%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG126+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 06:49:35 AM UTC 2026
% Result : Theorem 27.88s 16.03s
% Output : CNFRefutation 28.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 121
% Number of leaves : 36
% Syntax : Number of formulae : 931 ( 254 unt; 20 def)
% Number of atoms : 5291 (4630 equ)
% Maximal formula atoms : 208 ( 5 avg)
% Number of connectives : 6888 (2528 ~;3659 |; 681 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 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,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& 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,op1(e13,e13)) = e13
& op1(e13,op1(e13,e12)) = e12
& op1(e13,op1(e13,e11)) = e11
& op1(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,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e11)) = e11
& op1(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,op1(e11,e13)) = e13
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(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,op1(e10,e13)) = e13
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ) ),
file('theBenchmark.p',ax10) ).
fof(ax11,axiom,
( ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& 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,op2(e23,e23)) = e23
& op2(e23,op2(e23,e22)) = e22
& op2(e23,op2(e23,e21)) = e21
& op2(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,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e21)) = e21
& op2(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,op2(e21,e23)) = e23
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(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,op2(e20,e23)) = e23
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ) ),
file('theBenchmark.p',ax11) ).
fof(ax12,axiom,
( e13 = op1(op1(e11,e11),op1(e11,e11))
& e12 = op1(op1(op1(e11,e11),op1(e11,e11)),op1(e11,e11))
& e10 = op1(e11,e11) ),
file('theBenchmark.p',ax12) ).
fof(ax13,axiom,
( e23 = op2(op2(e21,e21),op2(e21,e21))
& e22 = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& e20 = op2(e21,e21) ),
file('theBenchmark.p',ax13) ).
fof(ax14,axiom,
( h1(e13) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e10) = op2(e20,e20)
& h1(e11) = e20 ),
file('theBenchmark.p',ax14) ).
fof(ax15,axiom,
( h2(e13) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e10) = op2(e21,e21)
& h2(e11) = e21 ),
file('theBenchmark.p',ax15) ).
fof(ax16,axiom,
( h3(e13) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e10) = op2(e22,e22)
& h3(e11) = e22 ),
file('theBenchmark.p',ax16) ).
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_20,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_22,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_25,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = 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_30,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = 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_36,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = 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_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_49,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_50,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_52,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_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_56,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
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_60,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_62,plain,
( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_64,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_68,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_70,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_71,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_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_81,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_82,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = 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_87,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_94,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_95,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_96,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_102,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_103,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_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_107,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_110,plain,
( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_113,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_114,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_115,plain,
op1(e11,e10) != op1(e10,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_116,plain,
op1(e10,e10) != op1(e11,e10),
inference(copy,[status(thm)],[c_115]) ).
cnf(c_124,plain,
op1(e11,e11) != op1(e10,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_125,plain,
op1(e10,e11) != op1(e11,e11),
inference(copy,[status(thm)],[c_124]) ).
cnf(c_128,plain,
op1(e13,e11) != op1(e10,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_129,plain,
op1(e10,e11) != op1(e13,e11),
inference(copy,[status(thm)],[c_128]) ).
cnf(c_131,plain,
op1(e13,e11) != op1(e11,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_137,plain,
op1(e13,e12) != op1(e10,e12),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_138,plain,
op1(e10,e12) != op1(e13,e12),
inference(copy,[status(thm)],[c_137]) ).
cnf(c_139,plain,
op1(e12,e12) != op1(e11,e12),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_140,plain,
op1(e13,e12) != op1(e11,e12),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_144,plain,
op1(e12,e13) != op1(e10,e13),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_145,plain,
op1(e10,e13) != op1(e12,e13),
inference(copy,[status(thm)],[c_144]) ).
cnf(c_148,plain,
op1(e12,e13) != op1(e11,e13),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_151,plain,
op1(e10,e11) != op1(e10,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_152,plain,
op1(e10,e10) != op1(e10,e11),
inference(copy,[status(thm)],[c_151]) ).
cnf(c_153,plain,
op1(e10,e12) != op1(e10,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_154,plain,
op1(e10,e10) != op1(e10,e12),
inference(copy,[status(thm)],[c_153]) ).
cnf(c_155,plain,
op1(e10,e13) != op1(e10,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_156,plain,
op1(e10,e10) != op1(e10,e13),
inference(copy,[status(thm)],[c_155]) ).
cnf(c_158,plain,
op1(e10,e13) != op1(e10,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_159,plain,
op1(e10,e13) != op1(e10,e12),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_160,plain,
op1(e11,e11) != op1(e11,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_161,plain,
op1(e11,e10) != op1(e11,e11),
inference(copy,[status(thm)],[c_160]) ).
cnf(c_162,plain,
op1(e11,e12) != op1(e11,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_163,plain,
op1(e11,e10) != op1(e11,e12),
inference(copy,[status(thm)],[c_162]) ).
cnf(c_164,plain,
op1(e11,e13) != op1(e11,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_165,plain,
op1(e11,e10) != op1(e11,e13),
inference(copy,[status(thm)],[c_164]) ).
cnf(c_166,plain,
op1(e11,e12) != op1(e11,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_167,plain,
op1(e11,e13) != op1(e11,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_171,plain,
op1(e12,e12) != op1(e12,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_172,plain,
op1(e12,e10) != op1(e12,e12),
inference(copy,[status(thm)],[c_171]) ).
cnf(c_173,plain,
op1(e12,e13) != op1(e12,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_174,plain,
op1(e12,e10) != op1(e12,e13),
inference(copy,[status(thm)],[c_173]) ).
cnf(c_175,plain,
op1(e12,e12) != op1(e12,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_176,plain,
op1(e12,e13) != op1(e12,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_178,plain,
op1(e13,e11) != op1(e13,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_179,plain,
op1(e13,e10) != op1(e13,e11),
inference(copy,[status(thm)],[c_178]) ).
cnf(c_180,plain,
op1(e13,e12) != op1(e13,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_181,plain,
op1(e13,e10) != op1(e13,e12),
inference(copy,[status(thm)],[c_180]) ).
cnf(c_182,plain,
op1(e13,e13) != op1(e13,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_183,plain,
op1(e13,e10) != op1(e13,e13),
inference(copy,[status(thm)],[c_182]) ).
cnf(c_184,plain,
op1(e13,e12) != op1(e13,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_187,plain,
op2(e21,e20) != op2(e20,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_188,plain,
op2(e20,e20) != op2(e21,e20),
inference(copy,[status(thm)],[c_187]) ).
cnf(c_194,plain,
op2(e23,e20) != op2(e21,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_196,plain,
op2(e21,e21) != op2(e20,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_197,plain,
op2(e20,e21) != op2(e21,e21),
inference(copy,[status(thm)],[c_196]) ).
cnf(c_198,plain,
op2(e22,e21) != op2(e20,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_199,plain,
op2(e20,e21) != op2(e22,e21),
inference(copy,[status(thm)],[c_198]) ).
cnf(c_203,plain,
op2(e23,e21) != op2(e21,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_209,plain,
op2(e23,e22) != op2(e20,e22),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_210,plain,
op2(e20,e22) != op2(e23,e22),
inference(copy,[status(thm)],[c_209]) ).
cnf(c_213,plain,
op2(e23,e22) != op2(e22,e22),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_214,plain,
op2(e21,e23) != op2(e20,e23),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_215,plain,
op2(e20,e23) != op2(e21,e23),
inference(copy,[status(thm)],[c_214]) ).
cnf(c_218,plain,
op2(e23,e23) != op2(e20,e23),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_219,plain,
op2(e20,e23) != op2(e23,e23),
inference(copy,[status(thm)],[c_218]) ).
cnf(c_223,plain,
op2(e20,e21) != op2(e20,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_224,plain,
op2(e20,e20) != op2(e20,e21),
inference(copy,[status(thm)],[c_223]) ).
cnf(c_227,plain,
op2(e20,e23) != op2(e20,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_228,plain,
op2(e20,e20) != op2(e20,e23),
inference(copy,[status(thm)],[c_227]) ).
cnf(c_230,plain,
op2(e20,e23) != op2(e20,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_231,plain,
op2(e20,e23) != op2(e20,e22),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_232,plain,
op2(e21,e21) != op2(e21,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_233,plain,
op2(e21,e20) != op2(e21,e21),
inference(copy,[status(thm)],[c_232]) ).
cnf(c_234,plain,
op2(e21,e22) != op2(e21,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_235,plain,
op2(e21,e20) != op2(e21,e22),
inference(copy,[status(thm)],[c_234]) ).
cnf(c_236,plain,
op2(e21,e23) != op2(e21,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_237,plain,
op2(e21,e20) != op2(e21,e23),
inference(copy,[status(thm)],[c_236]) ).
cnf(c_243,plain,
op2(e22,e22) != op2(e22,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_244,plain,
op2(e22,e20) != op2(e22,e22),
inference(copy,[status(thm)],[c_243]) ).
cnf(c_250,plain,
op2(e23,e21) != op2(e23,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_251,plain,
op2(e23,e20) != op2(e23,e21),
inference(copy,[status(thm)],[c_250]) ).
cnf(c_252,plain,
op2(e23,e22) != op2(e23,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_253,plain,
op2(e23,e20) != op2(e23,e22),
inference(copy,[status(thm)],[c_252]) ).
cnf(c_254,plain,
op2(e23,e23) != op2(e23,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_255,plain,
op2(e23,e20) != op2(e23,e23),
inference(copy,[status(thm)],[c_254]) ).
cnf(c_256,plain,
op2(e23,e22) != op2(e23,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_258,plain,
op2(e23,e23) != op2(e23,e22),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_259,plain,
e11 != e10,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_260,plain,
e10 != e11,
inference(copy,[status(thm)],[c_259]) ).
cnf(c_261,plain,
e12 != e10,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_262,plain,
e10 != e12,
inference(copy,[status(thm)],[c_261]) ).
cnf(c_263,plain,
e13 != e10,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_264,plain,
e10 != e13,
inference(copy,[status(thm)],[c_263]) ).
cnf(c_265,plain,
e12 != e11,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_266,plain,
e13 != e11,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_267,plain,
e13 != e12,
inference(clausify,[status(thm)],[ax7]) ).
cnf(c_268,plain,
e21 != e20,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_269,plain,
e20 != e21,
inference(copy,[status(thm)],[c_268]) ).
cnf(c_270,plain,
e22 != e20,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_271,plain,
e20 != e22,
inference(copy,[status(thm)],[c_270]) ).
cnf(c_272,plain,
e23 != e20,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_273,plain,
e20 != e23,
inference(copy,[status(thm)],[c_272]) ).
cnf(c_274,plain,
e22 != e21,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_275,plain,
e23 != e21,
inference(clausify,[status(thm)],[ax8]) ).
cnf(c_276,plain,
e23 != e22,
inference(clausify,[status(thm)],[ax8]) ).
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,op1(e10,e13)) = e13
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_00])],[]) ).
cnf(c_562,plain,
( op1(e13,op1(e13,e10)) = e10
| op1(e12,op1(e12,e12)) = e12
| op1(e12,e11) = e12
| op1(e12,e12) != e11
| defn_00 ),
inference(clausify,[status(thm)],[ax10,def_defn_00]) ).
fof(def_defn_10,definition,
( defn_10
<=> ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_10])],[]) ).
fof(def_defn_20,definition,
( defn_20
<=> ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_20])],[]) ).
fof(def_defn_30,definition,
( defn_30
<=> ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_30])],[]) ).
fof(def_defn_40,definition,
( defn_40
<=> ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 ) ),
introduced(definition,[new_symbols(definition,[defn_40])],[]) ).
fof(def_defn_50,definition,
( defn_50
<=> ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 ) ),
introduced(definition,[new_symbols(definition,[defn_50])],[]) ).
fof(def_defn_60,definition,
( defn_60
<=> ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 ) ),
introduced(definition,[new_symbols(definition,[defn_60])],[]) ).
fof(def_defn_70,definition,
( defn_70
<=> ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 ) ),
introduced(definition,[new_symbols(definition,[defn_70])],[]) ).
fof(def_defn_80,definition,
( defn_80
<=> ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ),
introduced(definition,[new_symbols(definition,[defn_80])],[]) ).
fof(def_defn_90,definition,
( defn_90
<=> ( op1(e13,e13) != e13
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e12) = e12
& op1(e12,e13) = e12 ) ),
introduced(definition,[new_symbols(definition,[defn_90])],[]) ).
cnf(c_658,plain,
( op1(e13,e12) = e13
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| op1(e13,e10) = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(clausify,[status(thm)],[ax10,def_defn_10,def_defn_20,def_defn_30,def_defn_40,def_defn_50,def_defn_60,def_defn_70,def_defn_80,def_defn_90]) ).
cnf(c_659,plain,
( op1(e12,e13) = e13
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| op1(e13,e10) = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(clausify,[status(thm)],[ax10,def_defn_10,def_defn_20,def_defn_30,def_defn_40,def_defn_50,def_defn_60,def_defn_70,def_defn_80,def_defn_90]) ).
cnf(c_662,plain,
( op1(e12,e12) != e12
| op1(e11,e11) != e10
| op1(e11,e10) != e11
| op1(e13,e10) = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(clausify,[status(thm)],[ax10,def_defn_10,def_defn_20,def_defn_30,def_defn_40,def_defn_50,def_defn_60,def_defn_70,def_defn_80,def_defn_90]) ).
cnf(c_866,plain,
( op1(e13,e12) = e12
| ~ defn_90 ),
inference(clausify,[status(thm)],[ax10,def_defn_90]) ).
cnf(c_871,plain,
( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ defn_80 ),
inference(clausify,[status(thm)],[ax10,def_defn_80]) ).
cnf(c_879,plain,
( op1(e12,e10) = e12
| ~ defn_70 ),
inference(clausify,[status(thm)],[ax10,def_defn_70]) ).
cnf(c_885,plain,
( op1(e11,e13) = e11
| ~ defn_60 ),
inference(clausify,[status(thm)],[ax10,def_defn_60]) ).
cnf(c_891,plain,
( op1(e11,e12) = e11
| ~ defn_50 ),
inference(clausify,[status(thm)],[ax10,def_defn_50]) ).
cnf(c_892,plain,
( op1(e10,e10) != e13
| op1(e10,e13) != e10
| ~ defn_40 ),
inference(clausify,[status(thm)],[ax10,def_defn_40]) ).
cnf(c_896,plain,
( op1(e10,e11) = e11
| ~ defn_40 ),
inference(clausify,[status(thm)],[ax10,def_defn_40]) ).
cnf(c_902,plain,
( op1(e13,e10) = e10
| ~ defn_30 ),
inference(clausify,[status(thm)],[ax10,def_defn_30]) ).
cnf(c_904,plain,
( op1(e12,e12) != e13
| op1(e12,e13) != e12
| ~ defn_20 ),
inference(clausify,[status(thm)],[ax10,def_defn_20]) ).
cnf(c_905,plain,
( op1(e12,e12) != e12
| ~ defn_20 ),
inference(clausify,[status(thm)],[ax10,def_defn_20]) ).
cnf(c_909,plain,
( op1(e10,e12) = e10
| ~ defn_20 ),
inference(clausify,[status(thm)],[ax10,def_defn_20]) ).
cnf(c_914,plain,
( op1(e11,e10) = e10
| ~ defn_10 ),
inference(clausify,[status(thm)],[ax10,def_defn_10]) ).
cnf(c_922,plain,
( op1(e10,op1(e10,e10)) = e10
| ~ defn_00 ),
inference(clausify,[status(thm)],[ax10,def_defn_00]) ).
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,op2(e20,e23)) = e23
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_100])],[]) ).
cnf(c_1186,plain,
( op2(e20,e23) = e20
| op2(e20,e20) != e23
| op2(e22,op2(e22,e22)) = e22
| op2(e22,e21) = e22
| op2(e22,e22) != e21
| defn_100 ),
inference(clausify,[status(thm)],[ax11,def_defn_100]) ).
fof(def_defn_110,definition,
( defn_110
<=> ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_110])],[]) ).
fof(def_defn_120,definition,
( defn_120
<=> ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_120])],[]) ).
fof(def_defn_130,definition,
( defn_130
<=> ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_130])],[]) ).
fof(def_defn_140,definition,
( defn_140
<=> ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 ) ),
introduced(definition,[new_symbols(definition,[defn_140])],[]) ).
fof(def_defn_150,definition,
( defn_150
<=> ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 ) ),
introduced(definition,[new_symbols(definition,[defn_150])],[]) ).
fof(def_defn_160,definition,
( defn_160
<=> ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 ) ),
introduced(definition,[new_symbols(definition,[defn_160])],[]) ).
fof(def_defn_170,definition,
( defn_170
<=> ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
introduced(definition,[new_symbols(definition,[defn_170])],[]) ).
fof(def_defn_180,definition,
( defn_180
<=> ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
introduced(definition,[new_symbols(definition,[defn_180])],[]) ).
fof(def_defn_190,definition,
( defn_190
<=> ( op2(e23,e23) != e23
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e22) = e22
& op2(e22,e23) = e22 ) ),
introduced(definition,[new_symbols(definition,[defn_190])],[]) ).
cnf(c_1278,plain,
( op2(e23,e22) = e23
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| op2(e23,e20) = e23
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(clausify,[status(thm)],[ax11,def_defn_110,def_defn_120,def_defn_130,def_defn_140,def_defn_150,def_defn_160,def_defn_170,def_defn_180,def_defn_190]) ).
cnf(c_1282,plain,
( op2(e22,e22) != e22
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| op2(e23,e20) = e23
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(clausify,[status(thm)],[ax11,def_defn_110,def_defn_120,def_defn_130,def_defn_140,def_defn_150,def_defn_160,def_defn_170,def_defn_180,def_defn_190]) ).
cnf(c_1486,plain,
( op2(e23,e22) = e22
| ~ defn_190 ),
inference(clausify,[status(thm)],[ax11,def_defn_190]) ).
cnf(c_1491,plain,
( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ defn_180 ),
inference(clausify,[status(thm)],[ax11,def_defn_180]) ).
cnf(c_1499,plain,
( op2(e22,e20) = e22
| ~ defn_170 ),
inference(clausify,[status(thm)],[ax11,def_defn_170]) ).
cnf(c_1505,plain,
( op2(e21,e23) = e21
| ~ defn_160 ),
inference(clausify,[status(thm)],[ax11,def_defn_160]) ).
cnf(c_1511,plain,
( op2(e21,e22) = e21
| ~ defn_150 ),
inference(clausify,[status(thm)],[ax11,def_defn_150]) ).
cnf(c_1512,plain,
( op2(e20,e20) != e23
| op2(e20,e23) != e20
| ~ defn_140 ),
inference(clausify,[status(thm)],[ax11,def_defn_140]) ).
cnf(c_1516,plain,
( op2(e20,e21) = e21
| ~ defn_140 ),
inference(clausify,[status(thm)],[ax11,def_defn_140]) ).
cnf(c_1522,plain,
( op2(e23,e20) = e20
| ~ defn_130 ),
inference(clausify,[status(thm)],[ax11,def_defn_130]) ).
cnf(c_1524,plain,
( op2(e22,e22) != e23
| op2(e22,e23) != e22
| ~ defn_120 ),
inference(clausify,[status(thm)],[ax11,def_defn_120]) ).
cnf(c_1525,plain,
( op2(e22,e22) != e22
| ~ defn_120 ),
inference(clausify,[status(thm)],[ax11,def_defn_120]) ).
cnf(c_1529,plain,
( op2(e20,e22) = e20
| ~ defn_120 ),
inference(clausify,[status(thm)],[ax11,def_defn_120]) ).
cnf(c_1534,plain,
( op2(e21,e20) = e20
| ~ defn_110 ),
inference(clausify,[status(thm)],[ax11,def_defn_110]) ).
cnf(c_1536,plain,
( op2(e23,e20) = e23
| op2(e23,e23) != e20
| ~ defn_100 ),
inference(clausify,[status(thm)],[ax11,def_defn_100]) ).
cnf(c_1543,plain,
op1(e11,e11) = e10,
inference(clausify,[status(thm)],[ax12]) ).
cnf(c_1544,plain,
op1(op1(op1(e11,e11),op1(e11,e11)),op1(e11,e11)) = e12,
inference(clausify,[status(thm)],[ax12]) ).
cnf(c_5114,plain,
op1(op1(e10,op1(e11,e11)),op1(e11,e11)) = e12,
inference(paramod,[status(thm)],[c_1543,c_1544]) ).
cnf(c_5115,plain,
op1(op1(e10,e10),op1(e11,e11)) = e12,
inference(paramod,[status(thm)],[c_1543,c_5114]) ).
cnf(c_1545,plain,
op1(op1(e10,e10),e10) = e12,
inference(paramod,[status(thm)],[c_1543,c_5115]) ).
cnf(c_1546,plain,
op1(op1(e11,e11),op1(e11,e11)) = e13,
inference(clausify,[status(thm)],[ax12]) ).
cnf(c_5116,plain,
op1(e10,op1(e11,e11)) = e13,
inference(paramod,[status(thm)],[c_1543,c_1546]) ).
cnf(c_1547,plain,
op1(e10,e10) = e13,
inference(paramod,[status(thm)],[c_1543,c_5116]) ).
cnf(c_1548,plain,
op2(e21,e21) = e20,
inference(clausify,[status(thm)],[ax13]) ).
cnf(c_1549,plain,
op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)) = e22,
inference(clausify,[status(thm)],[ax13]) ).
cnf(c_5117,plain,
op2(op2(e20,op2(e21,e21)),op2(e21,e21)) = e22,
inference(paramod,[status(thm)],[c_1548,c_1549]) ).
cnf(c_5118,plain,
op2(op2(e20,e20),op2(e21,e21)) = e22,
inference(paramod,[status(thm)],[c_1548,c_5117]) ).
cnf(c_1550,plain,
op2(op2(e20,e20),e20) = e22,
inference(paramod,[status(thm)],[c_1548,c_5118]) ).
cnf(c_1551,plain,
op2(op2(e21,e21),op2(e21,e21)) = e23,
inference(clausify,[status(thm)],[ax13]) ).
cnf(c_5119,plain,
op2(e20,op2(e21,e21)) = e23,
inference(paramod,[status(thm)],[c_1548,c_1551]) ).
cnf(c_1552,plain,
op2(e20,e20) = e23,
inference(paramod,[status(thm)],[c_1548,c_5119]) ).
cnf(c_1556,plain,
h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)),
inference(clausify,[status(thm)],[ax14]) ).
cnf(c_5120,plain,
h1(e12) = op2(op2(e23,op2(e20,e20)),op2(e20,e20)),
inference(paramod,[status(thm)],[c_1552,c_1556]) ).
cnf(c_5121,plain,
h1(e12) = op2(op2(e23,e23),op2(e20,e20)),
inference(paramod,[status(thm)],[c_1552,c_5120]) ).
cnf(c_5122,plain,
h1(e12) = op2(op2(e23,e23),e23),
inference(paramod,[status(thm)],[c_1552,c_5121]) ).
cnf(c_1557,plain,
op2(op2(e23,e23),e23) = h1(e12),
inference(copy,[status(thm)],[c_5122]) ).
cnf(c_1558,plain,
h1(e13) = op2(op2(e20,e20),op2(e20,e20)),
inference(clausify,[status(thm)],[ax14]) ).
cnf(c_5123,plain,
h1(e13) = op2(e23,op2(e20,e20)),
inference(paramod,[status(thm)],[c_1552,c_1558]) ).
cnf(c_5124,plain,
h1(e13) = op2(e23,e23),
inference(paramod,[status(thm)],[c_1552,c_5123]) ).
cnf(c_1559,plain,
op2(e23,e23) = h1(e13),
inference(copy,[status(thm)],[c_5124]) ).
cnf(c_1560,plain,
h2(e11) = e21,
inference(clausify,[status(thm)],[ax15]) ).
cnf(c_1561,plain,
h2(e10) = op2(e21,e21),
inference(clausify,[status(thm)],[ax15]) ).
cnf(c_1562,plain,
h2(e10) = e20,
inference(paramod,[status(thm)],[c_1548,c_1561]) ).
cnf(c_1563,plain,
h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),
inference(clausify,[status(thm)],[ax15]) ).
cnf(c_5125,plain,
h2(e12) = op2(op2(e20,op2(e21,e21)),op2(e21,e21)),
inference(paramod,[status(thm)],[c_1548,c_1563]) ).
cnf(c_5126,plain,
h2(e12) = op2(op2(e20,e20),op2(e21,e21)),
inference(paramod,[status(thm)],[c_1548,c_5125]) ).
cnf(c_5127,plain,
h2(e12) = op2(e23,op2(e21,e21)),
inference(paramod,[status(thm)],[c_1552,c_5126]) ).
cnf(c_5128,plain,
h2(e12) = op2(e23,e20),
inference(paramod,[status(thm)],[c_1548,c_5127]) ).
cnf(c_1564,plain,
op2(e23,e20) = h2(e12),
inference(copy,[status(thm)],[c_5128]) ).
cnf(c_1565,plain,
h2(e13) = op2(op2(e21,e21),op2(e21,e21)),
inference(clausify,[status(thm)],[ax15]) ).
cnf(c_5129,plain,
h2(e13) = op2(e20,op2(e21,e21)),
inference(paramod,[status(thm)],[c_1548,c_1565]) ).
cnf(c_5130,plain,
h2(e13) = op2(e20,e20),
inference(paramod,[status(thm)],[c_1548,c_5129]) ).
cnf(c_1566,plain,
h2(e13) = e23,
inference(paramod,[status(thm)],[c_1552,c_5130]) ).
cnf(c_1568,plain,
h3(e10) = op2(e22,e22),
inference(clausify,[status(thm)],[ax16]) ).
cnf(c_1569,plain,
op2(e22,e22) = h3(e10),
inference(copy,[status(thm)],[c_1568]) ).
cnf(c_1869,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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)) ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_5131,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e13) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1547,c_1869]) ).
cnf(c_5132,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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))
| e23 != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1566,c_5131]) ).
cnf(c_5133,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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))
| e23 != op2(e20,h2(e10)) ),
inference(paramod,[status(thm)],[c_1562,c_5132]) ).
cnf(c_5134,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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))
| e23 != op2(e20,e20) ),
inference(paramod,[status(thm)],[c_1562,c_5133]) ).
cnf(c_5135,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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))
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1552,c_5134]) ).
cnf(c_5136,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e20,h2(e11))
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1562,c_5135]) ).
cnf(c_5137,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1560,c_5136]) ).
cnf(c_5138,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1562,c_5137]) ).
cnf(c_5139,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e20,h2(e13))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1562,c_5138]) ).
cnf(c_5140,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1566,c_5139]) ).
cnf(c_5141,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e21,h2(e10))
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1560,c_5140]) ).
cnf(c_5142,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1562,c_5141]) ).
cnf(c_5143,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e10) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1543,c_5142]) ).
cnf(c_5144,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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))
| e20 != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1562,c_5143]) ).
cnf(c_5145,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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))
| e20 != op2(e21,h2(e11))
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1560,c_5144]) ).
cnf(c_5146,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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))
| e20 != op2(e21,e21)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1560,c_5145]) ).
cnf(c_5147,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1548,c_5146]) ).
cnf(c_5148,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1560,c_5147]) ).
cnf(c_5149,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e21,h2(e13))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1560,c_5148]) ).
cnf(c_5150,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1566,c_5149]) ).
cnf(c_5151,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1562,c_5150]) ).
cnf(c_5152,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1560,c_5151]) ).
cnf(c_5153,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1566,c_5152]) ).
cnf(c_5154,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e23,h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1566,c_5153]) ).
cnf(c_5155,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e23,e20)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1562,c_5154]) ).
cnf(c_5156,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1564,c_5155]) ).
cnf(c_5157,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e23,h2(e11))
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1566,c_5156]) ).
cnf(c_5158,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| 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(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1560,c_5157]) ).
cnf(c_5159,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| h2(e10) != e20
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1566,c_5158]) ).
cnf(c_5160,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| h2(e10) != e20
| h2(op1(e13,e13)) != op2(e23,h2(e13))
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1566,c_5159]) ).
cnf(c_5161,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| h2(e10) != e20
| h2(op1(e13,e13)) != op2(e23,e23)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1566,c_5160]) ).
cnf(c_5162,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| h2(e10) != e20
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1559,c_5161]) ).
cnf(c_5163,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| e20 != e20
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1562,c_5162]) ).
cnf(c_5164,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| e21 != e21
| e20 != e20
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1560,c_5163]) ).
cnf(c_5165,negated_conjecture,
( e23 != e23
| h2(e12) != e22
| e21 != e21
| e20 != e20
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1566,c_5164]) ).
cnf(c_5166,negated_conjecture,
( e23 != e23
| h2(e12) != e22
| e21 != e21
| e20 != e20
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23 ),
inference(copy,[status(thm)],[c_5165]) ).
cnf(c_5167,negated_conjecture,
( e23 != e23
| h2(e12) != e22
| e21 != e21
| e20 != e20
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| e20 != e20
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(copy,[status(thm)],[c_5166]) ).
cnf(c_5168,negated_conjecture,
( e23 != e23
| h2(e12) != e22
| e21 != e21
| e20 != e20
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(copy,[status(thm)],[c_5167]) ).
cnf(c_5169,negated_conjecture,
( e23 != e23
| h2(e12) != e22
| e21 != e21
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(copy,[status(thm)],[c_5168]) ).
cnf(c_5170,negated_conjecture,
( e23 != e23
| h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(copy,[status(thm)],[c_5169]) ).
cnf(c_1870,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(copy,[status(thm)],[c_5170]) ).
cnf(c_5171,plain,
( e10 != e10
| op1(e11,e10) != e11
| ~ defn_80 ),
inference(paramod,[status(thm)],[c_1543,c_871]) ).
cnf(c_2721,plain,
( op1(e11,e10) != e11
| ~ defn_80 ),
inference(copy,[status(thm)],[c_5171]) ).
cnf(c_5172,plain,
( op1(e12,e12) != e12
| e10 != e10
| op1(e11,e10) != e11
| op1(e13,e10) = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(paramod,[status(thm)],[c_1543,c_662]) ).
cnf(c_2735,plain,
( op1(e12,e12) != e12
| op1(e11,e10) != e11
| op1(e13,e10) = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(copy,[status(thm)],[c_5172]) ).
cnf(c_5173,plain,
( op1(e12,e13) = e13
| e10 != e10
| op1(e11,e10) != e11
| op1(e13,e10) = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(paramod,[status(thm)],[c_1543,c_659]) ).
cnf(c_2738,plain,
( op1(e12,e13) = e13
| op1(e11,e10) != e11
| op1(e13,e10) = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(copy,[status(thm)],[c_5173]) ).
cnf(c_5174,plain,
( op1(e13,e12) = e13
| e10 != e10
| op1(e11,e10) != e11
| op1(e13,e10) = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(paramod,[status(thm)],[c_1543,c_658]) ).
cnf(c_2739,plain,
( op1(e13,e12) = e13
| op1(e11,e10) != e11
| op1(e13,e10) = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(copy,[status(thm)],[c_5174]) ).
cnf(c_2770,plain,
op1(e11,e13) != e10,
inference(paramod,[status(thm)],[c_1543,c_167]) ).
cnf(c_2771,plain,
op1(e11,e12) != e10,
inference(paramod,[status(thm)],[c_1543,c_166]) ).
cnf(c_2772,plain,
op1(e11,e10) != e10,
inference(paramod,[status(thm)],[c_1543,c_161]) ).
cnf(c_2773,plain,
op1(e13,e11) != e10,
inference(paramod,[status(thm)],[c_1543,c_131]) ).
cnf(c_2775,plain,
op1(e10,e11) != e10,
inference(paramod,[status(thm)],[c_1543,c_125]) ).
cnf(c_5175,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| e10 = e13
| op1(e10,e11) = e13 ),
inference(paramod,[status(thm)],[c_1543,c_50]) ).
cnf(c_2776,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[status(thm)],[c_264,c_5175]) ).
cnf(c_5176,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| e10 = e13
| op1(e11,e10) = e13 ),
inference(paramod,[status(thm)],[c_1543,c_49]) ).
cnf(c_2777,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e10) = e13 ),
inference(resolve,[status(thm)],[c_264,c_5176]) ).
cnf(c_5177,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| e10 = e12
| op1(e10,e11) = e12 ),
inference(paramod,[status(thm)],[c_1543,c_48]) ).
cnf(c_2778,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e10,e11) = e12 ),
inference(resolve,[status(thm)],[c_262,c_5177]) ).
cnf(c_2782,plain,
op1(e13,e10) = e12,
inference(paramod,[status(thm)],[c_1547,c_1545]) ).
cnf(c_2783,plain,
( op1(e10,e13) = e10
| ~ defn_00 ),
inference(paramod,[status(thm)],[c_1547,c_922]) ).
cnf(c_5178,plain,
( e13 != e13
| op1(e10,e13) != e10
| ~ defn_40 ),
inference(paramod,[status(thm)],[c_1547,c_892]) ).
cnf(c_2784,plain,
( op1(e10,e13) != e10
| ~ defn_40 ),
inference(copy,[status(thm)],[c_5178]) ).
cnf(c_5179,plain,
e13 != op1(e10,e13),
inference(paramod,[status(thm)],[c_1547,c_156]) ).
cnf(c_2823,plain,
op1(e10,e13) != e13,
inference(copy,[status(thm)],[c_5179]) ).
cnf(c_5180,plain,
e13 != op1(e10,e12),
inference(paramod,[status(thm)],[c_1547,c_154]) ).
cnf(c_2824,plain,
op1(e10,e12) != e13,
inference(copy,[status(thm)],[c_5180]) ).
cnf(c_5181,plain,
e13 != op1(e10,e11),
inference(paramod,[status(thm)],[c_1547,c_152]) ).
cnf(c_2825,plain,
op1(e10,e11) != e13,
inference(copy,[status(thm)],[c_5181]) ).
cnf(c_5182,plain,
e13 != op1(e11,e10),
inference(paramod,[status(thm)],[c_1547,c_116]) ).
cnf(c_2827,plain,
op1(e11,e10) != e13,
inference(copy,[status(thm)],[c_5182]) ).
cnf(c_5183,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| e13 = e11 ),
inference(paramod,[status(thm)],[c_1547,c_38]) ).
cnf(c_5184,plain,
( e12 = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| e13 = e11 ),
inference(paramod,[status(thm)],[c_2782,c_5183]) ).
cnf(c_5185,plain,
( e12 = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11 ),
inference(resolve,[status(thm)],[c_266,c_5184]) ).
cnf(c_2829,plain,
( op1(e12,e10) = e11
| op1(e11,e10) = e11 ),
inference(resolve,[status(thm)],[c_265,c_5185]) ).
cnf(c_5186,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| e13 = e11 ),
inference(paramod,[status(thm)],[c_1547,c_37]) ).
cnf(c_2830,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[status(thm)],[c_266,c_5186]) ).
cnf(c_5187,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| e13 = e10 ),
inference(paramod,[status(thm)],[c_1547,c_36]) ).
cnf(c_5188,plain,
( e12 = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| e13 = e10 ),
inference(paramod,[status(thm)],[c_2782,c_5187]) ).
cnf(c_5189,plain,
( e12 = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| e10 = e13 ),
inference(copy,[status(thm)],[c_5188]) ).
cnf(c_5190,plain,
( e10 = e12
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| e10 = e13 ),
inference(copy,[status(thm)],[c_5189]) ).
cnf(c_5191,plain,
( e10 = e12
| op1(e12,e10) = e10
| op1(e11,e10) = e10 ),
inference(resolve,[status(thm)],[c_264,c_5190]) ).
cnf(c_5192,plain,
( e10 = e12
| op1(e12,e10) = e10 ),
inference(resolve,[status(thm)],[c_2772,c_5191]) ).
cnf(c_2831,plain,
op1(e12,e10) = e10,
inference(resolve,[status(thm)],[c_262,c_5192]) ).
cnf(c_5193,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| e13 = e10 ),
inference(paramod,[status(thm)],[c_1547,c_35]) ).
cnf(c_5194,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| e10 = e13 ),
inference(copy,[status(thm)],[c_5193]) ).
cnf(c_5195,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_264,c_5194]) ).
cnf(c_2832,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[status(thm)],[c_2775,c_5195]) ).
cnf(c_5196,plain,
( e20 != e20
| op2(e21,e20) != e21
| ~ defn_180 ),
inference(paramod,[status(thm)],[c_1548,c_1491]) ).
cnf(c_2835,plain,
( op2(e21,e20) != e21
| ~ defn_180 ),
inference(copy,[status(thm)],[c_5196]) ).
cnf(c_5197,plain,
( op2(e22,e22) != e22
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| h2(e12) = e23
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(paramod,[status(thm)],[c_1564,c_1282]) ).
cnf(c_5198,plain,
( op2(e22,e22) != e22
| e20 != e20
| op2(e21,e20) != e21
| h2(e12) = e23
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(paramod,[status(thm)],[c_1548,c_5197]) ).
cnf(c_5199,plain,
( h3(e10) != e22
| e20 != e20
| op2(e21,e20) != e21
| h2(e12) = e23
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(paramod,[status(thm)],[c_1569,c_5198]) ).
cnf(c_2849,plain,
( h3(e10) != e22
| op2(e21,e20) != e21
| h2(e12) = e23
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(copy,[status(thm)],[c_5199]) ).
cnf(c_5200,plain,
( op2(e23,e22) = e23
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| h2(e12) = e23
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(paramod,[status(thm)],[c_1564,c_1278]) ).
cnf(c_5201,plain,
( op2(e23,e22) = e23
| e20 != e20
| op2(e21,e20) != e21
| h2(e12) = e23
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(paramod,[status(thm)],[c_1548,c_5200]) ).
cnf(c_2853,plain,
( op2(e23,e22) = e23
| op2(e21,e20) != e21
| h2(e12) = e23
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(copy,[status(thm)],[c_5201]) ).
cnf(c_2886,plain,
op2(e21,e20) != e20,
inference(paramod,[status(thm)],[c_1548,c_233]) ).
cnf(c_2887,plain,
op2(e23,e21) != e20,
inference(paramod,[status(thm)],[c_1548,c_203]) ).
cnf(c_2889,plain,
op2(e20,e21) != e20,
inference(paramod,[status(thm)],[c_1548,c_197]) ).
cnf(c_5202,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| e20 = e22
| op2(e20,e21) = e22 ),
inference(paramod,[status(thm)],[c_1548,c_96]) ).
cnf(c_2892,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e20,e21) = e22 ),
inference(resolve,[status(thm)],[c_271,c_5202]) ).
cnf(c_5203,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| e20 = e22
| op2(e21,e20) = e22 ),
inference(paramod,[status(thm)],[c_1548,c_95]) ).
cnf(c_2893,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e20) = e22 ),
inference(resolve,[status(thm)],[c_271,c_5203]) ).
cnf(c_5204,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| e20 = e21
| op2(e20,e21) = e21 ),
inference(paramod,[status(thm)],[c_1548,c_94]) ).
cnf(c_2894,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e20,e21) = e21 ),
inference(resolve,[status(thm)],[c_269,c_5204]) ).
cnf(c_5205,plain,
op2(e23,e20) = e22,
inference(paramod,[status(thm)],[c_1552,c_1550]) ).
cnf(c_2896,plain,
h2(e12) = e22,
inference(paramod,[status(thm)],[c_1564,c_5205]) ).
cnf(c_5206,plain,
( e23 != e23
| op2(e20,e23) != e20
| ~ defn_140 ),
inference(paramod,[status(thm)],[c_1552,c_1512]) ).
cnf(c_2898,plain,
( op2(e20,e23) != e20
| ~ defn_140 ),
inference(copy,[status(thm)],[c_5206]) ).
cnf(c_5207,plain,
( op2(e20,e23) = e20
| op2(e20,e20) != e23
| op2(e22,op2(e22,e22)) = e22
| op2(e22,e21) = e22
| h3(e10) != e21
| defn_100 ),
inference(paramod,[status(thm)],[c_1569,c_1186]) ).
cnf(c_5208,plain,
( op2(e20,e23) = e20
| op2(e20,e20) != e23
| op2(e22,h3(e10)) = e22
| op2(e22,e21) = e22
| h3(e10) != e21
| defn_100 ),
inference(paramod,[status(thm)],[c_1569,c_5207]) ).
cnf(c_5209,plain,
( op2(e20,e23) = e20
| e23 != e23
| op2(e22,h3(e10)) = e22
| op2(e22,e21) = e22
| h3(e10) != e21
| defn_100 ),
inference(paramod,[status(thm)],[c_1552,c_5208]) ).
cnf(c_2919,plain,
( op2(e20,e23) = e20
| op2(e22,h3(e10)) = e22
| op2(e22,e21) = e22
| h3(e10) != e21
| defn_100 ),
inference(copy,[status(thm)],[c_5209]) ).
cnf(c_5210,plain,
e23 != op2(e20,e23),
inference(paramod,[status(thm)],[c_1552,c_228]) ).
cnf(c_2937,plain,
op2(e20,e23) != e23,
inference(copy,[status(thm)],[c_5210]) ).
cnf(c_5211,plain,
e23 != op2(e20,e21),
inference(paramod,[status(thm)],[c_1552,c_224]) ).
cnf(c_2939,plain,
op2(e20,e21) != e23,
inference(copy,[status(thm)],[c_5211]) ).
cnf(c_5212,plain,
e23 != op2(e21,e20),
inference(paramod,[status(thm)],[c_1552,c_188]) ).
cnf(c_2941,plain,
op2(e21,e20) != e23,
inference(copy,[status(thm)],[c_5212]) ).
cnf(c_5213,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| e23 = e22 ),
inference(paramod,[status(thm)],[c_1552,c_87]) ).
cnf(c_2942,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22 ),
inference(resolve,[status(thm)],[c_276,c_5213]) ).
cnf(c_5214,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| e23 = e21 ),
inference(paramod,[status(thm)],[c_1552,c_85]) ).
cnf(c_2944,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21 ),
inference(resolve,[status(thm)],[c_275,c_5214]) ).
cnf(c_5215,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| e23 = e20 ),
inference(paramod,[status(thm)],[c_1552,c_84]) ).
cnf(c_5216,plain,
( h2(e12) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| e23 = e20 ),
inference(paramod,[status(thm)],[c_1564,c_5215]) ).
cnf(c_5217,plain,
( e22 = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| e23 = e20 ),
inference(paramod,[status(thm)],[c_2896,c_5216]) ).
cnf(c_5218,plain,
( e22 = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| e20 = e23 ),
inference(copy,[status(thm)],[c_5217]) ).
cnf(c_5219,plain,
( e20 = e22
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| e20 = e23 ),
inference(copy,[status(thm)],[c_5218]) ).
cnf(c_5220,plain,
( e20 = e22
| op2(e22,e20) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[status(thm)],[c_273,c_5219]) ).
cnf(c_5221,plain,
( e20 = e22
| op2(e22,e20) = e20 ),
inference(resolve,[status(thm)],[c_2886,c_5220]) ).
cnf(c_2945,plain,
op2(e22,e20) = e20,
inference(resolve,[status(thm)],[c_271,c_5221]) ).
cnf(c_5222,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| e23 = e20 ),
inference(paramod,[status(thm)],[c_1552,c_83]) ).
cnf(c_5223,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| e20 = e23 ),
inference(copy,[status(thm)],[c_5222]) ).
cnf(c_5224,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20 ),
inference(resolve,[status(thm)],[c_273,c_5223]) ).
cnf(c_2946,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[status(thm)],[c_2889,c_5224]) ).
cnf(c_2947,plain,
op2(h1(e13),e23) = h1(e12),
inference(paramod,[status(thm)],[c_1559,c_1557]) ).
cnf(c_5225,plain,
( op2(e23,e20) = e23
| h1(e13) != e20
| ~ defn_100 ),
inference(paramod,[status(thm)],[c_1559,c_1536]) ).
cnf(c_5226,plain,
( h2(e12) = e23
| h1(e13) != e20
| ~ defn_100 ),
inference(paramod,[status(thm)],[c_1564,c_5225]) ).
cnf(c_5227,plain,
( e22 = e23
| h1(e13) != e20
| ~ defn_100 ),
inference(paramod,[status(thm)],[c_2896,c_5226]) ).
cnf(c_5228,plain,
( e23 = e22
| h1(e13) != e20
| ~ defn_100 ),
inference(copy,[status(thm)],[c_5227]) ).
cnf(c_2948,plain,
( h1(e13) != e20
| ~ defn_100 ),
inference(resolve,[status(thm)],[c_276,c_5228]) ).
cnf(c_5229,plain,
h1(e13) != op2(e23,e22),
inference(paramod,[status(thm)],[c_1559,c_258]) ).
cnf(c_3010,plain,
op2(e23,e22) != h1(e13),
inference(copy,[status(thm)],[c_5229]) ).
cnf(c_5230,plain,
h2(e12) != op2(e23,e23),
inference(paramod,[status(thm)],[c_1564,c_255]) ).
cnf(c_5231,plain,
e22 != op2(e23,e23),
inference(paramod,[status(thm)],[c_2896,c_5230]) ).
cnf(c_5232,plain,
e22 != h1(e13),
inference(paramod,[status(thm)],[c_1559,c_5231]) ).
cnf(c_3012,plain,
h1(e13) != e22,
inference(copy,[status(thm)],[c_5232]) ).
cnf(c_3015,plain,
op2(e20,e23) != h1(e13),
inference(paramod,[status(thm)],[c_1559,c_219]) ).
cnf(c_5233,plain,
( h1(e13) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(paramod,[status(thm)],[c_1559,c_114]) ).
cnf(c_3016,plain,
( h1(e13) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[status(thm)],[c_2937,c_5233]) ).
cnf(c_5234,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| h2(e12) = e23 ),
inference(paramod,[status(thm)],[c_1564,c_113]) ).
cnf(c_5235,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| e22 = e23 ),
inference(paramod,[status(thm)],[c_2896,c_5234]) ).
cnf(c_5236,plain,
( h1(e13) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| e22 = e23 ),
inference(paramod,[status(thm)],[c_1559,c_5235]) ).
cnf(c_5237,plain,
( h1(e13) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| e23 = e22 ),
inference(copy,[status(thm)],[c_5236]) ).
cnf(c_3017,plain,
( h1(e13) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[status(thm)],[c_276,c_5237]) ).
cnf(c_3019,plain,
( h1(e13) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 ),
inference(paramod,[status(thm)],[c_1559,c_110]) ).
cnf(c_5238,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| h2(e12) = e20 ),
inference(paramod,[status(thm)],[c_1564,c_107]) ).
cnf(c_5239,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| e22 = e20 ),
inference(paramod,[status(thm)],[c_2896,c_5238]) ).
cnf(c_5240,plain,
( h1(e13) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| e22 = e20 ),
inference(paramod,[status(thm)],[c_1559,c_5239]) ).
cnf(c_5241,plain,
( h1(e13) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| e20 = e22 ),
inference(copy,[status(thm)],[c_5240]) ).
cnf(c_5242,plain,
( h1(e13) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20 ),
inference(resolve,[status(thm)],[c_271,c_5241]) ).
cnf(c_3022,plain,
( h1(e13) = e20
| op2(e23,e22) = e20 ),
inference(resolve,[status(thm)],[c_2887,c_5242]) ).
cnf(c_5243,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| h1(e13) = e20 ),
inference(paramod,[status(thm)],[c_1559,c_82]) ).
cnf(c_5244,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| h1(e13) = e21
| h1(e13) = e20 ),
inference(paramod,[status(thm)],[c_1559,c_5243]) ).
cnf(c_5245,plain,
( op2(e23,e23) = e23
| h1(e13) = e22
| h1(e13) = e21
| h1(e13) = e20 ),
inference(paramod,[status(thm)],[c_1559,c_5244]) ).
cnf(c_5246,plain,
( h1(e13) = e23
| h1(e13) = e22
| h1(e13) = e21
| h1(e13) = e20 ),
inference(paramod,[status(thm)],[c_1559,c_5245]) ).
cnf(c_3023,plain,
( h1(e13) = e23
| h1(e13) = e21
| h1(e13) = e20 ),
inference(resolve,[status(thm)],[c_3012,c_5246]) ).
cnf(c_5247,plain,
( h2(e12) = e20
| ~ defn_130 ),
inference(paramod,[status(thm)],[c_1564,c_1522]) ).
cnf(c_5248,plain,
( e22 = e20
| ~ defn_130 ),
inference(paramod,[status(thm)],[c_2896,c_5247]) ).
cnf(c_5249,plain,
( e20 = e22
| ~ defn_130 ),
inference(copy,[status(thm)],[c_5248]) ).
cnf(c_3024,plain,
~ defn_130,
inference(resolve,[status(thm)],[c_271,c_5249]) ).
cnf(c_5250,plain,
h2(e12) != op2(e23,e22),
inference(paramod,[status(thm)],[c_1564,c_253]) ).
cnf(c_5251,plain,
e22 != op2(e23,e22),
inference(paramod,[status(thm)],[c_2896,c_5250]) ).
cnf(c_3047,plain,
op2(e23,e22) != e22,
inference(copy,[status(thm)],[c_5251]) ).
cnf(c_5252,plain,
h2(e12) != op2(e23,e21),
inference(paramod,[status(thm)],[c_1564,c_251]) ).
cnf(c_5253,plain,
e22 != op2(e23,e21),
inference(paramod,[status(thm)],[c_2896,c_5252]) ).
cnf(c_3048,plain,
op2(e23,e21) != e22,
inference(copy,[status(thm)],[c_5253]) ).
cnf(c_5254,plain,
h2(e12) != op2(e21,e20),
inference(paramod,[status(thm)],[c_1564,c_194]) ).
cnf(c_5255,plain,
e22 != op2(e21,e20),
inference(paramod,[status(thm)],[c_2896,c_5254]) ).
cnf(c_3049,plain,
op2(e21,e20) != e22,
inference(copy,[status(thm)],[c_5255]) ).
cnf(c_3052,plain,
( h3(e10) != e22
| ~ defn_120 ),
inference(paramod,[status(thm)],[c_1569,c_1525]) ).
cnf(c_3053,plain,
( h3(e10) != e23
| op2(e22,e23) != e22
| ~ defn_120 ),
inference(paramod,[status(thm)],[c_1569,c_1524]) ).
cnf(c_5256,plain,
e20 != op2(e22,e22),
inference(paramod,[status(thm)],[c_2945,c_244]) ).
cnf(c_5257,plain,
e20 != h3(e10),
inference(paramod,[status(thm)],[c_1569,c_5256]) ).
cnf(c_3083,plain,
h3(e10) != e20,
inference(copy,[status(thm)],[c_5257]) ).
cnf(c_3084,plain,
op2(e23,e22) != h3(e10),
inference(paramod,[status(thm)],[c_1569,c_213]) ).
cnf(c_5258,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| e20 = e23 ),
inference(paramod,[status(thm)],[c_2945,c_105]) ).
cnf(c_5259,plain,
( op2(e22,e23) = e23
| h3(e10) = e23
| op2(e22,e21) = e23
| e20 = e23 ),
inference(paramod,[status(thm)],[c_1569,c_5258]) ).
cnf(c_3088,plain,
( op2(e22,e23) = e23
| h3(e10) = e23
| op2(e22,e21) = e23 ),
inference(resolve,[status(thm)],[c_273,c_5259]) ).
cnf(c_5260,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| e20 = e22 ),
inference(paramod,[status(thm)],[c_2945,c_103]) ).
cnf(c_5261,plain,
( op2(e22,e23) = e22
| h3(e10) = e22
| op2(e22,e21) = e22
| e20 = e22 ),
inference(paramod,[status(thm)],[c_1569,c_5260]) ).
cnf(c_3090,plain,
( op2(e22,e23) = e22
| h3(e10) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[status(thm)],[c_271,c_5261]) ).
cnf(c_3091,plain,
( op2(e23,e22) = e21
| h3(e10) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(paramod,[status(thm)],[c_1569,c_102]) ).
cnf(c_5262,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| h3(e10) = e20 ),
inference(paramod,[status(thm)],[c_1569,c_77]) ).
cnf(c_5263,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| h3(e10) = e21
| h3(e10) = e20 ),
inference(paramod,[status(thm)],[c_1569,c_5262]) ).
cnf(c_5264,plain,
( op2(e22,e22) = e23
| h3(e10) = e22
| h3(e10) = e21
| h3(e10) = e20 ),
inference(paramod,[status(thm)],[c_1569,c_5263]) ).
cnf(c_5265,plain,
( h3(e10) = e23
| h3(e10) = e22
| h3(e10) = e21
| h3(e10) = e20 ),
inference(paramod,[status(thm)],[c_1569,c_5264]) ).
cnf(c_3094,plain,
( h3(e10) = e23
| h3(e10) = e22
| h3(e10) = e21 ),
inference(resolve,[status(thm)],[c_3083,c_5265]) ).
cnf(c_3097,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e10,e13) = e10 ),
inference(resolve,[status(thm)],[c_2770,c_60]) ).
cnf(c_3099,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[status(thm)],[c_2771,c_52]) ).
cnf(c_3100,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11 ),
inference(resolve,[status(thm)],[c_2771,c_25]) ).
cnf(c_3101,plain,
~ defn_10,
inference(resolve,[status(thm)],[c_2772,c_914]) ).
cnf(c_3104,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11 ),
inference(resolve,[status(thm)],[c_2773,c_32]) ).
cnf(c_5266,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11 ),
inference(resolve,[status(thm)],[c_2775,c_20]) ).
cnf(c_3106,plain,
( op1(e10,e11) = e12
| op1(e10,e11) = e11 ),
inference(resolve,[status(thm)],[c_2825,c_5266]) ).
cnf(c_5267,plain,
( op1(e13,e12) = e13
| op1(e11,e10) != e11
| e12 = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(paramod,[status(thm)],[c_2782,c_2739]) ).
cnf(c_5268,plain,
( op1(e13,e12) = e13
| op1(e11,e10) != e11
| e13 = e12
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(copy,[status(thm)],[c_5267]) ).
cnf(c_5269,plain,
( op1(e13,e12) = e13
| op1(e11,e10) != e11
| e13 = e12
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20 ),
inference(resolve,[status(thm)],[c_3101,c_5268]) ).
cnf(c_3111,plain,
( op1(e13,e12) = e13
| op1(e11,e10) != e11
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20 ),
inference(resolve,[status(thm)],[c_267,c_5269]) ).
cnf(c_5270,plain,
( op1(e12,e13) = e13
| op1(e11,e10) != e11
| e12 = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(paramod,[status(thm)],[c_2782,c_2738]) ).
cnf(c_5271,plain,
( op1(e12,e13) = e13
| op1(e11,e10) != e11
| e13 = e12
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(copy,[status(thm)],[c_5270]) ).
cnf(c_5272,plain,
( op1(e12,e13) = e13
| op1(e11,e10) != e11
| e13 = e12
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20 ),
inference(resolve,[status(thm)],[c_3101,c_5271]) ).
cnf(c_3112,plain,
( op1(e12,e13) = e13
| op1(e11,e10) != e11
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20 ),
inference(resolve,[status(thm)],[c_267,c_5272]) ).
cnf(c_5273,plain,
( op1(e12,e12) != e12
| op1(e11,e10) != e11
| e12 = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(paramod,[status(thm)],[c_2782,c_2735]) ).
cnf(c_5274,plain,
( op1(e12,e12) != e12
| op1(e11,e10) != e11
| e13 = e12
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(copy,[status(thm)],[c_5273]) ).
cnf(c_5275,plain,
( op1(e12,e12) != e12
| op1(e11,e10) != e11
| e13 = e12
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20 ),
inference(resolve,[status(thm)],[c_3101,c_5274]) ).
cnf(c_3114,plain,
( op1(e12,e12) != e12
| op1(e11,e10) != e11
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20 ),
inference(resolve,[status(thm)],[c_267,c_5275]) ).
cnf(c_5276,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2896,c_1870]) ).
cnf(c_5277,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2896,c_5276]) ).
cnf(c_5278,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(e10) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2831,c_5277]) ).
cnf(c_5279,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| e20 != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_1562,c_5278]) ).
cnf(c_5280,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| e20 != op2(e22,e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2896,c_5279]) ).
cnf(c_5281,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| e20 != e20
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2945,c_5280]) ).
cnf(c_5282,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e22,e21)
| e20 != e20
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2896,c_5281]) ).
cnf(c_5283,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(e22,h2(e12)) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e22,e21)
| e20 != e20
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2896,c_5282]) ).
cnf(c_5284,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| op2(e22,e22) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e22,e21)
| e20 != e20
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2896,c_5283]) ).
cnf(c_5285,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h3(e10) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e22,e21)
| e20 != e20
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_1569,c_5284]) ).
cnf(c_5286,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != h2(e12)
| h2(op1(e12,e13)) != op2(e22,e23)
| h3(e10) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e22,e21)
| e20 != e20
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2896,c_5285]) ).
cnf(c_5287,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(e12) != h2(e12)
| h2(op1(e12,e13)) != op2(e22,e23)
| h3(e10) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e22,e21)
| e20 != e20
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2782,c_5286]) ).
cnf(c_5288,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| e22 != h2(e12)
| h2(op1(e12,e13)) != op2(e22,e23)
| h3(e10) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e22,e21)
| e20 != e20
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2896,c_5287]) ).
cnf(c_5289,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,e21)
| e22 != e22
| h2(op1(e12,e13)) != op2(e22,e23)
| h3(e10) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e22,e21)
| e20 != e20
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2896,c_5288]) ).
cnf(c_5290,negated_conjecture,
( h2(e12) != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| e22 != e22
| h2(op1(e12,e13)) != op2(e22,e23)
| h3(e10) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e22,e21)
| e20 != e20
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2896,c_5289]) ).
cnf(c_5291,negated_conjecture,
( e22 != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| e22 != e22
| h2(op1(e12,e13)) != op2(e22,e23)
| h3(e10) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e22,e21)
| e20 != e20
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2896,c_5290]) ).
cnf(c_5292,negated_conjecture,
( e22 != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| e22 != e22
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| e20 != e20
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(copy,[status(thm)],[c_5291]) ).
cnf(c_5293,negated_conjecture,
( e22 != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| e22 != e22
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(copy,[status(thm)],[c_5292]) ).
cnf(c_5294,negated_conjecture,
( e22 != e22
| h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(copy,[status(thm)],[c_5293]) ).
cnf(c_3152,negated_conjecture,
( h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(copy,[status(thm)],[c_5294]) ).
cnf(c_5295,plain,
( e12 = e10
| ~ defn_30 ),
inference(paramod,[status(thm)],[c_2782,c_902]) ).
cnf(c_5296,plain,
( e10 = e12
| ~ defn_30 ),
inference(copy,[status(thm)],[c_5295]) ).
cnf(c_3156,plain,
~ defn_30,
inference(resolve,[status(thm)],[c_262,c_5296]) ).
cnf(c_3173,plain,
( op1(e13,e12) = e10
| op1(e12,op1(e12,e12)) = e12
| op1(e12,e11) = e12
| op1(e12,e12) != e11
| defn_00 ),
inference(paramod,[status(thm)],[c_2782,c_562]) ).
cnf(c_5297,plain,
e12 != op1(e13,e13),
inference(paramod,[status(thm)],[c_2782,c_183]) ).
cnf(c_3187,plain,
op1(e13,e13) != e12,
inference(copy,[status(thm)],[c_5297]) ).
cnf(c_5298,plain,
e12 != op1(e13,e12),
inference(paramod,[status(thm)],[c_2782,c_181]) ).
cnf(c_3188,plain,
op1(e13,e12) != e12,
inference(copy,[status(thm)],[c_5298]) ).
cnf(c_5299,plain,
e12 != op1(e13,e11),
inference(paramod,[status(thm)],[c_2782,c_179]) ).
cnf(c_3189,plain,
op1(e13,e11) != e12,
inference(copy,[status(thm)],[c_5299]) ).
cnf(c_3199,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(resolve,[status(thm)],[c_2823,c_22]) ).
cnf(c_3200,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13 ),
inference(resolve,[status(thm)],[c_2824,c_58]) ).
cnf(c_3202,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[status(thm)],[c_2825,c_2776]) ).
cnf(c_3204,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13 ),
inference(resolve,[status(thm)],[c_2827,c_2777]) ).
cnf(c_5300,plain,
( e10 = e11
| op1(e11,e10) = e11 ),
inference(paramod,[status(thm)],[c_2831,c_2829]) ).
cnf(c_3205,plain,
op1(e11,e10) = e11,
inference(resolve,[status(thm)],[c_260,c_5300]) ).
cnf(c_5301,plain,
( e10 = e12
| ~ defn_70 ),
inference(paramod,[status(thm)],[c_2831,c_879]) ).
cnf(c_3207,plain,
~ defn_70,
inference(resolve,[status(thm)],[c_262,c_5301]) ).
cnf(c_5302,plain,
e10 != op1(e12,e13),
inference(paramod,[status(thm)],[c_2831,c_174]) ).
cnf(c_3208,plain,
op1(e12,e13) != e10,
inference(copy,[status(thm)],[c_5302]) ).
cnf(c_5303,plain,
e10 != op1(e12,e12),
inference(paramod,[status(thm)],[c_2831,c_172]) ).
cnf(c_3209,plain,
op1(e12,e12) != e10,
inference(copy,[status(thm)],[c_5303]) ).
cnf(c_5304,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| e10 = e12 ),
inference(paramod,[status(thm)],[c_2831,c_55]) ).
cnf(c_3210,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[status(thm)],[c_262,c_5304]) ).
cnf(c_3214,plain,
~ defn_110,
inference(resolve,[status(thm)],[c_2886,c_1534]) ).
cnf(c_5305,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21 ),
inference(resolve,[status(thm)],[c_2886,c_71]) ).
cnf(c_5306,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e21 ),
inference(resolve,[status(thm)],[c_3049,c_5305]) ).
cnf(c_3215,plain,
op2(e21,e20) = e21,
inference(resolve,[status(thm)],[c_2941,c_5306]) ).
cnf(c_5307,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21 ),
inference(resolve,[status(thm)],[c_2889,c_68]) ).
cnf(c_3218,plain,
( op2(e20,e21) = e22
| op2(e20,e21) = e21 ),
inference(resolve,[status(thm)],[c_2939,c_5307]) ).
cnf(c_5308,plain,
( op2(e23,e22) = e23
| op2(e21,e20) != e21
| e22 = e23
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(paramod,[status(thm)],[c_2896,c_2853]) ).
cnf(c_5309,plain,
( op2(e23,e22) = e23
| e21 != e21
| e22 = e23
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(paramod,[status(thm)],[c_3215,c_5308]) ).
cnf(c_5310,plain,
( op2(e23,e22) = e23
| e21 != e21
| e23 = e22
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(copy,[status(thm)],[c_5309]) ).
cnf(c_5311,plain,
( op2(e23,e22) = e23
| e23 = e22
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(copy,[status(thm)],[c_5310]) ).
cnf(c_5312,plain,
( op2(e23,e22) = e23
| e23 = e22
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120 ),
inference(resolve,[status(thm)],[c_3214,c_5311]) ).
cnf(c_5313,plain,
( op2(e23,e22) = e23
| e23 = e22
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_120 ),
inference(resolve,[status(thm)],[c_3024,c_5312]) ).
cnf(c_3219,plain,
( op2(e23,e22) = e23
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_120 ),
inference(resolve,[status(thm)],[c_276,c_5313]) ).
cnf(c_5314,plain,
( h3(e10) != e22
| op2(e21,e20) != e21
| e22 = e23
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(paramod,[status(thm)],[c_2896,c_2849]) ).
cnf(c_5315,plain,
( h3(e10) != e22
| e21 != e21
| e22 = e23
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(paramod,[status(thm)],[c_3215,c_5314]) ).
cnf(c_5316,plain,
( h3(e10) != e22
| e21 != e21
| e23 = e22
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(copy,[status(thm)],[c_5315]) ).
cnf(c_5317,plain,
( h3(e10) != e22
| e23 = e22
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(copy,[status(thm)],[c_5316]) ).
cnf(c_5318,plain,
( h3(e10) != e22
| e23 = e22
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120 ),
inference(resolve,[status(thm)],[c_3214,c_5317]) ).
cnf(c_5319,plain,
( h3(e10) != e22
| e23 = e22
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_120 ),
inference(resolve,[status(thm)],[c_3024,c_5318]) ).
cnf(c_3222,plain,
( h3(e10) != e22
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_120 ),
inference(resolve,[status(thm)],[c_276,c_5319]) ).
cnf(c_3225,plain,
( op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(resolve,[status(thm)],[c_2937,c_70]) ).
cnf(c_5320,plain,
( e20 = e22
| ~ defn_170 ),
inference(paramod,[status(thm)],[c_2945,c_1499]) ).
cnf(c_3229,plain,
~ defn_170,
inference(resolve,[status(thm)],[c_271,c_5320]) ).
cnf(c_3246,plain,
~ defn_190,
inference(resolve,[status(thm)],[c_3047,c_1486]) ).
cnf(c_3247,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(resolve,[status(thm)],[c_3047,c_81]) ).
cnf(c_3248,plain,
( op2(e22,e21) = e22
| op2(e20,e21) = e22 ),
inference(resolve,[status(thm)],[c_3048,c_2892]) ).
cnf(c_5321,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| e21 = e22 ),
inference(paramod,[status(thm)],[c_3215,c_2893]) ).
cnf(c_5322,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| e22 = e21 ),
inference(copy,[status(thm)],[c_5321]) ).
cnf(c_3249,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[status(thm)],[c_274,c_5322]) ).
cnf(c_5323,plain,
( op1(e12,e12) != e12
| e11 != e11
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20 ),
inference(paramod,[status(thm)],[c_3205,c_3114]) ).
cnf(c_5324,plain,
( op1(e12,e12) != e12
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20 ),
inference(copy,[status(thm)],[c_5323]) ).
cnf(c_5325,plain,
( op1(e12,e12) != e12
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3156,c_5324]) ).
cnf(c_3266,plain,
( op1(e12,e12) != e12
| defn_90
| defn_80
| defn_60
| defn_50
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3207,c_5325]) ).
cnf(c_5326,plain,
( op1(e12,e13) = e13
| e11 != e11
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20 ),
inference(paramod,[status(thm)],[c_3205,c_3112]) ).
cnf(c_5327,plain,
( op1(e12,e13) = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20 ),
inference(copy,[status(thm)],[c_5326]) ).
cnf(c_5328,plain,
( op1(e12,e13) = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3156,c_5327]) ).
cnf(c_3268,plain,
( op1(e12,e13) = e13
| defn_90
| defn_80
| defn_60
| defn_50
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3207,c_5328]) ).
cnf(c_5329,plain,
( op1(e13,e12) = e13
| e11 != e11
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20 ),
inference(paramod,[status(thm)],[c_3205,c_3111]) ).
cnf(c_5330,plain,
( op1(e13,e12) = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20 ),
inference(copy,[status(thm)],[c_5329]) ).
cnf(c_5331,plain,
( op1(e13,e12) = e13
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3156,c_5330]) ).
cnf(c_3269,plain,
( op1(e13,e12) = e13
| defn_90
| defn_80
| defn_60
| defn_50
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3207,c_5331]) ).
cnf(c_3270,plain,
( op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(resolve,[status(thm)],[c_3187,c_64]) ).
cnf(c_3272,plain,
~ defn_90,
inference(resolve,[status(thm)],[c_3188,c_866]) ).
cnf(c_3273,plain,
( op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[status(thm)],[c_3188,c_56]) ).
cnf(c_3274,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(resolve,[status(thm)],[c_3188,c_33]) ).
cnf(c_3275,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e11 ),
inference(resolve,[status(thm)],[c_3189,c_3104]) ).
cnf(c_3276,plain,
( op1(e12,e11) = e12
| op1(e10,e11) = e12 ),
inference(resolve,[status(thm)],[c_3189,c_2778]) ).
cnf(c_5332,negated_conjecture,
( h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(e11) != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_3205,c_3152]) ).
cnf(c_5333,negated_conjecture,
( h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e21 != op2(e21,e20)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_1560,c_5332]) ).
cnf(c_5334,negated_conjecture,
( h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e21 != e21
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_3215,c_5333]) ).
cnf(c_3285,negated_conjecture,
( h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(copy,[status(thm)],[c_5334]) ).
cnf(c_5335,plain,
( e11 != e11
| ~ defn_80 ),
inference(paramod,[status(thm)],[c_3205,c_2721]) ).
cnf(c_3322,plain,
~ defn_80,
inference(copy,[status(thm)],[c_5335]) ).
cnf(c_5336,plain,
e11 != op1(e11,e13),
inference(paramod,[status(thm)],[c_3205,c_165]) ).
cnf(c_3323,plain,
op1(e11,e13) != e11,
inference(copy,[status(thm)],[c_5336]) ).
cnf(c_5337,plain,
e11 != op1(e11,e12),
inference(paramod,[status(thm)],[c_3205,c_163]) ).
cnf(c_3324,plain,
op1(e11,e12) != e11,
inference(copy,[status(thm)],[c_5337]) ).
cnf(c_3335,plain,
( op1(e13,e13) = e10
| op1(e10,e13) = e10 ),
inference(resolve,[status(thm)],[c_3208,c_3097]) ).
cnf(c_3336,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11 ),
inference(resolve,[status(thm)],[c_3208,c_30]) ).
cnf(c_3337,plain,
( op1(e13,e12) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[status(thm)],[c_3209,c_3099]) ).
cnf(c_3338,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11 ),
inference(resolve,[status(thm)],[c_3209,c_29]) ).
cnf(c_5338,plain,
( e21 != e21
| ~ defn_180 ),
inference(paramod,[status(thm)],[c_3215,c_2835]) ).
cnf(c_3349,plain,
~ defn_180,
inference(copy,[status(thm)],[c_5338]) ).
cnf(c_5339,plain,
e21 != op2(e21,e23),
inference(paramod,[status(thm)],[c_3215,c_237]) ).
cnf(c_3350,plain,
op2(e21,e23) != e21,
inference(copy,[status(thm)],[c_5339]) ).
cnf(c_5340,plain,
e21 != op2(e21,e22),
inference(paramod,[status(thm)],[c_3215,c_235]) ).
cnf(c_3351,plain,
op2(e21,e22) != e21,
inference(copy,[status(thm)],[c_5340]) ).
cnf(c_5341,plain,
( h3(e10) != e22
| defn_190
| defn_180
| defn_160
| defn_150
| defn_140
| defn_120 ),
inference(resolve,[status(thm)],[c_3229,c_3222]) ).
cnf(c_5342,plain,
( h3(e10) != e22
| defn_190
| defn_160
| defn_150
| defn_140
| defn_120 ),
inference(resolve,[status(thm)],[c_3349,c_5341]) ).
cnf(c_3353,plain,
( h3(e10) != e22
| defn_160
| defn_150
| defn_140
| defn_120 ),
inference(resolve,[status(thm)],[c_3246,c_5342]) ).
cnf(c_5343,plain,
( op2(e23,e22) = e23
| defn_190
| defn_180
| defn_160
| defn_150
| defn_140
| defn_120 ),
inference(resolve,[status(thm)],[c_3229,c_3219]) ).
cnf(c_5344,plain,
( op2(e23,e22) = e23
| defn_190
| defn_160
| defn_150
| defn_140
| defn_120 ),
inference(resolve,[status(thm)],[c_3349,c_5343]) ).
cnf(c_3356,plain,
( op2(e23,e22) = e23
| defn_160
| defn_150
| defn_140
| defn_120 ),
inference(resolve,[status(thm)],[c_3246,c_5344]) ).
cnf(c_5345,plain,
( op1(e13,e12) = e13
| defn_90
| defn_60
| defn_50
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3322,c_3269]) ).
cnf(c_3359,plain,
( op1(e13,e12) = e13
| defn_60
| defn_50
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3272,c_5345]) ).
cnf(c_5346,plain,
( op1(e12,e13) = e13
| defn_90
| defn_60
| defn_50
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3322,c_3268]) ).
cnf(c_3360,plain,
( op1(e12,e13) = e13
| defn_60
| defn_50
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3272,c_5346]) ).
cnf(c_5347,plain,
( op1(e12,e12) != e12
| defn_90
| defn_60
| defn_50
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3322,c_3266]) ).
cnf(c_3362,plain,
( op1(e12,e12) != e12
| defn_60
| defn_50
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3272,c_5347]) ).
cnf(c_3365,plain,
~ defn_60,
inference(resolve,[status(thm)],[c_3323,c_885]) ).
cnf(c_3366,plain,
( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e10,e13) = e11 ),
inference(resolve,[status(thm)],[c_3323,c_62]) ).
cnf(c_3367,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12 ),
inference(resolve,[status(thm)],[c_3324,c_3100]) ).
cnf(c_3368,plain,
~ defn_50,
inference(resolve,[status(thm)],[c_3324,c_891]) ).
cnf(c_3371,plain,
( h1(e13) = e21
| op2(e22,e23) = e21
| op2(e20,e23) = e21 ),
inference(resolve,[status(thm)],[c_3350,c_3019]) ).
cnf(c_3372,plain,
~ defn_160,
inference(resolve,[status(thm)],[c_3350,c_1505]) ).
cnf(c_3374,plain,
( op2(e23,e22) = e21
| h3(e10) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[status(thm)],[c_3351,c_3091]) ).
cnf(c_3375,plain,
~ defn_150,
inference(resolve,[status(thm)],[c_3351,c_1511]) ).
cnf(c_5348,plain,
( op1(e12,e12) != e12
| defn_60
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3368,c_3362]) ).
cnf(c_3377,plain,
( op1(e12,e12) != e12
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3365,c_5348]) ).
cnf(c_5349,plain,
( op1(e12,e13) = e13
| defn_60
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3368,c_3360]) ).
cnf(c_3379,plain,
( op1(e12,e13) = e13
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3365,c_5349]) ).
cnf(c_5350,plain,
( op1(e13,e12) = e13
| defn_60
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3368,c_3359]) ).
cnf(c_3380,plain,
( op1(e13,e12) = e13
| defn_40
| defn_20 ),
inference(resolve,[status(thm)],[c_3365,c_5350]) ).
cnf(c_5351,plain,
( op2(e23,e22) = e23
| defn_160
| defn_140
| defn_120 ),
inference(resolve,[status(thm)],[c_3375,c_3356]) ).
cnf(c_3381,plain,
( op2(e23,e22) = e23
| defn_140
| defn_120 ),
inference(resolve,[status(thm)],[c_3372,c_5351]) ).
cnf(c_5352,plain,
( h3(e10) != e22
| defn_160
| defn_140
| defn_120 ),
inference(resolve,[status(thm)],[c_3375,c_3353]) ).
cnf(c_3384,plain,
( h3(e10) != e22
| defn_140
| defn_120 ),
inference(resolve,[status(thm)],[c_3372,c_5352]) ).
cnf(c_5353,plain,
( e11 != op1(e12,e13)
| op1(e10,e12) = e11
| op1(e10,e11) = e11 ),
inference(paramod,[status(thm)],[c_2830,c_145]) ).
cnf(c_3492,plain,
( op1(e12,e13) != e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11 ),
inference(copy,[status(thm)],[c_5353]) ).
cnf(c_5354,plain,
( e20 != h1(e13)
| op2(e20,e22) = e20 ),
inference(paramod,[status(thm)],[c_2946,c_3015]) ).
cnf(c_3551,plain,
( h1(e13) != e20
| op2(e20,e22) = e20 ),
inference(copy,[status(thm)],[c_5354]) ).
cnf(c_3559,plain,
( op2(e20,e22) != e20
| h1(e13) = e20 ),
inference(paramod,[status(thm)],[c_3022,c_210]) ).
cnf(c_3578,plain,
( op2(e20,e23) = h1(e12)
| h1(e13) = e23
| h1(e13) = e21 ),
inference(paramod,[status(thm)],[c_3023,c_2947]) ).
cnf(c_5355,plain,
( e23 != h3(e10)
| h1(e13) = e23
| op2(e23,e21) = e23 ),
inference(paramod,[status(thm)],[c_3017,c_3084]) ).
cnf(c_3632,plain,
( h3(e10) != e23
| h1(e13) = e23
| op2(e23,e21) = e23 ),
inference(copy,[status(thm)],[c_5355]) ).
cnf(c_3676,plain,
( op1(e10,e13) != e12
| op1(e10,e11) = e11 ),
inference(paramod,[status(thm)],[c_3106,c_158]) ).
cnf(c_3759,plain,
( op1(e13,e12) != e13
| op1(e12,e11) = e13 ),
inference(paramod,[status(thm)],[c_3202,c_184]) ).
cnf(c_3762,plain,
( op1(e12,e13) != e13
| op1(e11,e12) = e13 ),
inference(paramod,[status(thm)],[c_3204,c_148]) ).
cnf(c_3779,plain,
( op2(e20,e23) != e22
| op2(e20,e21) = e21 ),
inference(paramod,[status(thm)],[c_3218,c_230]) ).
cnf(c_5356,plain,
( e20 != op2(e20,e22)
| op2(e20,e23) = e22
| op2(e20,e23) = e21 ),
inference(paramod,[status(thm)],[c_3225,c_231]) ).
cnf(c_3780,plain,
( op2(e20,e22) != e20
| op2(e20,e23) = e22
| op2(e20,e23) = e21 ),
inference(copy,[status(thm)],[c_5356]) ).
cnf(c_5357,plain,
( e20 != h1(e13)
| op2(e23,e22) = e23
| op2(e23,e22) = e21 ),
inference(paramod,[status(thm)],[c_3247,c_3010]) ).
cnf(c_3789,plain,
( h1(e13) != e20
| op2(e23,e22) = e23
| op2(e23,e22) = e21 ),
inference(copy,[status(thm)],[c_5357]) ).
cnf(c_3793,plain,
( op2(e20,e23) != e22
| op2(e21,e22) = e22 ),
inference(paramod,[status(thm)],[c_3249,c_215]) ).
cnf(c_3824,plain,
( op1(e13,e12) != e13
| op1(e13,e11) = e11 ),
inference(paramod,[status(thm)],[c_3275,c_184]) ).
cnf(c_3827,plain,
( op1(e10,e13) != e12
| op1(e12,e11) = e12 ),
inference(paramod,[status(thm)],[c_3276,c_158]) ).
cnf(c_5358,plain,
( e10 != op1(e10,e12)
| op1(e13,e13) = e10 ),
inference(paramod,[status(thm)],[c_3335,c_159]) ).
cnf(c_3831,plain,
( op1(e10,e12) != e10
| op1(e13,e13) = e10 ),
inference(copy,[status(thm)],[c_5358]) ).
cnf(c_5359,plain,
( op1(e12,e12) = e12
| op1(e11,e12) = e12
| e10 = e12
| op1(e13,e12) = e10 ),
inference(paramod,[status(thm)],[c_3337,c_3273]) ).
cnf(c_3839,plain,
( op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e10 ),
inference(resolve,[status(thm)],[c_262,c_5359]) ).
cnf(c_5360,plain,
( e11 != op1(e10,e11)
| op1(e13,e13) = e11
| op1(e12,e13) = e11 ),
inference(paramod,[status(thm)],[c_3366,c_158]) ).
cnf(c_3860,plain,
( op1(e10,e11) != e11
| op1(e13,e13) = e11
| op1(e12,e13) = e11 ),
inference(copy,[status(thm)],[c_5360]) ).
cnf(c_3867,plain,
( op1(e13,e12) != e13
| op1(e11,e12) = e12 ),
inference(paramod,[status(thm)],[c_3367,c_140]) ).
cnf(c_5361,plain,
( e21 = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| h1(e13) = e21
| op2(e22,e23) = e21 ),
inference(paramod,[status(thm)],[c_3371,c_2942]) ).
cnf(c_5362,plain,
( e22 = e21
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| h1(e13) = e21
| op2(e22,e23) = e21 ),
inference(copy,[status(thm)],[c_5361]) ).
cnf(c_3878,plain,
( op2(e20,e22) = e22
| op2(e20,e21) = e22
| h1(e13) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[status(thm)],[c_274,c_5362]) ).
cnf(c_3892,plain,
( op1(e10,e11) = e11
| op1(e12,e13) = e13
| defn_20 ),
inference(resolve,[status(thm)],[c_3379,c_896]) ).
cnf(c_5363,plain,
( op1(e12,e13) = e13
| defn_20
| op1(e10,e13) != e10 ),
inference(resolve,[status(thm)],[c_2784,c_3379]) ).
cnf(c_3895,plain,
( op1(e10,e12) = e10
| op1(e12,e13) = e13
| defn_20 ),
inference(resolve,[status(thm)],[c_5363,c_2832]) ).
cnf(c_5364,plain,
( op1(e13,e12) = e13
| defn_20
| op1(e10,e13) != e10 ),
inference(resolve,[status(thm)],[c_2784,c_3380]) ).
cnf(c_3900,plain,
( op1(e10,e12) = e10
| op1(e13,e12) = e13
| defn_20 ),
inference(resolve,[status(thm)],[c_5364,c_2832]) ).
cnf(c_3902,plain,
( op2(e20,e21) = e21
| op2(e23,e22) = e23
| defn_120 ),
inference(resolve,[status(thm)],[c_3381,c_1516]) ).
cnf(c_5365,plain,
( op2(e23,e22) = e23
| defn_120
| op2(e20,e23) != e20 ),
inference(resolve,[status(thm)],[c_2898,c_3381]) ).
cnf(c_3905,plain,
( op2(e20,e22) = e20
| op2(e23,e22) = e23
| defn_120 ),
inference(resolve,[status(thm)],[c_5365,c_2946]) ).
cnf(c_3917,plain,
( h1(e13) = e23
| h1(e13) = e21
| op2(e20,e22) = e20 ),
inference(resolve,[status(thm)],[c_3551,c_3023]) ).
cnf(c_3932,plain,
( op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e11) = e11 ),
inference(resolve,[status(thm)],[c_3676,c_3270]) ).
cnf(c_3933,plain,
( op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[status(thm)],[c_3759,c_3200]) ).
cnf(c_3935,plain,
( op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e11,e12) = e13 ),
inference(resolve,[status(thm)],[c_3762,c_3336]) ).
cnf(c_3953,plain,
( op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e13,e11) = e11 ),
inference(resolve,[status(thm)],[c_3824,c_3200]) ).
cnf(c_5366,plain,
( op1(e10,e11) = e11
| op1(e12,e13) = e13
| op1(e12,e12) != e13
| op1(e12,e13) != e12 ),
inference(resolve,[status(thm)],[c_904,c_3892]) ).
cnf(c_5367,plain,
( op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e10,e11) = e11
| op1(e12,e13) = e13
| op1(e12,e12) != e13 ),
inference(resolve,[status(thm)],[c_5366,c_3210]) ).
cnf(c_5368,plain,
( op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e10,e11) = e11
| op1(e12,e13) = e13 ),
inference(resolve,[status(thm)],[c_5367,c_3338]) ).
cnf(c_3995,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e10,e11) = e11
| op1(e12,e13) = e13 ),
inference(copy,[status(thm)],[c_5368]) ).
cnf(c_5369,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e10
| op1(e12,e13) = e13 ),
inference(resolve,[status(thm)],[c_3895,c_909]) ).
cnf(c_4001,plain,
( op1(e10,e12) = e10
| op1(e12,e13) = e13 ),
inference(copy,[status(thm)],[c_5369]) ).
cnf(c_4002,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e13 ),
inference(resolve,[status(thm)],[c_4001,c_3831]) ).
cnf(c_5370,plain,
( e10 != op1(e13,e12)
| op1(e12,e13) = e13 ),
inference(paramod,[status(thm)],[c_4001,c_138]) ).
cnf(c_4003,plain,
( op1(e13,e12) != e10
| op1(e12,e13) = e13 ),
inference(copy,[status(thm)],[c_5370]) ).
cnf(c_4004,plain,
( op1(e10,e13) != e10
| op1(e12,e13) = e13 ),
inference(paramod,[status(thm)],[c_4001,c_159]) ).
cnf(c_4033,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e12,e13) = e13 ),
inference(resolve,[status(thm)],[c_4004,c_3199]) ).
cnf(c_5371,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e10
| op1(e13,e12) = e13 ),
inference(resolve,[status(thm)],[c_3900,c_909]) ).
cnf(c_4055,plain,
( op1(e10,e12) = e10
| op1(e13,e12) = e13 ),
inference(copy,[status(thm)],[c_5371]) ).
cnf(c_5372,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e13 ),
inference(paramod,[status(thm)],[c_4055,c_138]) ).
cnf(c_4057,plain,
( op1(e13,e12) != e10
| op1(e13,e12) = e13 ),
inference(copy,[status(thm)],[c_5372]) ).
cnf(c_5373,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e11
| op1(e13,e12) = e13 ),
inference(resolve,[status(thm)],[c_4057,c_3274]) ).
cnf(c_4085,plain,
( op1(e13,e12) = e11
| op1(e13,e12) = e13 ),
inference(copy,[status(thm)],[c_5373]) ).
cnf(c_4091,plain,
( op1(e11,e12) = e12
| op1(e13,e12) = e11 ),
inference(resolve,[status(thm)],[c_4085,c_3867]) ).
cnf(c_4093,plain,
( op1(e12,e11) = e13
| op1(e13,e12) = e11 ),
inference(resolve,[status(thm)],[c_4085,c_3759]) ).
cnf(c_5374,plain,
( op2(e20,e21) = e21
| op2(e23,e22) = e23
| h3(e10) != e23
| op2(e22,e23) != e22 ),
inference(resolve,[status(thm)],[c_3053,c_3902]) ).
cnf(c_5375,plain,
( h3(e10) = e22
| op2(e22,e21) = e22
| op2(e20,e21) = e21
| op2(e23,e22) = e23
| h3(e10) != e23 ),
inference(resolve,[status(thm)],[c_5374,c_3090]) ).
cnf(c_5376,plain,
( h3(e10) = e22
| h3(e10) = e21
| h3(e10) = e22
| op2(e22,e21) = e22
| op2(e20,e21) = e21
| op2(e23,e22) = e23 ),
inference(resolve,[status(thm)],[c_5375,c_3094]) ).
cnf(c_4133,plain,
( h3(e10) = e21
| h3(e10) = e22
| op2(e22,e21) = e22
| op2(e20,e21) = e21
| op2(e23,e22) = e23 ),
inference(copy,[status(thm)],[c_5376]) ).
cnf(c_5377,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e20
| op2(e23,e22) = e23 ),
inference(resolve,[status(thm)],[c_3905,c_1529]) ).
cnf(c_4141,plain,
( op2(e20,e22) = e20
| op2(e23,e22) = e23 ),
inference(copy,[status(thm)],[c_5377]) ).
cnf(c_4142,plain,
( h1(e13) = e20
| op2(e23,e22) = e23 ),
inference(resolve,[status(thm)],[c_4141,c_3559]) ).
cnf(c_5378,plain,
( h1(e13) = e20
| e23 = e20
| h1(e13) = e20 ),
inference(paramod,[status(thm)],[c_4142,c_3022]) ).
cnf(c_5379,plain,
( h1(e13) = e20
| e20 = e23
| h1(e13) = e20 ),
inference(copy,[status(thm)],[c_5378]) ).
cnf(c_5380,plain,
( e20 = e23
| h1(e13) = e20 ),
inference(copy,[status(thm)],[c_5379]) ).
cnf(c_4153,plain,
h1(e13) = e20,
inference(resolve,[status(thm)],[c_273,c_5380]) ).
cnf(c_5381,plain,
( h1(e13) = e23
| e20 = e21
| op2(e20,e22) = e20 ),
inference(paramod,[status(thm)],[c_4153,c_3917]) ).
cnf(c_5382,plain,
( e20 = e23
| e20 = e21
| op2(e20,e22) = e20 ),
inference(paramod,[status(thm)],[c_4153,c_5381]) ).
cnf(c_5383,plain,
( e20 = e23
| op2(e20,e22) = e20 ),
inference(resolve,[status(thm)],[c_269,c_5382]) ).
cnf(c_4155,plain,
op2(e20,e22) = e20,
inference(resolve,[status(thm)],[c_273,c_5383]) ).
cnf(c_5384,plain,
( op2(e20,e22) = e22
| op2(e20,e21) = e22
| e20 = e21
| op2(e22,e23) = e21 ),
inference(paramod,[status(thm)],[c_4153,c_3878]) ).
cnf(c_5385,plain,
( e20 = e22
| op2(e20,e21) = e22
| e20 = e21
| op2(e22,e23) = e21 ),
inference(paramod,[status(thm)],[c_4155,c_5384]) ).
cnf(c_5386,plain,
( e20 = e22
| op2(e20,e21) = e22
| op2(e22,e23) = e21 ),
inference(resolve,[status(thm)],[c_269,c_5385]) ).
cnf(c_4156,plain,
( op2(e20,e21) = e22
| op2(e22,e23) = e21 ),
inference(resolve,[status(thm)],[c_271,c_5386]) ).
cnf(c_5387,plain,
( e20 != e20
| op2(e23,e22) = e23
| op2(e23,e22) = e21 ),
inference(paramod,[status(thm)],[c_4153,c_3789]) ).
cnf(c_4158,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e21 ),
inference(copy,[status(thm)],[c_5387]) ).
cnf(c_5388,plain,
( h3(e10) != e23
| e20 = e23
| op2(e23,e21) = e23 ),
inference(paramod,[status(thm)],[c_4153,c_3632]) ).
cnf(c_4164,plain,
( h3(e10) != e23
| op2(e23,e21) = e23 ),
inference(resolve,[status(thm)],[c_273,c_5388]) ).
cnf(c_5389,plain,
( op2(e20,e23) = h1(e12)
| h1(e13) = e23
| e20 = e21 ),
inference(paramod,[status(thm)],[c_4153,c_3578]) ).
cnf(c_5390,plain,
( op2(e20,e23) = h1(e12)
| e20 = e23
| e20 = e21 ),
inference(paramod,[status(thm)],[c_4153,c_5389]) ).
cnf(c_5391,plain,
( op2(e20,e23) = h1(e12)
| e20 = e23 ),
inference(resolve,[status(thm)],[c_269,c_5390]) ).
cnf(c_4178,plain,
op2(e20,e23) = h1(e12),
inference(resolve,[status(thm)],[c_273,c_5391]) ).
cnf(c_5392,plain,
( h1(e13) = e21
| op2(e22,e23) = e21
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4178,c_3371]) ).
cnf(c_5393,plain,
( e20 = e21
| op2(e22,e23) = e21
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4153,c_5392]) ).
cnf(c_4196,plain,
( op2(e22,e23) = e21
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_269,c_5393]) ).
cnf(c_5394,negated_conjecture,
( h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != e20
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_4155,c_3285]) ).
cnf(c_5395,negated_conjecture,
( h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e10,e13)) != h1(e12)
| h2(op1(e10,e12)) != e20
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_4178,c_5394]) ).
cnf(c_4197,negated_conjecture,
( h2(op1(e13,e13)) != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e10,e13)) != h1(e12)
| h2(op1(e10,e12)) != e20
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_4153,c_5395]) ).
cnf(c_5396,plain,
( e20 = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23 ),
inference(paramod,[status(thm)],[c_4153,c_3017]) ).
cnf(c_4200,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[status(thm)],[c_273,c_5396]) ).
cnf(c_5397,plain,
( e20 = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23 ),
inference(paramod,[status(thm)],[c_4153,c_3016]) ).
cnf(c_4201,plain,
( op2(e22,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[status(thm)],[c_273,c_5397]) ).
cnf(c_5398,plain,
h1(e12) != h1(e13),
inference(paramod,[status(thm)],[c_4178,c_3015]) ).
cnf(c_4202,plain,
h1(e12) != e20,
inference(paramod,[status(thm)],[c_4153,c_5398]) ).
cnf(c_5399,plain,
( e20 != e20
| ~ defn_100 ),
inference(paramod,[status(thm)],[c_4153,c_2948]) ).
cnf(c_4206,plain,
~ defn_100,
inference(copy,[status(thm)],[c_5399]) ).
cnf(c_5400,plain,
( op2(e20,e22) != e20
| op2(e20,e23) = e22
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4178,c_3780]) ).
cnf(c_5401,plain,
( op2(e20,e22) != e20
| h1(e12) = e22
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4178,c_5400]) ).
cnf(c_5402,plain,
( e20 != e20
| h1(e12) = e22
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4155,c_5401]) ).
cnf(c_4210,plain,
( h1(e12) = e22
| h1(e12) = e21 ),
inference(copy,[status(thm)],[c_5402]) ).
cnf(c_5403,plain,
( op2(e23,e22) = e21
| h3(e10) = e21
| e20 = e21 ),
inference(paramod,[status(thm)],[c_4155,c_3374]) ).
cnf(c_4214,plain,
( op2(e23,e22) = e21
| h3(e10) = e21 ),
inference(resolve,[status(thm)],[c_269,c_5403]) ).
cnf(c_5404,plain,
( op2(e20,e23) = e21
| e20 = e21
| op2(e20,e21) = e21 ),
inference(paramod,[status(thm)],[c_4155,c_2944]) ).
cnf(c_5405,plain,
( h1(e12) = e21
| e20 = e21
| op2(e20,e21) = e21 ),
inference(paramod,[status(thm)],[c_4178,c_5404]) ).
cnf(c_4216,plain,
( h1(e12) = e21
| op2(e20,e21) = e21 ),
inference(resolve,[status(thm)],[c_269,c_5405]) ).
cnf(c_5406,plain,
( op2(e20,e23) = e22
| e20 = e22
| op2(e20,e21) = e22 ),
inference(paramod,[status(thm)],[c_4155,c_2942]) ).
cnf(c_5407,plain,
( h1(e12) = e22
| e20 = e22
| op2(e20,e21) = e22 ),
inference(paramod,[status(thm)],[c_4178,c_5406]) ).
cnf(c_4217,plain,
( h1(e12) = e22
| op2(e20,e21) = e22 ),
inference(resolve,[status(thm)],[c_271,c_5407]) ).
cnf(c_5408,plain,
( h1(e12) = e20
| op2(e22,h3(e10)) = e22
| op2(e22,e21) = e22
| h3(e10) != e21
| defn_100 ),
inference(paramod,[status(thm)],[c_4178,c_2919]) ).
cnf(c_5409,plain,
( h1(e12) = e20
| op2(e22,h3(e10)) = e22
| op2(e22,e21) = e22
| h3(e10) != e21 ),
inference(resolve,[status(thm)],[c_4206,c_5408]) ).
cnf(c_4219,plain,
( op2(e22,h3(e10)) = e22
| op2(e22,e21) = e22
| h3(e10) != e21 ),
inference(resolve,[status(thm)],[c_4202,c_5409]) ).
cnf(c_4221,plain,
( h1(e12) != e22
| op2(e21,e22) = e22 ),
inference(paramod,[status(thm)],[c_4178,c_3793]) ).
cnf(c_4223,plain,
( h1(e12) != e22
| op2(e20,e21) = e21 ),
inference(paramod,[status(thm)],[c_4178,c_3779]) ).
cnf(c_5410,plain,
h1(e12) != op2(e20,e21),
inference(paramod,[status(thm)],[c_4178,c_230]) ).
cnf(c_4228,plain,
op2(e20,e21) != h1(e12),
inference(copy,[status(thm)],[c_5410]) ).
cnf(c_5411,plain,
( e21 = e23
| h3(e10) = e23
| op2(e22,e21) = e23
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4196,c_3088]) ).
cnf(c_5412,plain,
( e23 = e21
| h3(e10) = e23
| op2(e22,e21) = e23
| h1(e12) = e21 ),
inference(copy,[status(thm)],[c_5411]) ).
cnf(c_4245,plain,
( h3(e10) = e23
| op2(e22,e21) = e23
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_275,c_5412]) ).
cnf(c_5413,plain,
( e21 != op2(e23,e21)
| h3(e10) = e21 ),
inference(paramod,[status(thm)],[c_4214,c_256]) ).
cnf(c_4249,plain,
( op2(e23,e21) != e21
| h3(e10) = e21 ),
inference(copy,[status(thm)],[c_5413]) ).
cnf(c_5414,plain,
( op2(e22,e21) = e22
| e21 = e22
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4216,c_3248]) ).
cnf(c_5415,plain,
( op2(e22,e21) = e22
| e22 = e21
| h1(e12) = e21 ),
inference(copy,[status(thm)],[c_5414]) ).
cnf(c_4253,plain,
( op2(e22,e21) = e22
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_274,c_5415]) ).
cnf(c_5416,plain,
( e22 != op2(e22,e21)
| h1(e12) = e22 ),
inference(paramod,[status(thm)],[c_4217,c_199]) ).
cnf(c_4254,plain,
( op2(e22,e21) != e22
| h1(e12) = e22 ),
inference(copy,[status(thm)],[c_5416]) ).
cnf(c_5417,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| e22 = e21
| h1(e12) = e22 ),
inference(paramod,[status(thm)],[c_4217,c_2894]) ).
cnf(c_4255,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| h1(e12) = e22 ),
inference(resolve,[status(thm)],[c_274,c_5417]) ).
cnf(c_4256,plain,
( h1(e12) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[status(thm)],[c_4221,c_4210]) ).
cnf(c_5418,plain,
( e22 != h1(e12)
| op2(e22,e23) = e21 ),
inference(paramod,[status(thm)],[c_4156,c_4228]) ).
cnf(c_4267,plain,
( h1(e12) != e22
| op2(e22,e23) = e21 ),
inference(copy,[status(thm)],[c_5418]) ).
cnf(c_5419,plain,
( e23 != h3(e10)
| op2(e23,e22) = e21 ),
inference(paramod,[status(thm)],[c_4158,c_3084]) ).
cnf(c_4272,plain,
( h3(e10) != e23
| op2(e23,e22) = e21 ),
inference(copy,[status(thm)],[c_5419]) ).
cnf(c_5420,plain,
( e23 = e21
| h3(e10) = e21
| op2(e23,e21) = e23 ),
inference(paramod,[status(thm)],[c_4200,c_4214]) ).
cnf(c_4276,plain,
( h3(e10) = e21
| op2(e23,e21) = e23 ),
inference(resolve,[status(thm)],[c_275,c_5420]) ).
cnf(c_4278,plain,
( op2(e23,e22) != e23
| h3(e10) = e21 ),
inference(paramod,[status(thm)],[c_4276,c_256]) ).
cnf(c_5421,plain,
( e23 = e21
| h1(e12) = e21
| op2(e21,e23) = e23 ),
inference(paramod,[status(thm)],[c_4201,c_4196]) ).
cnf(c_4282,plain,
( h1(e12) = e21
| op2(e21,e23) = e23 ),
inference(resolve,[status(thm)],[c_275,c_5421]) ).
cnf(c_5422,plain,
( e23 = e22
| h1(e12) = e21
| h3(e10) = e23
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4245,c_4253]) ).
cnf(c_5423,plain,
( e23 = e22
| h3(e10) = e23
| h1(e12) = e21 ),
inference(copy,[status(thm)],[c_5422]) ).
cnf(c_4308,plain,
( h3(e10) = e23
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_276,c_5423]) ).
cnf(c_4309,plain,
( op2(e23,e22) = e21
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_4308,c_4272]) ).
cnf(c_4310,plain,
( op2(e23,e21) = e23
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_4308,c_4164]) ).
cnf(c_4359,plain,
( h3(e10) = e21
| op2(e22,e21) = e21
| h1(e12) = e22 ),
inference(resolve,[status(thm)],[c_4255,c_4249]) ).
cnf(c_4362,plain,
( op2(e20,e21) != e21
| h3(e10) = e21
| h1(e12) = e22 ),
inference(paramod,[status(thm)],[c_4359,c_199]) ).
cnf(c_5424,plain,
( op1(e11,e12) = e12
| e10 = e11
| op1(e12,e12) = e12
| op1(e11,e12) = e12 ),
inference(paramod,[status(thm)],[c_3839,c_4091]) ).
cnf(c_5425,plain,
( e10 = e11
| op1(e12,e12) = e12
| op1(e11,e12) = e12 ),
inference(copy,[status(thm)],[c_5424]) ).
cnf(c_4454,plain,
( op1(e12,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[status(thm)],[c_260,c_5425]) ).
cnf(c_4456,plain,
( defn_40
| defn_20
| op1(e11,e12) = e12 ),
inference(resolve,[status(thm)],[c_4454,c_3377]) ).
cnf(c_5426,plain,
( e12 != op1(e12,e11)
| op1(e11,e12) = e12 ),
inference(paramod,[status(thm)],[c_4454,c_175]) ).
cnf(c_4460,plain,
( op1(e12,e11) != e12
| op1(e11,e12) = e12 ),
inference(copy,[status(thm)],[c_5426]) ).
cnf(c_4462,plain,
( op1(e10,e11) = e11
| defn_20
| op1(e11,e12) = e12 ),
inference(resolve,[status(thm)],[c_4456,c_896]) ).
cnf(c_5427,plain,
( op1(e10,e11) = e11
| op1(e11,e12) = e12
| op1(e12,e12) != e12 ),
inference(resolve,[status(thm)],[c_905,c_4462]) ).
cnf(c_5428,plain,
( op1(e11,e12) = e12
| op1(e10,e11) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[status(thm)],[c_5427,c_4454]) ).
cnf(c_4469,plain,
( op1(e10,e11) = e11
| op1(e11,e12) = e12 ),
inference(copy,[status(thm)],[c_5428]) ).
cnf(c_5429,plain,
( op1(e12,e11) = e12
| e11 = e12
| op1(e11,e12) = e12 ),
inference(paramod,[status(thm)],[c_4469,c_3276]) ).
cnf(c_5430,plain,
( op1(e12,e11) = e12
| e12 = e11
| op1(e11,e12) = e12 ),
inference(copy,[status(thm)],[c_5429]) ).
cnf(c_4473,plain,
( op1(e12,e11) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[status(thm)],[c_265,c_5430]) ).
cnf(c_5431,plain,
( op1(e11,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[status(thm)],[c_4473,c_4460]) ).
cnf(c_4475,plain,
op1(e11,e12) = e12,
inference(copy,[status(thm)],[c_5431]) ).
cnf(c_5432,negated_conjecture,
( h2(op1(e13,e13)) != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(e12) != op2(e21,e22)
| h2(op1(e10,e13)) != h1(e12)
| h2(op1(e10,e12)) != e20
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_4475,c_4197]) ).
cnf(c_5433,negated_conjecture,
( h2(op1(e13,e13)) != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| e22 != op2(e21,e22)
| h2(op1(e10,e13)) != h1(e12)
| h2(op1(e10,e12)) != e20
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_2896,c_5432]) ).
cnf(c_4478,negated_conjecture,
( h2(op1(e13,e13)) != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| op2(e21,e22) != e22
| h2(op1(e10,e13)) != h1(e12)
| h2(op1(e10,e12)) != e20
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(copy,[status(thm)],[c_5433]) ).
cnf(c_5434,plain,
( op1(e12,e12) = e13
| e12 = e13
| op1(e13,e11) = e11 ),
inference(paramod,[status(thm)],[c_4475,c_3953]) ).
cnf(c_5435,plain,
( op1(e12,e12) = e13
| e13 = e12
| op1(e13,e11) = e11 ),
inference(copy,[status(thm)],[c_5434]) ).
cnf(c_4479,plain,
( op1(e12,e12) = e13
| op1(e13,e11) = e11 ),
inference(resolve,[status(thm)],[c_267,c_5435]) ).
cnf(c_5436,plain,
( op1(e12,e13) = e12
| op1(e12,e13) = e11
| e12 = e13 ),
inference(paramod,[status(thm)],[c_4475,c_3935]) ).
cnf(c_5437,plain,
( op1(e12,e13) = e12
| op1(e12,e13) = e11
| e13 = e12 ),
inference(copy,[status(thm)],[c_5436]) ).
cnf(c_4480,plain,
( op1(e12,e13) = e12
| op1(e12,e13) = e11 ),
inference(resolve,[status(thm)],[c_267,c_5437]) ).
cnf(c_5438,plain,
( op1(e12,e12) = e13
| e12 = e13
| op1(e12,e11) = e13 ),
inference(paramod,[status(thm)],[c_4475,c_3933]) ).
cnf(c_5439,plain,
( op1(e12,e12) = e13
| e13 = e12
| op1(e12,e11) = e13 ),
inference(copy,[status(thm)],[c_5438]) ).
cnf(c_4481,plain,
( op1(e12,e12) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[status(thm)],[c_267,c_5439]) ).
cnf(c_5440,plain,
( op1(e12,e13) != e13
| e12 = e13 ),
inference(paramod,[status(thm)],[c_4475,c_3762]) ).
cnf(c_5441,plain,
( op1(e12,e13) != e13
| e13 = e12 ),
inference(copy,[status(thm)],[c_5440]) ).
cnf(c_4483,plain,
op1(e12,e13) != e13,
inference(resolve,[status(thm)],[c_267,c_5441]) ).
cnf(c_5442,plain,
( op1(e11,e13) = e13
| e12 = e13 ),
inference(paramod,[status(thm)],[c_4475,c_3204]) ).
cnf(c_5443,plain,
( op1(e11,e13) = e13
| e13 = e12 ),
inference(copy,[status(thm)],[c_5442]) ).
cnf(c_4485,plain,
op1(e11,e13) = e13,
inference(resolve,[status(thm)],[c_267,c_5443]) ).
cnf(c_4487,plain,
op1(e12,e12) != e12,
inference(paramod,[status(thm)],[c_4475,c_139]) ).
cnf(c_4494,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e11 ),
inference(resolve,[status(thm)],[c_4483,c_4033]) ).
cnf(c_4496,plain,
op1(e10,e13) != e10,
inference(resolve,[status(thm)],[c_4483,c_4004]) ).
cnf(c_4497,plain,
op1(e13,e12) != e10,
inference(resolve,[status(thm)],[c_4483,c_4003]) ).
cnf(c_4498,plain,
op1(e13,e13) = e10,
inference(resolve,[status(thm)],[c_4483,c_4002]) ).
cnf(c_4499,plain,
op1(e10,e12) = e10,
inference(resolve,[status(thm)],[c_4483,c_4001]) ).
cnf(c_5444,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e10,e11) = e11 ),
inference(resolve,[status(thm)],[c_4483,c_3995]) ).
cnf(c_4500,plain,
( op1(e12,e12) = e11
| op1(e12,e11) = e12
| op1(e10,e11) = e11 ),
inference(resolve,[status(thm)],[c_4487,c_5444]) ).
cnf(c_4502,plain,
( op1(e10,e11) = e11
| defn_20 ),
inference(resolve,[status(thm)],[c_4483,c_3892]) ).
cnf(c_5445,negated_conjecture,
( h2(op1(e13,e13)) != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| op2(e21,e22) != e22
| h2(op1(e10,e13)) != h1(e12)
| h2(e10) != e20
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_4499,c_4478]) ).
cnf(c_5446,negated_conjecture,
( h2(op1(e13,e13)) != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| op2(e21,e22) != e22
| h2(op1(e10,e13)) != h1(e12)
| e20 != e20
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_1562,c_5445]) ).
cnf(c_5447,negated_conjecture,
( h2(op1(e13,e13)) != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(e13) != op2(e21,e23)
| op2(e21,e22) != e22
| h2(op1(e10,e13)) != h1(e12)
| e20 != e20
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_4485,c_5446]) ).
cnf(c_5448,negated_conjecture,
( h2(op1(e13,e13)) != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| e23 != op2(e21,e23)
| op2(e21,e22) != e22
| h2(op1(e10,e13)) != h1(e12)
| e20 != e20
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_1566,c_5447]) ).
cnf(c_5449,negated_conjecture,
( h2(e10) != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| e23 != op2(e21,e23)
| op2(e21,e22) != e22
| h2(op1(e10,e13)) != h1(e12)
| e20 != e20
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_4498,c_5448]) ).
cnf(c_5450,negated_conjecture,
( e20 != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| e23 != op2(e21,e23)
| op2(e21,e22) != e22
| h2(op1(e10,e13)) != h1(e12)
| e20 != e20
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(paramod,[status(thm)],[c_1562,c_5449]) ).
cnf(c_5451,negated_conjecture,
( e20 != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| op2(e21,e23) != e23
| op2(e21,e22) != e22
| h2(op1(e10,e13)) != h1(e12)
| e20 != e20
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(copy,[status(thm)],[c_5450]) ).
cnf(c_5452,negated_conjecture,
( e20 != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| op2(e21,e23) != e23
| op2(e21,e22) != e22
| h2(op1(e10,e13)) != h1(e12)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(copy,[status(thm)],[c_5451]) ).
cnf(c_4504,negated_conjecture,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| op2(e21,e23) != e23
| op2(e21,e22) != e22
| h2(op1(e10,e13)) != h1(e12)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(copy,[status(thm)],[c_5452]) ).
cnf(c_5453,plain,
( op1(e12,e13) = e12
| e13 = e12
| op1(e10,e11) = e11 ),
inference(paramod,[status(thm)],[c_4485,c_3932]) ).
cnf(c_4507,plain,
( op1(e12,e13) = e12
| op1(e10,e11) = e11 ),
inference(resolve,[status(thm)],[c_267,c_5453]) ).
cnf(c_4521,plain,
~ defn_00,
inference(resolve,[status(thm)],[c_4496,c_2783]) ).
cnf(c_5454,plain,
( op1(e13,e12) = e10
| op1(e12,op1(e12,e12)) = e12
| op1(e12,e11) = e12
| op1(e12,e12) != e11 ),
inference(resolve,[status(thm)],[c_4521,c_3173]) ).
cnf(c_4523,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e12,e11) = e12
| op1(e12,e12) != e11 ),
inference(resolve,[status(thm)],[c_4497,c_5454]) ).
cnf(c_5455,plain,
( op1(e10,e11) != e11
| e10 = e11
| op1(e12,e13) = e11 ),
inference(paramod,[status(thm)],[c_4498,c_3860]) ).
cnf(c_4526,plain,
( op1(e10,e11) != e11
| op1(e12,e13) = e11 ),
inference(resolve,[status(thm)],[c_260,c_5455]) ).
cnf(c_5456,plain,
( op1(e12,e13) != e11
| e10 = e11
| op1(e10,e11) = e11 ),
inference(paramod,[status(thm)],[c_4499,c_3492]) ).
cnf(c_4529,plain,
( op1(e12,e13) != e11
| op1(e10,e11) = e11 ),
inference(resolve,[status(thm)],[c_260,c_5456]) ).
cnf(c_4532,plain,
( op1(e10,e11) != e11
| op1(e12,e12) = e13 ),
inference(paramod,[status(thm)],[c_4479,c_129]) ).
cnf(c_5457,plain,
( op1(e10,e11) = e11
| op1(e12,e12) != e13
| op1(e12,e13) != e12 ),
inference(resolve,[status(thm)],[c_904,c_4502]) ).
cnf(c_5458,plain,
( op1(e12,e13) = e11
| op1(e10,e11) = e11
| op1(e12,e12) != e13 ),
inference(resolve,[status(thm)],[c_5457,c_4480]) ).
cnf(c_4537,plain,
( op1(e12,e11) = e13
| op1(e12,e13) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[status(thm)],[c_5458,c_4481]) ).
cnf(c_4538,plain,
( op1(e12,e11) = e12
| op1(e10,e13) = e11 ),
inference(resolve,[status(thm)],[c_4494,c_3827]) ).
cnf(c_5459,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| op2(e21,e23) != e23
| op2(e21,e22) != e22
| h2(e12) != h1(e12)
| h2(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e13) = e11 ),
inference(paramod,[status(thm)],[c_4494,c_4504]) ).
cnf(c_5460,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| op2(e21,e23) != e23
| op2(e21,e22) != e22
| e22 != h1(e12)
| h2(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e13) = e11 ),
inference(paramod,[status(thm)],[c_2896,c_5459]) ).
cnf(c_4541,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| op2(e21,e23) != e23
| op2(e21,e22) != e22
| h1(e12) != e22
| h2(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e13) = e11 ),
inference(copy,[status(thm)],[c_5460]) ).
cnf(c_4552,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[status(thm)],[c_4532,c_4507]) ).
cnf(c_5461,plain,
( e11 != op1(e10,e11)
| op1(e12,e11) = e12 ),
inference(paramod,[status(thm)],[c_4538,c_158]) ).
cnf(c_4554,plain,
( op1(e10,e11) != e11
| op1(e12,e11) = e12 ),
inference(copy,[status(thm)],[c_5461]) ).
cnf(c_5462,plain,
( e12 != op1(e12,e11)
| op1(e12,e12) = e13 ),
inference(paramod,[status(thm)],[c_4552,c_176]) ).
cnf(c_4560,plain,
( op1(e12,e11) != e12
| op1(e12,e12) = e13 ),
inference(copy,[status(thm)],[c_5462]) ).
cnf(c_5463,plain,
( op2(e22,e21) = e22
| e21 = e22
| h3(e10) = e21
| h3(e10) = e22
| op2(e22,e21) = e22
| op2(e23,e22) = e23 ),
inference(paramod,[status(thm)],[c_4133,c_3248]) ).
cnf(c_5464,plain,
( op2(e22,e21) = e22
| e22 = e21
| h3(e10) = e21
| h3(e10) = e22
| op2(e22,e21) = e22
| op2(e23,e22) = e23 ),
inference(copy,[status(thm)],[c_5463]) ).
cnf(c_5465,plain,
( e22 = e21
| h3(e10) = e21
| h3(e10) = e22
| op2(e22,e21) = e22
| op2(e23,e22) = e23 ),
inference(copy,[status(thm)],[c_5464]) ).
cnf(c_4634,plain,
( h3(e10) = e21
| h3(e10) = e22
| op2(e22,e21) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[status(thm)],[c_274,c_5465]) ).
cnf(c_5466,plain,
( op1(e12,e11) = e12
| op1(e12,e12) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[status(thm)],[c_4500,c_4554]) ).
cnf(c_4678,plain,
( op1(e12,e12) = e11
| op1(e12,e11) = e12 ),
inference(copy,[status(thm)],[c_5466]) ).
cnf(c_5467,plain,
( op1(e12,e13) = e11
| op1(e12,e11) = e13
| op1(e12,e13) = e11 ),
inference(resolve,[status(thm)],[c_4537,c_4526]) ).
cnf(c_4693,plain,
( op1(e12,e11) = e13
| op1(e12,e13) = e11 ),
inference(copy,[status(thm)],[c_5467]) ).
cnf(c_4694,plain,
( op1(e10,e11) = e11
| op1(e12,e11) = e13 ),
inference(resolve,[status(thm)],[c_4693,c_4529]) ).
cnf(c_4695,plain,
( op1(e10,e13) != e11
| op1(e12,e11) = e13 ),
inference(paramod,[status(thm)],[c_4693,c_145]) ).
cnf(c_5468,plain,
( op1(e12,e11) = e12
| op1(e12,op1(e12,e12)) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[status(thm)],[c_4523,c_4678]) ).
cnf(c_4857,plain,
( op1(e12,op1(e12,e12)) = e12
| op1(e12,e11) = e12 ),
inference(copy,[status(thm)],[c_5468]) ).
cnf(c_5469,plain,
( h3(e10) = e21
| h3(e10) = e21
| h3(e10) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[status(thm)],[c_4634,c_4278]) ).
cnf(c_4863,plain,
( h3(e10) = e21
| h3(e10) = e22
| op2(e22,e21) = e22 ),
inference(copy,[status(thm)],[c_5469]) ).
cnf(c_4865,plain,
( h1(e12) = e22
| h3(e10) = e21
| h3(e10) = e22 ),
inference(resolve,[status(thm)],[c_4863,c_4254]) ).
cnf(c_4877,plain,
( defn_140
| defn_120
| h1(e12) = e22
| h3(e10) = e21 ),
inference(resolve,[status(thm)],[c_4865,c_3384]) ).
cnf(c_5470,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| op2(e21,e23) != e23
| op2(e21,e22) != e22
| h1(e12) != e22
| h2(e11) != op2(e20,e21)
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(paramod,[status(thm)],[c_4694,c_4541]) ).
cnf(c_5471,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| op2(e21,e23) != e23
| op2(e21,e22) != e22
| h1(e12) != e22
| e21 != op2(e20,e21)
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(paramod,[status(thm)],[c_1560,c_5470]) ).
cnf(c_4889,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| op2(e21,e23) != e23
| op2(e21,e22) != e22
| h1(e12) != e22
| op2(e20,e21) != e21
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(copy,[status(thm)],[c_5471]) ).
cnf(c_4893,plain,
( op2(e20,e21) = e21
| defn_120
| h1(e12) = e22
| h3(e10) = e21 ),
inference(resolve,[status(thm)],[c_4877,c_1516]) ).
cnf(c_5472,plain,
( op2(e20,e21) = e21
| h1(e12) = e22
| h3(e10) = e21
| h3(e10) != e22 ),
inference(resolve,[status(thm)],[c_3052,c_4893]) ).
cnf(c_5473,plain,
( h1(e12) = e22
| h3(e10) = e21
| op2(e20,e21) = e21
| h1(e12) = e22
| h3(e10) = e21 ),
inference(resolve,[status(thm)],[c_5472,c_4865]) ).
cnf(c_5474,plain,
( h1(e12) = e22
| op2(e20,e21) = e21
| h1(e12) = e22
| h3(e10) = e21 ),
inference(copy,[status(thm)],[c_5473]) ).
cnf(c_4961,plain,
( op2(e20,e21) = e21
| h1(e12) = e22
| h3(e10) = e21 ),
inference(copy,[status(thm)],[c_5474]) ).
cnf(c_5475,plain,
( h3(e10) = e21
| h1(e12) = e22
| h1(e12) = e22
| h3(e10) = e21 ),
inference(resolve,[status(thm)],[c_4961,c_4362]) ).
cnf(c_5476,plain,
( h3(e10) = e21
| h1(e12) = e22
| h3(e10) = e21 ),
inference(copy,[status(thm)],[c_5475]) ).
cnf(c_4965,plain,
( h1(e12) = e22
| h3(e10) = e21 ),
inference(copy,[status(thm)],[c_5476]) ).
cnf(c_4978,plain,
( op2(e22,h3(e10)) = e22
| op2(e22,e21) = e22
| h1(e12) = e22 ),
inference(resolve,[status(thm)],[c_4965,c_4219]) ).
cnf(c_5477,plain,
( op2(e22,e21) = e22
| op2(e22,e21) = e22
| h1(e12) = e22
| h1(e12) = e22 ),
inference(paramod,[status(thm)],[c_4965,c_4978]) ).
cnf(c_5478,plain,
( op2(e22,e21) = e22
| op2(e22,e21) = e22
| h1(e12) = e22 ),
inference(copy,[status(thm)],[c_5477]) ).
cnf(c_5027,plain,
( op2(e22,e21) = e22
| h1(e12) = e22 ),
inference(copy,[status(thm)],[c_5478]) ).
cnf(c_5479,plain,
( h1(e12) = e22
| h1(e12) = e22 ),
inference(resolve,[status(thm)],[c_5027,c_4254]) ).
cnf(c_5031,plain,
h1(e12) = e22,
inference(copy,[status(thm)],[c_5479]) ).
cnf(c_5480,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| op2(e21,e23) != e23
| op2(e21,e22) != e22
| e22 != e22
| op2(e20,e21) != e21
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(paramod,[status(thm)],[c_5031,c_4889]) ).
cnf(c_5052,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| op2(e21,e23) != e23
| op2(e21,e22) != e22
| op2(e20,e21) != e21
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(copy,[status(thm)],[c_5480]) ).
cnf(c_5481,plain,
( op2(e23,e21) = e23
| e22 = e21 ),
inference(paramod,[status(thm)],[c_5031,c_4310]) ).
cnf(c_5073,plain,
op2(e23,e21) = e23,
inference(resolve,[status(thm)],[c_274,c_5481]) ).
cnf(c_5482,plain,
( op2(e23,e22) = e21
| e22 = e21 ),
inference(paramod,[status(thm)],[c_5031,c_4309]) ).
cnf(c_5074,plain,
op2(e23,e22) = e21,
inference(resolve,[status(thm)],[c_274,c_5482]) ).
cnf(c_5483,plain,
( h3(e10) = e23
| e22 = e21 ),
inference(paramod,[status(thm)],[c_5031,c_4308]) ).
cnf(c_5075,plain,
h3(e10) = e23,
inference(resolve,[status(thm)],[c_274,c_5483]) ).
cnf(c_5484,plain,
( e22 = e21
| op2(e21,e23) = e23 ),
inference(paramod,[status(thm)],[c_5031,c_4282]) ).
cnf(c_5078,plain,
op2(e21,e23) = e23,
inference(resolve,[status(thm)],[c_274,c_5484]) ).
cnf(c_5485,plain,
( e22 != e22
| op2(e22,e23) = e21 ),
inference(paramod,[status(thm)],[c_5031,c_4267]) ).
cnf(c_5079,plain,
op2(e22,e23) = e21,
inference(copy,[status(thm)],[c_5485]) ).
cnf(c_5486,plain,
( e22 = e21
| op2(e21,e22) = e22 ),
inference(paramod,[status(thm)],[c_5031,c_4256]) ).
cnf(c_5080,plain,
op2(e21,e22) = e22,
inference(resolve,[status(thm)],[c_274,c_5486]) ).
cnf(c_5487,plain,
( op2(e22,e21) = e22
| e22 = e21 ),
inference(paramod,[status(thm)],[c_5031,c_4253]) ).
cnf(c_5081,plain,
op2(e22,e21) = e22,
inference(resolve,[status(thm)],[c_274,c_5487]) ).
cnf(c_5488,plain,
( e22 != e22
| op2(e20,e21) = e21 ),
inference(paramod,[status(thm)],[c_5031,c_4223]) ).
cnf(c_5083,plain,
op2(e20,e21) = e21,
inference(copy,[status(thm)],[c_5488]) ).
cnf(c_5489,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| op2(e21,e23) != e23
| op2(e21,e22) != e22
| e21 != e21
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(paramod,[status(thm)],[c_5083,c_5052]) ).
cnf(c_5490,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| op2(e21,e23) != e23
| e22 != e22
| e21 != e21
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(paramod,[status(thm)],[c_5080,c_5489]) ).
cnf(c_5491,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| e23 != e23
| e22 != e22
| e21 != e21
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(paramod,[status(thm)],[c_5078,c_5490]) ).
cnf(c_5492,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != e22
| e23 != e23
| e22 != e22
| e21 != e21
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(paramod,[status(thm)],[c_5081,c_5491]) ).
cnf(c_5493,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != e23
| h2(op1(e12,e11)) != e22
| e23 != e23
| e22 != e22
| e21 != e21
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(paramod,[status(thm)],[c_5075,c_5492]) ).
cnf(c_5494,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != e21
| h2(op1(e12,e12)) != e23
| h2(op1(e12,e11)) != e22
| e23 != e23
| e22 != e22
| e21 != e21
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(paramod,[status(thm)],[c_5079,c_5493]) ).
cnf(c_5495,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != e23
| h2(op1(e12,e13)) != e21
| h2(op1(e12,e12)) != e23
| h2(op1(e12,e11)) != e22
| e23 != e23
| e22 != e22
| e21 != e21
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(paramod,[status(thm)],[c_5073,c_5494]) ).
cnf(c_5496,plain,
( h2(op1(e13,e12)) != e21
| h2(op1(e13,e11)) != e23
| h2(op1(e12,e13)) != e21
| h2(op1(e12,e12)) != e23
| h2(op1(e12,e11)) != e22
| e23 != e23
| e22 != e22
| e21 != e21
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(paramod,[status(thm)],[c_5074,c_5495]) ).
cnf(c_5497,plain,
( h2(op1(e13,e12)) != e21
| h2(op1(e13,e11)) != e23
| h2(op1(e12,e13)) != e21
| h2(op1(e12,e12)) != e23
| h2(op1(e12,e11)) != e22
| e23 != e23
| e22 != e22
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(copy,[status(thm)],[c_5496]) ).
cnf(c_5498,plain,
( h2(op1(e13,e12)) != e21
| h2(op1(e13,e11)) != e23
| h2(op1(e12,e13)) != e21
| h2(op1(e12,e12)) != e23
| h2(op1(e12,e11)) != e22
| e23 != e23
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(copy,[status(thm)],[c_5497]) ).
cnf(c_5091,plain,
( h2(op1(e13,e12)) != e21
| h2(op1(e13,e11)) != e23
| h2(op1(e12,e13)) != e21
| h2(op1(e12,e12)) != e23
| h2(op1(e12,e11)) != e22
| op1(e10,e13) = e11
| op1(e12,e11) = e13 ),
inference(copy,[status(thm)],[c_5498]) ).
cnf(c_5499,plain,
( op1(e12,e11) = e12
| op1(e12,e11) = e12
| op1(e12,e11) = e12 ),
inference(paramod,[status(thm)],[c_4678,c_4857]) ).
cnf(c_5500,plain,
( op1(e12,e11) = e12
| op1(e12,e11) = e12 ),
inference(copy,[status(thm)],[c_5499]) ).
cnf(c_5099,plain,
op1(e12,e11) = e12,
inference(copy,[status(thm)],[c_5500]) ).
cnf(c_5501,plain,
( h2(op1(e13,e12)) != e21
| h2(op1(e13,e11)) != e23
| h2(op1(e12,e13)) != e21
| h2(op1(e12,e12)) != e23
| h2(op1(e12,e11)) != e22
| op1(e10,e13) = e11
| e12 = e13 ),
inference(paramod,[status(thm)],[c_5099,c_5091]) ).
cnf(c_5502,plain,
( h2(op1(e13,e12)) != e21
| h2(op1(e13,e11)) != e23
| h2(op1(e12,e13)) != e21
| h2(op1(e12,e12)) != e23
| h2(e12) != e22
| op1(e10,e13) = e11
| e12 = e13 ),
inference(paramod,[status(thm)],[c_5099,c_5501]) ).
cnf(c_5503,plain,
( h2(op1(e13,e12)) != e21
| h2(op1(e13,e11)) != e23
| h2(op1(e12,e13)) != e21
| h2(op1(e12,e12)) != e23
| e22 != e22
| op1(e10,e13) = e11
| e12 = e13 ),
inference(paramod,[status(thm)],[c_2896,c_5502]) ).
cnf(c_5504,plain,
( h2(op1(e13,e12)) != e21
| h2(op1(e13,e11)) != e23
| h2(op1(e12,e13)) != e21
| h2(op1(e12,e12)) != e23
| e22 != e22
| op1(e10,e13) = e11
| e13 = e12 ),
inference(copy,[status(thm)],[c_5503]) ).
cnf(c_5505,plain,
( h2(op1(e13,e12)) != e21
| h2(op1(e13,e11)) != e23
| h2(op1(e12,e13)) != e21
| h2(op1(e12,e12)) != e23
| op1(e10,e13) = e11
| e13 = e12 ),
inference(copy,[status(thm)],[c_5504]) ).
cnf(c_5104,plain,
( h2(op1(e13,e12)) != e21
| h2(op1(e13,e11)) != e23
| h2(op1(e12,e13)) != e21
| h2(op1(e12,e12)) != e23
| op1(e10,e13) = e11 ),
inference(resolve,[status(thm)],[c_267,c_5505]) ).
cnf(c_5506,plain,
( op1(e10,e13) != e11
| e12 = e13 ),
inference(paramod,[status(thm)],[c_5099,c_4695]) ).
cnf(c_5507,plain,
( op1(e10,e13) != e11
| e13 = e12 ),
inference(copy,[status(thm)],[c_5506]) ).
cnf(c_5106,plain,
op1(e10,e13) != e11,
inference(resolve,[status(thm)],[c_267,c_5507]) ).
cnf(c_5508,plain,
( e12 = e13
| op1(e12,e13) = e11 ),
inference(paramod,[status(thm)],[c_5099,c_4693]) ).
cnf(c_5509,plain,
( e13 = e12
| op1(e12,e13) = e11 ),
inference(copy,[status(thm)],[c_5508]) ).
cnf(c_5108,plain,
op1(e12,e13) = e11,
inference(resolve,[status(thm)],[c_267,c_5509]) ).
cnf(c_5510,plain,
( e12 != e12
| op1(e12,e12) = e13 ),
inference(paramod,[status(thm)],[c_5099,c_4560]) ).
cnf(c_5109,plain,
op1(e12,e12) = e13,
inference(copy,[status(thm)],[c_5510]) ).
cnf(c_5511,plain,
( e12 = e13
| op1(e13,e12) = e11 ),
inference(paramod,[status(thm)],[c_5099,c_4093]) ).
cnf(c_5512,plain,
( e13 = e12
| op1(e13,e12) = e11 ),
inference(copy,[status(thm)],[c_5511]) ).
cnf(c_5111,plain,
op1(e13,e12) = e11,
inference(resolve,[status(thm)],[c_267,c_5512]) ).
cnf(c_5513,plain,
( op1(e13,e11) = e13
| e12 = e13 ),
inference(paramod,[status(thm)],[c_5099,c_3202]) ).
cnf(c_5514,plain,
( op1(e13,e11) = e13
| e13 = e12 ),
inference(copy,[status(thm)],[c_5513]) ).
cnf(c_5112,plain,
op1(e13,e11) = e13,
inference(resolve,[status(thm)],[c_267,c_5514]) ).
cnf(c_5515,plain,
( h2(op1(e13,e12)) != e21
| h2(op1(e13,e11)) != e23
| h2(op1(e12,e13)) != e21
| h2(e13) != e23
| op1(e10,e13) = e11 ),
inference(paramod,[status(thm)],[c_5109,c_5104]) ).
cnf(c_5516,plain,
( h2(op1(e13,e12)) != e21
| h2(op1(e13,e11)) != e23
| h2(op1(e12,e13)) != e21
| e23 != e23
| op1(e10,e13) = e11 ),
inference(paramod,[status(thm)],[c_1566,c_5515]) ).
cnf(c_5517,plain,
( h2(op1(e13,e12)) != e21
| h2(op1(e13,e11)) != e23
| h2(e11) != e21
| e23 != e23
| op1(e10,e13) = e11 ),
inference(paramod,[status(thm)],[c_5108,c_5516]) ).
cnf(c_5518,plain,
( h2(op1(e13,e12)) != e21
| h2(op1(e13,e11)) != e23
| e21 != e21
| e23 != e23
| op1(e10,e13) = e11 ),
inference(paramod,[status(thm)],[c_1560,c_5517]) ).
cnf(c_5519,plain,
( h2(op1(e13,e12)) != e21
| h2(e13) != e23
| e21 != e21
| e23 != e23
| op1(e10,e13) = e11 ),
inference(paramod,[status(thm)],[c_5112,c_5518]) ).
cnf(c_5520,plain,
( h2(op1(e13,e12)) != e21
| e23 != e23
| e21 != e21
| e23 != e23
| op1(e10,e13) = e11 ),
inference(paramod,[status(thm)],[c_1566,c_5519]) ).
cnf(c_5521,plain,
( h2(e11) != e21
| e23 != e23
| e21 != e21
| e23 != e23
| op1(e10,e13) = e11 ),
inference(paramod,[status(thm)],[c_5111,c_5520]) ).
cnf(c_5522,plain,
( e21 != e21
| e23 != e23
| e21 != e21
| e23 != e23
| op1(e10,e13) = e11 ),
inference(paramod,[status(thm)],[c_1560,c_5521]) ).
cnf(c_5523,plain,
( e21 != e21
| e23 != e23
| e21 != e21
| op1(e10,e13) = e11 ),
inference(copy,[status(thm)],[c_5522]) ).
cnf(c_5524,plain,
( e21 != e21
| e23 != e23
| op1(e10,e13) = e11 ),
inference(copy,[status(thm)],[c_5523]) ).
cnf(c_5525,plain,
( e21 != e21
| op1(e10,e13) = e11 ),
inference(copy,[status(thm)],[c_5524]) ).
cnf(c_5526,plain,
op1(e10,e13) = e11,
inference(copy,[status(thm)],[c_5525]) ).
cnf(c_5113,plain,
$false,
inference(resolve,[status(thm)],[c_5106,c_5526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG126+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 21:13:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 39417 was started by sandbox2 on n010,
% 0.10/0.37 % Sat Sep 26 21:13:30 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 13.66/13.93
% 13.66/13.93 % From the command line: assign(max_seconds, 300).
% 27.88/16.03
% 27.88/16.03 % given #500 (A,wt=63): 3396 op1(e10,op1(e10,e13)) = e13 | op1(e11,op1(e11,e12)) = e12 | op1(e12,op1(e12,e13)) = e13 | op1(e13,op1(e13,e12)) = e12. [resolve(919,a,424,a)].
% 27.88/16.03
% 27.88/16.03 % given #1000 (W,wt=24): 4787 h3(e10) = e21 | h3(e12) = h1(e12) | op2(e20,e21) != e21. [para(4761(c,1),199(a,2))].
% 27.88/16.03
% 27.88/16.03 % SZS status Theorem for theBenchmark
% 27.88/16.03
% 27.88/16.03 % Proof 1 at 1.70 (+ 0.28) seconds.
% 27.88/16.03 % Length of proof is 497.
% 27.88/16.03 % Level of proof is 30.
% 27.88/16.03 % Maximum clause weight is 137.000.
% 27.88/16.03 % Given clauses 1135.
% 27.88/16.03
% 27.88/16.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------