%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG102+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 06:49:30 AM UTC 2026
% Result : Theorem 28.58s 18.03s
% Output : CNFRefutation 28.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 118
% Number of leaves : 59
% Syntax : Number of formulae : 945 ( 273 unt; 42 def)
% Number of atoms : 5312 (4643 equ)
% Maximal formula atoms : 304 ( 5 avg)
% Number of connectives : 6837 (2470 ~;3387 |; 938 &)
% ( 42 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 44 ( 42 usr; 43 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(e12,e12) = e13
| op1(e12,e13) != e12 )
& ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& 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,e13) = e12
| op1(e13,e12) != e13 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& 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,e13) = e11
| op1(e13,e11) != e13 )
& ( op1(e12,e12) = e11
| op1(e12,e11) != e12 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& 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,e13) = e10
| op1(e13,e10) != e13 )
& ( op1(e12,e12) = e10
| op1(e12,e10) != e12 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ( 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 ) )
& ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& 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,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
file('theBenchmark.p',ax10) ).
fof(ax11,axiom,
( ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& 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,e23) = e22
| op2(e23,e22) != e23 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& 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,e23) = e21
| op2(e23,e21) != e23 )
& ( op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& 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,e23) = e20
| op2(e23,e20) != e23 )
& ( op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( 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 ) )
& ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& 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,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
file('theBenchmark.p',ax11) ).
fof(ax12,axiom,
( e13 = op1(op1(e11,e11),e11)
& e12 = op1(e11,e11)
& e10 = op1(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) ),
file('theBenchmark.p',ax12) ).
fof(ax13,axiom,
( e23 = op2(op2(e21,e21),e21)
& e22 = op2(e21,e21)
& e20 = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),
file('theBenchmark.p',ax13) ).
fof(ax14,axiom,
( h1(e13) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e10) = op2(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20))
& h1(e11) = e20 ),
file('theBenchmark.p',ax14) ).
fof(ax15,axiom,
( h2(e13) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e10) = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21))
& h2(e11) = e21 ),
file('theBenchmark.p',ax15) ).
fof(ax16,axiom,
( h3(e13) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e10) = op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22))
& h3(e11) = e22 ),
file('theBenchmark.p',ax16) ).
fof(ax17,axiom,
( h4(e13) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e10) = op2(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23))
& h4(e11) = e23 ),
file('theBenchmark.p',ax17) ).
fof(co1,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('theBenchmark.p',co1) ).
fof(co1_neg,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
cnf(c_19,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_21,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_27,plain,
( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = 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_31,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_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_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_39,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_40,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_42,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_43,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_44,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_53,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
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_65,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_66,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_69,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_74,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_78,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_79,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_80,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_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_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_86,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_89,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_90,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_91,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_92,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_99,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_101,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = 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_111,plain,
( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_112,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_113,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_117,plain,
op1(e12,e10) != op1(e10,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_118,plain,
op1(e10,e10) != op1(e12,e10),
inference(copy,[status(thm)],[c_117]) ).
cnf(c_119,plain,
op1(e13,e10) != op1(e10,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_120,plain,
op1(e10,e10) != op1(e13,e10),
inference(copy,[status(thm)],[c_119]) ).
cnf(c_121,plain,
op1(e12,e10) != op1(e11,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_122,plain,
op1(e13,e10) != op1(e11,e10),
inference(clausify,[status(thm)],[ax5]) ).
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_131,plain,
op1(e13,e11) != op1(e11,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_132,plain,
op1(e13,e11) != op1(e12,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_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_149,plain,
op1(e13,e13) != op1(e11,e13),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_150,plain,
op1(e13,e13) != op1(e12,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_157,plain,
op1(e10,e12) != 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_167,plain,
op1(e11,e13) != op1(e11,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_169,plain,
op1(e12,e11) != op1(e12,e10),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_170,plain,
op1(e12,e10) != op1(e12,e11),
inference(copy,[status(thm)],[c_169]) ).
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_177,plain,
op1(e12,e13) != op1(e12,e12),
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_185,plain,
op1(e13,e13) != op1(e13,e11),
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_186,plain,
op1(e13,e13) != op1(e13,e12),
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_191,plain,
op2(e23,e20) != op2(e20,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_192,plain,
op2(e20,e20) != op2(e23,e20),
inference(copy,[status(thm)],[c_191]) ).
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_204,plain,
op2(e23,e21) != op2(e22,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_211,plain,
op2(e22,e22) != op2(e21,e22),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_213,plain,
op2(e23,e22) != op2(e22,e22),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_216,plain,
op2(e22,e23) != op2(e20,e23),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_217,plain,
op2(e20,e23) != op2(e22,e23),
inference(copy,[status(thm)],[c_216]) ).
cnf(c_221,plain,
op2(e23,e23) != op2(e21,e23),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_222,plain,
op2(e23,e23) != op2(e22,e23),
inference(clausify,[status(thm)],[ax6]) ).
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_225,plain,
op2(e20,e22) != op2(e20,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_226,plain,
op2(e20,e20) != op2(e20,e22),
inference(copy,[status(thm)],[c_225]) ).
cnf(c_229,plain,
op2(e20,e22) != 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_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_239,plain,
op2(e21,e23) != op2(e21,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_241,plain,
op2(e22,e21) != op2(e22,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_242,plain,
op2(e22,e20) != op2(e22,e21),
inference(copy,[status(thm)],[c_241]) ).
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_245,plain,
op2(e22,e23) != op2(e22,e20),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_246,plain,
op2(e22,e20) != op2(e22,e23),
inference(copy,[status(thm)],[c_245]) ).
cnf(c_247,plain,
op2(e22,e22) != op2(e22,e21),
inference(clausify,[status(thm)],[ax6]) ).
cnf(c_248,plain,
op2(e22,e23) != op2(e22,e21),
inference(clausify,[status(thm)],[ax6]) ).
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_257,plain,
op2(e23,e23) != 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(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_00])],[]) ).
fof(def_defn_10,definition,
( defn_10
<=> ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_10])],[]) ).
fof(def_defn_20,definition,
( defn_20
<=> ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_20])],[]) ).
fof(def_defn_30,definition,
( defn_30
<=> ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_30])],[]) ).
fof(def_defn_40,definition,
( defn_40
<=> ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_40])],[]) ).
fof(def_defn_50,definition,
( defn_50
<=> ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 ) ),
introduced(definition,[new_symbols(definition,[defn_50])],[]) ).
fof(def_defn_60,definition,
( defn_60
<=> ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 ) ),
introduced(definition,[new_symbols(definition,[defn_60])],[]) ).
fof(def_defn_70,definition,
( defn_70
<=> ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 ) ),
introduced(definition,[new_symbols(definition,[defn_70])],[]) ).
fof(def_defn_80,definition,
( defn_80
<=> ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 ) ),
introduced(definition,[new_symbols(definition,[defn_80])],[]) ).
fof(def_defn_90,definition,
( defn_90
<=> ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 ) ),
introduced(definition,[new_symbols(definition,[defn_90])],[]) ).
fof(def_defn_100,definition,
( defn_100
<=> ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 ) ),
introduced(definition,[new_symbols(definition,[defn_100])],[]) ).
fof(def_defn_110,definition,
( defn_110
<=> ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 ) ),
introduced(definition,[new_symbols(definition,[defn_110])],[]) ).
fof(def_defn_120,definition,
( defn_120
<=> ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 ) ),
introduced(definition,[new_symbols(definition,[defn_120])],[]) ).
fof(def_defn_130,definition,
( defn_130
<=> ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 ) ),
introduced(definition,[new_symbols(definition,[defn_130])],[]) ).
fof(def_defn_140,definition,
( defn_140
<=> ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 ) ),
introduced(definition,[new_symbols(definition,[defn_140])],[]) ).
fof(def_defn_150,definition,
( defn_150
<=> ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 ) ),
introduced(definition,[new_symbols(definition,[defn_150])],[]) ).
fof(def_defn_160,definition,
( defn_160
<=> ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 ) ),
introduced(definition,[new_symbols(definition,[defn_160])],[]) ).
fof(def_defn_170,definition,
( defn_170
<=> ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 ) ),
introduced(definition,[new_symbols(definition,[defn_170])],[]) ).
fof(def_defn_180,definition,
( defn_180
<=> ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 ) ),
introduced(definition,[new_symbols(definition,[defn_180])],[]) ).
fof(def_defn_190,definition,
( defn_190
<=> ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 ) ),
introduced(definition,[new_symbols(definition,[defn_190])],[]) ).
cnf(c_303,plain,
( op1(e13,e12) = e13
| op1(e13,e11) = e13
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(clausify,[status(thm)],[ax10,def_defn_00,def_defn_10,def_defn_20,def_defn_30,def_defn_40,def_defn_50,def_defn_60,def_defn_70,def_defn_80,def_defn_90,def_defn_100,def_defn_110,def_defn_120,def_defn_130,def_defn_140,def_defn_150,def_defn_160,def_defn_170,def_defn_180,def_defn_190]) ).
fof(def_defn_200,definition,
( defn_200
<=> ( ( op1(e13,e13) = e10
| op1(e13,e10) != e13 )
& ( op1(e12,e12) = e10
| op1(e12,e10) != e12 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& 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_200])],[]) ).
cnf(c_548,plain,
( op1(e12,e12) = e13
| op1(e12,e13) != e12
| op1(e12,op1(e12,e11)) = e11
| op1(e10,e10) = e11
| op1(e10,e11) != e10
| defn_200 ),
inference(clausify,[status(thm)],[ax10,def_defn_200]) ).
cnf(c_580,plain,
( op1(e13,op1(e13,e13)) = e13
| op1(e13,e13) = e12
| op1(e13,e12) != e13
| op1(e10,e10) = e11
| op1(e10,e11) != e10
| defn_200 ),
inference(clausify,[status(thm)],[ax10,def_defn_200]) ).
cnf(c_687,plain,
( op1(e10,op1(e10,e11)) = e11
| ~ defn_200 ),
inference(clausify,[status(thm)],[ax10,def_defn_200]) ).
cnf(c_691,plain,
( op1(e13,e13) != e10
| ~ defn_190 ),
inference(clausify,[status(thm)],[ax10,def_defn_190]) ).
cnf(c_694,plain,
( op1(e11,e11) = e10
| ~ defn_180 ),
inference(clausify,[status(thm)],[ax10,def_defn_180]) ).
cnf(c_698,plain,
( op1(e11,e11) = e13
| ~ defn_170 ),
inference(clausify,[status(thm)],[ax10,def_defn_170]) ).
cnf(c_704,plain,
( op1(e12,e13) = e12
| ~ defn_160 ),
inference(clausify,[status(thm)],[ax10,def_defn_160]) ).
cnf(c_708,plain,
( op1(e12,e11) = e12
| ~ defn_150 ),
inference(clausify,[status(thm)],[ax10,def_defn_150]) ).
cnf(c_712,plain,
( op1(e12,e11) = e12
| ~ defn_140 ),
inference(clausify,[status(thm)],[ax10,def_defn_140]) ).
cnf(c_713,plain,
( op1(e13,e10) != e13
| ~ defn_130 ),
inference(clausify,[status(thm)],[ax10,def_defn_130]) ).
cnf(c_718,plain,
( op1(e11,e11) = e10
| ~ defn_120 ),
inference(clausify,[status(thm)],[ax10,def_defn_120]) ).
cnf(c_722,plain,
( op1(e12,e12) = e13
| ~ defn_110 ),
inference(clausify,[status(thm)],[ax10,def_defn_110]) ).
cnf(c_728,plain,
( op1(e11,e13) = e11
| ~ defn_100 ),
inference(clausify,[status(thm)],[ax10,def_defn_100]) ).
cnf(c_731,plain,
( op1(e11,e11) != e12
| ~ defn_90 ),
inference(clausify,[status(thm)],[ax10,def_defn_90]) ).
cnf(c_735,plain,
( op1(e11,e11) != e12
| ~ defn_80 ),
inference(clausify,[status(thm)],[ax10,def_defn_80]) ).
cnf(c_737,plain,
( op1(e13,e10) != e13
| ~ defn_70 ),
inference(clausify,[status(thm)],[ax10,def_defn_70]) ).
cnf(c_741,plain,
( op1(e12,e10) != e12
| ~ defn_60 ),
inference(clausify,[status(thm)],[ax10,def_defn_60]) ).
cnf(c_746,plain,
( op1(e12,e12) = e13
| ~ defn_50 ),
inference(clausify,[status(thm)],[ax10,def_defn_50]) ).
cnf(c_750,plain,
( op1(e11,e11) = e13
| ~ defn_40 ),
inference(clausify,[status(thm)],[ax10,def_defn_40]) ).
cnf(c_754,plain,
( op1(e13,e13) = e12
| ~ defn_30 ),
inference(clausify,[status(thm)],[ax10,def_defn_30]) ).
cnf(c_760,plain,
( op1(e10,e12) = e10
| ~ defn_20 ),
inference(clausify,[status(thm)],[ax10,def_defn_20]) ).
cnf(c_762,plain,
( op1(e13,e13) = e11
| ~ defn_10 ),
inference(clausify,[status(thm)],[ax10,def_defn_10]) ).
cnf(c_767,plain,
( op1(e10,e10) != e11
| ~ defn_00 ),
inference(clausify,[status(thm)],[ax10,def_defn_00]) ).
fof(def_defn_210,definition,
( defn_210
<=> ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_210])],[]) ).
fof(def_defn_220,definition,
( defn_220
<=> ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_220])],[]) ).
fof(def_defn_230,definition,
( defn_230
<=> ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_230])],[]) ).
fof(def_defn_240,definition,
( defn_240
<=> ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_240])],[]) ).
fof(def_defn_250,definition,
( defn_250
<=> ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_250])],[]) ).
fof(def_defn_260,definition,
( defn_260
<=> ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 ) ),
introduced(definition,[new_symbols(definition,[defn_260])],[]) ).
fof(def_defn_270,definition,
( defn_270
<=> ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 ) ),
introduced(definition,[new_symbols(definition,[defn_270])],[]) ).
fof(def_defn_280,definition,
( defn_280
<=> ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 ) ),
introduced(definition,[new_symbols(definition,[defn_280])],[]) ).
fof(def_defn_290,definition,
( defn_290
<=> ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 ) ),
introduced(definition,[new_symbols(definition,[defn_290])],[]) ).
fof(def_defn_300,definition,
( defn_300
<=> ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 ) ),
introduced(definition,[new_symbols(definition,[defn_300])],[]) ).
fof(def_defn_310,definition,
( defn_310
<=> ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 ) ),
introduced(definition,[new_symbols(definition,[defn_310])],[]) ).
fof(def_defn_320,definition,
( defn_320
<=> ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 ) ),
introduced(definition,[new_symbols(definition,[defn_320])],[]) ).
fof(def_defn_330,definition,
( defn_330
<=> ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 ) ),
introduced(definition,[new_symbols(definition,[defn_330])],[]) ).
fof(def_defn_340,definition,
( defn_340
<=> ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 ) ),
introduced(definition,[new_symbols(definition,[defn_340])],[]) ).
fof(def_defn_350,definition,
( defn_350
<=> ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 ) ),
introduced(definition,[new_symbols(definition,[defn_350])],[]) ).
fof(def_defn_360,definition,
( defn_360
<=> ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 ) ),
introduced(definition,[new_symbols(definition,[defn_360])],[]) ).
fof(def_defn_370,definition,
( defn_370
<=> ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 ) ),
introduced(definition,[new_symbols(definition,[defn_370])],[]) ).
fof(def_defn_380,definition,
( defn_380
<=> ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 ) ),
introduced(definition,[new_symbols(definition,[defn_380])],[]) ).
fof(def_defn_390,definition,
( defn_390
<=> ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 ) ),
introduced(definition,[new_symbols(definition,[defn_390])],[]) ).
fof(def_defn_400,definition,
( defn_400
<=> ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 ) ),
introduced(definition,[new_symbols(definition,[defn_400])],[]) ).
cnf(c_769,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210 ),
inference(clausify,[status(thm)],[ax11,def_defn_210,def_defn_220,def_defn_230,def_defn_240,def_defn_250,def_defn_260,def_defn_270,def_defn_280,def_defn_290,def_defn_300,def_defn_310,def_defn_320,def_defn_330,def_defn_340,def_defn_350,def_defn_360,def_defn_370,def_defn_380,def_defn_390,def_defn_400]) ).
fof(def_defn_410,definition,
( defn_410
<=> ( ( op2(e23,e23) = e20
| op2(e23,e20) != e23 )
& ( op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& 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_410])],[]) ).
cnf(c_1014,plain,
( op2(e22,e22) = e23
| op2(e22,e23) != e22
| op2(e22,op2(e22,e21)) = e21
| op2(e20,e20) = e21
| op2(e20,e21) != e20
| defn_410 ),
inference(clausify,[status(thm)],[ax11,def_defn_410]) ).
cnf(c_1046,plain,
( op2(e23,op2(e23,e23)) = e23
| op2(e23,e23) = e22
| op2(e23,e22) != e23
| op2(e20,e20) = e21
| op2(e20,e21) != e20
| defn_410 ),
inference(clausify,[status(thm)],[ax11,def_defn_410]) ).
cnf(c_1153,plain,
( op2(e20,op2(e20,e21)) = e21
| ~ defn_410 ),
inference(clausify,[status(thm)],[ax11,def_defn_410]) ).
cnf(c_1157,plain,
( op2(e23,e23) != e20
| ~ defn_400 ),
inference(clausify,[status(thm)],[ax11,def_defn_400]) ).
cnf(c_1160,plain,
( op2(e21,e21) = e20
| ~ defn_390 ),
inference(clausify,[status(thm)],[ax11,def_defn_390]) ).
cnf(c_1164,plain,
( op2(e21,e21) = e23
| ~ defn_380 ),
inference(clausify,[status(thm)],[ax11,def_defn_380]) ).
cnf(c_1168,plain,
( op2(e20,e20) = e23
| ~ defn_370 ),
inference(clausify,[status(thm)],[ax11,def_defn_370]) ).
cnf(c_1174,plain,
( op2(e22,e21) = e22
| ~ defn_360 ),
inference(clausify,[status(thm)],[ax11,def_defn_360]) ).
cnf(c_1178,plain,
( op2(e22,e21) = e22
| ~ defn_350 ),
inference(clausify,[status(thm)],[ax11,def_defn_350]) ).
cnf(c_1179,plain,
( op2(e23,e20) != e23
| ~ defn_340 ),
inference(clausify,[status(thm)],[ax11,def_defn_340]) ).
cnf(c_1184,plain,
( op2(e21,e21) = e20
| ~ defn_330 ),
inference(clausify,[status(thm)],[ax11,def_defn_330]) ).
cnf(c_1188,plain,
( op2(e22,e22) = e23
| ~ defn_320 ),
inference(clausify,[status(thm)],[ax11,def_defn_320]) ).
cnf(c_1192,plain,
( op2(e20,e20) = e23
| ~ defn_310 ),
inference(clausify,[status(thm)],[ax11,def_defn_310]) ).
cnf(c_1197,plain,
( op2(e21,e21) != e22
| ~ defn_300 ),
inference(clausify,[status(thm)],[ax11,def_defn_300]) ).
cnf(c_1201,plain,
( op2(e21,e21) != e22
| ~ defn_290 ),
inference(clausify,[status(thm)],[ax11,def_defn_290]) ).
cnf(c_1206,plain,
( op2(e21,e20) = e21
| ~ defn_280 ),
inference(clausify,[status(thm)],[ax11,def_defn_280]) ).
cnf(c_1210,plain,
( op2(e21,e20) = e21
| ~ defn_270 ),
inference(clausify,[status(thm)],[ax11,def_defn_270]) ).
cnf(c_1212,plain,
( op2(e22,e22) = e23
| ~ defn_260 ),
inference(clausify,[status(thm)],[ax11,def_defn_260]) ).
cnf(c_1216,plain,
( op2(e21,e21) = e23
| ~ defn_250 ),
inference(clausify,[status(thm)],[ax11,def_defn_250]) ).
cnf(c_1220,plain,
( op2(e23,e23) = e22
| ~ defn_240 ),
inference(clausify,[status(thm)],[ax11,def_defn_240]) ).
cnf(c_1226,plain,
( op2(e20,e22) = e20
| ~ defn_230 ),
inference(clausify,[status(thm)],[ax11,def_defn_230]) ).
cnf(c_1228,plain,
( op2(e23,e23) = e21
| ~ defn_220 ),
inference(clausify,[status(thm)],[ax11,def_defn_220]) ).
cnf(c_1233,plain,
( op2(e20,e20) != e21
| ~ defn_210 ),
inference(clausify,[status(thm)],[ax11,def_defn_210]) ).
cnf(c_1235,plain,
op1(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) = e10,
inference(clausify,[status(thm)],[ax12]) ).
cnf(c_1236,plain,
op1(e11,e11) = e12,
inference(clausify,[status(thm)],[ax12]) ).
cnf(c_1237,plain,
op1(op1(e11,e11),e11) = e13,
inference(clausify,[status(thm)],[ax12]) ).
cnf(c_1238,plain,
op1(e12,e11) = e13,
inference(paramod,[status(thm)],[c_1236,c_1237]) ).
cnf(c_1239,plain,
op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) = e20,
inference(clausify,[status(thm)],[ax13]) ).
cnf(c_1240,plain,
op2(e21,e21) = e22,
inference(clausify,[status(thm)],[ax13]) ).
cnf(c_1241,plain,
op2(op2(e21,e21),e21) = e23,
inference(clausify,[status(thm)],[ax13]) ).
cnf(c_1242,plain,
op2(e22,e21) = e23,
inference(paramod,[status(thm)],[c_1240,c_1241]) ).
cnf(c_1246,plain,
h1(e12) = op2(e20,e20),
inference(clausify,[status(thm)],[ax14]) ).
cnf(c_1247,plain,
op2(e20,e20) = h1(e12),
inference(copy,[status(thm)],[c_1246]) ).
cnf(c_1248,plain,
h1(e13) = op2(op2(e20,e20),e20),
inference(clausify,[status(thm)],[ax14]) ).
cnf(c_5712,plain,
h1(e13) = op2(h1(e12),e20),
inference(paramod,[status(thm)],[c_1247,c_1248]) ).
cnf(c_1249,plain,
op2(h1(e12),e20) = h1(e13),
inference(copy,[status(thm)],[c_5712]) ).
cnf(c_1250,plain,
h2(e11) = e21,
inference(clausify,[status(thm)],[ax15]) ).
cnf(c_1251,plain,
h2(e10) = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)),
inference(clausify,[status(thm)],[ax15]) ).
cnf(c_5713,plain,
h2(e10) = op2(op2(e22,e21),op2(op2(e21,e21),e21)),
inference(paramod,[status(thm)],[c_1240,c_1251]) ).
cnf(c_5714,plain,
h2(e10) = op2(e23,op2(op2(e21,e21),e21)),
inference(paramod,[status(thm)],[c_1242,c_5713]) ).
cnf(c_5715,plain,
h2(e10) = op2(e23,op2(e22,e21)),
inference(paramod,[status(thm)],[c_1240,c_5714]) ).
cnf(c_5716,plain,
h2(e10) = op2(e23,e23),
inference(paramod,[status(thm)],[c_1242,c_5715]) ).
cnf(c_1252,plain,
op2(e23,e23) = h2(e10),
inference(copy,[status(thm)],[c_5716]) ).
cnf(c_1253,plain,
h2(e12) = op2(e21,e21),
inference(clausify,[status(thm)],[ax15]) ).
cnf(c_1254,plain,
h2(e12) = e22,
inference(paramod,[status(thm)],[c_1240,c_1253]) ).
cnf(c_1255,plain,
h2(e13) = op2(op2(e21,e21),e21),
inference(clausify,[status(thm)],[ax15]) ).
cnf(c_5717,plain,
h2(e13) = op2(e22,e21),
inference(paramod,[status(thm)],[c_1240,c_1255]) ).
cnf(c_1256,plain,
h2(e13) = e23,
inference(paramod,[status(thm)],[c_1242,c_5717]) ).
cnf(c_1260,plain,
h3(e12) = op2(e22,e22),
inference(clausify,[status(thm)],[ax16]) ).
cnf(c_1261,plain,
op2(e22,e22) = h3(e12),
inference(copy,[status(thm)],[c_1260]) ).
cnf(c_1269,plain,
h4(e13) = op2(op2(e23,e23),e23),
inference(clausify,[status(thm)],[ax17]) ).
cnf(c_5718,plain,
h4(e13) = op2(h2(e10),e23),
inference(paramod,[status(thm)],[c_1252,c_1269]) ).
cnf(c_1270,plain,
op2(h2(e10),e23) = h4(e13),
inference(copy,[status(thm)],[c_5718]) ).
cnf(c_1615,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_5719,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),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1250,c_1615]) ).
cnf(c_5720,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),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1254,c_5719]) ).
cnf(c_5721,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),e23)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1256,c_5720]) ).
cnf(c_5722,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)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1270,c_5721]) ).
cnf(c_5723,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)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1250,c_5722]) ).
cnf(c_5724,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(e12) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1236,c_5723]) ).
cnf(c_5725,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))
| e22 != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1254,c_5724]) ).
cnf(c_5726,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))
| e22 != op2(e21,h2(e11))
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1250,c_5725]) ).
cnf(c_5727,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))
| e22 != op2(e21,e21)
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1250,c_5726]) ).
cnf(c_5728,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))
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1240,c_5727]) ).
cnf(c_5729,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))
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1250,c_5728]) ).
cnf(c_5730,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,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1254,c_5729]) ).
cnf(c_5731,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,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1250,c_5730]) ).
cnf(c_5732,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,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1256,c_5731]) ).
cnf(c_5733,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(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1254,c_5732]) ).
cnf(c_5734,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(e13) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1238,c_5733]) ).
cnf(c_5735,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))
| e23 != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1256,c_5734]) ).
cnf(c_5736,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))
| e23 != op2(e22,h2(e11))
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1254,c_5735]) ).
cnf(c_5737,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))
| e23 != op2(e22,e21)
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1250,c_5736]) ).
cnf(c_5738,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))
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1242,c_5737]) ).
cnf(c_5739,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(e22,h2(e12))
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1254,c_5738]) ).
cnf(c_5740,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(e22,e22)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1254,c_5739]) ).
cnf(c_5741,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)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1261,c_5740]) ).
cnf(c_5742,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(e22,h2(e13))
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1254,c_5741]) ).
cnf(c_5743,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(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1256,c_5742]) ).
cnf(c_5744,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(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1256,c_5743]) ).
cnf(c_5745,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)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1256,c_5744]) ).
cnf(c_5746,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)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1250,c_5745]) ).
cnf(c_5747,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)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1256,c_5746]) ).
cnf(c_5748,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,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1254,c_5747]) ).
cnf(c_5749,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,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1256,c_5748]) ).
cnf(c_5750,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,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1256,c_5749]) ).
cnf(c_5751,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| h2(e11) != e21
| h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1252,c_5750]) ).
cnf(c_5752,negated_conjecture,
( h2(e13) != e23
| h2(e12) != e22
| e21 != e21
| h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1250,c_5751]) ).
cnf(c_5753,negated_conjecture,
( h2(e13) != e23
| e22 != e22
| e21 != e21
| h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1254,c_5752]) ).
cnf(c_5754,negated_conjecture,
( e23 != e23
| e22 != e22
| e21 != e21
| h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(paramod,[status(thm)],[c_1256,c_5753]) ).
cnf(c_5755,negated_conjecture,
( e23 != e23
| e22 != e22
| e21 != e21
| h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| e22 != e22
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) ),
inference(copy,[status(thm)],[c_5754]) ).
cnf(c_5756,negated_conjecture,
( e23 != e23
| e22 != e22
| e21 != e21
| h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| e23 != e23
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) ),
inference(copy,[status(thm)],[c_5755]) ).
cnf(c_5757,negated_conjecture,
( e23 != e23
| e22 != e22
| e21 != e21
| h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) ),
inference(copy,[status(thm)],[c_5756]) ).
cnf(c_5758,negated_conjecture,
( e23 != e23
| e22 != e22
| h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) ),
inference(copy,[status(thm)],[c_5757]) ).
cnf(c_5759,negated_conjecture,
( e23 != e23
| h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) ),
inference(copy,[status(thm)],[c_5758]) ).
cnf(c_1616,negated_conjecture,
( h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) ),
inference(copy,[status(thm)],[c_5759]) ).
cnf(c_5760,plain,
op1(op1(e12,e11),op1(op1(e11,e11),e11)) = e10,
inference(paramod,[status(thm)],[c_1236,c_1235]) ).
cnf(c_5761,plain,
op1(e13,op1(op1(e11,e11),e11)) = e10,
inference(paramod,[status(thm)],[c_1238,c_5760]) ).
cnf(c_5762,plain,
op1(e13,op1(e12,e11)) = e10,
inference(paramod,[status(thm)],[c_1236,c_5761]) ).
cnf(c_2465,plain,
op1(e13,e13) = e10,
inference(paramod,[status(thm)],[c_1238,c_5762]) ).
cnf(c_5763,plain,
( e12 = e13
| ~ defn_40 ),
inference(paramod,[status(thm)],[c_1236,c_750]) ).
cnf(c_5764,plain,
( e13 = e12
| ~ defn_40 ),
inference(copy,[status(thm)],[c_5763]) ).
cnf(c_2466,plain,
~ defn_40,
inference(resolve,[status(thm)],[c_267,c_5764]) ).
cnf(c_5765,plain,
( e12 != e12
| ~ defn_80 ),
inference(paramod,[status(thm)],[c_1236,c_735]) ).
cnf(c_2467,plain,
~ defn_80,
inference(copy,[status(thm)],[c_5765]) ).
cnf(c_5766,plain,
( e12 != e12
| ~ defn_90 ),
inference(paramod,[status(thm)],[c_1236,c_731]) ).
cnf(c_2468,plain,
~ defn_90,
inference(copy,[status(thm)],[c_5766]) ).
cnf(c_5767,plain,
( e12 = e10
| ~ defn_120 ),
inference(paramod,[status(thm)],[c_1236,c_718]) ).
cnf(c_5768,plain,
( e10 = e12
| ~ defn_120 ),
inference(copy,[status(thm)],[c_5767]) ).
cnf(c_2469,plain,
~ defn_120,
inference(resolve,[status(thm)],[c_262,c_5768]) ).
cnf(c_5769,plain,
( e12 = e13
| ~ defn_170 ),
inference(paramod,[status(thm)],[c_1236,c_698]) ).
cnf(c_5770,plain,
( e13 = e12
| ~ defn_170 ),
inference(copy,[status(thm)],[c_5769]) ).
cnf(c_2470,plain,
~ defn_170,
inference(resolve,[status(thm)],[c_267,c_5770]) ).
cnf(c_5771,plain,
( e12 = e10
| ~ defn_180 ),
inference(paramod,[status(thm)],[c_1236,c_694]) ).
cnf(c_5772,plain,
( e10 = e12
| ~ defn_180 ),
inference(copy,[status(thm)],[c_5771]) ).
cnf(c_2471,plain,
~ defn_180,
inference(resolve,[status(thm)],[c_262,c_5772]) ).
cnf(c_2545,plain,
op1(e11,e13) != e12,
inference(paramod,[status(thm)],[c_1236,c_167]) ).
cnf(c_2547,plain,
op1(e11,e10) != e12,
inference(paramod,[status(thm)],[c_1236,c_161]) ).
cnf(c_2548,plain,
op1(e13,e11) != e12,
inference(paramod,[status(thm)],[c_1236,c_131]) ).
cnf(c_2549,plain,
op1(e10,e11) != e12,
inference(paramod,[status(thm)],[c_1236,c_125]) ).
cnf(c_5773,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| e12 = e10
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_1236,c_44]) ).
cnf(c_5774,plain,
( op1(e13,e11) = e10
| e13 = e10
| e12 = e10
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_1238,c_5773]) ).
cnf(c_5775,plain,
( op1(e13,e11) = e10
| e13 = e10
| e10 = e12
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_5774]) ).
cnf(c_5776,plain,
( op1(e13,e11) = e10
| e10 = e13
| e10 = e12
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_5775]) ).
cnf(c_5777,plain,
( op1(e13,e11) = e10
| e10 = e13
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_262,c_5776]) ).
cnf(c_2553,plain,
( op1(e13,e11) = e10
| op1(e10,e11) = e10 ),
inference(resolve,[status(thm)],[c_264,c_5777]) ).
cnf(c_5778,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| e12 = e10
| op1(e11,e10) = e10 ),
inference(paramod,[status(thm)],[c_1236,c_43]) ).
cnf(c_5779,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| e10 = e12
| op1(e11,e10) = e10 ),
inference(copy,[status(thm)],[c_5778]) ).
cnf(c_2554,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e10) = e10 ),
inference(resolve,[status(thm)],[c_262,c_5779]) ).
cnf(c_5780,plain,
( e13 = e12
| ~ defn_140 ),
inference(paramod,[status(thm)],[c_1238,c_712]) ).
cnf(c_2555,plain,
~ defn_140,
inference(resolve,[status(thm)],[c_267,c_5780]) ).
cnf(c_5781,plain,
( e13 = e12
| ~ defn_150 ),
inference(paramod,[status(thm)],[c_1238,c_708]) ).
cnf(c_2556,plain,
~ defn_150,
inference(resolve,[status(thm)],[c_267,c_5781]) ).
cnf(c_2563,plain,
( op1(e12,e12) = e13
| op1(e12,e13) != e12
| op1(e12,e13) = e11
| op1(e10,e10) = e11
| op1(e10,e11) != e10
| defn_200 ),
inference(paramod,[status(thm)],[c_1238,c_548]) ).
cnf(c_2587,plain,
op1(e12,e13) != e13,
inference(paramod,[status(thm)],[c_1238,c_176]) ).
cnf(c_2588,plain,
op1(e12,e12) != e13,
inference(paramod,[status(thm)],[c_1238,c_175]) ).
cnf(c_2589,plain,
op1(e12,e10) != e13,
inference(paramod,[status(thm)],[c_1238,c_170]) ).
cnf(c_2590,plain,
op1(e13,e11) != e13,
inference(paramod,[status(thm)],[c_1238,c_132]) ).
cnf(c_5782,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| e13 = e11
| op1(e12,e10) = e11 ),
inference(paramod,[status(thm)],[c_1238,c_53]) ).
cnf(c_2593,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[status(thm)],[c_266,c_5782]) ).
cnf(c_5783,plain,
op2(op2(e22,e21),op2(op2(e21,e21),e21)) = e20,
inference(paramod,[status(thm)],[c_1240,c_1239]) ).
cnf(c_5784,plain,
op2(e23,op2(op2(e21,e21),e21)) = e20,
inference(paramod,[status(thm)],[c_1242,c_5783]) ).
cnf(c_5785,plain,
op2(e23,op2(e22,e21)) = e20,
inference(paramod,[status(thm)],[c_1240,c_5784]) ).
cnf(c_5786,plain,
op2(e23,e23) = e20,
inference(paramod,[status(thm)],[c_1242,c_5785]) ).
cnf(c_2595,plain,
h2(e10) = e20,
inference(paramod,[status(thm)],[c_1252,c_5786]) ).
cnf(c_5787,plain,
( e22 = e23
| ~ defn_250 ),
inference(paramod,[status(thm)],[c_1240,c_1216]) ).
cnf(c_5788,plain,
( e23 = e22
| ~ defn_250 ),
inference(copy,[status(thm)],[c_5787]) ).
cnf(c_2596,plain,
~ defn_250,
inference(resolve,[status(thm)],[c_276,c_5788]) ).
cnf(c_5789,plain,
( e22 != e22
| ~ defn_290 ),
inference(paramod,[status(thm)],[c_1240,c_1201]) ).
cnf(c_2597,plain,
~ defn_290,
inference(copy,[status(thm)],[c_5789]) ).
cnf(c_5790,plain,
( e22 != e22
| ~ defn_300 ),
inference(paramod,[status(thm)],[c_1240,c_1197]) ).
cnf(c_2598,plain,
~ defn_300,
inference(copy,[status(thm)],[c_5790]) ).
cnf(c_5791,plain,
( e22 = e20
| ~ defn_330 ),
inference(paramod,[status(thm)],[c_1240,c_1184]) ).
cnf(c_5792,plain,
( e20 = e22
| ~ defn_330 ),
inference(copy,[status(thm)],[c_5791]) ).
cnf(c_2599,plain,
~ defn_330,
inference(resolve,[status(thm)],[c_271,c_5792]) ).
cnf(c_5793,plain,
( e22 = e23
| ~ defn_380 ),
inference(paramod,[status(thm)],[c_1240,c_1164]) ).
cnf(c_5794,plain,
( e23 = e22
| ~ defn_380 ),
inference(copy,[status(thm)],[c_5793]) ).
cnf(c_2600,plain,
~ defn_380,
inference(resolve,[status(thm)],[c_276,c_5794]) ).
cnf(c_5795,plain,
( e22 = e20
| ~ defn_390 ),
inference(paramod,[status(thm)],[c_1240,c_1160]) ).
cnf(c_5796,plain,
( e20 = e22
| ~ defn_390 ),
inference(copy,[status(thm)],[c_5795]) ).
cnf(c_2601,plain,
~ defn_390,
inference(resolve,[status(thm)],[c_271,c_5796]) ).
cnf(c_2675,plain,
op2(e21,e23) != e22,
inference(paramod,[status(thm)],[c_1240,c_239]) ).
cnf(c_2678,plain,
op2(e23,e21) != e22,
inference(paramod,[status(thm)],[c_1240,c_203]) ).
cnf(c_5797,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| e22 = e20
| op2(e20,e21) = e20 ),
inference(paramod,[status(thm)],[c_1240,c_92]) ).
cnf(c_5798,plain,
( op2(e23,e21) = e20
| e23 = e20
| e22 = e20
| op2(e20,e21) = e20 ),
inference(paramod,[status(thm)],[c_1242,c_5797]) ).
cnf(c_5799,plain,
( op2(e23,e21) = e20
| e23 = e20
| e20 = e22
| op2(e20,e21) = e20 ),
inference(copy,[status(thm)],[c_5798]) ).
cnf(c_5800,plain,
( op2(e23,e21) = e20
| e20 = e23
| e20 = e22
| op2(e20,e21) = e20 ),
inference(copy,[status(thm)],[c_5799]) ).
cnf(c_5801,plain,
( op2(e23,e21) = e20
| e20 = e23
| op2(e20,e21) = e20 ),
inference(resolve,[status(thm)],[c_271,c_5800]) ).
cnf(c_2683,plain,
( op2(e23,e21) = e20
| op2(e20,e21) = e20 ),
inference(resolve,[status(thm)],[c_273,c_5801]) ).
cnf(c_5802,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| e22 = e20
| op2(e21,e20) = e20 ),
inference(paramod,[status(thm)],[c_1240,c_91]) ).
cnf(c_5803,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| e20 = e22
| op2(e21,e20) = e20 ),
inference(copy,[status(thm)],[c_5802]) ).
cnf(c_2684,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[status(thm)],[c_271,c_5803]) ).
cnf(c_5804,plain,
( e23 = e22
| ~ defn_350 ),
inference(paramod,[status(thm)],[c_1242,c_1178]) ).
cnf(c_2685,plain,
~ defn_350,
inference(resolve,[status(thm)],[c_276,c_5804]) ).
cnf(c_5805,plain,
( e23 = e22
| ~ defn_360 ),
inference(paramod,[status(thm)],[c_1242,c_1174]) ).
cnf(c_2686,plain,
~ defn_360,
inference(resolve,[status(thm)],[c_276,c_5805]) ).
cnf(c_5806,plain,
( op2(e22,e22) = e23
| op2(e22,e23) != e22
| op2(e22,op2(e22,e21)) = e21
| h1(e12) = e21
| op2(e20,e21) != e20
| defn_410 ),
inference(paramod,[status(thm)],[c_1247,c_1014]) ).
cnf(c_5807,plain,
( op2(e22,e22) = e23
| op2(e22,e23) != e22
| op2(e22,e23) = e21
| h1(e12) = e21
| op2(e20,e21) != e20
| defn_410 ),
inference(paramod,[status(thm)],[c_1242,c_5806]) ).
cnf(c_2693,plain,
( h3(e12) = e23
| op2(e22,e23) != e22
| op2(e22,e23) = e21
| h1(e12) = e21
| op2(e20,e21) != e20
| defn_410 ),
inference(paramod,[status(thm)],[c_1261,c_5807]) ).
cnf(c_2717,plain,
op2(e22,e23) != e23,
inference(paramod,[status(thm)],[c_1242,c_248]) ).
cnf(c_5808,plain,
h3(e12) != op2(e22,e21),
inference(paramod,[status(thm)],[c_1261,c_247]) ).
cnf(c_2718,plain,
h3(e12) != e23,
inference(paramod,[status(thm)],[c_1242,c_5808]) ).
cnf(c_2719,plain,
op2(e22,e20) != e23,
inference(paramod,[status(thm)],[c_1242,c_242]) ).
cnf(c_2720,plain,
op2(e23,e21) != e23,
inference(paramod,[status(thm)],[c_1242,c_204]) ).
cnf(c_2721,plain,
op2(e20,e21) != e23,
inference(paramod,[status(thm)],[c_1242,c_199]) ).
cnf(c_5809,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| e23 = e22
| op2(e22,e20) = e22 ),
inference(paramod,[status(thm)],[c_1242,c_103]) ).
cnf(c_5810,plain,
( op2(e22,e23) = e22
| h3(e12) = e22
| e23 = e22
| op2(e22,e20) = e22 ),
inference(paramod,[status(thm)],[c_1261,c_5809]) ).
cnf(c_2722,plain,
( op2(e22,e23) = e22
| h3(e12) = e22
| op2(e22,e20) = e22 ),
inference(resolve,[status(thm)],[c_276,c_5810]) ).
cnf(c_5811,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| e23 = e21
| op2(e22,e20) = e21 ),
inference(paramod,[status(thm)],[c_1242,c_101]) ).
cnf(c_5812,plain,
( op2(e22,e23) = e21
| h3(e12) = e21
| e23 = e21
| op2(e22,e20) = e21 ),
inference(paramod,[status(thm)],[c_1261,c_5811]) ).
cnf(c_2723,plain,
( op2(e22,e23) = e21
| h3(e12) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[status(thm)],[c_275,c_5812]) ).
cnf(c_5813,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| e23 = e20
| op2(e22,e20) = e20 ),
inference(paramod,[status(thm)],[c_1242,c_99]) ).
cnf(c_5814,plain,
( op2(e22,e23) = e20
| h3(e12) = e20
| e23 = e20
| op2(e22,e20) = e20 ),
inference(paramod,[status(thm)],[c_1261,c_5813]) ).
cnf(c_5815,plain,
( op2(e22,e23) = e20
| h3(e12) = e20
| e20 = e23
| op2(e22,e20) = e20 ),
inference(copy,[status(thm)],[c_5814]) ).
cnf(c_2724,plain,
( op2(e22,e23) = e20
| h3(e12) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[status(thm)],[c_273,c_5815]) ).
cnf(c_2726,plain,
( h1(e12) != e21
| ~ defn_210 ),
inference(paramod,[status(thm)],[c_1247,c_1233]) ).
cnf(c_2731,plain,
( h1(e12) = e23
| ~ defn_310 ),
inference(paramod,[status(thm)],[c_1247,c_1192]) ).
cnf(c_2732,plain,
( h1(e12) = e23
| ~ defn_370 ),
inference(paramod,[status(thm)],[c_1247,c_1168]) ).
cnf(c_5816,plain,
( op2(e23,op2(e23,e23)) = e23
| op2(e23,e23) = e22
| op2(e23,e22) != e23
| h1(e12) = e21
| op2(e20,e21) != e20
| defn_410 ),
inference(paramod,[status(thm)],[c_1247,c_1046]) ).
cnf(c_5817,plain,
( op2(e23,op2(e23,e23)) = e23
| h2(e10) = e22
| op2(e23,e22) != e23
| h1(e12) = e21
| op2(e20,e21) != e20
| defn_410 ),
inference(paramod,[status(thm)],[c_1252,c_5816]) ).
cnf(c_5818,plain,
( op2(e23,op2(e23,e23)) = e23
| e20 = e22
| op2(e23,e22) != e23
| h1(e12) = e21
| op2(e20,e21) != e20
| defn_410 ),
inference(paramod,[status(thm)],[c_2595,c_5817]) ).
cnf(c_5819,plain,
( op2(e23,h2(e10)) = e23
| e20 = e22
| op2(e23,e22) != e23
| h1(e12) = e21
| op2(e20,e21) != e20
| defn_410 ),
inference(paramod,[status(thm)],[c_1252,c_5818]) ).
cnf(c_5820,plain,
( op2(e23,e20) = e23
| e20 = e22
| op2(e23,e22) != e23
| h1(e12) = e21
| op2(e20,e21) != e20
| defn_410 ),
inference(paramod,[status(thm)],[c_2595,c_5819]) ).
cnf(c_2736,plain,
( op2(e23,e20) = e23
| op2(e23,e22) != e23
| h1(e12) = e21
| op2(e20,e21) != e20
| defn_410 ),
inference(resolve,[status(thm)],[c_271,c_5820]) ).
cnf(c_5821,plain,
h1(e12) != op2(e20,e22),
inference(paramod,[status(thm)],[c_1247,c_226]) ).
cnf(c_2800,plain,
op2(e20,e22) != h1(e12),
inference(copy,[status(thm)],[c_5821]) ).
cnf(c_5822,plain,
h1(e12) != op2(e20,e21),
inference(paramod,[status(thm)],[c_1247,c_224]) ).
cnf(c_2801,plain,
op2(e20,e21) != h1(e12),
inference(copy,[status(thm)],[c_5822]) ).
cnf(c_5823,plain,
h1(e12) != op2(e23,e20),
inference(paramod,[status(thm)],[c_1247,c_192]) ).
cnf(c_2802,plain,
op2(e23,e20) != h1(e12),
inference(copy,[status(thm)],[c_5823]) ).
cnf(c_5824,plain,
h1(e12) != op2(e21,e20),
inference(paramod,[status(thm)],[c_1247,c_188]) ).
cnf(c_2804,plain,
op2(e21,e20) != h1(e12),
inference(copy,[status(thm)],[c_5824]) ).
cnf(c_5825,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| h1(e12) = e23 ),
inference(paramod,[status(thm)],[c_1247,c_90]) ).
cnf(c_2805,plain,
( op2(e23,e20) = e23
| op2(e21,e20) = e23
| h1(e12) = e23 ),
inference(resolve,[status(thm)],[c_2719,c_5825]) ).
cnf(c_5826,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| h1(e12) = e23 ),
inference(paramod,[status(thm)],[c_1247,c_89]) ).
cnf(c_2806,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| h1(e12) = e23 ),
inference(resolve,[status(thm)],[c_2721,c_5826]) ).
cnf(c_2809,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_1247,c_86]) ).
cnf(c_2811,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| h1(e12) = e20 ),
inference(paramod,[status(thm)],[c_1247,c_84]) ).
cnf(c_5827,plain,
( h2(e10) = e21
| ~ defn_220 ),
inference(paramod,[status(thm)],[c_1252,c_1228]) ).
cnf(c_5828,plain,
( e20 = e21
| ~ defn_220 ),
inference(paramod,[status(thm)],[c_2595,c_5827]) ).
cnf(c_2814,plain,
~ defn_220,
inference(resolve,[status(thm)],[c_269,c_5828]) ).
cnf(c_5829,plain,
( h2(e10) = e22
| ~ defn_240 ),
inference(paramod,[status(thm)],[c_1252,c_1220]) ).
cnf(c_5830,plain,
( e20 = e22
| ~ defn_240 ),
inference(paramod,[status(thm)],[c_2595,c_5829]) ).
cnf(c_2815,plain,
~ defn_240,
inference(resolve,[status(thm)],[c_271,c_5830]) ).
cnf(c_5831,plain,
( h2(e10) != e20
| ~ defn_400 ),
inference(paramod,[status(thm)],[c_1252,c_1157]) ).
cnf(c_5832,plain,
( e20 != e20
| ~ defn_400 ),
inference(paramod,[status(thm)],[c_2595,c_5831]) ).
cnf(c_2816,plain,
~ defn_400,
inference(copy,[status(thm)],[c_5832]) ).
cnf(c_5833,plain,
h2(e10) != op2(e23,e22),
inference(paramod,[status(thm)],[c_1252,c_258]) ).
cnf(c_5834,plain,
e20 != op2(e23,e22),
inference(paramod,[status(thm)],[c_2595,c_5833]) ).
cnf(c_2841,plain,
op2(e23,e22) != e20,
inference(copy,[status(thm)],[c_5834]) ).
cnf(c_5835,plain,
h2(e10) != op2(e23,e21),
inference(paramod,[status(thm)],[c_1252,c_257]) ).
cnf(c_5836,plain,
e20 != op2(e23,e21),
inference(paramod,[status(thm)],[c_2595,c_5835]) ).
cnf(c_2842,plain,
op2(e23,e21) != e20,
inference(copy,[status(thm)],[c_5836]) ).
cnf(c_5837,plain,
op2(e23,e20) != h2(e10),
inference(paramod,[status(thm)],[c_1252,c_255]) ).
cnf(c_2843,plain,
op2(e23,e20) != e20,
inference(paramod,[status(thm)],[c_2595,c_5837]) ).
cnf(c_5838,plain,
h2(e10) != op2(e22,e23),
inference(paramod,[status(thm)],[c_1252,c_222]) ).
cnf(c_5839,plain,
e20 != op2(e22,e23),
inference(paramod,[status(thm)],[c_2595,c_5838]) ).
cnf(c_2844,plain,
op2(e22,e23) != e20,
inference(copy,[status(thm)],[c_5839]) ).
cnf(c_5840,plain,
h2(e10) != op2(e21,e23),
inference(paramod,[status(thm)],[c_1252,c_221]) ).
cnf(c_5841,plain,
e20 != op2(e21,e23),
inference(paramod,[status(thm)],[c_2595,c_5840]) ).
cnf(c_2845,plain,
op2(e21,e23) != e20,
inference(copy,[status(thm)],[c_5841]) ).
cnf(c_5842,plain,
( h2(e10) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(paramod,[status(thm)],[c_1252,c_113]) ).
cnf(c_5843,plain,
( e20 = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(paramod,[status(thm)],[c_2595,c_5842]) ).
cnf(c_5844,plain,
( e20 = e23
| op2(e23,e22) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[status(thm)],[c_2720,c_5843]) ).
cnf(c_2848,plain,
( op2(e23,e22) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[status(thm)],[c_273,c_5844]) ).
cnf(c_5845,plain,
( h2(e10) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(paramod,[status(thm)],[c_1252,c_112]) ).
cnf(c_5846,plain,
( e20 = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(paramod,[status(thm)],[c_2595,c_5845]) ).
cnf(c_5847,plain,
( e20 = e22
| op2(e22,e23) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[status(thm)],[c_2675,c_5846]) ).
cnf(c_2849,plain,
( op2(e22,e23) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[status(thm)],[c_271,c_5847]) ).
cnf(c_5848,plain,
( h2(e10) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(paramod,[status(thm)],[c_1252,c_111]) ).
cnf(c_5849,plain,
( e20 = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(paramod,[status(thm)],[c_2595,c_5848]) ).
cnf(c_5850,plain,
( e20 = e22
| op2(e23,e22) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[status(thm)],[c_2678,c_5849]) ).
cnf(c_2850,plain,
( op2(e23,e22) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[status(thm)],[c_271,c_5850]) ).
cnf(c_5851,plain,
( h3(e12) = e23
| ~ defn_260 ),
inference(paramod,[status(thm)],[c_1261,c_1212]) ).
cnf(c_2855,plain,
~ defn_260,
inference(resolve,[status(thm)],[c_2718,c_5851]) ).
cnf(c_5852,plain,
( h3(e12) = e23
| ~ defn_320 ),
inference(paramod,[status(thm)],[c_1261,c_1188]) ).
cnf(c_2857,plain,
~ defn_320,
inference(resolve,[status(thm)],[c_2718,c_5852]) ).
cnf(c_2881,plain,
op2(e22,e20) != h3(e12),
inference(paramod,[status(thm)],[c_1261,c_244]) ).
cnf(c_2882,plain,
op2(e23,e22) != h3(e12),
inference(paramod,[status(thm)],[c_1261,c_213]) ).
cnf(c_5853,plain,
h3(e12) != op2(e21,e22),
inference(paramod,[status(thm)],[c_1261,c_211]) ).
cnf(c_2883,plain,
op2(e21,e22) != h3(e12),
inference(copy,[status(thm)],[c_5853]) ).
cnf(c_5854,negated_conjecture,
( h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| op2(e20,h2(e10)) != h2(op1(e10,e10)) ),
inference(paramod,[status(thm)],[c_2595,c_1616]) ).
cnf(c_5855,negated_conjecture,
( h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| op2(e20,e20) != h2(op1(e10,e10)) ),
inference(paramod,[status(thm)],[c_2595,c_5854]) ).
cnf(c_5856,negated_conjecture,
( h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(h2(e10),e21)
| h1(e12) != h2(op1(e10,e10)) ),
inference(paramod,[status(thm)],[c_1247,c_5855]) ).
cnf(c_5857,negated_conjecture,
( h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(h2(e10),e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| h1(e12) != h2(op1(e10,e10)) ),
inference(paramod,[status(thm)],[c_2595,c_5856]) ).
cnf(c_5858,negated_conjecture,
( h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,h2(e10))
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| h1(e12) != h2(op1(e10,e10)) ),
inference(paramod,[status(thm)],[c_2595,c_5857]) ).
cnf(c_5859,negated_conjecture,
( h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,h2(e10))
| 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| h1(e12) != h2(op1(e10,e10)) ),
inference(paramod,[status(thm)],[c_2595,c_5858]) ).
cnf(c_5860,negated_conjecture,
( h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| h1(e12) != h2(op1(e10,e10)) ),
inference(paramod,[status(thm)],[c_2595,c_5859]) ).
cnf(c_5861,negated_conjecture,
( h2(e10) != e20
| h2(op1(e13,e13)) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| h1(e12) != h2(op1(e10,e10)) ),
inference(paramod,[status(thm)],[c_2595,c_5860]) ).
cnf(c_5862,negated_conjecture,
( h2(e10) != e20
| h2(e10) != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| h1(e12) != h2(op1(e10,e10)) ),
inference(paramod,[status(thm)],[c_2465,c_5861]) ).
cnf(c_5863,negated_conjecture,
( h2(e10) != e20
| e20 != h2(e10)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| h1(e12) != h2(op1(e10,e10)) ),
inference(paramod,[status(thm)],[c_2595,c_5862]) ).
cnf(c_5864,negated_conjecture,
( h2(e10) != e20
| e20 != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| h1(e12) != h2(op1(e10,e10)) ),
inference(paramod,[status(thm)],[c_2595,c_5863]) ).
cnf(c_5865,negated_conjecture,
( e20 != e20
| e20 != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| h1(e12) != h2(op1(e10,e10)) ),
inference(paramod,[status(thm)],[c_2595,c_5864]) ).
cnf(c_5866,negated_conjecture,
( e20 != e20
| e20 != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| h2(op1(e10,e10)) != h1(e12) ),
inference(copy,[status(thm)],[c_5865]) ).
cnf(c_5867,negated_conjecture,
( e20 != e20
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| h2(op1(e10,e10)) != h1(e12) ),
inference(copy,[status(thm)],[c_5866]) ).
cnf(c_2917,negated_conjecture,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| h2(op1(e10,e10)) != h1(e12) ),
inference(copy,[status(thm)],[c_5867]) ).
cnf(c_5868,plain,
( e10 = e11
| ~ defn_10 ),
inference(paramod,[status(thm)],[c_2465,c_762]) ).
cnf(c_2945,plain,
~ defn_10,
inference(resolve,[status(thm)],[c_260,c_5868]) ).
cnf(c_5869,plain,
( e10 = e12
| ~ defn_30 ),
inference(paramod,[status(thm)],[c_2465,c_754]) ).
cnf(c_2946,plain,
~ defn_30,
inference(resolve,[status(thm)],[c_262,c_5869]) ).
cnf(c_5870,plain,
( e10 != e10
| ~ defn_190 ),
inference(paramod,[status(thm)],[c_2465,c_691]) ).
cnf(c_2947,plain,
~ defn_190,
inference(copy,[status(thm)],[c_5870]) ).
cnf(c_5871,plain,
( op1(e13,op1(e13,e13)) = e13
| e10 = e12
| op1(e13,e12) != e13
| op1(e10,e10) = e11
| op1(e10,e11) != e10
| defn_200 ),
inference(paramod,[status(thm)],[c_2465,c_580]) ).
cnf(c_5872,plain,
( op1(e13,e10) = e13
| e10 = e12
| op1(e13,e12) != e13
| op1(e10,e10) = e11
| op1(e10,e11) != e10
| defn_200 ),
inference(paramod,[status(thm)],[c_2465,c_5871]) ).
cnf(c_2950,plain,
( op1(e13,e10) = e13
| op1(e13,e12) != e13
| op1(e10,e10) = e11
| op1(e10,e11) != e10
| defn_200 ),
inference(resolve,[status(thm)],[c_262,c_5872]) ).
cnf(c_5873,plain,
e10 != op1(e13,e12),
inference(paramod,[status(thm)],[c_2465,c_186]) ).
cnf(c_2988,plain,
op1(e13,e12) != e10,
inference(copy,[status(thm)],[c_5873]) ).
cnf(c_5874,plain,
e10 != op1(e13,e11),
inference(paramod,[status(thm)],[c_2465,c_185]) ).
cnf(c_2989,plain,
op1(e13,e11) != e10,
inference(copy,[status(thm)],[c_5874]) ).
cnf(c_2990,plain,
op1(e13,e10) != e10,
inference(paramod,[status(thm)],[c_2465,c_183]) ).
cnf(c_5875,plain,
e10 != op1(e12,e13),
inference(paramod,[status(thm)],[c_2465,c_150]) ).
cnf(c_2991,plain,
op1(e12,e13) != e10,
inference(copy,[status(thm)],[c_5875]) ).
cnf(c_5876,plain,
e10 != op1(e11,e13),
inference(paramod,[status(thm)],[c_2465,c_149]) ).
cnf(c_2992,plain,
op1(e11,e13) != e10,
inference(copy,[status(thm)],[c_5876]) ).
cnf(c_5877,plain,
( e10 = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(paramod,[status(thm)],[c_2465,c_66]) ).
cnf(c_5878,plain,
( e10 = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[status(thm)],[c_2587,c_5877]) ).
cnf(c_2994,plain,
( op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[status(thm)],[c_264,c_5878]) ).
cnf(c_5879,plain,
( e10 = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(paramod,[status(thm)],[c_2465,c_65]) ).
cnf(c_5880,plain,
( e10 = e13
| op1(e13,e12) = e13
| op1(e13,e10) = e13 ),
inference(resolve,[status(thm)],[c_2590,c_5879]) ).
cnf(c_2995,plain,
( op1(e13,e12) = e13
| op1(e13,e10) = e13 ),
inference(resolve,[status(thm)],[c_264,c_5880]) ).
cnf(c_5881,plain,
( e10 = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(paramod,[status(thm)],[c_2465,c_64]) ).
cnf(c_5882,plain,
( e10 = e12
| op1(e12,e13) = e12
| op1(e10,e13) = e12 ),
inference(resolve,[status(thm)],[c_2545,c_5881]) ).
cnf(c_2996,plain,
( op1(e12,e13) = e12
| op1(e10,e13) = e12 ),
inference(resolve,[status(thm)],[c_262,c_5882]) ).
cnf(c_5883,plain,
( e10 = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 ),
inference(paramod,[status(thm)],[c_2465,c_62]) ).
cnf(c_2998,plain,
( op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 ),
inference(resolve,[status(thm)],[c_260,c_5883]) ).
cnf(c_5884,plain,
( op1(e13,e12) = e13
| op1(e13,e11) = e13
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_00 ),
inference(resolve,[status(thm)],[c_2945,c_303]) ).
cnf(c_5885,plain,
( op1(e13,e12) = e13
| op1(e13,e11) = e13
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_20
| defn_00 ),
inference(resolve,[status(thm)],[c_2946,c_5884]) ).
cnf(c_5886,plain,
( op1(e13,e12) = e13
| op1(e13,e11) = e13
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_20
| defn_00 ),
inference(resolve,[status(thm)],[c_2466,c_5885]) ).
cnf(c_5887,plain,
( op1(e13,e12) = e13
| op1(e13,e11) = e13
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_70
| defn_60
| defn_50
| defn_20
| defn_00 ),
inference(resolve,[status(thm)],[c_2467,c_5886]) ).
cnf(c_5888,plain,
( op1(e13,e12) = e13
| op1(e13,e11) = e13
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_70
| defn_60
| defn_50
| defn_20
| defn_00 ),
inference(resolve,[status(thm)],[c_2468,c_5887]) ).
cnf(c_5889,plain,
( op1(e13,e12) = e13
| op1(e13,e11) = e13
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_140
| defn_130
| defn_110
| defn_100
| defn_70
| defn_60
| defn_50
| defn_20
| defn_00 ),
inference(resolve,[status(thm)],[c_2469,c_5888]) ).
cnf(c_5890,plain,
( op1(e13,e12) = e13
| op1(e13,e11) = e13
| defn_190
| defn_180
| defn_170
| defn_160
| defn_150
| defn_130
| defn_110
| defn_100
| defn_70
| defn_60
| defn_50
| defn_20
| defn_00 ),
inference(resolve,[status(thm)],[c_2555,c_5889]) ).
cnf(c_5891,plain,
( op1(e13,e12) = e13
| op1(e13,e11) = e13
| defn_190
| defn_180
| defn_170
| defn_160
| defn_130
| defn_110
| defn_100
| defn_70
| defn_60
| defn_50
| defn_20
| defn_00 ),
inference(resolve,[status(thm)],[c_2556,c_5890]) ).
cnf(c_5892,plain,
( op1(e13,e12) = e13
| op1(e13,e11) = e13
| defn_190
| defn_180
| defn_160
| defn_130
| defn_110
| defn_100
| defn_70
| defn_60
| defn_50
| defn_20
| defn_00 ),
inference(resolve,[status(thm)],[c_2470,c_5891]) ).
cnf(c_5893,plain,
( op1(e13,e12) = e13
| op1(e13,e11) = e13
| defn_190
| defn_160
| defn_130
| defn_110
| defn_100
| defn_70
| defn_60
| defn_50
| defn_20
| defn_00 ),
inference(resolve,[status(thm)],[c_2471,c_5892]) ).
cnf(c_5894,plain,
( op1(e13,e12) = e13
| op1(e13,e11) = e13
| defn_160
| defn_130
| defn_110
| defn_100
| defn_70
| defn_60
| defn_50
| defn_20
| defn_00 ),
inference(resolve,[status(thm)],[c_2947,c_5893]) ).
cnf(c_3008,plain,
( op1(e13,e12) = e13
| defn_160
| defn_130
| defn_110
| defn_100
| defn_70
| defn_60
| defn_50
| defn_20
| defn_00 ),
inference(resolve,[status(thm)],[c_2590,c_5894]) ).
cnf(c_3012,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e10,e10) = e12 ),
inference(resolve,[status(thm)],[c_2547,c_40]) ).
cnf(c_5895,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11 ),
inference(resolve,[status(thm)],[c_2989,c_32]) ).
cnf(c_5896,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e11 ),
inference(resolve,[status(thm)],[c_2548,c_5895]) ).
cnf(c_3014,plain,
op1(e13,e11) = e11,
inference(resolve,[status(thm)],[c_2590,c_5896]) ).
cnf(c_3015,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e10) = e12 ),
inference(resolve,[status(thm)],[c_2549,c_39]) ).
cnf(c_5897,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11 ),
inference(resolve,[status(thm)],[c_2991,c_30]) ).
cnf(c_3017,plain,
( op1(e12,e13) = e12
| op1(e12,e13) = e11 ),
inference(resolve,[status(thm)],[c_2587,c_5897]) ).
cnf(c_3021,plain,
( op1(e12,e13) != e12
| op1(e12,e13) = e11
| op1(e10,e10) = e11
| op1(e10,e11) != e10
| defn_200 ),
inference(resolve,[status(thm)],[c_2588,c_2563]) ).
cnf(c_3028,plain,
~ defn_50,
inference(resolve,[status(thm)],[c_2588,c_746]) ).
cnf(c_3029,plain,
~ defn_110,
inference(resolve,[status(thm)],[c_2588,c_722]) ).
cnf(c_3048,plain,
( op1(e13,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(resolve,[status(thm)],[c_2589,c_42]) ).
cnf(c_3049,plain,
( op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(resolve,[status(thm)],[c_2589,c_27]) ).
cnf(c_3051,plain,
op2(e20,e23) = h4(e13),
inference(paramod,[status(thm)],[c_2595,c_1270]) ).
cnf(c_5898,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_210 ),
inference(resolve,[status(thm)],[c_2814,c_769]) ).
cnf(c_5899,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_230
| defn_210 ),
inference(resolve,[status(thm)],[c_2815,c_5898]) ).
cnf(c_5900,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_230
| defn_210 ),
inference(resolve,[status(thm)],[c_2596,c_5899]) ).
cnf(c_5901,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_230
| defn_210 ),
inference(resolve,[status(thm)],[c_2855,c_5900]) ).
cnf(c_5902,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_280
| defn_270
| defn_230
| defn_210 ),
inference(resolve,[status(thm)],[c_2597,c_5901]) ).
cnf(c_5903,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_280
| defn_270
| defn_230
| defn_210 ),
inference(resolve,[status(thm)],[c_2598,c_5902]) ).
cnf(c_5904,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_310
| defn_280
| defn_270
| defn_230
| defn_210 ),
inference(resolve,[status(thm)],[c_2857,c_5903]) ).
cnf(c_5905,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_310
| defn_280
| defn_270
| defn_230
| defn_210 ),
inference(resolve,[status(thm)],[c_2599,c_5904]) ).
cnf(c_5906,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_340
| defn_310
| defn_280
| defn_270
| defn_230
| defn_210 ),
inference(resolve,[status(thm)],[c_2685,c_5905]) ).
cnf(c_5907,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| defn_400
| defn_390
| defn_380
| defn_370
| defn_340
| defn_310
| defn_280
| defn_270
| defn_230
| defn_210 ),
inference(resolve,[status(thm)],[c_2686,c_5906]) ).
cnf(c_5908,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| defn_400
| defn_390
| defn_370
| defn_340
| defn_310
| defn_280
| defn_270
| defn_230
| defn_210 ),
inference(resolve,[status(thm)],[c_2600,c_5907]) ).
cnf(c_5909,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| defn_400
| defn_370
| defn_340
| defn_310
| defn_280
| defn_270
| defn_230
| defn_210 ),
inference(resolve,[status(thm)],[c_2601,c_5908]) ).
cnf(c_5910,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| defn_370
| defn_340
| defn_310
| defn_280
| defn_270
| defn_230
| defn_210 ),
inference(resolve,[status(thm)],[c_2816,c_5909]) ).
cnf(c_3055,plain,
( op2(e23,e22) = e23
| defn_370
| defn_340
| defn_310
| defn_280
| defn_270
| defn_230
| defn_210 ),
inference(resolve,[status(thm)],[c_2720,c_5910]) ).
cnf(c_5911,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21 ),
inference(resolve,[status(thm)],[c_2845,c_74]) ).
cnf(c_3056,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e21 ),
inference(resolve,[status(thm)],[c_2675,c_5911]) ).
cnf(c_5912,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21 ),
inference(resolve,[status(thm)],[c_2842,c_80]) ).
cnf(c_5913,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e21 ),
inference(resolve,[status(thm)],[c_2678,c_5912]) ).
cnf(c_3059,plain,
op2(e23,e21) = e21,
inference(resolve,[status(thm)],[c_2720,c_5913]) ).
cnf(c_5914,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21 ),
inference(resolve,[status(thm)],[c_2844,c_78]) ).
cnf(c_3061,plain,
( op2(e22,e23) = e22
| op2(e22,e23) = e21 ),
inference(resolve,[status(thm)],[c_2717,c_5914]) ).
cnf(c_3065,plain,
( op2(e22,e23) != e22
| op2(e22,e23) = e21
| h1(e12) = e21
| op2(e20,e21) != e20
| defn_410 ),
inference(resolve,[status(thm)],[c_2718,c_2693]) ).
cnf(c_3074,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21 ),
inference(resolve,[status(thm)],[c_2841,c_81]) ).
cnf(c_5915,plain,
( e21 = e20
| op2(e20,e21) = e20 ),
inference(paramod,[status(thm)],[c_3059,c_2683]) ).
cnf(c_5916,plain,
( e20 = e21
| op2(e20,e21) = e20 ),
inference(copy,[status(thm)],[c_5915]) ).
cnf(c_3075,plain,
op2(e20,e21) = e20,
inference(resolve,[status(thm)],[c_269,c_5916]) ).
cnf(c_3076,plain,
( op2(e22,e20) = e20
| op2(e21,e20) = e20
| h1(e12) = e20 ),
inference(resolve,[status(thm)],[c_2843,c_2811]) ).
cnf(c_3077,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21 ),
inference(resolve,[status(thm)],[c_2843,c_79]) ).
cnf(c_3078,plain,
( h3(e12) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[status(thm)],[c_2844,c_2724]) ).
cnf(c_3079,plain,
( op2(e21,e22) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[status(thm)],[c_2845,c_2684]) ).
cnf(c_3082,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11 ),
inference(resolve,[status(thm)],[c_2988,c_33]) ).
cnf(c_5917,plain,
( e11 = e10
| op1(e10,e11) = e10 ),
inference(paramod,[status(thm)],[c_3014,c_2553]) ).
cnf(c_5918,plain,
( e10 = e11
| op1(e10,e11) = e10 ),
inference(copy,[status(thm)],[c_5917]) ).
cnf(c_3083,plain,
op1(e10,e11) = e10,
inference(resolve,[status(thm)],[c_260,c_5918]) ).
cnf(c_3084,plain,
( op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(resolve,[status(thm)],[c_2990,c_36]) ).
cnf(c_3085,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11 ),
inference(resolve,[status(thm)],[c_2990,c_31]) ).
cnf(c_3087,plain,
( op1(e11,e12) = e10
| op1(e11,e10) = e10 ),
inference(resolve,[status(thm)],[c_2992,c_2554]) ).
cnf(c_5919,negated_conjecture,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(e10) != op2(e20,e21)
| h2(op1(e10,e10)) != h1(e12) ),
inference(paramod,[status(thm)],[c_3083,c_2917]) ).
cnf(c_5920,negated_conjecture,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| e20 != op2(e20,e21)
| h2(op1(e10,e10)) != h1(e12) ),
inference(paramod,[status(thm)],[c_2595,c_5919]) ).
cnf(c_5921,negated_conjecture,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| e20 != e20
| h2(op1(e10,e10)) != h1(e12) ),
inference(paramod,[status(thm)],[c_3075,c_5920]) ).
cnf(c_5922,negated_conjecture,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(e11) != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| e20 != e20
| h2(op1(e10,e10)) != h1(e12) ),
inference(paramod,[status(thm)],[c_3014,c_5921]) ).
cnf(c_5923,negated_conjecture,
( h2(op1(e13,e12)) != op2(e23,e22)
| e21 != op2(e23,e21)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| e20 != e20
| h2(op1(e10,e10)) != h1(e12) ),
inference(paramod,[status(thm)],[c_1250,c_5922]) ).
cnf(c_5924,negated_conjecture,
( h2(op1(e13,e12)) != op2(e23,e22)
| e21 != e21
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| e20 != e20
| h2(op1(e10,e10)) != h1(e12) ),
inference(paramod,[status(thm)],[c_3059,c_5923]) ).
cnf(c_5925,negated_conjecture,
( h2(op1(e13,e12)) != op2(e23,e22)
| e21 != e21
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e10)) != h1(e12) ),
inference(copy,[status(thm)],[c_5924]) ).
cnf(c_3116,negated_conjecture,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e10)) != h1(e12) ),
inference(copy,[status(thm)],[c_5925]) ).
cnf(c_3139,plain,
op1(e13,e12) != e11,
inference(paramod,[status(thm)],[c_3014,c_184]) ).
cnf(c_3140,plain,
op1(e13,e10) != e11,
inference(paramod,[status(thm)],[c_3014,c_179]) ).
cnf(c_5926,plain,
( op1(e13,e12) = e13
| defn_160
| defn_130
| defn_110
| defn_100
| defn_70
| defn_60
| defn_20
| defn_00 ),
inference(resolve,[status(thm)],[c_3028,c_3008]) ).
cnf(c_3141,plain,
( op1(e13,e12) = e13
| defn_160
| defn_130
| defn_100
| defn_70
| defn_60
| defn_20
| defn_00 ),
inference(resolve,[status(thm)],[c_3029,c_5926]) ).
cnf(c_3146,plain,
( op2(e22,e23) = e22
| h4(e13) = e22 ),
inference(paramod,[status(thm)],[c_3051,c_2849]) ).
cnf(c_3151,plain,
( h4(e13) = e23
| op2(e20,e22) = e23
| h1(e12) = e23 ),
inference(paramod,[status(thm)],[c_3051,c_2806]) ).
cnf(c_5927,plain,
h4(e13) != op2(e20,e22),
inference(paramod,[status(thm)],[c_3051,c_231]) ).
cnf(c_3154,plain,
op2(e20,e22) != h4(e13),
inference(copy,[status(thm)],[c_5927]) ).
cnf(c_5928,plain,
h4(e13) != op2(e22,e23),
inference(paramod,[status(thm)],[c_3051,c_217]) ).
cnf(c_3155,plain,
op2(e22,e23) != h4(e13),
inference(copy,[status(thm)],[c_5928]) ).
cnf(c_3157,plain,
op2(e23,e22) != e21,
inference(paramod,[status(thm)],[c_3059,c_256]) ).
cnf(c_3158,plain,
op2(e23,e20) != e21,
inference(paramod,[status(thm)],[c_3059,c_251]) ).
cnf(c_5929,plain,
( op2(e22,e23) != e22
| op2(e22,e23) = e21
| h1(e12) = e21
| e20 != e20
| defn_410 ),
inference(paramod,[status(thm)],[c_3075,c_3065]) ).
cnf(c_3159,plain,
( op2(e22,e23) != e22
| op2(e22,e23) = e21
| h1(e12) = e21
| defn_410 ),
inference(copy,[status(thm)],[c_5929]) ).
cnf(c_5930,plain,
e20 != h1(e12),
inference(paramod,[status(thm)],[c_3075,c_2801]) ).
cnf(c_3160,plain,
h1(e12) != e20,
inference(copy,[status(thm)],[c_5930]) ).
cnf(c_5931,plain,
( op2(e23,e20) = e23
| op2(e23,e22) != e23
| h1(e12) = e21
| e20 != e20
| defn_410 ),
inference(paramod,[status(thm)],[c_3075,c_2736]) ).
cnf(c_3179,plain,
( op2(e23,e20) = e23
| op2(e23,e22) != e23
| h1(e12) = e21
| defn_410 ),
inference(copy,[status(thm)],[c_5931]) ).
cnf(c_5932,plain,
( op2(e20,e20) = e21
| ~ defn_410 ),
inference(paramod,[status(thm)],[c_3075,c_1153]) ).
cnf(c_3190,plain,
( h1(e12) = e21
| ~ defn_410 ),
inference(paramod,[status(thm)],[c_1247,c_5932]) ).
cnf(c_3191,plain,
op2(e20,e22) != e20,
inference(paramod,[status(thm)],[c_3075,c_229]) ).
cnf(c_5933,plain,
( op1(e12,e13) != e12
| op1(e12,e13) = e11
| op1(e10,e10) = e11
| e10 != e10
| defn_200 ),
inference(paramod,[status(thm)],[c_3083,c_3021]) ).
cnf(c_3196,plain,
( op1(e12,e13) != e12
| op1(e12,e13) = e11
| op1(e10,e10) = e11
| defn_200 ),
inference(copy,[status(thm)],[c_5933]) ).
cnf(c_5934,plain,
( op1(e13,e10) = e13
| op1(e13,e12) != e13
| op1(e10,e10) = e11
| e10 != e10
| defn_200 ),
inference(paramod,[status(thm)],[c_3083,c_2950]) ).
cnf(c_3203,plain,
( op1(e13,e10) = e13
| op1(e13,e12) != e13
| op1(e10,e10) = e11
| defn_200 ),
inference(copy,[status(thm)],[c_5934]) ).
cnf(c_3214,plain,
( op1(e10,e10) = e11
| ~ defn_200 ),
inference(paramod,[status(thm)],[c_3083,c_687]) ).
cnf(c_3223,plain,
op1(e10,e12) != e10,
inference(paramod,[status(thm)],[c_3083,c_157]) ).
cnf(c_3224,plain,
op1(e10,e10) != e10,
inference(paramod,[status(thm)],[c_3083,c_152]) ).
cnf(c_5935,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| e10 = e11
| op1(e10,e10) = e11 ),
inference(paramod,[status(thm)],[c_3083,c_37]) ).
cnf(c_3225,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e10) = e11 ),
inference(resolve,[status(thm)],[c_260,c_5935]) ).
cnf(c_3226,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12 ),
inference(resolve,[status(thm)],[c_3139,c_3082]) ).
cnf(c_3228,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12 ),
inference(resolve,[status(thm)],[c_3140,c_3085]) ).
cnf(c_3235,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22 ),
inference(resolve,[status(thm)],[c_3157,c_3074]) ).
cnf(c_3237,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22 ),
inference(resolve,[status(thm)],[c_3158,c_3077]) ).
cnf(c_3238,plain,
( op2(e22,e20) = e21
| op2(e21,e20) = e21
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_3158,c_2809]) ).
cnf(c_3239,plain,
( op2(e22,e20) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[status(thm)],[c_3160,c_3076]) ).
cnf(c_3242,plain,
~ defn_230,
inference(resolve,[status(thm)],[c_3191,c_1226]) ).
cnf(c_3243,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21 ),
inference(resolve,[status(thm)],[c_3191,c_69]) ).
cnf(c_3245,plain,
~ defn_20,
inference(resolve,[status(thm)],[c_3223,c_760]) ).
cnf(c_3246,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11 ),
inference(resolve,[status(thm)],[c_3223,c_21]) ).
cnf(c_3247,plain,
( op1(e12,e10) = e10
| op1(e11,e10) = e10 ),
inference(resolve,[status(thm)],[c_3224,c_3084]) ).
cnf(c_3248,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11 ),
inference(resolve,[status(thm)],[c_3224,c_19]) ).
cnf(c_3250,plain,
( op2(e23,e22) = e23
| defn_370
| defn_340
| defn_310
| defn_280
| defn_270
| defn_210 ),
inference(resolve,[status(thm)],[c_3242,c_3055]) ).
cnf(c_3252,plain,
( op1(e13,e12) = e13
| defn_160
| defn_130
| defn_100
| defn_70
| defn_60
| defn_00 ),
inference(resolve,[status(thm)],[c_3245,c_3141]) ).
cnf(c_5936,plain,
( e23 != h1(e12)
| op2(e23,e22) = e23 ),
inference(paramod,[status(thm)],[c_2848,c_2802]) ).
cnf(c_3645,plain,
( h1(e12) != e23
| op2(e23,e22) = e23 ),
inference(copy,[status(thm)],[c_5936]) ).
cnf(c_5937,plain,
( e22 = e23
| op2(e21,e20) = e23
| h1(e12) = e23
| op2(e23,e22) = e22 ),
inference(paramod,[status(thm)],[c_2850,c_2805]) ).
cnf(c_5938,plain,
( e23 = e22
| op2(e21,e20) = e23
| h1(e12) = e23
| op2(e23,e22) = e22 ),
inference(copy,[status(thm)],[c_5937]) ).
cnf(c_3649,plain,
( op2(e21,e20) = e23
| h1(e12) = e23
| op2(e23,e22) = e22 ),
inference(resolve,[status(thm)],[c_276,c_5938]) ).
cnf(c_3809,plain,
( op1(e10,e10) != e13
| op1(e11,e13) = e13 ),
inference(paramod,[status(thm)],[c_2994,c_156]) ).
cnf(c_3811,plain,
( op1(e10,e10) != e13
| op1(e13,e12) = e13 ),
inference(paramod,[status(thm)],[c_2995,c_120]) ).
cnf(c_5939,plain,
( e13 != op1(e11,e10)
| op1(e13,e12) = e13 ),
inference(paramod,[status(thm)],[c_2995,c_122]) ).
cnf(c_3812,plain,
( op1(e11,e10) != e13
| op1(e13,e12) = e13 ),
inference(copy,[status(thm)],[c_5939]) ).
cnf(c_3813,plain,
( op1(e10,e10) != e12
| op1(e12,e13) = e12 ),
inference(paramod,[status(thm)],[c_2996,c_156]) ).
cnf(c_5940,plain,
( e12 != op1(e10,e12)
| op1(e12,e13) = e12 ),
inference(paramod,[status(thm)],[c_2996,c_159]) ).
cnf(c_3814,plain,
( op1(e10,e12) != e12
| op1(e12,e13) = e12 ),
inference(copy,[status(thm)],[c_5940]) ).
cnf(c_5941,plain,
( op1(e11,e13) = e13
| e12 = e13
| op1(e12,e13) = e12 ),
inference(paramod,[status(thm)],[c_2996,c_2994]) ).
cnf(c_5942,plain,
( op1(e11,e13) = e13
| e13 = e12
| op1(e12,e13) = e12 ),
inference(copy,[status(thm)],[c_5941]) ).
cnf(c_3815,plain,
( op1(e11,e13) = e13
| op1(e12,e13) = e12 ),
inference(resolve,[status(thm)],[c_267,c_5942]) ).
cnf(c_5943,plain,
( e12 != op1(e13,e10)
| op1(e10,e13) = e12
| op1(e10,e12) = e12 ),
inference(paramod,[status(thm)],[c_3015,c_120]) ).
cnf(c_3831,plain,
( op1(e13,e10) != e12
| op1(e10,e13) = e12
| op1(e10,e12) = e12 ),
inference(copy,[status(thm)],[c_5943]) ).
cnf(c_3832,plain,
( op1(e10,e13) != e12
| op1(e12,e13) = e11 ),
inference(paramod,[status(thm)],[c_3017,c_145]) ).
cnf(c_3833,plain,
( op1(e12,e10) != e12
| op1(e12,e13) = e11 ),
inference(paramod,[status(thm)],[c_3017,c_174]) ).
cnf(c_3852,plain,
( op2(e21,e20) != e23
| op2(e21,e23) = e21 ),
inference(paramod,[status(thm)],[c_3056,c_237]) ).
cnf(c_5944,plain,
( op2(e22,e23) = e22
| h3(e12) = e22
| e20 = e22
| h3(e12) = e20 ),
inference(paramod,[status(thm)],[c_3078,c_2722]) ).
cnf(c_3877,plain,
( op2(e22,e23) = e22
| h3(e12) = e22
| h3(e12) = e20 ),
inference(resolve,[status(thm)],[c_271,c_5944]) ).
cnf(c_5945,plain,
( op2(e22,e23) = e21
| h3(e12) = e21
| e20 = e21
| h3(e12) = e20 ),
inference(paramod,[status(thm)],[c_3078,c_2723]) ).
cnf(c_3878,plain,
( op2(e22,e23) = e21
| h3(e12) = e21
| h3(e12) = e20 ),
inference(resolve,[status(thm)],[c_269,c_5945]) ).
cnf(c_3885,plain,
( op1(e12,e10) != e10
| op1(e11,e12) = e10 ),
inference(paramod,[status(thm)],[c_3087,c_121]) ).
cnf(c_5946,plain,
( e23 != op2(e23,e22)
| h4(e13) = e23
| h1(e12) = e23 ),
inference(paramod,[status(thm)],[c_3151,c_210]) ).
cnf(c_3917,plain,
( op2(e23,e22) != e23
| h4(e13) = e23
| h1(e12) = e23 ),
inference(copy,[status(thm)],[c_5946]) ).
cnf(c_5947,plain,
( op2(e22,e23) = e21
| op2(e22,e23) = e21
| h1(e12) = e21
| defn_410 ),
inference(resolve,[status(thm)],[c_3159,c_3061]) ).
cnf(c_3962,plain,
( op2(e22,e23) = e21
| h1(e12) = e21
| defn_410 ),
inference(copy,[status(thm)],[c_5947]) ).
cnf(c_5948,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e11
| op1(e10,e10) = e11
| defn_200 ),
inference(resolve,[status(thm)],[c_3196,c_3017]) ).
cnf(c_4023,plain,
( op1(e12,e13) = e11
| op1(e10,e10) = e11
| defn_200 ),
inference(copy,[status(thm)],[c_5948]) ).
cnf(c_4080,plain,
( op1(e13,e10) = e13
| op1(e10,e10) = e11
| defn_200
| op1(e13,e12) = e12 ),
inference(resolve,[status(thm)],[c_3226,c_3203]) ).
cnf(c_4103,plain,
( op1(e10,e12) != e13
| op1(e13,e12) = e12 ),
inference(paramod,[status(thm)],[c_3226,c_138]) ).
cnf(c_4105,plain,
( op1(e13,e10) != e13
| op1(e13,e12) = e12 ),
inference(paramod,[status(thm)],[c_3226,c_181]) ).
cnf(c_5949,plain,
( e13 != op1(e11,e10)
| op1(e13,e10) = e12 ),
inference(paramod,[status(thm)],[c_3228,c_122]) ).
cnf(c_4111,plain,
( op1(e11,e10) != e13
| op1(e13,e10) = e12 ),
inference(copy,[status(thm)],[c_5949]) ).
cnf(c_4154,plain,
( op2(e20,e22) != e23
| op2(e23,e22) = e22 ),
inference(paramod,[status(thm)],[c_3235,c_210]) ).
cnf(c_5950,plain,
( e23 != op2(e23,e22)
| op2(e23,e20) = e22 ),
inference(paramod,[status(thm)],[c_3237,c_253]) ).
cnf(c_4164,plain,
( op2(e23,e22) != e23
| op2(e23,e20) = e22 ),
inference(copy,[status(thm)],[c_5950]) ).
cnf(c_5951,plain,
( e20 != h3(e12)
| op2(e21,e20) = e20 ),
inference(paramod,[status(thm)],[c_3239,c_2881]) ).
cnf(c_4172,plain,
( h3(e12) != e20
| op2(e21,e20) = e20 ),
inference(copy,[status(thm)],[c_5951]) ).
cnf(c_5952,plain,
( e23 != op2(e23,e22)
| op2(e20,e22) = e22
| op2(e20,e22) = e21 ),
inference(paramod,[status(thm)],[c_3243,c_210]) ).
cnf(c_4180,plain,
( op2(e23,e22) != e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21 ),
inference(copy,[status(thm)],[c_5952]) ).
cnf(c_4194,plain,
( h1(e12) = e23
| op2(e23,e22) = e23
| defn_340
| defn_310
| defn_280
| defn_270
| defn_210 ),
inference(resolve,[status(thm)],[c_3250,c_2732]) ).
cnf(c_5953,plain,
( op1(e13,e12) = e13
| defn_160
| defn_130
| defn_100
| defn_60
| defn_00
| op1(e13,e10) != e13 ),
inference(resolve,[status(thm)],[c_737,c_3252]) ).
cnf(c_5954,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e13
| defn_160
| defn_130
| defn_100
| defn_60
| defn_00 ),
inference(resolve,[status(thm)],[c_5953,c_2995]) ).
cnf(c_4199,plain,
( op1(e13,e12) = e13
| defn_160
| defn_130
| defn_100
| defn_60
| defn_00 ),
inference(copy,[status(thm)],[c_5954]) ).
cnf(c_4206,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e11,e13) = e13 ),
inference(resolve,[status(thm)],[c_3809,c_3248]) ).
cnf(c_4210,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e13,e12) = e13 ),
inference(resolve,[status(thm)],[c_3811,c_3248]) ).
cnf(c_4212,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e12,e13) = e12 ),
inference(resolve,[status(thm)],[c_3813,c_3012]) ).
cnf(c_4234,plain,
( op1(e10,e13) != e12
| op1(e11,e13) = e13 ),
inference(paramod,[status(thm)],[c_3815,c_145]) ).
cnf(c_4241,plain,
( op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e11,e12) = e10 ),
inference(resolve,[status(thm)],[c_3885,c_3049]) ).
cnf(c_5955,plain,
( h1(e12) = e21
| op2(e22,e23) = e21
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_3962,c_3190]) ).
cnf(c_4242,plain,
( op2(e22,e23) = e21
| h1(e12) = e21 ),
inference(copy,[status(thm)],[c_5955]) ).
cnf(c_4244,plain,
( op2(e22,e20) != e21
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4242,c_246]) ).
cnf(c_5956,plain,
( e21 = e22
| h4(e13) = e22
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4242,c_3146]) ).
cnf(c_5957,plain,
( e22 = e21
| h4(e13) = e22
| h1(e12) = e21 ),
inference(copy,[status(thm)],[c_5956]) ).
cnf(c_4246,plain,
( h4(e13) = e22
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_274,c_5957]) ).
cnf(c_4252,plain,
( op2(e22,e23) != e22
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4246,c_3155]) ).
cnf(c_5958,plain,
( op2(e21,e20) = e21
| h1(e12) = e21
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_4244,c_3238]) ).
cnf(c_4253,plain,
( op2(e21,e20) = e21
| h1(e12) = e21 ),
inference(copy,[status(thm)],[c_5958]) ).
cnf(c_5959,plain,
( op2(e21,e22) = e20
| e21 = e20
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4253,c_3079]) ).
cnf(c_5960,plain,
( op2(e21,e22) = e20
| e20 = e21
| h1(e12) = e21 ),
inference(copy,[status(thm)],[c_5959]) ).
cnf(c_4257,plain,
( op2(e21,e22) = e20
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_269,c_5960]) ).
cnf(c_5961,plain,
( e20 != h3(e12)
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4257,c_2883]) ).
cnf(c_4259,plain,
( h3(e12) != e20
| h1(e12) = e21 ),
inference(copy,[status(thm)],[c_5961]) ).
cnf(c_4261,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[status(thm)],[c_4103,c_3246]) ).
cnf(c_4266,plain,
( h4(e13) = e23
| h1(e12) = e23
| op2(e23,e22) = e22 ),
inference(resolve,[status(thm)],[c_4154,c_3151]) ).
cnf(c_4271,plain,
( op1(e12,e10) != e12
| op1(e13,e12) = e13
| defn_160
| defn_130
| defn_100
| defn_00 ),
inference(resolve,[status(thm)],[c_4199,c_741]) ).
cnf(c_5962,plain,
( op1(e10,e10) = e11
| op1(e12,e13) = e11
| op1(e10,e10) = e11 ),
inference(resolve,[status(thm)],[c_4023,c_3214]) ).
cnf(c_4284,plain,
( op1(e12,e13) = e11
| op1(e10,e10) = e11 ),
inference(copy,[status(thm)],[c_5962]) ).
cnf(c_5963,plain,
( e11 != op1(e12,e10)
| op1(e12,e13) = e11 ),
inference(paramod,[status(thm)],[c_4284,c_118]) ).
cnf(c_4286,plain,
( op1(e12,e10) != e11
| op1(e12,e13) = e11 ),
inference(copy,[status(thm)],[c_5963]) ).
cnf(c_5964,plain,
( e11 != op1(e10,e13)
| op1(e12,e13) = e11 ),
inference(paramod,[status(thm)],[c_4284,c_156]) ).
cnf(c_4288,plain,
( op1(e10,e13) != e11
| op1(e12,e13) = e11 ),
inference(copy,[status(thm)],[c_5964]) ).
cnf(c_5965,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| e11 = e12
| op1(e12,e13) = e11 ),
inference(paramod,[status(thm)],[c_4284,c_3015]) ).
cnf(c_5966,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| e12 = e11
| op1(e12,e13) = e11 ),
inference(copy,[status(thm)],[c_5965]) ).
cnf(c_4290,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e12,e13) = e11 ),
inference(resolve,[status(thm)],[c_265,c_5966]) ).
cnf(c_5967,plain,
( op1(e13,e10) = e13
| op1(e11,e10) = e13
| e11 = e13
| op1(e12,e13) = e11 ),
inference(paramod,[status(thm)],[c_4284,c_3048]) ).
cnf(c_5968,plain,
( op1(e13,e10) = e13
| op1(e11,e10) = e13
| e13 = e11
| op1(e12,e13) = e11 ),
inference(copy,[status(thm)],[c_5967]) ).
cnf(c_4291,plain,
( op1(e13,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e13) = e11 ),
inference(resolve,[status(thm)],[c_266,c_5968]) ).
cnf(c_5969,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[status(thm)],[c_4286,c_2593]) ).
cnf(c_4293,plain,
( op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(copy,[status(thm)],[c_5969]) ).
cnf(c_5970,plain,
( op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[status(thm)],[c_4288,c_2998]) ).
cnf(c_4294,plain,
( op1(e11,e13) = e11
| op1(e12,e13) = e11 ),
inference(copy,[status(thm)],[c_5970]) ).
cnf(c_5971,plain,
( op1(e11,e13) = e13
| e11 = e12
| op1(e12,e12) = e11 ),
inference(paramod,[status(thm)],[c_4293,c_3815]) ).
cnf(c_5972,plain,
( op1(e11,e13) = e13
| e12 = e11
| op1(e12,e12) = e11 ),
inference(copy,[status(thm)],[c_5971]) ).
cnf(c_4298,plain,
( op1(e11,e13) = e13
| op1(e12,e12) = e11 ),
inference(resolve,[status(thm)],[c_265,c_5972]) ).
cnf(c_4305,plain,
( op1(e12,e13) != e11
| op1(e11,e13) = e13 ),
inference(paramod,[status(thm)],[c_4298,c_177]) ).
cnf(c_4316,plain,
( h1(e12) = e21
| h3(e12) = e22
| h3(e12) = e20 ),
inference(resolve,[status(thm)],[c_3877,c_4252]) ).
cnf(c_5973,plain,
( h1(e12) = e21
| h1(e12) = e21
| h3(e12) = e22 ),
inference(resolve,[status(thm)],[c_4316,c_4259]) ).
cnf(c_4336,plain,
( h1(e12) = e21
| h3(e12) = e22 ),
inference(copy,[status(thm)],[c_5973]) ).
cnf(c_4339,plain,
( op2(e23,e22) != e22
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4336,c_2882]) ).
cnf(c_5974,plain,
( e21 = e22
| h4(e13) = e22
| h3(e12) = e21
| h3(e12) = e20 ),
inference(paramod,[status(thm)],[c_3878,c_3146]) ).
cnf(c_5975,plain,
( e22 = e21
| h4(e13) = e22
| h3(e12) = e21
| h3(e12) = e20 ),
inference(copy,[status(thm)],[c_5974]) ).
cnf(c_4347,plain,
( h4(e13) = e22
| h3(e12) = e21
| h3(e12) = e20 ),
inference(resolve,[status(thm)],[c_274,c_5975]) ).
cnf(c_4352,plain,
( op2(e20,e22) != e22
| h3(e12) = e21
| h3(e12) = e20 ),
inference(paramod,[status(thm)],[c_4347,c_3154]) ).
cnf(c_4369,plain,
( h1(e12) = e21
| h4(e13) = e23
| h1(e12) = e23 ),
inference(resolve,[status(thm)],[c_4266,c_4339]) ).
cnf(c_5976,plain,
( e23 = e22
| h1(e12) = e21
| h1(e12) = e21
| h1(e12) = e23 ),
inference(paramod,[status(thm)],[c_4369,c_4246]) ).
cnf(c_5977,plain,
( e23 = e22
| h1(e12) = e21
| h1(e12) = e23 ),
inference(copy,[status(thm)],[c_5976]) ).
cnf(c_4379,plain,
( h1(e12) = e21
| h1(e12) = e23 ),
inference(resolve,[status(thm)],[c_276,c_5977]) ).
cnf(c_4381,plain,
( op2(e23,e22) = e23
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_4379,c_3645]) ).
cnf(c_4384,plain,
( op2(e23,e20) != e23
| h1(e12) = e21 ),
inference(paramod,[status(thm)],[c_4379,c_2802]) ).
cnf(c_5978,plain,
( op2(e23,e20) = e23
| h1(e12) = e21
| defn_410
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_4381,c_3179]) ).
cnf(c_4387,plain,
( op2(e23,e20) = e23
| defn_410
| h1(e12) = e21 ),
inference(copy,[status(thm)],[c_5978]) ).
cnf(c_5979,plain,
( h1(e12) = e21
| op2(e23,e20) = e23
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_4387,c_3190]) ).
cnf(c_4407,plain,
( op2(e23,e20) = e23
| h1(e12) = e21 ),
inference(copy,[status(thm)],[c_5979]) ).
cnf(c_5980,plain,
( h1(e12) = e21
| h1(e12) = e21 ),
inference(resolve,[status(thm)],[c_4407,c_4384]) ).
cnf(c_4408,plain,
h1(e12) = e21,
inference(copy,[status(thm)],[c_5980]) ).
cnf(c_5981,plain,
( e21 = e23
| op2(e23,e22) = e23
| defn_340
| defn_310
| defn_280
| defn_270
| defn_210 ),
inference(paramod,[status(thm)],[c_4408,c_4194]) ).
cnf(c_5982,plain,
( e23 = e21
| op2(e23,e22) = e23
| defn_340
| defn_310
| defn_280
| defn_270
| defn_210 ),
inference(copy,[status(thm)],[c_5981]) ).
cnf(c_4413,plain,
( op2(e23,e22) = e23
| defn_340
| defn_310
| defn_280
| defn_270
| defn_210 ),
inference(resolve,[status(thm)],[c_275,c_5982]) ).
cnf(c_5983,plain,
( op2(e23,e22) != e23
| h4(e13) = e23
| e21 = e23 ),
inference(paramod,[status(thm)],[c_4408,c_3917]) ).
cnf(c_5984,plain,
( op2(e23,e22) != e23
| h4(e13) = e23
| e23 = e21 ),
inference(copy,[status(thm)],[c_5983]) ).
cnf(c_4418,plain,
( op2(e23,e22) != e23
| h4(e13) = e23 ),
inference(resolve,[status(thm)],[c_275,c_5984]) ).
cnf(c_5985,plain,
( op2(e21,e20) = e23
| e21 = e23
| op2(e23,e22) = e22 ),
inference(paramod,[status(thm)],[c_4408,c_3649]) ).
cnf(c_5986,plain,
( op2(e21,e20) = e23
| e23 = e21
| op2(e23,e22) = e22 ),
inference(copy,[status(thm)],[c_5985]) ).
cnf(c_4421,plain,
( op2(e21,e20) = e23
| op2(e23,e22) = e22 ),
inference(resolve,[status(thm)],[c_275,c_5986]) ).
cnf(c_4432,negated_conjecture,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != 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)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e10)) != e21 ),
inference(paramod,[status(thm)],[c_4408,c_3116]) ).
cnf(c_4435,plain,
op2(e21,e20) != e21,
inference(paramod,[status(thm)],[c_4408,c_2804]) ).
cnf(c_4437,plain,
op2(e20,e22) != e21,
inference(paramod,[status(thm)],[c_4408,c_2800]) ).
cnf(c_5987,plain,
( e21 = e23
| ~ defn_310 ),
inference(paramod,[status(thm)],[c_4408,c_2731]) ).
cnf(c_5988,plain,
( e23 = e21
| ~ defn_310 ),
inference(copy,[status(thm)],[c_5987]) ).
cnf(c_4439,plain,
~ defn_310,
inference(resolve,[status(thm)],[c_275,c_5988]) ).
cnf(c_5989,plain,
( e21 != e21
| ~ defn_210 ),
inference(paramod,[status(thm)],[c_4408,c_2726]) ).
cnf(c_4440,plain,
~ defn_210,
inference(copy,[status(thm)],[c_5989]) ).
cnf(c_4441,plain,
op2(e21,e20) = h1(e13),
inference(paramod,[status(thm)],[c_4408,c_1249]) ).
cnf(c_4458,plain,
( h1(e13) = e21
| ~ defn_270 ),
inference(paramod,[status(thm)],[c_4441,c_1210]) ).
cnf(c_4459,plain,
( h1(e13) = e21
| ~ defn_280 ),
inference(paramod,[status(thm)],[c_4441,c_1206]) ).
cnf(c_4467,plain,
( op2(e23,e22) != e23
| op2(e20,e22) = e22 ),
inference(resolve,[status(thm)],[c_4437,c_4180]) ).
cnf(c_5990,plain,
( op2(e23,e22) = e23
| defn_340
| defn_310
| defn_280
| defn_270 ),
inference(resolve,[status(thm)],[c_4440,c_4413]) ).
cnf(c_4471,plain,
( op2(e23,e22) = e23
| defn_340
| defn_280
| defn_270 ),
inference(resolve,[status(thm)],[c_4439,c_5990]) ).
cnf(c_4472,plain,
h1(e13) != e21,
inference(paramod,[status(thm)],[c_4441,c_4435]) ).
cnf(c_4474,negated_conjecture,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != h1(e13)
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e10)) != e21 ),
inference(paramod,[status(thm)],[c_4441,c_4432]) ).
cnf(c_4477,plain,
( h1(e13) = e23
| op2(e23,e22) = e22 ),
inference(paramod,[status(thm)],[c_4441,c_4421]) ).
cnf(c_4483,plain,
( h3(e12) != e20
| h1(e13) = e20 ),
inference(paramod,[status(thm)],[c_4441,c_4172]) ).
cnf(c_4508,plain,
( h1(e13) != e23
| op2(e21,e23) = e21 ),
inference(paramod,[status(thm)],[c_4441,c_3852]) ).
cnf(c_4531,plain,
( op2(e22,e20) = e20
| h1(e13) = e20 ),
inference(paramod,[status(thm)],[c_4441,c_3239]) ).
cnf(c_4532,plain,
( op2(e21,e22) = e20
| h1(e13) = e20 ),
inference(paramod,[status(thm)],[c_4441,c_3079]) ).
cnf(c_4559,plain,
~ defn_280,
inference(resolve,[status(thm)],[c_4472,c_4459]) ).
cnf(c_4560,plain,
~ defn_270,
inference(resolve,[status(thm)],[c_4472,c_4458]) ).
cnf(c_5991,plain,
( op2(e23,e22) = e23
| defn_340
| defn_280 ),
inference(resolve,[status(thm)],[c_4560,c_4471]) ).
cnf(c_4565,plain,
( op2(e23,e22) = e23
| defn_340 ),
inference(resolve,[status(thm)],[c_4559,c_5991]) ).
cnf(c_5992,plain,
( op2(e23,e22) = e23
| op2(e23,e20) != e23 ),
inference(resolve,[status(thm)],[c_1179,c_4565]) ).
cnf(c_5993,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[status(thm)],[c_5992,c_2848]) ).
cnf(c_4572,plain,
op2(e23,e22) = e23,
inference(copy,[status(thm)],[c_5993]) ).
cnf(c_5994,plain,
( h1(e13) = e23
| e23 = e22 ),
inference(paramod,[status(thm)],[c_4572,c_4477]) ).
cnf(c_4589,plain,
h1(e13) = e23,
inference(resolve,[status(thm)],[c_276,c_5994]) ).
cnf(c_5995,negated_conjecture,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e10)) != e21 ),
inference(paramod,[status(thm)],[c_4589,c_4474]) ).
cnf(c_4590,negated_conjecture,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e10)) != e21 ),
inference(paramod,[status(thm)],[c_4572,c_5995]) ).
cnf(c_5996,plain,
( e23 != e23
| op2(e20,e22) = e22 ),
inference(paramod,[status(thm)],[c_4572,c_4467]) ).
cnf(c_4591,plain,
op2(e20,e22) = e22,
inference(copy,[status(thm)],[c_5996]) ).
cnf(c_5997,plain,
( e23 != e23
| h4(e13) = e23 ),
inference(paramod,[status(thm)],[c_4572,c_4418]) ).
cnf(c_4592,plain,
h4(e13) = e23,
inference(copy,[status(thm)],[c_5997]) ).
cnf(c_5998,plain,
( e23 != e23
| op2(e23,e20) = e22 ),
inference(paramod,[status(thm)],[c_4572,c_4164]) ).
cnf(c_4597,plain,
op2(e23,e20) = e22,
inference(copy,[status(thm)],[c_5998]) ).
cnf(c_5999,plain,
( op2(e21,e22) = e20
| e23 = e20 ),
inference(paramod,[status(thm)],[c_4589,c_4532]) ).
cnf(c_6000,plain,
( op2(e21,e22) = e20
| e20 = e23 ),
inference(copy,[status(thm)],[c_5999]) ).
cnf(c_4614,plain,
op2(e21,e22) = e20,
inference(resolve,[status(thm)],[c_273,c_6000]) ).
cnf(c_6001,plain,
( op2(e22,e20) = e20
| e23 = e20 ),
inference(paramod,[status(thm)],[c_4589,c_4531]) ).
cnf(c_6002,plain,
( op2(e22,e20) = e20
| e20 = e23 ),
inference(copy,[status(thm)],[c_6001]) ).
cnf(c_4615,plain,
op2(e22,e20) = e20,
inference(resolve,[status(thm)],[c_273,c_6002]) ).
cnf(c_6003,plain,
( e23 != e23
| op2(e21,e23) = e21 ),
inference(paramod,[status(thm)],[c_4589,c_4508]) ).
cnf(c_4616,plain,
op2(e21,e23) = e21,
inference(copy,[status(thm)],[c_6003]) ).
cnf(c_6004,plain,
( h3(e12) != e20
| e23 = e20 ),
inference(paramod,[status(thm)],[c_4589,c_4483]) ).
cnf(c_6005,plain,
( h3(e12) != e20
| e20 = e23 ),
inference(copy,[status(thm)],[c_6004]) ).
cnf(c_4617,plain,
h3(e12) != e20,
inference(resolve,[status(thm)],[c_273,c_6005]) ).
cnf(c_6006,negated_conjecture,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != e22
| h2(op1(e10,e10)) != e21 ),
inference(paramod,[status(thm)],[c_4591,c_4590]) ).
cnf(c_6007,negated_conjecture,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != e23
| h2(op1(e10,e12)) != e22
| h2(op1(e10,e10)) != e21 ),
inference(paramod,[status(thm)],[c_4592,c_6006]) ).
cnf(c_6008,negated_conjecture,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != e23
| h2(op1(e10,e12)) != e22
| h2(op1(e10,e10)) != e21 ),
inference(paramod,[status(thm)],[c_4614,c_6007]) ).
cnf(c_6009,negated_conjecture,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,e20)
| h2(op1(e11,e13)) != e21
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != e23
| h2(op1(e10,e12)) != e22
| h2(op1(e10,e10)) != e21 ),
inference(paramod,[status(thm)],[c_4616,c_6008]) ).
cnf(c_6010,negated_conjecture,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != e23
| h2(op1(e10,e12)) != e22
| h2(op1(e10,e10)) != e21 ),
inference(paramod,[status(thm)],[c_4615,c_6009]) ).
cnf(c_4621,negated_conjecture,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != e23
| h2(op1(e10,e12)) != e22
| h2(op1(e10,e10)) != e21 ),
inference(paramod,[status(thm)],[c_4597,c_6010]) ).
cnf(c_6011,plain,
( e22 != e22
| h3(e12) = e21
| h3(e12) = e20 ),
inference(paramod,[status(thm)],[c_4591,c_4352]) ).
cnf(c_6012,plain,
( h3(e12) = e21
| h3(e12) = e20 ),
inference(copy,[status(thm)],[c_6011]) ).
cnf(c_4622,plain,
h3(e12) = e21,
inference(resolve,[status(thm)],[c_4617,c_6012]) ).
cnf(c_6013,plain,
( op2(e22,e23) = e22
| e23 = e22 ),
inference(paramod,[status(thm)],[c_4592,c_3146]) ).
cnf(c_4625,plain,
op2(e22,e23) = e22,
inference(resolve,[status(thm)],[c_276,c_6013]) ).
cnf(c_6014,negated_conjecture,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != e23
| h2(op1(e10,e12)) != e22
| h2(op1(e10,e10)) != e21 ),
inference(paramod,[status(thm)],[c_4622,c_4621]) ).
cnf(c_4628,negated_conjecture,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != e23
| h2(op1(e10,e12)) != e22
| h2(op1(e10,e10)) != e21 ),
inference(paramod,[status(thm)],[c_4625,c_6014]) ).
cnf(c_6015,plain,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != e23
| h2(op1(e10,e12)) != e22
| h2(e11) != e21
| op1(e10,e13) = e11
| op1(e10,e12) = e11 ),
inference(paramod,[status(thm)],[c_3225,c_4628]) ).
cnf(c_6016,plain,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != e23
| h2(op1(e10,e12)) != e22
| e21 != e21
| op1(e10,e13) = e11
| op1(e10,e12) = e11 ),
inference(paramod,[status(thm)],[c_1250,c_6015]) ).
cnf(c_4633,plain,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != e23
| h2(op1(e10,e12)) != e22
| op1(e10,e13) = e11
| op1(e10,e12) = e11 ),
inference(copy,[status(thm)],[c_6016]) ).
cnf(c_6017,plain,
( e12 != op1(e13,e10)
| op1(e10,e10) = e11
| op1(e11,e13) = e13 ),
inference(paramod,[status(thm)],[c_4206,c_120]) ).
cnf(c_4729,plain,
( op1(e13,e10) != e12
| op1(e10,e10) = e11
| op1(e11,e13) = e13 ),
inference(copy,[status(thm)],[c_6017]) ).
cnf(c_4779,plain,
( op1(e12,e13) = e12
| op1(e10,e10) = e11
| op1(e13,e12) = e13 ),
inference(resolve,[status(thm)],[c_4210,c_3813]) ).
cnf(c_6018,plain,
( e12 != op1(e13,e12)
| op1(e12,e10) = e12
| op1(e12,e13) = e12 ),
inference(paramod,[status(thm)],[c_4212,c_181]) ).
cnf(c_4788,plain,
( op1(e13,e12) != e12
| op1(e12,e10) = e12
| op1(e12,e13) = e12 ),
inference(copy,[status(thm)],[c_6018]) ).
cnf(c_4839,plain,
( op1(e12,e13) = e11
| op1(e12,e10) = e11
| op1(e11,e12) = e10 ),
inference(resolve,[status(thm)],[c_4241,c_3833]) ).
cnf(c_4846,plain,
( op1(e12,e13) = e12
| op1(e10,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[status(thm)],[c_4261,c_3814]) ).
cnf(c_6019,plain,
( op1(e12,e13) = e11
| op1(e10,e12) = e12
| op1(e12,e13) = e11 ),
inference(resolve,[status(thm)],[c_4290,c_3832]) ).
cnf(c_4872,plain,
( op1(e10,e12) = e12
| op1(e12,e13) = e11 ),
inference(copy,[status(thm)],[c_6019]) ).
cnf(c_6020,plain,
( e12 != op1(e13,e12)
| op1(e12,e13) = e11 ),
inference(paramod,[status(thm)],[c_4872,c_138]) ).
cnf(c_4873,plain,
( op1(e13,e12) != e12
| op1(e12,e13) = e11 ),
inference(copy,[status(thm)],[c_6020]) ).
cnf(c_4879,plain,
( op1(e13,e12) = e12
| op1(e11,e10) = e13
| op1(e12,e13) = e11 ),
inference(resolve,[status(thm)],[c_4291,c_4105]) ).
cnf(c_6021,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e12) = e10 ),
inference(resolve,[status(thm)],[c_4839,c_4286]) ).
cnf(c_5021,plain,
( op1(e12,e13) = e11
| op1(e11,e12) = e10 ),
inference(copy,[status(thm)],[c_6021]) ).
cnf(c_6022,plain,
( e11 != op1(e11,e13)
| op1(e11,e12) = e10 ),
inference(paramod,[status(thm)],[c_5021,c_148]) ).
cnf(c_5023,plain,
( op1(e11,e13) != e11
| op1(e11,e12) = e10 ),
inference(copy,[status(thm)],[c_6022]) ).
cnf(c_5036,plain,
( op1(e10,e10) != e11
| op1(e12,e13) = e12
| op1(e13,e12) = e12 ),
inference(paramod,[status(thm)],[c_4846,c_154]) ).
cnf(c_6023,plain,
( op1(e12,e13) = e11
| op1(e11,e10) = e13
| op1(e12,e13) = e11 ),
inference(resolve,[status(thm)],[c_4879,c_4873]) ).
cnf(c_5123,plain,
( op1(e11,e10) = e13
| op1(e12,e13) = e11 ),
inference(copy,[status(thm)],[c_6023]) ).
cnf(c_5124,plain,
( op1(e11,e13) = e13
| op1(e11,e10) = e13 ),
inference(resolve,[status(thm)],[c_5123,c_4305]) ).
cnf(c_6024,plain,
( e11 != op1(e11,e13)
| op1(e11,e10) = e13 ),
inference(paramod,[status(thm)],[c_5123,c_148]) ).
cnf(c_5126,plain,
( op1(e11,e13) != e11
| op1(e11,e10) = e13 ),
inference(copy,[status(thm)],[c_6024]) ).
cnf(c_5131,plain,
( op1(e13,e10) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[status(thm)],[c_5124,c_4111]) ).
cnf(c_5132,plain,
( op1(e13,e12) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[status(thm)],[c_5124,c_3812]) ).
cnf(c_6025,plain,
( op1(e10,e10) = e11
| op1(e11,e13) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[status(thm)],[c_5131,c_4729]) ).
cnf(c_5143,plain,
( op1(e10,e10) = e11
| op1(e11,e13) = e13 ),
inference(copy,[status(thm)],[c_6025]) ).
cnf(c_5144,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[status(thm)],[c_5131,c_3831]) ).
cnf(c_6026,plain,
( e11 != op1(e10,e13)
| op1(e11,e13) = e13 ),
inference(paramod,[status(thm)],[c_5143,c_156]) ).
cnf(c_5180,plain,
( op1(e10,e13) != e11
| op1(e11,e13) = e13 ),
inference(copy,[status(thm)],[c_6026]) ).
cnf(c_6027,plain,
( op1(e11,e13) = e13
| op1(e10,e12) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[status(thm)],[c_5144,c_4234]) ).
cnf(c_5280,plain,
( op1(e10,e12) = e12
| op1(e11,e13) = e13 ),
inference(copy,[status(thm)],[c_6027]) ).
cnf(c_6028,plain,
( op1(e10,e10) = e11
| op1(e13,e10) = e13
| op1(e10,e10) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[status(thm)],[c_4080,c_3214]) ).
cnf(c_5302,plain,
( op1(e13,e10) = e13
| op1(e10,e10) = e11
| op1(e13,e12) = e12 ),
inference(copy,[status(thm)],[c_6028]) ).
cnf(c_6029,plain,
( op1(e12,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e10) = e13
| op1(e13,e12) = e12 ),
inference(resolve,[status(thm)],[c_5302,c_5036]) ).
cnf(c_5303,plain,
( op1(e12,e13) = e12
| op1(e13,e10) = e13
| op1(e13,e12) = e12 ),
inference(copy,[status(thm)],[c_6029]) ).
cnf(c_6030,plain,
( op1(e13,e12) = e12
| op1(e12,e13) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[status(thm)],[c_5303,c_4105]) ).
cnf(c_5316,plain,
( op1(e12,e13) = e12
| op1(e13,e12) = e12 ),
inference(copy,[status(thm)],[c_6030]) ).
cnf(c_6031,plain,
( op1(e12,e10) = e12
| op1(e12,e13) = e12
| op1(e12,e13) = e12 ),
inference(resolve,[status(thm)],[c_5316,c_4788]) ).
cnf(c_5324,plain,
( op1(e12,e10) = e12
| op1(e12,e13) = e12 ),
inference(copy,[status(thm)],[c_6031]) ).
cnf(c_5327,plain,
( op1(e13,e12) = e13
| defn_160
| defn_130
| defn_100
| defn_00
| op1(e12,e13) = e12 ),
inference(resolve,[status(thm)],[c_5324,c_4271]) ).
cnf(c_6032,plain,
( op1(e12,e13) = e12
| op1(e13,e12) = e13
| defn_130
| defn_100
| defn_00
| op1(e12,e13) = e12 ),
inference(resolve,[status(thm)],[c_5327,c_704]) ).
cnf(c_5542,plain,
( op1(e13,e12) = e13
| defn_130
| defn_100
| defn_00
| op1(e12,e13) = e12 ),
inference(copy,[status(thm)],[c_6032]) ).
cnf(c_6033,plain,
( op1(e13,e12) = e13
| defn_100
| defn_00
| op1(e12,e13) = e12
| op1(e13,e10) != e13 ),
inference(resolve,[status(thm)],[c_713,c_5542]) ).
cnf(c_6034,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e13
| defn_100
| defn_00
| op1(e12,e13) = e12 ),
inference(resolve,[status(thm)],[c_6033,c_2995]) ).
cnf(c_5550,plain,
( op1(e13,e12) = e13
| defn_100
| defn_00
| op1(e12,e13) = e12 ),
inference(copy,[status(thm)],[c_6034]) ).
cnf(c_5551,plain,
( op1(e11,e13) = e11
| op1(e13,e12) = e13
| defn_00
| op1(e12,e13) = e12 ),
inference(resolve,[status(thm)],[c_5550,c_728]) ).
cnf(c_6035,plain,
( op1(e11,e13) = e11
| op1(e13,e12) = e13
| op1(e12,e13) = e12
| op1(e10,e10) != e11 ),
inference(resolve,[status(thm)],[c_767,c_5551]) ).
cnf(c_6036,plain,
( op1(e12,e13) = e12
| op1(e13,e12) = e13
| op1(e11,e13) = e11
| op1(e13,e12) = e13
| op1(e12,e13) = e12 ),
inference(resolve,[status(thm)],[c_6035,c_4779]) ).
cnf(c_6037,plain,
( op1(e12,e13) = e12
| op1(e11,e13) = e11
| op1(e13,e12) = e13
| op1(e12,e13) = e12 ),
inference(copy,[status(thm)],[c_6036]) ).
cnf(c_5600,plain,
( op1(e11,e13) = e11
| op1(e13,e12) = e13
| op1(e12,e13) = e12 ),
inference(copy,[status(thm)],[c_6037]) ).
cnf(c_6038,plain,
( op1(e12,e13) = e12
| e13 = e12
| op1(e11,e13) = e11
| op1(e12,e13) = e12 ),
inference(paramod,[status(thm)],[c_5600,c_5316]) ).
cnf(c_6039,plain,
( e13 = e12
| op1(e11,e13) = e11
| op1(e12,e13) = e12 ),
inference(copy,[status(thm)],[c_6038]) ).
cnf(c_5618,plain,
( op1(e11,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[status(thm)],[c_267,c_6039]) ).
cnf(c_6040,plain,
( op1(e11,e13) = e11
| e12 = e11
| op1(e11,e13) = e11 ),
inference(paramod,[status(thm)],[c_5618,c_4294]) ).
cnf(c_6041,plain,
( e12 = e11
| op1(e11,e13) = e11 ),
inference(copy,[status(thm)],[c_6040]) ).
cnf(c_5644,plain,
op1(e11,e13) = e11,
inference(resolve,[status(thm)],[c_265,c_6041]) ).
cnf(c_6042,plain,
( op1(e10,e12) = e12
| e11 = e13 ),
inference(paramod,[status(thm)],[c_5644,c_5280]) ).
cnf(c_6043,plain,
( op1(e10,e12) = e12
| e13 = e11 ),
inference(copy,[status(thm)],[c_6042]) ).
cnf(c_5657,plain,
op1(e10,e12) = e12,
inference(resolve,[status(thm)],[c_266,c_6043]) ).
cnf(c_6044,plain,
( op1(e10,e13) != e11
| e11 = e13 ),
inference(paramod,[status(thm)],[c_5644,c_5180]) ).
cnf(c_6045,plain,
( op1(e10,e13) != e11
| e13 = e11 ),
inference(copy,[status(thm)],[c_6044]) ).
cnf(c_5677,plain,
op1(e10,e13) != e11,
inference(resolve,[status(thm)],[c_266,c_6045]) ).
cnf(c_6046,plain,
( op1(e13,e12) = e13
| e11 = e13 ),
inference(paramod,[status(thm)],[c_5644,c_5132]) ).
cnf(c_6047,plain,
( op1(e13,e12) = e13
| e13 = e11 ),
inference(copy,[status(thm)],[c_6046]) ).
cnf(c_5685,plain,
op1(e13,e12) = e13,
inference(resolve,[status(thm)],[c_266,c_6047]) ).
cnf(c_6048,plain,
( op1(e13,e10) = e12
| e11 = e13 ),
inference(paramod,[status(thm)],[c_5644,c_5131]) ).
cnf(c_6049,plain,
( op1(e13,e10) = e12
| e13 = e11 ),
inference(copy,[status(thm)],[c_6048]) ).
cnf(c_5686,plain,
op1(e13,e10) = e12,
inference(resolve,[status(thm)],[c_266,c_6049]) ).
cnf(c_6050,plain,
( e11 != e11
| op1(e11,e10) = e13 ),
inference(paramod,[status(thm)],[c_5644,c_5126]) ).
cnf(c_5687,plain,
op1(e11,e10) = e13,
inference(copy,[status(thm)],[c_6050]) ).
cnf(c_6051,plain,
( e11 != e11
| op1(e11,e12) = e10 ),
inference(paramod,[status(thm)],[c_5644,c_5023]) ).
cnf(c_5688,plain,
op1(e11,e12) = e10,
inference(copy,[status(thm)],[c_6051]) ).
cnf(c_6052,plain,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != e23
| h2(op1(e10,e12)) != e22
| op1(e10,e13) = e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_5657,c_4633]) ).
cnf(c_6053,plain,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != e23
| h2(e12) != e22
| op1(e10,e13) = e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_5657,c_6052]) ).
cnf(c_6054,plain,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e10)) != e23
| h2(op1(e10,e13)) != e23
| e22 != e22
| op1(e10,e13) = e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_1254,c_6053]) ).
cnf(c_6055,plain,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e11,e12)) != e20
| h2(e13) != e23
| h2(op1(e10,e13)) != e23
| e22 != e22
| op1(e10,e13) = e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_5687,c_6054]) ).
cnf(c_6056,plain,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e11,e12)) != e20
| e23 != e23
| h2(op1(e10,e13)) != e23
| e22 != e22
| op1(e10,e13) = e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_1256,c_6055]) ).
cnf(c_6057,plain,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e11,e13)) != e21
| h2(e10) != e20
| e23 != e23
| h2(op1(e10,e13)) != e23
| e22 != e22
| op1(e10,e13) = e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_5688,c_6056]) ).
cnf(c_6058,plain,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e11,e13)) != e21
| e20 != e20
| e23 != e23
| h2(op1(e10,e13)) != e23
| e22 != e22
| op1(e10,e13) = e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_2595,c_6057]) ).
cnf(c_6059,plain,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(e11) != e21
| e20 != e20
| e23 != e23
| h2(op1(e10,e13)) != e23
| e22 != e22
| op1(e10,e13) = e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_5644,c_6058]) ).
cnf(c_6060,plain,
( h2(op1(e13,e12)) != e23
| h2(op1(e13,e10)) != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| e21 != e21
| e20 != e20
| e23 != e23
| h2(op1(e10,e13)) != e23
| e22 != e22
| op1(e10,e13) = e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_1250,c_6059]) ).
cnf(c_6061,plain,
( h2(op1(e13,e12)) != e23
| h2(e12) != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| e21 != e21
| e20 != e20
| e23 != e23
| h2(op1(e10,e13)) != e23
| e22 != e22
| op1(e10,e13) = e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_5686,c_6060]) ).
cnf(c_6062,plain,
( h2(op1(e13,e12)) != e23
| e22 != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| e21 != e21
| e20 != e20
| e23 != e23
| h2(op1(e10,e13)) != e23
| e22 != e22
| op1(e10,e13) = e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_1254,c_6061]) ).
cnf(c_6063,plain,
( h2(e13) != e23
| e22 != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| e21 != e21
| e20 != e20
| e23 != e23
| h2(op1(e10,e13)) != e23
| e22 != e22
| op1(e10,e13) = e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_5685,c_6062]) ).
cnf(c_6064,plain,
( e23 != e23
| e22 != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| e21 != e21
| e20 != e20
| e23 != e23
| h2(op1(e10,e13)) != e23
| e22 != e22
| op1(e10,e13) = e11
| e12 = e11 ),
inference(paramod,[status(thm)],[c_1256,c_6063]) ).
cnf(c_6065,plain,
( e23 != e23
| e22 != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| e21 != e21
| e20 != e20
| e23 != e23
| h2(op1(e10,e13)) != e23
| op1(e10,e13) = e11
| e12 = e11 ),
inference(copy,[status(thm)],[c_6064]) ).
cnf(c_6066,plain,
( e23 != e23
| e22 != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| e21 != e21
| e20 != e20
| h2(op1(e10,e13)) != e23
| op1(e10,e13) = e11
| e12 = e11 ),
inference(copy,[status(thm)],[c_6065]) ).
cnf(c_6067,plain,
( e23 != e23
| e22 != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| e21 != e21
| h2(op1(e10,e13)) != e23
| op1(e10,e13) = e11
| e12 = e11 ),
inference(copy,[status(thm)],[c_6066]) ).
cnf(c_6068,plain,
( e23 != e23
| e22 != e22
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e10,e13)) != e23
| op1(e10,e13) = e11
| e12 = e11 ),
inference(copy,[status(thm)],[c_6067]) ).
cnf(c_6069,plain,
( e23 != e23
| h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e10,e13)) != e23
| op1(e10,e13) = e11
| e12 = e11 ),
inference(copy,[status(thm)],[c_6068]) ).
cnf(c_6070,plain,
( h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e10,e13)) != e23
| op1(e10,e13) = e11
| e12 = e11 ),
inference(copy,[status(thm)],[c_6069]) ).
cnf(c_6071,plain,
( h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e10,e13)) != e23
| op1(e10,e13) = e11 ),
inference(resolve,[status(thm)],[c_265,c_6070]) ).
cnf(c_5691,plain,
( h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(op1(e10,e13)) != e23 ),
inference(resolve,[status(thm)],[c_5677,c_6071]) ).
cnf(c_6072,plain,
( e11 = e13
| op1(e12,e12) = e11 ),
inference(paramod,[status(thm)],[c_5644,c_4298]) ).
cnf(c_6073,plain,
( e13 = e11
| op1(e12,e12) = e11 ),
inference(copy,[status(thm)],[c_6072]) ).
cnf(c_5697,plain,
op1(e12,e12) = e11,
inference(resolve,[status(thm)],[c_266,c_6073]) ).
cnf(c_6074,plain,
( e11 = e13
| op1(e12,e13) = e12 ),
inference(paramod,[status(thm)],[c_5644,c_3815]) ).
cnf(c_6075,plain,
( e13 = e11
| op1(e12,e13) = e12 ),
inference(copy,[status(thm)],[c_6074]) ).
cnf(c_5700,plain,
op1(e12,e13) = e12,
inference(resolve,[status(thm)],[c_266,c_6075]) ).
cnf(c_6076,plain,
( e11 = e13
| op1(e10,e13) = e13 ),
inference(paramod,[status(thm)],[c_5644,c_2994]) ).
cnf(c_6077,plain,
( e13 = e11
| op1(e10,e13) = e13 ),
inference(copy,[status(thm)],[c_6076]) ).
cnf(c_5703,plain,
op1(e10,e13) = e13,
inference(resolve,[status(thm)],[c_266,c_6077]) ).
cnf(c_6078,plain,
( op1(e12,e10) = e10
| e13 = e10 ),
inference(paramod,[status(thm)],[c_5687,c_3247]) ).
cnf(c_6079,plain,
( op1(e12,e10) = e10
| e10 = e13 ),
inference(copy,[status(thm)],[c_6078]) ).
cnf(c_5710,plain,
op1(e12,e10) = e10,
inference(resolve,[status(thm)],[c_264,c_6079]) ).
cnf(c_6080,plain,
( h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| h2(e13) != e23 ),
inference(paramod,[status(thm)],[c_5703,c_5691]) ).
cnf(c_6081,plain,
( h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e10)) != e20
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1256,c_6080]) ).
cnf(c_6082,plain,
( h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| h2(e10) != e20
| e23 != e23 ),
inference(paramod,[status(thm)],[c_5710,c_6081]) ).
cnf(c_6083,plain,
( h2(op1(e12,e13)) != e22
| h2(op1(e12,e12)) != e21
| e20 != e20
| e23 != e23 ),
inference(paramod,[status(thm)],[c_2595,c_6082]) ).
cnf(c_6084,plain,
( h2(op1(e12,e13)) != e22
| h2(e11) != e21
| e20 != e20
| e23 != e23 ),
inference(paramod,[status(thm)],[c_5697,c_6083]) ).
cnf(c_6085,plain,
( h2(op1(e12,e13)) != e22
| e21 != e21
| e20 != e20
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1250,c_6084]) ).
cnf(c_6086,plain,
( h2(e12) != e22
| e21 != e21
| e20 != e20
| e23 != e23 ),
inference(paramod,[status(thm)],[c_5700,c_6085]) ).
cnf(c_6087,plain,
( e22 != e22
| e21 != e21
| e20 != e20
| e23 != e23 ),
inference(paramod,[status(thm)],[c_1254,c_6086]) ).
cnf(c_6088,plain,
( e22 != e22
| e21 != e21
| e20 != e20 ),
inference(copy,[status(thm)],[c_6087]) ).
cnf(c_6089,plain,
( e22 != e22
| e21 != e21 ),
inference(copy,[status(thm)],[c_6088]) ).
cnf(c_6090,plain,
e22 != e22,
inference(copy,[status(thm)],[c_6089]) ).
cnf(c_5711,plain,
$false,
inference(copy,[status(thm)],[c_6090]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG102+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 21:08:17 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.39 % Process 3107021 was started by sandbox on n005,
% 0.12/0.39 % Sat Sep 26 21:08:17 2026
% 0.12/0.39 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 15.96/16.22
% 15.96/16.22 % From the command line: assign(max_seconds, 300).
% 28.58/18.03
% 28.58/18.03 % given #500 (I,wt=44): 3170 defn_410 | h1(e12) = e21 | op2(e22,op2(e22,e23)) = e23 | op2(e23,op2(e23,e22)) = e22. [back_rewrite(2749),rewrite([3075(4)]),xx(b)].
% 28.58/18.03
% 28.58/18.03 % given #1000 (T,wt=20): 5280 op1(e11,e13) = e13 | op1(e10,e12) = e12. [resolve(5144,c,4234,b),merge(c)].
% 28.58/18.03
% 28.58/18.03 % SZS status Theorem for theBenchmark
% 28.58/18.03
% 28.58/18.03 % Proof 1 at 1.51 (+ 0.24) seconds.
% 28.58/18.03 % Length of proof is 523.
% 28.58/18.03 % Level of proof is 34.
% 28.58/18.03 % Maximum clause weight is 135.000.
% 28.58/18.03 % Given clauses 1142.
% 28.58/18.03
% 28.58/18.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------