%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG123+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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 06:49:34 AM UTC 2026
% Result : Theorem 23.10s 17.16s
% Output : CNFRefutation 23.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 135
% Number of leaves : 33
% Syntax : Number of formulae : 886 ( 233 unt; 16 def)
% Number of atoms : 4822 (4521 equ)
% Maximal formula atoms : 180 ( 5 avg)
% Number of connectives : 6358 (2422 ~;3330 |; 590 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 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(e13,e13) != e13 )
& ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e13) = e13 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e12) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e11) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e10) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e13) = e13 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e11) = e11 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e10) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
file('theBenchmark.p',ax10) ).
fof(ax11,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e23) = e23 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e22) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e21) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e20) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e23) = e23 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e21) = e21 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e20) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
file('theBenchmark.p',ax11) ).
fof(ax12,axiom,
( e12 = op1(op1(e13,e13),e13)
& e11 = op1(op1(op1(e13,e13),e13),e13)
& e10 = op1(e13,e13) ),
file('theBenchmark.p',ax12) ).
fof(ax13,axiom,
( e22 = op2(op2(e23,e23),e23)
& e21 = op2(op2(op2(e23,e23),e23),e23)
& e20 = op2(e23,e23) ),
file('theBenchmark.p',ax13) ).
fof(ax14,axiom,
( h1(e12) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(op2(e20,e20),e20),e20)
& h1(e10) = op2(e20,e20)
& h1(e13) = e20 ),
file('theBenchmark.p',ax14) ).
fof(ax15,axiom,
( h2(e12) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(op2(e21,e21),e21),e21)
& h2(e10) = op2(e21,e21)
& h2(e13) = e21 ),
file('theBenchmark.p',ax15) ).
fof(ax16,axiom,
( h3(e12) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(op2(e22,e22),e22),e22)
& h3(e10) = op2(e22,e22)
& h3(e13) = e22 ),
file('theBenchmark.p',ax16) ).
fof(ax17,axiom,
( h4(e12) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(op2(e23,e23),e23),e23)
& h4(e10) = op2(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_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_29,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_32,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = 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_35,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(clausify,[status(thm)],[ax2]) ).
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_38,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
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_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_48,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_51,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
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_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_57,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_58,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_61,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_66,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = 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_73,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = 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_75,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_77,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_80,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_83,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_84,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(clausify,[status(thm)],[ax4]) ).
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_86,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
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_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_99,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
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_105,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_106,plain,
( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_109,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_115,plain,
op1(e11,e10) != op1(e10,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_120,plain,
op1(e12,e10) != op1(e11,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_121,plain,
op1(e11,e10) != op1(e12,e10),
inference(copy,[status(thm)],[c_120]) ).
cnf(c_122,plain,
op1(e13,e10) != op1(e11,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_123,plain,
op1(e11,e10) != op1(e13,e10),
inference(copy,[status(thm)],[c_122]) ).
cnf(c_124,plain,
op1(e13,e10) != op1(e12,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_125,plain,
op1(e12,e10) != op1(e13,e10),
inference(copy,[status(thm)],[c_124]) ).
cnf(c_127,plain,
op1(e12,e11) != op1(e10,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_128,plain,
op1(e10,e11) != op1(e12,e11),
inference(copy,[status(thm)],[c_127]) ).
cnf(c_129,plain,
op1(e13,e11) != op1(e10,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_130,plain,
op1(e10,e11) != op1(e13,e11),
inference(copy,[status(thm)],[c_129]) ).
cnf(c_142,plain,
op1(e12,e12) != op1(e11,e12),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_143,plain,
op1(e11,e12) != op1(e12,e12),
inference(copy,[status(thm)],[c_142]) ).
cnf(c_144,plain,
op1(e13,e12) != op1(e11,e12),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_145,plain,
op1(e11,e12) != op1(e13,e12),
inference(copy,[status(thm)],[c_144]) ).
cnf(c_159,plain,
op1(e10,e11) != op1(e10,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_162,plain,
op1(e10,e13) != op1(e10,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_163,plain,
op1(e10,e10) != op1(e10,e13),
inference(copy,[status(thm)],[c_162]) ).
cnf(c_166,plain,
op1(e10,e13) != op1(e10,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_167,plain,
op1(e10,e11) != op1(e10,e13),
inference(copy,[status(thm)],[c_166]) ).
cnf(c_170,plain,
op1(e11,e11) != op1(e11,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_175,plain,
op1(e11,e12) != op1(e11,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_176,plain,
op1(e11,e11) != op1(e11,e12),
inference(copy,[status(thm)],[c_175]) ).
cnf(c_179,plain,
op1(e11,e13) != op1(e11,e12),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_180,plain,
op1(e11,e12) != op1(e11,e13),
inference(copy,[status(thm)],[c_179]) ).
cnf(c_182,plain,
op1(e12,e12) != op1(e12,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_183,plain,
op1(e12,e10) != op1(e12,e12),
inference(copy,[status(thm)],[c_182]) ).
cnf(c_184,plain,
op1(e12,e13) != op1(e12,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_185,plain,
op1(e12,e10) != op1(e12,e13),
inference(copy,[status(thm)],[c_184]) ).
cnf(c_190,plain,
op1(e12,e13) != op1(e12,e12),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_191,plain,
op1(e12,e12) != op1(e12,e13),
inference(copy,[status(thm)],[c_190]) ).
cnf(c_192,plain,
op1(e13,e11) != op1(e13,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_193,plain,
op1(e13,e12) != op1(e13,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_194,plain,
op1(e13,e10) != op1(e13,e12),
inference(copy,[status(thm)],[c_193]) ).
cnf(c_199,plain,
op1(e13,e13) != op1(e13,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_200,plain,
op1(e13,e11) != op1(e13,e13),
inference(copy,[status(thm)],[c_199]) ).
cnf(c_201,plain,
op1(e13,e13) != op1(e13,e12),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_202,plain,
op1(e13,e12) != op1(e13,e13),
inference(copy,[status(thm)],[c_201]) ).
cnf(c_204,plain,
op2(e22,e20) != op2(e20,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_205,plain,
op2(e20,e20) != op2(e22,e20),
inference(copy,[status(thm)],[c_204]) ).
cnf(c_212,plain,
op2(e23,e20) != op2(e22,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_213,plain,
op2(e22,e20) != op2(e23,e20),
inference(copy,[status(thm)],[c_212]) ).
cnf(c_215,plain,
op2(e22,e21) != op2(e20,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_216,plain,
op2(e20,e21) != op2(e22,e21),
inference(copy,[status(thm)],[c_215]) ).
cnf(c_217,plain,
op2(e23,e21) != op2(e20,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_218,plain,
op2(e20,e21) != op2(e23,e21),
inference(copy,[status(thm)],[c_217]) ).
cnf(c_221,plain,
op2(e23,e21) != op2(e21,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_222,plain,
op2(e21,e21) != op2(e23,e21),
inference(copy,[status(thm)],[c_221]) ).
cnf(c_236,plain,
op2(e21,e23) != op2(e20,e23),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_241,plain,
op2(e22,e23) != op2(e21,e23),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_242,plain,
op2(e21,e23) != op2(e22,e23),
inference(copy,[status(thm)],[c_241]) ).
cnf(c_243,plain,
op2(e23,e23) != op2(e21,e23),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_244,plain,
op2(e21,e23) != op2(e23,e23),
inference(copy,[status(thm)],[c_243]) ).
cnf(c_247,plain,
op2(e20,e21) != op2(e20,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_250,plain,
op2(e20,e23) != op2(e20,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_251,plain,
op2(e20,e20) != op2(e20,e23),
inference(copy,[status(thm)],[c_250]) ).
cnf(c_254,plain,
op2(e20,e23) != op2(e20,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_255,plain,
op2(e20,e21) != op2(e20,e23),
inference(copy,[status(thm)],[c_254]) ).
cnf(c_259,plain,
op2(e21,e22) != op2(e21,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_260,plain,
op2(e21,e20) != op2(e21,e22),
inference(copy,[status(thm)],[c_259]) ).
cnf(c_263,plain,
op2(e21,e22) != op2(e21,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_264,plain,
op2(e21,e21) != op2(e21,e22),
inference(copy,[status(thm)],[c_263]) ).
cnf(c_267,plain,
op2(e21,e23) != op2(e21,e22),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_268,plain,
op2(e21,e22) != op2(e21,e23),
inference(copy,[status(thm)],[c_267]) ).
cnf(c_270,plain,
op2(e22,e22) != op2(e22,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_271,plain,
op2(e22,e20) != op2(e22,e22),
inference(copy,[status(thm)],[c_270]) ).
cnf(c_272,plain,
op2(e22,e23) != op2(e22,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_273,plain,
op2(e22,e20) != op2(e22,e23),
inference(copy,[status(thm)],[c_272]) ).
cnf(c_276,plain,
op2(e22,e23) != op2(e22,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_277,plain,
op2(e22,e21) != op2(e22,e23),
inference(copy,[status(thm)],[c_276]) ).
cnf(c_278,plain,
op2(e22,e23) != op2(e22,e22),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_279,plain,
op2(e22,e22) != op2(e22,e23),
inference(copy,[status(thm)],[c_278]) ).
cnf(c_280,plain,
op2(e23,e21) != op2(e23,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_281,plain,
op2(e23,e22) != op2(e23,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_282,plain,
op2(e23,e20) != op2(e23,e22),
inference(copy,[status(thm)],[c_281]) ).
cnf(c_285,plain,
op2(e23,e22) != op2(e23,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_286,plain,
op2(e23,e21) != op2(e23,e22),
inference(copy,[status(thm)],[c_285]) ).
cnf(c_287,plain,
op2(e23,e23) != op2(e23,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_288,plain,
op2(e23,e21) != op2(e23,e23),
inference(copy,[status(thm)],[c_287]) ).
cnf(c_289,plain,
op2(e23,e23) != op2(e23,e22),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_290,plain,
op2(e23,e22) != op2(e23,e23),
inference(copy,[status(thm)],[c_289]) ).
cnf(c_291,plain,
e11 != e10,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_292,plain,
e12 != e10,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_293,plain,
e10 != e12,
inference(copy,[status(thm)],[c_292]) ).
cnf(c_294,plain,
e13 != e10,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_295,plain,
e10 != e13,
inference(copy,[status(thm)],[c_294]) ).
cnf(c_296,plain,
e12 != e11,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_297,plain,
e11 != e12,
inference(copy,[status(thm)],[c_296]) ).
cnf(c_298,plain,
e13 != e11,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_299,plain,
e11 != e13,
inference(copy,[status(thm)],[c_298]) ).
cnf(c_300,plain,
e13 != e12,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_301,plain,
e12 != e13,
inference(copy,[status(thm)],[c_300]) ).
cnf(c_302,plain,
e21 != e20,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_303,plain,
e22 != e20,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_304,plain,
e20 != e22,
inference(copy,[status(thm)],[c_303]) ).
cnf(c_305,plain,
e23 != e20,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_306,plain,
e20 != e23,
inference(copy,[status(thm)],[c_305]) ).
cnf(c_307,plain,
e22 != e21,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_308,plain,
e21 != e22,
inference(copy,[status(thm)],[c_307]) ).
cnf(c_309,plain,
e23 != e21,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_310,plain,
e21 != e23,
inference(copy,[status(thm)],[c_309]) ).
cnf(c_311,plain,
e23 != e22,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_312,plain,
e22 != e23,
inference(copy,[status(thm)],[c_311]) ).
fof(def_defn_00,definition,
( defn_00
<=> ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e11) = e11 ) ),
introduced(definition,[new_symbols(definition,[defn_00])],[]) ).
fof(def_defn_10,definition,
( defn_10
<=> ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e12) = e12 ) ),
introduced(definition,[new_symbols(definition,[defn_10])],[]) ).
fof(def_defn_20,definition,
( defn_20
<=> ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e13) = e13 ) ),
introduced(definition,[new_symbols(definition,[defn_20])],[]) ).
fof(def_defn_30,definition,
( defn_30
<=> ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_30])],[]) ).
fof(def_defn_40,definition,
( defn_40
<=> ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 ) ),
introduced(definition,[new_symbols(definition,[defn_40])],[]) ).
fof(def_defn_50,definition,
( defn_50
<=> ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 ) ),
introduced(definition,[new_symbols(definition,[defn_50])],[]) ).
fof(def_defn_60,definition,
( defn_60
<=> ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e10) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_60])],[]) ).
fof(def_defn_70,definition,
( defn_70
<=> ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e11) = e11 ) ),
introduced(definition,[new_symbols(definition,[defn_70])],[]) ).
cnf(c_340,plain,
( op1(e13,e12) = e12
| op1(e13,e11) = e11
| op1(e13,e10) = e10
| op1(e12,e13) = e13
| 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]) ).
cnf(c_365,plain,
( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 ),
inference(clausify,[status(thm)],[ax10]) ).
cnf(c_368,plain,
( op1(e10,e13) = e10
| op1(e10,e10) != e13 ),
inference(clausify,[status(thm)],[ax10]) ).
cnf(c_369,plain,
( op1(e11,e10) = e11
| op1(e11,e11) != e10 ),
inference(clausify,[status(thm)],[ax10]) ).
cnf(c_370,plain,
( op1(e11,e12) = e11
| op1(e11,e11) != e12 ),
inference(clausify,[status(thm)],[ax10]) ).
cnf(c_374,plain,
( op1(e12,e13) = e12
| op1(e12,e12) != e13 ),
inference(clausify,[status(thm)],[ax10]) ).
cnf(c_375,plain,
( op1(e13,e10) = e13
| op1(e13,e13) != e10 ),
inference(clausify,[status(thm)],[ax10]) ).
cnf(c_382,plain,
( op1(e12,e11) = e11
| ~ defn_70 ),
inference(clausify,[status(thm)],[ax10,def_defn_70]) ).
cnf(c_384,plain,
( op1(e12,e12) != e12
| ~ defn_60 ),
inference(clausify,[status(thm)],[ax10,def_defn_60]) ).
cnf(c_387,plain,
( op1(e12,e10) = e10
| ~ defn_60 ),
inference(clausify,[status(thm)],[ax10,def_defn_60]) ).
cnf(c_391,plain,
( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ defn_50 ),
inference(clausify,[status(thm)],[ax10,def_defn_50]) ).
cnf(c_396,plain,
( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ defn_40 ),
inference(clausify,[status(thm)],[ax10,def_defn_40]) ).
cnf(c_397,plain,
( op1(e11,e12) = e12
| ~ defn_40 ),
inference(clausify,[status(thm)],[ax10,def_defn_40]) ).
cnf(c_401,plain,
( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ defn_30 ),
inference(clausify,[status(thm)],[ax10,def_defn_30]) ).
cnf(c_402,plain,
( op1(e11,e10) = e10
| ~ defn_30 ),
inference(clausify,[status(thm)],[ax10,def_defn_30]) ).
cnf(c_407,plain,
( op1(e10,e13) = e13
| ~ defn_20 ),
inference(clausify,[status(thm)],[ax10,def_defn_20]) ).
cnf(c_408,plain,
( op1(e13,e10) != e13
| op1(e13,e13) != e10
| ~ defn_10 ),
inference(clausify,[status(thm)],[ax10,def_defn_10]) ).
cnf(c_413,plain,
( op1(e13,e10) != e13
| op1(e13,e13) != e10
| ~ defn_00 ),
inference(clausify,[status(thm)],[ax10,def_defn_00]) ).
fof(def_defn_80,definition,
( defn_80
<=> ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e21) = e21 ) ),
introduced(definition,[new_symbols(definition,[defn_80])],[]) ).
fof(def_defn_90,definition,
( defn_90
<=> ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e22) = e22 ) ),
introduced(definition,[new_symbols(definition,[defn_90])],[]) ).
fof(def_defn_100,definition,
( defn_100
<=> ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e23) = e23 ) ),
introduced(definition,[new_symbols(definition,[defn_100])],[]) ).
fof(def_defn_110,definition,
( defn_110
<=> ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_110])],[]) ).
fof(def_defn_120,definition,
( defn_120
<=> ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 ) ),
introduced(definition,[new_symbols(definition,[defn_120])],[]) ).
fof(def_defn_130,definition,
( defn_130
<=> ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 ) ),
introduced(definition,[new_symbols(definition,[defn_130])],[]) ).
fof(def_defn_140,definition,
( defn_140
<=> ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e20) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_140])],[]) ).
fof(def_defn_150,definition,
( defn_150
<=> ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e21) = e21 ) ),
introduced(definition,[new_symbols(definition,[defn_150])],[]) ).
cnf(c_418,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e21
| op2(e23,e20) = e20
| op2(e22,e23) = e23
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80 ),
inference(clausify,[status(thm)],[ax11,def_defn_80,def_defn_90,def_defn_100,def_defn_110,def_defn_120,def_defn_130,def_defn_140,def_defn_150]) ).
cnf(c_443,plain,
( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 ),
inference(clausify,[status(thm)],[ax11]) ).
cnf(c_446,plain,
( op2(e20,e23) = e20
| op2(e20,e20) != e23 ),
inference(clausify,[status(thm)],[ax11]) ).
cnf(c_452,plain,
( op2(e22,e23) = e22
| op2(e22,e22) != e23 ),
inference(clausify,[status(thm)],[ax11]) ).
cnf(c_453,plain,
( op2(e23,e20) = e23
| op2(e23,e23) != e20 ),
inference(clausify,[status(thm)],[ax11]) ).
cnf(c_460,plain,
( op2(e22,e21) = e21
| ~ defn_150 ),
inference(clausify,[status(thm)],[ax11,def_defn_150]) ).
cnf(c_462,plain,
( op2(e22,e22) != e22
| ~ defn_140 ),
inference(clausify,[status(thm)],[ax11,def_defn_140]) ).
cnf(c_465,plain,
( op2(e22,e20) = e20
| ~ defn_140 ),
inference(clausify,[status(thm)],[ax11,def_defn_140]) ).
cnf(c_468,plain,
( op2(e21,e21) != e21
| ~ defn_130 ),
inference(clausify,[status(thm)],[ax11,def_defn_130]) ).
cnf(c_469,plain,
( op2(e20,e21) != e20
| op2(e20,e20) != e21
| ~ defn_130 ),
inference(clausify,[status(thm)],[ax11,def_defn_130]) ).
cnf(c_473,plain,
( op2(e21,e21) != e21
| ~ defn_120 ),
inference(clausify,[status(thm)],[ax11,def_defn_120]) ).
cnf(c_478,plain,
( op2(e21,e21) != e21
| ~ defn_110 ),
inference(clausify,[status(thm)],[ax11,def_defn_110]) ).
cnf(c_485,plain,
( op2(e20,e23) = e23
| ~ defn_100 ),
inference(clausify,[status(thm)],[ax11,def_defn_100]) ).
cnf(c_486,plain,
( op2(e23,e20) != e23
| op2(e23,e23) != e20
| ~ defn_90 ),
inference(clausify,[status(thm)],[ax11,def_defn_90]) ).
cnf(c_491,plain,
( op2(e23,e20) != e23
| op2(e23,e23) != e20
| ~ defn_80 ),
inference(clausify,[status(thm)],[ax11,def_defn_80]) ).
cnf(c_496,plain,
op1(e13,e13) = e10,
inference(clausify,[status(thm)],[ax12]) ).
cnf(c_497,plain,
op1(op1(op1(e13,e13),e13),e13) = e11,
inference(clausify,[status(thm)],[ax12]) ).
cnf(c_498,plain,
op1(op1(e10,e13),e13) = e11,
inference(paramod,[status(thm)],[c_496,c_497]) ).
cnf(c_499,plain,
op1(op1(e13,e13),e13) = e12,
inference(clausify,[status(thm)],[ax12]) ).
cnf(c_500,plain,
op1(e10,e13) = e12,
inference(paramod,[status(thm)],[c_496,c_499]) ).
cnf(c_501,plain,
op2(e23,e23) = e20,
inference(clausify,[status(thm)],[ax13]) ).
cnf(c_502,plain,
op2(op2(op2(e23,e23),e23),e23) = e21,
inference(clausify,[status(thm)],[ax13]) ).
cnf(c_503,plain,
op2(op2(e20,e23),e23) = e21,
inference(paramod,[status(thm)],[c_501,c_502]) ).
cnf(c_504,plain,
op2(op2(e23,e23),e23) = e22,
inference(clausify,[status(thm)],[ax13]) ).
cnf(c_505,plain,
op2(e20,e23) = e22,
inference(paramod,[status(thm)],[c_501,c_504]) ).
cnf(c_507,plain,
h1(e10) = op2(e20,e20),
inference(clausify,[status(thm)],[ax14]) ).
cnf(c_508,plain,
op2(e20,e20) = h1(e10),
inference(copy,[status(thm)],[c_507]) ).
cnf(c_511,plain,
h1(e12) = op2(op2(e20,e20),e20),
inference(clausify,[status(thm)],[ax14]) ).
cnf(c_3380,plain,
h1(e12) = op2(h1(e10),e20),
inference(paramod,[status(thm)],[c_508,c_511]) ).
cnf(c_512,plain,
op2(h1(e10),e20) = h1(e12),
inference(copy,[status(thm)],[c_3380]) ).
cnf(c_514,plain,
h2(e10) = op2(e21,e21),
inference(clausify,[status(thm)],[ax15]) ).
cnf(c_515,plain,
op2(e21,e21) = h2(e10),
inference(copy,[status(thm)],[c_514]) ).
cnf(c_516,plain,
h2(e11) = op2(op2(op2(e21,e21),e21),e21),
inference(clausify,[status(thm)],[ax15]) ).
cnf(c_3381,plain,
h2(e11) = op2(op2(h2(e10),e21),e21),
inference(paramod,[status(thm)],[c_515,c_516]) ).
cnf(c_517,plain,
op2(op2(h2(e10),e21),e21) = h2(e11),
inference(copy,[status(thm)],[c_3381]) ).
cnf(c_518,plain,
h2(e12) = op2(op2(e21,e21),e21),
inference(clausify,[status(thm)],[ax15]) ).
cnf(c_3382,plain,
h2(e12) = op2(h2(e10),e21),
inference(paramod,[status(thm)],[c_515,c_518]) ).
cnf(c_519,plain,
op2(h2(e10),e21) = h2(e12),
inference(copy,[status(thm)],[c_3382]) ).
cnf(c_521,plain,
h3(e10) = op2(e22,e22),
inference(clausify,[status(thm)],[ax16]) ).
cnf(c_522,plain,
op2(e22,e22) = h3(e10),
inference(copy,[status(thm)],[c_521]) ).
cnf(c_525,plain,
h3(e12) = op2(op2(e22,e22),e22),
inference(clausify,[status(thm)],[ax16]) ).
cnf(c_3383,plain,
h3(e12) = op2(h3(e10),e22),
inference(paramod,[status(thm)],[c_522,c_525]) ).
cnf(c_526,plain,
op2(h3(e10),e22) = h3(e12),
inference(copy,[status(thm)],[c_3383]) ).
cnf(c_527,plain,
h4(e13) = e23,
inference(clausify,[status(thm)],[ax17]) ).
cnf(c_528,plain,
h4(e10) = op2(e23,e23),
inference(clausify,[status(thm)],[ax17]) ).
cnf(c_529,plain,
h4(e10) = e20,
inference(paramod,[status(thm)],[c_501,c_528]) ).
cnf(c_530,plain,
h4(e11) = op2(op2(op2(e23,e23),e23),e23),
inference(clausify,[status(thm)],[ax17]) ).
cnf(c_3384,plain,
h4(e11) = op2(op2(e20,e23),e23),
inference(paramod,[status(thm)],[c_501,c_530]) ).
cnf(c_3385,plain,
h4(e11) = op2(e22,e23),
inference(paramod,[status(thm)],[c_505,c_3384]) ).
cnf(c_531,plain,
op2(e22,e23) = h4(e11),
inference(copy,[status(thm)],[c_3385]) ).
cnf(c_532,plain,
h4(e12) = op2(op2(e23,e23),e23),
inference(clausify,[status(thm)],[ax17]) ).
cnf(c_3386,plain,
h4(e12) = op2(e20,e23),
inference(paramod,[status(thm)],[c_501,c_532]) ).
cnf(c_533,plain,
h4(e12) = e22,
inference(paramod,[status(thm)],[c_505,c_3386]) ).
cnf(c_1656,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_3387,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(e20,h4(e10)) ),
inference(paramod,[status(thm)],[c_529,c_1656]) ).
cnf(c_3388,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(e20,e20) ),
inference(paramod,[status(thm)],[c_529,c_3387]) ).
cnf(c_3389,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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_508,c_3388]) ).
cnf(c_3390,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(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_529,c_3389]) ).
cnf(c_3391,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(e20,h4(e12))
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_529,c_3390]) ).
cnf(c_3392,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(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_533,c_3391]) ).
cnf(c_3393,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(e12) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_500,c_3392]) ).
cnf(c_3394,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))
| e22 != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_533,c_3393]) ).
cnf(c_3395,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))
| e22 != op2(e20,h4(e13))
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_529,c_3394]) ).
cnf(c_3396,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))
| e22 != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_527,c_3395]) ).
cnf(c_3397,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))
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_505,c_3396]) ).
cnf(c_3398,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),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_529,c_3397]) ).
cnf(c_3399,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),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_533,c_3398]) ).
cnf(c_3400,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),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_527,c_3399]) ).
cnf(c_3401,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(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_533,c_3400]) ).
cnf(c_3402,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,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_529,c_3401]) ).
cnf(c_3403,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,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_533,c_3402]) ).
cnf(c_3404,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,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_533,c_3403]) ).
cnf(c_3405,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,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_533,c_3404]) ).
cnf(c_3406,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)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_522,c_3405]) ).
cnf(c_3407,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)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_533,c_3406]) ).
cnf(c_3408,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)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_527,c_3407]) ).
cnf(c_3409,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)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_531,c_3408]) ).
cnf(c_3410,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)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_527,c_3409]) ).
cnf(c_3411,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,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_529,c_3410]) ).
cnf(c_3412,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(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_527,c_3411]) ).
cnf(c_3413,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))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_527,c_3412]) ).
cnf(c_3414,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)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_533,c_3413]) ).
cnf(c_3415,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| h4(e10) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_496,c_3414]) ).
cnf(c_3416,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| e20 != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_529,c_3415]) ).
cnf(c_3417,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| e20 != op2(e23,h4(e13))
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_527,c_3416]) ).
cnf(c_3418,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| e20 != op2(e23,e23)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_527,c_3417]) ).
cnf(c_3419,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| e20 != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_501,c_3418]) ).
cnf(c_3420,negated_conjecture,
( h4(e13) != e23
| h4(e12) != e22
| h4(e11) != e21
| e20 != e20
| e20 != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_529,c_3419]) ).
cnf(c_3421,negated_conjecture,
( h4(e13) != e23
| e22 != e22
| h4(e11) != e21
| e20 != e20
| e20 != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_533,c_3420]) ).
cnf(c_3422,negated_conjecture,
( e23 != e23
| e22 != e22
| h4(e11) != e21
| e20 != e20
| e20 != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_527,c_3421]) ).
cnf(c_3423,negated_conjecture,
( e23 != e23
| e22 != e22
| h4(e11) != e21
| e20 != e20
| e20 != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| e22 != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(copy,[status(thm)],[c_3422]) ).
cnf(c_3424,negated_conjecture,
( e23 != e23
| e22 != e22
| h4(e11) != e21
| e20 != e20
| e20 != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(copy,[status(thm)],[c_3423]) ).
cnf(c_3425,negated_conjecture,
( e23 != e23
| e22 != e22
| h4(e11) != e21
| e20 != e20
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(copy,[status(thm)],[c_3424]) ).
cnf(c_3426,negated_conjecture,
( e23 != e23
| e22 != e22
| h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(copy,[status(thm)],[c_3425]) ).
cnf(c_3427,negated_conjecture,
( e23 != e23
| h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(copy,[status(thm)],[c_3426]) ).
cnf(c_1657,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e10) ),
inference(copy,[status(thm)],[c_3427]) ).
cnf(c_3428,plain,
( op1(e13,e10) != e13
| e10 != e10
| ~ defn_00 ),
inference(paramod,[status(thm)],[c_496,c_413]) ).
cnf(c_1886,plain,
( op1(e13,e10) != e13
| ~ defn_00 ),
inference(copy,[status(thm)],[c_3428]) ).
cnf(c_3429,plain,
( op1(e13,e10) != e13
| e10 != e10
| ~ defn_10 ),
inference(paramod,[status(thm)],[c_496,c_408]) ).
cnf(c_1887,plain,
( op1(e13,e10) != e13
| ~ defn_10 ),
inference(copy,[status(thm)],[c_3429]) ).
cnf(c_3430,plain,
( op1(e13,e10) = e13
| e10 != e10 ),
inference(paramod,[status(thm)],[c_496,c_375]) ).
cnf(c_1889,plain,
op1(e13,e10) = e13,
inference(copy,[status(thm)],[c_3430]) ).
cnf(c_3431,plain,
( e10 = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 ),
inference(paramod,[status(thm)],[c_496,c_365]) ).
cnf(c_1890,plain,
( op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 ),
inference(resolve,[status(thm)],[c_295,c_3431]) ).
cnf(c_1891,plain,
op1(e13,e12) != e10,
inference(paramod,[status(thm)],[c_496,c_202]) ).
cnf(c_1892,plain,
op1(e13,e11) != e10,
inference(paramod,[status(thm)],[c_496,c_200]) ).
cnf(c_3432,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| e12 = e13 ),
inference(paramod,[status(thm)],[c_500,c_66]) ).
cnf(c_3433,plain,
( e10 = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| e12 = e13 ),
inference(paramod,[status(thm)],[c_496,c_3432]) ).
cnf(c_3434,plain,
( e10 = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[status(thm)],[c_301,c_3433]) ).
cnf(c_1895,plain,
( op1(e12,e13) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[status(thm)],[c_295,c_3434]) ).
cnf(c_3435,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| e13 = e11 ),
inference(paramod,[status(thm)],[c_1889,c_61]) ).
cnf(c_3436,plain,
( e10 = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| e13 = e11 ),
inference(paramod,[status(thm)],[c_496,c_3435]) ).
cnf(c_3437,plain,
( e10 = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| e11 = e13 ),
inference(copy,[status(thm)],[c_3436]) ).
cnf(c_3438,plain,
( e11 = e10
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| e11 = e13 ),
inference(copy,[status(thm)],[c_3437]) ).
cnf(c_3439,plain,
( e11 = e10
| op1(e13,e12) = e11
| op1(e13,e11) = e11 ),
inference(resolve,[status(thm)],[c_299,c_3438]) ).
cnf(c_1898,plain,
( op1(e13,e12) = e11
| op1(e13,e11) = e11 ),
inference(resolve,[status(thm)],[c_291,c_3439]) ).
cnf(c_1899,plain,
op1(e12,e13) = e11,
inference(paramod,[status(thm)],[c_500,c_498]) ).
cnf(c_3440,plain,
( e12 = e13
| ~ defn_20 ),
inference(paramod,[status(thm)],[c_500,c_407]) ).
cnf(c_1900,plain,
~ defn_20,
inference(resolve,[status(thm)],[c_301,c_3440]) ).
cnf(c_3441,plain,
( e12 = e10
| op1(e10,e10) != e13 ),
inference(paramod,[status(thm)],[c_500,c_368]) ).
cnf(c_3442,plain,
( e10 = e12
| op1(e10,e10) != e13 ),
inference(copy,[status(thm)],[c_3441]) ).
cnf(c_1901,plain,
op1(e10,e10) != e13,
inference(resolve,[status(thm)],[c_293,c_3442]) ).
cnf(c_1903,plain,
op1(e10,e11) != e12,
inference(paramod,[status(thm)],[c_500,c_167]) ).
cnf(c_1904,plain,
op1(e10,e10) != e12,
inference(paramod,[status(thm)],[c_500,c_163]) ).
cnf(c_3443,plain,
( e12 = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(paramod,[status(thm)],[c_500,c_37]) ).
cnf(c_3444,plain,
( e11 = e12
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(copy,[status(thm)],[c_3443]) ).
cnf(c_1907,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(resolve,[status(thm)],[c_297,c_3444]) ).
cnf(c_3445,plain,
( e12 = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(paramod,[status(thm)],[c_500,c_35]) ).
cnf(c_3446,plain,
( e10 = e12
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(copy,[status(thm)],[c_3445]) ).
cnf(c_1908,plain,
( op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(resolve,[status(thm)],[c_293,c_3446]) ).
cnf(c_3447,plain,
( op2(e23,e20) != e23
| e20 != e20
| ~ defn_80 ),
inference(paramod,[status(thm)],[c_501,c_491]) ).
cnf(c_1909,plain,
( op2(e23,e20) != e23
| ~ defn_80 ),
inference(copy,[status(thm)],[c_3447]) ).
cnf(c_3448,plain,
( op2(e23,e20) != e23
| e20 != e20
| ~ defn_90 ),
inference(paramod,[status(thm)],[c_501,c_486]) ).
cnf(c_1910,plain,
( op2(e23,e20) != e23
| ~ defn_90 ),
inference(copy,[status(thm)],[c_3448]) ).
cnf(c_3449,plain,
( op2(e23,e20) = e23
| e20 != e20 ),
inference(paramod,[status(thm)],[c_501,c_453]) ).
cnf(c_1912,plain,
op2(e23,e20) = e23,
inference(copy,[status(thm)],[c_3449]) ).
cnf(c_3450,plain,
( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_508,c_443]) ).
cnf(c_3451,plain,
( op2(e23,e23) = e23
| op2(e22,e22) = e22
| h2(e10) = e21
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_515,c_3450]) ).
cnf(c_3452,plain,
( op2(e23,e23) = e23
| h3(e10) = e22
| h2(e10) = e21
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_522,c_3451]) ).
cnf(c_3453,plain,
( e20 = e23
| h3(e10) = e22
| h2(e10) = e21
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_501,c_3452]) ).
cnf(c_1913,plain,
( h3(e10) = e22
| h2(e10) = e21
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_306,c_3453]) ).
cnf(c_1914,plain,
op2(e23,e22) != e20,
inference(paramod,[status(thm)],[c_501,c_290]) ).
cnf(c_1915,plain,
op2(e23,e21) != e20,
inference(paramod,[status(thm)],[c_501,c_288]) ).
cnf(c_1917,plain,
op2(e21,e23) != e20,
inference(paramod,[status(thm)],[c_501,c_244]) ).
cnf(c_3454,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| e23 = e21 ),
inference(paramod,[status(thm)],[c_1912,c_109]) ).
cnf(c_3455,plain,
( e20 = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| e23 = e21 ),
inference(paramod,[status(thm)],[c_501,c_3454]) ).
cnf(c_3456,plain,
( e20 = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| e21 = e23 ),
inference(copy,[status(thm)],[c_3455]) ).
cnf(c_3457,plain,
( e21 = e20
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| e21 = e23 ),
inference(copy,[status(thm)],[c_3456]) ).
cnf(c_3458,plain,
( e21 = e20
| op2(e23,e22) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[status(thm)],[c_310,c_3457]) ).
cnf(c_1921,plain,
( op2(e23,e22) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[status(thm)],[c_302,c_3458]) ).
cnf(c_3459,plain,
op2(e22,e23) = e21,
inference(paramod,[status(thm)],[c_505,c_503]) ).
cnf(c_1922,plain,
h4(e11) = e21,
inference(paramod,[status(thm)],[c_531,c_3459]) ).
cnf(c_3460,plain,
( e22 = e23
| ~ defn_100 ),
inference(paramod,[status(thm)],[c_505,c_485]) ).
cnf(c_1923,plain,
~ defn_100,
inference(resolve,[status(thm)],[c_312,c_3460]) ).
cnf(c_3461,plain,
( op2(e20,e23) = e20
| h1(e10) != e23 ),
inference(paramod,[status(thm)],[c_508,c_446]) ).
cnf(c_3462,plain,
( e22 = e20
| h1(e10) != e23 ),
inference(paramod,[status(thm)],[c_505,c_3461]) ).
cnf(c_3463,plain,
( e20 = e22
| h1(e10) != e23 ),
inference(copy,[status(thm)],[c_3462]) ).
cnf(c_1924,plain,
h1(e10) != e23,
inference(resolve,[status(thm)],[c_304,c_3463]) ).
cnf(c_1926,plain,
op2(e20,e21) != e22,
inference(paramod,[status(thm)],[c_505,c_255]) ).
cnf(c_3464,plain,
h1(e10) != op2(e20,e23),
inference(paramod,[status(thm)],[c_508,c_251]) ).
cnf(c_1927,plain,
h1(e10) != e22,
inference(paramod,[status(thm)],[c_505,c_3464]) ).
cnf(c_1928,plain,
op2(e21,e23) != e22,
inference(paramod,[status(thm)],[c_505,c_236]) ).
cnf(c_3465,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| h1(e10) = e21 ),
inference(paramod,[status(thm)],[c_508,c_85]) ).
cnf(c_3466,plain,
( e22 = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| h1(e10) = e21 ),
inference(paramod,[status(thm)],[c_505,c_3465]) ).
cnf(c_3467,plain,
( e21 = e22
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| h1(e10) = e21 ),
inference(copy,[status(thm)],[c_3466]) ).
cnf(c_1930,plain,
( op2(e20,e22) = e21
| op2(e20,e21) = e21
| h1(e10) = e21 ),
inference(resolve,[status(thm)],[c_308,c_3467]) ).
cnf(c_3468,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_508,c_83]) ).
cnf(c_3469,plain,
( e22 = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_505,c_3468]) ).
cnf(c_3470,plain,
( e20 = e22
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| h1(e10) = e20 ),
inference(copy,[status(thm)],[c_3469]) ).
cnf(c_1931,plain,
( op2(e20,e22) = e20
| op2(e20,e21) = e20
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_304,c_3470]) ).
cnf(c_1936,plain,
( op2(e20,e21) != e20
| h1(e10) != e21
| ~ defn_130 ),
inference(paramod,[status(thm)],[c_508,c_469]) ).
cnf(c_1939,plain,
op2(e20,e21) != h1(e10),
inference(paramod,[status(thm)],[c_508,c_247]) ).
cnf(c_3471,plain,
h1(e10) != op2(e22,e20),
inference(paramod,[status(thm)],[c_508,c_205]) ).
cnf(c_1940,plain,
op2(e22,e20) != h1(e10),
inference(copy,[status(thm)],[c_3471]) ).
cnf(c_3472,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| h1(e10) = e22 ),
inference(paramod,[status(thm)],[c_508,c_88]) ).
cnf(c_3473,plain,
( e23 = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| h1(e10) = e22 ),
inference(paramod,[status(thm)],[c_1912,c_3472]) ).
cnf(c_3474,plain,
( e22 = e23
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| h1(e10) = e22 ),
inference(copy,[status(thm)],[c_3473]) ).
cnf(c_3475,plain,
( e22 = e23
| op2(e22,e20) = e22
| op2(e21,e20) = e22 ),
inference(resolve,[status(thm)],[c_1927,c_3474]) ).
cnf(c_1942,plain,
( op2(e22,e20) = e22
| op2(e21,e20) = e22 ),
inference(resolve,[status(thm)],[c_312,c_3475]) ).
cnf(c_3476,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| h1(e10) = e21 ),
inference(paramod,[status(thm)],[c_508,c_86]) ).
cnf(c_3477,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| h1(e10) = e21 ),
inference(paramod,[status(thm)],[c_1912,c_3476]) ).
cnf(c_3478,plain,
( e21 = e23
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| h1(e10) = e21 ),
inference(copy,[status(thm)],[c_3477]) ).
cnf(c_1943,plain,
( op2(e22,e20) = e21
| op2(e21,e20) = e21
| h1(e10) = e21 ),
inference(resolve,[status(thm)],[c_310,c_3478]) ).
cnf(c_3479,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_508,c_84]) ).
cnf(c_3480,plain,
( e23 = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_1912,c_3479]) ).
cnf(c_3481,plain,
( e20 = e23
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| h1(e10) = e20 ),
inference(copy,[status(thm)],[c_3480]) ).
cnf(c_1944,plain,
( op2(e22,e20) = e20
| op2(e21,e20) = e20
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_306,c_3481]) ).
cnf(c_3482,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_508,c_67]) ).
cnf(c_3483,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| h1(e10) = e21
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_508,c_3482]) ).
cnf(c_3484,plain,
( op2(e20,e20) = e23
| h1(e10) = e22
| h1(e10) = e21
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_508,c_3483]) ).
cnf(c_3485,plain,
( h1(e10) = e23
| h1(e10) = e22
| h1(e10) = e21
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_508,c_3484]) ).
cnf(c_3486,plain,
( h1(e10) = e23
| h1(e10) = e21
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_1927,c_3485]) ).
cnf(c_1945,plain,
( h1(e10) = e21
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_1924,c_3486]) ).
cnf(c_1949,plain,
( h2(e10) != e21
| ~ defn_110 ),
inference(paramod,[status(thm)],[c_515,c_478]) ).
cnf(c_1950,plain,
( h2(e10) != e21
| ~ defn_120 ),
inference(paramod,[status(thm)],[c_515,c_473]) ).
cnf(c_1951,plain,
( h2(e10) != e21
| ~ defn_130 ),
inference(paramod,[status(thm)],[c_515,c_468]) ).
cnf(c_3487,plain,
h2(e10) != op2(e21,e22),
inference(paramod,[status(thm)],[c_515,c_264]) ).
cnf(c_1962,plain,
op2(e21,e22) != h2(e10),
inference(copy,[status(thm)],[c_3487]) ).
cnf(c_3488,plain,
h2(e10) != op2(e23,e21),
inference(paramod,[status(thm)],[c_515,c_222]) ).
cnf(c_1964,plain,
op2(e23,e21) != h2(e10),
inference(copy,[status(thm)],[c_3488]) ).
cnf(c_1971,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| h2(e10) = e21
| op2(e20,e21) = e21 ),
inference(paramod,[status(thm)],[c_515,c_94]) ).
cnf(c_3489,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| h2(e10) = e20
| op2(e20,e21) = e20 ),
inference(paramod,[status(thm)],[c_515,c_92]) ).
cnf(c_1973,plain,
( op2(e22,e21) = e20
| h2(e10) = e20
| op2(e20,e21) = e20 ),
inference(resolve,[status(thm)],[c_1915,c_3489]) ).
cnf(c_1976,plain,
op2(h2(e12),e21) = h2(e11),
inference(paramod,[status(thm)],[c_519,c_517]) ).
cnf(c_1982,plain,
( h3(e10) != e22
| ~ defn_140 ),
inference(paramod,[status(thm)],[c_522,c_462]) ).
cnf(c_3490,plain,
( op2(e22,e23) = e22
| h3(e10) != e23 ),
inference(paramod,[status(thm)],[c_522,c_452]) ).
cnf(c_3491,plain,
( h4(e11) = e22
| h3(e10) != e23 ),
inference(paramod,[status(thm)],[c_531,c_3490]) ).
cnf(c_3492,plain,
( e21 = e22
| h3(e10) != e23 ),
inference(paramod,[status(thm)],[c_1922,c_3491]) ).
cnf(c_1984,plain,
h3(e10) != e23,
inference(resolve,[status(thm)],[c_308,c_3492]) ).
cnf(c_3493,plain,
h3(e10) != op2(e22,e23),
inference(paramod,[status(thm)],[c_522,c_279]) ).
cnf(c_3494,plain,
h3(e10) != h4(e11),
inference(paramod,[status(thm)],[c_531,c_3493]) ).
cnf(c_1988,plain,
h3(e10) != e21,
inference(paramod,[status(thm)],[c_1922,c_3494]) ).
cnf(c_1990,plain,
op2(e22,e20) != h3(e10),
inference(paramod,[status(thm)],[c_522,c_271]) ).
cnf(c_3495,plain,
( op2(e23,e22) = e23
| h3(e10) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 ),
inference(paramod,[status(thm)],[c_522,c_106]) ).
cnf(c_1994,plain,
( op2(e23,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[status(thm)],[c_1984,c_3495]) ).
cnf(c_3496,plain,
( op2(e22,e23) = e23
| h3(e10) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(paramod,[status(thm)],[c_522,c_105]) ).
cnf(c_3497,plain,
( h4(e11) = e23
| h3(e10) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(paramod,[status(thm)],[c_531,c_3496]) ).
cnf(c_3498,plain,
( e21 = e23
| h3(e10) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(paramod,[status(thm)],[c_1922,c_3497]) ).
cnf(c_3499,plain,
( e21 = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[status(thm)],[c_1984,c_3498]) ).
cnf(c_1995,plain,
( op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[status(thm)],[c_310,c_3499]) ).
cnf(c_3500,plain,
( op2(e23,e22) = e21
| h3(e10) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(paramod,[status(thm)],[c_522,c_102]) ).
cnf(c_1998,plain,
( op2(e23,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[status(thm)],[c_1988,c_3500]) ).
cnf(c_3501,plain,
( op2(e23,e22) = e20
| h3(e10) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(paramod,[status(thm)],[c_522,c_100]) ).
cnf(c_1999,plain,
( h3(e10) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[status(thm)],[c_1914,c_3501]) ).
cnf(c_3502,plain,
( op2(e22,e23) = e20
| h3(e10) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(paramod,[status(thm)],[c_522,c_99]) ).
cnf(c_3503,plain,
( h4(e11) = e20
| h3(e10) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(paramod,[status(thm)],[c_531,c_3502]) ).
cnf(c_3504,plain,
( e21 = e20
| h3(e10) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(paramod,[status(thm)],[c_1922,c_3503]) ).
cnf(c_2000,plain,
( h3(e10) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[status(thm)],[c_302,c_3504]) ).
cnf(c_3505,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| h3(e10) = e20 ),
inference(paramod,[status(thm)],[c_522,c_77]) ).
cnf(c_3506,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| h3(e10) = e21
| h3(e10) = e20 ),
inference(paramod,[status(thm)],[c_522,c_3505]) ).
cnf(c_3507,plain,
( op2(e22,e22) = e23
| h3(e10) = e22
| h3(e10) = e21
| h3(e10) = e20 ),
inference(paramod,[status(thm)],[c_522,c_3506]) ).
cnf(c_3508,plain,
( h3(e10) = e23
| h3(e10) = e22
| h3(e10) = e21
| h3(e10) = e20 ),
inference(paramod,[status(thm)],[c_522,c_3507]) ).
cnf(c_3509,plain,
( h3(e10) = e23
| h3(e10) = e22
| h3(e10) = e20 ),
inference(resolve,[status(thm)],[c_1988,c_3508]) ).
cnf(c_2001,plain,
( h3(e10) = e22
| h3(e10) = e20 ),
inference(resolve,[status(thm)],[c_1984,c_3509]) ).
cnf(c_3510,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e21
| op2(e23,e20) = e20
| h4(e11) = e23
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80 ),
inference(paramod,[status(thm)],[c_531,c_418]) ).
cnf(c_3511,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e21
| op2(e23,e20) = e20
| e21 = e23
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80 ),
inference(paramod,[status(thm)],[c_1922,c_3510]) ).
cnf(c_3512,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e21
| e23 = e20
| e21 = e23
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80 ),
inference(paramod,[status(thm)],[c_1912,c_3511]) ).
cnf(c_3513,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e21
| e20 = e23
| e21 = e23
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80 ),
inference(copy,[status(thm)],[c_3512]) ).
cnf(c_3514,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e21
| e20 = e23
| e21 = e23
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_90
| defn_80 ),
inference(resolve,[status(thm)],[c_1923,c_3513]) ).
cnf(c_3515,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e21
| e20 = e23
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_90
| defn_80 ),
inference(resolve,[status(thm)],[c_310,c_3514]) ).
cnf(c_2003,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_90
| defn_80 ),
inference(resolve,[status(thm)],[c_306,c_3515]) ).
cnf(c_3516,plain,
op2(e22,e21) != h4(e11),
inference(paramod,[status(thm)],[c_531,c_277]) ).
cnf(c_2004,plain,
op2(e22,e21) != e21,
inference(paramod,[status(thm)],[c_1922,c_3516]) ).
cnf(c_3517,plain,
op2(e22,e20) != h4(e11),
inference(paramod,[status(thm)],[c_531,c_273]) ).
cnf(c_2005,plain,
op2(e22,e20) != e21,
inference(paramod,[status(thm)],[c_1922,c_3517]) ).
cnf(c_3518,plain,
op2(e21,e23) != h4(e11),
inference(paramod,[status(thm)],[c_531,c_242]) ).
cnf(c_2006,plain,
op2(e21,e23) != e21,
inference(paramod,[status(thm)],[c_1922,c_3518]) ).
cnf(c_3519,plain,
( e13 != e13
| ~ defn_10 ),
inference(paramod,[status(thm)],[c_1889,c_1887]) ).
cnf(c_2007,plain,
~ defn_10,
inference(copy,[status(thm)],[c_3519]) ).
cnf(c_3520,plain,
( e13 != e13
| ~ defn_00 ),
inference(paramod,[status(thm)],[c_1889,c_1886]) ).
cnf(c_2008,plain,
~ defn_00,
inference(copy,[status(thm)],[c_3520]) ).
cnf(c_3521,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_1922,c_1657]) ).
cnf(c_3522,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_1922,c_3521]) ).
cnf(c_3523,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| op2(e21,h4(e11)) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_1922,c_3522]) ).
cnf(c_3524,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| op2(e21,e21) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_1922,c_3523]) ).
cnf(c_3525,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e22)
| h2(e10) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_515,c_3524]) ).
cnf(c_3526,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_1922,c_3525]) ).
cnf(c_3527,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_1922,c_3526]) ).
cnf(c_3528,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| 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)
| h2(e10) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_1922,c_3527]) ).
cnf(c_3529,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(e11) != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| 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)
| h2(e10) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_1899,c_3528]) ).
cnf(c_3530,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| e21 != h4(e11)
| h4(op1(e12,e12)) != h3(e10)
| 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)
| h2(e10) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_1922,c_3529]) ).
cnf(c_3531,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| e21 != e21
| h4(op1(e12,e12)) != h3(e10)
| 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)
| h2(e10) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_1922,c_3530]) ).
cnf(c_3532,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(e13) != op2(e23,e20)
| e21 != e21
| h4(op1(e12,e12)) != h3(e10)
| 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)
| h2(e10) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_1889,c_3531]) ).
cnf(c_3533,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| e23 != op2(e23,e20)
| e21 != e21
| h4(op1(e12,e12)) != h3(e10)
| 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)
| h2(e10) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_527,c_3532]) ).
cnf(c_3534,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| e23 != e23
| e21 != e21
| h4(op1(e12,e12)) != h3(e10)
| 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)
| h2(e10) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_1912,c_3533]) ).
cnf(c_3535,negated_conjecture,
( h4(e11) != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| e23 != e23
| e21 != e21
| h4(op1(e12,e12)) != h3(e10)
| 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)
| h2(e10) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_1922,c_3534]) ).
cnf(c_3536,negated_conjecture,
( e21 != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| e23 != e23
| e21 != e21
| h4(op1(e12,e12)) != h3(e10)
| 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)
| h2(e10) != h4(op1(e11,e11))
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_1922,c_3535]) ).
cnf(c_3537,negated_conjecture,
( e21 != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| e23 != e23
| e21 != e21
| h4(op1(e12,e12)) != h3(e10)
| 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)) != h2(e10)
| 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)) != h1(e10) ),
inference(copy,[status(thm)],[c_3536]) ).
cnf(c_3538,negated_conjecture,
( e21 != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| e23 != e23
| h4(op1(e12,e12)) != h3(e10)
| 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)) != h2(e10)
| 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)) != h1(e10) ),
inference(copy,[status(thm)],[c_3537]) ).
cnf(c_3539,negated_conjecture,
( e21 != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| 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)) != h2(e10)
| 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)) != h1(e10) ),
inference(copy,[status(thm)],[c_3538]) ).
cnf(c_2009,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| 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)) != h2(e10)
| 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)) != h1(e10) ),
inference(copy,[status(thm)],[c_3539]) ).
cnf(c_3540,plain,
( op1(e13,e12) = e12
| op1(e13,e11) = e11
| op1(e13,e10) = e10
| e11 = e13
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_1899,c_340]) ).
cnf(c_3541,plain,
( op1(e13,e12) = e12
| op1(e13,e11) = e11
| e13 = e10
| e11 = e13
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(paramod,[status(thm)],[c_1889,c_3540]) ).
cnf(c_3542,plain,
( op1(e13,e12) = e12
| op1(e13,e11) = e11
| e10 = e13
| e11 = e13
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(copy,[status(thm)],[c_3541]) ).
cnf(c_3543,plain,
( op1(e13,e12) = e12
| op1(e13,e11) = e11
| e10 = e13
| e11 = e13
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_2008,c_3542]) ).
cnf(c_3544,plain,
( op1(e13,e12) = e12
| op1(e13,e11) = e11
| e10 = e13
| e11 = e13
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20 ),
inference(resolve,[status(thm)],[c_2007,c_3543]) ).
cnf(c_3545,plain,
( op1(e13,e12) = e12
| op1(e13,e11) = e11
| e10 = e13
| e11 = e13
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_1900,c_3544]) ).
cnf(c_3546,plain,
( op1(e13,e12) = e12
| op1(e13,e11) = e11
| e10 = e13
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_299,c_3545]) ).
cnf(c_2063,plain,
( op1(e13,e12) = e12
| op1(e13,e11) = e11
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_295,c_3546]) ).
cnf(c_3547,plain,
e13 != op1(e13,e12),
inference(paramod,[status(thm)],[c_1889,c_194]) ).
cnf(c_2064,plain,
op1(e13,e12) != e13,
inference(copy,[status(thm)],[c_3547]) ).
cnf(c_2065,plain,
op1(e13,e11) != e13,
inference(paramod,[status(thm)],[c_1889,c_192]) ).
cnf(c_2066,plain,
op1(e12,e10) != e13,
inference(paramod,[status(thm)],[c_1889,c_125]) ).
cnf(c_2067,plain,
op1(e11,e10) != e13,
inference(paramod,[status(thm)],[c_1889,c_123]) ).
cnf(c_3548,plain,
( e13 = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(paramod,[status(thm)],[c_1889,c_40]) ).
cnf(c_3549,plain,
( e12 = e13
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(copy,[status(thm)],[c_3548]) ).
cnf(c_3550,plain,
( e12 = e13
| op1(e12,e10) = e12
| op1(e11,e10) = e12 ),
inference(resolve,[status(thm)],[c_1904,c_3549]) ).
cnf(c_2068,plain,
( op1(e12,e10) = e12
| op1(e11,e10) = e12 ),
inference(resolve,[status(thm)],[c_301,c_3550]) ).
cnf(c_3551,plain,
( e13 = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(paramod,[status(thm)],[c_1889,c_38]) ).
cnf(c_3552,plain,
( e11 = e13
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(copy,[status(thm)],[c_3551]) ).
cnf(c_2069,plain,
( op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(resolve,[status(thm)],[c_299,c_3552]) ).
cnf(c_2071,plain,
( op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[status(thm)],[c_1891,c_52]) ).
cnf(c_3553,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11 ),
inference(resolve,[status(thm)],[c_1891,c_33]) ).
cnf(c_2072,plain,
( op1(e13,e12) = e12
| op1(e13,e12) = e11 ),
inference(resolve,[status(thm)],[c_2064,c_3553]) ).
cnf(c_2073,plain,
( op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_1892,c_44]) ).
cnf(c_3554,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11 ),
inference(resolve,[status(thm)],[c_1892,c_32]) ).
cnf(c_2074,plain,
( op1(e13,e11) = e12
| op1(e13,e11) = e11 ),
inference(resolve,[status(thm)],[c_2065,c_3554]) ).
cnf(c_3555,plain,
( e11 = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(paramod,[status(thm)],[c_1899,c_51]) ).
cnf(c_2075,plain,
( op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[status(thm)],[c_291,c_3555]) ).
cnf(c_3556,plain,
( e11 = e13
| op1(e11,e13) = e13 ),
inference(paramod,[status(thm)],[c_1899,c_1895]) ).
cnf(c_2078,plain,
op1(e11,e13) = e13,
inference(resolve,[status(thm)],[c_299,c_3556]) ).
cnf(c_3557,plain,
( e11 = e12
| op1(e12,e12) != e13 ),
inference(paramod,[status(thm)],[c_1899,c_374]) ).
cnf(c_2079,plain,
op1(e12,e12) != e13,
inference(resolve,[status(thm)],[c_297,c_3557]) ).
cnf(c_2080,plain,
op1(e12,e12) != e11,
inference(paramod,[status(thm)],[c_1899,c_191]) ).
cnf(c_2082,plain,
op1(e12,e10) != e11,
inference(paramod,[status(thm)],[c_1899,c_185]) ).
cnf(c_3558,plain,
( e11 = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(paramod,[status(thm)],[c_1899,c_57]) ).
cnf(c_3559,plain,
( e11 = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[status(thm)],[c_2066,c_3558]) ).
cnf(c_3560,plain,
( e11 = e13
| op1(e12,e11) = e13 ),
inference(resolve,[status(thm)],[c_2079,c_3559]) ).
cnf(c_2083,plain,
op1(e12,e11) = e13,
inference(resolve,[status(thm)],[c_299,c_3560]) ).
cnf(c_3561,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| e13 = e12
| op1(e12,e10) = e12 ),
inference(paramod,[status(thm)],[c_2083,c_55]) ).
cnf(c_3562,plain,
( e11 = e12
| op1(e12,e12) = e12
| e13 = e12
| op1(e12,e10) = e12 ),
inference(paramod,[status(thm)],[c_1899,c_3561]) ).
cnf(c_3563,plain,
( e11 = e12
| op1(e12,e12) = e12
| e12 = e13
| op1(e12,e10) = e12 ),
inference(copy,[status(thm)],[c_3562]) ).
cnf(c_3564,plain,
( e11 = e12
| op1(e12,e12) = e12
| op1(e12,e10) = e12 ),
inference(resolve,[status(thm)],[c_301,c_3563]) ).
cnf(c_2084,plain,
( op1(e12,e12) = e12
| op1(e12,e10) = e12 ),
inference(resolve,[status(thm)],[c_297,c_3564]) ).
cnf(c_3565,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(resolve,[status(thm)],[c_1904,c_19]) ).
cnf(c_2085,plain,
( op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(resolve,[status(thm)],[c_1901,c_3565]) ).
cnf(c_3566,plain,
( op1(e13,e11) = e12
| e13 = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(paramod,[status(thm)],[c_2083,c_48]) ).
cnf(c_3567,plain,
( op1(e13,e11) = e12
| e12 = e13
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(copy,[status(thm)],[c_3566]) ).
cnf(c_3568,plain,
( op1(e13,e11) = e12
| e12 = e13
| op1(e11,e11) = e12 ),
inference(resolve,[status(thm)],[c_1903,c_3567]) ).
cnf(c_2088,plain,
( op1(e13,e11) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[status(thm)],[c_301,c_3568]) ).
cnf(c_2089,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_1903,c_20]) ).
cnf(c_3569,plain,
( e13 = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(paramod,[status(thm)],[c_2078,c_47]) ).
cnf(c_3570,plain,
( e12 = e13
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(copy,[status(thm)],[c_3569]) ).
cnf(c_2090,plain,
( op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(resolve,[status(thm)],[c_301,c_3570]) ).
cnf(c_3571,plain,
( e23 != e23
| ~ defn_90 ),
inference(paramod,[status(thm)],[c_1912,c_1910]) ).
cnf(c_2091,plain,
~ defn_90,
inference(copy,[status(thm)],[c_3571]) ).
cnf(c_3572,plain,
( e23 != e23
| ~ defn_80 ),
inference(paramod,[status(thm)],[c_1912,c_1909]) ).
cnf(c_2092,plain,
~ defn_80,
inference(copy,[status(thm)],[c_3572]) ).
cnf(c_3573,plain,
e23 != op2(e23,e22),
inference(paramod,[status(thm)],[c_1912,c_282]) ).
cnf(c_2093,plain,
op2(e23,e22) != e23,
inference(copy,[status(thm)],[c_3573]) ).
cnf(c_2094,plain,
op2(e23,e21) != e23,
inference(paramod,[status(thm)],[c_1912,c_280]) ).
cnf(c_2095,plain,
op2(e22,e20) != e23,
inference(paramod,[status(thm)],[c_1912,c_213]) ).
cnf(c_3574,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21 ),
inference(resolve,[status(thm)],[c_1915,c_80]) ).
cnf(c_2098,plain,
( op2(e23,e21) = e22
| op2(e23,e21) = e21 ),
inference(resolve,[status(thm)],[c_2094,c_3574]) ).
cnf(c_3575,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21 ),
inference(resolve,[status(thm)],[c_1917,c_74]) ).
cnf(c_3576,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22 ),
inference(resolve,[status(thm)],[c_2006,c_3575]) ).
cnf(c_2099,plain,
op2(e21,e23) = e23,
inference(resolve,[status(thm)],[c_1928,c_3576]) ).
cnf(c_2102,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(resolve,[status(thm)],[c_1926,c_68]) ).
cnf(c_2103,plain,
( op2(e23,e21) = e21
| h2(e10) = e21
| op2(e20,e21) = e21 ),
inference(resolve,[status(thm)],[c_2004,c_1971]) ).
cnf(c_2104,plain,
~ defn_150,
inference(resolve,[status(thm)],[c_2004,c_460]) ).
cnf(c_2106,plain,
( op2(e21,e20) = e21
| h1(e10) = e21 ),
inference(resolve,[status(thm)],[c_2005,c_1943]) ).
cnf(c_3577,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e20 ),
inference(resolve,[status(thm)],[c_2005,c_75]) ).
cnf(c_2107,plain,
( op2(e22,e20) = e22
| op2(e22,e20) = e20 ),
inference(resolve,[status(thm)],[c_2095,c_3577]) ).
cnf(c_3578,plain,
( op1(e13,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(resolve,[status(thm)],[c_2079,c_58]) ).
cnf(c_2110,plain,
( op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(resolve,[status(thm)],[c_2064,c_3578]) ).
cnf(c_2112,plain,
( op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(resolve,[status(thm)],[c_2067,c_23]) ).
cnf(c_3579,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(e13) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_2078,c_2009]) ).
cnf(c_3580,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e23 != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_527,c_3579]) ).
cnf(c_3581,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e23 != e23
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_2099,c_3580]) ).
cnf(c_3582,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(e13) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e23 != e23
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_2083,c_3581]) ).
cnf(c_3583,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| e23 != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e23 != e23
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| 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)) != h1(e10) ),
inference(paramod,[status(thm)],[c_527,c_3582]) ).
cnf(c_3584,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| op2(e22,e21) != e23
| h4(op1(e12,e10)) != op2(e22,e20)
| e23 != e23
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| 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)) != h1(e10) ),
inference(copy,[status(thm)],[c_3583]) ).
cnf(c_2155,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| op2(e22,e21) != e23
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| 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)) != h1(e10) ),
inference(copy,[status(thm)],[c_3584]) ).
cnf(c_2157,plain,
op1(e11,e12) != e13,
inference(paramod,[status(thm)],[c_2078,c_180]) ).
cnf(c_3585,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e10 ),
inference(resolve,[status(thm)],[c_2080,c_29]) ).
cnf(c_2159,plain,
( op1(e12,e12) = e12
| op1(e12,e12) = e10 ),
inference(resolve,[status(thm)],[c_2079,c_3585]) ).
cnf(c_3586,plain,
( e13 = e11
| ~ defn_70 ),
inference(paramod,[status(thm)],[c_2083,c_382]) ).
cnf(c_3587,plain,
( e11 = e13
| ~ defn_70 ),
inference(copy,[status(thm)],[c_3586]) ).
cnf(c_2161,plain,
~ defn_70,
inference(resolve,[status(thm)],[c_299,c_3587]) ).
cnf(c_2163,plain,
( op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(resolve,[status(thm)],[c_2082,c_2069]) ).
cnf(c_3588,plain,
( op1(e12,e12) = e10
| e13 = e10
| op1(e12,e10) = e10 ),
inference(paramod,[status(thm)],[c_2083,c_2075]) ).
cnf(c_3589,plain,
( op1(e12,e12) = e10
| e10 = e13
| op1(e12,e10) = e10 ),
inference(copy,[status(thm)],[c_3588]) ).
cnf(c_2164,plain,
( op1(e12,e12) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[status(thm)],[c_295,c_3589]) ).
cnf(c_3590,plain,
( e13 = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_2083,c_2073]) ).
cnf(c_3591,plain,
( e10 = e13
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3590]) ).
cnf(c_2165,plain,
( op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_295,c_3591]) ).
cnf(c_2166,plain,
op1(e10,e11) != e13,
inference(paramod,[status(thm)],[c_2083,c_128]) ).
cnf(c_3592,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_90 ),
inference(resolve,[status(thm)],[c_2092,c_2003]) ).
cnf(c_3593,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(resolve,[status(thm)],[c_2091,c_3592]) ).
cnf(c_2167,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(resolve,[status(thm)],[c_2104,c_3593]) ).
cnf(c_2168,plain,
( op2(e21,e22) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[status(thm)],[c_2093,c_1994]) ).
cnf(c_2170,plain,
op2(e22,e21) = e23,
inference(resolve,[status(thm)],[c_2095,c_1995]) ).
cnf(c_2172,plain,
op2(e21,e22) != e23,
inference(paramod,[status(thm)],[c_2099,c_268]) ).
cnf(c_2175,plain,
op1(e10,e12) = e13,
inference(resolve,[status(thm)],[c_2157,c_2110]) ).
cnf(c_2177,plain,
( op1(e13,e12) = e12
| op1(e13,e11) = e11
| defn_60
| defn_50
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_2161,c_2063]) ).
cnf(c_2178,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_2166,c_2089]) ).
cnf(c_3594,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| op2(e22,e21) != e23
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(e13) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_2175,c_2155]) ).
cnf(c_3595,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| op2(e22,e21) != e23
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_527,c_3594]) ).
cnf(c_3596,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| e23 != e23
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_2170,c_3595]) ).
cnf(c_3597,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| e23 != e23
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e23
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10) ),
inference(copy,[status(thm)],[c_3596]) ).
cnf(c_2179,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| h4(op1(e11,e10)) != op2(e21,e20)
| op2(e20,e22) != e23
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10) ),
inference(copy,[status(thm)],[c_3597]) ).
cnf(c_3598,plain,
( h3(e10) = e20
| e23 = e20
| op2(e22,e20) = e20 ),
inference(paramod,[status(thm)],[c_2170,c_2000]) ).
cnf(c_3599,plain,
( h3(e10) = e20
| e20 = e23
| op2(e22,e20) = e20 ),
inference(copy,[status(thm)],[c_3598]) ).
cnf(c_2180,plain,
( h3(e10) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[status(thm)],[c_306,c_3599]) ).
cnf(c_3600,plain,
( e23 = e20
| h2(e10) = e20
| op2(e20,e21) = e20 ),
inference(paramod,[status(thm)],[c_2170,c_1973]) ).
cnf(c_3601,plain,
( e20 = e23
| h2(e10) = e20
| op2(e20,e21) = e20 ),
inference(copy,[status(thm)],[c_3600]) ).
cnf(c_2182,plain,
( h2(e10) = e20
| op2(e20,e21) = e20 ),
inference(resolve,[status(thm)],[c_306,c_3601]) ).
cnf(c_2184,plain,
op2(e20,e21) != e23,
inference(paramod,[status(thm)],[c_2170,c_216]) ).
cnf(c_2185,plain,
op2(e20,e22) = e23,
inference(resolve,[status(thm)],[c_2172,c_2168]) ).
cnf(c_2186,plain,
( op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(resolve,[status(thm)],[c_2172,c_73]) ).
cnf(c_3602,plain,
( op1(e12,e12) = e10
| op1(e11,e12) = e10
| e13 = e10 ),
inference(paramod,[status(thm)],[c_2175,c_2071]) ).
cnf(c_3603,plain,
( op1(e12,e12) = e10
| op1(e11,e12) = e10
| e10 = e13 ),
inference(copy,[status(thm)],[c_3602]) ).
cnf(c_2230,plain,
( op1(e12,e12) = e10
| op1(e11,e12) = e10 ),
inference(resolve,[status(thm)],[c_295,c_3603]) ).
cnf(c_3604,plain,
( e13 = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(paramod,[status(thm)],[c_2175,c_1908]) ).
cnf(c_3605,plain,
( e10 = e13
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(copy,[status(thm)],[c_3604]) ).
cnf(c_2231,plain,
( op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(resolve,[status(thm)],[c_295,c_3605]) ).
cnf(c_3606,plain,
( e13 = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(paramod,[status(thm)],[c_2175,c_1907]) ).
cnf(c_3607,plain,
( e11 = e13
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(copy,[status(thm)],[c_3606]) ).
cnf(c_2232,plain,
( op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(resolve,[status(thm)],[c_299,c_3607]) ).
cnf(c_2233,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(resolve,[status(thm)],[c_2184,c_2102]) ).
cnf(c_3608,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != e23
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10) ),
inference(paramod,[status(thm)],[c_2185,c_2179]) ).
cnf(c_2234,negated_conjecture,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10) ),
inference(copy,[status(thm)],[c_3608]) ).
cnf(c_3609,plain,
( h3(e10) = e20
| op2(e21,e22) = e20
| e23 = e20 ),
inference(paramod,[status(thm)],[c_2185,c_1999]) ).
cnf(c_3610,plain,
( h3(e10) = e20
| op2(e21,e22) = e20
| e20 = e23 ),
inference(copy,[status(thm)],[c_3609]) ).
cnf(c_2235,plain,
( h3(e10) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[status(thm)],[c_306,c_3610]) ).
cnf(c_3611,plain,
( op2(e23,e22) = e21
| op2(e21,e22) = e21
| e23 = e21 ),
inference(paramod,[status(thm)],[c_2185,c_1998]) ).
cnf(c_3612,plain,
( op2(e23,e22) = e21
| op2(e21,e22) = e21
| e21 = e23 ),
inference(copy,[status(thm)],[c_3611]) ).
cnf(c_2236,plain,
( op2(e23,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[status(thm)],[c_310,c_3612]) ).
cnf(c_3613,plain,
( e23 = e20
| op2(e20,e21) = e20
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_2185,c_1931]) ).
cnf(c_3614,plain,
( e20 = e23
| op2(e20,e21) = e20
| h1(e10) = e20 ),
inference(copy,[status(thm)],[c_3613]) ).
cnf(c_2237,plain,
( op2(e20,e21) = e20
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_306,c_3614]) ).
cnf(c_3615,plain,
( e23 = e21
| op2(e20,e21) = e21
| h1(e10) = e21 ),
inference(paramod,[status(thm)],[c_2185,c_1930]) ).
cnf(c_3616,plain,
( e21 = e23
| op2(e20,e21) = e21
| h1(e10) = e21 ),
inference(copy,[status(thm)],[c_3615]) ).
cnf(c_2238,plain,
( op2(e20,e21) = e21
| h1(e10) = e21 ),
inference(resolve,[status(thm)],[c_310,c_3616]) ).
cnf(c_2247,plain,
( op2(e20,e21) != e21
| op2(e23,e22) = e21 ),
inference(paramod,[status(thm)],[c_1921,c_218]) ).
cnf(c_2250,plain,
( op2(e21,e20) = h1(e12)
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_1945,c_512]) ).
cnf(c_3617,plain,
( op2(e20,e22) = h3(e12)
| h3(e10) = e22 ),
inference(paramod,[status(thm)],[c_2001,c_526]) ).
cnf(c_3618,plain,
( e23 = h3(e12)
| h3(e10) = e22 ),
inference(paramod,[status(thm)],[c_2185,c_3617]) ).
cnf(c_2267,plain,
( h3(e12) = e23
| h3(e10) = e22 ),
inference(copy,[status(thm)],[c_3618]) ).
cnf(c_2268,plain,
( op2(e22,e20) != e20
| h3(e10) = e22 ),
inference(paramod,[status(thm)],[c_2001,c_1990]) ).
cnf(c_2270,plain,
( op1(e11,e11) != e12
| op1(e12,e10) = e12 ),
inference(paramod,[status(thm)],[c_2068,c_170]) ).
cnf(c_2274,plain,
( op1(e11,e12) != e11
| op1(e13,e12) = e12 ),
inference(paramod,[status(thm)],[c_2072,c_145]) ).
cnf(c_2276,plain,
( op1(e10,e11) != e11
| op1(e13,e11) = e12 ),
inference(paramod,[status(thm)],[c_2074,c_130]) ).
cnf(c_3619,plain,
( op1(e12,e12) = e12
| e12 = e11
| op1(e10,e10) = e10
| op1(e13,e11) = e12 ),
inference(paramod,[status(thm)],[c_2088,c_1890]) ).
cnf(c_3620,plain,
( op1(e12,e12) = e12
| e11 = e12
| op1(e10,e10) = e10
| op1(e13,e11) = e12 ),
inference(copy,[status(thm)],[c_3619]) ).
cnf(c_2288,plain,
( op1(e12,e12) = e12
| op1(e10,e10) = e10
| op1(e13,e11) = e12 ),
inference(resolve,[status(thm)],[c_297,c_3620]) ).
cnf(c_2290,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e10) = e12 ),
inference(resolve,[status(thm)],[c_2090,c_370]) ).
cnf(c_2296,plain,
( op2(e20,e21) != e21
| op2(e23,e21) = e22 ),
inference(paramod,[status(thm)],[c_2098,c_218]) ).
cnf(c_3621,plain,
( e21 != h2(e10)
| op2(e23,e21) = e22 ),
inference(paramod,[status(thm)],[c_2098,c_1964]) ).
cnf(c_2298,plain,
( h2(e10) != e21
| op2(e23,e21) = e22 ),
inference(copy,[status(thm)],[c_3621]) ).
cnf(c_3622,plain,
( e21 != op2(e21,e22)
| h1(e10) = e21 ),
inference(paramod,[status(thm)],[c_2106,c_260]) ).
cnf(c_2300,plain,
( op2(e21,e22) != e21
| h1(e10) = e21 ),
inference(copy,[status(thm)],[c_3622]) ).
cnf(c_3623,plain,
( e20 != h1(e10)
| op2(e22,e20) = e22 ),
inference(paramod,[status(thm)],[c_2107,c_1940]) ).
cnf(c_2306,plain,
( h1(e10) != e20
| op2(e22,e20) = e22 ),
inference(copy,[status(thm)],[c_3623]) ).
cnf(c_2320,plain,
( op1(e12,e10) != e10
| op1(e12,e12) = e12 ),
inference(paramod,[status(thm)],[c_2159,c_183]) ).
cnf(c_2329,plain,
( op1(e11,e10) != e10
| op1(e12,e12) = e10 ),
inference(paramod,[status(thm)],[c_2164,c_121]) ).
cnf(c_2330,plain,
( op1(e11,e10) = e11
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_2165,c_369]) ).
cnf(c_3624,plain,
( e10 != op1(e11,e12)
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_2165,c_176]) ).
cnf(c_2332,plain,
( op1(e11,e12) != e10
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3624]) ).
cnf(c_2336,plain,
( op2(e22,e20) = e20
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_130
| defn_120
| defn_110 ),
inference(resolve,[status(thm)],[c_2167,c_465]) ).
cnf(c_2353,plain,
( op1(e12,e10) = e10
| op1(e13,e12) = e12
| op1(e13,e11) = e11
| defn_50
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_2177,c_387]) ).
cnf(c_2354,plain,
( op1(e12,e12) != e12
| op1(e13,e12) = e12
| op1(e13,e11) = e11
| defn_50
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_2177,c_384]) ).
cnf(c_3625,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(e10) != h2(e10)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_2165,c_2234]) ).
cnf(c_3626,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| e20 != h2(e10)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_529,c_3625]) ).
cnf(c_2381,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != e20
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3626]) ).
cnf(c_3627,plain,
( e20 != h2(e10)
| h3(e10) = e20 ),
inference(paramod,[status(thm)],[c_2235,c_1962]) ).
cnf(c_2384,plain,
( h2(e10) != e20
| h3(e10) = e20 ),
inference(copy,[status(thm)],[c_3627]) ).
cnf(c_3628,plain,
( h3(e10) = e20
| e21 = e20
| op2(e23,e22) = e21 ),
inference(paramod,[status(thm)],[c_2236,c_2235]) ).
cnf(c_2386,plain,
( h3(e10) = e20
| op2(e23,e22) = e21 ),
inference(resolve,[status(thm)],[c_302,c_3628]) ).
cnf(c_3629,plain,
( op2(e23,e21) = e21
| h2(e10) = e21
| e20 = e21
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_2237,c_2103]) ).
cnf(c_3630,plain,
( op2(e23,e21) = e21
| h2(e10) = e21
| e21 = e20
| h1(e10) = e20 ),
inference(copy,[status(thm)],[c_3629]) ).
cnf(c_2388,plain,
( op2(e23,e21) = e21
| h2(e10) = e21
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_302,c_3630]) ).
cnf(c_3631,plain,
( h2(e10) = e20
| e21 = e20
| h1(e10) = e21 ),
inference(paramod,[status(thm)],[c_2238,c_2182]) ).
cnf(c_2390,plain,
( h2(e10) = e20
| h1(e10) = e21 ),
inference(resolve,[status(thm)],[c_302,c_3631]) ).
cnf(c_3632,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_130
| defn_120
| defn_110
| h3(e10) != e22 ),
inference(resolve,[status(thm)],[c_1982,c_2167]) ).
cnf(c_2392,plain,
( h3(e12) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_130
| defn_120
| defn_110 ),
inference(resolve,[status(thm)],[c_3632,c_2267]) ).
cnf(c_2398,plain,
( h3(e10) = e20
| h1(e10) = e21 ),
inference(resolve,[status(thm)],[c_2390,c_2384]) ).
cnf(c_2399,plain,
( op2(e20,e21) = h2(e12)
| h1(e10) = e21 ),
inference(paramod,[status(thm)],[c_2390,c_519]) ).
cnf(c_2400,plain,
( op2(e21,e22) != e20
| h1(e10) = e21 ),
inference(paramod,[status(thm)],[c_2390,c_1962]) ).
cnf(c_2411,plain,
( op2(e21,e22) = e22
| op2(e21,e22) = e20
| h1(e10) = e21 ),
inference(resolve,[status(thm)],[c_2300,c_2186]) ).
cnf(c_2421,plain,
( op2(e23,e21) != e21
| h3(e10) = e20 ),
inference(paramod,[status(thm)],[c_2386,c_286]) ).
cnf(c_2440,plain,
( op2(e20,e21) = e20
| op2(e23,e22) = e21 ),
inference(resolve,[status(thm)],[c_2247,c_2233]) ).
cnf(c_2451,plain,
( op2(e22,e20) = e22
| h1(e12) = e22
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_2250,c_1942]) ).
cnf(c_3633,plain,
( op2(e22,e20) = e20
| h1(e12) = e20
| h1(e10) = e20
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_2250,c_1944]) ).
cnf(c_2452,plain,
( op2(e22,e20) = e20
| h1(e12) = e20
| h1(e10) = e20 ),
inference(copy,[status(thm)],[c_3633]) ).
cnf(c_2460,plain,
( op1(e13,e11) = e12
| op1(e12,e10) = e12 ),
inference(resolve,[status(thm)],[c_2270,c_2088]) ).
cnf(c_2465,plain,
( op1(e10,e10) = e11
| op1(e13,e11) = e12 ),
inference(resolve,[status(thm)],[c_2276,c_2232]) ).
cnf(c_2471,plain,
( op2(e20,e21) = e20
| op2(e23,e21) = e22 ),
inference(resolve,[status(thm)],[c_2296,c_2233]) ).
cnf(c_2479,plain,
( op1(e12,e12) = e10
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_2332,c_2230]) ).
cnf(c_3634,plain,
( h2(e12) = e21
| h1(e10) = e21
| h1(e10) = e21 ),
inference(paramod,[status(thm)],[c_2399,c_2238]) ).
cnf(c_2496,plain,
( h2(e12) = e21
| h1(e10) = e21 ),
inference(copy,[status(thm)],[c_3634]) ).
cnf(c_3635,plain,
( op2(e21,e21) = h2(e11)
| h1(e10) = e21 ),
inference(paramod,[status(thm)],[c_2496,c_1976]) ).
cnf(c_3636,plain,
( h2(e10) = h2(e11)
| h1(e10) = e21 ),
inference(paramod,[status(thm)],[c_515,c_3635]) ).
cnf(c_2498,plain,
( h2(e11) = h2(e10)
| h1(e10) = e21 ),
inference(copy,[status(thm)],[c_3636]) ).
cnf(c_3637,plain,
( h2(e11) = e20
| h1(e10) = e21
| h1(e10) = e21 ),
inference(paramod,[status(thm)],[c_2390,c_2498]) ).
cnf(c_2504,plain,
( h2(e11) = e20
| h1(e10) = e21 ),
inference(copy,[status(thm)],[c_3637]) ).
cnf(c_3638,plain,
( e20 != h1(e10)
| op2(e23,e22) = e21 ),
inference(paramod,[status(thm)],[c_2440,c_1939]) ).
cnf(c_2521,plain,
( h1(e10) != e20
| op2(e23,e22) = e21 ),
inference(copy,[status(thm)],[c_3638]) ).
cnf(c_3639,plain,
( e12 != op1(e12,e12)
| op1(e13,e11) = e12 ),
inference(paramod,[status(thm)],[c_2460,c_183]) ).
cnf(c_2525,plain,
( op1(e12,e12) != e12
| op1(e13,e11) = e12 ),
inference(copy,[status(thm)],[c_3639]) ).
cnf(c_3640,plain,
( op1(e12,e12) = e12
| e11 = e10
| op1(e13,e11) = e12
| op1(e13,e11) = e12 ),
inference(paramod,[status(thm)],[c_2465,c_2288]) ).
cnf(c_3641,plain,
( op1(e12,e12) = e12
| e11 = e10
| op1(e13,e11) = e12 ),
inference(copy,[status(thm)],[c_3640]) ).
cnf(c_2526,plain,
( op1(e12,e12) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[status(thm)],[c_291,c_3641]) ).
cnf(c_3642,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(paramod,[status(thm)],[c_2290,c_2163]) ).
cnf(c_3643,plain,
( e11 = e12
| op1(e10,e10) = e11
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(copy,[status(thm)],[c_3642]) ).
cnf(c_2531,plain,
( op1(e10,e10) = e11
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[status(thm)],[c_297,c_3643]) ).
cnf(c_3644,plain,
( e12 = e11
| op1(e10,e11) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(paramod,[status(thm)],[c_2290,c_2330]) ).
cnf(c_3645,plain,
( e11 = e12
| op1(e10,e11) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(copy,[status(thm)],[c_3644]) ).
cnf(c_2532,plain,
( op1(e10,e11) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[status(thm)],[c_297,c_3645]) ).
cnf(c_3646,plain,
( e20 != h1(e10)
| op2(e23,e21) = e22 ),
inference(paramod,[status(thm)],[c_2471,c_1939]) ).
cnf(c_2535,plain,
( h1(e10) != e20
| op2(e23,e21) = e22 ),
inference(copy,[status(thm)],[c_3646]) ).
cnf(c_3647,plain,
( e10 = e11
| op1(e10,e10) = e11
| op1(e12,e12) = e10 ),
inference(paramod,[status(thm)],[c_2479,c_2232]) ).
cnf(c_3648,plain,
( e11 = e10
| op1(e10,e10) = e11
| op1(e12,e12) = e10 ),
inference(copy,[status(thm)],[c_3647]) ).
cnf(c_2539,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e10 ),
inference(resolve,[status(thm)],[c_291,c_3648]) ).
cnf(c_3649,plain,
( op1(e13,e11) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[status(thm)],[c_2526,c_2525]) ).
cnf(c_2546,plain,
op1(e13,e11) = e12,
inference(copy,[status(thm)],[c_3649]) ).
cnf(c_3650,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(e12) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != e20
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_2546,c_2381]) ).
cnf(c_3651,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| e22 != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != e20
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_533,c_3650]) ).
cnf(c_2550,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != e20
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3651]) ).
cnf(c_3652,plain,
( op1(e12,e12) != e12
| op1(e13,e12) = e12
| e12 = e11
| defn_50
| defn_40
| defn_30 ),
inference(paramod,[status(thm)],[c_2546,c_2354]) ).
cnf(c_3653,plain,
( op1(e12,e12) != e12
| op1(e13,e12) = e12
| e11 = e12
| defn_50
| defn_40
| defn_30 ),
inference(copy,[status(thm)],[c_3652]) ).
cnf(c_2556,plain,
( op1(e12,e12) != e12
| op1(e13,e12) = e12
| defn_50
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_297,c_3653]) ).
cnf(c_3654,plain,
( op1(e12,e10) = e10
| op1(e13,e12) = e12
| e12 = e11
| defn_50
| defn_40
| defn_30 ),
inference(paramod,[status(thm)],[c_2546,c_2353]) ).
cnf(c_3655,plain,
( op1(e12,e10) = e10
| op1(e13,e12) = e12
| e11 = e12
| defn_50
| defn_40
| defn_30 ),
inference(copy,[status(thm)],[c_3654]) ).
cnf(c_2557,plain,
( op1(e12,e10) = e10
| op1(e13,e12) = e12
| defn_50
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_297,c_3655]) ).
cnf(c_3656,plain,
( op1(e13,e12) = e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_2546,c_1898]) ).
cnf(c_3657,plain,
( op1(e13,e12) = e11
| e11 = e12 ),
inference(copy,[status(thm)],[c_3656]) ).
cnf(c_2566,plain,
op1(e13,e12) = e11,
inference(resolve,[status(thm)],[c_297,c_3657]) ).
cnf(c_3658,plain,
( op1(e12,e10) = e10
| e11 = e12
| defn_50
| defn_40
| defn_30 ),
inference(paramod,[status(thm)],[c_2566,c_2557]) ).
cnf(c_2570,plain,
( op1(e12,e10) = e10
| defn_50
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_297,c_3658]) ).
cnf(c_3659,plain,
( op1(e12,e12) != e12
| e11 = e12
| defn_50
| defn_40
| defn_30 ),
inference(paramod,[status(thm)],[c_2566,c_2556]) ).
cnf(c_2571,plain,
( op1(e12,e12) != e12
| defn_50
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_297,c_3659]) ).
cnf(c_3660,plain,
( h4(e11) != op2(e23,e22)
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != e20
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_2566,c_2550]) ).
cnf(c_3661,plain,
( e21 != op2(e23,e22)
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != e20
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_1922,c_3660]) ).
cnf(c_2576,plain,
( op2(e23,e22) != e21
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != e20
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3661]) ).
cnf(c_3662,plain,
( op1(e11,e12) != e11
| e11 = e12 ),
inference(paramod,[status(thm)],[c_2566,c_2274]) ).
cnf(c_2581,plain,
op1(e11,e12) != e11,
inference(resolve,[status(thm)],[c_297,c_3662]) ).
cnf(c_2588,plain,
( op1(e10,e11) = e10
| op1(e11,e12) = e12 ),
inference(resolve,[status(thm)],[c_2581,c_2532]) ).
cnf(c_2589,plain,
( op1(e10,e10) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[status(thm)],[c_2581,c_2531]) ).
cnf(c_3663,plain,
( op1(e12,e10) = e10
| defn_40
| defn_30
| op1(e10,e11) != e10
| op1(e10,e10) != e11 ),
inference(resolve,[status(thm)],[c_391,c_2570]) ).
cnf(c_3664,plain,
( op1(e10,e10) = e10
| op1(e12,e10) = e10
| defn_40
| defn_30
| op1(e10,e11) != e10 ),
inference(resolve,[status(thm)],[c_3663,c_2085]) ).
cnf(c_3665,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e10
| op1(e12,e10) = e10
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_3664,c_2231]) ).
cnf(c_2596,plain,
( op1(e10,e10) = e10
| op1(e12,e10) = e10
| defn_40
| defn_30 ),
inference(copy,[status(thm)],[c_3665]) ).
cnf(c_2597,plain,
( op1(e11,e10) != e11
| op1(e12,e12) = e10 ),
inference(paramod,[status(thm)],[c_2539,c_115]) ).
cnf(c_3666,plain,
( e12 != op1(e12,e12)
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_2588,c_143]) ).
cnf(c_2610,plain,
( op1(e12,e12) != e12
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3666]) ).
cnf(c_3667,plain,
( e12 != op1(e12,e12)
| op1(e10,e10) = e11 ),
inference(paramod,[status(thm)],[c_2589,c_143]) ).
cnf(c_2612,plain,
( op1(e12,e12) != e12
| op1(e10,e10) = e11 ),
inference(copy,[status(thm)],[c_3667]) ).
cnf(c_2621,plain,
( op1(e11,e10) = e12
| op1(e11,e10) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[status(thm)],[c_2597,c_2112]) ).
cnf(c_3668,plain,
( op1(e10,e10) = e10
| op1(e12,e10) = e10
| defn_30
| op1(e10,e11) != e10
| op1(e10,e10) != e11 ),
inference(resolve,[status(thm)],[c_396,c_2596]) ).
cnf(c_3669,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e10
| op1(e12,e10) = e10
| defn_30
| op1(e10,e11) != e10 ),
inference(resolve,[status(thm)],[c_3668,c_2085]) ).
cnf(c_3670,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e10
| op1(e10,e10) = e10
| op1(e12,e10) = e10
| defn_30 ),
inference(resolve,[status(thm)],[c_3669,c_2231]) ).
cnf(c_3671,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e10
| op1(e12,e10) = e10
| defn_30 ),
inference(copy,[status(thm)],[c_3670]) ).
cnf(c_2630,plain,
( op1(e10,e10) = e10
| op1(e12,e10) = e10
| defn_30 ),
inference(copy,[status(thm)],[c_3671]) ).
cnf(c_3672,plain,
( op1(e10,e10) = e10
| op1(e12,e10) = e10
| op1(e10,e11) != e10
| op1(e10,e10) != e11 ),
inference(resolve,[status(thm)],[c_401,c_2630]) ).
cnf(c_3673,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e10
| op1(e12,e10) = e10
| op1(e10,e11) != e10 ),
inference(resolve,[status(thm)],[c_3672,c_2085]) ).
cnf(c_3674,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e10
| op1(e10,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[status(thm)],[c_3673,c_2231]) ).
cnf(c_3675,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e10
| op1(e12,e10) = e10 ),
inference(copy,[status(thm)],[c_3674]) ).
cnf(c_2633,plain,
( op1(e10,e10) = e10
| op1(e12,e10) = e10 ),
inference(copy,[status(thm)],[c_3675]) ).
cnf(c_2635,plain,
( op1(e10,e11) != e10
| op1(e12,e10) = e10 ),
inference(paramod,[status(thm)],[c_2633,c_159]) ).
cnf(c_3676,plain,
( op2(e22,e20) = e20
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_120
| defn_110
| op2(e20,e21) != e20
| h1(e10) != e21 ),
inference(resolve,[status(thm)],[c_1936,c_2336]) ).
cnf(c_3677,plain,
( h1(e10) = e20
| op2(e22,e20) = e20
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_120
| defn_110
| op2(e20,e21) != e20 ),
inference(resolve,[status(thm)],[c_3676,c_1945]) ).
cnf(c_3678,plain,
( h1(e10) = e20
| h1(e10) = e20
| op2(e22,e20) = e20
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_120
| defn_110 ),
inference(resolve,[status(thm)],[c_3677,c_2237]) ).
cnf(c_2674,plain,
( h1(e10) = e20
| op2(e22,e20) = e20
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_120
| defn_110 ),
inference(copy,[status(thm)],[c_3678]) ).
cnf(c_2728,plain,
( h3(e10) = e20
| h2(e10) = e21
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_2388,c_2421]) ).
cnf(c_3679,plain,
( e20 = e22
| h2(e10) = e21
| h1(e10) = e20
| h2(e10) = e21
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_2728,c_1913]) ).
cnf(c_3680,plain,
( e20 = e22
| h2(e10) = e21
| h2(e10) = e21
| h1(e10) = e20 ),
inference(copy,[status(thm)],[c_3679]) ).
cnf(c_3681,plain,
( e20 = e22
| h2(e10) = e21
| h1(e10) = e20 ),
inference(copy,[status(thm)],[c_3680]) ).
cnf(c_2734,plain,
( h2(e10) = e21
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_304,c_3681]) ).
cnf(c_2735,plain,
( op2(e23,e21) = e22
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_2734,c_2298]) ).
cnf(c_2739,plain,
( op2(e23,e21) != e21
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_2734,c_1964]) ).
cnf(c_3682,plain,
( e22 != op2(e23,e22)
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_2735,c_286]) ).
cnf(c_2742,plain,
( op2(e23,e22) != e22
| h1(e10) = e20 ),
inference(copy,[status(thm)],[c_3682]) ).
cnf(c_3683,plain,
( h3(e10) = e20
| e22 = e20
| h1(e12) = e22
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_2451,c_2180]) ).
cnf(c_3684,plain,
( h3(e10) = e20
| e20 = e22
| h1(e12) = e22
| h1(e10) = e20 ),
inference(copy,[status(thm)],[c_3683]) ).
cnf(c_2765,plain,
( h3(e10) = e20
| h1(e12) = e22
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_304,c_3684]) ).
cnf(c_3685,plain,
( h3(e12) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_120
| defn_110
| h2(e10) != e21 ),
inference(resolve,[status(thm)],[c_1951,c_2392]) ).
cnf(c_2768,plain,
( h1(e10) = e20
| h3(e12) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_120
| defn_110 ),
inference(resolve,[status(thm)],[c_3685,c_2734]) ).
cnf(c_2771,plain,
( op2(e22,e20) != e20
| h1(e12) = e22
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_2765,c_1990]) ).
cnf(c_2773,plain,
( h3(e10) = e22
| h1(e12) = e20
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_2452,c_2268]) ).
cnf(c_3686,plain,
( op2(e22,e22) = h3(e12)
| h1(e12) = e20
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_2773,c_526]) ).
cnf(c_2779,plain,
( h3(e10) = h3(e12)
| h1(e12) = e20
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_522,c_3686]) ).
cnf(c_3687,plain,
( h1(e10) = e21
| op2(e21,e22) = e22
| h1(e10) = e21 ),
inference(resolve,[status(thm)],[c_2411,c_2400]) ).
cnf(c_2805,plain,
( op2(e21,e22) = e22
| h1(e10) = e21 ),
inference(copy,[status(thm)],[c_3687]) ).
cnf(c_2847,plain,
( h3(e12) != e23
| h1(e12) = e20
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_2779,c_1984]) ).
cnf(c_3688,plain,
( op2(e23,e22) != e21
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != e20
| h4(e11) != op2(e21,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| op1(e10,e11) = e10
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_2330,c_2576]) ).
cnf(c_3689,plain,
( op2(e23,e22) != e21
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != e20
| e21 != op2(e21,e20)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| op1(e10,e11) = e10
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_1922,c_3688]) ).
cnf(c_3690,plain,
( op2(e23,e22) != e21
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != e20
| op2(e21,e20) != e21
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| op1(e10,e11) = e10
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3689]) ).
cnf(c_3007,plain,
( op2(e23,e22) != e21
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != e20
| op2(e21,e20) != e21
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3690]) ).
cnf(c_3691,plain,
( op1(e12,e12) = e10
| op1(e11,e10) = e12
| op1(e12,e12) = e10 ),
inference(resolve,[status(thm)],[c_2621,c_2329]) ).
cnf(c_3098,plain,
( op1(e11,e10) = e12
| op1(e12,e12) = e10 ),
inference(copy,[status(thm)],[c_3691]) ).
cnf(c_3692,plain,
( h1(e10) = e20
| h3(e12) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_110
| h2(e10) != e21 ),
inference(resolve,[status(thm)],[c_1950,c_2768]) ).
cnf(c_3693,plain,
( h1(e10) = e20
| h1(e10) = e20
| h3(e12) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_110 ),
inference(resolve,[status(thm)],[c_3692,c_2734]) ).
cnf(c_3139,plain,
( h1(e10) = e20
| h3(e12) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_110 ),
inference(copy,[status(thm)],[c_3693]) ).
cnf(c_3694,plain,
( h1(e10) = e20
| op2(e22,e20) = e20
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_110
| h2(e10) != e21 ),
inference(resolve,[status(thm)],[c_1950,c_2674]) ).
cnf(c_3695,plain,
( h1(e10) = e20
| h1(e10) = e20
| op2(e22,e20) = e20
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_110 ),
inference(resolve,[status(thm)],[c_3694,c_2734]) ).
cnf(c_3142,plain,
( h1(e10) = e20
| op2(e22,e20) = e20
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| defn_110 ),
inference(copy,[status(thm)],[c_3695]) ).
cnf(c_3696,plain,
( h1(e10) = e20
| h3(e12) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| h2(e10) != e21 ),
inference(resolve,[status(thm)],[c_1949,c_3139]) ).
cnf(c_3697,plain,
( h1(e10) = e20
| h1(e10) = e20
| h3(e12) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21 ),
inference(resolve,[status(thm)],[c_3696,c_2734]) ).
cnf(c_3146,plain,
( h1(e10) = e20
| h3(e12) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21 ),
inference(copy,[status(thm)],[c_3697]) ).
cnf(c_3698,plain,
( h1(e10) = e20
| h1(e10) = e20
| h3(e12) = e23
| op2(e23,e22) = e22 ),
inference(resolve,[status(thm)],[c_3146,c_2739]) ).
cnf(c_3148,plain,
( h1(e10) = e20
| h3(e12) = e23
| op2(e23,e22) = e22 ),
inference(copy,[status(thm)],[c_3698]) ).
cnf(c_3699,plain,
( h1(e10) = e20
| h1(e10) = e20
| h3(e12) = e23 ),
inference(resolve,[status(thm)],[c_3148,c_2742]) ).
cnf(c_3149,plain,
( h1(e10) = e20
| h3(e12) = e23 ),
inference(copy,[status(thm)],[c_3699]) ).
cnf(c_3700,plain,
( h1(e12) = e20
| h1(e10) = e20
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_3149,c_2847]) ).
cnf(c_3150,plain,
( h1(e12) = e20
| h1(e10) = e20 ),
inference(copy,[status(thm)],[c_3700]) ).
cnf(c_3701,plain,
( op2(e20,e20) = h1(e12)
| h1(e12) = e20 ),
inference(paramod,[status(thm)],[c_3150,c_512]) ).
cnf(c_3159,plain,
( h1(e10) = h1(e12)
| h1(e12) = e20 ),
inference(paramod,[status(thm)],[c_508,c_3701]) ).
cnf(c_3702,plain,
( h1(e12) = e20
| h1(e12) = e20
| h1(e12) = e20 ),
inference(paramod,[status(thm)],[c_3159,c_3150]) ).
cnf(c_3703,plain,
( h1(e12) = e20
| h1(e12) = e20 ),
inference(copy,[status(thm)],[c_3702]) ).
cnf(c_3198,plain,
h1(e12) = e20,
inference(copy,[status(thm)],[c_3703]) ).
cnf(c_3704,plain,
( op2(e22,e20) != e20
| e20 = e22
| h1(e10) = e20 ),
inference(paramod,[status(thm)],[c_3198,c_2771]) ).
cnf(c_3215,plain,
( op2(e22,e20) != e20
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_304,c_3704]) ).
cnf(c_3705,plain,
( h1(e10) = e20
| op2(e22,e20) = e20
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| h2(e10) != e21 ),
inference(resolve,[status(thm)],[c_1949,c_3142]) ).
cnf(c_3706,plain,
( h1(e10) = e20
| h1(e10) = e20
| op2(e22,e20) = e20
| op2(e23,e22) = e22
| op2(e23,e21) = e21 ),
inference(resolve,[status(thm)],[c_3705,c_2734]) ).
cnf(c_3228,plain,
( h1(e10) = e20
| op2(e22,e20) = e20
| op2(e23,e22) = e22
| op2(e23,e21) = e21 ),
inference(copy,[status(thm)],[c_3706]) ).
cnf(c_3707,plain,
( h1(e10) = e20
| h1(e10) = e20
| op2(e23,e22) = e22
| op2(e23,e21) = e21 ),
inference(resolve,[status(thm)],[c_3228,c_3215]) ).
cnf(c_3229,plain,
( h1(e10) = e20
| op2(e23,e22) = e22
| op2(e23,e21) = e21 ),
inference(copy,[status(thm)],[c_3707]) ).
cnf(c_3708,plain,
( h1(e10) = e20
| h1(e10) = e20
| op2(e23,e22) = e22 ),
inference(resolve,[status(thm)],[c_3229,c_2739]) ).
cnf(c_3230,plain,
( h1(e10) = e20
| op2(e23,e22) = e22 ),
inference(copy,[status(thm)],[c_3708]) ).
cnf(c_3709,plain,
( h1(e10) = e20
| h1(e10) = e20 ),
inference(resolve,[status(thm)],[c_3230,c_2742]) ).
cnf(c_3231,plain,
h1(e10) = e20,
inference(copy,[status(thm)],[c_3709]) ).
cnf(c_3280,plain,
( op2(e23,e22) != e21
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != e20
| op2(e21,e20) != e21
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_3231,c_3007]) ).
cnf(c_3710,plain,
( op2(e21,e22) = e22
| e20 = e21 ),
inference(paramod,[status(thm)],[c_3231,c_2805]) ).
cnf(c_3711,plain,
( op2(e21,e22) = e22
| e21 = e20 ),
inference(copy,[status(thm)],[c_3710]) ).
cnf(c_3301,plain,
op2(e21,e22) = e22,
inference(resolve,[status(thm)],[c_302,c_3711]) ).
cnf(c_3712,plain,
( e20 != e20
| op2(e23,e21) = e22 ),
inference(paramod,[status(thm)],[c_3231,c_2535]) ).
cnf(c_3314,plain,
op2(e23,e21) = e22,
inference(copy,[status(thm)],[c_3712]) ).
cnf(c_3713,plain,
( e20 != e20
| op2(e23,e22) = e21 ),
inference(paramod,[status(thm)],[c_3231,c_2521]) ).
cnf(c_3315,plain,
op2(e23,e22) = e21,
inference(copy,[status(thm)],[c_3713]) ).
cnf(c_3714,plain,
( h2(e11) = e20
| e20 = e21 ),
inference(paramod,[status(thm)],[c_3231,c_2504]) ).
cnf(c_3715,plain,
( h2(e11) = e20
| e21 = e20 ),
inference(copy,[status(thm)],[c_3714]) ).
cnf(c_3318,plain,
h2(e11) = e20,
inference(resolve,[status(thm)],[c_302,c_3715]) ).
cnf(c_3716,plain,
( h2(e11) = h2(e10)
| e20 = e21 ),
inference(paramod,[status(thm)],[c_3231,c_2498]) ).
cnf(c_3717,plain,
( e20 = h2(e10)
| e20 = e21 ),
inference(paramod,[status(thm)],[c_3318,c_3716]) ).
cnf(c_3718,plain,
( e20 = h2(e10)
| e21 = e20 ),
inference(copy,[status(thm)],[c_3717]) ).
cnf(c_3719,plain,
( h2(e10) = e20
| e21 = e20 ),
inference(copy,[status(thm)],[c_3718]) ).
cnf(c_3319,plain,
h2(e10) = e20,
inference(resolve,[status(thm)],[c_302,c_3719]) ).
cnf(c_3720,plain,
( h2(e12) = e21
| e20 = e21 ),
inference(paramod,[status(thm)],[c_3231,c_2496]) ).
cnf(c_3721,plain,
( h2(e12) = e21
| e21 = e20 ),
inference(copy,[status(thm)],[c_3720]) ).
cnf(c_3321,plain,
h2(e12) = e21,
inference(resolve,[status(thm)],[c_302,c_3721]) ).
cnf(c_3722,plain,
( op2(e20,e21) = h2(e12)
| e20 = e21 ),
inference(paramod,[status(thm)],[c_3231,c_2399]) ).
cnf(c_3723,plain,
( op2(e20,e21) = e21
| e20 = e21 ),
inference(paramod,[status(thm)],[c_3321,c_3722]) ).
cnf(c_3724,plain,
( op2(e20,e21) = e21
| e21 = e20 ),
inference(copy,[status(thm)],[c_3723]) ).
cnf(c_3328,plain,
op2(e20,e21) = e21,
inference(resolve,[status(thm)],[c_302,c_3724]) ).
cnf(c_3725,plain,
( h3(e10) = e20
| e20 = e21 ),
inference(paramod,[status(thm)],[c_3231,c_2398]) ).
cnf(c_3726,plain,
( h3(e10) = e20
| e21 = e20 ),
inference(copy,[status(thm)],[c_3725]) ).
cnf(c_3329,plain,
h3(e10) = e20,
inference(resolve,[status(thm)],[c_302,c_3726]) ).
cnf(c_3727,plain,
( e20 != e20
| op2(e22,e20) = e22 ),
inference(paramod,[status(thm)],[c_3231,c_2306]) ).
cnf(c_3330,plain,
op2(e22,e20) = e22,
inference(copy,[status(thm)],[c_3727]) ).
cnf(c_3728,plain,
( op2(e21,e20) = e21
| e20 = e21 ),
inference(paramod,[status(thm)],[c_3231,c_2106]) ).
cnf(c_3729,plain,
( op2(e21,e20) = e21
| e21 = e20 ),
inference(copy,[status(thm)],[c_3728]) ).
cnf(c_3331,plain,
op2(e21,e20) = e21,
inference(resolve,[status(thm)],[c_302,c_3729]) ).
cnf(c_3730,plain,
( op2(e23,e22) != e21
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != e20
| op2(e21,e20) != e21
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_3328,c_3280]) ).
cnf(c_3731,plain,
( op2(e23,e22) != e21
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h2(e10) != e20
| e21 != e21
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_3331,c_3730]) ).
cnf(c_3732,plain,
( op2(e23,e22) != e21
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| e20 != e20
| e21 != e21
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_3319,c_3731]) ).
cnf(c_3733,plain,
( op2(e23,e22) != e21
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != e22
| e20 != e20
| e21 != e21
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_3301,c_3732]) ).
cnf(c_3734,plain,
( op2(e23,e22) != e21
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e10)) != e22
| h4(op1(e11,e12)) != e22
| e20 != e20
| e21 != e21
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_3330,c_3733]) ).
cnf(c_3735,plain,
( op2(e23,e22) != e21
| op2(e23,e21) != e22
| h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| h4(op1(e11,e12)) != e22
| e20 != e20
| e21 != e21
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_3329,c_3734]) ).
cnf(c_3736,plain,
( op2(e23,e22) != e21
| e22 != e22
| h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| h4(op1(e11,e12)) != e22
| e20 != e20
| e21 != e21
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_3314,c_3735]) ).
cnf(c_3737,plain,
( e21 != e21
| e22 != e22
| h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| h4(op1(e11,e12)) != e22
| e20 != e20
| e21 != e21
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_3315,c_3736]) ).
cnf(c_3738,plain,
( e21 != e21
| e22 != e22
| h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| h4(op1(e11,e12)) != e22
| e20 != e20
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3737]) ).
cnf(c_3739,plain,
( e21 != e21
| e22 != e22
| h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| h4(op1(e11,e12)) != e22
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3738]) ).
cnf(c_3740,plain,
( e21 != e21
| h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| h4(op1(e11,e12)) != e22
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3739]) ).
cnf(c_3336,plain,
( h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| h4(op1(e11,e12)) != e22
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3740]) ).
cnf(c_3741,plain,
( h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| h4(e12) != e22
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_2588,c_3336]) ).
cnf(c_3742,plain,
( h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| e22 != e22
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_533,c_3741]) ).
cnf(c_3743,plain,
( h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3742]) ).
cnf(c_3350,plain,
( h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| h4(op1(e10,e11)) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3743]) ).
cnf(c_3744,plain,
( h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| h4(e11) != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_2178,c_3350]) ).
cnf(c_3745,plain,
( h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| e21 != e21
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_1922,c_3744]) ).
cnf(c_3746,plain,
( h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3745]) ).
cnf(c_3351,plain,
( h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| h4(op1(e10,e10)) != e20
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_3746]) ).
cnf(c_3747,plain,
( h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| h4(e10) != e20
| op1(e10,e11) = e10
| op1(e12,e10) = e10 ),
inference(paramod,[status(thm)],[c_2633,c_3351]) ).
cnf(c_3748,plain,
( h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| e20 != e20
| op1(e10,e11) = e10
| op1(e12,e10) = e10 ),
inference(paramod,[status(thm)],[c_529,c_3747]) ).
cnf(c_3352,plain,
( h4(op1(e12,e12)) != e20
| h4(op1(e12,e10)) != e22
| op1(e10,e11) = e10
| op1(e12,e10) = e10 ),
inference(copy,[status(thm)],[c_3748]) ).
cnf(c_3749,plain,
( h4(op1(e12,e12)) != e20
| h4(e12) != e22
| op1(e10,e11) = e10
| op1(e12,e10) = e10
| op1(e12,e12) = e12 ),
inference(paramod,[status(thm)],[c_2084,c_3352]) ).
cnf(c_3750,plain,
( h4(op1(e12,e12)) != e20
| e22 != e22
| op1(e10,e11) = e10
| op1(e12,e10) = e10
| op1(e12,e12) = e12 ),
inference(paramod,[status(thm)],[c_533,c_3749]) ).
cnf(c_3353,plain,
( h4(op1(e12,e12)) != e20
| op1(e10,e11) = e10
| op1(e12,e10) = e10
| op1(e12,e12) = e12 ),
inference(copy,[status(thm)],[c_3750]) ).
cnf(c_3751,plain,
( h4(e10) != e20
| op1(e10,e11) = e10
| op1(e12,e10) = e10
| op1(e12,e12) = e12
| op1(e12,e12) = e12 ),
inference(paramod,[status(thm)],[c_2159,c_3353]) ).
cnf(c_3752,plain,
( e20 != e20
| op1(e10,e11) = e10
| op1(e12,e10) = e10
| op1(e12,e12) = e12
| op1(e12,e12) = e12 ),
inference(paramod,[status(thm)],[c_529,c_3751]) ).
cnf(c_3753,plain,
( op1(e10,e11) = e10
| op1(e12,e10) = e10
| op1(e12,e12) = e12
| op1(e12,e12) = e12 ),
inference(copy,[status(thm)],[c_3752]) ).
cnf(c_3357,plain,
( op1(e10,e11) = e10
| op1(e12,e10) = e10
| op1(e12,e12) = e12 ),
inference(copy,[status(thm)],[c_3753]) ).
cnf(c_3754,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e10
| op1(e12,e12) = e12 ),
inference(resolve,[status(thm)],[c_3357,c_2635]) ).
cnf(c_3359,plain,
( op1(e12,e10) = e10
| op1(e12,e12) = e12 ),
inference(copy,[status(thm)],[c_3754]) ).
cnf(c_3755,plain,
( op1(e12,e12) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[status(thm)],[c_3359,c_2320]) ).
cnf(c_3364,plain,
op1(e12,e12) = e12,
inference(copy,[status(thm)],[c_3755]) ).
cnf(c_3756,plain,
( op1(e11,e10) = e12
| e12 = e10 ),
inference(paramod,[status(thm)],[c_3364,c_3098]) ).
cnf(c_3757,plain,
( op1(e11,e10) = e12
| e10 = e12 ),
inference(copy,[status(thm)],[c_3756]) ).
cnf(c_3367,plain,
op1(e11,e10) = e12,
inference(resolve,[status(thm)],[c_293,c_3757]) ).
cnf(c_3758,plain,
( e12 != e12
| op1(e10,e10) = e11 ),
inference(paramod,[status(thm)],[c_3364,c_2612]) ).
cnf(c_3369,plain,
op1(e10,e10) = e11,
inference(copy,[status(thm)],[c_3758]) ).
cnf(c_3759,plain,
( e12 != e12
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_3364,c_2610]) ).
cnf(c_3370,plain,
op1(e10,e11) = e10,
inference(copy,[status(thm)],[c_3759]) ).
cnf(c_3760,plain,
( e12 != e12
| defn_50
| defn_40
| defn_30 ),
inference(paramod,[status(thm)],[c_3364,c_2571]) ).
cnf(c_3371,plain,
( defn_50
| defn_40
| defn_30 ),
inference(copy,[status(thm)],[c_3760]) ).
cnf(c_3761,plain,
( e12 = e10
| op1(e11,e12) = e10 ),
inference(paramod,[status(thm)],[c_3364,c_2230]) ).
cnf(c_3762,plain,
( e10 = e12
| op1(e11,e12) = e10 ),
inference(copy,[status(thm)],[c_3761]) ).
cnf(c_3373,plain,
op1(e11,e12) = e10,
inference(resolve,[status(thm)],[c_293,c_3762]) ).
cnf(c_3763,plain,
( e10 = e12
| ~ defn_40 ),
inference(paramod,[status(thm)],[c_3373,c_397]) ).
cnf(c_3375,plain,
~ defn_40,
inference(resolve,[status(thm)],[c_293,c_3763]) ).
cnf(c_3764,plain,
( e12 = e10
| ~ defn_30 ),
inference(paramod,[status(thm)],[c_3367,c_402]) ).
cnf(c_3765,plain,
( e10 = e12
| ~ defn_30 ),
inference(copy,[status(thm)],[c_3764]) ).
cnf(c_3377,plain,
~ defn_30,
inference(resolve,[status(thm)],[c_293,c_3765]) ).
cnf(c_3766,plain,
( op1(e10,e11) != e10
| e11 != e11
| ~ defn_50 ),
inference(paramod,[status(thm)],[c_3369,c_391]) ).
cnf(c_3767,plain,
( e10 != e10
| e11 != e11
| ~ defn_50 ),
inference(paramod,[status(thm)],[c_3370,c_3766]) ).
cnf(c_3768,plain,
( e10 != e10
| ~ defn_50 ),
inference(copy,[status(thm)],[c_3767]) ).
cnf(c_3378,plain,
~ defn_50,
inference(copy,[status(thm)],[c_3768]) ).
cnf(c_3769,plain,
( defn_50
| defn_40 ),
inference(resolve,[status(thm)],[c_3377,c_3371]) ).
cnf(c_3770,plain,
defn_50,
inference(resolve,[status(thm)],[c_3375,c_3769]) ).
cnf(c_3379,plain,
$false,
inference(resolve,[status(thm)],[c_3378,c_3770]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG123+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.80 % Computer : n016.cluster.edu
% 0.09/0.80 % Model : x86_64 x86_64
% 0.09/0.80 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.80 % Memory : 8046.5625MB
% 0.09/0.80 % OS : Linux 6.8.0-71-generic
% 0.02/0.80 % CPULimit : 300
% 0.02/0.80 % WCLimit : 300
% 0.02/0.80 % DateTime : Sat Sep 26 21:17:32 UTC 2026
% 0.02/0.80 % CPUTime :
% 0.02/0.80 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.02/0.80 % Process 1727964 was started by sandbox on n016,
% 0.02/0.80 % Sat Sep 26 21:17:32 2026
% 0.02/0.80 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 13.21/13.97
% 13.21/13.97 % From the command line: assign(max_seconds, 300).
% 23.10/17.16
% 23.10/17.16 % given #500 (T,wt=22): 2662 h2(e10) = e20 | h2(e10) = e22 | h2(e12) != e23. [para(2341(c,1),2109(a,1))].
% 23.10/17.16
% 23.10/17.16 % SZS status Theorem for theBenchmark
% 23.10/17.16
% 23.10/17.16 % Proof 1 at 1.16 (+ 0.23) seconds.
% 23.10/17.16 % Length of proof is 478.
% 23.10/17.16 % Level of proof is 38.
% 23.10/17.16 % Maximum clause weight is 136.000.
% 23.10/17.16 % Given clauses 874.
% 23.10/17.16
% 23.10/17.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------