).
cnf(c_235,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK81,X2)
| ~ p2(X0)
| p2(X1)
| sP4(X2)
| sP3(X2)
| sP5(sK64) ),
inference(cnf_transformation,[],[f320]) ).
cnf(c_236,negated_conjecture,
( ~ r1(sK81,X0)
| ~ p2(X0)
| sP4(X0)
| sP3(X0)
| sP5(sK64) ),
inference(cnf_transformation,[],[f319]) ).
cnf(c_237,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK81,X0)
| ~ p2(X0)
| p2(X1)
| sP5(sK64)
| sP1(sK81) ),
inference(cnf_transformation,[],[f318]) ).
cnf(c_238,negated_conjecture,
( ~ p2(sK81)
| sP5(sK64)
| sP1(sK81) ),
inference(cnf_transformation,[],[f317]) ).
cnf(c_239,negated_conjecture,
( r1(sK64,sK81)
| sP5(sK64) ),
inference(cnf_transformation,[],[f316]) ).
cnf(c_246,negated_conjecture,
( ~ r1(sK64,X0)
| p2(sK85(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f309]) ).
cnf(c_247,negated_conjecture,
( ~ r1(sK64,X0)
| ~ p2(sK86(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f308]) ).
cnf(c_248,negated_conjecture,
( ~ r1(sK64,X0)
| r1(sK85(X0),sK86(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f307]) ).
cnf(c_249,negated_conjecture,
( ~ r1(sK64,X0)
| r1(X0,sK85(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f306]) ).
cnf(c_250,negated_conjecture,
~ p2(sK87),
inference(cnf_transformation,[],[f305]) ).
cnf(c_251,negated_conjecture,
r1(sK64,sK87),
inference(cnf_transformation,[],[f304]) ).
cnf(c_325,plain,
( ~ sP5(sK64)
| r1(sK64,sK48(sK64))
| sP0(sK64) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_326,plain,
( ~ p2(sK48(sK64))
| ~ sP5(sK64)
| sP0(sK64) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_3233,plain,
( ~ p2(sK81)
| r1(sK81,sK60(sK81))
| sP5(sK64) ),
inference(resolution,[status(thm)],[c_176,c_238]) ).
cnf(c_3262,plain,
( ~ p2(sK81)
| r1(sK60(sK81),sK61(sK81))
| sP5(sK64) ),
inference(resolution,[status(thm)],[c_175,c_238]) ).
cnf(c_3291,plain,
( ~ p2(sK61(sK81))
| ~ p2(sK81)
| sP5(sK64) ),
inference(resolution,[status(thm)],[c_174,c_238]) ).
cnf(c_9428,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK81,X0)
| ~ p2(X0)
| p2(X1)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_237]) ).
cnf(c_9429,negated_conjecture,
( sP5(sK64)
| sP1(sK81)
| sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_237]) ).
cnf(c_9447,plain,
( ~ r1(sK64,sK48(X0))
| p2(sK85(sK48(X0)))
| p2(sK48(X0)) ),
inference(instantiation,[status(thm)],[c_246]) ).
cnf(c_9448,plain,
( ~ r1(sK64,sK48(sK64))
| p2(sK85(sK48(sK64)))
| p2(sK48(sK64)) ),
inference(instantiation,[status(thm)],[c_9447]) ).
cnf(c_9449,plain,
( ~ r1(sK64,sK48(X0))
| ~ p2(sK86(sK48(X0)))
| p2(sK48(X0)) ),
inference(instantiation,[status(thm)],[c_247]) ).
cnf(c_9450,plain,
( ~ r1(sK64,sK48(sK64))
| ~ p2(sK86(sK48(sK64)))
| p2(sK48(sK64)) ),
inference(instantiation,[status(thm)],[c_9449]) ).
cnf(c_9451,plain,
( ~ r1(sK64,sK48(X0))
| r1(sK85(sK48(X0)),sK86(sK48(X0)))
| p2(sK48(X0)) ),
inference(instantiation,[status(thm)],[c_248]) ).
cnf(c_9452,plain,
( ~ r1(sK64,sK48(sK64))
| r1(sK85(sK48(sK64)),sK86(sK48(sK64)))
| p2(sK48(sK64)) ),
inference(instantiation,[status(thm)],[c_9451]) ).
cnf(c_9453,plain,
( ~ r1(sK64,sK48(X0))
| r1(sK48(X0),sK85(sK48(X0)))
| p2(sK48(X0)) ),
inference(instantiation,[status(thm)],[c_249]) ).
cnf(c_9454,plain,
( ~ r1(sK64,sK48(sK64))
| r1(sK48(sK64),sK85(sK48(sK64)))
| p2(sK48(sK64)) ),
inference(instantiation,[status(thm)],[c_9453]) ).
cnf(c_9471,plain,
( ~ r1(sK64,sK87)
| r1(sK87,sK65(sK87))
| p2(sK87) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_9472,plain,
( ~ r1(sK64,sK87)
| ~ p2(sK65(sK87))
| p2(sK87) ),
inference(instantiation,[status(thm)],[c_182]) ).
cnf(c_9480,plain,
( ~ r1(sK87,X0)
| ~ r1(sK64,sK87)
| ~ sP0(sK64)
| r1(X0,sK62(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_180]) ).
cnf(c_9481,plain,
( ~ r1(sK87,X0)
| ~ r1(sK64,sK87)
| ~ sP0(sK64)
| r1(sK62(X0),sK63(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_179]) ).
cnf(c_9482,plain,
( ~ r1(sK87,X0)
| ~ p2(sK63(X0))
| ~ r1(sK64,sK87)
| ~ sP0(sK64)
| p2(X0) ),
inference(instantiation,[status(thm)],[c_178]) ).
cnf(c_9483,plain,
( ~ r1(sK87,X0)
| ~ r1(sK64,sK87)
| ~ sP0(sK64)
| p2(sK62(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_177]) ).
cnf(c_9556,plain,
( ~ sP1(sK81)
| r1(sK81,sK60(sK81)) ),
inference(instantiation,[status(thm)],[c_176]) ).
cnf(c_9557,plain,
( ~ sP1(sK81)
| r1(sK60(sK81),sK61(sK81)) ),
inference(instantiation,[status(thm)],[c_175]) ).
cnf(c_9558,plain,
( ~ p2(sK61(sK81))
| ~ sP1(sK81) ),
inference(instantiation,[status(thm)],[c_174]) ).
cnf(c_9560,plain,
( ~ r1(sK81,X0)
| ~ sP1(sK81)
| r1(X0,sK58(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_172]) ).
cnf(c_9561,plain,
( ~ r1(sK81,X0)
| ~ sP1(sK81)
| r1(sK58(X0),sK59(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_171]) ).
cnf(c_9563,plain,
( ~ r1(sK81,X0)
| ~ sP1(sK81)
| p2(sK58(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_169]) ).
cnf(c_9612,plain,
( ~ r1(sK48(X0),sK85(sK48(X1)))
| ~ r1(sK85(sK48(X1)),X2)
| ~ p2(sK85(sK48(X1)))
| ~ sP5(X0)
| p2(X2)
| sP0(X0) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_9640,plain,
( ~ r1(sK87,sK65(sK87))
| ~ r1(sK64,sK87)
| ~ sP0(sK64)
| p2(sK62(sK65(sK87)))
| p2(sK65(sK87)) ),
inference(instantiation,[status(thm)],[c_9483]) ).
cnf(c_9641,plain,
( ~ r1(sK87,sK65(sK87))
| ~ p2(sK63(sK65(sK87)))
| ~ r1(sK64,sK87)
| ~ sP0(sK64)
| p2(sK65(sK87)) ),
inference(instantiation,[status(thm)],[c_9482]) ).
cnf(c_9642,plain,
( ~ r1(sK87,sK65(sK87))
| ~ r1(sK64,sK87)
| ~ sP0(sK64)
| r1(sK62(sK65(sK87)),sK63(sK65(sK87)))
| p2(sK65(sK87)) ),
inference(instantiation,[status(thm)],[c_9481]) ).
cnf(c_9643,plain,
( ~ r1(sK87,sK65(sK87))
| ~ r1(sK64,sK87)
| ~ sP0(sK64)
| r1(sK65(sK87),sK62(sK65(sK87)))
| p2(sK65(sK87)) ),
inference(instantiation,[status(thm)],[c_9480]) ).
cnf(c_9666,plain,
( ~ r1(sK85(sK48(X0)),sK86(sK48(X0)))
| ~ r1(sK48(X1),sK85(sK48(X0)))
| ~ p2(sK85(sK48(X0)))
| ~ sP5(X1)
| p2(sK86(sK48(X0)))
| sP0(X1) ),
inference(instantiation,[status(thm)],[c_9612]) ).
cnf(c_9667,plain,
( ~ r1(sK85(sK48(sK64)),sK86(sK48(sK64)))
| ~ r1(sK48(sK64),sK85(sK48(sK64)))
| ~ p2(sK85(sK48(sK64)))
| ~ sP5(sK64)
| p2(sK86(sK48(sK64)))
| sP0(sK64) ),
inference(instantiation,[status(thm)],[c_9666]) ).
cnf(c_9689,plain,
( p2(sK85(sK81))
| p2(sK81)
| sP5(sK64) ),
inference(superposition,[status(thm)],[c_239,c_246]) ).
cnf(c_9714,plain,
( ~ r1(sK81,sK60(sK81))
| ~ sP1(sK81)
| p2(sK58(sK60(sK81)))
| p2(sK60(sK81)) ),
inference(instantiation,[status(thm)],[c_9563]) ).
cnf(c_9715,plain,
( ~ r1(sK81,sK60(sK81))
| ~ sP1(sK81)
| r1(sK58(sK60(sK81)),sK59(sK60(sK81)))
| p2(sK60(sK81)) ),
inference(instantiation,[status(thm)],[c_9561]) ).
cnf(c_9716,plain,
( ~ r1(sK81,sK60(sK81))
| ~ sP1(sK81)
| r1(sK60(sK81),sK58(sK60(sK81)))
| p2(sK60(sK81)) ),
inference(instantiation,[status(thm)],[c_9560]) ).
cnf(c_10040,plain,
( ~ r1(sK65(sK87),sK62(sK65(sK87)))
| ~ r1(sK62(sK65(sK87)),X0)
| ~ p2(sK62(sK65(sK87)))
| ~ r1(sK64,sK87)
| p2(X0)
| p2(sK87) ),
inference(instantiation,[status(thm)],[c_181]) ).
cnf(c_10073,plain,
( ~ r1(sK62(sK65(sK87)),sK63(sK65(sK87)))
| ~ r1(sK65(sK87),sK62(sK65(sK87)))
| ~ p2(sK62(sK65(sK87)))
| ~ r1(sK64,sK87)
| p2(sK63(sK65(sK87)))
| p2(sK87) ),
inference(instantiation,[status(thm)],[c_10040]) ).
cnf(c_10095,plain,
( ~ r1(sK61(sK81),X0)
| ~ r1(X0,X1)
| ~ p2(X0)
| ~ sP1(sK81)
| p2(X1) ),
inference(instantiation,[status(thm)],[c_173]) ).
cnf(c_10098,plain,
( ~ r1(sK81,X0)
| ~ p2(sK59(X0))
| ~ sP1(sK81)
| p2(X0) ),
inference(instantiation,[status(thm)],[c_170]) ).
cnf(c_10158,plain,
( ~ r1(sK60(sK81),X0)
| ~ r1(sK81,sK60(sK81))
| ~ r1(X0,X1)
| ~ p2(X0)
| sP4(sK60(sK81))
| sP3(sK60(sK81))
| p2(X1)
| sP5(sK64) ),
inference(instantiation,[status(thm)],[c_235]) ).
cnf(c_10160,plain,
( ~ r1(sK81,sK60(sK81))
| ~ p2(sK59(sK60(sK81)))
| ~ sP1(sK81)
| p2(sK60(sK81)) ),
inference(instantiation,[status(thm)],[c_10098]) ).
cnf(c_10173,plain,
( ~ r1(sK64,sK81)
| r1(sK81,sK85(sK81))
| p2(sK81) ),
inference(instantiation,[status(thm)],[c_249]) ).
cnf(c_10189,plain,
( ~ r1(sK60(sK81),X0)
| ~ sP3(sK60(sK81))
| r1(X0,sK52(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_160]) ).
cnf(c_10190,plain,
( ~ r1(sK60(sK81),X0)
| ~ sP3(sK60(sK81))
| r1(sK52(X0),sK53(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_159]) ).
cnf(c_10191,plain,
( ~ r1(sK60(sK81),X0)
| ~ p2(sK53(X0))
| ~ sP3(sK60(sK81))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_158]) ).
cnf(c_10192,plain,
( ~ r1(sK60(sK81),X0)
| ~ sP3(sK60(sK81))
| p2(sK52(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_10200,plain,
( ~ p2(sK86(sK81))
| p2(sK81)
| sP5(sK64) ),
inference(superposition,[status(thm)],[c_239,c_247]) ).
cnf(c_10244,plain,
( ~ r1(sK60(sK81),sK61(sK81))
| ~ sP3(sK60(sK81))
| r1(sK61(sK81),sK52(sK61(sK81)))
| p2(sK61(sK81)) ),
inference(instantiation,[status(thm)],[c_10189]) ).
cnf(c_10255,plain,
( ~ r1(sK60(sK81),sK61(sK81))
| ~ sP3(sK60(sK81))
| r1(sK52(sK61(sK81)),sK53(sK61(sK81)))
| p2(sK61(sK81)) ),
inference(instantiation,[status(thm)],[c_10190]) ).
cnf(c_10257,plain,
( ~ r1(sK60(sK81),sK61(sK81))
| ~ sP3(sK60(sK81))
| p2(sK52(sK61(sK81)))
| p2(sK61(sK81)) ),
inference(instantiation,[status(thm)],[c_10192]) ).
cnf(c_10263,plain,
( ~ r1(sK60(sK81),sK58(sK60(sK81)))
| ~ r1(sK58(sK60(sK81)),X0)
| ~ r1(sK81,sK60(sK81))
| ~ p2(sK58(sK60(sK81)))
| sP4(sK60(sK81))
| sP3(sK60(sK81))
| p2(X0)
| sP5(sK64) ),
inference(instantiation,[status(thm)],[c_10158]) ).
cnf(c_10266,plain,
( ~ r1(sK58(sK60(sK81)),sK59(sK60(sK81)))
| ~ r1(sK60(sK81),sK58(sK60(sK81)))
| ~ r1(sK81,sK60(sK81))
| ~ p2(sK58(sK60(sK81)))
| p2(sK59(sK60(sK81)))
| sP4(sK60(sK81))
| sP3(sK60(sK81))
| sP5(sK64) ),
inference(instantiation,[status(thm)],[c_10263]) ).
cnf(c_10270,plain,
( ~ r1(sK60(sK81),X0)
| ~ sP4(sK60(sK81))
| r1(X0,sK49(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_153]) ).
cnf(c_10271,plain,
( ~ r1(sK60(sK81),X0)
| ~ sP4(sK60(sK81))
| r1(sK49(X0),sK50(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_152]) ).
cnf(c_10272,plain,
( ~ r1(sK60(sK81),X0)
| ~ p2(sK50(X0))
| ~ sP4(sK60(sK81))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_10273,plain,
( ~ r1(sK60(sK81),X0)
| ~ sP4(sK60(sK81))
| p2(sK49(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_150]) ).
cnf(c_10285,plain,
( ~ r1(sK60(sK81),sK61(sK81))
| ~ sP4(sK60(sK81))
| r1(sK61(sK81),sK49(sK61(sK81)))
| p2(sK61(sK81)) ),
inference(instantiation,[status(thm)],[c_10270]) ).
cnf(c_10293,plain,
( ~ r1(sK60(sK81),sK61(sK81))
| ~ sP4(sK60(sK81))
| r1(sK49(sK61(sK81)),sK50(sK61(sK81)))
| p2(sK61(sK81)) ),
inference(instantiation,[status(thm)],[c_10271]) ).
cnf(c_10296,plain,
( ~ r1(sK60(sK81),sK61(sK81))
| ~ sP4(sK60(sK81))
| p2(sK49(sK61(sK81)))
| p2(sK61(sK81)) ),
inference(instantiation,[status(thm)],[c_10273]) ).
cnf(c_10319,plain,
( ~ r1(sK61(sK81),sK49(sK61(sK81)))
| ~ r1(sK49(sK61(sK81)),X0)
| ~ p2(sK49(sK61(sK81)))
| ~ sP1(sK81)
| p2(X0) ),
inference(instantiation,[status(thm)],[c_10095]) ).
cnf(c_10328,plain,
( ~ r1(sK49(sK61(sK81)),sK50(sK61(sK81)))
| ~ r1(sK61(sK81),sK49(sK61(sK81)))
| ~ p2(sK49(sK61(sK81)))
| ~ sP1(sK81)
| p2(sK50(sK61(sK81))) ),
inference(instantiation,[status(thm)],[c_10319]) ).
cnf(c_10337,plain,
( ~ r1(sK60(sK81),sK61(sK81))
| ~ p2(sK50(sK61(sK81)))
| ~ sP4(sK60(sK81))
| p2(sK61(sK81)) ),
inference(instantiation,[status(thm)],[c_10272]) ).
cnf(c_10369,plain,
( ~ r1(sK61(sK81),sK52(sK61(sK81)))
| ~ r1(sK52(sK61(sK81)),X0)
| ~ p2(sK52(sK61(sK81)))
| ~ sP1(sK81)
| p2(X0) ),
inference(instantiation,[status(thm)],[c_10095]) ).
cnf(c_10377,plain,
( ~ p2(sK60(sK81))
| ~ sP1(sK81)
| sP4(sK60(sK81))
| sP3(sK60(sK81))
| sP5(sK64) ),
inference(superposition,[status(thm)],[c_176,c_236]) ).
cnf(c_10393,plain,
( ~ r1(sK52(sK61(sK81)),sK53(sK61(sK81)))
| ~ r1(sK61(sK81),sK52(sK61(sK81)))
| ~ p2(sK52(sK61(sK81)))
| ~ sP1(sK81)
| p2(sK53(sK61(sK81))) ),
inference(instantiation,[status(thm)],[c_10369]) ).
cnf(c_10405,plain,
( ~ r1(sK60(sK81),sK61(sK81))
| ~ p2(sK53(sK61(sK81)))
| ~ sP3(sK60(sK81))
| p2(sK61(sK81)) ),
inference(instantiation,[status(thm)],[c_10191]) ).
cnf(c_10553,plain,
( ~ r1(sK85(sK81),X0)
| ~ r1(sK81,sK85(sK81))
| ~ p2(sK85(sK81))
| ~ sP0_iProver_split
| p2(X0) ),
inference(instantiation,[status(thm)],[c_9428]) ).
cnf(c_10563,plain,
( ~ r1(sK85(sK81),sK86(sK81))
| ~ r1(sK81,sK85(sK81))
| ~ p2(sK85(sK81))
| ~ sP0_iProver_split
| p2(sK86(sK81)) ),
inference(instantiation,[status(thm)],[c_10553]) ).
cnf(c_10643,plain,
( ~ r1(sK64,sK81)
| r1(sK85(sK81),sK86(sK81))
| p2(sK81) ),
inference(instantiation,[status(thm)],[c_248]) ).
cnf(c_10644,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10643,c_10563,c_10405,c_10393,c_10377,c_10337,c_10328,c_10296,c_10293,c_10285,c_10266,c_10257,c_10255,c_10244,c_10200,c_10173,c_10160,c_10073,c_9714,c_9715,c_9716,c_9689,c_9667,c_9640,c_9641,c_9642,c_9643,c_9556,c_9557,c_9558,c_9471,c_9472,c_9454,c_9452,c_9450,c_9448,c_9429,c_3291,c_3262,c_3233,c_326,c_325,c_238,c_239,c_250,c_251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL642+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 17:55:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.48/1.17 % SZS status Started for theBenchmark.p
% 0.48/1.17 % SZS status Theorem for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.17
% 0.48/1.17 ------ iProver source info
% 0.48/1.17
% 0.48/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.17 git: non_committed_changes: false
% 0.48/1.17 git: last_make_outside_of_git: false
% 0.48/1.17
% 0.48/1.17 ------ Parsing...
% 0.48/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing... sf_s rm: 147 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing... gs_s sp: 1 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.17 ------ Proving...
% 0.48/1.17 ------ Problem Properties
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 clauses 63
% 0.48/1.17 conjectures 25
% 0.48/1.17 EPR 12
% 0.48/1.17 Horn 27
% 0.48/1.17 unary 6
% 0.48/1.17 binary 7
% 0.48/1.17 lits 223
% 0.48/1.17 lits eq 0
% 0.48/1.17 fd_pure 0
% 0.48/1.17 fd_pseudo 0
% 0.48/1.17 fd_cond 0
% 0.48/1.17 fd_pseudo_cond 0
% 0.48/1.17 AC symbols 0
% 0.48/1.17
% 0.48/1.17 ------ Input Options Time Limit: Unbounded
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 ------
% 0.48/1.17 Current options:
% 0.48/1.17 ------
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 ------ Proving...
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 % SZS status Theorem for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.17
% 0.48/1.18
%------------------------------------------------------------------------------