%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG106+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 06:49:31 AM UTC 2026
% Result : Theorem 270.98s 52.33s
% Output : CNFRefutation 270.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 132
% Number of leaves : 33
% Syntax : Number of formulae : 934 ( 223 unt; 18 def)
% Number of atoms : 5033 (4608 equ)
% Maximal formula atoms : 128 ( 5 avg)
% Number of connectives : 6576 (2477 ~;3465 |; 616 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('theBenchmark.p',ax1) ).
fof(ax2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('theBenchmark.p',ax2) ).
fof(ax3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('theBenchmark.p',ax3) ).
fof(ax4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('theBenchmark.p',ax4) ).
fof(ax5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('theBenchmark.p',ax5) ).
fof(ax6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('theBenchmark.p',ax6) ).
fof(ax7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('theBenchmark.p',ax7) ).
fof(ax8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('theBenchmark.p',ax8) ).
fof(ax10,axiom,
( ( ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) )
& ( op1(e13,op1(e13,e13)) = e13
| op1(e12,op1(e12,e13)) = e12
| op1(e11,op1(e11,e13)) = e11
| op1(e10,op1(e10,e13)) = e10 )
& ( op1(e13,op1(e13,e12)) = e13
| op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e12)) = e11
| op1(e10,op1(e10,e12)) = e10 )
& ( op1(e13,op1(e13,e11)) = e13
| op1(e12,op1(e12,e11)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e11)) = e10 )
& ( op1(e13,op1(e13,e10)) = e13
| op1(e12,op1(e12,e10)) = e12
| op1(e11,op1(e11,e10)) = e11
| op1(e10,op1(e10,e10)) = e10 ) ),
file('theBenchmark.p',ax10) ).
fof(ax11,axiom,
( ( ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) )
& ( op2(e23,op2(e23,e23)) = e23
| op2(e22,op2(e22,e23)) = e22
| op2(e21,op2(e21,e23)) = e21
| op2(e20,op2(e20,e23)) = e20 )
& ( op2(e23,op2(e23,e22)) = e23
| op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e22)) = e21
| op2(e20,op2(e20,e22)) = e20 )
& ( op2(e23,op2(e23,e21)) = e23
| op2(e22,op2(e22,e21)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e20,e21)) = e20 )
& ( op2(e23,op2(e23,e20)) = e23
| op2(e22,op2(e22,e20)) = e22
| op2(e21,op2(e21,e20)) = e21
| op2(e20,op2(e20,e20)) = e20 ) ),
file('theBenchmark.p',ax11) ).
fof(ax12,axiom,
( e12 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e10 = op1(op1(e13,op1(e13,e13)),e13) ),
file('theBenchmark.p',ax12) ).
fof(ax13,axiom,
( e22 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e20 = op2(op2(e23,op2(e23,e23)),e23) ),
file('theBenchmark.p',ax13) ).
fof(ax15,axiom,
( h2(e12) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
file('theBenchmark.p',ax15) ).
fof(ax17,axiom,
( h4(e12) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
file('theBenchmark.p',ax17) ).
fof(co1,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('theBenchmark.p',co1) ).
fof(co1_neg,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
cnf(c_19,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_20,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_22,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_23,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_24,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_26,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_31,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_33,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_37,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_39,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_40,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_44,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_45,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_46,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_47,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_49,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_50,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_52,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_54,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_55,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_64,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_65,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_67,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_68,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_70,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_71,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_72,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_74,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_79,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_81,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_85,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_87,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_88,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_92,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_93,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_94,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_95,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_97,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_98,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_100,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_102,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_103,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_112,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_113,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_115,plain,
op1(e11,e10) != op1(e10,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_116,plain,
op1(e12,e10) != op1(e10,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_119,plain,
op1(e12,e10) != op1(e11,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_120,plain,
op1(e13,e10) != op1(e11,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_121,plain,
op1(e11,e10) != op1(e13,e10),
inference(copy,[status(thm)],[c_120]) ).
cnf(c_124,plain,
op1(e11,e11) != op1(e10,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_125,plain,
op1(e12,e11) != op1(e10,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_126,plain,
op1(e13,e11) != op1(e10,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_127,plain,
op1(e10,e11) != op1(e13,e11),
inference(copy,[status(thm)],[c_126]) ).
cnf(c_129,plain,
op1(e13,e11) != op1(e11,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_130,plain,
op1(e11,e11) != op1(e13,e11),
inference(copy,[status(thm)],[c_129]) ).
cnf(c_131,plain,
op1(e13,e11) != op1(e12,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_132,plain,
op1(e12,e11) != op1(e13,e11),
inference(copy,[status(thm)],[c_131]) ).
cnf(c_133,plain,
op1(e11,e12) != op1(e10,e12),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_142,plain,
op1(e11,e13) != op1(e10,e13),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_143,plain,
op1(e12,e13) != op1(e10,e13),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_144,plain,
op1(e13,e13) != op1(e10,e13),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_145,plain,
op1(e10,e13) != op1(e13,e13),
inference(copy,[status(thm)],[c_144]) ).
cnf(c_146,plain,
op1(e12,e13) != op1(e11,e13),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_147,plain,
op1(e13,e13) != op1(e11,e13),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_148,plain,
op1(e11,e13) != op1(e13,e13),
inference(copy,[status(thm)],[c_147]) ).
cnf(c_151,plain,
op1(e10,e11) != op1(e10,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_152,plain,
op1(e10,e12) != op1(e10,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_153,plain,
op1(e10,e13) != op1(e10,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_154,plain,
op1(e10,e10) != op1(e10,e13),
inference(copy,[status(thm)],[c_153]) ).
cnf(c_155,plain,
op1(e10,e12) != op1(e10,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_156,plain,
op1(e10,e13) != op1(e10,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_157,plain,
op1(e10,e11) != op1(e10,e13),
inference(copy,[status(thm)],[c_156]) ).
cnf(c_158,plain,
op1(e10,e13) != op1(e10,e12),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_159,plain,
op1(e10,e12) != op1(e10,e13),
inference(copy,[status(thm)],[c_158]) ).
cnf(c_162,plain,
op1(e11,e13) != op1(e11,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_163,plain,
op1(e11,e10) != op1(e11,e13),
inference(copy,[status(thm)],[c_162]) ).
cnf(c_164,plain,
op1(e11,e12) != op1(e11,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_171,plain,
op1(e12,e13) != op1(e12,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_172,plain,
op1(e12,e10) != op1(e12,e13),
inference(copy,[status(thm)],[c_171]) ).
cnf(c_174,plain,
op1(e12,e13) != op1(e12,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_175,plain,
op1(e12,e11) != op1(e12,e13),
inference(copy,[status(thm)],[c_174]) ).
cnf(c_176,plain,
op1(e12,e13) != op1(e12,e12),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_177,plain,
op1(e12,e12) != op1(e12,e13),
inference(copy,[status(thm)],[c_176]) ).
cnf(c_178,plain,
op1(e13,e11) != op1(e13,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_179,plain,
op1(e13,e12) != op1(e13,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_180,plain,
op1(e13,e13) != op1(e13,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_181,plain,
op1(e13,e10) != op1(e13,e13),
inference(copy,[status(thm)],[c_180]) ).
cnf(c_182,plain,
op1(e13,e12) != op1(e13,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_185,plain,
op1(e13,e13) != op1(e13,e12),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_186,plain,
op1(e13,e12) != op1(e13,e13),
inference(copy,[status(thm)],[c_185]) ).
cnf(c_187,plain,
op2(e21,e20) != op2(e20,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_188,plain,
op2(e22,e20) != op2(e20,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_191,plain,
op2(e22,e20) != op2(e21,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_192,plain,
op2(e23,e20) != op2(e21,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_193,plain,
op2(e21,e20) != op2(e23,e20),
inference(copy,[status(thm)],[c_192]) ).
cnf(c_196,plain,
op2(e21,e21) != op2(e20,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_197,plain,
op2(e22,e21) != op2(e20,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_198,plain,
op2(e23,e21) != op2(e20,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_199,plain,
op2(e20,e21) != op2(e23,e21),
inference(copy,[status(thm)],[c_198]) ).
cnf(c_200,plain,
op2(e22,e21) != op2(e21,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_201,plain,
op2(e23,e21) != op2(e21,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_202,plain,
op2(e21,e21) != op2(e23,e21),
inference(copy,[status(thm)],[c_201]) ).
cnf(c_203,plain,
op2(e23,e21) != op2(e22,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_204,plain,
op2(e22,e21) != op2(e23,e21),
inference(copy,[status(thm)],[c_203]) ).
cnf(c_205,plain,
op2(e21,e22) != op2(e20,e22),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_214,plain,
op2(e21,e23) != op2(e20,e23),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_215,plain,
op2(e22,e23) != op2(e20,e23),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_216,plain,
op2(e23,e23) != op2(e20,e23),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_217,plain,
op2(e20,e23) != op2(e23,e23),
inference(copy,[status(thm)],[c_216]) ).
cnf(c_218,plain,
op2(e22,e23) != op2(e21,e23),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_219,plain,
op2(e23,e23) != op2(e21,e23),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_220,plain,
op2(e21,e23) != op2(e23,e23),
inference(copy,[status(thm)],[c_219]) ).
cnf(c_223,plain,
op2(e20,e21) != op2(e20,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_224,plain,
op2(e20,e22) != op2(e20,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_225,plain,
op2(e20,e23) != op2(e20,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_226,plain,
op2(e20,e20) != op2(e20,e23),
inference(copy,[status(thm)],[c_225]) ).
cnf(c_227,plain,
op2(e20,e22) != op2(e20,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_228,plain,
op2(e20,e23) != op2(e20,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_229,plain,
op2(e20,e21) != op2(e20,e23),
inference(copy,[status(thm)],[c_228]) ).
cnf(c_230,plain,
op2(e20,e23) != op2(e20,e22),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_231,plain,
op2(e20,e22) != op2(e20,e23),
inference(copy,[status(thm)],[c_230]) ).
cnf(c_234,plain,
op2(e21,e23) != op2(e21,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_235,plain,
op2(e21,e20) != op2(e21,e23),
inference(copy,[status(thm)],[c_234]) ).
cnf(c_236,plain,
op2(e21,e22) != op2(e21,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_243,plain,
op2(e22,e23) != op2(e22,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_244,plain,
op2(e22,e20) != op2(e22,e23),
inference(copy,[status(thm)],[c_243]) ).
cnf(c_246,plain,
op2(e22,e23) != op2(e22,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_247,plain,
op2(e22,e21) != op2(e22,e23),
inference(copy,[status(thm)],[c_246]) ).
cnf(c_248,plain,
op2(e22,e23) != op2(e22,e22),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_249,plain,
op2(e22,e22) != op2(e22,e23),
inference(copy,[status(thm)],[c_248]) ).
cnf(c_250,plain,
op2(e23,e21) != op2(e23,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_251,plain,
op2(e23,e22) != op2(e23,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_252,plain,
op2(e23,e23) != op2(e23,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_253,plain,
op2(e23,e20) != op2(e23,e23),
inference(copy,[status(thm)],[c_252]) ).
cnf(c_254,plain,
op2(e23,e22) != op2(e23,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_257,plain,
op2(e23,e23) != op2(e23,e22),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_258,plain,
op2(e23,e22) != op2(e23,e23),
inference(copy,[status(thm)],[c_257]) ).
cnf(c_259,plain,
e11 != e10,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_260,plain,
e12 != e10,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_261,plain,
e13 != e10,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_262,plain,
e10 != e13,
inference(copy,[status(thm)],[c_261]) ).
cnf(c_263,plain,
e12 != e11,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_264,plain,
e13 != e11,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_265,plain,
e11 != e13,
inference(copy,[status(thm)],[c_264]) ).
cnf(c_266,plain,
e13 != e12,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_267,plain,
e12 != e13,
inference(copy,[status(thm)],[c_266]) ).
cnf(c_268,plain,
e21 != e20,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_269,plain,
e22 != e20,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_270,plain,
e23 != e20,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_271,plain,
e20 != e23,
inference(copy,[status(thm)],[c_270]) ).
cnf(c_272,plain,
e22 != e21,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_273,plain,
e23 != e21,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_274,plain,
e21 != e23,
inference(copy,[status(thm)],[c_273]) ).
cnf(c_275,plain,
e23 != e22,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_276,plain,
e22 != e23,
inference(copy,[status(thm)],[c_275]) ).
cnf(c_307,plain,
( op1(e13,op1(e13,e11)) = e13
| op1(e12,op1(e12,e11)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e11)) = e10 ),
inference(clausify,[status(thm)],[ax10]) ).
cnf(c_308,plain,
( op1(e13,op1(e13,e12)) = e13
| op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e12)) = e11
| op1(e10,op1(e10,e12)) = e10 ),
inference(clausify,[status(thm)],[ax10]) ).
cnf(c_309,plain,
( op1(e13,op1(e13,e13)) = e13
| op1(e12,op1(e12,e13)) = e12
| op1(e11,op1(e11,e13)) = e11
| op1(e10,op1(e10,e13)) = e10 ),
inference(clausify,[status(thm)],[ax10]) ).
fof(def_defn_00,definition,
( defn_00
<=> ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_00])],[]) ).
fof(def_defn_10,definition,
( defn_10
<=> ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_10])],[]) ).
fof(def_defn_20,definition,
( defn_20
<=> ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_20])],[]) ).
fof(def_defn_30,definition,
( defn_30
<=> ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 ) ),
introduced(definition,[new_symbols(definition,[defn_30])],[]) ).
fof(def_defn_40,definition,
( defn_40
<=> ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 ) ),
introduced(definition,[new_symbols(definition,[defn_40])],[]) ).
fof(def_defn_50,definition,
( defn_50
<=> ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 ) ),
introduced(definition,[new_symbols(definition,[defn_50])],[]) ).
fof(def_defn_60,definition,
( defn_60
<=> ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 ) ),
introduced(definition,[new_symbols(definition,[defn_60])],[]) ).
fof(def_defn_70,definition,
( defn_70
<=> ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ),
introduced(definition,[new_symbols(definition,[defn_70])],[]) ).
fof(def_defn_80,definition,
( defn_80
<=> ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 ) ),
introduced(definition,[new_symbols(definition,[defn_80])],[]) ).
cnf(c_377,plain,
( op1(e12,e13) = e13
| op1(e13,e13) != e11
| op1(e10,e13) = e13
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(clausify,[status(thm)],[ax10,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]) ).
cnf(c_449,plain,
( op1(e12,e13) = e13
| op1(e13,e13) != e11
| op1(e11,e11) != e10
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(clausify,[status(thm)],[ax10,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]) ).
cnf(c_531,plain,
( op1(e12,e13) = e12
| ~ defn_80 ),
inference(clausify,[status(thm)],[ax10,def_defn_80]) ).
cnf(c_532,plain,
( op1(e13,e13) != e11
| ~ defn_70 ),
inference(clausify,[status(thm)],[ax10,def_defn_70]) ).
cnf(c_540,plain,
( op1(e11,e11) != e10
| ~ defn_60 ),
inference(clausify,[status(thm)],[ax10,def_defn_60]) ).
cnf(c_542,plain,
( op1(e10,e12) = e12
| ~ defn_60 ),
inference(clausify,[status(thm)],[ax10,def_defn_60]) ).
cnf(c_548,plain,
( op1(e13,e11) = e11
| ~ defn_50 ),
inference(clausify,[status(thm)],[ax10,def_defn_50]) ).
cnf(c_551,plain,
( op1(e12,e12) != e12
| ~ defn_40 ),
inference(clausify,[status(thm)],[ax10,def_defn_40]) ).
cnf(c_554,plain,
( op1(e12,e11) = e11
| ~ defn_40 ),
inference(clausify,[status(thm)],[ax10,def_defn_40]) ).
cnf(c_555,plain,
( op1(e11,e12) = e11
| ~ defn_40 ),
inference(clausify,[status(thm)],[ax10,def_defn_40]) ).
cnf(c_558,plain,
( op1(e11,e11) != e10
| ~ defn_30 ),
inference(clausify,[status(thm)],[ax10,def_defn_30]) ).
cnf(c_560,plain,
( op1(e10,e11) = e11
| ~ defn_30 ),
inference(clausify,[status(thm)],[ax10,def_defn_30]) ).
cnf(c_567,plain,
( op1(e10,e13) = e10
| ~ defn_20 ),
inference(clausify,[status(thm)],[ax10,def_defn_20]) ).
cnf(c_572,plain,
( op1(e12,e10) = e10
| ~ defn_10 ),
inference(clausify,[status(thm)],[ax10,def_defn_10]) ).
cnf(c_574,plain,
( op1(e13,e13) != e11
| ~ defn_00 ),
inference(clausify,[status(thm)],[ax10,def_defn_00]) ).
cnf(c_581,plain,
( op2(e23,op2(e23,e21)) = e23
| op2(e22,op2(e22,e21)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e20,e21)) = e20 ),
inference(clausify,[status(thm)],[ax11]) ).
cnf(c_582,plain,
( op2(e23,op2(e23,e22)) = e23
| op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e22)) = e21
| op2(e20,op2(e20,e22)) = e20 ),
inference(clausify,[status(thm)],[ax11]) ).
cnf(c_583,plain,
( op2(e23,op2(e23,e23)) = e23
| op2(e22,op2(e22,e23)) = e22
| op2(e21,op2(e21,e23)) = e21
| op2(e20,op2(e20,e23)) = e20 ),
inference(clausify,[status(thm)],[ax11]) ).
fof(def_defn_90,definition,
( defn_90
<=> ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_90])],[]) ).
fof(def_defn_100,definition,
( defn_100
<=> ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_100])],[]) ).
fof(def_defn_110,definition,
( defn_110
<=> ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_110])],[]) ).
fof(def_defn_120,definition,
( defn_120
<=> ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 ) ),
introduced(definition,[new_symbols(definition,[defn_120])],[]) ).
fof(def_defn_130,definition,
( defn_130
<=> ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 ) ),
introduced(definition,[new_symbols(definition,[defn_130])],[]) ).
fof(def_defn_140,definition,
( defn_140
<=> ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 ) ),
introduced(definition,[new_symbols(definition,[defn_140])],[]) ).
fof(def_defn_150,definition,
( defn_150
<=> ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
introduced(definition,[new_symbols(definition,[defn_150])],[]) ).
fof(def_defn_160,definition,
( defn_160
<=> ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
introduced(definition,[new_symbols(definition,[defn_160])],[]) ).
fof(def_defn_170,definition,
( defn_170
<=> ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 ) ),
introduced(definition,[new_symbols(definition,[defn_170])],[]) ).
cnf(c_651,plain,
( op2(e22,e23) = e23
| op2(e23,e23) != e21
| op2(e20,e23) = e23
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90 ),
inference(clausify,[status(thm)],[ax11,def_defn_90,def_defn_100,def_defn_110,def_defn_120,def_defn_130,def_defn_140,def_defn_150,def_defn_160,def_defn_170]) ).
cnf(c_723,plain,
( op2(e22,e23) = e23
| op2(e23,e23) != e21
| op2(e21,e21) != e20
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90 ),
inference(clausify,[status(thm)],[ax11,def_defn_90,def_defn_100,def_defn_110,def_defn_120,def_defn_130,def_defn_140,def_defn_150,def_defn_160,def_defn_170]) ).
cnf(c_805,plain,
( op2(e22,e23) = e22
| ~ defn_170 ),
inference(clausify,[status(thm)],[ax11,def_defn_170]) ).
cnf(c_806,plain,
( op2(e23,e23) != e21
| ~ defn_160 ),
inference(clausify,[status(thm)],[ax11,def_defn_160]) ).
cnf(c_814,plain,
( op2(e21,e21) != e20
| ~ defn_150 ),
inference(clausify,[status(thm)],[ax11,def_defn_150]) ).
cnf(c_816,plain,
( op2(e20,e22) = e22
| ~ defn_150 ),
inference(clausify,[status(thm)],[ax11,def_defn_150]) ).
cnf(c_822,plain,
( op2(e23,e21) = e21
| ~ defn_140 ),
inference(clausify,[status(thm)],[ax11,def_defn_140]) ).
cnf(c_825,plain,
( op2(e22,e22) != e22
| ~ defn_130 ),
inference(clausify,[status(thm)],[ax11,def_defn_130]) ).
cnf(c_828,plain,
( op2(e22,e21) = e21
| ~ defn_130 ),
inference(clausify,[status(thm)],[ax11,def_defn_130]) ).
cnf(c_829,plain,
( op2(e21,e22) = e21
| ~ defn_130 ),
inference(clausify,[status(thm)],[ax11,def_defn_130]) ).
cnf(c_832,plain,
( op2(e21,e21) != e20
| ~ defn_120 ),
inference(clausify,[status(thm)],[ax11,def_defn_120]) ).
cnf(c_834,plain,
( op2(e20,e21) = e21
| ~ defn_120 ),
inference(clausify,[status(thm)],[ax11,def_defn_120]) ).
cnf(c_841,plain,
( op2(e20,e23) = e20
| ~ defn_110 ),
inference(clausify,[status(thm)],[ax11,def_defn_110]) ).
cnf(c_846,plain,
( op2(e22,e20) = e20
| ~ defn_100 ),
inference(clausify,[status(thm)],[ax11,def_defn_100]) ).
cnf(c_848,plain,
( op2(e23,e23) != e21
| ~ defn_90 ),
inference(clausify,[status(thm)],[ax11,def_defn_90]) ).
cnf(c_854,plain,
op1(op1(e13,op1(e13,e13)),e13) = e10,
inference(clausify,[status(thm)],[ax12]) ).
cnf(c_855,plain,
op1(e13,e13) = e11,
inference(clausify,[status(thm)],[ax12]) ).
cnf(c_856,plain,
op1(e13,op1(e13,e13)) = e12,
inference(clausify,[status(thm)],[ax12]) ).
cnf(c_857,plain,
op1(e13,e11) = e12,
inference(paramod,[status(thm)],[c_855,c_856]) ).
cnf(c_858,plain,
op2(op2(e23,op2(e23,e23)),e23) = e20,
inference(clausify,[status(thm)],[ax13]) ).
cnf(c_859,plain,
op2(e23,e23) = e21,
inference(clausify,[status(thm)],[ax13]) ).
cnf(c_860,plain,
op2(e23,op2(e23,e23)) = e22,
inference(clausify,[status(thm)],[ax13]) ).
cnf(c_861,plain,
op2(e23,e21) = e22,
inference(paramod,[status(thm)],[c_859,c_860]) ).
cnf(c_867,plain,
h2(e10) = op2(op2(e21,op2(e21,e21)),e21),
inference(clausify,[status(thm)],[ax15]) ).
cnf(c_869,plain,
h2(e12) = op2(e21,op2(e21,e21)),
inference(clausify,[status(thm)],[ax15]) ).
cnf(c_874,plain,
h4(e13) = e23,
inference(clausify,[status(thm)],[ax17]) ).
cnf(c_875,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(clausify,[status(thm)],[ax17]) ).
cnf(c_8193,plain,
h4(e10) = op2(op2(e23,e21),e23),
inference(paramod,[status(thm)],[c_859,c_875]) ).
cnf(c_876,plain,
h4(e10) = op2(e22,e23),
inference(paramod,[status(thm)],[c_861,c_8193]) ).
cnf(c_877,plain,
h4(e11) = op2(e23,e23),
inference(clausify,[status(thm)],[ax17]) ).
cnf(c_878,plain,
h4(e11) = e21,
inference(paramod,[status(thm)],[c_859,c_877]) ).
cnf(c_879,plain,
h4(e12) = op2(e23,op2(e23,e23)),
inference(clausify,[status(thm)],[ax17]) ).
cnf(c_8194,plain,
h4(e12) = op2(e23,e21),
inference(paramod,[status(thm)],[c_859,c_879]) ).
cnf(c_880,plain,
h4(e12) = e22,
inference(paramod,[status(thm)],[c_861,c_8194]) ).
cnf(c_2007,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_8195,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(op2(e22,e23),h4(e10)) ),
inference(paramod,[status(thm)],[c_876,c_2007]) ).
cnf(c_8196,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_876,c_8195]) ).
cnf(c_8197,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(op2(e22,e23),h4(e11))
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_876,c_8196]) ).
cnf(c_8198,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_878,c_8197]) ).
cnf(c_8199,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(op2(e22,e23),h4(e12))
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_876,c_8198]) ).
cnf(c_8200,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_880,c_8199]) ).
cnf(c_8201,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(op2(e22,e23),h4(e13))
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_876,c_8200]) ).
cnf(c_8202,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_874,c_8201]) ).
cnf(c_8203,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(e21,h4(e10))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_878,c_8202]) ).
cnf(c_8204,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_876,c_8203]) ).
cnf(c_8205,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(e21,h4(e11))
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_878,c_8204]) ).
cnf(c_8206,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_878,c_8205]) ).
cnf(c_8207,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(e21,h4(e12))
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_878,c_8206]) ).
cnf(c_8208,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_880,c_8207]) ).
cnf(c_8209,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(e21,h4(e13))
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_878,c_8208]) ).
cnf(c_8210,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_874,c_8209]) ).
cnf(c_8211,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(e22,h4(e10))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_880,c_8210]) ).
cnf(c_8212,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_876,c_8211]) ).
cnf(c_8213,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_880,c_8212]) ).
cnf(c_8214,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_878,c_8213]) ).
cnf(c_8215,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(e22,h4(e12))
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_880,c_8214]) ).
cnf(c_8216,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_880,c_8215]) ).
cnf(c_8217,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(e22,h4(e13))
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_880,c_8216]) ).
cnf(c_8218,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_874,c_8217]) ).
cnf(c_8219,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_874,c_8218]) ).
cnf(c_8220,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_876,c_8219]) ).
cnf(c_8221,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(e12) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_857,c_8220]) ).
cnf(c_8222,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| e22 != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_880,c_8221]) ).
cnf(c_8223,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| e22 != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_874,c_8222]) ).
cnf(c_8224,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| e22 != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_878,c_8223]) ).
cnf(c_8225,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| e22 != e22
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_861,c_8224]) ).
cnf(c_8226,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| e22 != e22
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_874,c_8225]) ).
cnf(c_8227,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(e23,e22)
| e22 != e22
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_880,c_8226]) ).
cnf(c_8228,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(e11) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(e23,e22)
| e22 != e22
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_855,c_8227]) ).
cnf(c_8229,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| e21 != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(e23,e22)
| e22 != e22
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_878,c_8228]) ).
cnf(c_8230,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| e21 != op2(e23,h4(e13))
| h4(op1(e13,e12)) != op2(e23,e22)
| e22 != e22
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_874,c_8229]) ).
cnf(c_8231,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| e21 != op2(e23,e23)
| h4(op1(e13,e12)) != op2(e23,e22)
| e22 != e22
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_874,c_8230]) ).
cnf(c_8232,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| e21 != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| e22 != e22
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_859,c_8231]) ).
cnf(c_8233,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| op2(e22,e23) != e20
| e21 != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| e22 != e22
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_876,c_8232]) ).
cnf(c_8234,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| e21 != e21
| op2(e22,e23) != e20
| e21 != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| e22 != e22
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_878,c_8233]) ).
cnf(c_8235,negated_conjecture,
( h4(e13) != e23
| e22 != e22
| e21 != e21
| op2(e22,e23) != e20
| e21 != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| e22 != e22
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_880,c_8234]) ).
cnf(c_8236,negated_conjecture,
( e23 != e23
| e22 != e22
| e21 != e21
| op2(e22,e23) != e20
| e21 != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| e22 != e22
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_874,c_8235]) ).
cnf(c_8237,negated_conjecture,
( e23 != e23
| e22 != e22
| e21 != e21
| op2(e22,e23) != e20
| e21 != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(copy,[status(thm)],[c_8236]) ).
cnf(c_8238,negated_conjecture,
( e23 != e23
| e22 != e22
| e21 != e21
| op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(copy,[status(thm)],[c_8237]) ).
cnf(c_8239,negated_conjecture,
( e23 != e23
| e22 != e22
| op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(copy,[status(thm)],[c_8238]) ).
cnf(c_8240,negated_conjecture,
( e23 != e23
| op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(copy,[status(thm)],[c_8239]) ).
cnf(c_2008,negated_conjecture,
( op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(op2(e22,e23),op2(e22,e23)) ),
inference(copy,[status(thm)],[c_8240]) ).
cnf(c_8241,plain,
op1(op1(e13,e11),e13) = e10,
inference(paramod,[status(thm)],[c_855,c_854]) ).
cnf(c_2237,plain,
op1(e12,e13) = e10,
inference(paramod,[status(thm)],[c_857,c_8241]) ).
cnf(c_8242,plain,
( e11 != e11
| ~ defn_00 ),
inference(paramod,[status(thm)],[c_855,c_574]) ).
cnf(c_2238,plain,
~ defn_00,
inference(copy,[status(thm)],[c_8242]) ).
cnf(c_8243,plain,
( e11 != e11
| ~ defn_70 ),
inference(paramod,[status(thm)],[c_855,c_532]) ).
cnf(c_2239,plain,
~ defn_70,
inference(copy,[status(thm)],[c_8243]) ).
cnf(c_8244,plain,
( op1(e12,e13) = e13
| e11 != e11
| op1(e11,e11) != e10
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_855,c_449]) ).
cnf(c_8245,plain,
( e10 = e13
| e11 != e11
| op1(e11,e11) != e10
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_2237,c_8244]) ).
cnf(c_8246,plain,
( e10 = e13
| op1(e11,e11) != e10
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(copy,[status(thm)],[c_8245]) ).
cnf(c_8247,plain,
( e10 = e13
| op1(e11,e11) != e10
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_2238,c_8246]) ).
cnf(c_8248,plain,
( e10 = e13
| op1(e11,e11) != e10
| defn_80
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_2239,c_8247]) ).
cnf(c_2247,plain,
( op1(e11,e11) != e10
| defn_80
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_262,c_8248]) ).
cnf(c_8249,plain,
( op1(e12,e13) = e13
| e11 != e11
| op1(e10,e13) = e13
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_855,c_377]) ).
cnf(c_8250,plain,
( e10 = e13
| e11 != e11
| op1(e10,e13) = e13
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_2237,c_8249]) ).
cnf(c_8251,plain,
( e10 = e13
| op1(e10,e13) = e13
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(copy,[status(thm)],[c_8250]) ).
cnf(c_8252,plain,
( e10 = e13
| op1(e10,e13) = e13
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_2238,c_8251]) ).
cnf(c_8253,plain,
( e10 = e13
| op1(e10,e13) = e13
| defn_80
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_2239,c_8252]) ).
cnf(c_2255,plain,
( op1(e10,e13) = e13
| defn_80
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_262,c_8253]) ).
cnf(c_8254,plain,
( op1(e13,op1(e13,e13)) = e13
| op1(e12,e10) = e12
| op1(e11,op1(e11,e13)) = e11
| op1(e10,op1(e10,e13)) = e10 ),
inference(paramod,[status(thm)],[c_2237,c_309]) ).
cnf(c_8255,plain,
( op1(e13,e11) = e13
| op1(e12,e10) = e12
| op1(e11,op1(e11,e13)) = e11
| op1(e10,op1(e10,e13)) = e10 ),
inference(paramod,[status(thm)],[c_855,c_8254]) ).
cnf(c_8256,plain,
( e12 = e13
| op1(e12,e10) = e12
| op1(e11,op1(e11,e13)) = e11
| op1(e10,op1(e10,e13)) = e10 ),
inference(paramod,[status(thm)],[c_857,c_8255]) ).
cnf(c_2260,plain,
( op1(e12,e10) = e12
| op1(e11,op1(e11,e13)) = e11
| op1(e10,op1(e10,e13)) = e10 ),
inference(resolve,[status(thm)],[c_267,c_8256]) ).
cnf(c_2261,plain,
op1(e13,e12) != e11,
inference(paramod,[status(thm)],[c_855,c_186]) ).
cnf(c_2262,plain,
op1(e13,e10) != e11,
inference(paramod,[status(thm)],[c_855,c_181]) ).
cnf(c_2263,plain,
op1(e11,e13) != e11,
inference(paramod,[status(thm)],[c_855,c_148]) ).
cnf(c_2264,plain,
op1(e10,e13) != e11,
inference(paramod,[status(thm)],[c_855,c_145]) ).
cnf(c_8257,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| e12 = e13
| op1(e13,e10) = e13 ),
inference(paramod,[status(thm)],[c_857,c_65]) ).
cnf(c_8258,plain,
( e11 = e13
| op1(e13,e12) = e13
| e12 = e13
| op1(e13,e10) = e13 ),
inference(paramod,[status(thm)],[c_855,c_8257]) ).
cnf(c_8259,plain,
( e11 = e13
| op1(e13,e12) = e13
| op1(e13,e10) = e13 ),
inference(resolve,[status(thm)],[c_267,c_8258]) ).
cnf(c_2266,plain,
( op1(e13,e12) = e13
| op1(e13,e10) = e13 ),
inference(resolve,[status(thm)],[c_265,c_8259]) ).
cnf(c_8260,plain,
( op1(e13,e13) = e12
| e10 = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(paramod,[status(thm)],[c_2237,c_64]) ).
cnf(c_8261,plain,
( e11 = e12
| e10 = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(paramod,[status(thm)],[c_855,c_8260]) ).
cnf(c_8262,plain,
( e11 = e12
| e12 = e10
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(copy,[status(thm)],[c_8261]) ).
cnf(c_8263,plain,
( e12 = e11
| e12 = e10
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(copy,[status(thm)],[c_8262]) ).
cnf(c_8264,plain,
( e12 = e11
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(resolve,[status(thm)],[c_260,c_8263]) ).
cnf(c_2267,plain,
( op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(resolve,[status(thm)],[c_263,c_8264]) ).
cnf(c_8265,plain,
( e12 = e11
| ~ defn_50 ),
inference(paramod,[status(thm)],[c_857,c_548]) ).
cnf(c_2269,plain,
~ defn_50,
inference(resolve,[status(thm)],[c_263,c_8265]) ).
cnf(c_2290,plain,
( op1(e13,e12) = e13
| op1(e12,op1(e12,e11)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e11)) = e10 ),
inference(paramod,[status(thm)],[c_857,c_307]) ).
cnf(c_2291,plain,
op1(e13,e12) != e12,
inference(paramod,[status(thm)],[c_857,c_182]) ).
cnf(c_8266,plain,
e12 != op1(e13,e10),
inference(paramod,[status(thm)],[c_857,c_178]) ).
cnf(c_2292,plain,
op1(e13,e10) != e12,
inference(copy,[status(thm)],[c_8266]) ).
cnf(c_2293,plain,
op1(e12,e11) != e12,
inference(paramod,[status(thm)],[c_857,c_132]) ).
cnf(c_2294,plain,
op1(e11,e11) != e12,
inference(paramod,[status(thm)],[c_857,c_130]) ).
cnf(c_2295,plain,
op1(e10,e11) != e12,
inference(paramod,[status(thm)],[c_857,c_127]) ).
cnf(c_8267,plain,
( e12 = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(paramod,[status(thm)],[c_857,c_50]) ).
cnf(c_2296,plain,
( op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[status(thm)],[c_267,c_8267]) ).
cnf(c_8268,plain,
( e12 = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(paramod,[status(thm)],[c_857,c_46]) ).
cnf(c_2297,plain,
( op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[status(thm)],[c_263,c_8268]) ).
cnf(c_8269,plain,
( e12 = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_857,c_44]) ).
cnf(c_2298,plain,
( op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_260,c_8269]) ).
cnf(c_8270,plain,
op2(op2(e23,e21),e23) = e20,
inference(paramod,[status(thm)],[c_859,c_858]) ).
cnf(c_2299,plain,
op2(e22,e23) = e20,
inference(paramod,[status(thm)],[c_861,c_8270]) ).
cnf(c_8271,plain,
( e21 != e21
| ~ defn_90 ),
inference(paramod,[status(thm)],[c_859,c_848]) ).
cnf(c_2300,plain,
~ defn_90,
inference(copy,[status(thm)],[c_8271]) ).
cnf(c_8272,plain,
( e21 != e21
| ~ defn_160 ),
inference(paramod,[status(thm)],[c_859,c_806]) ).
cnf(c_2301,plain,
~ defn_160,
inference(copy,[status(thm)],[c_8272]) ).
cnf(c_8273,plain,
( op2(e22,e23) = e23
| e21 != e21
| op2(e21,e21) != e20
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90 ),
inference(paramod,[status(thm)],[c_859,c_723]) ).
cnf(c_8274,plain,
( e20 = e23
| e21 != e21
| op2(e21,e21) != e20
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90 ),
inference(paramod,[status(thm)],[c_2299,c_8273]) ).
cnf(c_8275,plain,
( e20 = e23
| op2(e21,e21) != e20
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90 ),
inference(copy,[status(thm)],[c_8274]) ).
cnf(c_8276,plain,
( e20 = e23
| op2(e21,e21) != e20
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100 ),
inference(resolve,[status(thm)],[c_2300,c_8275]) ).
cnf(c_8277,plain,
( e20 = e23
| op2(e21,e21) != e20
| defn_170
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100 ),
inference(resolve,[status(thm)],[c_2301,c_8276]) ).
cnf(c_2309,plain,
( op2(e21,e21) != e20
| defn_170
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100 ),
inference(resolve,[status(thm)],[c_271,c_8277]) ).
cnf(c_8278,plain,
( op2(e22,e23) = e23
| e21 != e21
| op2(e20,e23) = e23
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90 ),
inference(paramod,[status(thm)],[c_859,c_651]) ).
cnf(c_8279,plain,
( e20 = e23
| e21 != e21
| op2(e20,e23) = e23
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90 ),
inference(paramod,[status(thm)],[c_2299,c_8278]) ).
cnf(c_8280,plain,
( e20 = e23
| op2(e20,e23) = e23
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90 ),
inference(copy,[status(thm)],[c_8279]) ).
cnf(c_8281,plain,
( e20 = e23
| op2(e20,e23) = e23
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100 ),
inference(resolve,[status(thm)],[c_2300,c_8280]) ).
cnf(c_8282,plain,
( e20 = e23
| op2(e20,e23) = e23
| defn_170
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100 ),
inference(resolve,[status(thm)],[c_2301,c_8281]) ).
cnf(c_2317,plain,
( op2(e20,e23) = e23
| defn_170
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100 ),
inference(resolve,[status(thm)],[c_271,c_8282]) ).
cnf(c_8283,plain,
( op2(e23,op2(e23,e23)) = e23
| op2(e22,e20) = e22
| op2(e21,op2(e21,e23)) = e21
| op2(e20,op2(e20,e23)) = e20 ),
inference(paramod,[status(thm)],[c_2299,c_583]) ).
cnf(c_8284,plain,
( op2(e23,e21) = e23
| op2(e22,e20) = e22
| op2(e21,op2(e21,e23)) = e21
| op2(e20,op2(e20,e23)) = e20 ),
inference(paramod,[status(thm)],[c_859,c_8283]) ).
cnf(c_8285,plain,
( e22 = e23
| op2(e22,e20) = e22
| op2(e21,op2(e21,e23)) = e21
| op2(e20,op2(e20,e23)) = e20 ),
inference(paramod,[status(thm)],[c_861,c_8284]) ).
cnf(c_2322,plain,
( op2(e22,e20) = e22
| op2(e21,op2(e21,e23)) = e21
| op2(e20,op2(e20,e23)) = e20 ),
inference(resolve,[status(thm)],[c_276,c_8285]) ).
cnf(c_2323,plain,
op2(e23,e22) != e21,
inference(paramod,[status(thm)],[c_859,c_258]) ).
cnf(c_2324,plain,
op2(e23,e20) != e21,
inference(paramod,[status(thm)],[c_859,c_253]) ).
cnf(c_2325,plain,
op2(e21,e23) != e21,
inference(paramod,[status(thm)],[c_859,c_220]) ).
cnf(c_2326,plain,
op2(e20,e23) != e21,
inference(paramod,[status(thm)],[c_859,c_217]) ).
cnf(c_8286,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| e22 = e23
| op2(e23,e20) = e23 ),
inference(paramod,[status(thm)],[c_861,c_113]) ).
cnf(c_8287,plain,
( e21 = e23
| op2(e23,e22) = e23
| e22 = e23
| op2(e23,e20) = e23 ),
inference(paramod,[status(thm)],[c_859,c_8286]) ).
cnf(c_8288,plain,
( e21 = e23
| op2(e23,e22) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[status(thm)],[c_276,c_8287]) ).
cnf(c_2328,plain,
( op2(e23,e22) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[status(thm)],[c_274,c_8288]) ).
cnf(c_8289,plain,
( op2(e23,e23) = e22
| e20 = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(paramod,[status(thm)],[c_2299,c_112]) ).
cnf(c_8290,plain,
( e21 = e22
| e20 = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(paramod,[status(thm)],[c_859,c_8289]) ).
cnf(c_8291,plain,
( e21 = e22
| e22 = e20
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(copy,[status(thm)],[c_8290]) ).
cnf(c_8292,plain,
( e22 = e21
| e22 = e20
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(copy,[status(thm)],[c_8291]) ).
cnf(c_8293,plain,
( e22 = e21
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[status(thm)],[c_269,c_8292]) ).
cnf(c_2329,plain,
( op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[status(thm)],[c_272,c_8293]) ).
cnf(c_8294,plain,
( e22 = e21
| ~ defn_140 ),
inference(paramod,[status(thm)],[c_861,c_822]) ).
cnf(c_2331,plain,
~ defn_140,
inference(resolve,[status(thm)],[c_272,c_8294]) ).
cnf(c_2352,plain,
( op2(e23,e22) = e23
| op2(e22,op2(e22,e21)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e20,e21)) = e20 ),
inference(paramod,[status(thm)],[c_861,c_581]) ).
cnf(c_2353,plain,
op2(e23,e22) != e22,
inference(paramod,[status(thm)],[c_861,c_254]) ).
cnf(c_8295,plain,
e22 != op2(e23,e20),
inference(paramod,[status(thm)],[c_861,c_250]) ).
cnf(c_2354,plain,
op2(e23,e20) != e22,
inference(copy,[status(thm)],[c_8295]) ).
cnf(c_2355,plain,
op2(e22,e21) != e22,
inference(paramod,[status(thm)],[c_861,c_204]) ).
cnf(c_2356,plain,
op2(e21,e21) != e22,
inference(paramod,[status(thm)],[c_861,c_202]) ).
cnf(c_2357,plain,
op2(e20,e21) != e22,
inference(paramod,[status(thm)],[c_861,c_199]) ).
cnf(c_8296,plain,
( e22 = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(paramod,[status(thm)],[c_861,c_98]) ).
cnf(c_2358,plain,
( op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[status(thm)],[c_276,c_8296]) ).
cnf(c_8297,plain,
( e22 = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(paramod,[status(thm)],[c_861,c_94]) ).
cnf(c_2359,plain,
( op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(resolve,[status(thm)],[c_272,c_8297]) ).
cnf(c_8298,plain,
( e22 = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(paramod,[status(thm)],[c_861,c_92]) ).
cnf(c_2360,plain,
( op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(resolve,[status(thm)],[c_269,c_8298]) ).
cnf(c_8299,negated_conjecture,
( op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(e20,op2(e22,e23)) ),
inference(paramod,[status(thm)],[c_2299,c_2008]) ).
cnf(c_8300,negated_conjecture,
( op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(op2(e22,e23),e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_2299,c_8299]) ).
cnf(c_8301,negated_conjecture,
( op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(op2(e22,e23),e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_2299,c_8300]) ).
cnf(c_8302,negated_conjecture,
( op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(op2(e22,e23),e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_2299,c_8301]) ).
cnf(c_8303,negated_conjecture,
( op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,op2(e22,e23))
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_2299,c_8302]) ).
cnf(c_8304,negated_conjecture,
( op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,op2(e22,e23))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_2299,c_8303]) ).
cnf(c_8305,negated_conjecture,
( op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_2299,c_8304]) ).
cnf(c_8306,negated_conjecture,
( op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| h4(e10) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_2237,c_8305]) ).
cnf(c_8307,negated_conjecture,
( op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| op2(e22,e23) != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_876,c_8306]) ).
cnf(c_8308,negated_conjecture,
( op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| e20 != op2(e22,e23)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_2299,c_8307]) ).
cnf(c_8309,negated_conjecture,
( op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,op2(e22,e23))
| e20 != e20
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_2299,c_8308]) ).
cnf(c_8310,negated_conjecture,
( op2(e22,e23) != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| e20 != e20
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_2299,c_8309]) ).
cnf(c_8311,negated_conjecture,
( e20 != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| e20 != e20
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_2299,c_8310]) ).
cnf(c_8312,negated_conjecture,
( e20 != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(copy,[status(thm)],[c_8311]) ).
cnf(c_2361,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(copy,[status(thm)],[c_8312]) ).
cnf(c_8313,plain,
( e10 = e12
| ~ defn_80 ),
inference(paramod,[status(thm)],[c_2237,c_531]) ).
cnf(c_8314,plain,
( e12 = e10
| ~ defn_80 ),
inference(copy,[status(thm)],[c_8313]) ).
cnf(c_2434,plain,
~ defn_80,
inference(resolve,[status(thm)],[c_260,c_8314]) ).
cnf(c_2454,plain,
op1(e12,e12) != e10,
inference(paramod,[status(thm)],[c_2237,c_177]) ).
cnf(c_2455,plain,
op1(e12,e11) != e10,
inference(paramod,[status(thm)],[c_2237,c_175]) ).
cnf(c_2456,plain,
op1(e12,e10) != e10,
inference(paramod,[status(thm)],[c_2237,c_172]) ).
cnf(c_8315,plain,
e10 != op1(e11,e13),
inference(paramod,[status(thm)],[c_2237,c_146]) ).
cnf(c_2457,plain,
op1(e11,e13) != e10,
inference(copy,[status(thm)],[c_8315]) ).
cnf(c_8316,plain,
e10 != op1(e10,e13),
inference(paramod,[status(thm)],[c_2237,c_143]) ).
cnf(c_2458,plain,
op1(e10,e13) != e10,
inference(copy,[status(thm)],[c_8316]) ).
cnf(c_8317,plain,
( e10 = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(paramod,[status(thm)],[c_2237,c_55]) ).
cnf(c_8318,plain,
( e12 = e10
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(copy,[status(thm)],[c_8317]) ).
cnf(c_8319,plain,
( e12 = e10
| op1(e12,e12) = e12
| op1(e12,e10) = e12 ),
inference(resolve,[status(thm)],[c_2293,c_8318]) ).
cnf(c_2460,plain,
( op1(e12,e12) = e12
| op1(e12,e10) = e12 ),
inference(resolve,[status(thm)],[c_260,c_8319]) ).
cnf(c_2462,plain,
( op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[status(thm)],[c_2261,c_54]) ).
cnf(c_8320,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e10 ),
inference(resolve,[status(thm)],[c_2261,c_33]) ).
cnf(c_2463,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e10 ),
inference(resolve,[status(thm)],[c_2291,c_8320]) ).
cnf(c_8321,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e10 ),
inference(resolve,[status(thm)],[c_2262,c_31]) ).
cnf(c_2465,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e10 ),
inference(resolve,[status(thm)],[c_2292,c_8321]) ).
cnf(c_2466,plain,
( op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(resolve,[status(thm)],[c_2263,c_45]) ).
cnf(c_8322,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11 ),
inference(resolve,[status(thm)],[c_2457,c_26]) ).
cnf(c_2467,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12 ),
inference(resolve,[status(thm)],[c_2263,c_8322]) ).
cnf(c_2468,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(resolve,[status(thm)],[c_2264,c_37]) ).
cnf(c_8323,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11 ),
inference(resolve,[status(thm)],[c_2458,c_22]) ).
cnf(c_2469,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12 ),
inference(resolve,[status(thm)],[c_2264,c_8323]) ).
cnf(c_8324,plain,
( op1(e10,e13) = e13
| defn_80
| defn_60
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_2269,c_2255]) ).
cnf(c_2471,plain,
( op1(e10,e13) = e13
| defn_60
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_2434,c_8324]) ).
cnf(c_8325,plain,
( op1(e11,e11) != e10
| defn_80
| defn_60
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_2269,c_2247]) ).
cnf(c_2473,plain,
( op1(e11,e11) != e10
| defn_60
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_2434,c_8325]) ).
cnf(c_2475,plain,
( op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(resolve,[status(thm)],[c_2292,c_40]) ).
cnf(c_2477,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e10) = e12 ),
inference(resolve,[status(thm)],[c_2294,c_47]) ).
cnf(c_2478,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(resolve,[status(thm)],[c_2294,c_24]) ).
cnf(c_2479,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e10) = e12 ),
inference(resolve,[status(thm)],[c_2295,c_39]) ).
cnf(c_2480,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_2295,c_20]) ).
cnf(c_2481,plain,
h4(e10) = e20,
inference(paramod,[status(thm)],[c_2299,c_876]) ).
cnf(c_8326,plain,
( e20 = e22
| ~ defn_170 ),
inference(paramod,[status(thm)],[c_2299,c_805]) ).
cnf(c_8327,plain,
( e22 = e20
| ~ defn_170 ),
inference(copy,[status(thm)],[c_8326]) ).
cnf(c_2482,plain,
~ defn_170,
inference(resolve,[status(thm)],[c_269,c_8327]) ).
cnf(c_2502,plain,
op2(e22,e22) != e20,
inference(paramod,[status(thm)],[c_2299,c_249]) ).
cnf(c_2503,plain,
op2(e22,e21) != e20,
inference(paramod,[status(thm)],[c_2299,c_247]) ).
cnf(c_2504,plain,
op2(e22,e20) != e20,
inference(paramod,[status(thm)],[c_2299,c_244]) ).
cnf(c_8328,plain,
e20 != op2(e21,e23),
inference(paramod,[status(thm)],[c_2299,c_218]) ).
cnf(c_2505,plain,
op2(e21,e23) != e20,
inference(copy,[status(thm)],[c_8328]) ).
cnf(c_8329,plain,
e20 != op2(e20,e23),
inference(paramod,[status(thm)],[c_2299,c_215]) ).
cnf(c_2506,plain,
op2(e20,e23) != e20,
inference(copy,[status(thm)],[c_8329]) ).
cnf(c_8330,plain,
( e20 = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(paramod,[status(thm)],[c_2299,c_103]) ).
cnf(c_8331,plain,
( e22 = e20
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(copy,[status(thm)],[c_8330]) ).
cnf(c_8332,plain,
( e22 = e20
| op2(e22,e22) = e22
| op2(e22,e20) = e22 ),
inference(resolve,[status(thm)],[c_2355,c_8331]) ).
cnf(c_2508,plain,
( op2(e22,e22) = e22
| op2(e22,e20) = e22 ),
inference(resolve,[status(thm)],[c_269,c_8332]) ).
cnf(c_2510,plain,
( op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[status(thm)],[c_2323,c_102]) ).
cnf(c_8333,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e20 ),
inference(resolve,[status(thm)],[c_2323,c_81]) ).
cnf(c_2511,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e20 ),
inference(resolve,[status(thm)],[c_2353,c_8333]) ).
cnf(c_8334,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e20 ),
inference(resolve,[status(thm)],[c_2324,c_79]) ).
cnf(c_2513,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e20 ),
inference(resolve,[status(thm)],[c_2354,c_8334]) ).
cnf(c_2514,plain,
( op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(resolve,[status(thm)],[c_2325,c_93]) ).
cnf(c_8335,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21 ),
inference(resolve,[status(thm)],[c_2505,c_74]) ).
cnf(c_2515,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22 ),
inference(resolve,[status(thm)],[c_2325,c_8335]) ).
cnf(c_2516,plain,
( op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(resolve,[status(thm)],[c_2326,c_85]) ).
cnf(c_8336,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21 ),
inference(resolve,[status(thm)],[c_2506,c_70]) ).
cnf(c_2517,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22 ),
inference(resolve,[status(thm)],[c_2326,c_8336]) ).
cnf(c_8337,plain,
( op2(e20,e23) = e23
| defn_170
| defn_150
| defn_130
| defn_120
| defn_110
| defn_100 ),
inference(resolve,[status(thm)],[c_2331,c_2317]) ).
cnf(c_2519,plain,
( op2(e20,e23) = e23
| defn_150
| defn_130
| defn_120
| defn_110
| defn_100 ),
inference(resolve,[status(thm)],[c_2482,c_8337]) ).
cnf(c_8338,plain,
( op2(e21,e21) != e20
| defn_170
| defn_150
| defn_130
| defn_120
| defn_110
| defn_100 ),
inference(resolve,[status(thm)],[c_2331,c_2309]) ).
cnf(c_2521,plain,
( op2(e21,e21) != e20
| defn_150
| defn_130
| defn_120
| defn_110
| defn_100 ),
inference(resolve,[status(thm)],[c_2482,c_8338]) ).
cnf(c_2523,plain,
( op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(resolve,[status(thm)],[c_2354,c_88]) ).
cnf(c_2525,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e20) = e22 ),
inference(resolve,[status(thm)],[c_2356,c_95]) ).
cnf(c_2526,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(resolve,[status(thm)],[c_2356,c_72]) ).
cnf(c_2527,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e20) = e22 ),
inference(resolve,[status(thm)],[c_2357,c_87]) ).
cnf(c_2528,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(resolve,[status(thm)],[c_2357,c_68]) ).
cnf(c_2529,plain,
( op1(e13,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[status(thm)],[c_2454,c_52]) ).
cnf(c_2531,plain,
( op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_2455,c_2298]) ).
cnf(c_2532,plain,
~ defn_10,
inference(resolve,[status(thm)],[c_2456,c_572]) ).
cnf(c_2536,plain,
~ defn_20,
inference(resolve,[status(thm)],[c_2458,c_567]) ).
cnf(c_2538,plain,
( op2(e23,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[status(thm)],[c_2502,c_100]) ).
cnf(c_2540,plain,
( op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(resolve,[status(thm)],[c_2503,c_2360]) ).
cnf(c_2541,plain,
~ defn_100,
inference(resolve,[status(thm)],[c_2504,c_846]) ).
cnf(c_2545,plain,
~ defn_110,
inference(resolve,[status(thm)],[c_2506,c_841]) ).
cnf(c_8339,plain,
( op1(e11,e11) != e10
| defn_60
| defn_40
| defn_30
| defn_20 ),
inference(resolve,[status(thm)],[c_2532,c_2473]) ).
cnf(c_2547,plain,
( op1(e11,e11) != e10
| defn_60
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_2536,c_8339]) ).
cnf(c_8340,plain,
( op1(e10,e13) = e13
| defn_60
| defn_40
| defn_30
| defn_20 ),
inference(resolve,[status(thm)],[c_2532,c_2471]) ).
cnf(c_2549,plain,
( op1(e10,e13) = e13
| defn_60
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_2536,c_8340]) ).
cnf(c_8341,plain,
( op2(e21,e21) != e20
| defn_150
| defn_130
| defn_120
| defn_110 ),
inference(resolve,[status(thm)],[c_2541,c_2521]) ).
cnf(c_2551,plain,
( op2(e21,e21) != e20
| defn_150
| defn_130
| defn_120 ),
inference(resolve,[status(thm)],[c_2545,c_8341]) ).
cnf(c_8342,plain,
( op2(e20,e23) = e23
| defn_150
| defn_130
| defn_120
| defn_110 ),
inference(resolve,[status(thm)],[c_2541,c_2519]) ).
cnf(c_2553,plain,
( op2(e20,e23) = e23
| defn_150
| defn_130
| defn_120 ),
inference(resolve,[status(thm)],[c_2545,c_8342]) ).
cnf(c_8343,plain,
( e13 != op1(e13,e10)
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(paramod,[status(thm)],[c_23,c_121]) ).
cnf(c_2577,plain,
( op1(e13,e10) != e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(copy,[status(thm)],[c_8343]) ).
cnf(c_2615,plain,
( op1(e10,e12) != e12
| op1(e10,e10) = e13
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(paramod,[status(thm)],[c_19,c_152]) ).
cnf(c_8344,plain,
( e23 != op2(e23,e20)
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(paramod,[status(thm)],[c_71,c_193]) ).
cnf(c_2685,plain,
( op2(e23,e20) != e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(copy,[status(thm)],[c_8344]) ).
cnf(c_2723,plain,
( op2(e20,e22) != e22
| op2(e20,e20) = e23
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(paramod,[status(thm)],[c_67,c_224]) ).
cnf(c_8345,plain,
( op1(e13,e13) = e13
| op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e12)) = e11
| op1(e10,op1(e10,e12)) = e10
| op1(e13,e10) = e13 ),
inference(paramod,[status(thm)],[c_2266,c_308]) ).
cnf(c_8346,plain,
( e11 = e13
| op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e12)) = e11
| op1(e10,op1(e10,e12)) = e10
| op1(e13,e10) = e13 ),
inference(paramod,[status(thm)],[c_855,c_8345]) ).
cnf(c_2865,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e12)) = e11
| op1(e10,op1(e10,e12)) = e10
| op1(e13,e10) = e13 ),
inference(resolve,[status(thm)],[c_265,c_8346]) ).
cnf(c_2870,plain,
( op1(e11,e10) != e12
| op1(e10,e13) = e12 ),
inference(paramod,[status(thm)],[c_2267,c_163]) ).
cnf(c_8347,plain,
( op1(e13,e12) = e13
| op1(e12,e11) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e11)) = e10
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(paramod,[status(thm)],[c_2297,c_2290]) ).
cnf(c_2909,plain,
( op1(e13,e12) = e13
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e11)) = e10
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[status(thm)],[c_2293,c_8347]) ).
cnf(c_8348,plain,
( op2(e23,e23) = e23
| op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e22)) = e21
| op2(e20,op2(e20,e22)) = e20
| op2(e23,e20) = e23 ),
inference(paramod,[status(thm)],[c_2328,c_582]) ).
cnf(c_8349,plain,
( e21 = e23
| op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e22)) = e21
| op2(e20,op2(e20,e22)) = e20
| op2(e23,e20) = e23 ),
inference(paramod,[status(thm)],[c_859,c_8348]) ).
cnf(c_2933,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e22)) = e21
| op2(e20,op2(e20,e22)) = e20
| op2(e23,e20) = e23 ),
inference(resolve,[status(thm)],[c_274,c_8349]) ).
cnf(c_2938,plain,
( op2(e21,e20) != e22
| op2(e20,e23) = e22 ),
inference(paramod,[status(thm)],[c_2329,c_235]) ).
cnf(c_8350,plain,
( h2(e10) = op2(op2(e21,e23),e21)
| op2(e22,e21) = e23
| op2(e20,e21) = e23 ),
inference(paramod,[status(thm)],[c_2358,c_867]) ).
cnf(c_2966,plain,
( op2(op2(e21,op2(e21,e21)),e21) = op2(op2(e21,e23),e21)
| op2(e22,e21) = e23
| op2(e20,e21) = e23 ),
inference(paramod,[status(thm)],[c_867,c_8350]) ).
cnf(c_8351,plain,
( op2(e23,e22) = e23
| op2(e22,e21) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e20,e21)) = e20
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(paramod,[status(thm)],[c_2359,c_2352]) ).
cnf(c_2982,plain,
( op2(e23,e22) = e23
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e20,e21)) = e20
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(resolve,[status(thm)],[c_2355,c_8351]) ).
cnf(c_8352,plain,
( e13 != op1(e13,e10)
| op1(e13,e12) = e10 ),
inference(paramod,[status(thm)],[c_2463,c_179]) ).
cnf(c_3044,plain,
( op1(e13,e10) != e13
| op1(e13,e12) = e10 ),
inference(copy,[status(thm)],[c_8352]) ).
cnf(c_3066,plain,
( op1(e11,e10) != e13
| op1(e13,e10) = e10 ),
inference(paramod,[status(thm)],[c_2465,c_121]) ).
cnf(c_3068,plain,
( op1(e13,e12) != e10
| op1(e13,e10) = e13 ),
inference(paramod,[status(thm)],[c_2465,c_179]) ).
cnf(c_8353,plain,
( e13 != op1(e10,e13)
| op1(e11,e13) = e12 ),
inference(paramod,[status(thm)],[c_2467,c_142]) ).
cnf(c_3087,plain,
( op1(e10,e13) != e13
| op1(e11,e13) = e12 ),
inference(copy,[status(thm)],[c_8353]) ).
cnf(c_3100,plain,
( op1(e11,e10) != e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11 ),
inference(paramod,[status(thm)],[c_2468,c_115]) ).
cnf(c_3110,plain,
( op1(e11,e13) != e12
| op1(e10,e13) = e13 ),
inference(paramod,[status(thm)],[c_2469,c_142]) ).
cnf(c_3113,plain,
( op1(e10,e10) != e13
| op1(e10,e13) = e12 ),
inference(paramod,[status(thm)],[c_2469,c_154]) ).
cnf(c_3114,plain,
( op1(e10,e11) != e13
| op1(e10,e13) = e12 ),
inference(paramod,[status(thm)],[c_2469,c_157]) ).
cnf(c_3115,plain,
( op1(e10,e12) != e12
| op1(e10,e13) = e13 ),
inference(paramod,[status(thm)],[c_2469,c_159]) ).
cnf(c_8354,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| e12 = e11
| op1(e12,e10) = e12
| op1(e11,e10) = e12 ),
inference(paramod,[status(thm)],[c_2475,c_2468]) ).
cnf(c_3152,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e12,e10) = e12
| op1(e11,e10) = e12 ),
inference(resolve,[status(thm)],[c_263,c_8354]) ).
cnf(c_3194,plain,
( op1(e12,e10) != e12
| op1(e10,e13) = e12
| op1(e10,e12) = e12 ),
inference(paramod,[status(thm)],[c_2479,c_116]) ).
cnf(c_3205,plain,
( op1(e11,e11) != e10
| op1(e10,e11) = e13
| op1(e10,e11) = e11 ),
inference(paramod,[status(thm)],[c_2480,c_124]) ).
cnf(c_3208,plain,
( op1(e12,e11) != e11
| op1(e10,e11) = e13
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_2480,c_125]) ).
cnf(c_8355,plain,
( e10 != op1(e10,e10)
| op1(e10,e11) = e13
| op1(e10,e11) = e11 ),
inference(paramod,[status(thm)],[c_2480,c_151]) ).
cnf(c_3210,plain,
( op1(e10,e10) != e10
| op1(e10,e11) = e13
| op1(e10,e11) = e11 ),
inference(copy,[status(thm)],[c_8355]) ).
cnf(c_3213,plain,
( op1(e10,e12) != e10
| op1(e10,e11) = e13
| op1(e10,e11) = e11 ),
inference(paramod,[status(thm)],[c_2480,c_155]) ).
cnf(c_8356,plain,
( e23 != op2(e23,e20)
| op2(e23,e22) = e20 ),
inference(paramod,[status(thm)],[c_2511,c_251]) ).
cnf(c_3288,plain,
( op2(e23,e20) != e23
| op2(e23,e22) = e20 ),
inference(copy,[status(thm)],[c_8356]) ).
cnf(c_3312,plain,
( op2(e21,e20) != e23
| op2(e23,e20) = e20 ),
inference(paramod,[status(thm)],[c_2513,c_193]) ).
cnf(c_3314,plain,
( op2(e23,e22) != e20
| op2(e23,e20) = e23 ),
inference(paramod,[status(thm)],[c_2513,c_251]) ).
cnf(c_8357,plain,
( e23 != op2(e20,e23)
| op2(e21,e23) = e22 ),
inference(paramod,[status(thm)],[c_2515,c_214]) ).
cnf(c_3335,plain,
( op2(e20,e23) != e23
| op2(e21,e23) = e22 ),
inference(copy,[status(thm)],[c_8357]) ).
cnf(c_3348,plain,
( op2(e21,e20) != e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21 ),
inference(paramod,[status(thm)],[c_2516,c_187]) ).
cnf(c_3360,plain,
( op2(e21,e23) != e22
| op2(e20,e23) = e23 ),
inference(paramod,[status(thm)],[c_2517,c_214]) ).
cnf(c_3363,plain,
( op2(e20,e20) != e23
| op2(e20,e23) = e22 ),
inference(paramod,[status(thm)],[c_2517,c_226]) ).
cnf(c_3364,plain,
( op2(e20,e21) != e23
| op2(e20,e23) = e22 ),
inference(paramod,[status(thm)],[c_2517,c_229]) ).
cnf(c_3365,plain,
( op2(e20,e22) != e22
| op2(e20,e23) = e23 ),
inference(paramod,[status(thm)],[c_2517,c_231]) ).
cnf(c_8358,plain,
( op2(e20,e22) = e21
| op2(e20,e21) = e21
| e22 = e21
| op2(e22,e20) = e22
| op2(e21,e20) = e22 ),
inference(paramod,[status(thm)],[c_2523,c_2516]) ).
cnf(c_3406,plain,
( op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e22,e20) = e22
| op2(e21,e20) = e22 ),
inference(resolve,[status(thm)],[c_272,c_8358]) ).
cnf(c_3434,plain,
( op2(e22,e21) != e21
| op2(e21,e21) = e23
| op2(e21,e21) = e20 ),
inference(paramod,[status(thm)],[c_2526,c_200]) ).
cnf(c_3454,plain,
( op2(e22,e20) != e22
| op2(e20,e23) = e22
| op2(e20,e22) = e22 ),
inference(paramod,[status(thm)],[c_2527,c_188]) ).
cnf(c_3467,plain,
( op2(e21,e21) != e20
| op2(e20,e21) = e23
| op2(e20,e21) = e21 ),
inference(paramod,[status(thm)],[c_2528,c_196]) ).
cnf(c_3470,plain,
( op2(e22,e21) != e21
| op2(e20,e21) = e23
| op2(e20,e21) = e20 ),
inference(paramod,[status(thm)],[c_2528,c_197]) ).
cnf(c_8359,plain,
( e20 != op2(e20,e20)
| op2(e20,e21) = e23
| op2(e20,e21) = e21 ),
inference(paramod,[status(thm)],[c_2528,c_223]) ).
cnf(c_3472,plain,
( op2(e20,e20) != e20
| op2(e20,e21) = e23
| op2(e20,e21) = e21 ),
inference(copy,[status(thm)],[c_8359]) ).
cnf(c_3475,plain,
( op2(e20,e22) != e20
| op2(e20,e21) = e23
| op2(e20,e21) = e21 ),
inference(paramod,[status(thm)],[c_2528,c_227]) ).
cnf(c_8360,plain,
( e10 = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11
| op1(e13,e12) = e10
| op1(e10,e12) = e10 ),
inference(paramod,[status(thm)],[c_2529,c_2466]) ).
cnf(c_8361,plain,
( e11 = e10
| op1(e11,e11) = e11
| op1(e11,e10) = e11
| op1(e13,e12) = e10
| op1(e10,e12) = e10 ),
inference(copy,[status(thm)],[c_8360]) ).
cnf(c_3494,plain,
( op1(e11,e11) = e11
| op1(e11,e10) = e11
| op1(e13,e12) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[status(thm)],[c_259,c_8361]) ).
cnf(c_8362,plain,
( e20 = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21
| op2(e23,e22) = e20
| op2(e20,e22) = e20 ),
inference(paramod,[status(thm)],[c_2538,c_2514]) ).
cnf(c_8363,plain,
( e21 = e20
| op2(e21,e21) = e21
| op2(e21,e20) = e21
| op2(e23,e22) = e20
| op2(e20,e22) = e20 ),
inference(copy,[status(thm)],[c_8362]) ).
cnf(c_3613,plain,
( op2(e21,e21) = e21
| op2(e21,e20) = e21
| op2(e23,e22) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[status(thm)],[c_268,c_8363]) ).
cnf(c_3735,plain,
( op1(e10,e11) = e10
| defn_60
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_2547,c_2531]) ).
cnf(c_3747,plain,
( op1(e10,e12) = e12
| op1(e10,e13) = e13
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_2549,c_542]) ).
cnf(c_3774,plain,
( op2(e20,e21) = e20
| defn_150
| defn_130
| defn_120 ),
inference(resolve,[status(thm)],[c_2551,c_2540]) ).
cnf(c_3786,plain,
( op2(e20,e22) = e22
| op2(e20,e23) = e23
| defn_130
| defn_120 ),
inference(resolve,[status(thm)],[c_2553,c_816]) ).
cnf(c_3816,plain,
( op1(e11,e11) != e10
| op1(e10,e11) = e10
| defn_60
| defn_40 ),
inference(resolve,[status(thm)],[c_3735,c_558]) ).
cnf(c_3874,plain,
( op2(e21,e21) != e20
| op2(e20,e21) = e20
| defn_150
| defn_130 ),
inference(resolve,[status(thm)],[c_3774,c_832]) ).
cnf(c_4055,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e13,e10) = e10 ),
inference(resolve,[status(thm)],[c_3066,c_49]) ).
cnf(c_4075,plain,
( op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e13) = e12 ),
inference(resolve,[status(thm)],[c_3114,c_2296]) ).
cnf(c_4113,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e23,e20) = e20 ),
inference(resolve,[status(thm)],[c_3312,c_97]) ).
cnf(c_8364,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e13
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_3747,c_3115]) ).
cnf(c_4268,plain,
( op1(e10,e13) = e13
| defn_40
| defn_30 ),
inference(copy,[status(thm)],[c_8364]) ).
cnf(c_4275,plain,
( op1(e10,e11) = e11
| op1(e10,e13) = e13
| defn_40 ),
inference(resolve,[status(thm)],[c_4268,c_560]) ).
cnf(c_4277,plain,
( op1(e11,e11) != e10
| op1(e10,e13) = e13
| defn_40 ),
inference(resolve,[status(thm)],[c_4268,c_558]) ).
cnf(c_8365,plain,
( op1(e11,e11) = e10
| e11 = e10
| op1(e10,e13) = e13
| defn_40 ),
inference(paramod,[status(thm)],[c_4275,c_2531]) ).
cnf(c_4343,plain,
( op1(e11,e11) = e10
| op1(e10,e13) = e13
| defn_40 ),
inference(resolve,[status(thm)],[c_259,c_8365]) ).
cnf(c_8366,plain,
( op1(e10,e13) = e13
| defn_40
| op1(e10,e13) = e13
| defn_40 ),
inference(resolve,[status(thm)],[c_4343,c_4277]) ).
cnf(c_8367,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e13
| defn_40 ),
inference(copy,[status(thm)],[c_8366]) ).
cnf(c_4494,plain,
( op1(e10,e13) = e13
| defn_40 ),
inference(copy,[status(thm)],[c_8367]) ).
cnf(c_4503,plain,
( op1(e12,e12) != e12
| op1(e10,e13) = e13 ),
inference(resolve,[status(thm)],[c_4494,c_551]) ).
cnf(c_4504,plain,
( op1(e11,e13) = e12
| defn_40 ),
inference(resolve,[status(thm)],[c_4494,c_3087]) ).
cnf(c_4511,plain,
( op1(e11,e12) = e11
| op1(e11,e13) = e12 ),
inference(resolve,[status(thm)],[c_4504,c_555]) ).
cnf(c_4557,plain,
( op1(e12,e10) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[status(thm)],[c_4503,c_2460]) ).
cnf(c_8368,plain,
( op1(e12,e10) = e12
| op1(e11,e12) = e11
| op1(e10,op1(e10,e13)) = e10
| op1(e11,e12) = e11 ),
inference(paramod,[status(thm)],[c_4511,c_2260]) ).
cnf(c_4569,plain,
( op1(e12,e10) = e12
| op1(e10,op1(e10,e13)) = e10
| op1(e11,e12) = e11 ),
inference(copy,[status(thm)],[c_8368]) ).
cnf(c_8369,plain,
( op1(e11,e13) = e12
| e11 = e12
| op1(e11,e10) = e12
| op1(e11,e13) = e12 ),
inference(paramod,[status(thm)],[c_4511,c_2477]) ).
cnf(c_8370,plain,
( op1(e11,e13) = e12
| e12 = e11
| op1(e11,e10) = e12
| op1(e11,e13) = e12 ),
inference(copy,[status(thm)],[c_8369]) ).
cnf(c_8371,plain,
( e12 = e11
| op1(e11,e10) = e12
| op1(e11,e13) = e12 ),
inference(copy,[status(thm)],[c_8370]) ).
cnf(c_4571,plain,
( op1(e11,e10) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[status(thm)],[c_263,c_8371]) ).
cnf(c_8372,plain,
( e12 != op1(e11,e10)
| op1(e10,e13) = e13 ),
inference(paramod,[status(thm)],[c_4557,c_119]) ).
cnf(c_4609,plain,
( op1(e11,e10) != e12
| op1(e10,e13) = e13 ),
inference(copy,[status(thm)],[c_8372]) ).
cnf(c_4626,plain,
( op1(e10,e13) = e13
| op1(e11,e10) = e12 ),
inference(resolve,[status(thm)],[c_4571,c_3110]) ).
cnf(c_8373,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[status(thm)],[c_4626,c_4609]) ).
cnf(c_4658,plain,
op1(e10,e13) = e13,
inference(copy,[status(thm)],[c_8373]) ).
cnf(c_8374,plain,
( op1(e12,e10) = e12
| op1(e10,e13) = e10
| op1(e11,e12) = e11 ),
inference(paramod,[status(thm)],[c_4658,c_4569]) ).
cnf(c_8375,plain,
( op1(e12,e10) = e12
| e13 = e10
| op1(e11,e12) = e11 ),
inference(paramod,[status(thm)],[c_4658,c_8374]) ).
cnf(c_8376,plain,
( op1(e12,e10) = e12
| e10 = e13
| op1(e11,e12) = e11 ),
inference(copy,[status(thm)],[c_8375]) ).
cnf(c_4664,plain,
( op1(e12,e10) = e12
| op1(e11,e12) = e11 ),
inference(resolve,[status(thm)],[c_262,c_8376]) ).
cnf(c_8377,plain,
( op1(e12,e11) = e13
| op1(e11,e11) = e13
| e13 = e12 ),
inference(paramod,[status(thm)],[c_4658,c_4075]) ).
cnf(c_8378,plain,
( op1(e12,e11) = e13
| op1(e11,e11) = e13
| e12 = e13 ),
inference(copy,[status(thm)],[c_8377]) ).
cnf(c_4667,plain,
( op1(e12,e11) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[status(thm)],[c_267,c_8378]) ).
cnf(c_8379,plain,
( op1(e12,e10) != e12
| e13 = e12
| op1(e10,e12) = e12 ),
inference(paramod,[status(thm)],[c_4658,c_3194]) ).
cnf(c_8380,plain,
( op1(e12,e10) != e12
| e12 = e13
| op1(e10,e12) = e12 ),
inference(copy,[status(thm)],[c_8379]) ).
cnf(c_4687,plain,
( op1(e12,e10) != e12
| op1(e10,e12) = e12 ),
inference(resolve,[status(thm)],[c_267,c_8380]) ).
cnf(c_8381,plain,
( op1(e10,e11) != e13
| e13 = e12 ),
inference(paramod,[status(thm)],[c_4658,c_3114]) ).
cnf(c_8382,plain,
( op1(e10,e11) != e13
| e12 = e13 ),
inference(copy,[status(thm)],[c_8381]) ).
cnf(c_4689,plain,
op1(e10,e11) != e13,
inference(resolve,[status(thm)],[c_267,c_8382]) ).
cnf(c_8383,plain,
( op1(e10,e10) != e13
| e13 = e12 ),
inference(paramod,[status(thm)],[c_4658,c_3113]) ).
cnf(c_8384,plain,
( op1(e10,e10) != e13
| e12 = e13 ),
inference(copy,[status(thm)],[c_8383]) ).
cnf(c_4690,plain,
op1(e10,e10) != e13,
inference(resolve,[status(thm)],[c_267,c_8384]) ).
cnf(c_8385,plain,
( e13 != e13
| op1(e11,e13) = e12 ),
inference(paramod,[status(thm)],[c_4658,c_3087]) ).
cnf(c_4692,plain,
op1(e11,e13) = e12,
inference(copy,[status(thm)],[c_8385]) ).
cnf(c_8386,plain,
( op1(e11,e10) != e12
| e13 = e12 ),
inference(paramod,[status(thm)],[c_4658,c_2870]) ).
cnf(c_8387,plain,
( op1(e11,e10) != e12
| e12 = e13 ),
inference(copy,[status(thm)],[c_8386]) ).
cnf(c_4697,plain,
op1(e11,e10) != e12,
inference(resolve,[status(thm)],[c_267,c_8387]) ).
cnf(c_8388,plain,
( e13 = e12
| op1(e10,e12) = e12
| op1(e10,e10) = e12 ),
inference(paramod,[status(thm)],[c_4658,c_2479]) ).
cnf(c_8389,plain,
( e12 = e13
| op1(e10,e12) = e12
| op1(e10,e10) = e12 ),
inference(copy,[status(thm)],[c_8388]) ).
cnf(c_4702,plain,
( op1(e10,e12) = e12
| op1(e10,e10) = e12 ),
inference(resolve,[status(thm)],[c_267,c_8389]) ).
cnf(c_8390,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(e13) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_4658,c_2361]) ).
cnf(c_8391,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_874,c_8390]) ).
cnf(c_8392,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(e12) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_4692,c_8391]) ).
cnf(c_8393,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_880,c_8392]) ).
cnf(c_8394,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e23) != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(copy,[status(thm)],[c_8393]) ).
cnf(c_4703,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| op2(e21,e23) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e23) != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(copy,[status(thm)],[c_8394]) ).
cnf(c_4745,plain,
( op1(e10,e12) != e10
| op1(e10,e11) = e11 ),
inference(resolve,[status(thm)],[c_4689,c_3213]) ).
cnf(c_4747,plain,
( op1(e10,e10) != e10
| op1(e10,e11) = e11 ),
inference(resolve,[status(thm)],[c_4689,c_3210]) ).
cnf(c_4748,plain,
( op1(e12,e11) != e11
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_4689,c_3208]) ).
cnf(c_4750,plain,
( op1(e11,e11) != e10
| op1(e10,e11) = e11 ),
inference(resolve,[status(thm)],[c_4689,c_3205]) ).
cnf(c_4785,plain,
( op1(e10,e12) != e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(resolve,[status(thm)],[c_4690,c_2615]) ).
cnf(c_8395,plain,
( e12 = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e13,e10) = e10 ),
inference(paramod,[status(thm)],[c_4692,c_4055]) ).
cnf(c_4800,plain,
( op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e13,e10) = e10 ),
inference(resolve,[status(thm)],[c_267,c_8395]) ).
cnf(c_4866,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[status(thm)],[c_4697,c_3152]) ).
cnf(c_4881,plain,
( op1(e13,e10) != e13
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(resolve,[status(thm)],[c_4697,c_2577]) ).
cnf(c_4899,plain,
( op1(e11,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[status(thm)],[c_4687,c_4664]) ).
cnf(c_8396,plain,
( e11 != op1(e10,e12)
| op1(e10,e12) = e12 ),
inference(paramod,[status(thm)],[c_4899,c_133]) ).
cnf(c_4924,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = e12 ),
inference(copy,[status(thm)],[c_8396]) ).
cnf(c_8397,plain,
( op1(e12,e12) = e11
| op1(e11,e12) = e11
| e12 = e11
| op1(e11,e12) = e11 ),
inference(paramod,[status(thm)],[c_4899,c_2462]) ).
cnf(c_8398,plain,
( op1(e12,e12) = e11
| e12 = e11
| op1(e11,e12) = e11 ),
inference(copy,[status(thm)],[c_8397]) ).
cnf(c_4930,plain,
( op1(e12,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[status(thm)],[c_263,c_8398]) ).
cnf(c_4939,plain,
( op1(e10,e11) = e11
| op1(e10,e10) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[status(thm)],[c_4924,c_2468]) ).
cnf(c_8399,plain,
( e11 != op1(e11,e11)
| op1(e12,e12) = e11 ),
inference(paramod,[status(thm)],[c_4930,c_164]) ).
cnf(c_4947,plain,
( op1(e11,e11) != e11
| op1(e12,e12) = e11 ),
inference(copy,[status(thm)],[c_8399]) ).
cnf(c_4969,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e10
| op1(e12,e12) = e11 ),
inference(resolve,[status(thm)],[c_4947,c_2478]) ).
cnf(c_8400,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e23
| defn_130
| defn_120 ),
inference(resolve,[status(thm)],[c_3786,c_3365]) ).
cnf(c_5181,plain,
( op2(e20,e23) = e23
| defn_130
| defn_120 ),
inference(copy,[status(thm)],[c_8400]) ).
cnf(c_5188,plain,
( op2(e20,e21) = e21
| op2(e20,e23) = e23
| defn_130 ),
inference(resolve,[status(thm)],[c_5181,c_834]) ).
cnf(c_5190,plain,
( op2(e21,e21) != e20
| op2(e20,e23) = e23
| defn_130 ),
inference(resolve,[status(thm)],[c_5181,c_832]) ).
cnf(c_8401,plain,
( op2(e21,e21) = e20
| e21 = e20
| op2(e20,e23) = e23
| defn_130 ),
inference(paramod,[status(thm)],[c_5188,c_2540]) ).
cnf(c_5256,plain,
( op2(e21,e21) = e20
| op2(e20,e23) = e23
| defn_130 ),
inference(resolve,[status(thm)],[c_268,c_8401]) ).
cnf(c_8402,plain,
( op2(e20,e23) = e23
| defn_130
| op2(e20,e23) = e23
| defn_130 ),
inference(resolve,[status(thm)],[c_5256,c_5190]) ).
cnf(c_8403,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e23
| defn_130 ),
inference(copy,[status(thm)],[c_8402]) ).
cnf(c_5403,plain,
( op2(e20,e23) = e23
| defn_130 ),
inference(copy,[status(thm)],[c_8403]) ).
cnf(c_5412,plain,
( op2(e22,e22) != e22
| op2(e20,e23) = e23 ),
inference(resolve,[status(thm)],[c_5403,c_825]) ).
cnf(c_5413,plain,
( op2(e21,e23) = e22
| defn_130 ),
inference(resolve,[status(thm)],[c_5403,c_3335]) ).
cnf(c_5420,plain,
( op2(e21,e22) = e21
| op2(e21,e23) = e22 ),
inference(resolve,[status(thm)],[c_5413,c_829]) ).
cnf(c_5466,plain,
( op2(e22,e20) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[status(thm)],[c_5412,c_2508]) ).
cnf(c_8404,plain,
( op2(e22,e20) = e22
| op2(e21,e22) = e21
| op2(e20,op2(e20,e23)) = e20
| op2(e21,e22) = e21 ),
inference(paramod,[status(thm)],[c_5420,c_2322]) ).
cnf(c_5476,plain,
( op2(e22,e20) = e22
| op2(e20,op2(e20,e23)) = e20
| op2(e21,e22) = e21 ),
inference(copy,[status(thm)],[c_8404]) ).
cnf(c_8405,plain,
( op2(e21,e23) = e22
| e21 = e22
| op2(e21,e20) = e22
| op2(e21,e23) = e22 ),
inference(paramod,[status(thm)],[c_5420,c_2525]) ).
cnf(c_8406,plain,
( op2(e21,e23) = e22
| e22 = e21
| op2(e21,e20) = e22
| op2(e21,e23) = e22 ),
inference(copy,[status(thm)],[c_8405]) ).
cnf(c_8407,plain,
( e22 = e21
| op2(e21,e20) = e22
| op2(e21,e23) = e22 ),
inference(copy,[status(thm)],[c_8406]) ).
cnf(c_5478,plain,
( op2(e21,e20) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[status(thm)],[c_272,c_8407]) ).
cnf(c_8408,plain,
( e22 != op2(e21,e20)
| op2(e20,e23) = e23 ),
inference(paramod,[status(thm)],[c_5466,c_191]) ).
cnf(c_5518,plain,
( op2(e21,e20) != e22
| op2(e20,e23) = e23 ),
inference(copy,[status(thm)],[c_8408]) ).
cnf(c_5534,plain,
( op2(e20,e23) = e23
| op2(e21,e20) = e22 ),
inference(resolve,[status(thm)],[c_5478,c_3360]) ).
cnf(c_8409,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[status(thm)],[c_5534,c_5518]) ).
cnf(c_5567,plain,
op2(e20,e23) = e23,
inference(copy,[status(thm)],[c_8409]) ).
cnf(c_8410,plain,
( op2(e22,e20) = e22
| op2(e20,e23) = e20
| op2(e21,e22) = e21 ),
inference(paramod,[status(thm)],[c_5567,c_5476]) ).
cnf(c_8411,plain,
( op2(e22,e20) = e22
| e23 = e20
| op2(e21,e22) = e21 ),
inference(paramod,[status(thm)],[c_5567,c_8410]) ).
cnf(c_8412,plain,
( op2(e22,e20) = e22
| e20 = e23
| op2(e21,e22) = e21 ),
inference(copy,[status(thm)],[c_8411]) ).
cnf(c_5573,plain,
( op2(e22,e20) = e22
| op2(e21,e22) = e21 ),
inference(resolve,[status(thm)],[c_271,c_8412]) ).
cnf(c_8413,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| op2(e21,e23) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_5567,c_4703]) ).
cnf(c_5579,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| op2(e21,e23) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(copy,[status(thm)],[c_8413]) ).
cnf(c_8414,plain,
( op2(e22,e20) != e22
| e23 = e22
| op2(e20,e22) = e22 ),
inference(paramod,[status(thm)],[c_5567,c_3454]) ).
cnf(c_8415,plain,
( op2(e22,e20) != e22
| e22 = e23
| op2(e20,e22) = e22 ),
inference(copy,[status(thm)],[c_8414]) ).
cnf(c_5602,plain,
( op2(e22,e20) != e22
| op2(e20,e22) = e22 ),
inference(resolve,[status(thm)],[c_276,c_8415]) ).
cnf(c_8416,plain,
( op2(e20,e21) != e23
| e23 = e22 ),
inference(paramod,[status(thm)],[c_5567,c_3364]) ).
cnf(c_8417,plain,
( op2(e20,e21) != e23
| e22 = e23 ),
inference(copy,[status(thm)],[c_8416]) ).
cnf(c_5604,plain,
op2(e20,e21) != e23,
inference(resolve,[status(thm)],[c_276,c_8417]) ).
cnf(c_8418,plain,
( op2(e20,e20) != e23
| e23 = e22 ),
inference(paramod,[status(thm)],[c_5567,c_3363]) ).
cnf(c_8419,plain,
( op2(e20,e20) != e23
| e22 = e23 ),
inference(copy,[status(thm)],[c_8418]) ).
cnf(c_5605,plain,
op2(e20,e20) != e23,
inference(resolve,[status(thm)],[c_276,c_8419]) ).
cnf(c_8420,plain,
( e23 != e23
| op2(e21,e23) = e22 ),
inference(paramod,[status(thm)],[c_5567,c_3335]) ).
cnf(c_5607,plain,
op2(e21,e23) = e22,
inference(copy,[status(thm)],[c_8420]) ).
cnf(c_8421,plain,
( op2(e21,e20) != e22
| e23 = e22 ),
inference(paramod,[status(thm)],[c_5567,c_2938]) ).
cnf(c_8422,plain,
( op2(e21,e20) != e22
| e22 = e23 ),
inference(copy,[status(thm)],[c_8421]) ).
cnf(c_5612,plain,
op2(e21,e20) != e22,
inference(resolve,[status(thm)],[c_276,c_8422]) ).
cnf(c_8423,plain,
( e23 = e22
| op2(e20,e22) = e22
| op2(e20,e20) = e22 ),
inference(paramod,[status(thm)],[c_5567,c_2527]) ).
cnf(c_8424,plain,
( e22 = e23
| op2(e20,e22) = e22
| op2(e20,e20) = e22 ),
inference(copy,[status(thm)],[c_8423]) ).
cnf(c_5617,plain,
( op2(e20,e22) = e22
| op2(e20,e20) = e22 ),
inference(resolve,[status(thm)],[c_276,c_8424]) ).
cnf(c_5661,plain,
( op2(e20,e22) != e20
| op2(e20,e21) = e21 ),
inference(resolve,[status(thm)],[c_5604,c_3475]) ).
cnf(c_5663,plain,
( op2(e20,e20) != e20
| op2(e20,e21) = e21 ),
inference(resolve,[status(thm)],[c_5604,c_3472]) ).
cnf(c_5664,plain,
( op2(e22,e21) != e21
| op2(e20,e21) = e20 ),
inference(resolve,[status(thm)],[c_5604,c_3470]) ).
cnf(c_5666,plain,
( op2(e21,e21) != e20
| op2(e20,e21) = e21 ),
inference(resolve,[status(thm)],[c_5604,c_3467]) ).
cnf(c_8425,plain,
( op2(op2(e21,op2(e21,e21)),e21) = op2(e22,e21)
| op2(e22,e21) = e23
| op2(e20,e21) = e23 ),
inference(paramod,[status(thm)],[c_5607,c_2966]) ).
cnf(c_5672,plain,
( op2(op2(e21,op2(e21,e21)),e21) = op2(e22,e21)
| op2(e22,e21) = e23 ),
inference(resolve,[status(thm)],[c_5604,c_8425]) ).
cnf(c_5708,plain,
( op2(e20,e22) != e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(resolve,[status(thm)],[c_5605,c_2723]) ).
cnf(c_8426,plain,
( e22 = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e23,e20) = e20 ),
inference(paramod,[status(thm)],[c_5607,c_4113]) ).
cnf(c_5721,plain,
( op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e23,e20) = e20 ),
inference(resolve,[status(thm)],[c_276,c_8426]) ).
cnf(c_8427,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_5607,c_5579]) ).
cnf(c_5743,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(copy,[status(thm)],[c_8427]) ).
cnf(c_5793,plain,
( op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[status(thm)],[c_5612,c_3406]) ).
cnf(c_5810,plain,
( op2(e23,e20) != e23
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(resolve,[status(thm)],[c_5612,c_2685]) ).
cnf(c_5880,plain,
( op2(e21,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[status(thm)],[c_5602,c_5573]) ).
cnf(c_5920,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e11,e10) = e11
| op1(e10,op1(e10,e12)) = e10
| op1(e13,e10) = e13
| op1(e13,e12) = e10
| op1(e10,e12) = e10 ),
inference(paramod,[status(thm)],[c_2529,c_2865]) ).
cnf(c_8428,plain,
( e21 != op2(e20,e22)
| op2(e20,e22) = e22 ),
inference(paramod,[status(thm)],[c_5880,c_205]) ).
cnf(c_5944,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = e22 ),
inference(copy,[status(thm)],[c_8428]) ).
cnf(c_8429,plain,
( op2(e22,e22) = e21
| op2(e21,e22) = e21
| e22 = e21
| op2(e21,e22) = e21 ),
inference(paramod,[status(thm)],[c_5880,c_2510]) ).
cnf(c_8430,plain,
( op2(e22,e22) = e21
| e22 = e21
| op2(e21,e22) = e21 ),
inference(copy,[status(thm)],[c_8429]) ).
cnf(c_5950,plain,
( op2(e22,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[status(thm)],[c_272,c_8430]) ).
cnf(c_5967,plain,
( op2(e20,e21) = e21
| op2(e20,e20) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[status(thm)],[c_5944,c_2516]) ).
cnf(c_8431,plain,
( e21 != op2(e21,e21)
| op2(e22,e22) = e21 ),
inference(paramod,[status(thm)],[c_5950,c_236]) ).
cnf(c_6011,plain,
( op2(e21,e21) != e21
| op2(e22,e22) = e21 ),
inference(copy,[status(thm)],[c_8431]) ).
cnf(c_6058,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e20
| op2(e22,e22) = e21 ),
inference(resolve,[status(thm)],[c_6011,c_2526]) ).
cnf(c_8432,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e10
| defn_60
| defn_40 ),
inference(resolve,[status(thm)],[c_3816,c_2531]) ).
cnf(c_6195,plain,
( op1(e10,e11) = e10
| defn_60
| defn_40 ),
inference(copy,[status(thm)],[c_8432]) ).
cnf(c_6197,plain,
( op1(e12,e11) = e11
| op1(e10,e11) = e10
| defn_60 ),
inference(resolve,[status(thm)],[c_6195,c_554]) ).
cnf(c_8433,plain,
( op1(e13,e12) = e13
| op1(e11,e13) = e11
| op1(e10,op1(e10,e11)) = e10
| op1(e11,e11) = e11
| op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(paramod,[status(thm)],[c_2478,c_2909]) ).
cnf(c_8434,plain,
( op1(e13,e12) = e13
| e12 = e11
| op1(e10,op1(e10,e11)) = e10
| op1(e11,e11) = e11
| op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(paramod,[status(thm)],[c_4692,c_8433]) ).
cnf(c_8435,plain,
( op1(e13,e12) = e13
| e12 = e11
| op1(e10,op1(e10,e11)) = e10
| op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(copy,[status(thm)],[c_8434]) ).
cnf(c_6274,plain,
( op1(e13,e12) = e13
| op1(e10,op1(e10,e11)) = e10
| op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(resolve,[status(thm)],[c_263,c_8435]) ).
cnf(c_8436,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e10
| defn_60 ),
inference(resolve,[status(thm)],[c_6197,c_4748]) ).
cnf(c_6287,plain,
( op1(e10,e11) = e10
| defn_60 ),
inference(copy,[status(thm)],[c_8436]) ).
cnf(c_6299,plain,
( op1(e11,e11) != e10
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_6287,c_540]) ).
cnf(c_8437,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_6299,c_2531]) ).
cnf(c_6356,plain,
op1(e10,e11) = e10,
inference(copy,[status(thm)],[c_8437]) ).
cnf(c_8438,plain,
( op1(e13,e12) = e13
| op1(e10,op1(e10,e11)) = e10
| e10 = e11
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(paramod,[status(thm)],[c_6356,c_6274]) ).
cnf(c_8439,plain,
( op1(e13,e12) = e13
| op1(e10,e10) = e10
| e10 = e11
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(paramod,[status(thm)],[c_6356,c_8438]) ).
cnf(c_8440,plain,
( op1(e13,e12) = e13
| op1(e10,e10) = e10
| e11 = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(copy,[status(thm)],[c_8439]) ).
cnf(c_6363,plain,
( op1(e13,e12) = e13
| op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(resolve,[status(thm)],[c_259,c_8440]) ).
cnf(c_8441,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(e10) != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_6356,c_5743]) ).
cnf(c_8442,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| e20 != op2(e20,e21)
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_2481,c_8441]) ).
cnf(c_6439,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| op2(e20,e21) != e20
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(copy,[status(thm)],[c_8442]) ).
cnf(c_8443,plain,
( e10 = e11
| op1(e10,e10) = e11
| op1(e10,e12) = e12 ),
inference(paramod,[status(thm)],[c_6356,c_4939]) ).
cnf(c_8444,plain,
( e11 = e10
| op1(e10,e10) = e11
| op1(e10,e12) = e12 ),
inference(copy,[status(thm)],[c_8443]) ).
cnf(c_6447,plain,
( op1(e10,e10) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[status(thm)],[c_259,c_8444]) ).
cnf(c_8445,plain,
( op1(e10,e12) = e11
| e10 = e11
| op1(e12,e10) = e12 ),
inference(paramod,[status(thm)],[c_6356,c_4866]) ).
cnf(c_8446,plain,
( op1(e10,e12) = e11
| e11 = e10
| op1(e12,e10) = e12 ),
inference(copy,[status(thm)],[c_8445]) ).
cnf(c_6454,plain,
( op1(e10,e12) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[status(thm)],[c_259,c_8446]) ).
cnf(c_8447,plain,
( op1(e11,e11) != e10
| e10 = e11 ),
inference(paramod,[status(thm)],[c_6356,c_4750]) ).
cnf(c_8448,plain,
( op1(e11,e11) != e10
| e11 = e10 ),
inference(copy,[status(thm)],[c_8447]) ).
cnf(c_6465,plain,
op1(e11,e11) != e10,
inference(resolve,[status(thm)],[c_259,c_8448]) ).
cnf(c_8449,plain,
( op1(e10,e10) != e10
| e10 = e11 ),
inference(paramod,[status(thm)],[c_6356,c_4747]) ).
cnf(c_8450,plain,
( op1(e10,e10) != e10
| e11 = e10 ),
inference(copy,[status(thm)],[c_8449]) ).
cnf(c_6466,plain,
op1(e10,e10) != e10,
inference(resolve,[status(thm)],[c_259,c_8450]) ).
cnf(c_8451,plain,
( op1(e10,e12) != e10
| e10 = e11 ),
inference(paramod,[status(thm)],[c_6356,c_4745]) ).
cnf(c_8452,plain,
( op1(e10,e12) != e10
| e11 = e10 ),
inference(copy,[status(thm)],[c_8451]) ).
cnf(c_6467,plain,
op1(e10,e12) != e10,
inference(resolve,[status(thm)],[c_259,c_8452]) ).
cnf(c_8453,plain,
( op1(e11,e10) != e11
| op1(e10,e12) = e11
| e10 = e11 ),
inference(paramod,[status(thm)],[c_6356,c_3100]) ).
cnf(c_8454,plain,
( op1(e11,e10) != e11
| op1(e10,e12) = e11
| e11 = e10 ),
inference(copy,[status(thm)],[c_8453]) ).
cnf(c_6477,plain,
( op1(e11,e10) != e11
| op1(e10,e12) = e11 ),
inference(resolve,[status(thm)],[c_259,c_8454]) ).
cnf(c_8455,plain,
( op1(e13,e12) = e13
| op1(e10,e10) = e10
| op1(e11,e11) = e11 ),
inference(resolve,[status(thm)],[c_6465,c_6363]) ).
cnf(c_6497,plain,
( op1(e13,e12) = e13
| op1(e11,e11) = e11 ),
inference(resolve,[status(thm)],[c_6466,c_8455]) ).
cnf(c_6502,plain,
( op1(e11,e11) = e13
| op1(e12,e12) = e11 ),
inference(resolve,[status(thm)],[c_6465,c_4969]) ).
cnf(c_6585,plain,
( op1(e10,e12) != e12
| op1(e10,e10) = e11 ),
inference(resolve,[status(thm)],[c_6466,c_4785]) ).
cnf(c_6596,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e11,e10) = e11
| op1(e10,op1(e10,e12)) = e10
| op1(e13,e10) = e13
| op1(e13,e12) = e10 ),
inference(resolve,[status(thm)],[c_6467,c_5920]) ).
cnf(c_6619,plain,
( op1(e11,e11) = e11
| op1(e11,e10) = e11
| op1(e13,e12) = e10 ),
inference(resolve,[status(thm)],[c_6467,c_3494]) ).
cnf(c_6663,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e21,e20) = e21
| op2(e20,op2(e20,e22)) = e20
| op2(e23,e20) = e23
| op2(e23,e22) = e20
| op2(e20,e22) = e20 ),
inference(paramod,[status(thm)],[c_2538,c_2933]) ).
cnf(c_8456,plain,
( op1(e10,e12) = e12
| e11 = e12
| op1(e10,e12) = e12 ),
inference(paramod,[status(thm)],[c_6447,c_4702]) ).
cnf(c_8457,plain,
( op1(e10,e12) = e12
| e12 = e11
| op1(e10,e12) = e12 ),
inference(copy,[status(thm)],[c_8456]) ).
cnf(c_8458,plain,
( e12 = e11
| op1(e10,e12) = e12 ),
inference(copy,[status(thm)],[c_8457]) ).
cnf(c_6719,plain,
op1(e10,e12) = e12,
inference(resolve,[status(thm)],[c_263,c_8458]) ).
cnf(c_8459,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e11,e10) = e11
| op1(e10,e12) = e10
| op1(e13,e10) = e13
| op1(e13,e12) = e10 ),
inference(paramod,[status(thm)],[c_6719,c_6596]) ).
cnf(c_8460,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e11,e10) = e11
| e12 = e10
| op1(e13,e10) = e13
| op1(e13,e12) = e10 ),
inference(paramod,[status(thm)],[c_6719,c_8459]) ).
cnf(c_6734,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e11,e10) = e11
| op1(e13,e10) = e13
| op1(e13,e12) = e10 ),
inference(resolve,[status(thm)],[c_260,c_8460]) ).
cnf(c_8461,plain,
( e12 != e12
| op1(e10,e10) = e11 ),
inference(paramod,[status(thm)],[c_6719,c_6585]) ).
cnf(c_6735,plain,
op1(e10,e10) = e11,
inference(copy,[status(thm)],[c_8461]) ).
cnf(c_8462,plain,
( op1(e11,e10) != e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_6719,c_6477]) ).
cnf(c_6758,plain,
op1(e11,e10) != e11,
inference(resolve,[status(thm)],[c_263,c_8462]) ).
cnf(c_8463,plain,
( e12 = e11
| op1(e12,e10) = e12 ),
inference(paramod,[status(thm)],[c_6719,c_6454]) ).
cnf(c_6761,plain,
op1(e12,e10) = e12,
inference(resolve,[status(thm)],[c_263,c_8463]) ).
cnf(c_8464,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| op2(e20,e21) != e20
| h4(e11) != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_6735,c_6439]) ).
cnf(c_8465,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| op2(e20,e21) != e20
| e21 != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_878,c_8464]) ).
cnf(c_8466,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(e12) != op2(e20,e22)
| op2(e20,e21) != e20
| e21 != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_6719,c_8465]) ).
cnf(c_8467,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| e22 != op2(e20,e22)
| op2(e20,e21) != e20
| e21 != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_880,c_8466]) ).
cnf(c_8468,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(e12) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| e22 != op2(e20,e22)
| op2(e20,e21) != e20
| e21 != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_6761,c_8467]) ).
cnf(c_8469,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| e22 != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| e22 != op2(e20,e22)
| op2(e20,e21) != e20
| e21 != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_880,c_8468]) ).
cnf(c_8470,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| e22 != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| e22 != op2(e20,e22)
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(copy,[status(thm)],[c_8469]) ).
cnf(c_8471,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| e22 != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(copy,[status(thm)],[c_8470]) ).
cnf(c_6762,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(copy,[status(thm)],[c_8471]) ).
cnf(c_6804,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e13,e10) = e13
| op1(e13,e12) = e10 ),
inference(resolve,[status(thm)],[c_6758,c_6734]) ).
cnf(c_6806,plain,
( op1(e11,e11) = e11
| op1(e13,e12) = e10 ),
inference(resolve,[status(thm)],[c_6758,c_6619]) ).
cnf(c_6809,plain,
( op1(e13,e10) != e13
| op1(e11,e10) = e10 ),
inference(resolve,[status(thm)],[c_6758,c_4881]) ).
cnf(c_8472,plain,
( e10 = e13
| op1(e11,e11) = e11
| op1(e11,e11) = e11 ),
inference(paramod,[status(thm)],[c_6806,c_6497]) ).
cnf(c_8473,plain,
( e10 = e13
| op1(e11,e11) = e11 ),
inference(copy,[status(thm)],[c_8472]) ).
cnf(c_6977,plain,
op1(e11,e11) = e11,
inference(resolve,[status(thm)],[c_262,c_8473]) ).
cnf(c_8474,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(e11) != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_6977,c_6762]) ).
cnf(c_8475,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| e21 != op2(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_878,c_8474]) ).
cnf(c_6988,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(copy,[status(thm)],[c_8475]) ).
cnf(c_8476,plain,
( e11 = e13
| op1(e12,e12) = e11 ),
inference(paramod,[status(thm)],[c_6977,c_6502]) ).
cnf(c_6994,plain,
op1(e12,e12) = e11,
inference(resolve,[status(thm)],[c_265,c_8476]) ).
cnf(c_8477,plain,
( op1(e11,e12) = e13
| e11 = e13
| op1(e13,e10) = e10 ),
inference(paramod,[status(thm)],[c_6977,c_4800]) ).
cnf(c_6997,plain,
( op1(e11,e12) = e13
| op1(e13,e10) = e10 ),
inference(resolve,[status(thm)],[c_265,c_8477]) ).
cnf(c_8478,plain,
( op1(e12,e11) = e13
| e11 = e13 ),
inference(paramod,[status(thm)],[c_6977,c_4667]) ).
cnf(c_6999,plain,
op1(e12,e11) = e13,
inference(resolve,[status(thm)],[c_265,c_8478]) ).
cnf(c_8479,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| h4(e13) != op2(e22,e21)
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_6999,c_6988]) ).
cnf(c_8480,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e12)) != op2(e22,e22)
| e23 != op2(e22,e21)
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_874,c_8479]) ).
cnf(c_8481,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(e11) != op2(e22,e22)
| e23 != op2(e22,e21)
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_6994,c_8480]) ).
cnf(c_8482,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| e21 != op2(e22,e22)
| e23 != op2(e22,e21)
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_878,c_8481]) ).
cnf(c_8483,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| e21 != op2(e22,e22)
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(copy,[status(thm)],[c_8482]) ).
cnf(c_7011,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e10)) != op2(e23,e20)
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(copy,[status(thm)],[c_8483]) ).
cnf(c_8484,plain,
( op1(e12,e11) = e12
| op1(e13,e10) = e13
| op1(e13,e12) = e10 ),
inference(paramod,[status(thm)],[c_6994,c_6804]) ).
cnf(c_8485,plain,
( e13 = e12
| op1(e13,e10) = e13
| op1(e13,e12) = e10 ),
inference(paramod,[status(thm)],[c_6999,c_8484]) ).
cnf(c_8486,plain,
( e12 = e13
| op1(e13,e10) = e13
| op1(e13,e12) = e10 ),
inference(copy,[status(thm)],[c_8485]) ).
cnf(c_7017,plain,
( op1(e13,e10) = e13
| op1(e13,e12) = e10 ),
inference(resolve,[status(thm)],[c_267,c_8486]) ).
cnf(c_8487,plain,
( op2(e23,e22) = e23
| op2(e21,e23) = e21
| op2(e20,op2(e20,e21)) = e20
| op2(e21,e21) = e21
| op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(paramod,[status(thm)],[c_2526,c_2982]) ).
cnf(c_8488,plain,
( op2(e23,e22) = e23
| e22 = e21
| op2(e20,op2(e20,e21)) = e20
| op2(e21,e21) = e21
| op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(paramod,[status(thm)],[c_5607,c_8487]) ).
cnf(c_8489,plain,
( op2(e23,e22) = e23
| e22 = e21
| op2(e20,op2(e20,e21)) = e20
| op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(copy,[status(thm)],[c_8488]) ).
cnf(c_7089,plain,
( op2(e23,e22) = e23
| op2(e20,op2(e20,e21)) = e20
| op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(resolve,[status(thm)],[c_272,c_8489]) ).
cnf(c_8490,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e13 ),
inference(resolve,[status(thm)],[c_7017,c_3068]) ).
cnf(c_7109,plain,
op1(e13,e10) = e13,
inference(copy,[status(thm)],[c_8490]) ).
cnf(c_8491,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e10 ),
inference(resolve,[status(thm)],[c_7017,c_3044]) ).
cnf(c_7112,plain,
op1(e13,e12) = e10,
inference(copy,[status(thm)],[c_8491]) ).
cnf(c_8492,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(e13) != op2(e23,e20)
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_7109,c_7011]) ).
cnf(c_8493,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| e23 != op2(e23,e20)
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_874,c_8492]) ).
cnf(c_8494,negated_conjecture,
( h4(e10) != op2(e23,e22)
| e23 != op2(e23,e20)
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_7112,c_8493]) ).
cnf(c_8495,negated_conjecture,
( e20 != op2(e23,e22)
| e23 != op2(e23,e20)
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_2481,c_8494]) ).
cnf(c_8496,negated_conjecture,
( e20 != op2(e23,e22)
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(copy,[status(thm)],[c_8495]) ).
cnf(c_7120,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(copy,[status(thm)],[c_8496]) ).
cnf(c_8497,plain,
( op1(e11,e12) = e13
| e13 = e10 ),
inference(paramod,[status(thm)],[c_7109,c_6997]) ).
cnf(c_8498,plain,
( op1(e11,e12) = e13
| e10 = e13 ),
inference(copy,[status(thm)],[c_8497]) ).
cnf(c_7121,plain,
op1(e11,e12) = e13,
inference(resolve,[status(thm)],[c_262,c_8498]) ).
cnf(c_8499,plain,
( e13 != e13
| op1(e11,e10) = e10 ),
inference(paramod,[status(thm)],[c_7109,c_6809]) ).
cnf(c_7122,plain,
op1(e11,e10) = e10,
inference(copy,[status(thm)],[c_8499]) ).
cnf(c_8500,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| h4(e10) != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_7122,c_7120]) ).
cnf(c_8501,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e21) != e21
| e20 != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_2481,c_8500]) ).
cnf(c_8502,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| h4(e13) != op2(e21,e22)
| op2(e21,e21) != e21
| e20 != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_7121,c_8501]) ).
cnf(c_8503,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| e23 != op2(e21,e22)
| op2(e21,e21) != e21
| e20 != op2(e21,e20)
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_874,c_8502]) ).
cnf(c_8504,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| e23 != op2(e21,e22)
| op2(e21,e21) != e21
| op2(e21,e20) != e20
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(copy,[status(thm)],[c_8503]) ).
cnf(c_7123,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| op2(e21,e22) != e23
| op2(e21,e21) != e21
| op2(e21,e20) != e20
| op2(e20,e22) != e22
| op2(e20,e21) != e20
| op2(e20,e20) != e21 ),
inference(copy,[status(thm)],[c_8504]) ).
cnf(c_8505,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e20
| defn_150
| defn_130 ),
inference(resolve,[status(thm)],[c_3874,c_2540]) ).
cnf(c_7158,plain,
( op2(e20,e21) = e20
| defn_150
| defn_130 ),
inference(copy,[status(thm)],[c_8505]) ).
cnf(c_7160,plain,
( op2(e22,e21) = e21
| op2(e20,e21) = e20
| defn_150 ),
inference(resolve,[status(thm)],[c_7158,c_828]) ).
cnf(c_8506,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e20
| defn_150 ),
inference(resolve,[status(thm)],[c_7160,c_5664]) ).
cnf(c_7285,plain,
( op2(e20,e21) = e20
| defn_150 ),
inference(copy,[status(thm)],[c_8506]) ).
cnf(c_7300,plain,
( op2(e21,e21) != e20
| op2(e20,e21) = e20 ),
inference(resolve,[status(thm)],[c_7285,c_814]) ).
cnf(c_8507,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e20 ),
inference(resolve,[status(thm)],[c_7300,c_2540]) ).
cnf(c_7369,plain,
op2(e20,e21) = e20,
inference(copy,[status(thm)],[c_8507]) ).
cnf(c_8508,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| op2(e21,e22) != e23
| op2(e21,e21) != e21
| op2(e21,e20) != e20
| op2(e20,e22) != e22
| e20 != e20
| op2(e20,e20) != e21 ),
inference(paramod,[status(thm)],[c_7369,c_7123]) ).
cnf(c_7401,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| op2(e21,e22) != e23
| op2(e21,e21) != e21
| op2(e21,e20) != e20
| op2(e20,e22) != e22
| op2(e20,e20) != e21 ),
inference(copy,[status(thm)],[c_8508]) ).
cnf(c_8509,plain,
( op2(e23,e22) = e23
| op2(e20,op2(e20,e21)) = e20
| e20 = e21
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(paramod,[status(thm)],[c_7369,c_7089]) ).
cnf(c_8510,plain,
( op2(e23,e22) = e23
| op2(e20,e20) = e20
| e20 = e21
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(paramod,[status(thm)],[c_7369,c_8509]) ).
cnf(c_8511,plain,
( op2(e23,e22) = e23
| op2(e20,e20) = e20
| e21 = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(copy,[status(thm)],[c_8510]) ).
cnf(c_7406,plain,
( op2(e23,e22) = e23
| op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(resolve,[status(thm)],[c_268,c_8511]) ).
cnf(c_8512,plain,
( e20 = e21
| op2(e20,e20) = e21
| op2(e20,e22) = e22 ),
inference(paramod,[status(thm)],[c_7369,c_5967]) ).
cnf(c_8513,plain,
( e21 = e20
| op2(e20,e20) = e21
| op2(e20,e22) = e22 ),
inference(copy,[status(thm)],[c_8512]) ).
cnf(c_7513,plain,
( op2(e20,e20) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[status(thm)],[c_268,c_8513]) ).
cnf(c_8514,plain,
( op2(e20,e22) = e21
| e20 = e21
| op2(e22,e20) = e22 ),
inference(paramod,[status(thm)],[c_7369,c_5793]) ).
cnf(c_8515,plain,
( op2(e20,e22) = e21
| e21 = e20
| op2(e22,e20) = e22 ),
inference(copy,[status(thm)],[c_8514]) ).
cnf(c_7522,plain,
( op2(e20,e22) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[status(thm)],[c_268,c_8515]) ).
cnf(c_8516,plain,
( op2(e21,e21) != e20
| e20 = e21 ),
inference(paramod,[status(thm)],[c_7369,c_5666]) ).
cnf(c_8517,plain,
( op2(e21,e21) != e20
| e21 = e20 ),
inference(copy,[status(thm)],[c_8516]) ).
cnf(c_7533,plain,
op2(e21,e21) != e20,
inference(resolve,[status(thm)],[c_268,c_8517]) ).
cnf(c_8518,plain,
( op2(e20,e20) != e20
| e20 = e21 ),
inference(paramod,[status(thm)],[c_7369,c_5663]) ).
cnf(c_8519,plain,
( op2(e20,e20) != e20
| e21 = e20 ),
inference(copy,[status(thm)],[c_8518]) ).
cnf(c_7534,plain,
op2(e20,e20) != e20,
inference(resolve,[status(thm)],[c_268,c_8519]) ).
cnf(c_8520,plain,
( op2(e20,e22) != e20
| e20 = e21 ),
inference(paramod,[status(thm)],[c_7369,c_5661]) ).
cnf(c_8521,plain,
( op2(e20,e22) != e20
| e21 = e20 ),
inference(copy,[status(thm)],[c_8520]) ).
cnf(c_7535,plain,
op2(e20,e22) != e20,
inference(resolve,[status(thm)],[c_268,c_8521]) ).
cnf(c_8522,plain,
( op2(e21,e20) != e21
| op2(e20,e22) = e21
| e20 = e21 ),
inference(paramod,[status(thm)],[c_7369,c_3348]) ).
cnf(c_8523,plain,
( op2(e21,e20) != e21
| op2(e20,e22) = e21
| e21 = e20 ),
inference(copy,[status(thm)],[c_8522]) ).
cnf(c_7546,plain,
( op2(e21,e20) != e21
| op2(e20,e22) = e21 ),
inference(resolve,[status(thm)],[c_268,c_8523]) ).
cnf(c_8524,plain,
( op2(e23,e22) = e23
| op2(e20,e20) = e20
| op2(e21,e21) = e21 ),
inference(resolve,[status(thm)],[c_7533,c_7406]) ).
cnf(c_7573,plain,
( op2(e23,e22) = e23
| op2(e21,e21) = e21 ),
inference(resolve,[status(thm)],[c_7534,c_8524]) ).
cnf(c_7579,plain,
( op2(e21,e21) = e23
| op2(e22,e22) = e21 ),
inference(resolve,[status(thm)],[c_7533,c_6058]) ).
cnf(c_7605,plain,
( op2(e22,e21) != e21
| op2(e21,e21) = e23 ),
inference(resolve,[status(thm)],[c_7533,c_3434]) ).
cnf(c_7706,plain,
( op2(e20,e22) != e22
| op2(e20,e20) = e21 ),
inference(resolve,[status(thm)],[c_7534,c_5708]) ).
cnf(c_7723,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e21,e20) = e21
| op2(e20,op2(e20,e22)) = e20
| op2(e23,e20) = e23
| op2(e23,e22) = e20 ),
inference(resolve,[status(thm)],[c_7535,c_6663]) ).
cnf(c_7751,plain,
( op2(e21,e21) = e21
| op2(e21,e20) = e21
| op2(e23,e22) = e20 ),
inference(resolve,[status(thm)],[c_7535,c_3613]) ).
cnf(c_8525,plain,
( op2(e20,e22) = e22
| e21 = e22
| op2(e20,e22) = e22 ),
inference(paramod,[status(thm)],[c_7513,c_5617]) ).
cnf(c_8526,plain,
( op2(e20,e22) = e22
| e22 = e21
| op2(e20,e22) = e22 ),
inference(copy,[status(thm)],[c_8525]) ).
cnf(c_8527,plain,
( e22 = e21
| op2(e20,e22) = e22 ),
inference(copy,[status(thm)],[c_8526]) ).
cnf(c_7882,plain,
op2(e20,e22) = e22,
inference(resolve,[status(thm)],[c_272,c_8527]) ).
cnf(c_8528,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e21,e20) = e21
| op2(e20,e22) = e20
| op2(e23,e20) = e23
| op2(e23,e22) = e20 ),
inference(paramod,[status(thm)],[c_7882,c_7723]) ).
cnf(c_8529,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e21,e20) = e21
| e22 = e20
| op2(e23,e20) = e23
| op2(e23,e22) = e20 ),
inference(paramod,[status(thm)],[c_7882,c_8528]) ).
cnf(c_7904,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e21,e20) = e21
| op2(e23,e20) = e23
| op2(e23,e22) = e20 ),
inference(resolve,[status(thm)],[c_269,c_8529]) ).
cnf(c_8530,plain,
( e22 != e22
| op2(e20,e20) = e21 ),
inference(paramod,[status(thm)],[c_7882,c_7706]) ).
cnf(c_7907,plain,
op2(e20,e20) = e21,
inference(copy,[status(thm)],[c_8530]) ).
cnf(c_8531,plain,
( op2(e21,e20) != e21
| e22 = e21 ),
inference(paramod,[status(thm)],[c_7882,c_7546]) ).
cnf(c_7943,plain,
op2(e21,e20) != e21,
inference(resolve,[status(thm)],[c_272,c_8531]) ).
cnf(c_8532,plain,
( e22 = e21
| op2(e22,e20) = e22 ),
inference(paramod,[status(thm)],[c_7882,c_7522]) ).
cnf(c_7946,plain,
op2(e22,e20) = e22,
inference(resolve,[status(thm)],[c_272,c_8532]) ).
cnf(c_8533,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| op2(e21,e22) != e23
| op2(e21,e21) != e21
| op2(e21,e20) != e20
| op2(e20,e22) != e22
| e21 != e21 ),
inference(paramod,[status(thm)],[c_7907,c_7401]) ).
cnf(c_8534,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e22,e20) != e22
| op2(e21,e22) != e23
| op2(e21,e21) != e21
| op2(e21,e20) != e20
| e22 != e22
| e21 != e21 ),
inference(paramod,[status(thm)],[c_7882,c_8533]) ).
cnf(c_8535,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| e22 != e22
| op2(e21,e22) != e23
| op2(e21,e21) != e21
| op2(e21,e20) != e20
| e22 != e22
| e21 != e21 ),
inference(paramod,[status(thm)],[c_7946,c_8534]) ).
cnf(c_8536,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| e22 != e22
| op2(e21,e22) != e23
| op2(e21,e21) != e21
| op2(e21,e20) != e20
| e22 != e22 ),
inference(copy,[status(thm)],[c_8535]) ).
cnf(c_8537,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| e22 != e22
| op2(e21,e22) != e23
| op2(e21,e21) != e21
| op2(e21,e20) != e20 ),
inference(copy,[status(thm)],[c_8536]) ).
cnf(c_7947,negated_conjecture,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e22) != e21
| op2(e22,e21) != e23
| op2(e21,e22) != e23
| op2(e21,e21) != e21
| op2(e21,e20) != e20 ),
inference(copy,[status(thm)],[c_8537]) ).
cnf(c_8008,plain,
( op2(e22,op2(e22,e22)) = e22
| op2(e23,e20) = e23
| op2(e23,e22) = e20 ),
inference(resolve,[status(thm)],[c_7943,c_7904]) ).
cnf(c_8011,plain,
( op2(e21,e21) = e21
| op2(e23,e22) = e20 ),
inference(resolve,[status(thm)],[c_7943,c_7751]) ).
cnf(c_8016,plain,
( op2(e23,e20) != e23
| op2(e21,e20) = e20 ),
inference(resolve,[status(thm)],[c_7943,c_5810]) ).
cnf(c_8082,plain,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e21) != e23
| op2(e21,e22) != e23
| op2(e21,e21) != e21
| op2(e21,e20) != e20
| op2(e21,e21) = e23 ),
inference(resolve,[status(thm)],[c_7579,c_7947]) ).
cnf(c_8538,plain,
( h2(e12) = op2(e21,e23)
| op2(e22,e22) = e21 ),
inference(paramod,[status(thm)],[c_7579,c_869]) ).
cnf(c_8539,plain,
( op2(e21,op2(e21,e21)) = op2(e21,e23)
| op2(e22,e22) = e21 ),
inference(paramod,[status(thm)],[c_869,c_8538]) ).
cnf(c_8085,plain,
( op2(e21,op2(e21,e21)) = e22
| op2(e22,e22) = e21 ),
inference(paramod,[status(thm)],[c_5607,c_8539]) ).
cnf(c_8540,plain,
( e20 = e23
| op2(e21,e21) = e21
| op2(e21,e21) = e21 ),
inference(paramod,[status(thm)],[c_8011,c_7573]) ).
cnf(c_8541,plain,
( e20 = e23
| op2(e21,e21) = e21 ),
inference(copy,[status(thm)],[c_8540]) ).
cnf(c_8129,plain,
op2(e21,e21) = e21,
inference(resolve,[status(thm)],[c_271,c_8541]) ).
cnf(c_8542,plain,
( op2(e21,e21) = e22
| op2(e22,e22) = e21 ),
inference(paramod,[status(thm)],[c_8129,c_8085]) ).
cnf(c_8543,plain,
( e21 = e22
| op2(e22,e22) = e21 ),
inference(paramod,[status(thm)],[c_8129,c_8542]) ).
cnf(c_8544,plain,
( e22 = e21
| op2(e22,e22) = e21 ),
inference(copy,[status(thm)],[c_8543]) ).
cnf(c_8133,plain,
op2(e22,e22) = e21,
inference(resolve,[status(thm)],[c_272,c_8544]) ).
cnf(c_8545,plain,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e21) != e23
| op2(e21,e22) != e23
| op2(e21,e21) != e21
| op2(e21,e20) != e20
| e21 = e23 ),
inference(paramod,[status(thm)],[c_8129,c_8082]) ).
cnf(c_8546,plain,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e21) != e23
| op2(e21,e22) != e23
| e21 != e21
| op2(e21,e20) != e20
| e21 = e23 ),
inference(paramod,[status(thm)],[c_8129,c_8545]) ).
cnf(c_8547,plain,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e21) != e23
| op2(e21,e22) != e23
| op2(e21,e20) != e20
| e21 = e23 ),
inference(copy,[status(thm)],[c_8546]) ).
cnf(c_8134,plain,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e22,e21) != e23
| op2(e21,e22) != e23
| op2(e21,e20) != e20 ),
inference(resolve,[status(thm)],[c_274,c_8547]) ).
cnf(c_8548,plain,
( op2(e22,e21) != e21
| e21 = e23 ),
inference(paramod,[status(thm)],[c_8129,c_7605]) ).
cnf(c_8138,plain,
op2(e22,e21) != e21,
inference(resolve,[status(thm)],[c_274,c_8548]) ).
cnf(c_8549,plain,
( op2(e21,e22) = e23
| e21 = e23
| op2(e23,e20) = e20 ),
inference(paramod,[status(thm)],[c_8129,c_5721]) ).
cnf(c_8143,plain,
( op2(e21,e22) = e23
| op2(e23,e20) = e20 ),
inference(resolve,[status(thm)],[c_274,c_8549]) ).
cnf(c_8550,plain,
( op2(op2(e21,e21),e21) = op2(e22,e21)
| op2(e22,e21) = e23 ),
inference(paramod,[status(thm)],[c_8129,c_5672]) ).
cnf(c_8551,plain,
( op2(e21,e21) = op2(e22,e21)
| op2(e22,e21) = e23 ),
inference(paramod,[status(thm)],[c_8129,c_8550]) ).
cnf(c_8552,plain,
( e21 = op2(e22,e21)
| op2(e22,e21) = e23 ),
inference(paramod,[status(thm)],[c_8129,c_8551]) ).
cnf(c_8553,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e23 ),
inference(copy,[status(thm)],[c_8552]) ).
cnf(c_8144,plain,
op2(e22,e21) = e23,
inference(resolve,[status(thm)],[c_8138,c_8553]) ).
cnf(c_8554,plain,
( op2(e22,e21) = e22
| op2(e23,e20) = e23
| op2(e23,e22) = e20 ),
inference(paramod,[status(thm)],[c_8133,c_8008]) ).
cnf(c_8555,plain,
( e23 = e22
| op2(e23,e20) = e23
| op2(e23,e22) = e20 ),
inference(paramod,[status(thm)],[c_8144,c_8554]) ).
cnf(c_8556,plain,
( e22 = e23
| op2(e23,e20) = e23
| op2(e23,e22) = e20 ),
inference(copy,[status(thm)],[c_8555]) ).
cnf(c_8155,plain,
( op2(e23,e20) = e23
| op2(e23,e22) = e20 ),
inference(resolve,[status(thm)],[c_276,c_8556]) ).
cnf(c_8557,plain,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| e23 != e23
| op2(e21,e22) != e23
| op2(e21,e20) != e20 ),
inference(paramod,[status(thm)],[c_8144,c_8134]) ).
cnf(c_8172,plain,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e21,e22) != e23
| op2(e21,e20) != e20 ),
inference(copy,[status(thm)],[c_8557]) ).
cnf(c_8180,plain,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e21,e20) != e20
| op2(e23,e20) = e20 ),
inference(resolve,[status(thm)],[c_8143,c_8172]) ).
cnf(c_8558,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[status(thm)],[c_8155,c_3314]) ).
cnf(c_8186,plain,
op2(e23,e20) = e23,
inference(copy,[status(thm)],[c_8558]) ).
cnf(c_8559,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e20 ),
inference(resolve,[status(thm)],[c_8155,c_3288]) ).
cnf(c_8189,plain,
op2(e23,e22) = e20,
inference(copy,[status(thm)],[c_8559]) ).
cnf(c_8560,plain,
( op2(e23,e22) != e20
| op2(e23,e20) != e23
| op2(e21,e20) != e20
| e23 = e20 ),
inference(paramod,[status(thm)],[c_8186,c_8180]) ).
cnf(c_8561,plain,
( op2(e23,e22) != e20
| e23 != e23
| op2(e21,e20) != e20
| e23 = e20 ),
inference(paramod,[status(thm)],[c_8186,c_8560]) ).
cnf(c_8562,plain,
( e20 != e20
| e23 != e23
| op2(e21,e20) != e20
| e23 = e20 ),
inference(paramod,[status(thm)],[c_8189,c_8561]) ).
cnf(c_8563,plain,
( e20 != e20
| e23 != e23
| op2(e21,e20) != e20
| e20 = e23 ),
inference(copy,[status(thm)],[c_8562]) ).
cnf(c_8564,plain,
( e20 != e20
| op2(e21,e20) != e20
| e20 = e23 ),
inference(copy,[status(thm)],[c_8563]) ).
cnf(c_8565,plain,
( op2(e21,e20) != e20
| e20 = e23 ),
inference(copy,[status(thm)],[c_8564]) ).
cnf(c_8190,plain,
op2(e21,e20) != e20,
inference(resolve,[status(thm)],[c_271,c_8565]) ).
cnf(c_8566,plain,
( e23 != e23
| op2(e21,e20) = e20 ),
inference(paramod,[status(thm)],[c_8186,c_8016]) ).
cnf(c_8567,plain,
op2(e21,e20) = e20,
inference(copy,[status(thm)],[c_8566]) ).
cnf(c_8192,plain,
$false,
inference(resolve,[status(thm)],[c_8190,c_8567]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG106+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.57 % Computer : n002.cluster.edu
% 0.09/5.57 % Model : x86_64 x86_64
% 0.09/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.57 % Memory : 8046.5625MB
% 0.09/5.57 % OS : Linux 6.8.0-71-generic
% 0.09/5.57 % CPULimit : 300
% 0.09/5.57 % WCLimit : 300
% 0.09/5.57 % DateTime : Sat Sep 26 21:12:45 UTC 2026
% 0.09/5.57 % CPUTime :
% 0.09/5.57 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.57 % Process 2696559 was started by sandbox on n002,
% 0.09/5.57 % Sat Sep 26 21:12:45 2026
% 0.09/5.57 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 12.44/17.97
% 12.44/17.97 % From the command line: assign(max_seconds, 300).
% 270.98/52.33
% 270.98/52.33 % given #500 (T,wt=10): 3339 op2(e21,e23) = e23 | op2(e21,e22) != e22. [para(2515(a,1),240(a,2))].
% 270.98/52.33
% 270.98/52.33 % given #1000 (W,wt=10): 6519 op1(e11,e11) = e11 | op1(e11,e12) != e13. [back_unit_del(3187),unit_del(a,6465)].
% 270.98/52.33
% 270.98/52.33 % SZS status Theorem for theBenchmark
% 270.98/52.33
% 270.98/52.33 % Proof 1 at 3.47 (+ 0.48) seconds.
% 270.98/52.33 % Length of proof is 540.
% 270.98/52.33 % Level of proof is 39.
% 270.98/52.33 % Maximum clause weight is 173.000.
% 270.98/52.33 % Given clauses 1203.
% 270.98/52.33
% 270.98/52.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------