%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG067+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 : Sun Sep 27 06:49:23 AM UTC 2026
% Result : Theorem 0.81s 6.30s
% Output : CNFRefutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 96
% Number of leaves : 20
% Syntax : Number of formulae : 490 ( 90 unt; 14 def)
% Number of atoms : 2786 (1804 equ)
% Maximal formula atoms : 250 ( 5 avg)
% Number of connectives : 2786 ( 490 ~;1921 |; 361 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('theBenchmark.p',ax1) ).
fof(ax3,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('theBenchmark.p',ax3) ).
fof(ax4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('theBenchmark.p',ax4) ).
fof(ax5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('theBenchmark.p',ax5) ).
fof(ax6,axiom,
( e3 = op(e2,e4)
& e1 = op(e4,e2)
& e0 = op(op(e4,e2),op(e4,e2)) ),
file('theBenchmark.p',ax6) ).
fof(co1,conjecture,
~ ( ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( op(e4,e4) = e4
| op(e4,e4) != e4 )
& ( op(e4,e3) = e4
| op(e4,e4) != e3 )
& ( op(e4,e2) = e4
| op(e4,e4) != e2 )
& ( op(e4,e1) = e4
| op(e4,e4) != e1 )
& ( op(e4,e0) = e4
| op(e4,e4) != e0 )
& ( op(e3,e4) = e3
| op(e3,e3) != e4 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e4) = e2
| op(e2,e2) != e4 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e4) = e1
| op(e1,e1) != e4 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e4) = e0
| op(e0,e0) != e4 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
file('theBenchmark.p',co1) ).
fof(co1_neg,negated_conjecture,
~ ~ ( ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( op(e4,e4) = e4
| op(e4,e4) != e4 )
& ( op(e4,e3) = e4
| op(e4,e4) != e3 )
& ( op(e4,e2) = e4
| op(e4,e4) != e2 )
& ( op(e4,e1) = e4
| op(e4,e4) != e1 )
& ( op(e4,e0) = e4
| op(e4,e4) != e0 )
& ( op(e3,e4) = e3
| op(e3,e3) != e4 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e4) = e2
| op(e2,e2) != e4 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e4) = e1
| op(e1,e1) != e4 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e4) = e0
| op(e0,e0) != e4 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
inference(assume_negation,[status(cth)],[co1]) ).
cnf(c_20,plain,
( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_32,plain,
( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_44,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_94,plain,
op(e1,e0) != op(e0,e0),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_95,plain,
op(e2,e0) != op(e0,e0),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_96,plain,
op(e0,e0) != op(e2,e0),
inference(copy,[status(thm)],[c_95]) ).
cnf(c_113,plain,
op(e1,e1) != op(e0,e1),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_133,plain,
op(e2,e2) != op(e0,e2),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_134,plain,
op(e0,e2) != op(e2,e2),
inference(copy,[status(thm)],[c_133]) ).
cnf(c_147,plain,
op(e4,e2) != op(e2,e2),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_148,plain,
op(e2,e2) != op(e4,e2),
inference(copy,[status(thm)],[c_147]) ).
cnf(c_154,plain,
op(e3,e3) != op(e0,e3),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_155,plain,
op(e0,e3) != op(e3,e3),
inference(copy,[status(thm)],[c_154]) ).
cnf(c_175,plain,
op(e4,e4) != op(e0,e4),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_176,plain,
op(e0,e4) != op(e4,e4),
inference(copy,[status(thm)],[c_175]) ).
cnf(c_185,plain,
op(e4,e4) != op(e2,e4),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_186,plain,
op(e2,e4) != op(e4,e4),
inference(copy,[status(thm)],[c_185]) ).
cnf(c_242,plain,
op(e2,e4) != op(e2,e2),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_243,plain,
op(e2,e2) != op(e2,e4),
inference(copy,[status(thm)],[c_242]) ).
cnf(c_280,plain,
op(e4,e4) != op(e4,e2),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_281,plain,
op(e4,e2) != op(e4,e4),
inference(copy,[status(thm)],[c_280]) ).
cnf(c_287,plain,
e3 != e0,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_288,plain,
e0 != e3,
inference(copy,[status(thm)],[c_287]) ).
cnf(c_289,plain,
e4 != e0,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_290,plain,
e0 != e4,
inference(copy,[status(thm)],[c_289]) ).
cnf(c_295,plain,
e4 != e1,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_296,plain,
e1 != e4,
inference(copy,[status(thm)],[c_295]) ).
cnf(c_297,plain,
e3 != e2,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_298,plain,
e2 != e3,
inference(copy,[status(thm)],[c_297]) ).
cnf(c_303,plain,
op(op(e4,e2),op(e4,e2)) = e0,
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_304,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(copy,[status(thm)],[c_303]) ).
cnf(c_305,plain,
op(e4,e2) = e1,
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_306,plain,
e1 = op(e4,e2),
inference(copy,[status(thm)],[c_305]) ).
cnf(c_307,plain,
op(e2,e4) = e3,
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_308,plain,
e3 = op(e2,e4),
inference(copy,[status(thm)],[c_307]) ).
cnf(c_311,negated_conjecture,
( op(e0,e2) = e0
| op(e0,e0) != e2 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1336,negated_conjecture,
( op(e0,e2) = e0
| op(op(op(e4,e2),op(e4,e2)),e0) != e2 ),
inference(paramod,[status(thm)],[c_304,c_311]) ).
cnf(c_1337,negated_conjecture,
( op(e0,e2) = e0
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) != e2 ),
inference(paramod,[status(thm)],[c_304,c_1336]) ).
cnf(c_1338,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e2) = e0
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) != e2 ),
inference(paramod,[status(thm)],[c_304,c_1337]) ).
cnf(c_312,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) != e2 ),
inference(paramod,[status(thm)],[c_304,c_1338]) ).
cnf(c_313,negated_conjecture,
( op(e0,e3) = e0
| op(e0,e0) != e3 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1339,negated_conjecture,
( op(e0,e3) = e0
| op(op(op(e4,e2),op(e4,e2)),e0) != e3 ),
inference(paramod,[status(thm)],[c_304,c_313]) ).
cnf(c_1340,negated_conjecture,
( op(e0,e3) = e0
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) != e3 ),
inference(paramod,[status(thm)],[c_304,c_1339]) ).
cnf(c_1341,negated_conjecture,
( op(e0,e3) = e0
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) != op(e2,e4) ),
inference(paramod,[status(thm)],[c_308,c_1340]) ).
cnf(c_1342,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e3) = e0
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) != op(e2,e4) ),
inference(paramod,[status(thm)],[c_304,c_1341]) ).
cnf(c_1343,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = e0
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) != op(e2,e4) ),
inference(paramod,[status(thm)],[c_308,c_1342]) ).
cnf(c_314,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) != op(e2,e4) ),
inference(paramod,[status(thm)],[c_304,c_1343]) ).
cnf(c_315,negated_conjecture,
( op(e0,e4) = e0
| op(e0,e0) != e4 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1344,negated_conjecture,
( op(e0,e4) = e0
| op(op(op(e4,e2),op(e4,e2)),e0) != e4 ),
inference(paramod,[status(thm)],[c_304,c_315]) ).
cnf(c_1345,negated_conjecture,
( op(e0,e4) = e0
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) != e4 ),
inference(paramod,[status(thm)],[c_304,c_1344]) ).
cnf(c_1346,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e4) = e0
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) != e4 ),
inference(paramod,[status(thm)],[c_304,c_1345]) ).
cnf(c_316,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e4) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) != e4 ),
inference(paramod,[status(thm)],[c_304,c_1346]) ).
cnf(c_317,negated_conjecture,
( op(e1,e0) = e1
| op(e1,e1) != e0 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1347,negated_conjecture,
( op(e1,e0) = e1
| op(op(e4,e2),e1) != e0 ),
inference(paramod,[status(thm)],[c_306,c_317]) ).
cnf(c_1348,negated_conjecture,
( op(e1,e0) = e1
| op(op(e4,e2),op(e4,e2)) != e0 ),
inference(paramod,[status(thm)],[c_306,c_1347]) ).
cnf(c_1349,negated_conjecture,
( op(e1,e0) = e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1348]) ).
cnf(c_1350,negated_conjecture,
( op(op(e4,e2),e0) = e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_306,c_1349]) ).
cnf(c_1351,negated_conjecture,
( op(op(e4,e2),op(op(e4,e2),op(e4,e2))) = e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1350]) ).
cnf(c_1352,negated_conjecture,
( op(op(e4,e2),op(op(e4,e2),op(e4,e2))) = op(e4,e2)
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_306,c_1351]) ).
cnf(c_318,negated_conjecture,
op(op(e4,e2),op(op(e4,e2),op(e4,e2))) = op(e4,e2),
inference(copy,[status(thm)],[c_1352]) ).
cnf(c_325,negated_conjecture,
( op(e2,e0) = e2
| op(e2,e2) != e0 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1353,negated_conjecture,
( op(e2,e0) = e2
| op(e2,e2) != op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_325]) ).
cnf(c_1354,negated_conjecture,
( op(e2,op(op(e4,e2),op(e4,e2))) = e2
| op(e2,e2) != op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1353]) ).
cnf(c_326,negated_conjecture,
( op(e2,op(op(e4,e2),op(e4,e2))) = e2
| op(op(e4,e2),op(e4,e2)) != op(e2,e2) ),
inference(copy,[status(thm)],[c_1354]) ).
cnf(c_329,negated_conjecture,
( op(e2,e4) = e2
| op(e2,e2) != e4 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_330,negated_conjecture,
( op(e3,e0) = e3
| op(e3,e3) != e0 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1355,negated_conjecture,
( op(e3,e0) = e3
| op(op(e2,e4),e3) != e0 ),
inference(paramod,[status(thm)],[c_308,c_330]) ).
cnf(c_1356,negated_conjecture,
( op(e3,e0) = e3
| op(op(e2,e4),op(e2,e4)) != e0 ),
inference(paramod,[status(thm)],[c_308,c_1355]) ).
cnf(c_1357,negated_conjecture,
( op(e3,e0) = e3
| op(op(e2,e4),op(e2,e4)) != op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1356]) ).
cnf(c_1358,negated_conjecture,
( op(op(e2,e4),e0) = e3
| op(op(e2,e4),op(e2,e4)) != op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_308,c_1357]) ).
cnf(c_1359,negated_conjecture,
( op(op(e2,e4),op(op(e4,e2),op(e4,e2))) = e3
| op(op(e2,e4),op(e2,e4)) != op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1358]) ).
cnf(c_331,negated_conjecture,
( op(op(e2,e4),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e2,e4),op(e2,e4)) != op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_308,c_1359]) ).
cnf(c_338,negated_conjecture,
( op(e4,e0) = e4
| op(e4,e4) != e0 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1360,negated_conjecture,
( op(e4,e0) = e4
| op(e4,e4) != op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_338]) ).
cnf(c_1361,negated_conjecture,
( op(e4,op(op(e4,e2),op(e4,e2))) = e4
| op(e4,e4) != op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1360]) ).
cnf(c_339,negated_conjecture,
( op(e4,op(op(e4,e2),op(e4,e2))) = e4
| op(op(e4,e2),op(e4,e2)) != op(e4,e4) ),
inference(copy,[status(thm)],[c_1361]) ).
cnf(c_341,negated_conjecture,
( op(e4,e2) = e4
| op(e4,e4) != e2 ),
inference(clausify,[status(thm)],[co1_neg]) ).
fof(def_defn_00,definition,
( defn_00
<=> ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 ) ),
introduced(definition,[new_symbols(definition,[defn_00])],[]) ).
fof(def_defn_10,definition,
( defn_10
<=> ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 ) ),
introduced(definition,[new_symbols(definition,[defn_10])],[]) ).
fof(def_defn_20,definition,
( defn_20
<=> ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 ) ),
introduced(definition,[new_symbols(definition,[defn_20])],[]) ).
fof(def_defn_30,definition,
( defn_30
<=> ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 ) ),
introduced(definition,[new_symbols(definition,[defn_30])],[]) ).
fof(def_defn_40,definition,
( defn_40
<=> ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 ) ),
introduced(definition,[new_symbols(definition,[defn_40])],[]) ).
fof(def_defn_50,definition,
( defn_50
<=> ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 ) ),
introduced(definition,[new_symbols(definition,[defn_50])],[]) ).
fof(def_defn_60,definition,
( defn_60
<=> ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 ) ),
introduced(definition,[new_symbols(definition,[defn_60])],[]) ).
fof(def_defn_70,definition,
( defn_70
<=> ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 ) ),
introduced(definition,[new_symbols(definition,[defn_70])],[]) ).
fof(def_defn_80,definition,
( defn_80
<=> ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ),
introduced(definition,[new_symbols(definition,[defn_80])],[]) ).
fof(def_defn_90,definition,
( defn_90
<=> ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 ) ),
introduced(definition,[new_symbols(definition,[defn_90])],[]) ).
fof(def_defn_100,definition,
( defn_100
<=> ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 ) ),
introduced(definition,[new_symbols(definition,[defn_100])],[]) ).
fof(def_defn_110,definition,
( defn_110
<=> ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 ) ),
introduced(definition,[new_symbols(definition,[defn_110])],[]) ).
fof(def_defn_120,definition,
( defn_120
<=> ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 ) ),
introduced(definition,[new_symbols(definition,[defn_120])],[]) ).
fof(def_defn_130,definition,
( defn_130
<=> ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 ) ),
introduced(definition,[new_symbols(definition,[defn_130])],[]) ).
cnf(c_478,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e2,e2) = e3
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_00,def_defn_10,def_defn_20,def_defn_30,def_defn_40,def_defn_50,def_defn_60,def_defn_70,def_defn_80,def_defn_90,def_defn_100,def_defn_110,def_defn_120,def_defn_130]) ).
cnf(c_1362,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_308,c_478]) ).
cnf(c_1363,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0
| op(e4,e4) = op(e2,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_308,c_1362]) ).
cnf(c_1364,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = op(op(e4,e2),op(e4,e2))
| op(e4,e4) = op(e2,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_304,c_1363]) ).
cnf(c_1365,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = op(e4,e2)
| op(e4,e4) = op(op(e4,e2),op(e4,e2))
| op(e4,e4) = op(e2,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_306,c_1364]) ).
cnf(c_1366,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = op(e4,e2)
| op(e4,e4) = op(op(e4,e2),op(e4,e2))
| op(e2,e4) = op(e4,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(copy,[status(thm)],[c_1365]) ).
cnf(c_1367,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = op(e4,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| op(e2,e4) = op(e4,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(copy,[status(thm)],[c_1366]) ).
cnf(c_1368,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e2) = op(e4,e4)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| op(e2,e4) = op(e4,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(copy,[status(thm)],[c_1367]) ).
cnf(c_1369,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e2) = op(e4,e4)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| op(e2,e4) = op(e4,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_243,c_1368]) ).
cnf(c_1370,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e2) = op(e4,e4)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_186,c_1369]) ).
cnf(c_479,negated_conjecture,
( op(e4,e4) = e2
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_281,c_1370]) ).
cnf(c_490,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = e1
| op(e0,e0) = e4
| op(e4,e4) = e3
| op(e2,e2) = e3
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_00,def_defn_10,def_defn_20,def_defn_30,def_defn_40,def_defn_50,def_defn_60,def_defn_70,def_defn_80,def_defn_90,def_defn_100,def_defn_110,def_defn_120,def_defn_130]) ).
cnf(c_1371,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = e1
| op(e0,e0) = e4
| op(e4,e4) = e3
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_308,c_490]) ).
cnf(c_1372,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = e1
| op(e0,e0) = e4
| op(e4,e4) = op(e2,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_308,c_1371]) ).
cnf(c_1373,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = e1
| op(op(op(e4,e2),op(e4,e2)),e0) = e4
| op(e4,e4) = op(e2,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_304,c_1372]) ).
cnf(c_1374,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = e1
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| op(e4,e4) = op(e2,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_304,c_1373]) ).
cnf(c_1375,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = op(e4,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| op(e4,e4) = op(e2,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_306,c_1374]) ).
cnf(c_1376,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = op(e4,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| op(e2,e4) = op(e4,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(copy,[status(thm)],[c_1375]) ).
cnf(c_1377,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e2) = op(e4,e4)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| op(e2,e4) = op(e4,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(copy,[status(thm)],[c_1376]) ).
cnf(c_1378,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e2) = op(e4,e4)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| op(e2,e4) = op(e4,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_243,c_1377]) ).
cnf(c_1379,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e2) = op(e4,e4)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_186,c_1378]) ).
cnf(c_491,negated_conjecture,
( op(e4,e4) = e2
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_281,c_1379]) ).
cnf(c_502,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e0) != e4
| op(e4,e4) = e3
| op(e2,e2) = e3
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_00,def_defn_10,def_defn_20,def_defn_30,def_defn_40,def_defn_50,def_defn_60,def_defn_70,def_defn_80,def_defn_90,def_defn_100,def_defn_110,def_defn_120,def_defn_130]) ).
cnf(c_1380,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e0) != e4
| op(e4,e4) = e3
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_308,c_502]) ).
cnf(c_1381,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e0) != e4
| op(e4,e4) = op(e2,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_308,c_1380]) ).
cnf(c_1382,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| op(e4,e4) = op(e2,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_304,c_1381]) ).
cnf(c_1383,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = op(e4,e2)
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| op(e4,e4) = op(e2,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_306,c_1382]) ).
cnf(c_1384,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e4) = op(e4,e2)
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| op(e2,e4) = op(e4,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(copy,[status(thm)],[c_1383]) ).
cnf(c_1385,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e2) = op(e4,e4)
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| op(e2,e4) = op(e4,e4)
| op(e2,e2) = op(e2,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(copy,[status(thm)],[c_1384]) ).
cnf(c_1386,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e2) = op(e4,e4)
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| op(e2,e4) = op(e4,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_243,c_1385]) ).
cnf(c_1387,negated_conjecture,
( op(e4,e4) = e2
| op(e4,e2) = op(e4,e4)
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_186,c_1386]) ).
cnf(c_503,negated_conjecture,
( op(e4,e4) = e2
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_281,c_1387]) ).
cnf(c_624,negated_conjecture,
( op(e1,e1) = e3
| ~ defn_130 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_130]) ).
cnf(c_1388,negated_conjecture,
( op(op(e4,e2),e1) = e3
| ~ defn_130 ),
inference(paramod,[status(thm)],[c_306,c_624]) ).
cnf(c_1389,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = e3
| ~ defn_130 ),
inference(paramod,[status(thm)],[c_306,c_1388]) ).
cnf(c_625,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e4)
| ~ defn_130 ),
inference(paramod,[status(thm)],[c_308,c_1389]) ).
cnf(c_628,negated_conjecture,
( op(e3,e0) != e3
| ~ defn_120 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_120]) ).
cnf(c_1390,negated_conjecture,
( op(op(e2,e4),e0) != e3
| ~ defn_120 ),
inference(paramod,[status(thm)],[c_308,c_628]) ).
cnf(c_1391,negated_conjecture,
( op(op(e2,e4),op(op(e4,e2),op(e4,e2))) != e3
| ~ defn_120 ),
inference(paramod,[status(thm)],[c_304,c_1390]) ).
cnf(c_629,negated_conjecture,
( op(op(e2,e4),op(op(e4,e2),op(e4,e2))) != op(e2,e4)
| ~ defn_120 ),
inference(paramod,[status(thm)],[c_308,c_1391]) ).
cnf(c_630,negated_conjecture,
( op(e0,e0) = e3
| ~ defn_120 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_120]) ).
cnf(c_1392,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e0) = e3
| ~ defn_120 ),
inference(paramod,[status(thm)],[c_304,c_630]) ).
cnf(c_1393,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e3
| ~ defn_120 ),
inference(paramod,[status(thm)],[c_304,c_1392]) ).
cnf(c_631,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| ~ defn_120 ),
inference(paramod,[status(thm)],[c_308,c_1393]) ).
cnf(c_632,negated_conjecture,
( op(e3,e3) = e0
| ~ defn_120 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_120]) ).
cnf(c_1394,negated_conjecture,
( op(op(e2,e4),e3) = e0
| ~ defn_120 ),
inference(paramod,[status(thm)],[c_308,c_632]) ).
cnf(c_1395,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = e0
| ~ defn_120 ),
inference(paramod,[status(thm)],[c_308,c_1394]) ).
cnf(c_633,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| ~ defn_120 ),
inference(paramod,[status(thm)],[c_304,c_1395]) ).
cnf(c_635,negated_conjecture,
( op(e4,e4) = e2
| ~ defn_110 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_110]) ).
cnf(c_641,negated_conjecture,
( op(e2,e2) = e3
| ~ defn_100 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_100]) ).
cnf(c_1396,negated_conjecture,
( op(e2,e2) = op(e2,e4)
| ~ defn_100 ),
inference(paramod,[status(thm)],[c_308,c_641]) ).
cnf(c_642,negated_conjecture,
~ defn_100,
inference(resolve,[status(thm)],[c_243,c_1396]) ).
cnf(c_647,negated_conjecture,
( op(e2,e2) = e1
| ~ defn_90 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_90]) ).
cnf(c_1397,negated_conjecture,
( op(e2,e2) = op(e4,e2)
| ~ defn_90 ),
inference(paramod,[status(thm)],[c_306,c_647]) ).
cnf(c_648,negated_conjecture,
~ defn_90,
inference(resolve,[status(thm)],[c_148,c_1397]) ).
cnf(c_649,negated_conjecture,
( op(e2,e0) != e2
| ~ defn_80 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_80]) ).
cnf(c_650,negated_conjecture,
( op(e2,op(op(e4,e2),op(e4,e2))) != e2
| ~ defn_80 ),
inference(paramod,[status(thm)],[c_304,c_649]) ).
cnf(c_653,negated_conjecture,
( op(e2,e2) = e0
| ~ defn_80 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_80]) ).
cnf(c_1398,negated_conjecture,
( op(e2,e2) = op(op(e4,e2),op(e4,e2))
| ~ defn_80 ),
inference(paramod,[status(thm)],[c_304,c_653]) ).
cnf(c_654,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| ~ defn_80 ),
inference(copy,[status(thm)],[c_1398]) ).
cnf(c_657,negated_conjecture,
( op(e4,e4) = e1
| ~ defn_70 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_70]) ).
cnf(c_1399,negated_conjecture,
( op(e4,e4) = op(e4,e2)
| ~ defn_70 ),
inference(paramod,[status(thm)],[c_306,c_657]) ).
cnf(c_1400,negated_conjecture,
( op(e4,e2) = op(e4,e4)
| ~ defn_70 ),
inference(copy,[status(thm)],[c_1399]) ).
cnf(c_658,negated_conjecture,
~ defn_70,
inference(resolve,[status(thm)],[c_281,c_1400]) ).
cnf(c_664,negated_conjecture,
( op(e1,e1) = e3
| ~ defn_60 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_60]) ).
cnf(c_1401,negated_conjecture,
( op(op(e4,e2),e1) = e3
| ~ defn_60 ),
inference(paramod,[status(thm)],[c_306,c_664]) ).
cnf(c_1402,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = e3
| ~ defn_60 ),
inference(paramod,[status(thm)],[c_306,c_1401]) ).
cnf(c_665,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e4)
| ~ defn_60 ),
inference(paramod,[status(thm)],[c_308,c_1402]) ).
cnf(c_668,negated_conjecture,
( op(e2,e2) = e1
| ~ defn_50 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_50]) ).
cnf(c_1403,negated_conjecture,
( op(e2,e2) = op(e4,e2)
| ~ defn_50 ),
inference(paramod,[status(thm)],[c_306,c_668]) ).
cnf(c_669,negated_conjecture,
~ defn_50,
inference(resolve,[status(thm)],[c_148,c_1403]) ).
cnf(c_671,negated_conjecture,
( op(e1,e0) != e1
| ~ defn_40 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_40]) ).
cnf(c_1404,negated_conjecture,
( op(op(e4,e2),e0) != e1
| ~ defn_40 ),
inference(paramod,[status(thm)],[c_306,c_671]) ).
cnf(c_1405,negated_conjecture,
( op(op(e4,e2),op(op(e4,e2),op(e4,e2))) != e1
| ~ defn_40 ),
inference(paramod,[status(thm)],[c_304,c_1404]) ).
cnf(c_1406,negated_conjecture,
( op(e4,e2) != e1
| ~ defn_40 ),
inference(paramod,[status(thm)],[c_318,c_1405]) ).
cnf(c_1407,negated_conjecture,
( op(e4,e2) != op(e4,e2)
| ~ defn_40 ),
inference(paramod,[status(thm)],[c_306,c_1406]) ).
cnf(c_672,negated_conjecture,
~ defn_40,
inference(copy,[status(thm)],[c_1407]) ).
cnf(c_675,negated_conjecture,
( op(e0,e4) != e0
| ~ defn_30 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_30]) ).
cnf(c_1408,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e4) != e0
| ~ defn_30 ),
inference(paramod,[status(thm)],[c_304,c_675]) ).
cnf(c_676,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e4) != op(op(e4,e2),op(e4,e2))
| ~ defn_30 ),
inference(paramod,[status(thm)],[c_304,c_1408]) ).
cnf(c_677,negated_conjecture,
( op(e4,e4) = e0
| ~ defn_30 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_30]) ).
cnf(c_1409,negated_conjecture,
( op(e4,e4) = op(op(e4,e2),op(e4,e2))
| ~ defn_30 ),
inference(paramod,[status(thm)],[c_304,c_677]) ).
cnf(c_678,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| ~ defn_30 ),
inference(copy,[status(thm)],[c_1409]) ).
cnf(c_679,negated_conjecture,
( op(e0,e0) = e4
| ~ defn_30 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_30]) ).
cnf(c_1410,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e0) = e4
| ~ defn_30 ),
inference(paramod,[status(thm)],[c_304,c_679]) ).
cnf(c_680,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| ~ defn_30 ),
inference(paramod,[status(thm)],[c_304,c_1410]) ).
cnf(c_681,negated_conjecture,
( op(e0,e3) != e0
| ~ defn_20 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_20]) ).
cnf(c_1411,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e3) != e0
| ~ defn_20 ),
inference(paramod,[status(thm)],[c_304,c_681]) ).
cnf(c_1412,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) != e0
| ~ defn_20 ),
inference(paramod,[status(thm)],[c_308,c_1411]) ).
cnf(c_682,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) != op(op(e4,e2),op(e4,e2))
| ~ defn_20 ),
inference(paramod,[status(thm)],[c_304,c_1412]) ).
cnf(c_683,negated_conjecture,
( op(e3,e3) = e0
| ~ defn_20 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_20]) ).
cnf(c_1413,negated_conjecture,
( op(op(e2,e4),e3) = e0
| ~ defn_20 ),
inference(paramod,[status(thm)],[c_308,c_683]) ).
cnf(c_1414,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = e0
| ~ defn_20 ),
inference(paramod,[status(thm)],[c_308,c_1413]) ).
cnf(c_684,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| ~ defn_20 ),
inference(paramod,[status(thm)],[c_304,c_1414]) ).
cnf(c_685,negated_conjecture,
( op(e0,e0) = e3
| ~ defn_20 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_20]) ).
cnf(c_1415,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e0) = e3
| ~ defn_20 ),
inference(paramod,[status(thm)],[c_304,c_685]) ).
cnf(c_1416,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e3
| ~ defn_20 ),
inference(paramod,[status(thm)],[c_304,c_1415]) ).
cnf(c_686,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| ~ defn_20 ),
inference(paramod,[status(thm)],[c_308,c_1416]) ).
cnf(c_687,negated_conjecture,
( op(e0,e2) != e0
| ~ defn_10 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_10]) ).
cnf(c_1417,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e2) != e0
| ~ defn_10 ),
inference(paramod,[status(thm)],[c_304,c_687]) ).
cnf(c_688,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e2) != op(op(e4,e2),op(e4,e2))
| ~ defn_10 ),
inference(paramod,[status(thm)],[c_304,c_1417]) ).
cnf(c_689,negated_conjecture,
( op(e2,e2) = e0
| ~ defn_10 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_10]) ).
cnf(c_1418,negated_conjecture,
( op(e2,e2) = op(op(e4,e2),op(e4,e2))
| ~ defn_10 ),
inference(paramod,[status(thm)],[c_304,c_689]) ).
cnf(c_690,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| ~ defn_10 ),
inference(copy,[status(thm)],[c_1418]) ).
cnf(c_691,negated_conjecture,
( op(e0,e0) = e2
| ~ defn_10 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_10]) ).
cnf(c_1419,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e0) = e2
| ~ defn_10 ),
inference(paramod,[status(thm)],[c_304,c_691]) ).
cnf(c_692,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e2
| ~ defn_10 ),
inference(paramod,[status(thm)],[c_304,c_1419]) ).
cnf(c_696,negated_conjecture,
( op(e0,e0) = e1
| ~ defn_00 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_00]) ).
cnf(c_1420,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e0) = e1
| ~ defn_00 ),
inference(paramod,[status(thm)],[c_304,c_696]) ).
cnf(c_1421,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e1
| ~ defn_00 ),
inference(paramod,[status(thm)],[c_304,c_1420]) ).
cnf(c_697,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e4,e2)
| ~ defn_00 ),
inference(paramod,[status(thm)],[c_306,c_1421]) ).
cnf(c_698,plain,
op(op(e4,e2),op(e4,e2)) != e4,
inference(paramod,[status(thm)],[c_304,c_290]) ).
cnf(c_1422,plain,
op(op(e4,e2),op(e4,e2)) != e3,
inference(paramod,[status(thm)],[c_304,c_288]) ).
cnf(c_699,plain,
op(op(e4,e2),op(e4,e2)) != op(e2,e4),
inference(paramod,[status(thm)],[c_308,c_1422]) ).
cnf(c_727,plain,
op(op(op(e4,e2),op(e4,e2)),e4) != op(e4,e4),
inference(paramod,[status(thm)],[c_304,c_176]) ).
cnf(c_1423,plain,
op(op(op(e4,e2),op(e4,e2)),e3) != op(e3,e3),
inference(paramod,[status(thm)],[c_304,c_155]) ).
cnf(c_1424,plain,
op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) != op(e3,e3),
inference(paramod,[status(thm)],[c_308,c_1423]) ).
cnf(c_1425,plain,
op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) != op(op(e2,e4),e3),
inference(paramod,[status(thm)],[c_308,c_1424]) ).
cnf(c_732,plain,
op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) != op(op(e2,e4),op(e2,e4)),
inference(paramod,[status(thm)],[c_308,c_1425]) ).
cnf(c_737,plain,
op(op(op(e4,e2),op(e4,e2)),e2) != op(e2,e2),
inference(paramod,[status(thm)],[c_304,c_134]) ).
cnf(c_1426,plain,
op(op(e4,e2),e1) != op(e0,e1),
inference(paramod,[status(thm)],[c_306,c_113]) ).
cnf(c_1427,plain,
op(op(e4,e2),op(e4,e2)) != op(e0,e1),
inference(paramod,[status(thm)],[c_306,c_1426]) ).
cnf(c_1428,plain,
op(op(e4,e2),op(e4,e2)) != op(op(op(e4,e2),op(e4,e2)),e1),
inference(paramod,[status(thm)],[c_304,c_1427]) ).
cnf(c_1429,plain,
op(op(e4,e2),op(e4,e2)) != op(op(op(e4,e2),op(e4,e2)),op(e4,e2)),
inference(paramod,[status(thm)],[c_306,c_1428]) ).
cnf(c_742,plain,
op(op(op(e4,e2),op(e4,e2)),op(e4,e2)) != op(op(e4,e2),op(e4,e2)),
inference(copy,[status(thm)],[c_1429]) ).
cnf(c_1430,plain,
op(op(op(e4,e2),op(e4,e2)),e0) != op(e2,e0),
inference(paramod,[status(thm)],[c_304,c_96]) ).
cnf(c_1431,plain,
op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) != op(e2,e0),
inference(paramod,[status(thm)],[c_304,c_1430]) ).
cnf(c_750,plain,
op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) != op(e2,op(op(e4,e2),op(e4,e2))),
inference(paramod,[status(thm)],[c_304,c_1431]) ).
cnf(c_1432,plain,
op(op(e4,e2),e0) != op(e0,e0),
inference(paramod,[status(thm)],[c_306,c_94]) ).
cnf(c_1433,plain,
op(op(e4,e2),op(op(e4,e2),op(e4,e2))) != op(e0,e0),
inference(paramod,[status(thm)],[c_304,c_1432]) ).
cnf(c_1434,plain,
op(e4,e2) != op(e0,e0),
inference(paramod,[status(thm)],[c_318,c_1433]) ).
cnf(c_1435,plain,
op(e4,e2) != op(op(op(e4,e2),op(e4,e2)),e0),
inference(paramod,[status(thm)],[c_304,c_1434]) ).
cnf(c_1436,plain,
op(e4,e2) != op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))),
inference(paramod,[status(thm)],[c_304,c_1435]) ).
cnf(c_751,plain,
op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) != op(e4,e2),
inference(copy,[status(thm)],[c_1436]) ).
cnf(c_1437,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(op(op(e4,e2),op(e4,e2)),e0) = e0 ),
inference(paramod,[status(thm)],[c_304,c_44]) ).
cnf(c_1438,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e0 ),
inference(paramod,[status(thm)],[c_304,c_1437]) ).
cnf(c_1439,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1438]) ).
cnf(c_1440,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(op(op(e4,e2),op(e4,e2)),e1) = e0
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1439]) ).
cnf(c_1441,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(op(op(e4,e2),op(e4,e2)),op(e4,e2)) = e0
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_306,c_1440]) ).
cnf(c_1442,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(op(op(e4,e2),op(e4,e2)),op(e4,e2)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1441]) ).
cnf(c_1443,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(op(op(e4,e2),op(e4,e2)),e2) = e0
| op(op(op(e4,e2),op(e4,e2)),op(e4,e2)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1442]) ).
cnf(c_1444,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(e4,e2)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1443]) ).
cnf(c_1445,plain,
( op(e0,e4) = e0
| op(op(op(e4,e2),op(e4,e2)),e3) = e0
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(e4,e2)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1444]) ).
cnf(c_1446,plain,
( op(e0,e4) = e0
| op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = e0
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(e4,e2)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_308,c_1445]) ).
cnf(c_1447,plain,
( op(e0,e4) = e0
| op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(e4,e2)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1446]) ).
cnf(c_1448,plain,
( op(op(op(e4,e2),op(e4,e2)),e4) = e0
| op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(e4,e2)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1447]) ).
cnf(c_1449,plain,
( op(op(op(e4,e2),op(e4,e2)),e4) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(e4,e2)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_1448]) ).
cnf(c_793,plain,
( op(op(op(e4,e2),op(e4,e2)),e4) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(op(e4,e2),op(e4,e2)) ),
inference(resolve,[status(thm)],[c_742,c_1449]) ).
cnf(c_1450,plain,
( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_32]) ).
cnf(c_1451,plain,
( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = op(e4,e2)
| op(e4,e4) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_306,c_1450]) ).
cnf(c_1452,plain,
( op(e4,e4) = e4
| op(e4,e4) = op(e2,e4)
| op(e4,e4) = e2
| op(e4,e4) = op(e4,e2)
| op(e4,e4) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_308,c_1451]) ).
cnf(c_1453,plain,
( op(e4,e4) = e4
| op(e4,e4) = op(e2,e4)
| op(e4,e4) = e2
| op(e4,e4) = op(e4,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1452]) ).
cnf(c_1454,plain,
( op(e4,e4) = e4
| op(e4,e4) = op(e2,e4)
| op(e4,e4) = e2
| op(e4,e2) = op(e4,e4)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1453]) ).
cnf(c_1455,plain,
( op(e4,e4) = e4
| op(e2,e4) = op(e4,e4)
| op(e4,e4) = e2
| op(e4,e2) = op(e4,e4)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1454]) ).
cnf(c_1456,plain,
( op(e4,e4) = e4
| op(e2,e4) = op(e4,e4)
| op(e4,e4) = e2
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_281,c_1455]) ).
cnf(c_797,plain,
( op(e4,e4) = e4
| op(e4,e4) = e2
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_186,c_1456]) ).
cnf(c_1457,plain,
( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_304,c_20]) ).
cnf(c_1458,plain,
( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = op(e4,e2)
| op(e2,e2) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_306,c_1457]) ).
cnf(c_1459,plain,
( op(e2,e2) = e4
| op(e2,e2) = op(e2,e4)
| op(e2,e2) = e2
| op(e2,e2) = op(e4,e2)
| op(e2,e2) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_308,c_1458]) ).
cnf(c_1460,plain,
( op(e2,e2) = e4
| op(e2,e2) = op(e2,e4)
| op(e2,e2) = e2
| op(e2,e2) = op(e4,e2)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(copy,[status(thm)],[c_1459]) ).
cnf(c_1461,plain,
( op(e2,e2) = e4
| op(e2,e2) = op(e2,e4)
| op(e2,e2) = e2
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(resolve,[status(thm)],[c_148,c_1460]) ).
cnf(c_807,plain,
( op(e2,e2) = e4
| op(e2,e2) = e2
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(resolve,[status(thm)],[c_243,c_1461]) ).
cnf(c_818,plain,
op(e4,e2) != e4,
inference(paramod,[status(thm)],[c_306,c_296]) ).
cnf(c_1462,plain,
e2 != op(e2,e4),
inference(paramod,[status(thm)],[c_308,c_298]) ).
cnf(c_853,plain,
op(e2,e4) != e2,
inference(copy,[status(thm)],[c_1462]) ).
cnf(c_1463,negated_conjecture,
( op(e4,e4) = e2
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_672,c_503]) ).
cnf(c_1464,negated_conjecture,
( op(e4,e4) = e2
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_669,c_1463]) ).
cnf(c_1465,negated_conjecture,
( op(e4,e4) = e2
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_60
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_658,c_1464]) ).
cnf(c_1466,negated_conjecture,
( op(e4,e4) = e2
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| defn_130
| defn_120
| defn_110
| defn_100
| defn_80
| defn_60
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_648,c_1465]) ).
cnf(c_871,negated_conjecture,
( op(e4,e4) = e2
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| defn_130
| defn_120
| defn_110
| defn_80
| defn_60
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_642,c_1466]) ).
cnf(c_1467,negated_conjecture,
( op(e4,e4) = e2
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_672,c_491]) ).
cnf(c_1468,negated_conjecture,
( op(e4,e4) = e2
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_669,c_1467]) ).
cnf(c_1469,negated_conjecture,
( op(e4,e4) = e2
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_60
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_658,c_1468]) ).
cnf(c_1470,negated_conjecture,
( op(e4,e4) = e2
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_130
| defn_120
| defn_110
| defn_100
| defn_80
| defn_60
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_648,c_1469]) ).
cnf(c_873,negated_conjecture,
( op(e4,e4) = e2
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_130
| defn_120
| defn_110
| defn_80
| defn_60
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_642,c_1470]) ).
cnf(c_1471,negated_conjecture,
( op(e4,e4) = e2
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_672,c_479]) ).
cnf(c_1472,negated_conjecture,
( op(e4,e4) = e2
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_669,c_1471]) ).
cnf(c_1473,negated_conjecture,
( op(e4,e4) = e2
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_60
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_658,c_1472]) ).
cnf(c_1474,negated_conjecture,
( op(e4,e4) = e2
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_130
| defn_120
| defn_110
| defn_100
| defn_80
| defn_60
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_648,c_1473]) ).
cnf(c_875,negated_conjecture,
( op(e4,e4) = e2
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_130
| defn_120
| defn_110
| defn_80
| defn_60
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_642,c_1474]) ).
cnf(c_876,negated_conjecture,
~ defn_60,
inference(resolve,[status(thm)],[c_699,c_665]) ).
cnf(c_877,negated_conjecture,
~ defn_130,
inference(resolve,[status(thm)],[c_699,c_625]) ).
cnf(c_878,negated_conjecture,
~ defn_00,
inference(resolve,[status(thm)],[c_751,c_697]) ).
cnf(c_883,negated_conjecture,
op(e4,e4) != e2,
inference(resolve,[status(thm)],[c_818,c_341]) ).
cnf(c_912,negated_conjecture,
op(e2,e2) != e4,
inference(resolve,[status(thm)],[c_853,c_329]) ).
cnf(c_1475,negated_conjecture,
( op(e4,e4) = e2
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_130
| defn_120
| defn_110
| defn_80
| defn_60
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_878,c_875]) ).
cnf(c_1476,negated_conjecture,
( op(e4,e4) = e2
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_130
| defn_120
| defn_110
| defn_80
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_876,c_1475]) ).
cnf(c_1477,negated_conjecture,
( op(e4,e4) = e2
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_120
| defn_110
| defn_80
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_877,c_1476]) ).
cnf(c_922,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_120
| defn_110
| defn_80
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_883,c_1477]) ).
cnf(c_1478,negated_conjecture,
( op(e4,e4) = e2
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_130
| defn_120
| defn_110
| defn_80
| defn_60
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_878,c_873]) ).
cnf(c_1479,negated_conjecture,
( op(e4,e4) = e2
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_130
| defn_120
| defn_110
| defn_80
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_876,c_1478]) ).
cnf(c_1480,negated_conjecture,
( op(e4,e4) = e2
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_120
| defn_110
| defn_80
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_877,c_1479]) ).
cnf(c_923,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_120
| defn_110
| defn_80
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_883,c_1480]) ).
cnf(c_1481,negated_conjecture,
( op(e4,e4) = e2
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| defn_130
| defn_120
| defn_110
| defn_80
| defn_60
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_878,c_871]) ).
cnf(c_1482,negated_conjecture,
( op(e4,e4) = e2
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| defn_130
| defn_120
| defn_110
| defn_80
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_876,c_1481]) ).
cnf(c_1483,negated_conjecture,
( op(e4,e4) = e2
| op(e4,op(op(e4,e2),op(e4,e2))) != e4
| defn_120
| defn_110
| defn_80
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_877,c_1482]) ).
cnf(c_924,negated_conjecture,
( op(e4,op(op(e4,e2),op(e4,e2))) != e4
| defn_120
| defn_110
| defn_80
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_883,c_1483]) ).
cnf(c_925,negated_conjecture,
( op(e4,e4) = e4
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_883,c_797]) ).
cnf(c_926,negated_conjecture,
~ defn_110,
inference(resolve,[status(thm)],[c_883,c_635]) ).
cnf(c_929,negated_conjecture,
( op(e2,e2) = e2
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(resolve,[status(thm)],[c_912,c_807]) ).
cnf(c_933,negated_conjecture,
( op(e4,op(op(e4,e2),op(e4,e2))) != e4
| defn_120
| defn_80
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_926,c_924]) ).
cnf(c_934,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_120
| defn_80
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_926,c_923]) ).
cnf(c_935,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_120
| defn_80
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_926,c_922]) ).
cnf(c_942,plain,
( op(e4,op(op(e4,e2),op(e4,e2))) = e4
| op(e4,e4) = e4 ),
inference(resolve,[status(thm)],[c_925,c_339]) ).
cnf(c_943,plain,
( op(e2,op(op(e4,e2),op(e4,e2))) = e2
| op(e2,e2) = e2 ),
inference(resolve,[status(thm)],[c_929,c_326]) ).
cnf(c_945,plain,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_120
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_934,c_654]) ).
cnf(c_948,plain,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_120
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_935,c_654]) ).
cnf(c_950,plain,
( op(e2,op(op(e4,e2),op(e4,e2))) != e2
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_120
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_935,c_650]) ).
cnf(c_953,plain,
( defn_120
| defn_80
| defn_30
| defn_20
| defn_10
| op(e4,e4) = e4 ),
inference(resolve,[status(thm)],[c_942,c_933]) ).
cnf(c_955,plain,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| defn_120
| defn_30
| defn_20
| defn_10
| op(e4,e4) = e4 ),
inference(resolve,[status(thm)],[c_953,c_654]) ).
cnf(c_960,plain,
( op(op(op(e4,e2),op(e4,e2)),e4) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| defn_120
| defn_20
| defn_10
| op(e4,e4) = e4 ),
inference(resolve,[status(thm)],[c_955,c_676]) ).
cnf(c_961,plain,
( ~ defn_80
| op(e2,e2) = e2 ),
inference(resolve,[status(thm)],[c_943,c_650]) ).
cnf(c_964,plain,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_120
| defn_30
| defn_20
| defn_10
| op(e2,e2) = e2 ),
inference(resolve,[status(thm)],[c_961,c_934]) ).
cnf(c_1484,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_120
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_948,c_678]) ).
cnf(c_975,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_120
| defn_20
| defn_10 ),
inference(copy,[status(thm)],[c_1484]) ).
cnf(c_976,plain,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_120
| defn_10 ),
inference(resolve,[status(thm)],[c_975,c_686]) ).
cnf(c_977,plain,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_120
| defn_10 ),
inference(resolve,[status(thm)],[c_975,c_684]) ).
cnf(c_978,plain,
( op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_120
| defn_10 ),
inference(resolve,[status(thm)],[c_975,c_682]) ).
cnf(c_1485,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_120
| defn_20
| defn_10
| op(e2,e2) = e2 ),
inference(resolve,[status(thm)],[c_964,c_680]) ).
cnf(c_982,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_120
| defn_20
| defn_10
| op(e2,e2) = e2 ),
inference(copy,[status(thm)],[c_1485]) ).
cnf(c_983,plain,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_120
| defn_10
| op(e2,e2) = e2 ),
inference(resolve,[status(thm)],[c_982,c_686]) ).
cnf(c_984,plain,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_120
| defn_10
| op(e2,e2) = e2 ),
inference(resolve,[status(thm)],[c_982,c_684]) ).
cnf(c_1486,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_120
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_945,c_680]) ).
cnf(c_994,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_120
| defn_20
| defn_10 ),
inference(copy,[status(thm)],[c_1486]) ).
cnf(c_996,plain,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_120
| defn_10 ),
inference(resolve,[status(thm)],[c_994,c_686]) ).
cnf(c_997,plain,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_120
| defn_10 ),
inference(resolve,[status(thm)],[c_994,c_684]) ).
cnf(c_1487,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_10 ),
inference(resolve,[status(thm)],[c_977,c_633]) ).
cnf(c_1003,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_10 ),
inference(copy,[status(thm)],[c_1487]) ).
cnf(c_1488,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1003,c_690]) ).
cnf(c_1004,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1488]) ).
cnf(c_1005,plain,
( op(op(e2,e4),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1004,c_331]) ).
cnf(c_1009,plain,
( ~ defn_120
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1005,c_629]) ).
cnf(c_1489,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_10
| op(e2,e2) = e2 ),
inference(resolve,[status(thm)],[c_984,c_633]) ).
cnf(c_1010,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_10
| op(e2,e2) = e2 ),
inference(copy,[status(thm)],[c_1489]) ).
cnf(c_1490,plain,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_10 ),
inference(resolve,[status(thm)],[c_976,c_1009]) ).
cnf(c_1491,plain,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_10 ),
inference(copy,[status(thm)],[c_1490]) ).
cnf(c_1011,plain,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_10 ),
inference(copy,[status(thm)],[c_1491]) ).
cnf(c_1492,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1011,c_690]) ).
cnf(c_1012,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1492]) ).
cnf(c_1013,plain,
( op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1012,c_314]) ).
cnf(c_1493,plain,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_120
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1013,c_978]) ).
cnf(c_1494,plain,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| defn_120
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1493]) ).
cnf(c_1014,plain,
( defn_120
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1494]) ).
cnf(c_1495,plain,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1014,c_1009]) ).
cnf(c_1496,plain,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1495]) ).
cnf(c_1016,plain,
( defn_10
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1496]) ).
cnf(c_1497,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1016,c_690]) ).
cnf(c_1018,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1497]) ).
cnf(c_1019,plain,
( op(e2,op(op(e4,e2),op(e4,e2))) = e2
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1018,c_326]) ).
cnf(c_1498,plain,
( op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_120
| defn_30
| defn_20
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1019,c_950]) ).
cnf(c_1020,plain,
( defn_120
| defn_30
| defn_20
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1498]) ).
cnf(c_1499,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_120
| defn_20
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1020,c_678]) ).
cnf(c_1024,negated_conjecture,
( defn_120
| defn_20
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1499]) ).
cnf(c_1026,plain,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| defn_120
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1024,c_686]) ).
cnf(c_1027,plain,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| defn_120
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1024,c_684]) ).
cnf(c_1028,plain,
( op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) != op(op(e4,e2),op(e4,e2))
| defn_120
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1024,c_682]) ).
cnf(c_1500,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1027,c_633]) ).
cnf(c_1030,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1500]) ).
cnf(c_1031,plain,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e2
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1030,c_692]) ).
cnf(c_1032,plain,
( op(op(op(e4,e2),op(e4,e2)),e2) != op(op(e4,e2),op(e4,e2))
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1030,c_688]) ).
cnf(c_1501,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_10
| op(e2,e2) = e2 ),
inference(resolve,[status(thm)],[c_983,c_631]) ).
cnf(c_1033,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_10
| op(e2,e2) = e2 ),
inference(copy,[status(thm)],[c_1501]) ).
cnf(c_1502,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1026,c_631]) ).
cnf(c_1034,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1502]) ).
cnf(c_1035,plain,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e2
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1034,c_692]) ).
cnf(c_1036,plain,
( op(op(op(e4,e2),op(e4,e2)),e2) != op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1034,c_688]) ).
cnf(c_1037,plain,
( op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1031,c_312]) ).
cnf(c_1503,plain,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1037,c_1032]) ).
cnf(c_1504,plain,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1503]) ).
cnf(c_1038,plain,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1504]) ).
cnf(c_1039,plain,
( op(op(e2,e4),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1038,c_331]) ).
cnf(c_1040,plain,
( ~ defn_120
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1039,c_629]) ).
cnf(c_1505,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_10 ),
inference(resolve,[status(thm)],[c_997,c_633]) ).
cnf(c_1041,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_10 ),
inference(copy,[status(thm)],[c_1505]) ).
cnf(c_1506,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4 ),
inference(resolve,[status(thm)],[c_1041,c_690]) ).
cnf(c_1042,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4 ),
inference(copy,[status(thm)],[c_1506]) ).
cnf(c_1043,plain,
( op(op(op(e4,e2),op(e4,e2)),e4) = op(op(e4,e2),op(e4,e2))
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(resolve,[status(thm)],[c_1042,c_316]) ).
cnf(c_1507,plain,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| defn_120
| defn_20
| defn_10
| op(e4,e4) = e4
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(resolve,[status(thm)],[c_1043,c_960]) ).
cnf(c_1045,plain,
( defn_120
| defn_20
| defn_10
| op(e4,e4) = e4
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(copy,[status(thm)],[c_1507]) ).
cnf(c_1508,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| defn_120
| defn_10
| op(e4,e4) = e4
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(resolve,[status(thm)],[c_1045,c_684]) ).
cnf(c_1048,negated_conjecture,
( defn_120
| defn_10
| op(e4,e4) = e4
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(copy,[status(thm)],[c_1508]) ).
cnf(c_1509,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| defn_10
| op(e4,e4) = e4
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(resolve,[status(thm)],[c_1048,c_633]) ).
cnf(c_1050,negated_conjecture,
( defn_10
| op(e4,e4) = e4
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(copy,[status(thm)],[c_1509]) ).
cnf(c_1510,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_10 ),
inference(resolve,[status(thm)],[c_996,c_631]) ).
cnf(c_1051,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4
| defn_10 ),
inference(copy,[status(thm)],[c_1510]) ).
cnf(c_1511,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(e4,e4) = e4
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(resolve,[status(thm)],[c_1050,c_690]) ).
cnf(c_1053,negated_conjecture,
( op(e4,e4) = e4
| op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(copy,[status(thm)],[c_1511]) ).
cnf(c_1054,plain,
( op(op(e2,e4),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(e4,e4) = e4
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(resolve,[status(thm)],[c_1053,c_331]) ).
cnf(c_1055,plain,
( ~ defn_120
| op(e4,e4) = e4
| op(op(e4,e2),op(e4,e2)) = op(e2,e2) ),
inference(resolve,[status(thm)],[c_1054,c_629]) ).
cnf(c_1056,plain,
( op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e2
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1035,c_314]) ).
cnf(c_1057,plain,
( op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1056,c_312]) ).
cnf(c_1512,plain,
( defn_120
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1057,c_1028]) ).
cnf(c_1058,plain,
( defn_120
| defn_10
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1512]) ).
cnf(c_1513,plain,
( op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_10
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1058,c_1040]) ).
cnf(c_1060,plain,
( defn_10
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1513]) ).
cnf(c_1061,plain,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e2
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1060,c_692]) ).
cnf(c_1514,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1061,c_312]) ).
cnf(c_1062,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1514]) ).
cnf(c_1515,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4 ),
inference(resolve,[status(thm)],[c_1051,c_690]) ).
cnf(c_1063,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4 ),
inference(copy,[status(thm)],[c_1515]) ).
cnf(c_1516,plain,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1062,c_1036]) ).
cnf(c_1064,plain,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1516]) ).
cnf(c_1065,plain,
( ~ defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1062,c_688]) ).
cnf(c_1066,plain,
( op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1064,c_314]) ).
cnf(c_1517,plain,
( defn_120
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1066,c_1028]) ).
cnf(c_1067,plain,
( defn_120
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1517]) ).
cnf(c_1518,plain,
( op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1067,c_1040]) ).
cnf(c_1069,plain,
( defn_10
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1518]) ).
cnf(c_1070,plain,
( op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = e4 ),
inference(resolve,[status(thm)],[c_1063,c_314]) ).
cnf(c_1519,plain,
( op(op(e4,e2),op(e4,e2)) = op(e4,e4)
| op(op(e4,e2),op(e4,e2)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1069,c_1065]) ).
cnf(c_1071,plain,
op(op(e4,e2),op(e4,e2)) = op(e4,e4),
inference(copy,[status(thm)],[c_1519]) ).
cnf(c_1520,plain,
( op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e4),op(op(e4,e2),op(e4,e2))) = e4 ),
inference(paramod,[status(thm)],[c_1071,c_1070]) ).
cnf(c_1521,plain,
( op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e4),op(e4,e4)) = e4 ),
inference(paramod,[status(thm)],[c_1071,c_1520]) ).
cnf(c_1522,plain,
( op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(e4,e4) = op(e2,e2)
| op(op(e4,e4),op(e4,e4)) = e4 ),
inference(paramod,[status(thm)],[c_1071,c_1521]) ).
cnf(c_1523,plain,
( op(op(e4,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(e4,e4) = op(e2,e2)
| op(op(e4,e4),op(e4,e4)) = e4 ),
inference(paramod,[status(thm)],[c_1071,c_1522]) ).
cnf(c_1524,plain,
( op(op(e4,e4),op(e2,e4)) = op(e4,e4)
| op(e4,e4) = op(e2,e2)
| op(op(e4,e4),op(e4,e4)) = e4 ),
inference(paramod,[status(thm)],[c_1071,c_1523]) ).
cnf(c_1072,plain,
( op(op(e4,e4),op(e2,e4)) = op(e4,e4)
| op(e2,e2) = op(e4,e4)
| op(op(e4,e4),op(e4,e4)) = e4 ),
inference(copy,[status(thm)],[c_1524]) ).
cnf(c_1525,plain,
( ~ defn_120
| op(e4,e4) = e4
| op(e4,e4) = op(e2,e2) ),
inference(paramod,[status(thm)],[c_1071,c_1055]) ).
cnf(c_1074,plain,
( ~ defn_120
| op(e4,e4) = e4
| op(e2,e2) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1525]) ).
cnf(c_1526,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e4),op(op(e4,e2),op(e4,e2))) = e4
| defn_10
| op(e2,e2) = e2 ),
inference(paramod,[status(thm)],[c_1071,c_1033]) ).
cnf(c_1527,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e4),op(e4,e4)) = e4
| defn_10
| op(e2,e2) = e2 ),
inference(paramod,[status(thm)],[c_1071,c_1526]) ).
cnf(c_1528,negated_conjecture,
( op(op(e4,e4),op(op(e4,e2),op(e4,e2))) = op(e2,e4)
| op(op(e4,e4),op(e4,e4)) = e4
| defn_10
| op(e2,e2) = e2 ),
inference(paramod,[status(thm)],[c_1071,c_1527]) ).
cnf(c_1080,negated_conjecture,
( op(op(e4,e4),op(e4,e4)) = op(e2,e4)
| op(op(e4,e4),op(e4,e4)) = e4
| defn_10
| op(e2,e2) = e2 ),
inference(paramod,[status(thm)],[c_1071,c_1528]) ).
cnf(c_1529,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),op(op(e4,e2),op(e4,e2))) = e4
| defn_10
| op(e2,e2) = e2 ),
inference(paramod,[status(thm)],[c_1071,c_1010]) ).
cnf(c_1530,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),op(e4,e4)) = e4
| defn_10
| op(e2,e2) = e2 ),
inference(paramod,[status(thm)],[c_1071,c_1529]) ).
cnf(c_1081,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(e4,e4)
| op(op(e4,e4),op(e4,e4)) = e4
| defn_10
| op(e2,e2) = e2 ),
inference(paramod,[status(thm)],[c_1071,c_1530]) ).
cnf(c_1531,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e4),op(op(e4,e2),op(e4,e2))) = e4
| defn_120
| defn_20
| defn_10 ),
inference(paramod,[status(thm)],[c_1071,c_994]) ).
cnf(c_1532,negated_conjecture,
( op(op(e4,e2),op(e4,e2)) = op(e2,e2)
| op(op(e4,e4),op(e4,e4)) = e4
| defn_120
| defn_20
| defn_10 ),
inference(paramod,[status(thm)],[c_1071,c_1531]) ).
cnf(c_1533,negated_conjecture,
( op(e4,e4) = op(e2,e2)
| op(op(e4,e4),op(e4,e4)) = e4
| defn_120
| defn_20
| defn_10 ),
inference(paramod,[status(thm)],[c_1071,c_1532]) ).
cnf(c_1084,negated_conjecture,
( op(e2,e2) = op(e4,e4)
| op(op(e4,e4),op(e4,e4)) = e4
| defn_120
| defn_20
| defn_10 ),
inference(copy,[status(thm)],[c_1533]) ).
cnf(c_1534,plain,
( op(op(op(e4,e2),op(e4,e2)),e4) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),op(op(e4,e2),op(e4,e2))) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_1071,c_793]) ).
cnf(c_1535,plain,
( op(op(op(e4,e2),op(e4,e2)),e4) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),op(e4,e4)) = op(op(e4,e2),op(e4,e2)) ),
inference(paramod,[status(thm)],[c_1071,c_1534]) ).
cnf(c_1536,plain,
( op(op(op(e4,e2),op(e4,e2)),e4) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),e2) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),op(e4,e4)) = op(e4,e4) ),
inference(paramod,[status(thm)],[c_1071,c_1535]) ).
cnf(c_1537,plain,
( op(op(op(e4,e2),op(e4,e2)),e4) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),e2) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),op(e4,e4)) = op(e4,e4) ),
inference(paramod,[status(thm)],[c_1071,c_1536]) ).
cnf(c_1538,plain,
( op(op(op(e4,e2),op(e4,e2)),e4) = op(op(e4,e2),op(e4,e2))
| op(op(op(e4,e2),op(e4,e2)),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),e2) = op(e4,e4)
| op(op(e4,e4),op(e4,e4)) = op(e4,e4) ),
inference(paramod,[status(thm)],[c_1071,c_1537]) ).
cnf(c_1539,plain,
( op(op(op(e4,e2),op(e4,e2)),e4) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),op(e2,e4)) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),e2) = op(e4,e4)
| op(op(e4,e4),op(e4,e4)) = op(e4,e4) ),
inference(paramod,[status(thm)],[c_1071,c_1538]) ).
cnf(c_1540,plain,
( op(op(op(e4,e2),op(e4,e2)),e4) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),op(e2,e4)) = op(e4,e4)
| op(op(e4,e4),e2) = op(e4,e4)
| op(op(e4,e4),op(e4,e4)) = op(e4,e4) ),
inference(paramod,[status(thm)],[c_1071,c_1539]) ).
cnf(c_1541,plain,
( op(op(e4,e4),e4) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),op(e2,e4)) = op(e4,e4)
| op(op(e4,e4),e2) = op(e4,e4)
| op(op(e4,e4),op(e4,e4)) = op(e4,e4) ),
inference(paramod,[status(thm)],[c_1071,c_1540]) ).
cnf(c_1150,plain,
( op(op(e4,e4),e4) = op(e4,e4)
| op(op(e4,e4),op(e2,e4)) = op(e4,e4)
| op(op(e4,e4),e2) = op(e4,e4)
| op(op(e4,e4),op(e4,e4)) = op(e4,e4) ),
inference(paramod,[status(thm)],[c_1071,c_1541]) ).
cnf(c_1542,plain,
op(op(e4,e4),op(op(e4,e2),op(e4,e2))) != op(e2,op(op(e4,e2),op(e4,e2))),
inference(paramod,[status(thm)],[c_1071,c_750]) ).
cnf(c_1543,plain,
op(op(e4,e4),op(e4,e4)) != op(e2,op(op(e4,e2),op(e4,e2))),
inference(paramod,[status(thm)],[c_1071,c_1542]) ).
cnf(c_1161,plain,
op(op(e4,e4),op(e4,e4)) != op(e2,op(e4,e4)),
inference(paramod,[status(thm)],[c_1071,c_1543]) ).
cnf(c_1174,plain,
op(op(e4,e4),e2) != op(e2,e2),
inference(paramod,[status(thm)],[c_1071,c_737]) ).
cnf(c_1544,plain,
op(op(e4,e4),op(e2,e4)) != op(op(e2,e4),op(e2,e4)),
inference(paramod,[status(thm)],[c_1071,c_732]) ).
cnf(c_1179,plain,
op(op(e2,e4),op(e2,e4)) != op(op(e4,e4),op(e2,e4)),
inference(copy,[status(thm)],[c_1544]) ).
cnf(c_1184,plain,
op(op(e4,e4),e4) != op(e4,e4),
inference(paramod,[status(thm)],[c_1071,c_727]) ).
cnf(c_1207,plain,
op(e4,e4) != e4,
inference(paramod,[status(thm)],[c_1071,c_698]) ).
cnf(c_1545,negated_conjecture,
( op(op(e4,e4),op(op(e4,e2),op(e4,e2))) = e2
| ~ defn_10 ),
inference(paramod,[status(thm)],[c_1071,c_692]) ).
cnf(c_1208,negated_conjecture,
( op(op(e4,e4),op(e4,e4)) = e2
| ~ defn_10 ),
inference(paramod,[status(thm)],[c_1071,c_1545]) ).
cnf(c_1546,negated_conjecture,
( op(e4,e4) = op(e2,e2)
| ~ defn_10 ),
inference(paramod,[status(thm)],[c_1071,c_690]) ).
cnf(c_1209,negated_conjecture,
( op(e2,e2) = op(e4,e4)
| ~ defn_10 ),
inference(copy,[status(thm)],[c_1546]) ).
cnf(c_1547,negated_conjecture,
( op(op(e4,e4),op(e2,e4)) != op(op(e4,e2),op(e4,e2))
| ~ defn_20 ),
inference(paramod,[status(thm)],[c_1071,c_682]) ).
cnf(c_1213,negated_conjecture,
( op(op(e4,e4),op(e2,e4)) != op(e4,e4)
| ~ defn_20 ),
inference(paramod,[status(thm)],[c_1071,c_1547]) ).
cnf(c_1548,negated_conjecture,
( op(e2,op(op(e4,e2),op(e4,e2))) = e2
| op(e4,e4) != op(e2,e2) ),
inference(paramod,[status(thm)],[c_1071,c_326]) ).
cnf(c_1549,negated_conjecture,
( op(e2,op(e4,e4)) = e2
| op(e4,e4) != op(e2,e2) ),
inference(paramod,[status(thm)],[c_1071,c_1548]) ).
cnf(c_1223,negated_conjecture,
( op(e2,op(e4,e4)) = e2
| op(e2,e2) != op(e4,e4) ),
inference(copy,[status(thm)],[c_1549]) ).
cnf(c_1550,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e4) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),op(op(e4,e2),op(e4,e2))) != e4 ),
inference(paramod,[status(thm)],[c_1071,c_316]) ).
cnf(c_1551,negated_conjecture,
( op(op(op(e4,e2),op(e4,e2)),e4) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),op(e4,e4)) != e4 ),
inference(paramod,[status(thm)],[c_1071,c_1550]) ).
cnf(c_1552,negated_conjecture,
( op(op(e4,e4),e4) = op(op(e4,e2),op(e4,e2))
| op(op(e4,e4),op(e4,e4)) != e4 ),
inference(paramod,[status(thm)],[c_1071,c_1551]) ).
cnf(c_1553,negated_conjecture,
( op(op(e4,e4),e4) = op(e4,e4)
| op(op(e4,e4),op(e4,e4)) != e4 ),
inference(paramod,[status(thm)],[c_1071,c_1552]) ).
cnf(c_1225,negated_conjecture,
op(op(e4,e4),op(e4,e4)) != e4,
inference(resolve,[status(thm)],[c_1184,c_1553]) ).
cnf(c_1229,plain,
( op(op(e4,e4),op(e2,e4)) = op(e4,e4)
| op(op(e4,e4),e2) = op(e4,e4)
| op(op(e4,e4),op(e4,e4)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1184,c_1150]) ).
cnf(c_1238,plain,
( ~ defn_120
| op(e2,e2) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1207,c_1074]) ).
cnf(c_1259,negated_conjecture,
( op(e2,e2) = op(e4,e4)
| defn_120
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_1225,c_1084]) ).
cnf(c_1262,negated_conjecture,
( op(op(e2,e4),op(e2,e4)) = op(e4,e4)
| defn_10
| op(e2,e2) = e2 ),
inference(resolve,[status(thm)],[c_1225,c_1081]) ).
cnf(c_1263,negated_conjecture,
( op(op(e4,e4),op(e4,e4)) = op(e2,e4)
| defn_10
| op(e2,e2) = e2 ),
inference(resolve,[status(thm)],[c_1225,c_1080]) ).
cnf(c_1265,negated_conjecture,
( op(op(e4,e4),op(e2,e4)) = op(e4,e4)
| op(e2,e2) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1225,c_1072]) ).
cnf(c_1279,plain,
( op(op(e4,e4),op(e4,e4)) = e2
| op(op(e2,e4),op(e2,e4)) = op(e4,e4)
| op(e2,e2) = e2 ),
inference(resolve,[status(thm)],[c_1262,c_1208]) ).
cnf(c_1282,plain,
( op(op(e4,e4),op(e4,e4)) = e2
| op(op(e4,e4),op(e4,e4)) = op(e2,e4)
| op(e2,e2) = e2 ),
inference(resolve,[status(thm)],[c_1263,c_1208]) ).
cnf(c_1284,plain,
( ~ defn_20
| op(e2,e2) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1265,c_1213]) ).
cnf(c_1554,plain,
( op(e2,e2) = op(e4,e4)
| defn_120
| defn_10
| op(e2,e2) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1284,c_1259]) ).
cnf(c_1286,plain,
( defn_120
| defn_10
| op(e2,e2) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1554]) ).
cnf(c_1555,plain,
( op(e2,e2) = op(e4,e4)
| defn_10
| op(e2,e2) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1286,c_1238]) ).
cnf(c_1287,plain,
( defn_10
| op(e2,e2) = op(e4,e4) ),
inference(copy,[status(thm)],[c_1555]) ).
cnf(c_1556,negated_conjecture,
( op(e2,e2) = op(e4,e4)
| op(e2,e2) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1287,c_1209]) ).
cnf(c_1289,negated_conjecture,
op(e2,e2) = op(e4,e4),
inference(copy,[status(thm)],[c_1556]) ).
cnf(c_1557,plain,
( op(op(e4,e4),op(e4,e4)) = e2
| op(op(e4,e4),op(e4,e4)) = op(e2,e4)
| op(e4,e4) = e2 ),
inference(paramod,[status(thm)],[c_1289,c_1282]) ).
cnf(c_1291,negated_conjecture,
( op(op(e4,e4),op(e4,e4)) = e2
| op(op(e4,e4),op(e4,e4)) = op(e2,e4) ),
inference(resolve,[status(thm)],[c_883,c_1557]) ).
cnf(c_1558,plain,
( op(op(e4,e4),op(e4,e4)) = e2
| op(op(e2,e4),op(e2,e4)) = op(e4,e4)
| op(e4,e4) = e2 ),
inference(paramod,[status(thm)],[c_1289,c_1279]) ).
cnf(c_1294,negated_conjecture,
( op(op(e4,e4),op(e4,e4)) = e2
| op(op(e2,e4),op(e2,e4)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_883,c_1558]) ).
cnf(c_1559,negated_conjecture,
( op(e2,op(e4,e4)) = e2
| op(e4,e4) != op(e4,e4) ),
inference(paramod,[status(thm)],[c_1289,c_1223]) ).
cnf(c_1301,negated_conjecture,
op(e2,op(e4,e4)) = e2,
inference(copy,[status(thm)],[c_1559]) ).
cnf(c_1302,plain,
op(op(e4,e4),e2) != op(e4,e4),
inference(paramod,[status(thm)],[c_1289,c_1174]) ).
cnf(c_1311,plain,
op(op(e4,e4),op(e4,e4)) != e2,
inference(paramod,[status(thm)],[c_1301,c_1161]) ).
cnf(c_1312,plain,
( op(op(e4,e4),op(e2,e4)) = op(e4,e4)
| op(op(e4,e4),op(e4,e4)) = op(e4,e4) ),
inference(resolve,[status(thm)],[c_1302,c_1229]) ).
cnf(c_1323,negated_conjecture,
op(op(e2,e4),op(e2,e4)) = op(e4,e4),
inference(resolve,[status(thm)],[c_1311,c_1294]) ).
cnf(c_1324,negated_conjecture,
op(op(e4,e4),op(e4,e4)) = op(e2,e4),
inference(resolve,[status(thm)],[c_1311,c_1291]) ).
cnf(c_1560,plain,
op(e4,e4) != op(op(e4,e4),op(e2,e4)),
inference(paramod,[status(thm)],[c_1323,c_1179]) ).
cnf(c_1330,plain,
op(op(e4,e4),op(e2,e4)) != op(e4,e4),
inference(copy,[status(thm)],[c_1560]) ).
cnf(c_1561,plain,
( op(op(e4,e4),op(e2,e4)) = op(e4,e4)
| op(e2,e4) = op(e4,e4) ),
inference(paramod,[status(thm)],[c_1324,c_1312]) ).
cnf(c_1562,plain,
op(op(e4,e4),op(e2,e4)) = op(e4,e4),
inference(resolve,[status(thm)],[c_186,c_1561]) ).
cnf(c_1335,plain,
$false,
inference(resolve,[status(thm)],[c_1330,c_1562]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG067+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n016.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Sat Sep 26 21:10:37 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.37 % Process 1723530 was started by sandbox2 on n016,
% 0.10/5.37 % Sat Sep 26 21:10:37 2026
% 0.10/5.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.78/6.05
% 0.78/6.05 % From the command line: assign(max_seconds, 300).
% 0.81/6.30
% 0.81/6.30 % SZS status Theorem for theBenchmark
% 0.81/6.30
% 0.81/6.30 % Proof 1 at 0.18 (+ 0.03) seconds.
% 0.81/6.30 % Length of proof is 248.
% 0.81/6.30 % Level of proof is 50.
% 0.81/6.30 % Maximum clause weight is 144.000.
% 0.81/6.30 % Given clauses 431.
% 0.81/6.30
% 0.81/6.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------