TSTP Solution File: LCL676+1.010 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL676+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 : Fri May 3 02:39:17 EDT 2024
% Result : Theorem 32.14s 5.20s
% Output : CNFRefutation 32.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 60
% Syntax : Number of formulae : 172 ( 5 unt; 0 def)
% Number of atoms : 4600 ( 0 equ)
% Maximal formula atoms : 426 ( 26 avg)
% Number of connectives : 6811 (2383 ~;3245 |;1149 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 19 con; 0-1 aty)
% Number of variables : 1694 ( 0 sgn1240 !; 376 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X1,X2)
& r1(X0,X1) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f3,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] :
( ~ p5(X0)
| ~ r1(X1,X0) )
| ~ 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) )
| ( ( ~ ! [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] :
( ~ ! [X1] :
( ~ p5(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f4,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] :
( ~ p5(X0)
| ~ r1(X1,X0) )
| ~ 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) )
| ( ( ~ ! [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] :
( ~ ! [X1] :
( ~ p5(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[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] :
( $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] :
( ~ p5(X140)
| ~ r1(X139,X140) )
| ~ r1(X0,X139) ) )
| ~ ! [X141] :
( ~ ! [X142] :
( ~ p3(X142)
| ! [X143] :
( p3(X143)
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
| ! [X144] :
( p3(X144)
| ~ r1(X0,X144) )
| ( ( ~ ! [X145] :
( ~ ! [X146] :
( ~ p2(X146)
| ! [X147] :
( p2(X147)
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
| ! [X148] :
( p2(X148)
| ~ r1(X0,X148) ) )
& ! [X149] :
( ! [X150] :
( ~ ! [X151] :
( ~ p5(X151)
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| p1(X149)
| ~ r1(X0,X149) ) ) ),
inference(rectify,[],[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] :
( ~ p5(X140)
| ~ r1(X139,X140) )
| ~ r1(X0,X139) ) )
| ~ ! [X141] :
( ~ ! [X142] :
( ~ p3(X142)
| ! [X143] :
( p3(X143)
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
| ! [X144] :
( p3(X144)
| ~ r1(X0,X144) )
| ( ( ~ ! [X145] :
( ~ ! [X146] :
( ~ p2(X146)
| ! [X147] :
( p2(X147)
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
| ! [X148] :
( p2(X148)
| ~ r1(X0,X148) ) )
& ! [X149] :
( ! [X150] :
( ~ ! [X151] :
( ~ p5(X151)
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| p1(X149)
| ~ r1(X0,X149) ) ) ),
inference(true_and_false_elimination,[],[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] :
( ~ p5(X140)
| ~ r1(X139,X140) )
| ~ r1(X0,X139) ) )
| ~ ! [X141] :
( ~ ! [X142] :
( ~ p3(X142)
| ! [X143] :
( p3(X143)
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
| ! [X144] :
( p3(X144)
| ~ r1(X0,X144) )
| ( ( ~ ! [X145] :
( ~ ! [X146] :
( ~ p2(X146)
| ! [X147] :
( p2(X147)
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
| ! [X148] :
( p2(X148)
| ~ r1(X0,X148) ) )
& ! [X149] :
( ! [X150] :
( ~ ! [X151] :
( ~ p5(X151)
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| p1(X149)
| ~ r1(X0,X149) ) ) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(flattening,[],[f8]) ).
fof(f10,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] :
( p5(X140)
& r1(X139,X140) )
| ~ r1(X0,X139) ) )
& ! [X141] :
( ? [X142] :
( p3(X142)
& ? [X143] :
( ~ p3(X143)
& r1(X142,X143) )
& r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
& ? [X144] :
( ~ p3(X144)
& r1(X0,X144) )
& ( ( ! [X145] :
( ? [X146] :
( p2(X146)
& ? [X147] :
( ~ p2(X147)
& r1(X146,X147) )
& r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
& ? [X148] :
( ~ p2(X148)
& r1(X0,X148) ) )
| ? [X149] :
( ? [X150] :
( ! [X151] :
( ~ p5(X151)
| ~ r1(X150,X151) )
& r1(X149,X150) )
& ~ p1(X149)
& r1(X0,X149) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f11,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] :
( p5(X140)
& r1(X139,X140) )
| ~ r1(X0,X139) ) )
& ! [X141] :
( ? [X142] :
( p3(X142)
& ? [X143] :
( ~ p3(X143)
& r1(X142,X143) )
& r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
& ? [X144] :
( ~ p3(X144)
& r1(X0,X144) )
& ( ( ! [X145] :
( ? [X146] :
( p2(X146)
& ? [X147] :
( ~ p2(X147)
& r1(X146,X147) )
& r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
& ? [X148] :
( ~ p2(X148)
& r1(X0,X148) ) )
| ? [X149] :
( ? [X150] :
( ! [X151] :
( ~ p5(X151)
| ~ r1(X150,X151) )
& r1(X149,X150) )
& ~ p1(X149)
& r1(X0,X149) ) ) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0] :
( ( ! [X145] :
( ? [X146] :
( p2(X146)
& ? [X147] :
( ~ p2(X147)
& r1(X146,X147) )
& r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
& ? [X148] :
( ~ p2(X148)
& r1(X0,X148) ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f13,plain,
! [X0] :
( ( ! [X135] :
( ? [X136] :
( p2(X136)
& ? [X137] :
( ~ p2(X137)
& r1(X136,X137) )
& r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
& ? [X138] :
( ~ p2(X138)
& r1(X0,X138) ) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f14,plain,
! [X0] :
( ! [X127] :
( ! [X128] :
( ? [X129] :
( p2(X129)
& ? [X130] :
( ~ p2(X130)
& r1(X129,X130) )
& r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f15,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) ) )
| ~ sP3(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f16,plain,
! [X103] :
( ! [X109] :
( ! [X110] :
( ? [X111] :
( p2(X111)
& ? [X112] :
( ~ p2(X112)
& r1(X111,X112) )
& r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) )
| ~ sP4(X103) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f17,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) ) )
| ~ sP5(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f18,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) )
| sP4(X103) ) )
| ~ r1(X93,X103) )
| ~ sP6(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f19,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) )
| sP2(X0) ) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f20,plain,
! [X86] :
( ? [X87] :
( ? [X88] : r1(X87,X88)
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
| ~ sP8(X86) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f21,plain,
! [X79] :
( ? [X80] :
( ? [X81] : r1(X80,X81)
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
| ~ sP9(X79) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f22,plain,
! [X77] :
( ! [X78] :
( ( ? [X79] :
( sP9(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) )
| ~ sP10(X77) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f23,plain,
! [X77] :
( ? [X86] :
( sP8(X86)
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
| ~ sP11(X77) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f24,plain,
! [X67] :
( ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
| ~ sP12(X67) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f25,plain,
! [X66] :
( ? [X73] :
( ? [X74] : r1(X73,X74)
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
| ~ sP13(X66) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f26,plain,
! [X66] :
( ! [X67] :
( ( sP12(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) )
| ~ sP14(X66) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f27,plain,
! [X56] :
( ? [X57] :
( ? [X58] : r1(X57,X58)
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
| ~ sP15(X56) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f28,plain,
! [X55] :
( ? [X62] :
( ? [X63] : r1(X62,X63)
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
| ~ sP16(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f29,plain,
! [X55] :
( ! [X56] :
( ( sP15(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) )
| ~ sP17(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f30,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) )
| ~ sP18(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f31,plain,
! [X44] :
( ? [X51] :
( ? [X52] : r1(X51,X52)
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
| ~ sP19(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f32,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) )
| ~ sP20(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f33,plain,
! [X33] :
( ? [X40] :
( ? [X41] : r1(X40,X41)
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
| ~ sP21(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f34,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) )
| ~ sP22(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f35,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) )
| ~ sP23(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f36,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] :
( sP23(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] :
( sP22(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] :
( sP20(X33)
& sP21(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] :
( sP18(X44)
& sP19(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] :
( sP17(X55)
& sP16(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] :
( sP14(X66)
& sP13(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] :
( sP10(X77)
& sP11(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) )
| sP5(X93)
| sP6(X93)
| ~ r1(X92,X93) )
& ( ( ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
& ~ p2(X92) )
| sP3(X92) )
& r1(X0,X92) )
| sP7(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) )
& ( sP1(X0)
| ! [X139] :
( ? [X140] :
( p5(X140)
& r1(X139,X140) )
| ~ r1(X0,X139) ) )
& ! [X141] :
( ? [X142] :
( p3(X142)
& ? [X143] :
( ~ p3(X143)
& r1(X142,X143) )
& r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
& ? [X144] :
( ~ p3(X144)
& r1(X0,X144) )
& ( sP0(X0)
| ? [X149] :
( ? [X150] :
( ! [X151] :
( ~ p5(X151)
| ~ r1(X150,X151) )
& r1(X149,X150) )
& ~ p1(X149)
& r1(X0,X149) ) ) ),
inference(definition_folding,[],[f11,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12]) ).
fof(f143,plain,
! [X0] :
( ( ! [X135] :
( ? [X136] :
( p2(X136)
& ? [X137] :
( ~ p2(X137)
& r1(X136,X137) )
& r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
& ? [X138] :
( ~ p2(X138)
& r1(X0,X138) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f144,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ~ p2(X4)
& r1(X0,X4) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f143]) ).
fof(f145,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK66(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK66(X1),X3) )
& r1(X1,sK66(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK66(X1),X3) )
=> ( ~ p2(sK67(X1))
& r1(sK66(X1),sK67(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X0] :
( ? [X4] :
( ~ p2(X4)
& r1(X0,X4) )
=> ( ~ p2(sK68(X0))
& r1(X0,sK68(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK66(X1))
& ~ p2(sK67(X1))
& r1(sK66(X1),sK67(X1))
& r1(X1,sK66(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ~ p2(sK68(X0))
& r1(X0,sK68(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66,sK67,sK68])],[f144,f147,f146,f145]) ).
fof(f149,plain,
! [X0] :
( ( ! [X145] :
( ? [X146] :
( p2(X146)
& ? [X147] :
( ~ p2(X147)
& r1(X146,X147) )
& r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
& ? [X148] :
( ~ p2(X148)
& r1(X0,X148) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f150,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ~ p2(X4)
& r1(X0,X4) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f149]) ).
fof(f151,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK69(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK69(X1),X3) )
& r1(X1,sK69(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK69(X1),X3) )
=> ( ~ p2(sK70(X1))
& r1(sK69(X1),sK70(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0] :
( ? [X4] :
( ~ p2(X4)
& r1(X0,X4) )
=> ( ~ p2(sK71(X0))
& r1(X0,sK71(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK69(X1))
& ~ p2(sK70(X1))
& r1(sK69(X1),sK70(X1))
& r1(X1,sK69(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ~ p2(sK71(X0))
& r1(X0,sK71(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69,sK70,sK71])],[f150,f153,f152,f151]) ).
fof(f155,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] :
( sP23(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] :
( sP22(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] :
( sP20(X25)
& sP21(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] :
( sP18(X28)
& sP19(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] :
( sP17(X31)
& sP16(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] :
( sP14(X34)
& sP13(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] :
( sP10(X37)
& sP11(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) )
| sP5(X42)
| sP6(X42)
| ~ r1(X41,X42) )
& ( ( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X41,X45) )
& ~ p2(X41) )
| sP3(X41) )
& r1(X0,X41) )
| sP7(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) )
& ( sP1(X0)
| ! [X51] :
( ? [X52] :
( p5(X52)
& r1(X51,X52) )
| ~ r1(X0,X51) ) )
& ! [X53] :
( ? [X54] :
( p3(X54)
& ? [X55] :
( ~ p3(X55)
& r1(X54,X55) )
& r1(X53,X54) )
| p3(X53)
| ~ r1(X0,X53) )
& ? [X56] :
( ~ p3(X56)
& r1(X0,X56) )
& ( sP0(X0)
| ? [X57] :
( ? [X58] :
( ! [X59] :
( ~ p5(X59)
| ~ r1(X58,X59) )
& r1(X57,X58) )
& ~ p1(X57)
& r1(X0,X57) ) ) ),
inference(rectify,[],[f36]) ).
fof(f156,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] :
( sP23(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] :
( sP22(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] :
( sP20(X25)
& sP21(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] :
( sP18(X28)
& sP19(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] :
( sP17(X31)
& sP16(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] :
( sP14(X34)
& sP13(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] :
( sP10(X37)
& sP11(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) )
| sP5(X42)
| sP6(X42)
| ~ r1(X41,X42) )
& ( ( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X41,X45) )
& ~ p2(X41) )
| sP3(X41) )
& r1(X0,X41) )
| sP7(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) )
& ( sP1(X0)
| ! [X51] :
( ? [X52] :
( p5(X52)
& r1(X51,X52) )
| ~ r1(X0,X51) ) )
& ! [X53] :
( ? [X54] :
( p3(X54)
& ? [X55] :
( ~ p3(X55)
& r1(X54,X55) )
& r1(X53,X54) )
| p3(X53)
| ~ r1(X0,X53) )
& ? [X56] :
( ~ p3(X56)
& r1(X0,X56) )
& ( sP0(X0)
| ? [X57] :
( ? [X58] :
( ! [X59] :
( ~ p5(X59)
| ~ r1(X58,X59) )
& r1(X57,X58) )
& ~ p1(X57)
& r1(X0,X57) ) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK72,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(sK72,X5) )
| ! [X11] : ~ r1(sK72,X11)
| p1(sK72) )
& ( ? [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(sK72,X12) )
| ! [X18] : ~ r1(sK72,X18)
| p1(sK72)
| p2(sK72) )
& ( ? [X19] :
( sP23(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(sK72,X19) )
| ! [X21] : ~ r1(sK72,X21)
| p1(sK72)
| p2(sK72)
| p3(sK72) )
& ( ? [X22] :
( sP22(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(sK72,X22) )
| ! [X24] : ~ r1(sK72,X24)
| p1(sK72)
| p2(sK72)
| p3(sK72)
| p4(sK72) )
& ( ? [X25] :
( sP20(X25)
& sP21(X25)
& ~ p1(X25)
& r1(sK72,X25) )
| ! [X26] :
( ! [X27] : ~ r1(X26,X27)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(sK72,X26) )
| p1(sK72) )
& ( ? [X28] :
( sP18(X28)
& sP19(X28)
& ~ p1(X28)
& ~ p2(X28)
& r1(sK72,X28) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(sK72,X29) )
| p1(sK72)
| p2(sK72) )
& ( ? [X31] :
( sP17(X31)
& sP16(X31)
& ~ p1(X31)
& ~ p2(X31)
& ~ p3(X31)
& r1(sK72,X31) )
| ! [X32] :
( ! [X33] : ~ r1(X32,X33)
| p1(X32)
| p2(X32)
| p3(X32)
| p4(X32)
| ~ r1(sK72,X32) )
| p1(sK72)
| p2(sK72)
| p3(sK72) )
& ( ? [X34] :
( sP14(X34)
& sP13(X34)
& ~ p1(X34)
& ~ p2(X34)
& ~ p3(X34)
& ~ p4(X34)
& r1(sK72,X34) )
| ! [X35] :
( ! [X36] : ~ r1(X35,X36)
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(sK72,X35) )
| p1(sK72)
| p2(sK72)
| p3(sK72)
| p4(sK72) )
& ( ? [X37] :
( sP10(X37)
& sP11(X37)
& ~ p1(X37)
& r1(sK72,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(sK72,X38) )
| p1(sK72) )
& ( ? [X41] :
( ! [X42] :
( ( ! [X43] :
( ~ p2(X43)
| ! [X44] :
( p2(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p2(X42) )
| sP5(X42)
| sP6(X42)
| ~ r1(X41,X42) )
& ( ( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X41,X45) )
& ~ p2(X41) )
| sP3(X41) )
& r1(sK72,X41) )
| sP7(sK72) )
& ! [X47] :
( ? [X48] :
( p1(X48)
& ? [X49] :
( ~ p1(X49)
& r1(X48,X49) )
& r1(X47,X48) )
| p1(X47)
| ~ r1(sK72,X47) )
& ? [X50] :
( ~ p1(X50)
& r1(sK72,X50) )
& ( sP1(sK72)
| ! [X51] :
( ? [X52] :
( p5(X52)
& r1(X51,X52) )
| ~ r1(sK72,X51) ) )
& ! [X53] :
( ? [X54] :
( p3(X54)
& ? [X55] :
( ~ p3(X55)
& r1(X54,X55) )
& r1(X53,X54) )
| p3(X53)
| ~ r1(sK72,X53) )
& ? [X56] :
( ~ p3(X56)
& r1(sK72,X56) )
& ( sP0(sK72)
| ? [X57] :
( ? [X58] :
( ! [X59] :
( ~ p5(X59)
| ~ r1(X58,X59) )
& r1(X57,X58) )
& ~ p1(X57)
& r1(sK72,X57) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f157,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(sK73(X1),X3) )
& ~ p2(sK73(X1))
& r1(X1,sK73(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f158,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(sK72,X5) )
=> ( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(sK74,X6) )
& ? [X10] : r1(sK74,X10)
& ~ p1(sK74)
& r1(sK72,sK74) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X6] :
( ? [X7] : r1(X6,X7)
=> r1(X6,sK75(X6)) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
( ? [X10] : r1(sK74,X10)
=> r1(sK74,sK76) ),
introduced(choice_axiom,[]) ).
fof(f161,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(sK72,X12) )
=> ( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(sK77,X13) )
& ? [X17] : r1(sK77,X17)
& ~ p1(sK77)
& ~ p2(sK77)
& r1(sK72,sK77) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
! [X13] :
( ? [X14] : r1(X13,X14)
=> r1(X13,sK78(X13)) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
( ? [X17] : r1(sK77,X17)
=> r1(sK77,sK79) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( ? [X19] :
( sP23(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(sK72,X19) )
=> ( sP23(sK80)
& ? [X20] : r1(sK80,X20)
& ~ p1(sK80)
& ~ p2(sK80)
& ~ p3(sK80)
& r1(sK72,sK80) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
( ? [X20] : r1(sK80,X20)
=> r1(sK80,sK81) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
( ? [X22] :
( sP22(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(sK72,X22) )
=> ( sP22(sK82)
& ? [X23] : r1(sK82,X23)
& ~ p1(sK82)
& ~ p2(sK82)
& ~ p3(sK82)
& ~ p4(sK82)
& r1(sK72,sK82) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
( ? [X23] : r1(sK82,X23)
=> r1(sK82,sK83) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
( ? [X25] :
( sP20(X25)
& sP21(X25)
& ~ p1(X25)
& r1(sK72,X25) )
=> ( sP20(sK84)
& sP21(sK84)
& ~ p1(sK84)
& r1(sK72,sK84) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
( ? [X28] :
( sP18(X28)
& sP19(X28)
& ~ p1(X28)
& ~ p2(X28)
& r1(sK72,X28) )
=> ( sP18(sK85)
& sP19(sK85)
& ~ p1(sK85)
& ~ p2(sK85)
& r1(sK72,sK85) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
( ? [X31] :
( sP17(X31)
& sP16(X31)
& ~ p1(X31)
& ~ p2(X31)
& ~ p3(X31)
& r1(sK72,X31) )
=> ( sP17(sK86)
& sP16(sK86)
& ~ p1(sK86)
& ~ p2(sK86)
& ~ p3(sK86)
& r1(sK72,sK86) ) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
( ? [X34] :
( sP14(X34)
& sP13(X34)
& ~ p1(X34)
& ~ p2(X34)
& ~ p3(X34)
& ~ p4(X34)
& r1(sK72,X34) )
=> ( sP14(sK87)
& sP13(sK87)
& ~ p1(sK87)
& ~ p2(sK87)
& ~ p3(sK87)
& ~ p4(sK87)
& r1(sK72,sK87) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X37] :
( sP10(X37)
& sP11(X37)
& ~ p1(X37)
& r1(sK72,X37) )
=> ( sP10(sK88)
& sP11(sK88)
& ~ p1(sK88)
& r1(sK72,sK88) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ? [X41] :
( ! [X42] :
( ( ! [X43] :
( ~ p2(X43)
| ! [X44] :
( p2(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p2(X42) )
| sP5(X42)
| sP6(X42)
| ~ r1(X41,X42) )
& ( ( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X41,X45) )
& ~ p2(X41) )
| sP3(X41) )
& r1(sK72,X41) )
=> ( ! [X42] :
( ( ! [X43] :
( ~ p2(X43)
| ! [X44] :
( p2(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p2(X42) )
| sP5(X42)
| sP6(X42)
| ~ r1(sK89,X42) )
& ( ( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(sK89,X45) )
& ~ p2(sK89) )
| sP3(sK89) )
& r1(sK72,sK89) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X47] :
( ? [X48] :
( p1(X48)
& ? [X49] :
( ~ p1(X49)
& r1(X48,X49) )
& r1(X47,X48) )
=> ( p1(sK90(X47))
& ? [X49] :
( ~ p1(X49)
& r1(sK90(X47),X49) )
& r1(X47,sK90(X47)) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
! [X47] :
( ? [X49] :
( ~ p1(X49)
& r1(sK90(X47),X49) )
=> ( ~ p1(sK91(X47))
& r1(sK90(X47),sK91(X47)) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
( ? [X50] :
( ~ p1(X50)
& r1(sK72,X50) )
=> ( ~ p1(sK92)
& r1(sK72,sK92) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
! [X51] :
( ? [X52] :
( p5(X52)
& r1(X51,X52) )
=> ( p5(sK93(X51))
& r1(X51,sK93(X51)) ) ),
introduced(choice_axiom,[]) ).
fof(f178,plain,
! [X53] :
( ? [X54] :
( p3(X54)
& ? [X55] :
( ~ p3(X55)
& r1(X54,X55) )
& r1(X53,X54) )
=> ( p3(sK94(X53))
& ? [X55] :
( ~ p3(X55)
& r1(sK94(X53),X55) )
& r1(X53,sK94(X53)) ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
! [X53] :
( ? [X55] :
( ~ p3(X55)
& r1(sK94(X53),X55) )
=> ( ~ p3(sK95(X53))
& r1(sK94(X53),sK95(X53)) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
( ? [X56] :
( ~ p3(X56)
& r1(sK72,X56) )
=> ( ~ p3(sK96)
& r1(sK72,sK96) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
( ? [X57] :
( ? [X58] :
( ! [X59] :
( ~ p5(X59)
| ~ r1(X58,X59) )
& r1(X57,X58) )
& ~ p1(X57)
& r1(sK72,X57) )
=> ( ? [X58] :
( ! [X59] :
( ~ p5(X59)
| ~ r1(X58,X59) )
& r1(sK97,X58) )
& ~ p1(sK97)
& r1(sK72,sK97) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
( ? [X58] :
( ! [X59] :
( ~ p5(X59)
| ~ r1(X58,X59) )
& r1(sK97,X58) )
=> ( ! [X59] :
( ~ p5(X59)
| ~ r1(sK98,X59) )
& r1(sK97,sK98) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK73(X1),X3) )
& ~ p2(sK73(X1))
& r1(X1,sK73(X1)) )
| p2(X1)
| ~ r1(sK72,X1) )
& ( ( ! [X6] :
( ( r1(X6,sK75(X6))
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(sK74,X6) )
& r1(sK74,sK76)
& ~ p1(sK74)
& r1(sK72,sK74) )
| ! [X11] : ~ r1(sK72,X11)
| p1(sK72) )
& ( ( ! [X13] :
( ( r1(X13,sK78(X13))
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(sK77,X13) )
& r1(sK77,sK79)
& ~ p1(sK77)
& ~ p2(sK77)
& r1(sK72,sK77) )
| ! [X18] : ~ r1(sK72,X18)
| p1(sK72)
| p2(sK72) )
& ( ( sP23(sK80)
& r1(sK80,sK81)
& ~ p1(sK80)
& ~ p2(sK80)
& ~ p3(sK80)
& r1(sK72,sK80) )
| ! [X21] : ~ r1(sK72,X21)
| p1(sK72)
| p2(sK72)
| p3(sK72) )
& ( ( sP22(sK82)
& r1(sK82,sK83)
& ~ p1(sK82)
& ~ p2(sK82)
& ~ p3(sK82)
& ~ p4(sK82)
& r1(sK72,sK82) )
| ! [X24] : ~ r1(sK72,X24)
| p1(sK72)
| p2(sK72)
| p3(sK72)
| p4(sK72) )
& ( ( sP20(sK84)
& sP21(sK84)
& ~ p1(sK84)
& r1(sK72,sK84) )
| ! [X26] :
( ! [X27] : ~ r1(X26,X27)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(sK72,X26) )
| p1(sK72) )
& ( ( sP18(sK85)
& sP19(sK85)
& ~ p1(sK85)
& ~ p2(sK85)
& r1(sK72,sK85) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(sK72,X29) )
| p1(sK72)
| p2(sK72) )
& ( ( sP17(sK86)
& sP16(sK86)
& ~ p1(sK86)
& ~ p2(sK86)
& ~ p3(sK86)
& r1(sK72,sK86) )
| ! [X32] :
( ! [X33] : ~ r1(X32,X33)
| p1(X32)
| p2(X32)
| p3(X32)
| p4(X32)
| ~ r1(sK72,X32) )
| p1(sK72)
| p2(sK72)
| p3(sK72) )
& ( ( sP14(sK87)
& sP13(sK87)
& ~ p1(sK87)
& ~ p2(sK87)
& ~ p3(sK87)
& ~ p4(sK87)
& r1(sK72,sK87) )
| ! [X35] :
( ! [X36] : ~ r1(X35,X36)
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(sK72,X35) )
| p1(sK72)
| p2(sK72)
| p3(sK72)
| p4(sK72) )
& ( ( sP10(sK88)
& sP11(sK88)
& ~ p1(sK88)
& r1(sK72,sK88) )
| ! [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(sK72,X38) )
| p1(sK72) )
& ( ( ! [X42] :
( ( ! [X43] :
( ~ p2(X43)
| ! [X44] :
( p2(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p2(X42) )
| sP5(X42)
| sP6(X42)
| ~ r1(sK89,X42) )
& ( ( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(sK89,X45) )
& ~ p2(sK89) )
| sP3(sK89) )
& r1(sK72,sK89) )
| sP7(sK72) )
& ! [X47] :
( ( p1(sK90(X47))
& ~ p1(sK91(X47))
& r1(sK90(X47),sK91(X47))
& r1(X47,sK90(X47)) )
| p1(X47)
| ~ r1(sK72,X47) )
& ~ p1(sK92)
& r1(sK72,sK92)
& ( sP1(sK72)
| ! [X51] :
( ( p5(sK93(X51))
& r1(X51,sK93(X51)) )
| ~ r1(sK72,X51) ) )
& ! [X53] :
( ( p3(sK94(X53))
& ~ p3(sK95(X53))
& r1(sK94(X53),sK95(X53))
& r1(X53,sK94(X53)) )
| p3(X53)
| ~ r1(sK72,X53) )
& ~ p3(sK96)
& r1(sK72,sK96)
& ( sP0(sK72)
| ( ! [X59] :
( ~ p5(X59)
| ~ r1(sK98,X59) )
& r1(sK97,sK98)
& ~ p1(sK97)
& r1(sK72,sK97) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK72,sK73,sK74,sK75,sK76,sK77,sK78,sK79,sK80,sK81,sK82,sK83,sK84,sK85,sK86,sK87,sK88,sK89,sK90,sK91,sK92,sK93,sK94,sK95,sK96,sK97,sK98])],[f155,f182,f181,f180,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156]) ).
fof(f184,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f185,plain,
! [X2,X0,X1] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f318,plain,
! [X0] :
( r1(X0,sK68(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f319,plain,
! [X0] :
( ~ p2(sK68(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f320,plain,
! [X0,X1] :
( r1(X1,sK66(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f321,plain,
! [X0,X1] :
( r1(sK66(X1),sK67(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f322,plain,
! [X0,X1] :
( ~ p2(sK67(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f323,plain,
! [X0,X1] :
( p2(sK66(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f324,plain,
! [X0] :
( r1(X0,sK71(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f325,plain,
! [X0] :
( ~ p2(sK71(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f326,plain,
! [X0,X1] :
( r1(X1,sK69(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f327,plain,
! [X0,X1] :
( r1(sK69(X1),sK70(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f328,plain,
! [X0,X1] :
( ~ p2(sK70(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f329,plain,
! [X0,X1] :
( p2(sK69(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f330,plain,
( sP0(sK72)
| r1(sK72,sK97) ),
inference(cnf_transformation,[],[f183]) ).
fof(f332,plain,
( sP0(sK72)
| r1(sK97,sK98) ),
inference(cnf_transformation,[],[f183]) ).
fof(f333,plain,
! [X59] :
( sP0(sK72)
| ~ p5(X59)
| ~ r1(sK98,X59) ),
inference(cnf_transformation,[],[f183]) ).
fof(f340,plain,
! [X51] :
( sP1(sK72)
| r1(X51,sK93(X51))
| ~ r1(sK72,X51) ),
inference(cnf_transformation,[],[f183]) ).
fof(f341,plain,
! [X51] :
( sP1(sK72)
| p5(sK93(X51))
| ~ r1(sK72,X51) ),
inference(cnf_transformation,[],[f183]) ).
fof(f404,plain,
! [X1] :
( r1(X1,sK73(X1))
| p2(X1)
| ~ r1(sK72,X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f405,plain,
! [X1] :
( ~ p2(sK73(X1))
| p2(X1)
| ~ r1(sK72,X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f406,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK73(X1),X3)
| p2(X1)
| ~ r1(sK72,X1) ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_49,plain,
r1(X0,X0),
inference(cnf_transformation,[],[f184]) ).
cnf(c_50,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_183,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| p2(sK66(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f323]) ).
cnf(c_184,plain,
( ~ r1(X0,X1)
| ~ p2(sK67(X1))
| ~ sP1(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f322]) ).
cnf(c_185,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| r1(sK66(X1),sK67(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f321]) ).
cnf(c_186,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| r1(X1,sK66(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f320]) ).
cnf(c_187,plain,
( ~ p2(sK68(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f319]) ).
cnf(c_188,plain,
( ~ sP1(X0)
| r1(X0,sK68(X0)) ),
inference(cnf_transformation,[],[f318]) ).
cnf(c_189,plain,
( ~ r1(X0,X1)
| ~ sP0(X0)
| p2(sK69(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f329]) ).
cnf(c_190,plain,
( ~ r1(X0,X1)
| ~ p2(sK70(X1))
| ~ sP0(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f328]) ).
cnf(c_191,plain,
( ~ r1(X0,X1)
| ~ sP0(X0)
| r1(sK69(X1),sK70(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f327]) ).
cnf(c_192,plain,
( ~ r1(X0,X1)
| ~ sP0(X0)
| r1(X1,sK69(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f326]) ).
cnf(c_193,plain,
( ~ p2(sK71(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f325]) ).
cnf(c_194,plain,
( ~ sP0(X0)
| r1(X0,sK71(X0)) ),
inference(cnf_transformation,[],[f324]) ).
cnf(c_195,negated_conjecture,
( ~ r1(sK73(X0),X1)
| ~ r1(X1,X2)
| ~ r1(sK72,X0)
| ~ p2(X1)
| p2(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f406]) ).
cnf(c_196,negated_conjecture,
( ~ r1(sK72,X0)
| ~ p2(sK73(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_197,negated_conjecture,
( ~ r1(sK72,X0)
| r1(X0,sK73(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_260,negated_conjecture,
( ~ r1(sK72,X0)
| p5(sK93(X0))
| sP1(sK72) ),
inference(cnf_transformation,[],[f341]) ).
cnf(c_261,negated_conjecture,
( ~ r1(sK72,X0)
| r1(X0,sK93(X0))
| sP1(sK72) ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_268,negated_conjecture,
( ~ r1(sK98,X0)
| ~ p5(X0)
| sP0(sK72) ),
inference(cnf_transformation,[],[f333]) ).
cnf(c_269,negated_conjecture,
( r1(sK97,sK98)
| sP0(sK72) ),
inference(cnf_transformation,[],[f332]) ).
cnf(c_271,negated_conjecture,
( r1(sK72,sK97)
| sP0(sK72) ),
inference(cnf_transformation,[],[f330]) ).
cnf(c_274,plain,
( ~ sP0(sK72)
| r1(sK72,sK71(sK72)) ),
inference(instantiation,[status(thm)],[c_194]) ).
cnf(c_275,plain,
( ~ p2(sK71(sK72))
| ~ sP0(sK72) ),
inference(instantiation,[status(thm)],[c_193]) ).
cnf(c_276,plain,
( ~ sP1(sK72)
| r1(sK72,sK68(sK72)) ),
inference(instantiation,[status(thm)],[c_188]) ).
cnf(c_277,plain,
( ~ p2(sK68(sK72))
| ~ sP1(sK72) ),
inference(instantiation,[status(thm)],[c_187]) ).
cnf(c_3092,plain,
( ~ r1(sK72,sK68(X0))
| r1(sK68(X0),sK73(sK68(X0)))
| p2(sK68(X0)) ),
inference(instantiation,[status(thm)],[c_197]) ).
cnf(c_3093,plain,
( ~ r1(sK72,sK68(X0))
| ~ p2(sK73(sK68(X0)))
| p2(sK68(X0)) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_3094,plain,
( ~ r1(sK72,sK68(sK72))
| ~ p2(sK73(sK68(sK72)))
| p2(sK68(sK72)) ),
inference(instantiation,[status(thm)],[c_3093]) ).
cnf(c_3095,plain,
( ~ r1(sK72,sK68(sK72))
| r1(sK68(sK72),sK73(sK68(sK72)))
| p2(sK68(sK72)) ),
inference(instantiation,[status(thm)],[c_3092]) ).
cnf(c_3289,plain,
( ~ r1(sK72,sK71(X0))
| r1(sK71(X0),sK73(sK71(X0)))
| p2(sK71(X0)) ),
inference(instantiation,[status(thm)],[c_197]) ).
cnf(c_3290,plain,
( ~ r1(sK72,sK71(X0))
| ~ p2(sK73(sK71(X0)))
| p2(sK71(X0)) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_3291,plain,
( ~ r1(sK72,sK71(sK72))
| ~ p2(sK73(sK71(sK72)))
| p2(sK71(sK72)) ),
inference(instantiation,[status(thm)],[c_3290]) ).
cnf(c_3292,plain,
( ~ r1(sK72,sK71(sK72))
| r1(sK71(sK72),sK73(sK71(sK72)))
| p2(sK71(sK72)) ),
inference(instantiation,[status(thm)],[c_3289]) ).
cnf(c_3413,plain,
( ~ r1(X0,sK73(sK68(X1)))
| ~ p2(sK67(sK73(sK68(X1))))
| ~ sP1(X0)
| p2(sK73(sK68(X1))) ),
inference(instantiation,[status(thm)],[c_184]) ).
cnf(c_3414,plain,
( ~ r1(X0,sK73(sK68(X1)))
| ~ sP1(X0)
| r1(sK66(sK73(sK68(X1))),sK67(sK73(sK68(X1))))
| p2(sK73(sK68(X1))) ),
inference(instantiation,[status(thm)],[c_185]) ).
cnf(c_3415,plain,
( ~ r1(X0,sK73(sK68(X1)))
| ~ sP1(X0)
| r1(sK73(sK68(X1)),sK66(sK73(sK68(X1))))
| p2(sK73(sK68(X1))) ),
inference(instantiation,[status(thm)],[c_186]) ).
cnf(c_3416,plain,
( ~ r1(X0,sK73(sK68(X1)))
| ~ sP1(X0)
| p2(sK66(sK73(sK68(X1))))
| p2(sK73(sK68(X1))) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_3417,plain,
( ~ r1(sK72,sK73(sK68(sK72)))
| ~ sP1(sK72)
| p2(sK66(sK73(sK68(sK72))))
| p2(sK73(sK68(sK72))) ),
inference(instantiation,[status(thm)],[c_3416]) ).
cnf(c_3418,plain,
( ~ r1(sK72,sK73(sK68(sK72)))
| ~ sP1(sK72)
| r1(sK73(sK68(sK72)),sK66(sK73(sK68(sK72))))
| p2(sK73(sK68(sK72))) ),
inference(instantiation,[status(thm)],[c_3415]) ).
cnf(c_3419,plain,
( ~ r1(sK72,sK73(sK68(sK72)))
| ~ sP1(sK72)
| r1(sK66(sK73(sK68(sK72))),sK67(sK73(sK68(sK72))))
| p2(sK73(sK68(sK72))) ),
inference(instantiation,[status(thm)],[c_3414]) ).
cnf(c_3420,plain,
( ~ r1(sK72,sK73(sK68(sK72)))
| ~ p2(sK67(sK73(sK68(sK72))))
| ~ sP1(sK72)
| p2(sK73(sK68(sK72))) ),
inference(instantiation,[status(thm)],[c_3413]) ).
cnf(c_3463,plain,
( ~ r1(X0,sK73(sK71(X1)))
| ~ sP0(X0)
| r1(sK73(sK71(X1)),sK69(sK73(sK71(X1))))
| p2(sK73(sK71(X1))) ),
inference(instantiation,[status(thm)],[c_192]) ).
cnf(c_3464,plain,
( ~ r1(X0,sK73(sK71(X1)))
| ~ sP0(X0)
| r1(sK69(sK73(sK71(X1))),sK70(sK73(sK71(X1))))
| p2(sK73(sK71(X1))) ),
inference(instantiation,[status(thm)],[c_191]) ).
cnf(c_3465,plain,
( ~ r1(X0,sK73(sK71(X1)))
| ~ p2(sK70(sK73(sK71(X1))))
| ~ sP0(X0)
| p2(sK73(sK71(X1))) ),
inference(instantiation,[status(thm)],[c_190]) ).
cnf(c_3466,plain,
( ~ r1(X0,sK73(sK71(X1)))
| ~ sP0(X0)
| p2(sK69(sK73(sK71(X1))))
| p2(sK73(sK71(X1))) ),
inference(instantiation,[status(thm)],[c_189]) ).
cnf(c_3475,plain,
( ~ r1(sK72,sK73(sK71(sK72)))
| ~ sP0(sK72)
| p2(sK69(sK73(sK71(sK72))))
| p2(sK73(sK71(sK72))) ),
inference(instantiation,[status(thm)],[c_3466]) ).
cnf(c_3476,plain,
( ~ r1(sK72,sK73(sK71(sK72)))
| ~ p2(sK70(sK73(sK71(sK72))))
| ~ sP0(sK72)
| p2(sK73(sK71(sK72))) ),
inference(instantiation,[status(thm)],[c_3465]) ).
cnf(c_3477,plain,
( ~ r1(sK72,sK73(sK71(sK72)))
| ~ sP0(sK72)
| r1(sK69(sK73(sK71(sK72))),sK70(sK73(sK71(sK72))))
| p2(sK73(sK71(sK72))) ),
inference(instantiation,[status(thm)],[c_3464]) ).
cnf(c_3478,plain,
( ~ r1(sK72,sK73(sK71(sK72)))
| ~ sP0(sK72)
| r1(sK73(sK71(sK72)),sK69(sK73(sK71(sK72))))
| p2(sK73(sK71(sK72))) ),
inference(instantiation,[status(thm)],[c_3463]) ).
cnf(c_3706,plain,
( ~ r1(X0,sK73(sK68(X1)))
| ~ r1(X2,X0)
| r1(X2,sK73(sK68(X1))) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_3736,plain,
( ~ r1(X0,sK73(sK71(X1)))
| ~ r1(X2,X0)
| r1(X2,sK73(sK71(X1))) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_4291,plain,
( ~ r1(sK68(X0),sK73(sK68(X0)))
| ~ r1(X1,sK68(X0))
| r1(X1,sK73(sK68(X0))) ),
inference(instantiation,[status(thm)],[c_3706]) ).
cnf(c_4292,plain,
( ~ r1(sK68(sK72),sK73(sK68(sK72)))
| ~ r1(sK72,sK68(sK72))
| r1(sK72,sK73(sK68(sK72))) ),
inference(instantiation,[status(thm)],[c_4291]) ).
cnf(c_4299,plain,
( ~ r1(sK71(X0),sK73(sK71(X0)))
| ~ r1(X1,sK71(X0))
| r1(X1,sK73(sK71(X0))) ),
inference(instantiation,[status(thm)],[c_3736]) ).
cnf(c_4300,plain,
( ~ r1(sK71(sK72),sK73(sK71(sK72)))
| ~ r1(sK72,sK71(sK72))
| r1(sK72,sK73(sK71(sK72))) ),
inference(instantiation,[status(thm)],[c_4299]) ).
cnf(c_5362,plain,
( ~ r1(X0,sK70(sK73(sK71(X1))))
| ~ r1(sK73(X2),X0)
| ~ r1(sK72,X2)
| ~ p2(X0)
| p2(sK70(sK73(sK71(X1))))
| p2(X2) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_6754,plain,
( ~ r1(sK69(sK73(sK71(X0))),sK70(sK73(sK71(X0))))
| ~ r1(sK73(X1),sK69(sK73(sK71(X0))))
| ~ p2(sK69(sK73(sK71(X0))))
| ~ r1(sK72,X1)
| p2(sK70(sK73(sK71(X0))))
| p2(X1) ),
inference(instantiation,[status(thm)],[c_5362]) ).
cnf(c_10956,plain,
( ~ r1(sK69(sK73(sK71(X0))),sK70(sK73(sK71(X0))))
| ~ r1(sK73(sK71(X0)),sK69(sK73(sK71(X0))))
| ~ p2(sK69(sK73(sK71(X0))))
| ~ r1(sK72,sK71(X0))
| p2(sK70(sK73(sK71(X0))))
| p2(sK71(X0)) ),
inference(instantiation,[status(thm)],[c_6754]) ).
cnf(c_10957,plain,
( ~ r1(sK69(sK73(sK71(sK72))),sK70(sK73(sK71(sK72))))
| ~ r1(sK73(sK71(sK72)),sK69(sK73(sK71(sK72))))
| ~ p2(sK69(sK73(sK71(sK72))))
| ~ r1(sK72,sK71(sK72))
| p2(sK70(sK73(sK71(sK72))))
| p2(sK71(sK72)) ),
inference(instantiation,[status(thm)],[c_10956]) ).
cnf(c_16405,plain,
( p5(sK93(sK72))
| sP1(sK72) ),
inference(superposition,[status(thm)],[c_49,c_260]) ).
cnf(c_17711,plain,
( ~ r1(sK98,sK93(X0))
| ~ p5(sK93(X0))
| sP0(sK72) ),
inference(instantiation,[status(thm)],[c_268]) ).
cnf(c_17797,plain,
( ~ r1(sK98,sK93(sK98))
| ~ p5(sK93(sK98))
| sP0(sK72) ),
inference(instantiation,[status(thm)],[c_17711]) ).
cnf(c_17798,plain,
( ~ r1(sK72,sK98)
| r1(sK98,sK93(sK98))
| sP1(sK72) ),
inference(instantiation,[status(thm)],[c_261]) ).
cnf(c_17851,plain,
( ~ r1(sK72,sK98)
| p5(sK93(sK98))
| sP1(sK72) ),
inference(instantiation,[status(thm)],[c_260]) ).
cnf(c_17855,plain,
( ~ r1(X0,sK98)
| ~ r1(sK72,X0)
| r1(sK72,sK98) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_17897,plain,
( ~ r1(sK72,sK97)
| ~ r1(sK97,sK98)
| r1(sK72,sK98) ),
inference(instantiation,[status(thm)],[c_17855]) ).
cnf(c_18452,plain,
sP1(sK72),
inference(global_subsumption_just,[status(thm)],[c_16405,c_271,c_269,c_274,c_275,c_3291,c_3292,c_3475,c_3476,c_3477,c_3478,c_4300,c_10957,c_17797,c_17798,c_17851,c_17897]) ).
cnf(c_19560,plain,
( ~ r1(X0,sK67(sK73(sK68(X1))))
| ~ r1(sK73(X2),X0)
| ~ r1(sK72,X2)
| ~ p2(X0)
| p2(sK67(sK73(sK68(X1))))
| p2(X2) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_21064,plain,
( ~ r1(X0,sK67(sK73(sK68(X1))))
| ~ r1(sK73(sK68(X2)),X0)
| ~ r1(sK72,sK68(X2))
| ~ p2(X0)
| p2(sK67(sK73(sK68(X1))))
| p2(sK68(X2)) ),
inference(instantiation,[status(thm)],[c_19560]) ).
cnf(c_25152,plain,
( ~ r1(sK66(sK73(sK68(X0))),sK67(sK73(sK68(X1))))
| ~ r1(sK73(sK68(X0)),sK66(sK73(sK68(X0))))
| ~ p2(sK66(sK73(sK68(X0))))
| ~ r1(sK72,sK68(X0))
| p2(sK67(sK73(sK68(X1))))
| p2(sK68(X0)) ),
inference(instantiation,[status(thm)],[c_21064]) ).
cnf(c_25153,plain,
( ~ r1(sK66(sK73(sK68(sK72))),sK67(sK73(sK68(sK72))))
| ~ r1(sK73(sK68(sK72)),sK66(sK73(sK68(sK72))))
| ~ p2(sK66(sK73(sK68(sK72))))
| ~ r1(sK72,sK68(sK72))
| p2(sK67(sK73(sK68(sK72))))
| p2(sK68(sK72)) ),
inference(instantiation,[status(thm)],[c_25152]) ).
cnf(c_25154,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_25153,c_18452,c_4292,c_3420,c_3419,c_3418,c_3417,c_3095,c_3094,c_277,c_276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL676+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 18:51:04 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 32.14/5.20 % SZS status Started for theBenchmark.p
% 32.14/5.20 % SZS status Theorem for theBenchmark.p
% 32.14/5.20
% 32.14/5.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 32.14/5.20
% 32.14/5.20 ------ iProver source info
% 32.14/5.20
% 32.14/5.20 git: date: 2024-05-02 19:28:25 +0000
% 32.14/5.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 32.14/5.20 git: non_committed_changes: false
% 32.14/5.20
% 32.14/5.20 ------ Parsing...
% 32.14/5.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 32.14/5.20
% 32.14/5.20 ------ Preprocessing...
% 32.14/5.20
% 32.14/5.20 ------ Preprocessing...
% 32.14/5.20 ------ Proving...
% 32.14/5.20 ------ Problem Properties
% 32.14/5.20
% 32.14/5.20
% 32.14/5.20 clauses 223
% 32.14/5.20 conjectures 77
% 32.14/5.20 EPR 84
% 32.14/5.20 Horn 88
% 32.14/5.20 unary 5
% 32.14/5.20 binary 71
% 32.14/5.20 lits 1206
% 32.14/5.20 lits eq 0
% 32.14/5.20 fd_pure 0
% 32.14/5.20 fd_pseudo 0
% 32.14/5.20 fd_cond 0
% 32.14/5.20 fd_pseudo_cond 0
% 32.14/5.20 AC symbols 0
% 32.14/5.20
% 32.14/5.20 ------ Input Options Time Limit: Unbounded
% 32.14/5.20
% 32.14/5.20
% 32.14/5.20 ------
% 32.14/5.20 Current options:
% 32.14/5.20 ------
% 32.14/5.20
% 32.14/5.20
% 32.14/5.20
% 32.14/5.20
% 32.14/5.20 ------ Proving...
% 32.14/5.20
% 32.14/5.20
% 32.14/5.20 % SZS status Theorem for theBenchmark.p
% 32.14/5.20
% 32.14/5.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.14/5.21
% 32.14/5.21
%------------------------------------------------------------------------------