%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL658+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:07:42 PM UTC 2026
% Result : Theorem 70.20s 10.43s
% Output : CNFRefutation 70.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 78
% Number of leaves : 5
% Syntax : Number of formulae : 283 ( 31 unt; 4 def)
% Number of atoms : 3492 ( 0 equ)
% Maximal formula atoms : 238 ( 12 avg)
% Number of connectives : 5823 (2614 ~;2839 |; 370 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 48 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 37 ( 37 usr; 11 con; 0-1 aty)
% Number of variables : 2298 ( 0 sgn2137 !; 161 ?; 505 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
& ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ 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] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
& ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ 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] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X181] :
( ~ ! [X184] :
( p1(X184)
| ~ r1(X181,X184) )
| ! [X182] :
( ! [X183] :
( p1(X183)
| ~ r1(X182,X183) )
| ~ r1(X181,X182) )
| ~ r1(X0,X181) )
& ! [X176] :
( ! [X177] :
( ~ ! [X180] :
( p1(X180)
| ~ r1(X177,X180) )
| ! [X178] :
( ! [X179] :
( p1(X179)
| ~ r1(X178,X179) )
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
| ~ r1(X0,X176) )
& ! [X170] :
( ! [X171] :
( ! [X172] :
( ~ ! [X175] :
( p1(X175)
| ~ r1(X172,X175) )
| ! [X173] :
( ! [X174] :
( p1(X174)
| ~ r1(X173,X174) )
| ~ r1(X172,X173) )
| ~ r1(X171,X172) )
| ~ r1(X170,X171) )
| ~ r1(X0,X170) )
& ! [X163] :
( ! [X164] :
( ! [X165] :
( ! [X166] :
( ~ ! [X169] :
( p1(X169)
| ~ r1(X166,X169) )
| ! [X167] :
( ! [X168] :
( p1(X168)
| ~ r1(X167,X168) )
| ~ r1(X166,X167) )
| ~ r1(X165,X166) )
| ~ r1(X164,X165) )
| ~ r1(X163,X164) )
| ~ r1(X0,X163) )
& ! [X155] :
( ! [X156] :
( ! [X157] :
( ! [X158] :
( ! [X159] :
( ~ ! [X162] :
( p1(X162)
| ~ r1(X159,X162) )
| ! [X160] :
( ! [X161] :
( p1(X161)
| ~ r1(X160,X161) )
| ~ r1(X159,X160) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
| ~ r1(X0,X155) )
& ! [X146] :
( ! [X147] :
( ! [X148] :
( ! [X149] :
( ! [X150] :
( ! [X151] :
( ~ ! [X154] :
( p1(X154)
| ~ r1(X151,X154) )
| ! [X152] :
( ! [X153] :
( p1(X153)
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X0,X146) )
& ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ~ ! [X145] :
( p1(X145)
| ~ r1(X142,X145) )
| ! [X143] :
( ! [X144] :
( p1(X144)
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X0,X136) )
& ~ ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ! [X129] :
( ~ ! [X133] :
( ~ ! [X134] :
( ~ p1(X134)
| ! [X135] :
( p1(X135)
| ~ r1(X134,X135) )
| ~ r1(X133,X134) )
| p1(X133)
| ~ r1(X129,X133) )
| ! [X131] :
( ~ ! [X132] :
( p1(X132)
| ~ r1(X131,X132) )
| ~ r1(X129,X131) )
| ! [X130] :
( p1(X130)
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X0,X122) ) )
| ~ ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ( ( ~ ! [X119] :
( ~ ! [X120] :
( ~ p1(X120)
| ! [X121] :
( p1(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| p1(X119)
| ~ r1(X95,X119) )
| ! [X115] :
( ! [X116] :
( ~ ! [X117] :
( ~ p1(X117)
| ! [X118] :
( p1(X118)
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| p1(X116)
| ~ r1(X115,X116) )
| ~ r1(X95,X115) ) )
& ! [X111] :
( ~ ! [X114] :
( p1(X114)
| ~ r1(X111,X114) )
| ! [X112] :
( ! [X113] :
( p1(X113)
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X95,X111) )
& ( ~ ! [X108] :
( ~ ! [X109] :
( ~ p1(X109)
| ! [X110] :
( p1(X110)
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| p1(X108)
| ~ r1(X95,X108) )
| ! [X106] :
( ~ ! [X107] :
( p1(X107)
| ~ r1(X106,X107) )
| ~ r1(X95,X106) )
| p1(X95) )
& ( ~ ! [X100] :
( ~ ! [X102] :
( ~ ( ~ p1(X102)
| ! [X105] :
( p1(X105)
| ~ r1(X102,X105) ) )
| ! [X103] :
( ~ p1(X103)
| ! [X104] :
( p1(X104)
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X100,X102) )
| ~ p1(X100)
| ! [X101] :
( p1(X101)
| ~ r1(X100,X101) )
| ~ r1(X95,X100) )
| ! [X97] :
( ~ ! [X98] :
( ~ p1(X98)
| ! [X99] :
( p1(X99)
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X95,X97) )
| ~ p1(X95)
| ! [X96] :
( p1(X96)
| ~ r1(X95,X96) ) ) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X0,X88) )
| ~ ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ~ ! [X87] :
( p1(X87)
| ~ r1(X84,X87) )
| ! [X85] :
( ! [X86] :
( p1(X86)
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X0,X76) )
| ~ ! [X63] :
( ! [X64] :
( ! [X65] :
( ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ~ ! [X75] :
( p1(X75)
| ~ r1(X72,X75) )
| ! [X73] :
( ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| ~ ! [X49] :
( ! [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ~ ! [X62] :
( p1(X62)
| ~ r1(X59,X62) )
| ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X0,X49) )
| ~ ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ~ ! [X48] :
( p1(X48)
| ~ r1(X45,X48) )
| ! [X46] :
( ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
| ~ ! [X18] :
( ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ~ ! [X33] :
( p1(X33)
| ~ r1(X30,X33) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X14,X17) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( ! [X181] :
( ~ ! [X184] :
( p1(X184)
| ~ r1(X181,X184) )
| ! [X182] :
( ! [X183] :
( p1(X183)
| ~ r1(X182,X183) )
| ~ r1(X181,X182) )
| ~ r1(X0,X181) )
& ! [X176] :
( ! [X177] :
( ~ ! [X180] :
( p1(X180)
| ~ r1(X177,X180) )
| ! [X178] :
( ! [X179] :
( p1(X179)
| ~ r1(X178,X179) )
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
| ~ r1(X0,X176) )
& ! [X170] :
( ! [X171] :
( ! [X172] :
( ~ ! [X175] :
( p1(X175)
| ~ r1(X172,X175) )
| ! [X173] :
( ! [X174] :
( p1(X174)
| ~ r1(X173,X174) )
| ~ r1(X172,X173) )
| ~ r1(X171,X172) )
| ~ r1(X170,X171) )
| ~ r1(X0,X170) )
& ! [X163] :
( ! [X164] :
( ! [X165] :
( ! [X166] :
( ~ ! [X169] :
( p1(X169)
| ~ r1(X166,X169) )
| ! [X167] :
( ! [X168] :
( p1(X168)
| ~ r1(X167,X168) )
| ~ r1(X166,X167) )
| ~ r1(X165,X166) )
| ~ r1(X164,X165) )
| ~ r1(X163,X164) )
| ~ r1(X0,X163) )
& ! [X155] :
( ! [X156] :
( ! [X157] :
( ! [X158] :
( ! [X159] :
( ~ ! [X162] :
( p1(X162)
| ~ r1(X159,X162) )
| ! [X160] :
( ! [X161] :
( p1(X161)
| ~ r1(X160,X161) )
| ~ r1(X159,X160) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
| ~ r1(X0,X155) )
& ! [X146] :
( ! [X147] :
( ! [X148] :
( ! [X149] :
( ! [X150] :
( ! [X151] :
( ~ ! [X154] :
( p1(X154)
| ~ r1(X151,X154) )
| ! [X152] :
( ! [X153] :
( p1(X153)
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X0,X146) )
& ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ~ ! [X145] :
( p1(X145)
| ~ r1(X142,X145) )
| ! [X143] :
( ! [X144] :
( p1(X144)
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X0,X136) )
& ~ ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ! [X129] :
( ~ ! [X133] :
( ~ ! [X134] :
( ~ p1(X134)
| ! [X135] :
( p1(X135)
| ~ r1(X134,X135) )
| ~ r1(X133,X134) )
| p1(X133)
| ~ r1(X129,X133) )
| ! [X131] :
( ~ ! [X132] :
( p1(X132)
| ~ r1(X131,X132) )
| ~ r1(X129,X131) )
| ! [X130] :
( p1(X130)
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X0,X122) ) )
| ~ ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ( ( ~ ! [X119] :
( ~ ! [X120] :
( ~ p1(X120)
| ! [X121] :
( p1(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| p1(X119)
| ~ r1(X95,X119) )
| ! [X115] :
( ! [X116] :
( ~ ! [X117] :
( ~ p1(X117)
| ! [X118] :
( p1(X118)
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| p1(X116)
| ~ r1(X115,X116) )
| ~ r1(X95,X115) ) )
& ! [X111] :
( ~ ! [X114] :
( p1(X114)
| ~ r1(X111,X114) )
| ! [X112] :
( ! [X113] :
( p1(X113)
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X95,X111) )
& ( ~ ! [X108] :
( ~ ! [X109] :
( ~ p1(X109)
| ! [X110] :
( p1(X110)
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| p1(X108)
| ~ r1(X95,X108) )
| ! [X106] :
( ~ ! [X107] :
( p1(X107)
| ~ r1(X106,X107) )
| ~ r1(X95,X106) )
| p1(X95) )
& ( ~ ! [X100] :
( ~ ! [X102] :
( ~ ( ~ p1(X102)
| ! [X105] :
( p1(X105)
| ~ r1(X102,X105) ) )
| ! [X103] :
( ~ p1(X103)
| ! [X104] :
( p1(X104)
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X100,X102) )
| ~ p1(X100)
| ! [X101] :
( p1(X101)
| ~ r1(X100,X101) )
| ~ r1(X95,X100) )
| ! [X97] :
( ~ ! [X98] :
( ~ p1(X98)
| ! [X99] :
( p1(X99)
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X95,X97) )
| ~ p1(X95)
| ! [X96] :
( p1(X96)
| ~ r1(X95,X96) ) ) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X0,X88) )
| ~ ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ~ ! [X87] :
( p1(X87)
| ~ r1(X84,X87) )
| ! [X85] :
( ! [X86] :
( p1(X86)
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X0,X76) )
| ~ ! [X63] :
( ! [X64] :
( ! [X65] :
( ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ~ ! [X75] :
( p1(X75)
| ~ r1(X72,X75) )
| ! [X73] :
( ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| ~ ! [X49] :
( ! [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ~ ! [X62] :
( p1(X62)
| ~ r1(X59,X62) )
| ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X0,X49) )
| ~ ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ~ ! [X48] :
( p1(X48)
| ~ r1(X45,X48) )
| ! [X46] :
( ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
| ~ ! [X18] :
( ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ~ ! [X33] :
( p1(X33)
| ~ r1(X30,X33) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X14,X17) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ! [X181] :
( ? [X184] :
( ~ p1(X184)
& r1(X181,X184) )
| ! [X182] :
( ! [X183] :
( p1(X183)
| ~ r1(X182,X183) )
| ~ r1(X181,X182) )
| ~ r1(X0,X181) )
& ! [X176] :
( ! [X177] :
( ? [X180] :
( ~ p1(X180)
& r1(X177,X180) )
| ! [X178] :
( ! [X179] :
( p1(X179)
| ~ r1(X178,X179) )
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
| ~ r1(X0,X176) )
& ! [X170] :
( ! [X171] :
( ! [X172] :
( ? [X175] :
( ~ p1(X175)
& r1(X172,X175) )
| ! [X173] :
( ! [X174] :
( p1(X174)
| ~ r1(X173,X174) )
| ~ r1(X172,X173) )
| ~ r1(X171,X172) )
| ~ r1(X170,X171) )
| ~ r1(X0,X170) )
& ! [X163] :
( ! [X164] :
( ! [X165] :
( ! [X166] :
( ? [X169] :
( ~ p1(X169)
& r1(X166,X169) )
| ! [X167] :
( ! [X168] :
( p1(X168)
| ~ r1(X167,X168) )
| ~ r1(X166,X167) )
| ~ r1(X165,X166) )
| ~ r1(X164,X165) )
| ~ r1(X163,X164) )
| ~ r1(X0,X163) )
& ! [X155] :
( ! [X156] :
( ! [X157] :
( ! [X158] :
( ! [X159] :
( ? [X162] :
( ~ p1(X162)
& r1(X159,X162) )
| ! [X160] :
( ! [X161] :
( p1(X161)
| ~ r1(X160,X161) )
| ~ r1(X159,X160) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
| ~ r1(X0,X155) )
& ! [X146] :
( ! [X147] :
( ! [X148] :
( ! [X149] :
( ! [X150] :
( ! [X151] :
( ? [X154] :
( ~ p1(X154)
& r1(X151,X154) )
| ! [X152] :
( ! [X153] :
( p1(X153)
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X0,X146) )
& ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ? [X145] :
( ~ p1(X145)
& r1(X142,X145) )
| ! [X143] :
( ! [X144] :
( p1(X144)
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X0,X136) )
& ? [X122] :
( ? [X123] :
( ? [X124] :
( ? [X125] :
( ? [X126] :
( ? [X127] :
( ? [X128] :
( ? [X129] :
( ! [X133] :
( ? [X134] :
( p1(X134)
& ? [X135] :
( ~ p1(X135)
& r1(X134,X135) )
& r1(X133,X134) )
| p1(X133)
| ~ r1(X129,X133) )
& ? [X131] :
( ! [X132] :
( p1(X132)
| ~ r1(X131,X132) )
& r1(X129,X131) )
& ? [X130] :
( ~ p1(X130)
& r1(X129,X130) )
& r1(X128,X129) )
& r1(X127,X128) )
& r1(X126,X127) )
& r1(X125,X126) )
& r1(X124,X125) )
& r1(X123,X124) )
& r1(X122,X123) )
& r1(X0,X122) )
& ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ( ( ? [X119] :
( ! [X120] :
( ~ p1(X120)
| ! [X121] :
( p1(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p1(X119)
& r1(X95,X119) )
| ! [X115] :
( ! [X116] :
( ? [X117] :
( p1(X117)
& ? [X118] :
( ~ p1(X118)
& r1(X117,X118) )
& r1(X116,X117) )
| p1(X116)
| ~ r1(X115,X116) )
| ~ r1(X95,X115) ) )
& ! [X111] :
( ? [X114] :
( ~ p1(X114)
& r1(X111,X114) )
| ! [X112] :
( ! [X113] :
( p1(X113)
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X95,X111) )
& ( ? [X108] :
( ! [X109] :
( ~ p1(X109)
| ! [X110] :
( p1(X110)
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
& ~ p1(X108)
& r1(X95,X108) )
| ! [X106] :
( ? [X107] :
( ~ p1(X107)
& r1(X106,X107) )
| ~ r1(X95,X106) )
| p1(X95) )
& ( ? [X100] :
( ! [X102] :
( ( p1(X102)
& ? [X105] :
( ~ p1(X105)
& r1(X102,X105) ) )
| ! [X103] :
( ~ p1(X103)
| ! [X104] :
( p1(X104)
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X100,X102) )
& p1(X100)
& ? [X101] :
( ~ p1(X101)
& r1(X100,X101) )
& r1(X95,X100) )
| ! [X97] :
( ? [X98] :
( p1(X98)
& ? [X99] :
( ~ p1(X99)
& r1(X98,X99) )
& r1(X97,X98) )
| ~ r1(X95,X97) )
| ~ p1(X95)
| ! [X96] :
( p1(X96)
| ~ r1(X95,X96) ) ) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X0,X88) )
& ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ? [X87] :
( ~ p1(X87)
& r1(X84,X87) )
| ! [X85] :
( ! [X86] :
( p1(X86)
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X0,X76) )
& ! [X63] :
( ! [X64] :
( ! [X65] :
( ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ? [X75] :
( ~ p1(X75)
& r1(X72,X75) )
| ! [X73] :
( ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
& ! [X49] :
( ! [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ? [X62] :
( ~ p1(X62)
& r1(X59,X62) )
| ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X0,X49) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ? [X48] :
( ~ p1(X48)
& r1(X45,X48) )
| ! [X46] :
( ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
& ! [X18] :
( ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ? [X33] :
( ~ p1(X33)
& r1(X30,X33) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ? [X17] :
( ~ p1(X17)
& r1(X14,X17) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X181] :
( ? [X184] :
( ~ p1(X184)
& r1(X181,X184) )
| ! [X182] :
( ! [X183] :
( p1(X183)
| ~ r1(X182,X183) )
| ~ r1(X181,X182) )
| ~ r1(X0,X181) )
& ! [X176] :
( ! [X177] :
( ? [X180] :
( ~ p1(X180)
& r1(X177,X180) )
| ! [X178] :
( ! [X179] :
( p1(X179)
| ~ r1(X178,X179) )
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
| ~ r1(X0,X176) )
& ! [X170] :
( ! [X171] :
( ! [X172] :
( ? [X175] :
( ~ p1(X175)
& r1(X172,X175) )
| ! [X173] :
( ! [X174] :
( p1(X174)
| ~ r1(X173,X174) )
| ~ r1(X172,X173) )
| ~ r1(X171,X172) )
| ~ r1(X170,X171) )
| ~ r1(X0,X170) )
& ! [X163] :
( ! [X164] :
( ! [X165] :
( ! [X166] :
( ? [X169] :
( ~ p1(X169)
& r1(X166,X169) )
| ! [X167] :
( ! [X168] :
( p1(X168)
| ~ r1(X167,X168) )
| ~ r1(X166,X167) )
| ~ r1(X165,X166) )
| ~ r1(X164,X165) )
| ~ r1(X163,X164) )
| ~ r1(X0,X163) )
& ! [X155] :
( ! [X156] :
( ! [X157] :
( ! [X158] :
( ! [X159] :
( ? [X162] :
( ~ p1(X162)
& r1(X159,X162) )
| ! [X160] :
( ! [X161] :
( p1(X161)
| ~ r1(X160,X161) )
| ~ r1(X159,X160) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
| ~ r1(X0,X155) )
& ! [X146] :
( ! [X147] :
( ! [X148] :
( ! [X149] :
( ! [X150] :
( ! [X151] :
( ? [X154] :
( ~ p1(X154)
& r1(X151,X154) )
| ! [X152] :
( ! [X153] :
( p1(X153)
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X0,X146) )
& ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ? [X145] :
( ~ p1(X145)
& r1(X142,X145) )
| ! [X143] :
( ! [X144] :
( p1(X144)
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X0,X136) )
& ? [X122] :
( ? [X123] :
( ? [X124] :
( ? [X125] :
( ? [X126] :
( ? [X127] :
( ? [X128] :
( ? [X129] :
( ! [X133] :
( ? [X134] :
( p1(X134)
& ? [X135] :
( ~ p1(X135)
& r1(X134,X135) )
& r1(X133,X134) )
| p1(X133)
| ~ r1(X129,X133) )
& ? [X131] :
( ! [X132] :
( p1(X132)
| ~ r1(X131,X132) )
& r1(X129,X131) )
& ? [X130] :
( ~ p1(X130)
& r1(X129,X130) )
& r1(X128,X129) )
& r1(X127,X128) )
& r1(X126,X127) )
& r1(X125,X126) )
& r1(X124,X125) )
& r1(X123,X124) )
& r1(X122,X123) )
& r1(X0,X122) )
& ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ( ( ? [X119] :
( ! [X120] :
( ~ p1(X120)
| ! [X121] :
( p1(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p1(X119)
& r1(X95,X119) )
| ! [X115] :
( ! [X116] :
( ? [X117] :
( p1(X117)
& ? [X118] :
( ~ p1(X118)
& r1(X117,X118) )
& r1(X116,X117) )
| p1(X116)
| ~ r1(X115,X116) )
| ~ r1(X95,X115) ) )
& ! [X111] :
( ? [X114] :
( ~ p1(X114)
& r1(X111,X114) )
| ! [X112] :
( ! [X113] :
( p1(X113)
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X95,X111) )
& ( ? [X108] :
( ! [X109] :
( ~ p1(X109)
| ! [X110] :
( p1(X110)
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
& ~ p1(X108)
& r1(X95,X108) )
| ! [X106] :
( ? [X107] :
( ~ p1(X107)
& r1(X106,X107) )
| ~ r1(X95,X106) )
| p1(X95) )
& ( ? [X100] :
( ! [X102] :
( ( p1(X102)
& ? [X105] :
( ~ p1(X105)
& r1(X102,X105) ) )
| ! [X103] :
( ~ p1(X103)
| ! [X104] :
( p1(X104)
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X100,X102) )
& p1(X100)
& ? [X101] :
( ~ p1(X101)
& r1(X100,X101) )
& r1(X95,X100) )
| ! [X97] :
( ? [X98] :
( p1(X98)
& ? [X99] :
( ~ p1(X99)
& r1(X98,X99) )
& r1(X97,X98) )
| ~ r1(X95,X97) )
| ~ p1(X95)
| ! [X96] :
( p1(X96)
| ~ r1(X95,X96) ) ) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X0,X88) )
& ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ? [X87] :
( ~ p1(X87)
& r1(X84,X87) )
| ! [X85] :
( ! [X86] :
( p1(X86)
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X0,X76) )
& ! [X63] :
( ! [X64] :
( ! [X65] :
( ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ? [X75] :
( ~ p1(X75)
& r1(X72,X75) )
| ! [X73] :
( ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
& ! [X49] :
( ! [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ? [X62] :
( ~ p1(X62)
& r1(X59,X62) )
| ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X0,X49) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ? [X48] :
( ~ p1(X48)
& r1(X45,X48) )
| ! [X46] :
( ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
& ! [X18] :
( ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ? [X33] :
( ~ p1(X33)
& r1(X30,X33) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ? [X17] :
( ~ p1(X17)
& r1(X14,X17) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f6]) ).
fof(f13,plain,
! [X95] :
( ~ sP3(X95)
| sP1(X95)
| ! [X97] :
( ? [X98] :
( p1(X98)
& ? [X99] :
( ~ p1(X99)
& r1(X98,X99) )
& r1(X97,X98) )
| ~ r1(X95,X97) )
| ~ p1(X95)
| ! [X96] :
( p1(X96)
| ~ r1(X95,X96) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f14,plain,
! [X0] :
( ~ sP3(X0)
| sP1(X0)
| ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| ~ r1(X0,X2) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ~ sP3(X0)
| sP1(X0)
| ! [X2] :
( ( p1(sK4(X2))
& ~ p1(sK5(X2))
& r1(sK4(X2),sK5(X2))
& r1(X2,sK4(X2)) )
| ~ r1(X0,X2) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK4(X2)),skolemize(X4,sK5(X2))],[f14]) ).
fof(f16,plain,
! [X95] :
( ~ sP2(X95)
| ? [X108] :
( ! [X109] :
( ~ p1(X109)
| ! [X110] :
( p1(X110)
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
& ~ p1(X108)
& r1(X95,X108) )
| ! [X106] :
( ? [X107] :
( ~ p1(X107)
& r1(X106,X107) )
| ~ r1(X95,X106) )
| p1(X95) ),
inference(nnf_transformation,[],[f10]) ).
fof(f17,plain,
! [X0] :
( ~ sP2(X0)
| ? [X3] :
( ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p1(X3)
& r1(X0,X3) )
| ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) )
| p1(X0) ),
inference(rectify,[],[f16]) ).
fof(f18,plain,
! [X0] :
( ~ sP2(X0)
| ( ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(sK7(X0),X4) )
& ~ p1(sK7(X0))
& r1(X0,sK7(X0)) )
| ! [X1] :
( ( ~ p1(sK6(X1))
& r1(X1,sK6(X1)) )
| ~ r1(X0,X1) )
| p1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X2,sK6(X1)),skolemize(X3,sK7(X0))],[f17]) ).
fof(f19,plain,
! [X95] :
( ~ sP1(X95)
| ? [X100] :
( ! [X102] :
( ( p1(X102)
& ? [X105] :
( ~ p1(X105)
& r1(X102,X105) ) )
| ! [X103] :
( ~ p1(X103)
| ! [X104] :
( p1(X104)
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X100,X102) )
& p1(X100)
& ? [X101] :
( ~ p1(X101)
& r1(X100,X101) )
& r1(X95,X100) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f20,plain,
! [X0] :
( ~ sP1(X0)
| ? [X1] :
( ! [X3] :
( ( p1(X3)
& ? [X6] :
( ~ p1(X6)
& r1(X3,X6) ) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
& p1(X1)
& ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
& r1(X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0] :
( ~ sP1(X0)
| ( ! [X3] :
( ( p1(X3)
& ~ p1(sK10(X3))
& r1(X3,sK10(X3)) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(sK8(X0),X3) )
& p1(sK8(X0))
& ~ p1(sK9(X0))
& r1(sK8(X0),sK9(X0))
& r1(X0,sK8(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0)),skolemize(X6,sK10(X3))],[f20]) ).
fof(f25,plain,
? [X0] :
( ! [X162] :
( ? [X165] :
( ~ p1(X165)
& r1(X162,X165) )
| ! [X163] :
( ! [X164] :
( p1(X164)
| ~ r1(X163,X164) )
| ~ r1(X162,X163) )
| ~ r1(X0,X162) )
& ! [X157] :
( ! [X158] :
( ? [X161] :
( ~ p1(X161)
& r1(X158,X161) )
| ! [X159] :
( ! [X160] :
( p1(X160)
| ~ r1(X159,X160) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X0,X157) )
& ! [X151] :
( ! [X152] :
( ! [X153] :
( ? [X156] :
( ~ p1(X156)
& r1(X153,X156) )
| ! [X154] :
( ! [X155] :
( p1(X155)
| ~ r1(X154,X155) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X0,X151) )
& ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ? [X150] :
( ~ p1(X150)
& r1(X147,X150) )
| ! [X148] :
( ! [X149] :
( p1(X149)
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X0,X144) )
& ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ? [X143] :
( ~ p1(X143)
& r1(X140,X143) )
| ! [X141] :
( ! [X142] :
( p1(X142)
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X0,X136) )
& ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ? [X135] :
( ~ p1(X135)
& r1(X132,X135) )
| ! [X133] :
( ! [X134] :
( p1(X134)
| ~ r1(X133,X134) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(X0,X127) )
& ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( ! [X123] :
( ? [X126] :
( ~ p1(X126)
& r1(X123,X126) )
| ! [X124] :
( ! [X125] :
( p1(X125)
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(X0,X117) )
& ? [X103] :
( ? [X104] :
( ? [X105] :
( ? [X106] :
( ? [X107] :
( ? [X108] :
( ? [X109] :
( ? [X110] :
( ! [X114] :
( ? [X115] :
( p1(X115)
& ? [X116] :
( ~ p1(X116)
& r1(X115,X116) )
& r1(X114,X115) )
| p1(X114)
| ~ r1(X110,X114) )
& ? [X112] :
( ! [X113] :
( p1(X113)
| ~ r1(X112,X113) )
& r1(X110,X112) )
& ? [X111] :
( ~ p1(X111)
& r1(X110,X111) )
& r1(X109,X110) )
& r1(X108,X109) )
& r1(X107,X108) )
& r1(X106,X107) )
& r1(X105,X106) )
& r1(X104,X105) )
& r1(X103,X104) )
& r1(X0,X103) )
& ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ( ( ? [X100] :
( ! [X101] :
( ~ p1(X101)
| ! [X102] :
( p1(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
& ~ p1(X100)
& r1(X95,X100) )
| sP0(X95) )
& ! [X96] :
( ? [X99] :
( ~ p1(X99)
& r1(X96,X99) )
| ! [X97] :
( ! [X98] :
( p1(X98)
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
& sP2(X95)
& sP3(X95) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X0,X88) )
& ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ? [X87] :
( ~ p1(X87)
& r1(X84,X87) )
| ! [X85] :
( ! [X86] :
( p1(X86)
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X0,X76) )
& ! [X63] :
( ! [X64] :
( ! [X65] :
( ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ? [X75] :
( ~ p1(X75)
& r1(X72,X75) )
| ! [X73] :
( ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
& ! [X49] :
( ! [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ? [X62] :
( ~ p1(X62)
& r1(X59,X62) )
| ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X0,X49) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ? [X48] :
( ~ p1(X48)
& r1(X45,X48) )
| ! [X46] :
( ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
& ! [X18] :
( ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ? [X33] :
( ~ p1(X33)
& r1(X30,X33) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ? [X17] :
( ~ p1(X17)
& r1(X14,X17) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f26,plain,
( ! [X162] :
( ( ~ p1(sK40(X162))
& r1(X162,sK40(X162)) )
| ! [X163] :
( ! [X164] :
( p1(X164)
| ~ r1(X163,X164) )
| ~ r1(X162,X163) )
| ~ r1(sK13,X162) )
& ! [X157] :
( ! [X158] :
( ( ~ p1(sK39(X158))
& r1(X158,sK39(X158)) )
| ! [X159] :
( ! [X160] :
( p1(X160)
| ~ r1(X159,X160) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(sK13,X157) )
& ! [X151] :
( ! [X152] :
( ! [X153] :
( ( ~ p1(sK38(X153))
& r1(X153,sK38(X153)) )
| ! [X154] :
( ! [X155] :
( p1(X155)
| ~ r1(X154,X155) )
| ~ r1(X153,X154) )
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(sK13,X151) )
& ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( ( ~ p1(sK37(X147))
& r1(X147,sK37(X147)) )
| ! [X148] :
( ! [X149] :
( p1(X149)
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(sK13,X144) )
& ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ( ~ p1(sK36(X140))
& r1(X140,sK36(X140)) )
| ! [X141] :
( ! [X142] :
( p1(X142)
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(sK13,X136) )
& ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( ! [X131] :
( ! [X132] :
( ( ~ p1(sK35(X132))
& r1(X132,sK35(X132)) )
| ! [X133] :
( ! [X134] :
( p1(X134)
| ~ r1(X133,X134) )
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) )
| ~ r1(sK13,X127) )
& ! [X117] :
( ! [X118] :
( ! [X119] :
( ! [X120] :
( ! [X121] :
( ! [X122] :
( ! [X123] :
( ( ~ p1(sK34(X123))
& r1(X123,sK34(X123)) )
| ! [X124] :
( ! [X125] :
( p1(X125)
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| ~ r1(X118,X119) )
| ~ r1(X117,X118) )
| ~ r1(sK13,X117) )
& ! [X114] :
( ( p1(sK32(X114))
& ~ p1(sK33(X114))
& r1(sK32(X114),sK33(X114))
& r1(X114,sK32(X114)) )
| p1(X114)
| ~ r1(sK29,X114) )
& ! [X113] :
( p1(X113)
| ~ r1(sK31,X113) )
& r1(sK29,sK31)
& ~ p1(sK30)
& r1(sK29,sK30)
& r1(sK28,sK29)
& r1(sK27,sK28)
& r1(sK26,sK27)
& r1(sK25,sK26)
& r1(sK24,sK25)
& r1(sK23,sK24)
& r1(sK22,sK23)
& r1(sK13,sK22)
& ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ( ( ( ! [X101] :
( ~ p1(X101)
| ! [X102] :
( p1(X102)
| ~ r1(X101,X102) )
| ~ r1(sK21(X95),X101) )
& ~ p1(sK21(X95))
& r1(X95,sK21(X95)) )
| sP0(X95) )
& ! [X96] :
( ( ~ p1(sK20(X96))
& r1(X96,sK20(X96)) )
| ! [X97] :
( ! [X98] :
( p1(X98)
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
& sP2(X95)
& sP3(X95) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(sK13,X88) )
& ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ( ~ p1(sK19(X84))
& r1(X84,sK19(X84)) )
| ! [X85] :
( ! [X86] :
( p1(X86)
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(sK13,X76) )
& ! [X63] :
( ! [X64] :
( ! [X65] :
( ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ( ~ p1(sK18(X72))
& r1(X72,sK18(X72)) )
| ! [X73] :
( ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(sK13,X63) )
& ! [X49] :
( ! [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ( ~ p1(sK17(X59))
& r1(X59,sK17(X59)) )
| ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(sK13,X49) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ( ~ p1(sK16(X45))
& r1(X45,sK16(X45)) )
| ! [X46] :
( ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(sK13,X34) )
& ! [X18] :
( ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ~ p1(sK15(X30))
& r1(X30,sK15(X30)) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(sK13,X18) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ( ~ p1(sK14(X14))
& r1(X14,sK14(X14)) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK13,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40]),skolemize(X0,sK13),skolemize(X17,sK14(X14)),skolemize(X33,sK15(X30)),skolemize(X48,sK16(X45)),skolemize(X62,sK17(X59)),skolemize(X75,sK18(X72)),skolemize(X87,sK19(X84)),skolemize(X99,sK20(X96)),skolemize(X100,sK21(X95)),skolemize(X103,sK22),skolemize(X104,sK23),skolemize(X105,sK24),skolemize(X106,sK25),skolemize(X107,sK26),skolemize(X108,sK27),skolemize(X109,sK28),skolemize(X110,sK29),skolemize(X111,sK30),skolemize(X112,sK31),skolemize(X115,sK32(X114)),skolemize(X116,sK33(X114)),skolemize(X126,sK34(X123)),skolemize(X135,sK35(X132)),skolemize(X143,sK36(X140)),skolemize(X150,sK37(X147)),skolemize(X156,sK38(X153)),skolemize(X161,sK39(X158)),skolemize(X165,sK40(X162))],[f25]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| ~ p1(sK5(X2))
| ~ r1(X0,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| r1(sK4(X2),sK5(X2))
| ~ r1(X0,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| r1(X2,sK4(X2))
| ~ r1(X0,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f32,plain,
! [X0,X1,X4,X5] :
( ~ sP2(X0)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(sK7(X0),X4)
| ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f34,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X0,sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f35,plain,
! [X0,X1,X4,X5] :
( ~ sP2(X0)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(sK7(X0),X4)
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f36,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ p1(sK7(X0))
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f37,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X0,sK7(X0))
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f38,plain,
! [X3,X0,X4,X5] :
( ~ sP1(X0)
| p1(X3)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(sK8(X0),X3) ),
inference(cnf_transformation,[],[f21]) ).
fof(f42,plain,
! [X0] :
( ~ sP1(X0)
| ~ p1(sK9(X0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f43,plain,
! [X0] :
( ~ sP1(X0)
| r1(sK8(X0),sK9(X0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f44,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f60,plain,
! [X132,X133,X127,X130,X131,X128,X129,X134] :
( r1(X132,sK35(X132))
| p1(X134)
| ~ r1(X133,X134)
| ~ r1(X132,X133)
| ~ r1(X131,X132)
| ~ r1(X130,X131)
| ~ r1(X129,X130)
| ~ r1(X128,X129)
| ~ r1(X127,X128)
| ~ r1(sK13,X127) ),
inference(cnf_transformation,[],[f26]) ).
fof(f62,plain,
! [X120,X118,X121,X119,X117,X124,X125,X122,X123] :
( r1(X123,sK34(X123))
| p1(X125)
| ~ r1(X124,X125)
| ~ r1(X123,X124)
| ~ r1(X122,X123)
| ~ r1(X121,X122)
| ~ r1(X120,X121)
| ~ r1(X119,X120)
| ~ r1(X118,X119)
| ~ r1(X117,X118)
| ~ r1(sK13,X117) ),
inference(cnf_transformation,[],[f26]) ).
fof(f63,plain,
! [X114] :
( p1(sK32(X114))
| p1(X114)
| ~ r1(sK29,X114) ),
inference(cnf_transformation,[],[f26]) ).
fof(f64,plain,
! [X114] :
( ~ p1(sK33(X114))
| p1(X114)
| ~ r1(sK29,X114) ),
inference(cnf_transformation,[],[f26]) ).
fof(f65,plain,
! [X114] :
( r1(sK32(X114),sK33(X114))
| p1(X114)
| ~ r1(sK29,X114) ),
inference(cnf_transformation,[],[f26]) ).
fof(f66,plain,
! [X114] :
( r1(X114,sK32(X114))
| p1(X114)
| ~ r1(sK29,X114) ),
inference(cnf_transformation,[],[f26]) ).
fof(f67,plain,
! [X113] :
( p1(X113)
| ~ r1(sK31,X113) ),
inference(cnf_transformation,[],[f26]) ).
fof(f68,plain,
r1(sK29,sK31),
inference(cnf_transformation,[],[f26]) ).
fof(f69,plain,
~ p1(sK30),
inference(cnf_transformation,[],[f26]) ).
fof(f70,plain,
r1(sK29,sK30),
inference(cnf_transformation,[],[f26]) ).
fof(f71,plain,
r1(sK28,sK29),
inference(cnf_transformation,[],[f26]) ).
fof(f72,plain,
r1(sK27,sK28),
inference(cnf_transformation,[],[f26]) ).
fof(f73,plain,
r1(sK26,sK27),
inference(cnf_transformation,[],[f26]) ).
fof(f74,plain,
r1(sK25,sK26),
inference(cnf_transformation,[],[f26]) ).
fof(f75,plain,
r1(sK24,sK25),
inference(cnf_transformation,[],[f26]) ).
fof(f76,plain,
r1(sK23,sK24),
inference(cnf_transformation,[],[f26]) ).
fof(f77,plain,
r1(sK22,sK23),
inference(cnf_transformation,[],[f26]) ).
fof(f78,plain,
r1(sK13,sK22),
inference(cnf_transformation,[],[f26]) ).
fof(f79,plain,
! [X101,X90,X91,X88,X89,X94,X95,X102,X92,X93] :
( ~ p1(X101)
| p1(X102)
| ~ r1(X101,X102)
| ~ r1(sK21(X95),X101)
| sP0(X95)
| ~ r1(X94,X95)
| ~ r1(X93,X94)
| ~ r1(X92,X93)
| ~ r1(X91,X92)
| ~ r1(X90,X91)
| ~ r1(X89,X90)
| ~ r1(X88,X89)
| ~ r1(sK13,X88) ),
inference(cnf_transformation,[],[f26]) ).
fof(f80,plain,
! [X90,X91,X88,X89,X94,X95,X92,X93] :
( ~ p1(sK21(X95))
| sP0(X95)
| ~ r1(X94,X95)
| ~ r1(X93,X94)
| ~ r1(X92,X93)
| ~ r1(X91,X92)
| ~ r1(X90,X91)
| ~ r1(X89,X90)
| ~ r1(X88,X89)
| ~ r1(sK13,X88) ),
inference(cnf_transformation,[],[f26]) ).
fof(f81,plain,
! [X90,X91,X88,X89,X94,X95,X92,X93] :
( r1(X95,sK21(X95))
| sP0(X95)
| ~ r1(X94,X95)
| ~ r1(X93,X94)
| ~ r1(X92,X93)
| ~ r1(X91,X92)
| ~ r1(X90,X91)
| ~ r1(X89,X90)
| ~ r1(X88,X89)
| ~ r1(sK13,X88) ),
inference(cnf_transformation,[],[f26]) ).
fof(f82,plain,
! [X90,X91,X98,X88,X89,X96,X94,X97,X95,X92,X93] :
( ~ p1(sK20(X96))
| p1(X98)
| ~ r1(X97,X98)
| ~ r1(X96,X97)
| ~ r1(X95,X96)
| ~ r1(X94,X95)
| ~ r1(X93,X94)
| ~ r1(X92,X93)
| ~ r1(X91,X92)
| ~ r1(X90,X91)
| ~ r1(X89,X90)
| ~ r1(X88,X89)
| ~ r1(sK13,X88) ),
inference(cnf_transformation,[],[f26]) ).
fof(f83,plain,
! [X90,X91,X98,X88,X89,X96,X94,X97,X95,X92,X93] :
( r1(X96,sK20(X96))
| p1(X98)
| ~ r1(X97,X98)
| ~ r1(X96,X97)
| ~ r1(X95,X96)
| ~ r1(X94,X95)
| ~ r1(X93,X94)
| ~ r1(X92,X93)
| ~ r1(X91,X92)
| ~ r1(X90,X91)
| ~ r1(X89,X90)
| ~ r1(X88,X89)
| ~ r1(sK13,X88) ),
inference(cnf_transformation,[],[f26]) ).
fof(f84,plain,
! [X90,X91,X88,X89,X94,X95,X92,X93] :
( sP2(X95)
| ~ r1(X94,X95)
| ~ r1(X93,X94)
| ~ r1(X92,X93)
| ~ r1(X91,X92)
| ~ r1(X90,X91)
| ~ r1(X89,X90)
| ~ r1(X88,X89)
| ~ r1(sK13,X88) ),
inference(cnf_transformation,[],[f26]) ).
fof(f85,plain,
! [X90,X91,X88,X89,X94,X95,X92,X93] :
( sP3(X95)
| ~ r1(X94,X95)
| ~ r1(X93,X94)
| ~ r1(X92,X93)
| ~ r1(X91,X92)
| ~ r1(X90,X91)
| ~ r1(X89,X90)
| ~ r1(X88,X89)
| ~ r1(sK13,X88) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| r1(X2,sK4(X2))
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| r1(sK4(X2),sK5(X2))
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| ~ sP3(X0)
| ~ p1(X0)
| ~ p1(sK5(X2))
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X1,sK6(X1))
| r1(X0,sK7(X0))
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X1,sK6(X1))
| ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p1(X0)
| r1(X2,sK6(X2))
| ~ sP2(X0)
| ~ p1(X1)
| ~ r1(X1,X3)
| ~ r1(X0,X2)
| ~ r1(sK7(X0),X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X0,sK7(X0))
| ~ sP2(X0)
| ~ p1(sK6(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p1(X0)
| ~ sP2(X0)
| ~ p1(X1)
| ~ p1(sK6(X2))
| ~ r1(X1,X3)
| ~ r1(X0,X2)
| ~ r1(sK7(X0),X1) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_60,plain,
! [X0: $i] :
( r1(X0,sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_61,plain,
! [X0: $i] :
( r1(sK8(X0),sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_62,plain,
! [X0: $i] :
( ~ sP1(X0)
| ~ p1(sK9(X0)) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p1(X1)
| ~ sP1(X0)
| ~ p1(X2)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK8(X0),X1) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_83,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP3(X7)
| ~ r1(sK13,X0)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_84,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP2(X7)
| ~ r1(sK13,X0)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_85,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( p1(X10)
| r1(X8,sK20(X8))
| ~ r1(sK13,X0)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_86,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( p1(X10)
| ~ p1(sK20(X8))
| ~ r1(sK13,X0)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_87,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(X7)
| r1(X7,sK21(X7))
| ~ r1(sK13,X0)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_88,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(X7)
| ~ p1(sK21(X7))
| ~ r1(sK13,X0)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_89,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(X0)
| p1(X9)
| ~ p1(X1)
| ~ r1(sK13,X2)
| ~ r1(X8,X0)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X9)
| ~ r1(sK21(X0),X1) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_90,negated_conjecture,
r1(sK13,sK22),
inference(cnf_transformation,[],[f78]) ).
tcf(c_91,negated_conjecture,
r1(sK22,sK23),
inference(cnf_transformation,[],[f77]) ).
tcf(c_92,negated_conjecture,
r1(sK23,sK24),
inference(cnf_transformation,[],[f76]) ).
tcf(c_93,negated_conjecture,
r1(sK24,sK25),
inference(cnf_transformation,[],[f75]) ).
tcf(c_94,negated_conjecture,
r1(sK25,sK26),
inference(cnf_transformation,[],[f74]) ).
tcf(c_95,negated_conjecture,
r1(sK26,sK27),
inference(cnf_transformation,[],[f73]) ).
tcf(c_96,negated_conjecture,
r1(sK27,sK28),
inference(cnf_transformation,[],[f72]) ).
tcf(c_97,negated_conjecture,
r1(sK28,sK29),
inference(cnf_transformation,[],[f71]) ).
tcf(c_98,negated_conjecture,
r1(sK29,sK30),
inference(cnf_transformation,[],[f70]) ).
tcf(c_99,negated_conjecture,
~ p1(sK30),
inference(cnf_transformation,[],[f69]) ).
tcf(c_100,negated_conjecture,
r1(sK29,sK31),
inference(cnf_transformation,[],[f68]) ).
tcf(c_101,negated_conjecture,
! [X0: $i] :
( p1(X0)
| ~ r1(sK31,X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_102,negated_conjecture,
! [X0: $i] :
( p1(X0)
| r1(X0,sK32(X0))
| ~ r1(sK29,X0) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_103,negated_conjecture,
! [X0: $i] :
( p1(X0)
| r1(sK32(X0),sK33(X0))
| ~ r1(sK29,X0) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_104,negated_conjecture,
! [X0: $i] :
( p1(X0)
| ~ p1(sK33(X0))
| ~ r1(sK29,X0) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_105,negated_conjecture,
! [X0: $i] :
( p1(X0)
| p1(sK32(X0))
| ~ r1(sK29,X0) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_106,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( p1(X8)
| r1(X6,sK34(X6))
| ~ r1(sK13,X0)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_108,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( p1(X7)
| r1(X5,sK35(X5))
| ~ r1(sK13,X0)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_3640,plain,
( p1(sK29)
| r1(sK31,sK6(sK31))
| r1(sK29,sK7(sK29))
| ~ sP2(sK29) ),
inference(superposition,[status(thm)],[c_100,c_54]) ).
tcf(c_4506,plain,
( p1(sK29)
| r1(sK31,sK6(sK31))
| ~ sP2(sK29)
| ~ p1(sK7(sK29)) ),
inference(superposition,[status(thm)],[c_100,c_55]) ).
tcf(c_4565,plain,
( p1(sK29)
| r1(sK29,sK7(sK29))
| ~ sP2(sK29)
| ~ p1(sK6(sK31)) ),
inference(superposition,[status(thm)],[c_100,c_57]) ).
tcf(c_4583,plain,
( p1(sK29)
| ~ sP2(sK29)
| ~ p1(sK7(sK29))
| ~ p1(sK6(sK31)) ),
inference(superposition,[status(thm)],[c_100,c_58]) ).
tcf(c_4611,plain,
! [X0: $i,X1: $i] :
( p1(sK30)
| sP1(X0)
| r1(X1,sK4(X1))
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,sK30)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_4684,plain,
! [X0: $i,X1: $i] :
( p1(sK30)
| sP1(X0)
| r1(sK4(X1),sK5(X1))
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,sK30)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_5008,plain,
! [X0: $i] :
( sP1(sK29)
| p1(sK30)
| r1(X0,sK4(X0))
| ~ sP3(sK29)
| ~ p1(sK29)
| ~ r1(sK29,sK30)
| ~ r1(sK29,X0) ),
inference(instantiation,[status(thm)],[c_4611]) ).
tcf(c_5031,plain,
! [X0: $i] :
( sP1(sK29)
| p1(sK30)
| r1(sK4(X0),sK5(X0))
| ~ sP3(sK29)
| ~ p1(sK29)
| ~ r1(sK29,sK30)
| ~ r1(sK29,X0) ),
inference(instantiation,[status(thm)],[c_4684]) ).
tcf(c_5596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( p1(X9)
| r1(X7,sK20(X7))
| ~ r1(sK22,X0)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_85,c_90]) ).
tcf(c_5609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( p1(X8)
| r1(X6,sK20(X6))
| ~ r1(sK23,X0)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_5596,c_91]) ).
tcf(c_5666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( p1(X7)
| r1(X5,sK20(X5))
| ~ r1(sK24,X0)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_5609,c_92]) ).
tcf(c_5679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p1(X6)
| r1(X4,sK20(X4))
| ~ r1(sK25,X0)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_5666,c_93]) ).
tcf(c_5690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p1(X5)
| r1(X3,sK20(X3))
| ~ r1(sK26,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_5679,c_94]) ).
tcf(c_5736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p1(X4)
| r1(X2,sK20(X2))
| ~ r1(sK27,X0)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_5690,c_95]) ).
tcf(c_5747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| r1(X1,sK20(X1))
| ~ r1(sK28,X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_5736,c_96]) ).
tcf(c_5807,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(X0,sK20(X0))
| ~ r1(sK29,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_5747,c_97]) ).
tcf(c_5815,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| r1(sK31,sK20(sK31))
| ~ r1(sK31,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_5807,c_100]) ).
tcf(c_6194,plain,
( sP1(sK29)
| p1(sK30)
| r1(sK31,sK4(sK31))
| ~ sP3(sK29)
| ~ p1(sK29)
| ~ r1(sK29,sK31)
| ~ r1(sK29,sK30) ),
inference(instantiation,[status(thm)],[c_5008]) ).
tcf(c_6214,plain,
( sP1(sK29)
| p1(sK30)
| r1(sK4(sK31),sK5(sK31))
| ~ sP3(sK29)
| ~ p1(sK29)
| ~ r1(sK29,sK31)
| ~ r1(sK29,sK30) ),
inference(instantiation,[status(thm)],[c_5031]) ).
tcf(c_6226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( p1(X7)
| r1(X5,sK34(X5))
| ~ r1(sK22,X0)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_106,c_90]) ).
tcf(c_6233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p1(X6)
| r1(X4,sK34(X4))
| ~ r1(sK23,X0)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6226,c_91]) ).
tcf(c_6267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p1(X5)
| r1(X3,sK34(X3))
| ~ r1(sK24,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6233,c_92]) ).
tcf(c_6301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p1(X4)
| r1(X2,sK34(X2))
| ~ r1(sK25,X0)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6267,c_93]) ).
tcf(c_6308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| r1(X1,sK34(X1))
| ~ r1(sK26,X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6301,c_94]) ).
tcf(c_6315,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(X0,sK34(X0))
| ~ r1(sK27,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6308,c_95]) ).
tcf(c_6337,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| r1(sK28,sK34(sK28))
| ~ r1(sK28,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6315,c_96]) ).
tcf(c_6345,plain,
! [X0: $i] :
( p1(X0)
| r1(sK28,sK34(sK28))
| ~ r1(sK29,X0) ),
inference(resolution,[status(thm)],[c_6337,c_97]) ).
tcf(c_6368,plain,
( p1(sK30)
| r1(sK28,sK34(sK28)) ),
inference(resolution,[status(thm)],[c_6345,c_98]) ).
tcf(c_6395,plain,
r1(sK28,sK34(sK28)),
inference(global_subsumption_just,[status(thm)],[c_6368,c_99,c_6368]) ).
tcf(c_6541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p1(X6)
| r1(X4,sK35(X4))
| ~ r1(sK22,X0)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_108,c_90]) ).
tcf(c_6542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p1(X5)
| r1(X3,sK35(X3))
| ~ r1(sK23,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6541,c_91]) ).
tcf(c_6547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p1(X4)
| r1(X2,sK35(X2))
| ~ r1(sK24,X0)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6542,c_92]) ).
tcf(c_6586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| r1(X1,sK35(X1))
| ~ r1(sK25,X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6547,c_93]) ).
tcf(c_6602,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(X0,sK35(X0))
| ~ r1(sK26,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6586,c_94]) ).
tcf(c_6603,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| r1(sK27,sK35(sK27))
| ~ r1(sK27,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6602,c_95]) ).
tcf(c_6605,plain,
! [X0: $i] :
( p1(X0)
| r1(sK27,sK35(sK27))
| ~ r1(sK28,X0) ),
inference(resolution,[status(thm)],[c_6603,c_96]) ).
tcf(c_6646,plain,
( p1(sK34(sK28))
| r1(sK27,sK35(sK27)) ),
inference(resolution,[status(thm)],[c_6605,c_6395]) ).
tcf(c_6831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(X6)
| r1(X6,sK21(X6))
| ~ r1(sK22,X0)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_87,c_90]) ).
tcf(c_6847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(X5)
| r1(X5,sK21(X5))
| ~ r1(sK23,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6831,c_91]) ).
tcf(c_6848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X4)
| r1(X4,sK21(X4))
| ~ r1(sK24,X0)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6847,c_92]) ).
tcf(c_6864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X3)
| r1(X3,sK21(X3))
| ~ r1(sK25,X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6848,c_93]) ).
tcf(c_6865,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| r1(X2,sK21(X2))
| ~ r1(sK26,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6864,c_94]) ).
tcf(c_6866,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| r1(X1,sK21(X1))
| ~ r1(sK27,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_6865,c_95]) ).
tcf(c_6871,plain,
! [X0: $i] :
( sP0(X0)
| r1(X0,sK21(X0))
| ~ r1(sK28,X0) ),
inference(resolution,[status(thm)],[c_6866,c_96]) ).
tcf(c_6881,plain,
( sP0(sK29)
| r1(sK29,sK21(sK29)) ),
inference(resolution,[status(thm)],[c_6871,c_97]) ).
tcf(c_7014,plain,
( sP0(sK29)
| p1(sK21(sK29))
| r1(sK32(sK21(sK29)),sK33(sK21(sK29))) ),
inference(resolution,[status(thm)],[c_6881,c_103]) ).
tcf(c_7015,plain,
( sP0(sK29)
| p1(sK21(sK29))
| r1(sK21(sK29),sK32(sK21(sK29))) ),
inference(resolution,[status(thm)],[c_6881,c_102]) ).
tcf(c_7016,plain,
( sP0(sK29)
| p1(sK21(sK29))
| p1(sK32(sK21(sK29))) ),
inference(resolution,[status(thm)],[c_6881,c_105]) ).
tcf(c_7027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(sK29)
| p1(X0)
| p1(sK21(sK29))
| ~ r1(sK13,X1)
| ~ r1(X7,sK29)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ p1(sK32(sK21(sK29)))
| ~ r1(sK32(sK21(sK29)),X0) ),
inference(resolution,[status(thm)],[c_89,c_7015]) ).
tcf(c_7029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(sK29)
| p1(X0)
| p1(sK21(sK29))
| ~ r1(sK13,X1)
| ~ r1(X7,sK29)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK32(sK21(sK29)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_7027,c_7016,c_7027]) ).
tcf(c_7032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(sK29)
| p1(sK21(sK29))
| p1(sK33(sK21(sK29)))
| ~ r1(sK13,X0)
| ~ r1(X6,sK29)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_7029,c_7014]) ).
tcf(c_7072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(sK29)
| p1(sK21(sK29))
| p1(sK33(sK21(sK29)))
| ~ r1(sK22,X0)
| ~ r1(X5,sK29)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_7032,c_90]) ).
tcf(c_7097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sK29)
| p1(sK21(sK29))
| p1(sK33(sK21(sK29)))
| ~ r1(sK23,X0)
| ~ r1(X4,sK29)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_7072,c_91]) ).
tcf(c_7099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sK29)
| p1(sK21(sK29))
| p1(sK33(sK21(sK29)))
| ~ r1(sK24,X0)
| ~ r1(X3,sK29)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_7097,c_92]) ).
tcf(c_7101,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sK29)
| p1(sK21(sK29))
| p1(sK33(sK21(sK29)))
| ~ r1(sK25,X0)
| ~ r1(X2,sK29)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_7099,c_93]) ).
tcf(c_7103,plain,
! [X0: $i,X1: $i] :
( sP0(sK29)
| p1(sK21(sK29))
| p1(sK33(sK21(sK29)))
| ~ r1(sK26,X0)
| ~ r1(X1,sK29)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_7101,c_94]) ).
tcf(c_7105,plain,
! [X0: $i] :
( sP0(sK29)
| p1(sK21(sK29))
| p1(sK33(sK21(sK29)))
| ~ r1(sK27,X0)
| ~ r1(X0,sK29) ),
inference(resolution,[status(thm)],[c_7103,c_95]) ).
tcf(c_7107,plain,
( sP0(sK29)
| p1(sK21(sK29))
| p1(sK33(sK21(sK29)))
| ~ r1(sK28,sK29) ),
inference(resolution,[status(thm)],[c_7105,c_96]) ).
tcf(c_7108,plain,
( sP0(sK29)
| p1(sK34(sK28))
| p1(sK21(sK29))
| p1(sK33(sK21(sK29)))
| ~ r1(sK35(sK27),sK29) ),
inference(resolution,[status(thm)],[c_7105,c_6646]) ).
tcf(c_7110,plain,
( sP0(sK29)
| p1(sK33(sK21(sK29)))
| p1(sK21(sK29)) ),
inference(global_subsumption_just,[status(thm)],[c_7108,c_97,c_7107]) ).
tcf(c_7111,plain,
( sP0(sK29)
| p1(sK21(sK29))
| p1(sK33(sK21(sK29))) ),
inference(renaming,[status(thm)],[c_7110]) ).
tcf(c_7112,plain,
( sP0(sK29)
| p1(sK21(sK29))
| ~ r1(sK29,sK21(sK29)) ),
inference(resolution,[status(thm)],[c_104,c_7111]) ).
tcf(c_7113,plain,
( sP0(sK29)
| p1(sK21(sK29)) ),
inference(global_subsumption_just,[status(thm)],[c_7112,c_6881,c_7112]) ).
tcf(c_7115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(sK29)
| ~ r1(sK13,X0)
| ~ r1(X6,sK29)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_88,c_7113]) ).
tcf(c_7117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(sK29)
| ~ r1(sK22,X0)
| ~ r1(X5,sK29)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_7115,c_90]) ).
tcf(c_7119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sK29)
| ~ r1(sK23,X0)
| ~ r1(X4,sK29)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_7117,c_91]) ).
tcf(c_7121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sK29)
| ~ r1(sK24,X0)
| ~ r1(X3,sK29)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_7119,c_92]) ).
tcf(c_7123,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sK29)
| ~ r1(sK25,X0)
| ~ r1(X2,sK29)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_7121,c_93]) ).
tcf(c_7125,plain,
! [X0: $i,X1: $i] :
( sP0(sK29)
| ~ r1(sK26,X0)
| ~ r1(X1,sK29)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_7123,c_94]) ).
tcf(c_7127,plain,
! [X0: $i] :
( sP0(sK29)
| ~ r1(sK27,X0)
| ~ r1(X0,sK29) ),
inference(resolution,[status(thm)],[c_7125,c_95]) ).
tcf(c_7129,plain,
( sP0(sK29)
| ~ r1(sK28,sK29) ),
inference(resolution,[status(thm)],[c_7127,c_96]) ).
tcf(c_10063,plain,
( p1(sK29)
| r1(sK30,sK6(sK30))
| r1(sK29,sK7(sK29))
| ~ sP2(sK29) ),
inference(superposition,[status(thm)],[c_98,c_54]) ).
tcf(c_10064,plain,
( p1(sK29)
| r1(sK31,sK6(sK31))
| r1(sK29,sK7(sK29))
| ~ sP2(sK29) ),
inference(superposition,[status(thm)],[c_100,c_54]) ).
tcf(c_10476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP2(X6)
| ~ r1(sK22,X0)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_84,c_90]) ).
tcf(c_10481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP2(X5)
| ~ r1(sK23,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_10476,c_91]) ).
tcf(c_10490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP2(X4)
| ~ r1(sK24,X0)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_10481,c_92]) ).
tcf(c_10528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X3)
| ~ r1(sK25,X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_10490,c_93]) ).
tcf(c_10556,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X2)
| ~ r1(sK26,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_10528,c_94]) ).
tcf(c_10561,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ~ r1(sK27,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_10556,c_95]) ).
tcf(c_10602,plain,
! [X0: $i] :
( sP2(X0)
| ~ r1(sK28,X0) ),
inference(resolution,[status(thm)],[c_10561,c_96]) ).
tcf(c_10637,plain,
sP2(sK29),
inference(resolution,[status(thm)],[c_10602,c_97]) ).
tcf(c_10685,plain,
( p1(sK29)
| r1(sK31,sK6(sK31))
| r1(sK29,sK7(sK29))
| ~ sP2(sK29) ),
inference(resolution,[status(thm)],[c_54,c_100]) ).
tcf(c_11181,plain,
( p1(sK29)
| r1(sK31,sK6(sK31))
| r1(sK29,sK7(sK29)) ),
inference(global_subsumption_just,[status(thm)],[c_10685,c_3640,c_10637]) ).
tcf(c_11273,plain,
( p1(sK29)
| p1(sK6(sK31))
| r1(sK29,sK7(sK29)) ),
inference(resolution,[status(thm)],[c_101,c_11181]) ).
tcf(c_11274,plain,
( p1(sK29)
| r1(sK29,sK7(sK29)) ),
inference(global_subsumption_just,[status(thm)],[c_11273,c_4565,c_10637,c_11273]) ).
tcf(c_11283,plain,
( p1(sK29)
| p1(sK7(sK29))
| r1(sK32(sK7(sK29)),sK33(sK7(sK29))) ),
inference(resolution,[status(thm)],[c_11274,c_103]) ).
tcf(c_11284,plain,
( p1(sK29)
| p1(sK7(sK29))
| r1(sK7(sK29),sK32(sK7(sK29))) ),
inference(resolution,[status(thm)],[c_11274,c_102]) ).
tcf(c_11285,plain,
( p1(sK29)
| p1(sK7(sK29))
| p1(sK32(sK7(sK29))) ),
inference(resolution,[status(thm)],[c_11274,c_105]) ).
tcf(c_11461,plain,
! [X0: $i,X1: $i] :
( p1(sK29)
| p1(X0)
| p1(sK7(sK29))
| r1(X1,sK6(X1))
| ~ sP2(sK29)
| ~ r1(sK29,X1)
| ~ p1(sK32(sK7(sK29)))
| ~ r1(sK32(sK7(sK29)),X0) ),
inference(resolution,[status(thm)],[c_56,c_11284]) ).
tcf(c_11483,plain,
! [X0: $i,X1: $i] :
( p1(sK29)
| p1(X0)
| p1(sK7(sK29))
| r1(X1,sK6(X1))
| ~ r1(sK32(sK7(sK29)),X0)
| ~ r1(sK29,X1) ),
inference(global_subsumption_just,[status(thm)],[c_11461,c_10637,c_11285,c_11461]) ).
tcf(c_11484,plain,
! [X0: $i,X1: $i] :
( p1(sK29)
| p1(X0)
| p1(sK7(sK29))
| r1(X1,sK6(X1))
| ~ r1(sK29,X1)
| ~ r1(sK32(sK7(sK29)),X0) ),
inference(renaming,[status(thm)],[c_11483]) ).
tcf(c_11486,plain,
! [X0: $i] :
( p1(sK29)
| p1(sK7(sK29))
| p1(sK33(sK7(sK29)))
| r1(X0,sK6(X0))
| ~ r1(sK29,X0) ),
inference(resolution,[status(thm)],[c_11484,c_11283]) ).
tcf(c_11489,plain,
( p1(sK29)
| p1(sK7(sK29))
| p1(sK33(sK7(sK29)))
| r1(sK31,sK6(sK31)) ),
inference(resolution,[status(thm)],[c_11486,c_100]) ).
tcf(c_12001,plain,
( p1(sK29)
| r1(sK31,sK6(sK31))
| p1(sK33(sK7(sK29))) ),
inference(global_subsumption_just,[status(thm)],[c_11489,c_4506,c_10637,c_11489]) ).
tcf(c_12002,plain,
( p1(sK29)
| p1(sK33(sK7(sK29)))
| r1(sK31,sK6(sK31)) ),
inference(renaming,[status(thm)],[c_12001]) ).
tcf(c_12010,plain,
( p1(sK29)
| p1(sK6(sK31))
| p1(sK33(sK7(sK29))) ),
inference(resolution,[status(thm)],[c_12002,c_101]) ).
tcf(c_12014,plain,
( p1(sK29)
| p1(sK7(sK29))
| p1(sK6(sK31))
| ~ r1(sK29,sK7(sK29)) ),
inference(resolution,[status(thm)],[c_12010,c_104]) ).
tcf(c_12018,plain,
( p1(sK29)
| p1(sK7(sK29))
| p1(sK6(sK31)) ),
inference(global_subsumption_just,[status(thm)],[c_12014,c_11274,c_12014]) ).
tcf(c_12023,plain,
! [X0: $i] :
( p1(sK29)
| p1(sK6(sK31))
| r1(X0,sK6(X0))
| ~ sP2(sK29)
| ~ r1(sK29,X0) ),
inference(resolution,[status(thm)],[c_55,c_12018]) ).
tcf(c_12028,plain,
! [X0: $i] :
( p1(sK29)
| p1(sK6(sK31))
| r1(X0,sK6(X0))
| ~ r1(sK29,X0) ),
inference(global_subsumption_just,[status(thm)],[c_12023,c_10637,c_12023]) ).
tcf(c_12072,plain,
( p1(sK29)
| p1(sK6(sK31))
| r1(sK7(sK29),sK6(sK7(sK29))) ),
inference(resolution,[status(thm)],[c_12028,c_11274]) ).
tcf(c_12085,plain,
( p1(sK29)
| r1(sK29,sK7(sK29)) ),
inference(global_subsumption_just,[status(thm)],[c_10063,c_4565,c_10637,c_11273]) ).
tcf(c_12115,plain,
( p1(sK29)
| ~ sP2(sK29)
| ~ p1(sK7(sK29))
| ~ p1(sK6(sK7(sK29))) ),
inference(superposition,[status(thm)],[c_12085,c_58]) ).
tcf(c_12132,plain,
( p1(sK29)
| p1(sK7(sK29))
| ~ p1(sK33(sK7(sK29))) ),
inference(superposition,[status(thm)],[c_12085,c_104]) ).
tcf(c_12209,plain,
( p1(sK29)
| r1(sK31,sK6(sK31)) ),
inference(global_subsumption_just,[status(thm)],[c_10064,c_4506,c_10637,c_12002,c_12132]) ).
tcf(c_12256,plain,
( p1(sK29)
| p1(sK6(sK31)) ),
inference(superposition,[status(thm)],[c_12209,c_101]) ).
tcf(c_12308,plain,
! [X0: $i,X1: $i] :
( p1(sK29)
| p1(X0)
| p1(sK7(sK29))
| ~ sP2(sK29)
| ~ p1(sK6(X1))
| ~ r1(sK29,X1)
| ~ p1(sK32(sK7(sK29)))
| ~ r1(sK32(sK7(sK29)),X0) ),
inference(resolution,[status(thm)],[c_59,c_11284]) ).
tcf(c_12322,plain,
! [X0: $i,X1: $i] :
( p1(sK29)
| p1(X0)
| ~ p1(sK6(X1))
| ~ r1(sK29,X1)
| ~ r1(sK32(sK7(sK29)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_12308,c_4583,c_10637,c_11285,c_12256,c_12308]) ).
tcf(c_12335,plain,
! [X0: $i] :
( p1(sK29)
| p1(sK7(sK29))
| p1(sK33(sK7(sK29)))
| ~ p1(sK6(X0))
| ~ r1(sK29,X0) ),
inference(resolution,[status(thm)],[c_12322,c_11283]) ).
tcf(c_12339,plain,
! [X0: $i] :
( p1(sK29)
| ~ p1(sK6(X0))
| ~ r1(sK29,X0) ),
inference(global_subsumption_just,[status(thm)],[c_12335,c_4583,c_10637,c_12132,c_12256,c_12335]) ).
tcf(c_13443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP3(X6)
| ~ r1(sK22,X0)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_83,c_90]) ).
tcf(c_13449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP3(X5)
| ~ r1(sK23,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_13443,c_91]) ).
tcf(c_13462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP3(X4)
| ~ r1(sK24,X0)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_13449,c_92]) ).
tcf(c_13473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP3(X3)
| ~ r1(sK25,X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_13462,c_93]) ).
tcf(c_13567,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3(X2)
| ~ r1(sK26,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_13473,c_94]) ).
tcf(c_13580,plain,
! [X0: $i,X1: $i] :
( sP3(X1)
| ~ r1(sK27,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_13567,c_95]) ).
tcf(c_13587,plain,
! [X0: $i] :
( sP3(X0)
| ~ r1(sK28,X0) ),
inference(resolution,[status(thm)],[c_13580,c_96]) ).
tcf(c_13598,plain,
sP3(sK29),
inference(resolution,[status(thm)],[c_13587,c_97]) ).
tcf(c_13626,plain,
! [X0: $i] :
( sP1(sK29)
| p1(X0)
| r1(sK4(sK31),sK5(sK31))
| ~ sP3(sK29)
| ~ p1(sK29)
| ~ r1(sK29,X0) ),
inference(resolution,[status(thm)],[c_51,c_100]) ).
tcf(c_14149,plain,
! [X0: $i] :
( sP1(sK29)
| p1(X0)
| r1(sK31,sK4(sK31))
| ~ sP3(sK29)
| ~ p1(sK29)
| ~ r1(sK29,X0) ),
inference(resolution,[status(thm)],[c_50,c_100]) ).
fof(f8,definition,
! [X95] :
( ~ sP0(X95)
| ! [X115] :
( ! [X116] :
( ? [X117] :
( p1(X117)
& ? [X118] :
( ~ p1(X118)
& r1(X117,X118) )
& r1(X116,X117) )
| p1(X116)
| ~ r1(X115,X116) )
| ~ r1(X95,X115) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [X95] :
( ~ sP1(X95)
| ? [X100] :
( ! [X102] :
( ( p1(X102)
& ? [X105] :
( ~ p1(X105)
& r1(X102,X105) ) )
| ! [X103] :
( ~ p1(X103)
| ! [X104] :
( p1(X104)
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X100,X102) )
& p1(X100)
& ? [X101] :
( ~ p1(X101)
& r1(X100,X101) )
& r1(X95,X100) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X95] :
( ~ sP2(X95)
| ? [X108] :
( ! [X109] :
( ~ p1(X109)
| ! [X110] :
( p1(X110)
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
& ~ p1(X108)
& r1(X95,X108) )
| ! [X106] :
( ? [X107] :
( ~ p1(X107)
& r1(X106,X107) )
| ~ r1(X95,X106) )
| p1(X95) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X95] :
( ~ sP3(X95)
| sP1(X95)
| ! [X97] :
( ? [X98] :
( p1(X98)
& ? [X99] :
( ~ p1(X99)
& r1(X98,X99) )
& r1(X97,X98) )
| ~ r1(X95,X97) )
| ~ p1(X95)
| ! [X96] :
( p1(X96)
| ~ r1(X95,X96) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f12,plain,
? [X0] :
( ! [X181] :
( ? [X184] :
( ~ p1(X184)
& r1(X181,X184) )
| ! [X182] :
( ! [X183] :
( p1(X183)
| ~ r1(X182,X183) )
| ~ r1(X181,X182) )
| ~ r1(X0,X181) )
& ! [X176] :
( ! [X177] :
( ? [X180] :
( ~ p1(X180)
& r1(X177,X180) )
| ! [X178] :
( ! [X179] :
( p1(X179)
| ~ r1(X178,X179) )
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
| ~ r1(X0,X176) )
& ! [X170] :
( ! [X171] :
( ! [X172] :
( ? [X175] :
( ~ p1(X175)
& r1(X172,X175) )
| ! [X173] :
( ! [X174] :
( p1(X174)
| ~ r1(X173,X174) )
| ~ r1(X172,X173) )
| ~ r1(X171,X172) )
| ~ r1(X170,X171) )
| ~ r1(X0,X170) )
& ! [X163] :
( ! [X164] :
( ! [X165] :
( ! [X166] :
( ? [X169] :
( ~ p1(X169)
& r1(X166,X169) )
| ! [X167] :
( ! [X168] :
( p1(X168)
| ~ r1(X167,X168) )
| ~ r1(X166,X167) )
| ~ r1(X165,X166) )
| ~ r1(X164,X165) )
| ~ r1(X163,X164) )
| ~ r1(X0,X163) )
& ! [X155] :
( ! [X156] :
( ! [X157] :
( ! [X158] :
( ! [X159] :
( ? [X162] :
( ~ p1(X162)
& r1(X159,X162) )
| ! [X160] :
( ! [X161] :
( p1(X161)
| ~ r1(X160,X161) )
| ~ r1(X159,X160) )
| ~ r1(X158,X159) )
| ~ r1(X157,X158) )
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
| ~ r1(X0,X155) )
& ! [X146] :
( ! [X147] :
( ! [X148] :
( ! [X149] :
( ! [X150] :
( ! [X151] :
( ? [X154] :
( ~ p1(X154)
& r1(X151,X154) )
| ! [X152] :
( ! [X153] :
( p1(X153)
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| ~ r1(X146,X147) )
| ~ r1(X0,X146) )
& ! [X136] :
( ! [X137] :
( ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ? [X145] :
( ~ p1(X145)
& r1(X142,X145) )
| ! [X143] :
( ! [X144] :
( p1(X144)
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X137,X138) )
| ~ r1(X136,X137) )
| ~ r1(X0,X136) )
& ? [X122] :
( ? [X123] :
( ? [X124] :
( ? [X125] :
( ? [X126] :
( ? [X127] :
( ? [X128] :
( ? [X129] :
( ! [X133] :
( ? [X134] :
( p1(X134)
& ? [X135] :
( ~ p1(X135)
& r1(X134,X135) )
& r1(X133,X134) )
| p1(X133)
| ~ r1(X129,X133) )
& ? [X131] :
( ! [X132] :
( p1(X132)
| ~ r1(X131,X132) )
& r1(X129,X131) )
& ? [X130] :
( ~ p1(X130)
& r1(X129,X130) )
& r1(X128,X129) )
& r1(X127,X128) )
& r1(X126,X127) )
& r1(X125,X126) )
& r1(X124,X125) )
& r1(X123,X124) )
& r1(X122,X123) )
& r1(X0,X122) )
& ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ( ( ? [X119] :
( ! [X120] :
( ~ p1(X120)
| ! [X121] :
( p1(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p1(X119)
& r1(X95,X119) )
| sP0(X95) )
& ! [X111] :
( ? [X114] :
( ~ p1(X114)
& r1(X111,X114) )
| ! [X112] :
( ! [X113] :
( p1(X113)
| ~ r1(X112,X113) )
| ~ r1(X111,X112) )
| ~ r1(X95,X111) )
& sP2(X95)
& sP3(X95) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X0,X88) )
& ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ? [X87] :
( ~ p1(X87)
& r1(X84,X87) )
| ! [X85] :
( ! [X86] :
( p1(X86)
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X0,X76) )
& ! [X63] :
( ! [X64] :
( ! [X65] :
( ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ? [X75] :
( ~ p1(X75)
& r1(X72,X75) )
| ! [X73] :
( ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
& ! [X49] :
( ! [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ? [X62] :
( ~ p1(X62)
& r1(X59,X62) )
| ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X0,X49) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ! [X45] :
( ? [X48] :
( ~ p1(X48)
& r1(X45,X48) )
| ! [X46] :
( ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
& ! [X18] :
( ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ! [X29] :
( ! [X30] :
( ? [X33] :
( ~ p1(X33)
& r1(X30,X33) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ? [X17] :
( ~ p1(X17)
& r1(X14,X17) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(definition_folding,[],[f7,f11,f10,f9,f8]) ).
fof(f22,plain,
! [X95] :
( ~ sP0(X95)
| ! [X115] :
( ! [X116] :
( ? [X117] :
( p1(X117)
& ? [X118] :
( ~ p1(X118)
& r1(X117,X118) )
& r1(X116,X117) )
| p1(X116)
| ~ r1(X115,X116) )
| ~ r1(X95,X115) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f23,plain,
! [X0] :
( ~ sP0(X0)
| ! [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0] :
( ~ sP0(X0)
| ! [X1] :
( ! [X2] :
( ( p1(sK11(X2))
& ~ p1(sK12(X2))
& r1(sK11(X2),sK12(X2))
& r1(X2,sK11(X2)) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X3,sK11(X2)),skolemize(X4,sK12(X2))],[f23]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p1(sK11(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ p1(sK12(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| r1(sK11(X2),sK12(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| r1(X2,sK11(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(X2,sK11(X2))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(sK11(X2),sK12(X2))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| ~ sP0(X0)
| ~ p1(sK12(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| p1(sK11(X2))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_12076,plain,
! [X0: $i] :
( p1(sK29)
| p1(sK6(sK31))
| p1(sK6(sK7(sK29)))
| r1(sK11(sK6(sK7(sK29))),sK12(sK6(sK7(sK29))))
| ~ sP0(X0)
| ~ r1(X0,sK7(sK29)) ),
inference(resolution,[status(thm)],[c_12072,c_68]) ).
tcf(c_12169,plain,
! [X0: $i] :
( p1(sK29)
| p1(sK6(sK31))
| ~ r1(X0,sK7(sK29))
| ~ sP0(X0)
| r1(sK11(sK6(sK7(sK29))),sK12(sK6(sK7(sK29)))) ),
inference(global_subsumption_just,[status(thm)],[c_12076,c_10637,c_12018,c_12076,c_12115]) ).
tcf(c_12170,plain,
! [X0: $i] :
( p1(sK29)
| p1(sK6(sK31))
| r1(sK11(sK6(sK7(sK29))),sK12(sK6(sK7(sK29))))
| ~ sP0(X0)
| ~ r1(X0,sK7(sK29)) ),
inference(renaming,[status(thm)],[c_12169]) ).
tcf(c_12172,plain,
( p1(sK29)
| p1(sK6(sK31))
| r1(sK11(sK6(sK7(sK29))),sK12(sK6(sK7(sK29))))
| ~ sP0(sK29) ),
inference(resolution,[status(thm)],[c_12170,c_11274]) ).
tcf(c_12207,plain,
( p1(sK29)
| p1(sK6(sK31))
| r1(sK11(sK6(sK7(sK29))),sK12(sK6(sK7(sK29)))) ),
inference(global_subsumption_just,[status(thm)],[c_12172,c_97,c_7129,c_12172]) ).
tcf(c_12302,plain,
( p1(sK29)
| p1(sK6(sK31)) ),
inference(global_subsumption_just,[status(thm)],[c_12207,c_12256]) ).
tcf(c_12342,plain,
( p1(sK29)
| ~ r1(sK29,sK31) ),
inference(resolution,[status(thm)],[c_12339,c_12302]) ).
tcf(c_13945,plain,
( sP1(sK29)
| r1(sK4(sK31),sK5(sK31)) ),
inference(global_subsumption_just,[status(thm)],[c_13626,c_100,c_99,c_98,c_6214,c_12342,c_13598]) ).
tcf(c_14546,plain,
( sP1(sK29)
| r1(sK31,sK4(sK31)) ),
inference(global_subsumption_just,[status(thm)],[c_14149,c_100,c_99,c_98,c_6194,c_12342,c_13598]) ).
tcf(c_14560,plain,
! [X0: $i] :
( sP1(sK29)
| p1(X0)
| r1(sK31,sK20(sK31))
| ~ r1(sK4(sK31),X0) ),
inference(resolution,[status(thm)],[c_14546,c_5815]) ).
tcf(c_14929,plain,
( sP1(sK29)
| p1(sK5(sK31))
| r1(sK31,sK20(sK31)) ),
inference(resolution,[status(thm)],[c_14560,c_13945]) ).
tcf(c_14939,plain,
( sP1(sK29)
| p1(sK20(sK31))
| p1(sK5(sK31)) ),
inference(resolution,[status(thm)],[c_14929,c_101]) ).
tcf(c_15096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP1(sK29)
| p1(X9)
| p1(sK5(sK31))
| ~ r1(sK31,X8)
| ~ r1(sK13,X0)
| ~ r1(X7,sK31)
| ~ r1(X8,X9)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_86,c_14939]) ).
tcf(c_15111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP1(sK29)
| p1(X0)
| p1(sK5(sK31))
| ~ r1(sK13,X1)
| ~ r1(X8,sK31)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK4(sK31),X0) ),
inference(resolution,[status(thm)],[c_15096,c_14546]) ).
tcf(c_15264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP1(sK29)
| p1(sK5(sK31))
| ~ r1(sK13,X0)
| ~ r1(X7,sK31)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_15111,c_13945]) ).
tcf(c_15290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP1(sK29)
| p1(sK5(sK31))
| ~ r1(sK22,X0)
| ~ r1(X6,sK31)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_15264,c_90]) ).
tcf(c_15308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP1(sK29)
| p1(sK5(sK31))
| ~ r1(sK23,X0)
| ~ r1(X5,sK31)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_15290,c_91]) ).
tcf(c_15415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP1(sK29)
| p1(sK5(sK31))
| ~ r1(sK24,X0)
| ~ r1(X4,sK31)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_15308,c_92]) ).
tcf(c_15441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP1(sK29)
| p1(sK5(sK31))
| ~ r1(sK25,X0)
| ~ r1(X3,sK31)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_15415,c_93]) ).
tcf(c_15463,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(sK29)
| p1(sK5(sK31))
| ~ r1(sK26,X0)
| ~ r1(X2,sK31)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_15441,c_94]) ).
tcf(c_15572,plain,
! [X0: $i,X1: $i] :
( sP1(sK29)
| p1(sK5(sK31))
| ~ r1(sK27,X0)
| ~ r1(X1,sK31)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_15463,c_95]) ).
tcf(c_15602,plain,
! [X0: $i] :
( sP1(sK29)
| p1(sK5(sK31))
| ~ r1(sK28,X0)
| ~ r1(X0,sK31) ),
inference(resolution,[status(thm)],[c_15572,c_96]) ).
tcf(c_15619,plain,
( sP1(sK29)
| p1(sK5(sK31))
| ~ r1(sK29,sK31) ),
inference(resolution,[status(thm)],[c_15602,c_97]) ).
tcf(c_15620,plain,
( sP1(sK29)
| p1(sK5(sK31))
| ~ r1(sK34(sK28),sK31) ),
inference(resolution,[status(thm)],[c_15602,c_6395]) ).
tcf(c_15627,plain,
( sP1(sK29)
| p1(sK5(sK31)) ),
inference(global_subsumption_just,[status(thm)],[c_15620,c_100,c_15619]) ).
tcf(c_15636,plain,
! [X0: $i,X1: $i] :
( sP1(sK29)
| sP1(X0)
| p1(X1)
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,sK31)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_52,c_15627]) ).
tcf(c_15642,plain,
! [X0: $i] :
( sP1(sK29)
| p1(X0)
| ~ sP3(sK29)
| ~ p1(sK29)
| ~ r1(sK29,X0) ),
inference(resolution,[status(thm)],[c_15636,c_100]) ).
tcf(c_15655,plain,
! [X0: $i] :
( sP1(sK29)
| p1(X0)
| ~ r1(sK29,X0) ),
inference(global_subsumption_just,[status(thm)],[c_15642,c_100,c_12342,c_13598,c_15642]) ).
tcf(c_15744,plain,
( sP1(sK29)
| p1(sK30) ),
inference(resolution,[status(thm)],[c_15655,c_98]) ).
tcf(c_15753,plain,
sP1(sK29),
inference(global_subsumption_just,[status(thm)],[c_15744,c_99,c_15744]) ).
tcf(c_15759,plain,
r1(sK8(sK29),sK9(sK29)),
inference(resolution,[status(thm)],[c_61,c_15753]) ).
tcf(c_15765,plain,
! [X0: $i] :
( p1(sK9(sK29))
| r1(sK11(sK9(sK29)),sK12(sK9(sK29)))
| ~ sP0(X0)
| ~ r1(X0,sK8(sK29)) ),
inference(resolution,[status(thm)],[c_15759,c_68]) ).
tcf(c_15766,plain,
! [X0: $i] :
( p1(sK9(sK29))
| r1(sK9(sK29),sK11(sK9(sK29)))
| ~ sP0(X0)
| ~ r1(X0,sK8(sK29)) ),
inference(resolution,[status(thm)],[c_15759,c_67]) ).
tcf(c_15767,plain,
! [X0: $i] :
( p1(sK9(sK29))
| p1(sK11(sK9(sK29)))
| ~ sP0(X0)
| ~ r1(X0,sK8(sK29)) ),
inference(resolution,[status(thm)],[c_15759,c_70]) ).
tcf(c_15814,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| p1(sK9(sK29))
| ~ sP1(sK29)
| ~ p1(X0)
| ~ r1(X0,X1)
| ~ r1(sK9(sK29),X0) ),
inference(resolution,[status(thm)],[c_66,c_15759]) ).
tcf(c_15821,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| p1(sK9(sK29))
| ~ r1(sK9(sK29),X0)
| ~ r1(X0,X1)
| ~ p1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_15814,c_99,c_15744,c_15814]) ).
tcf(c_15822,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| p1(sK9(sK29))
| ~ p1(X0)
| ~ r1(X0,X1)
| ~ r1(sK9(sK29),X0) ),
inference(renaming,[status(thm)],[c_15821]) ).
tcf(c_15919,plain,
r1(sK29,sK8(sK29)),
inference(resolution,[status(thm)],[c_60,c_15753]) ).
tcf(c_15970,plain,
( p1(sK9(sK29))
| r1(sK11(sK9(sK29)),sK12(sK9(sK29)))
| ~ sP0(sK29) ),
inference(resolution,[status(thm)],[c_15765,c_15919]) ).
tcf(c_15971,plain,
( p1(sK9(sK29))
| r1(sK11(sK9(sK29)),sK12(sK9(sK29))) ),
inference(global_subsumption_just,[status(thm)],[c_15970,c_97,c_7129,c_15970]) ).
tcf(c_15979,plain,
! [X0: $i] :
( p1(X0)
| p1(sK9(sK29))
| sP1(sK11(sK9(sK29)))
| r1(sK4(sK12(sK9(sK29))),sK5(sK12(sK9(sK29))))
| ~ sP3(sK11(sK9(sK29)))
| ~ p1(sK11(sK9(sK29)))
| ~ r1(sK11(sK9(sK29)),X0) ),
inference(resolution,[status(thm)],[c_15971,c_51]) ).
tcf(c_16122,plain,
( p1(sK9(sK29))
| r1(sK9(sK29),sK11(sK9(sK29)))
| ~ sP0(sK29) ),
inference(resolution,[status(thm)],[c_15766,c_15919]) ).
tcf(c_16129,plain,
( p1(sK9(sK29))
| r1(sK9(sK29),sK11(sK9(sK29))) ),
inference(global_subsumption_just,[status(thm)],[c_16122,c_97,c_7129,c_16122]) ).
tcf(c_16188,plain,
! [X0: $i] :
( p1(X0)
| p1(sK9(sK29))
| ~ p1(sK11(sK9(sK29)))
| ~ r1(sK11(sK9(sK29)),X0) ),
inference(resolution,[status(thm)],[c_15822,c_16129]) ).
tcf(c_16275,plain,
( p1(sK9(sK29))
| p1(sK11(sK9(sK29)))
| ~ sP0(sK29) ),
inference(resolution,[status(thm)],[c_15767,c_15919]) ).
tcf(c_16276,plain,
( p1(sK9(sK29))
| p1(sK11(sK9(sK29))) ),
inference(global_subsumption_just,[status(thm)],[c_16275,c_97,c_7129,c_16275]) ).
tcf(c_16278,plain,
! [X0: $i] :
( p1(X0)
| p1(sK9(sK29))
| ~ r1(sK11(sK9(sK29)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_15979,c_16188,c_16276]) ).
tcf(c_16290,plain,
( p1(sK9(sK29))
| p1(sK12(sK9(sK29))) ),
inference(resolution,[status(thm)],[c_16278,c_15971]) ).
tcf(c_16294,plain,
! [X0: $i,X1: $i] :
( p1(sK9(sK29))
| ~ sP0(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK9(sK29)) ),
inference(resolution,[status(thm)],[c_69,c_16290]) ).
tcf(c_16445,plain,
! [X0: $i] :
( p1(sK9(sK29))
| ~ sP0(X0)
| ~ r1(X0,sK8(sK29)) ),
inference(resolution,[status(thm)],[c_16294,c_15759]) ).
tcf(c_16461,plain,
( p1(sK9(sK29))
| ~ sP0(sK29) ),
inference(resolution,[status(thm)],[c_16445,c_15919]) ).
tcf(c_16462,plain,
p1(sK9(sK29)),
inference(global_subsumption_just,[status(thm)],[c_16461,c_97,c_7129,c_16461]) ).
tcf(c_16464,plain,
~ sP1(sK29),
inference(resolution,[status(thm)],[c_62,c_16462]) ).
tcf(c_16465,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16464,c_15744,c_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL658+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 00:05:33 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.39 Running first-order theorem proving
% 0.08/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.40
% 0.08/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.40
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 70.20/10.43 % SZS status Started for theBenchmark.p
% 70.20/10.43 % SZS status Theorem for theBenchmark.p
% 70.20/10.43
% 70.20/10.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 70.20/10.43
% 70.20/10.43 % ------ iProver source info
% 70.20/10.43
% 70.20/10.43 % git: date: 2026-07-19 20:42:38 +0200
% 70.20/10.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 70.20/10.43 % git: non_committed_changes: false
% 70.20/10.43
% 70.20/10.43 % ------ Parsing...
% 70.20/10.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 70.20/10.43
% 70.20/10.43 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 70.20/10.43
% 70.20/10.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 70.20/10.43 % ------ Proving...
% 70.20/10.43 % ------ Problem Properties
% 70.20/10.43
% 70.20/10.43 %
% 70.20/10.43 % clauses 71
% 70.20/10.43 % conjectures 49
% 70.20/10.43 % EPR 15
% 70.20/10.43 % Horn 38
% 70.20/10.43 % unary 12
% 70.20/10.43 % binary 5
% 70.20/10.43 % lits 514
% 70.20/10.43 % lits eq 0
% 70.20/10.43 % fd_pure 0
% 70.20/10.43 % fd_pseudo 0
% 70.20/10.43 % fd_cond 0
% 70.20/10.43 % fd_pseudo_cond 0
% 70.20/10.43 % AC symbols 0
% 70.20/10.43
% 70.20/10.43 % ------ Input Options Time Limit: Unbounded
% 70.20/10.43
% 70.20/10.43
% 70.20/10.43 % ------
% 70.20/10.43 % Current options:
% 70.20/10.43 % ------
% 70.20/10.43
% 70.20/10.43
% 70.20/10.43 %
% 70.20/10.43
% 70.20/10.43 % ------ Proving...
% 70.20/10.43 %
% 70.20/10.43
% 70.20/10.43 % SZS status Theorem for theBenchmark.p
% 70.20/10.43
% 70.20/10.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 70.20/10.44
% 70.20/10.44
%------------------------------------------------------------------------------