TSTP Solution File: ALG120+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ALG120+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:01:53 EDT 2024
% Result : Theorem 3.68s 0.85s
% Output : CNFRefutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 35
% Syntax : Number of formulae : 937 ( 223 unt; 0 def)
% Number of atoms : 8014 (6466 equ)
% Maximal formula atoms : 1280 ( 8 avg)
% Number of connectives : 11621 (4544 ~;4924 |;2120 &)
% ( 18 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax10,axiom,
( ( op1(e10,e10) != e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e11,e11) != e11
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e12) != e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e13) != e13
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(ax7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(ax5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax12,axiom,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(ax2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(ax6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(ax11,axiom,
( ( op2(e20,e20) != e20
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e21) != e21
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e22) != e22
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e23) != e23
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(ax17,axiom,
( h4(e12) = e23
& h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e13) = op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(ax13,axiom,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(ax8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(ax15,axiom,
( h2(e12) = e21
& h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e13) = op2(e21,e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(ax3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(ax14,axiom,
( h1(e12) = e20
& h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e13) = op2(e20,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(ax4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(co1,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax16,axiom,
( h3(e12) = e22
& h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e13) = op2(e22,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(c_0_17,plain,
( epred7_0
<=> ( ( op1(e10,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 ) ) ),
introduced(definition) ).
fof(c_0_18,plain,
( ( op1(e10,e10) != e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e11,e11) != e11
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e12) != e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e13) != e13
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( epred7_0
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 )
| ( op1(e13,e13) = e13
& op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax10]),c_0_17]) ).
fof(c_0_19,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(fof_simplification,[status(thm)],[ax7]) ).
fof(c_0_20,plain,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(fof_simplification,[status(thm)],[ax5]) ).
fof(c_0_21,plain,
( ( op1(e10,e10) != e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e11,e11) != e11
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e12) != e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e13) != e13
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| epred7_0 )
& ( op1(e13,op1(e13,e10)) != e10
| op1(e13,e12) = e13
| epred7_0 )
& ( op1(e13,op1(e13,e11)) != e11
| op1(e13,e12) = e13
| epred7_0 )
& ( op1(e13,op1(e13,e12)) != e12
| op1(e13,e12) = e13
| epred7_0 )
& ( op1(e13,op1(e13,e13)) != e13
| op1(e13,e12) = e13
| epred7_0 )
& ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| epred7_0 )
& ( op1(e13,op1(e13,e10)) != e10
| op1(e12,e13) = e13
| epred7_0 )
& ( op1(e13,op1(e13,e11)) != e11
| op1(e12,e13) = e13
| epred7_0 )
& ( op1(e13,op1(e13,e12)) != e12
| op1(e12,e13) = e13
| epred7_0 )
& ( op1(e13,op1(e13,e13)) != e13
| op1(e12,e13) = e13
| epred7_0 )
& ( op1(e13,e13) = e13
| op1(e13,op1(e13,e10)) != e10
| epred7_0 )
& ( op1(e13,op1(e13,e10)) != e10
| op1(e13,op1(e13,e10)) != e10
| epred7_0 )
& ( op1(e13,op1(e13,e11)) != e11
| op1(e13,op1(e13,e10)) != e10
| epred7_0 )
& ( op1(e13,op1(e13,e12)) != e12
| op1(e13,op1(e13,e10)) != e10
| epred7_0 )
& ( op1(e13,op1(e13,e13)) != e13
| op1(e13,op1(e13,e10)) != e10
| epred7_0 )
& ( op1(e13,e13) = e13
| op1(e13,op1(e13,e11)) != e11
| epred7_0 )
& ( op1(e13,op1(e13,e10)) != e10
| op1(e13,op1(e13,e11)) != e11
| epred7_0 )
& ( op1(e13,op1(e13,e11)) != e11
| op1(e13,op1(e13,e11)) != e11
| epred7_0 )
& ( op1(e13,op1(e13,e12)) != e12
| op1(e13,op1(e13,e11)) != e11
| epred7_0 )
& ( op1(e13,op1(e13,e13)) != e13
| op1(e13,op1(e13,e11)) != e11
| epred7_0 )
& ( op1(e13,e13) = e13
| op1(e13,op1(e13,e12)) != e12
| epred7_0 )
& ( op1(e13,op1(e13,e10)) != e10
| op1(e13,op1(e13,e12)) != e12
| epred7_0 )
& ( op1(e13,op1(e13,e11)) != e11
| op1(e13,op1(e13,e12)) != e12
| epred7_0 )
& ( op1(e13,op1(e13,e12)) != e12
| op1(e13,op1(e13,e12)) != e12
| epred7_0 )
& ( op1(e13,op1(e13,e13)) != e13
| op1(e13,op1(e13,e12)) != e12
| epred7_0 )
& ( op1(e13,e13) = e13
| op1(e13,op1(e13,e13)) != e13
| epred7_0 )
& ( op1(e13,op1(e13,e10)) != e10
| op1(e13,op1(e13,e13)) != e13
| epred7_0 )
& ( op1(e13,op1(e13,e11)) != e11
| op1(e13,op1(e13,e13)) != e13
| epred7_0 )
& ( op1(e13,op1(e13,e12)) != e12
| op1(e13,op1(e13,e13)) != e13
| epred7_0 )
& ( op1(e13,op1(e13,e13)) != e13
| op1(e13,op1(e13,e13)) != e13
| epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
cnf(c_0_22,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_23,plain,
e13 = op1(e12,e12),
inference(split_conjunct,[status(thm)],[ax12]) ).
fof(c_0_24,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(fof_nnf,[status(thm)],[c_0_19]) ).
fof(c_0_25,plain,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(fof_nnf,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12
| op1(e11,e12) != e11 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
op1(e13,e13) = e11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]) ).
cnf(c_0_28,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_30,plain,
( epred3_0
<=> ( ( op1(e10,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ) ),
introduced(definition) ).
fof(c_0_31,plain,
( epred2_0
<=> ( ( op1(e10,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ) ),
introduced(definition) ).
fof(c_0_32,plain,
( epred4_0
<=> ( ( op1(e10,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ) ),
introduced(definition) ).
cnf(c_0_33,plain,
op1(e11,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
( op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e11,e12) != e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_23]),c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_35,plain,
e10 = op1(op1(e12,e12),e12),
inference(split_conjunct,[status(thm)],[ax12]) ).
fof(c_0_36,plain,
( epred6_0
<=> ( ( op1(e10,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ) ),
introduced(definition) ).
fof(c_0_37,plain,
( epred5_0
<=> ( ( op1(e10,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ) ),
introduced(definition) ).
fof(c_0_38,plain,
( epred3_0
=> ( epred2_0
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_30]),c_0_31]) ).
fof(c_0_39,plain,
( epred4_0
=> ( epred3_0
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_32]),c_0_30]) ).
cnf(c_0_40,plain,
op1(e10,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_41,plain,
( op1(e10,e10) = e12
| op1(e13,e11) != e12
| op1(e11,e12) != e11 ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_42,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_43,plain,
op1(e13,e12) = e10,
inference(rw,[status(thm)],[c_0_35,c_0_23]) ).
cnf(c_0_44,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_45,plain,
( epred7_0
=> ( epred6_0
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_17]),c_0_36]) ).
fof(c_0_46,plain,
( epred6_0
=> ( epred5_0
| ( op1(e12,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_36]),c_0_37]) ).
fof(c_0_47,plain,
( epred1_0
<=> ( ( op1(e10,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ) ),
introduced(definition) ).
fof(c_0_48,plain,
( ( op1(e11,e11) = e11
| op1(e11,e10) = e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e10)) != e10
| op1(e11,e10) = e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e11)) != e11
| op1(e11,e10) = e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e12)) != e12
| op1(e11,e10) = e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e13)) != e13
| op1(e11,e10) = e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,e11) = e11
| op1(e10,e11) = e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e10)) != e10
| op1(e10,e11) = e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e11)) != e11
| op1(e10,e11) = e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e12)) != e12
| op1(e10,e11) = e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e13)) != e13
| op1(e10,e11) = e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,e11) = e11
| op1(e11,op1(e11,e10)) != e10
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e10)) != e10
| op1(e11,op1(e11,e10)) != e10
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e11)) != e11
| op1(e11,op1(e11,e10)) != e10
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e12)) != e12
| op1(e11,op1(e11,e10)) != e10
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e13)) != e13
| op1(e11,op1(e11,e10)) != e10
| epred2_0
| ~ epred3_0 )
& ( op1(e11,e11) = e11
| op1(e11,op1(e11,e11)) != e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e10)) != e10
| op1(e11,op1(e11,e11)) != e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e11)) != e11
| op1(e11,op1(e11,e11)) != e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e12)) != e12
| op1(e11,op1(e11,e11)) != e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e13)) != e13
| op1(e11,op1(e11,e11)) != e11
| epred2_0
| ~ epred3_0 )
& ( op1(e11,e11) = e11
| op1(e11,op1(e11,e12)) != e12
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e10)) != e10
| op1(e11,op1(e11,e12)) != e12
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e11)) != e11
| op1(e11,op1(e11,e12)) != e12
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e12)) != e12
| op1(e11,op1(e11,e12)) != e12
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e13)) != e13
| op1(e11,op1(e11,e12)) != e12
| epred2_0
| ~ epred3_0 )
& ( op1(e11,e11) = e11
| op1(e11,op1(e11,e13)) != e13
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e10)) != e10
| op1(e11,op1(e11,e13)) != e13
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e11)) != e11
| op1(e11,op1(e11,e13)) != e13
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e12)) != e12
| op1(e11,op1(e11,e13)) != e13
| epred2_0
| ~ epred3_0 )
& ( op1(e11,op1(e11,e13)) != e13
| op1(e11,op1(e11,e13)) != e13
| epred2_0
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
fof(c_0_49,plain,
( ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| epred3_0
| ~ epred4_0 )
& ( op1(e13,e11) = e11
| op1(e11,e12) = e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e10)) != e10
| op1(e11,e12) = e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e11)) != e11
| op1(e11,e12) = e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e12)) != e12
| op1(e11,e12) = e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e13)) != e13
| op1(e11,e12) = e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,e13) = e11
| op1(e12,e11) = e11
| epred3_0
| ~ epred4_0 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e10)) != e10
| op1(e12,e11) = e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e11)) != e11
| op1(e12,e11) = e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e12)) != e12
| op1(e12,e11) = e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e13)) != e13
| op1(e12,e11) = e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,e13) = e11
| op1(e11,op1(e11,e10)) != e10
| epred3_0
| ~ epred4_0 )
& ( op1(e13,e11) = e11
| op1(e11,op1(e11,e10)) != e10
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e10)) != e10
| op1(e11,op1(e11,e10)) != e10
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e11)) != e11
| op1(e11,op1(e11,e10)) != e10
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e12)) != e12
| op1(e11,op1(e11,e10)) != e10
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e13)) != e13
| op1(e11,op1(e11,e10)) != e10
| epred3_0
| ~ epred4_0 )
& ( op1(e11,e13) = e11
| op1(e11,op1(e11,e11)) != e11
| epred3_0
| ~ epred4_0 )
& ( op1(e13,e11) = e11
| op1(e11,op1(e11,e11)) != e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e10)) != e10
| op1(e11,op1(e11,e11)) != e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e11)) != e11
| op1(e11,op1(e11,e11)) != e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e12)) != e12
| op1(e11,op1(e11,e11)) != e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e13)) != e13
| op1(e11,op1(e11,e11)) != e11
| epred3_0
| ~ epred4_0 )
& ( op1(e11,e13) = e11
| op1(e11,op1(e11,e12)) != e12
| epred3_0
| ~ epred4_0 )
& ( op1(e13,e11) = e11
| op1(e11,op1(e11,e12)) != e12
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e10)) != e10
| op1(e11,op1(e11,e12)) != e12
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e11)) != e11
| op1(e11,op1(e11,e12)) != e12
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e12)) != e12
| op1(e11,op1(e11,e12)) != e12
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e13)) != e13
| op1(e11,op1(e11,e12)) != e12
| epred3_0
| ~ epred4_0 )
& ( op1(e11,e13) = e11
| op1(e11,op1(e11,e13)) != e13
| epred3_0
| ~ epred4_0 )
& ( op1(e13,e11) = e11
| op1(e11,op1(e11,e13)) != e13
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e10)) != e10
| op1(e11,op1(e11,e13)) != e13
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e11)) != e11
| op1(e11,op1(e11,e13)) != e13
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e12)) != e12
| op1(e11,op1(e11,e13)) != e13
| epred3_0
| ~ epred4_0 )
& ( op1(e11,op1(e11,e13)) != e13
| op1(e11,op1(e11,e13)) != e13
| epred3_0
| ~ epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
cnf(c_0_50,plain,
( op1(e12,e10) != e12
| op1(e13,e11) != e12
| op1(e11,e12) != e11 ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_51,plain,
( op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_27]),c_0_44]),c_0_29]) ).
cnf(c_0_52,plain,
op1(e11,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_53,plain,
op1(e11,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_54,plain,
( ( op1(e13,e11) = e13
| op1(e13,e10) = e13
| epred6_0
| ~ epred7_0 )
& ( op1(e11,e13) = e13
| op1(e13,e10) = e13
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e10)) != e10
| op1(e13,e10) = e13
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e11)) != e11
| op1(e13,e10) = e13
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e12)) != e12
| op1(e13,e10) = e13
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e13)) != e13
| op1(e13,e10) = e13
| epred6_0
| ~ epred7_0 )
& ( op1(e13,e11) = e13
| op1(e10,e13) = e13
| epred6_0
| ~ epred7_0 )
& ( op1(e11,e13) = e13
| op1(e10,e13) = e13
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e10)) != e10
| op1(e10,e13) = e13
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e11)) != e11
| op1(e10,e13) = e13
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e12)) != e12
| op1(e10,e13) = e13
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e13)) != e13
| op1(e10,e13) = e13
| epred6_0
| ~ epred7_0 )
& ( op1(e13,e11) = e13
| op1(e13,op1(e13,e10)) != e10
| epred6_0
| ~ epred7_0 )
& ( op1(e11,e13) = e13
| op1(e13,op1(e13,e10)) != e10
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e10)) != e10
| op1(e13,op1(e13,e10)) != e10
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e11)) != e11
| op1(e13,op1(e13,e10)) != e10
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e12)) != e12
| op1(e13,op1(e13,e10)) != e10
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e13)) != e13
| op1(e13,op1(e13,e10)) != e10
| epred6_0
| ~ epred7_0 )
& ( op1(e13,e11) = e13
| op1(e13,op1(e13,e11)) != e11
| epred6_0
| ~ epred7_0 )
& ( op1(e11,e13) = e13
| op1(e13,op1(e13,e11)) != e11
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e10)) != e10
| op1(e13,op1(e13,e11)) != e11
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e11)) != e11
| op1(e13,op1(e13,e11)) != e11
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e12)) != e12
| op1(e13,op1(e13,e11)) != e11
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e13)) != e13
| op1(e13,op1(e13,e11)) != e11
| epred6_0
| ~ epred7_0 )
& ( op1(e13,e11) = e13
| op1(e13,op1(e13,e12)) != e12
| epred6_0
| ~ epred7_0 )
& ( op1(e11,e13) = e13
| op1(e13,op1(e13,e12)) != e12
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e10)) != e10
| op1(e13,op1(e13,e12)) != e12
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e11)) != e11
| op1(e13,op1(e13,e12)) != e12
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e12)) != e12
| op1(e13,op1(e13,e12)) != e12
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e13)) != e13
| op1(e13,op1(e13,e12)) != e12
| epred6_0
| ~ epred7_0 )
& ( op1(e13,e11) = e13
| op1(e13,op1(e13,e13)) != e13
| epred6_0
| ~ epred7_0 )
& ( op1(e11,e13) = e13
| op1(e13,op1(e13,e13)) != e13
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e10)) != e10
| op1(e13,op1(e13,e13)) != e13
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e11)) != e11
| op1(e13,op1(e13,e13)) != e13
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e12)) != e12
| op1(e13,op1(e13,e13)) != e13
| epred6_0
| ~ epred7_0 )
& ( op1(e13,op1(e13,e13)) != e13
| op1(e13,op1(e13,e13)) != e13
| epred6_0
| ~ epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
fof(c_0_55,plain,
( ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| epred5_0
| ~ epred6_0 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e12,e12) = e12
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e12,e12) = e12
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e12,e12) = e12
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e12,e12) = e12
| epred5_0
| ~ epred6_0 )
& ( op1(e12,e13) = e12
| op1(e12,op1(e12,e10)) != e10
| epred5_0
| ~ epred6_0 )
& ( op1(e13,e12) = e12
| op1(e12,op1(e12,e10)) != e10
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e12,op1(e12,e10)) != e10
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e12,op1(e12,e10)) != e10
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e12,op1(e12,e10)) != e10
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e12,op1(e12,e10)) != e10
| epred5_0
| ~ epred6_0 )
& ( op1(e12,e13) = e12
| op1(e12,op1(e12,e11)) != e11
| epred5_0
| ~ epred6_0 )
& ( op1(e13,e12) = e12
| op1(e12,op1(e12,e11)) != e11
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e12,op1(e12,e11)) != e11
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e12,op1(e12,e11)) != e11
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e12,op1(e12,e11)) != e11
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e12,op1(e12,e11)) != e11
| epred5_0
| ~ epred6_0 )
& ( op1(e12,e13) = e12
| op1(e12,op1(e12,e12)) != e12
| epred5_0
| ~ epred6_0 )
& ( op1(e13,e12) = e12
| op1(e12,op1(e12,e12)) != e12
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e12,op1(e12,e12)) != e12
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e12,op1(e12,e12)) != e12
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e12,op1(e12,e12)) != e12
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e12,op1(e12,e12)) != e12
| epred5_0
| ~ epred6_0 )
& ( op1(e12,e13) = e12
| op1(e12,op1(e12,e13)) != e13
| epred5_0
| ~ epred6_0 )
& ( op1(e13,e12) = e12
| op1(e12,op1(e12,e13)) != e13
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e12,op1(e12,e13)) != e13
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e12,op1(e12,e13)) != e13
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e12,op1(e12,e13)) != e13
| epred5_0
| ~ epred6_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e12,op1(e12,e13)) != e13
| epred5_0
| ~ epred6_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
fof(c_0_56,plain,
( epred2_0
=> ( epred1_0
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_31]),c_0_47]) ).
cnf(c_0_57,plain,
( epred2_0
| op1(e11,op1(e11,e11)) != e11
| op1(e11,op1(e11,e11)) != e11
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10
| op1(e11,e10) != e11 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_59,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_60,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_61,plain,
( epred3_0
| op1(e11,op1(e11,e11)) != e11
| op1(e11,op1(e11,e11)) != e11
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_62,plain,
op1(e12,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_63,plain,
( op1(e13,e10) = e12
| op1(e12,e10) != e12
| op1(e11,e12) != e11 ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_64,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_65,plain,
op1(e11,e12) != e10,
inference(rw,[status(thm)],[c_0_52,c_0_43]) ).
cnf(c_0_66,plain,
op1(e11,e12) != e13,
inference(rw,[status(thm)],[c_0_53,c_0_23]) ).
cnf(c_0_67,plain,
op1(e12,e12) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_68,plain,
( epred6_0
| op1(e13,op1(e13,e13)) != e13
| op1(e13,op1(e13,e13)) != e13
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_69,plain,
( epred7_0
| op1(e13,op1(e13,e13)) != e13
| op1(e13,op1(e13,e13)) != e13 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_70,plain,
( epred5_0
| op1(e12,op1(e12,e12)) != e12
| op1(e12,op1(e12,e12)) != e12
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_71,plain,
( epred7_0
| op1(e13,op1(e13,e12)) != e12
| op1(e13,op1(e13,e12)) != e12 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_72,plain,
( ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| epred1_0
| ~ epred2_0 )
& ( op1(e13,e10) = e10
| op1(e10,e12) = e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e10)) != e10
| op1(e10,e12) = e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e11)) != e11
| op1(e10,e12) = e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e12)) != e12
| op1(e10,e12) = e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e13)) != e13
| op1(e10,e12) = e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,e13) = e10
| op1(e12,e10) = e10
| epred1_0
| ~ epred2_0 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e10)) != e10
| op1(e12,e10) = e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e11)) != e11
| op1(e12,e10) = e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e12)) != e12
| op1(e12,e10) = e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e13)) != e13
| op1(e12,e10) = e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,e13) = e10
| op1(e10,op1(e10,e10)) != e10
| epred1_0
| ~ epred2_0 )
& ( op1(e13,e10) = e10
| op1(e10,op1(e10,e10)) != e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e10)) != e10
| op1(e10,op1(e10,e10)) != e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e11)) != e11
| op1(e10,op1(e10,e10)) != e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e12)) != e12
| op1(e10,op1(e10,e10)) != e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e13)) != e13
| op1(e10,op1(e10,e10)) != e10
| epred1_0
| ~ epred2_0 )
& ( op1(e10,e13) = e10
| op1(e10,op1(e10,e11)) != e11
| epred1_0
| ~ epred2_0 )
& ( op1(e13,e10) = e10
| op1(e10,op1(e10,e11)) != e11
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e10)) != e10
| op1(e10,op1(e10,e11)) != e11
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e11)) != e11
| op1(e10,op1(e10,e11)) != e11
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e12)) != e12
| op1(e10,op1(e10,e11)) != e11
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e13)) != e13
| op1(e10,op1(e10,e11)) != e11
| epred1_0
| ~ epred2_0 )
& ( op1(e10,e13) = e10
| op1(e10,op1(e10,e12)) != e12
| epred1_0
| ~ epred2_0 )
& ( op1(e13,e10) = e10
| op1(e10,op1(e10,e12)) != e12
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e10)) != e10
| op1(e10,op1(e10,e12)) != e12
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e11)) != e11
| op1(e10,op1(e10,e12)) != e12
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e12)) != e12
| op1(e10,op1(e10,e12)) != e12
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e13)) != e13
| op1(e10,op1(e10,e12)) != e12
| epred1_0
| ~ epred2_0 )
& ( op1(e10,e13) = e10
| op1(e10,op1(e10,e13)) != e13
| epred1_0
| ~ epred2_0 )
& ( op1(e13,e10) = e10
| op1(e10,op1(e10,e13)) != e13
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e10)) != e10
| op1(e10,op1(e10,e13)) != e13
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e11)) != e11
| op1(e10,op1(e10,e13)) != e13
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e12)) != e12
| op1(e10,op1(e10,e13)) != e13
| epred1_0
| ~ epred2_0 )
& ( op1(e10,op1(e10,e13)) != e13
| op1(e10,op1(e10,e13)) != e13
| epred1_0
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])]) ).
cnf(c_0_73,plain,
op1(e10,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_74,plain,
op1(e13,e10) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_75,plain,
( epred2_0
| op1(e11,op1(e11,e11)) != e11
| ~ epred3_0 ),
inference(cn,[status(thm)],[c_0_57]) ).
cnf(c_0_76,plain,
( op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e11,e10) != e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_23]),c_0_27]),c_0_59]),c_0_60]) ).
cnf(c_0_77,plain,
( epred3_0
| op1(e11,op1(e11,e11)) != e11
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_61]) ).
fof(c_0_78,plain,
( epred1_0
=> ( ( op1(e10,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ) ),
inference(split_equiv,[status(thm)],[c_0_47]) ).
cnf(c_0_79,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10
| op1(e12,e10) != e12 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_80,plain,
( epred2_0
| op1(e11,op1(e11,e12)) != e12
| op1(e11,op1(e11,e12)) != e12
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_81,plain,
( op1(e12,e10) != e12
| op1(e11,e12) != e11 ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_82,plain,
( op1(e11,e12) = e12
| op1(e11,e12) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_83,plain,
( epred3_0
| op1(e11,op1(e11,e12)) != e12
| op1(e11,op1(e11,e12)) != e12
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_84,plain,
( epred5_0
=> ( epred4_0
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_37]),c_0_32]) ).
cnf(c_0_85,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_86,plain,
op1(e12,e13) != e13,
inference(rw,[status(thm)],[c_0_67,c_0_23]) ).
cnf(c_0_87,plain,
( epred6_0
| op1(e13,op1(e13,e13)) != e13
| ~ epred7_0 ),
inference(cn,[status(thm)],[c_0_68]) ).
cnf(c_0_88,plain,
( epred7_0
| op1(e13,op1(e13,e13)) != e13 ),
inference(cn,[status(thm)],[c_0_69]) ).
cnf(c_0_89,plain,
( epred5_0
| op1(e12,op1(e12,e12)) != e12
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_70]) ).
cnf(c_0_90,plain,
( epred6_0
| op1(e13,op1(e13,e12)) != e12
| op1(e13,op1(e13,e12)) != e12
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_91,plain,
( epred7_0
| op1(e13,op1(e13,e12)) != e12 ),
inference(cn,[status(thm)],[c_0_71]) ).
cnf(c_0_92,plain,
( op1(e13,e10) = e10
| op1(e10,e12) = e10
| epred1_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_93,plain,
op1(e10,e12) != e10,
inference(rw,[status(thm)],[c_0_73,c_0_43]) ).
cnf(c_0_94,plain,
op1(e13,e10) != e10,
inference(rw,[status(thm)],[c_0_74,c_0_43]) ).
cnf(c_0_95,plain,
( op1(e10,e10) = e10
| epred2_0
| op1(e11,e10) != e11
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_96,plain,
( op1(e10,e10) = e10
| epred3_0
| op1(e11,e10) != e11
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_77,c_0_76]) ).
cnf(c_0_97,plain,
op1(e11,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_98,plain,
( ( op1(e10,e11) = e10
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e11,e10) = e10
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e10,op1(e10,e10)) != e10
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e10,op1(e10,e11)) != e11
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e10,op1(e10,e12)) != e12
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e10,op1(e10,e13)) != e13
| op1(e10,e10) = e10
| ~ epred1_0 )
& ( op1(e10,e11) = e10
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e11,e10) = e10
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e10,op1(e10,e10)) != e10
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e10,op1(e10,e11)) != e11
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e10,op1(e10,e12)) != e12
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e10,op1(e10,e13)) != e13
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e10,e11) = e10
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e11,e10) = e10
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e10,op1(e10,e10)) != e10
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e10,op1(e10,e11)) != e11
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e10,op1(e10,e12)) != e12
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e10,op1(e10,e13)) != e13
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e10,e11) = e10
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e11,e10) = e10
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e10,op1(e10,e10)) != e10
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e10,op1(e10,e11)) != e11
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e10,op1(e10,e12)) != e12
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e10,op1(e10,e13)) != e13
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e10,e11) = e10
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e11,e10) = e10
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e10,op1(e10,e10)) != e10
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e10,op1(e10,e11)) != e11
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e10,op1(e10,e12)) != e12
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e10,op1(e10,e13)) != e13
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])]) ).
cnf(c_0_99,plain,
op1(e10,e11) != op1(e11,e11),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_100,plain,
( op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e12,e10) != e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_23]),c_0_27]),c_0_59]),c_0_60]) ).
cnf(c_0_101,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_102,plain,
( epred2_0
| op1(e11,op1(e11,e12)) != e12
| ~ epred3_0 ),
inference(cn,[status(thm)],[c_0_80]) ).
cnf(c_0_103,plain,
( op1(e11,e12) = e12
| op1(e12,e10) != e12 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_104,plain,
( epred3_0
| op1(e11,op1(e11,e12)) != e12
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_83]) ).
fof(c_0_105,plain,
( ( op1(e12,e11) = e12
| op1(e12,e10) = e12
| epred4_0
| ~ epred5_0 )
& ( op1(e11,e12) = e12
| op1(e12,e10) = e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e12,e10) = e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e12,e10) = e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e12,e10) = e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e12,e10) = e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,e11) = e12
| op1(e10,e12) = e12
| epred4_0
| ~ epred5_0 )
& ( op1(e11,e12) = e12
| op1(e10,e12) = e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e10,e12) = e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e10,e12) = e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e10,e12) = e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e10,e12) = e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,e11) = e12
| op1(e12,op1(e12,e10)) != e10
| epred4_0
| ~ epred5_0 )
& ( op1(e11,e12) = e12
| op1(e12,op1(e12,e10)) != e10
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e12,op1(e12,e10)) != e10
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e12,op1(e12,e10)) != e10
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e12,op1(e12,e10)) != e10
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e12,op1(e12,e10)) != e10
| epred4_0
| ~ epred5_0 )
& ( op1(e12,e11) = e12
| op1(e12,op1(e12,e11)) != e11
| epred4_0
| ~ epred5_0 )
& ( op1(e11,e12) = e12
| op1(e12,op1(e12,e11)) != e11
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e12,op1(e12,e11)) != e11
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e12,op1(e12,e11)) != e11
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e12,op1(e12,e11)) != e11
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e12,op1(e12,e11)) != e11
| epred4_0
| ~ epred5_0 )
& ( op1(e12,e11) = e12
| op1(e12,op1(e12,e12)) != e12
| epred4_0
| ~ epred5_0 )
& ( op1(e11,e12) = e12
| op1(e12,op1(e12,e12)) != e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e12,op1(e12,e12)) != e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e12,op1(e12,e12)) != e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e12,op1(e12,e12)) != e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e12,op1(e12,e12)) != e12
| epred4_0
| ~ epred5_0 )
& ( op1(e12,e11) = e12
| op1(e12,op1(e12,e13)) != e13
| epred4_0
| ~ epred5_0 )
& ( op1(e11,e12) = e12
| op1(e12,op1(e12,e13)) != e13
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e12,op1(e12,e13)) != e13
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e12,op1(e12,e13)) != e13
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e12,op1(e12,e13)) != e13
| epred4_0
| ~ epred5_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e12,op1(e12,e13)) != e13
| epred4_0
| ~ epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])])]) ).
cnf(c_0_106,plain,
op1(e12,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_107,plain,
( op1(e13,e13) = e13
| epred7_0 ),
inference(sr,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_108,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_109,plain,
( epred6_0
| op1(e13,op1(e13,e13)) != e13 ),
inference(csr,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_110,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| epred5_0
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_111,plain,
( epred5_0
| op1(e12,e13) != e12
| ~ epred6_0 ),
inference(rw,[status(thm)],[c_0_89,c_0_23]) ).
cnf(c_0_112,plain,
( epred6_0
| op1(e13,op1(e13,e12)) != e12
| ~ epred7_0 ),
inference(cn,[status(thm)],[c_0_90]) ).
cnf(c_0_113,plain,
( epred7_0
| op1(e13,e10) != e12 ),
inference(rw,[status(thm)],[c_0_91,c_0_43]) ).
cnf(c_0_114,plain,
( epred1_0
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_115,plain,
( op1(e10,e10) = e10
| epred2_0
| op1(e11,e10) != e11
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_116,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_117,plain,
op1(e11,e13) != e11,
inference(rw,[status(thm)],[c_0_97,c_0_27]) ).
cnf(c_0_118,plain,
( op1(e10,op1(e10,e10)) != e10
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_119,plain,
( op1(e10,e10) = e10
| op1(e10,e11) != e10
| op1(e12,e10) != e12 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_120,plain,
( op1(e10,e13) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[c_0_101,c_0_93]) ).
cnf(c_0_121,plain,
( epred2_0
| op1(e12,e10) != e12
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_103]) ).
cnf(c_0_122,plain,
( epred3_0
| op1(e12,e10) != e12
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_103]),c_0_103]) ).
cnf(c_0_123,plain,
( epred4_0
| op1(e12,op1(e12,e11)) != e11
| op1(e12,op1(e12,e11)) != e11
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_124,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_125,plain,
op1(e12,e13) != e11,
inference(rw,[status(thm)],[c_0_106,c_0_27]) ).
cnf(c_0_126,plain,
( op1(e13,e11) = e13
| op1(e10,e13) = e13
| epred6_0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_127,plain,
epred7_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_27]),c_0_108]) ).
cnf(c_0_128,plain,
( epred6_0
| op1(e13,e11) != e13 ),
inference(rw,[status(thm)],[c_0_109,c_0_27]) ).
cnf(c_0_129,plain,
( epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_23]),c_0_28]),c_0_111]) ).
cnf(c_0_130,plain,
( epred6_0
| op1(e13,e10) != e12 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_43]),c_0_113]) ).
cnf(c_0_131,plain,
op1(e10,e10) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_132,plain,
( epred14_0
<=> ( ( op2(e20,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 ) ) ),
introduced(definition) ).
cnf(c_0_133,plain,
( op1(e10,e11) = e10
| op1(e10,e10) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_134,plain,
( op1(e10,e10) = e10
| epred1_0
| op1(e11,e10) != e11
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_135,plain,
( op1(e10,e10) = e10
| op1(e10,e11) != e10
| op1(e11,e10) != e11 ),
inference(spm,[status(thm)],[c_0_99,c_0_76]) ).
cnf(c_0_136,plain,
( op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(sr,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_137,plain,
( op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 ),
inference(cn,[status(thm)],[c_0_118]) ).
cnf(c_0_138,plain,
( op1(e10,e13) = e10
| op1(e10,e10) = e10
| op1(e12,e10) != e12 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_139,plain,
( epred2_0
| op1(e12,e10) != e12
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_140,plain,
( epred4_0
| op1(e12,op1(e12,e11)) != e11
| ~ epred5_0 ),
inference(cn,[status(thm)],[c_0_123]) ).
cnf(c_0_141,plain,
( op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_23]),c_0_108]),c_0_125]) ).
cnf(c_0_142,plain,
( op1(e10,e13) = e13
| epred6_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127])]),c_0_128]) ).
cnf(c_0_143,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_144,plain,
( op1(e11,e12) = e12
| op1(e12,e10) = e12
| epred4_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_145,plain,
( epred5_0
| op1(e13,e10) != e12 ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_146,plain,
( op1(e10,e12) != e12
| op1(e13,e11) != e12
| op1(e11,e12) != e11 ),
inference(spm,[status(thm)],[c_0_131,c_0_41]) ).
cnf(c_0_147,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_148,plain,
( epred11_0
<=> ( ( op2(e20,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ) ),
introduced(definition) ).
fof(c_0_149,plain,
( epred10_0
<=> ( ( op2(e20,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ) ),
introduced(definition) ).
fof(c_0_150,plain,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(fof_simplification,[status(thm)],[ax6]) ).
fof(c_0_151,plain,
( epred13_0
<=> ( ( op2(e20,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ) ),
introduced(definition) ).
fof(c_0_152,plain,
( ( op2(e20,e20) != e20
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e21) != e21
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e22) != e22
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e23) != e23
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( epred14_0
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 )
| ( op2(e23,e23) = e23
& op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax11]),c_0_132]) ).
cnf(c_0_153,plain,
op1(e10,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_154,plain,
( epred2_0
| op1(e11,op1(e11,e13)) != e13
| op1(e11,op1(e11,e13)) != e13
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_155,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_156,plain,
( epred3_0
| op1(e11,op1(e11,e13)) != e13
| op1(e11,op1(e11,e13)) != e13
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_157,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_158,plain,
( op1(e10,e10) = e10
| op1(e11,e10) != e11
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]) ).
cnf(c_0_159,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e12,e10) != e12 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_100]),c_0_60]),c_0_81]) ).
cnf(c_0_160,plain,
( op1(e10,e13) = e10
| op1(e12,e10) != e12
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_138]) ).
cnf(c_0_161,plain,
( epred1_0
| op1(e12,e10) != e12
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_139]) ).
cnf(c_0_162,plain,
( op1(e12,e10) = e11
| epred4_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_141]) ).
cnf(c_0_163,plain,
( op1(e10,e13) = e13
| epred5_0 ),
inference(spm,[status(thm)],[c_0_129,c_0_142]) ).
cnf(c_0_164,plain,
op1(e11,e12) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_165,plain,
( op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_27]),c_0_29]) ).
cnf(c_0_166,plain,
( op1(e11,e12) = e12
| epred4_0
| op1(e13,e10) != e12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_103]) ).
cnf(c_0_167,plain,
( op1(e13,e10) = e12
| op1(e10,e12) != e12
| op1(e11,e12) != e11 ),
inference(spm,[status(thm)],[c_0_146,c_0_51]) ).
cnf(c_0_168,plain,
( op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_23]),c_0_43]),c_0_28]),c_0_44]) ).
cnf(c_0_169,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_170,plain,
op1(e12,e11) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_171,plain,
( epred11_0
=> ( epred10_0
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_148]),c_0_149]) ).
fof(c_0_172,plain,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(fof_nnf,[status(thm)],[c_0_150]) ).
cnf(c_0_173,plain,
h4(e13) = op2(e23,e23),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_174,plain,
h4(e12) = e23,
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_175,plain,
e23 = op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax13]) ).
fof(c_0_176,plain,
( epred14_0
=> ( epred13_0
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_132]),c_0_151]) ).
fof(c_0_177,plain,
( ( op2(e20,e20) != e20
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e21) != e21
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e22) != e22
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e23) != e23
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| epred14_0 )
& ( op2(e23,op2(e23,e20)) != e20
| op2(e23,e22) = e23
| epred14_0 )
& ( op2(e23,op2(e23,e21)) != e21
| op2(e23,e22) = e23
| epred14_0 )
& ( op2(e23,op2(e23,e22)) != e22
| op2(e23,e22) = e23
| epred14_0 )
& ( op2(e23,op2(e23,e23)) != e23
| op2(e23,e22) = e23
| epred14_0 )
& ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| epred14_0 )
& ( op2(e23,op2(e23,e20)) != e20
| op2(e22,e23) = e23
| epred14_0 )
& ( op2(e23,op2(e23,e21)) != e21
| op2(e22,e23) = e23
| epred14_0 )
& ( op2(e23,op2(e23,e22)) != e22
| op2(e22,e23) = e23
| epred14_0 )
& ( op2(e23,op2(e23,e23)) != e23
| op2(e22,e23) = e23
| epred14_0 )
& ( op2(e23,e23) = e23
| op2(e23,op2(e23,e20)) != e20
| epred14_0 )
& ( op2(e23,op2(e23,e20)) != e20
| op2(e23,op2(e23,e20)) != e20
| epred14_0 )
& ( op2(e23,op2(e23,e21)) != e21
| op2(e23,op2(e23,e20)) != e20
| epred14_0 )
& ( op2(e23,op2(e23,e22)) != e22
| op2(e23,op2(e23,e20)) != e20
| epred14_0 )
& ( op2(e23,op2(e23,e23)) != e23
| op2(e23,op2(e23,e20)) != e20
| epred14_0 )
& ( op2(e23,e23) = e23
| op2(e23,op2(e23,e21)) != e21
| epred14_0 )
& ( op2(e23,op2(e23,e20)) != e20
| op2(e23,op2(e23,e21)) != e21
| epred14_0 )
& ( op2(e23,op2(e23,e21)) != e21
| op2(e23,op2(e23,e21)) != e21
| epred14_0 )
& ( op2(e23,op2(e23,e22)) != e22
| op2(e23,op2(e23,e21)) != e21
| epred14_0 )
& ( op2(e23,op2(e23,e23)) != e23
| op2(e23,op2(e23,e21)) != e21
| epred14_0 )
& ( op2(e23,e23) = e23
| op2(e23,op2(e23,e22)) != e22
| epred14_0 )
& ( op2(e23,op2(e23,e20)) != e20
| op2(e23,op2(e23,e22)) != e22
| epred14_0 )
& ( op2(e23,op2(e23,e21)) != e21
| op2(e23,op2(e23,e22)) != e22
| epred14_0 )
& ( op2(e23,op2(e23,e22)) != e22
| op2(e23,op2(e23,e22)) != e22
| epred14_0 )
& ( op2(e23,op2(e23,e23)) != e23
| op2(e23,op2(e23,e22)) != e22
| epred14_0 )
& ( op2(e23,e23) = e23
| op2(e23,op2(e23,e23)) != e23
| epred14_0 )
& ( op2(e23,op2(e23,e20)) != e20
| op2(e23,op2(e23,e23)) != e23
| epred14_0 )
& ( op2(e23,op2(e23,e21)) != e21
| op2(e23,op2(e23,e23)) != e23
| epred14_0 )
& ( op2(e23,op2(e23,e22)) != e22
| op2(e23,op2(e23,e23)) != e23
| epred14_0 )
& ( op2(e23,op2(e23,e23)) != e23
| op2(e23,op2(e23,e23)) != e23
| epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_152])]) ).
cnf(c_0_178,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_179,plain,
op1(e10,e12) != e13,
inference(rw,[status(thm)],[c_0_153,c_0_23]) ).
cnf(c_0_180,plain,
( epred2_0
| op1(e11,op1(e11,e13)) != e13
| ~ epred3_0 ),
inference(cn,[status(thm)],[c_0_154]) ).
cnf(c_0_181,plain,
( op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_27]),c_0_86]),c_0_108]) ).
cnf(c_0_182,plain,
( epred3_0
| op1(e11,op1(e11,e13)) != e13
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_156]) ).
cnf(c_0_183,plain,
op1(e11,e11) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_184,plain,
( op1(e11,e13) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(sr,[status(thm)],[c_0_157,c_0_65]) ).
cnf(c_0_185,plain,
op1(e10,e10) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_186,plain,
( op1(e10,e10) = e10
| op1(e12,e10) != e12
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_187,plain,
( op1(e10,e13) = e10
| op1(e12,e10) != e12
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_188,plain,
( op1(e10,e13) = e13
| op1(e12,e10) = e11
| epred4_0 ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_189,plain,
( op1(e12,e13) = e12
| op1(e10,e13) = e12
| op1(e11,e12) != e12 ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_190,plain,
( op1(e11,e12) = e12
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_82]),c_0_168]) ).
cnf(c_0_191,plain,
( op1(e12,e13) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_23]),c_0_28]) ).
cnf(c_0_192,plain,
( epred4_0
| op1(e12,op1(e12,e12)) != e12
| op1(e12,op1(e12,e12)) != e12
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_193,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_194,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_195,plain,
op1(e12,e11) != e13,
inference(rw,[status(thm)],[c_0_170,c_0_23]) ).
fof(c_0_196,plain,
( epred8_0
<=> ( ( op2(e20,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ) ),
introduced(definition) ).
fof(c_0_197,plain,
( ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e21) = e21
| op2(e21,e22) = e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e20)) != e20
| op2(e21,e22) = e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e21)) != e21
| op2(e21,e22) = e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e22)) != e22
| op2(e21,e22) = e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e23)) != e23
| op2(e21,e22) = e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,e23) = e21
| op2(e22,e21) = e21
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e20)) != e20
| op2(e22,e21) = e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e21)) != e21
| op2(e22,e21) = e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e22)) != e22
| op2(e22,e21) = e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e23)) != e23
| op2(e22,e21) = e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,e23) = e21
| op2(e21,op2(e21,e20)) != e20
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e21) = e21
| op2(e21,op2(e21,e20)) != e20
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e20)) != e20
| op2(e21,op2(e21,e20)) != e20
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e21)) != e21
| op2(e21,op2(e21,e20)) != e20
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e22)) != e22
| op2(e21,op2(e21,e20)) != e20
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e23)) != e23
| op2(e21,op2(e21,e20)) != e20
| epred10_0
| ~ epred11_0 )
& ( op2(e21,e23) = e21
| op2(e21,op2(e21,e21)) != e21
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e21) = e21
| op2(e21,op2(e21,e21)) != e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e20)) != e20
| op2(e21,op2(e21,e21)) != e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e21)) != e21
| op2(e21,op2(e21,e21)) != e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e22)) != e22
| op2(e21,op2(e21,e21)) != e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e23)) != e23
| op2(e21,op2(e21,e21)) != e21
| epred10_0
| ~ epred11_0 )
& ( op2(e21,e23) = e21
| op2(e21,op2(e21,e22)) != e22
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e21) = e21
| op2(e21,op2(e21,e22)) != e22
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e20)) != e20
| op2(e21,op2(e21,e22)) != e22
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e21)) != e21
| op2(e21,op2(e21,e22)) != e22
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e22)) != e22
| op2(e21,op2(e21,e22)) != e22
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e23)) != e23
| op2(e21,op2(e21,e22)) != e22
| epred10_0
| ~ epred11_0 )
& ( op2(e21,e23) = e21
| op2(e21,op2(e21,e23)) != e23
| epred10_0
| ~ epred11_0 )
& ( op2(e23,e21) = e21
| op2(e21,op2(e21,e23)) != e23
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e20)) != e20
| op2(e21,op2(e21,e23)) != e23
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e21)) != e21
| op2(e21,op2(e21,e23)) != e23
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e22)) != e22
| op2(e21,op2(e21,e23)) != e23
| epred10_0
| ~ epred11_0 )
& ( op2(e21,op2(e21,e23)) != e23
| op2(e21,op2(e21,e23)) != e23
| epred10_0
| ~ epred11_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_171])])]) ).
cnf(c_0_198,plain,
op2(e23,e21) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_199,plain,
op2(h4(e12),h4(e12)) = h4(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_174]),c_0_174]) ).
cnf(c_0_200,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_201,plain,
op2(e22,e22) = h4(e12),
inference(rw,[status(thm)],[c_0_175,c_0_174]) ).
fof(c_0_202,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(fof_simplification,[status(thm)],[ax8]) ).
fof(c_0_203,plain,
( ( op2(e23,e21) = e23
| op2(e23,e20) = e23
| epred13_0
| ~ epred14_0 )
& ( op2(e21,e23) = e23
| op2(e23,e20) = e23
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e20)) != e20
| op2(e23,e20) = e23
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e21)) != e21
| op2(e23,e20) = e23
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e22)) != e22
| op2(e23,e20) = e23
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e23)) != e23
| op2(e23,e20) = e23
| epred13_0
| ~ epred14_0 )
& ( op2(e23,e21) = e23
| op2(e20,e23) = e23
| epred13_0
| ~ epred14_0 )
& ( op2(e21,e23) = e23
| op2(e20,e23) = e23
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e20)) != e20
| op2(e20,e23) = e23
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e21)) != e21
| op2(e20,e23) = e23
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e22)) != e22
| op2(e20,e23) = e23
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e23)) != e23
| op2(e20,e23) = e23
| epred13_0
| ~ epred14_0 )
& ( op2(e23,e21) = e23
| op2(e23,op2(e23,e20)) != e20
| epred13_0
| ~ epred14_0 )
& ( op2(e21,e23) = e23
| op2(e23,op2(e23,e20)) != e20
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e20)) != e20
| op2(e23,op2(e23,e20)) != e20
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e21)) != e21
| op2(e23,op2(e23,e20)) != e20
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e22)) != e22
| op2(e23,op2(e23,e20)) != e20
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e23)) != e23
| op2(e23,op2(e23,e20)) != e20
| epred13_0
| ~ epred14_0 )
& ( op2(e23,e21) = e23
| op2(e23,op2(e23,e21)) != e21
| epred13_0
| ~ epred14_0 )
& ( op2(e21,e23) = e23
| op2(e23,op2(e23,e21)) != e21
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e20)) != e20
| op2(e23,op2(e23,e21)) != e21
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e21)) != e21
| op2(e23,op2(e23,e21)) != e21
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e22)) != e22
| op2(e23,op2(e23,e21)) != e21
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e23)) != e23
| op2(e23,op2(e23,e21)) != e21
| epred13_0
| ~ epred14_0 )
& ( op2(e23,e21) = e23
| op2(e23,op2(e23,e22)) != e22
| epred13_0
| ~ epred14_0 )
& ( op2(e21,e23) = e23
| op2(e23,op2(e23,e22)) != e22
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e20)) != e20
| op2(e23,op2(e23,e22)) != e22
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e21)) != e21
| op2(e23,op2(e23,e22)) != e22
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e22)) != e22
| op2(e23,op2(e23,e22)) != e22
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e23)) != e23
| op2(e23,op2(e23,e22)) != e22
| epred13_0
| ~ epred14_0 )
& ( op2(e23,e21) = e23
| op2(e23,op2(e23,e23)) != e23
| epred13_0
| ~ epred14_0 )
& ( op2(e21,e23) = e23
| op2(e23,op2(e23,e23)) != e23
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e20)) != e20
| op2(e23,op2(e23,e23)) != e23
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e21)) != e21
| op2(e23,op2(e23,e23)) != e23
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e22)) != e22
| op2(e23,op2(e23,e23)) != e23
| epred13_0
| ~ epred14_0 )
& ( op2(e23,op2(e23,e23)) != e23
| op2(e23,op2(e23,e23)) != e23
| epred13_0
| ~ epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_176])])]) ).
cnf(c_0_204,plain,
( epred14_0
| op2(e23,op2(e23,e23)) != e23
| op2(e23,op2(e23,e23)) != e23 ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
fof(c_0_205,plain,
( epred12_0
<=> ( ( op2(e20,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ) ),
introduced(definition) ).
cnf(c_0_206,plain,
op1(e10,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_207,plain,
( op1(e10,e13) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(sr,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_208,plain,
( op1(e10,e13) = e13
| epred2_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_181]) ).
cnf(c_0_209,plain,
( op1(e10,e13) = e13
| epred3_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_181]),c_0_181]) ).
cnf(c_0_210,plain,
op1(e10,e10) != op1(e11,e10),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_211,plain,
( op1(e11,e13) = e10
| op1(e11,e10) = e10
| op1(e12,e11) != e10 ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_212,plain,
( epred4_0
| op1(e12,op1(e12,e10)) != e10
| op1(e12,op1(e12,e10)) != e10
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_213,plain,
( op1(e12,e10) != e12
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]) ).
cnf(c_0_214,plain,
( op1(e12,e13) = e12
| op1(e12,e10) = e11
| epred4_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_28]),c_0_190]) ).
cnf(c_0_215,plain,
( op1(e12,e13) = e12
| op1(e12,e10) = e12
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_191]),c_0_29]) ).
cnf(c_0_216,plain,
( epred4_0
| op1(e12,op1(e12,e12)) != e12
| ~ epred5_0 ),
inference(cn,[status(thm)],[c_0_192]) ).
cnf(c_0_217,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_218,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10
| op1(e13,e10) != e13 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_219,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_220,plain,
op1(e11,e13) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_221,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e10 ),
inference(sr,[status(thm)],[c_0_193,c_0_117]) ).
cnf(c_0_222,plain,
op1(e12,e10) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_223,plain,
( op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 ),
inference(sr,[status(thm)],[c_0_194,c_0_195]) ).
fof(c_0_224,plain,
( epred9_0
<=> ( ( op2(e20,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ) ),
introduced(definition) ).
fof(c_0_225,plain,
( epred8_0
=> ( ( op2(e20,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ) ),
inference(split_equiv,[status(thm)],[c_0_196]) ).
cnf(c_0_226,plain,
op2(e21,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_227,plain,
e20 = op2(op2(e22,e22),e22),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_228,plain,
( op2(e23,e21) = e21
| op2(e21,e22) = e21
| epred10_0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_229,plain,
op2(h4(e12),e21) != h4(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_174]),c_0_174]),c_0_199]),c_0_174]) ).
cnf(c_0_230,plain,
h4(e13) = e21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_201]),c_0_201]),c_0_199]) ).
cnf(c_0_231,plain,
op2(e20,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
fof(c_0_232,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(fof_nnf,[status(thm)],[c_0_202]) ).
cnf(c_0_233,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_234,plain,
op2(e22,e22) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_235,plain,
( epred13_0
| op2(e23,op2(e23,e23)) != e23
| op2(e23,op2(e23,e23)) != e23
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_203]) ).
cnf(c_0_236,plain,
( epred14_0
| op2(e23,op2(e23,e23)) != e23 ),
inference(cn,[status(thm)],[c_0_204]) ).
fof(c_0_237,plain,
( epred13_0
=> ( epred12_0
| ( op2(e22,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_151]),c_0_205]) ).
cnf(c_0_238,plain,
( op1(e10,e13) = e13
| op1(e10,e10) = e13
| op1(e13,e11) != e13 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_239,plain,
( op1(e10,e13) = e13
| epred2_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_240,plain,
( op1(e11,e13) = e10
| op1(e10,e10) != e10
| op1(e12,e11) != e10 ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_241,plain,
op1(e10,e11) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_242,plain,
( epred4_0
| op1(e12,op1(e12,e10)) != e10
| ~ epred5_0 ),
inference(cn,[status(thm)],[c_0_212]) ).
cnf(c_0_243,plain,
( op1(e12,e10) = e11
| op1(e12,e13) = e12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215]) ).
cnf(c_0_244,plain,
( epred4_0
| op1(e12,e13) != e12
| ~ epred5_0 ),
inference(rw,[status(thm)],[c_0_216,c_0_23]) ).
cnf(c_0_245,plain,
( op1(e13,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(sr,[status(thm)],[c_0_217,c_0_195]) ).
cnf(c_0_246,plain,
( op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e13,e10) != e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_23]),c_0_27]),c_0_59]),c_0_60]) ).
cnf(c_0_247,plain,
( op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_43]),c_0_27]),c_0_59]),c_0_108]) ).
cnf(c_0_248,plain,
op1(e10,e13) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_249,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e12,e13) != e10 ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_250,plain,
op1(e12,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_251,plain,
( op1(e12,e11) = e12
| op1(e12,e11) = e10
| op1(e12,e10) != e11 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
fof(c_0_252,plain,
( epred9_0
=> ( epred8_0
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_224]),c_0_196]) ).
fof(c_0_253,plain,
( ( op2(e20,e21) = e20
| op2(e20,e20) = e20
| ~ epred8_0 )
& ( op2(e21,e20) = e20
| op2(e20,e20) = e20
| ~ epred8_0 )
& ( op2(e20,op2(e20,e20)) != e20
| op2(e20,e20) = e20
| ~ epred8_0 )
& ( op2(e20,op2(e20,e21)) != e21
| op2(e20,e20) = e20
| ~ epred8_0 )
& ( op2(e20,op2(e20,e22)) != e22
| op2(e20,e20) = e20
| ~ epred8_0 )
& ( op2(e20,op2(e20,e23)) != e23
| op2(e20,e20) = e20
| ~ epred8_0 )
& ( op2(e20,e21) = e20
| op2(e20,op2(e20,e20)) != e20
| ~ epred8_0 )
& ( op2(e21,e20) = e20
| op2(e20,op2(e20,e20)) != e20
| ~ epred8_0 )
& ( op2(e20,op2(e20,e20)) != e20
| op2(e20,op2(e20,e20)) != e20
| ~ epred8_0 )
& ( op2(e20,op2(e20,e21)) != e21
| op2(e20,op2(e20,e20)) != e20
| ~ epred8_0 )
& ( op2(e20,op2(e20,e22)) != e22
| op2(e20,op2(e20,e20)) != e20
| ~ epred8_0 )
& ( op2(e20,op2(e20,e23)) != e23
| op2(e20,op2(e20,e20)) != e20
| ~ epred8_0 )
& ( op2(e20,e21) = e20
| op2(e20,op2(e20,e21)) != e21
| ~ epred8_0 )
& ( op2(e21,e20) = e20
| op2(e20,op2(e20,e21)) != e21
| ~ epred8_0 )
& ( op2(e20,op2(e20,e20)) != e20
| op2(e20,op2(e20,e21)) != e21
| ~ epred8_0 )
& ( op2(e20,op2(e20,e21)) != e21
| op2(e20,op2(e20,e21)) != e21
| ~ epred8_0 )
& ( op2(e20,op2(e20,e22)) != e22
| op2(e20,op2(e20,e21)) != e21
| ~ epred8_0 )
& ( op2(e20,op2(e20,e23)) != e23
| op2(e20,op2(e20,e21)) != e21
| ~ epred8_0 )
& ( op2(e20,e21) = e20
| op2(e20,op2(e20,e22)) != e22
| ~ epred8_0 )
& ( op2(e21,e20) = e20
| op2(e20,op2(e20,e22)) != e22
| ~ epred8_0 )
& ( op2(e20,op2(e20,e20)) != e20
| op2(e20,op2(e20,e22)) != e22
| ~ epred8_0 )
& ( op2(e20,op2(e20,e21)) != e21
| op2(e20,op2(e20,e22)) != e22
| ~ epred8_0 )
& ( op2(e20,op2(e20,e22)) != e22
| op2(e20,op2(e20,e22)) != e22
| ~ epred8_0 )
& ( op2(e20,op2(e20,e23)) != e23
| op2(e20,op2(e20,e22)) != e22
| ~ epred8_0 )
& ( op2(e20,e21) = e20
| op2(e20,op2(e20,e23)) != e23
| ~ epred8_0 )
& ( op2(e21,e20) = e20
| op2(e20,op2(e20,e23)) != e23
| ~ epred8_0 )
& ( op2(e20,op2(e20,e20)) != e20
| op2(e20,op2(e20,e23)) != e23
| ~ epred8_0 )
& ( op2(e20,op2(e20,e21)) != e21
| op2(e20,op2(e20,e23)) != e23
| ~ epred8_0 )
& ( op2(e20,op2(e20,e22)) != e22
| op2(e20,op2(e20,e23)) != e23
| ~ epred8_0 )
& ( op2(e20,op2(e20,e23)) != e23
| op2(e20,op2(e20,e23)) != e23
| ~ epred8_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_225])])]) ).
fof(c_0_254,plain,
( epred10_0
=> ( epred9_0
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_149]),c_0_224]) ).
cnf(c_0_255,plain,
op2(h4(e12),e22) != op2(e21,e22),
inference(rw,[status(thm)],[c_0_226,c_0_174]) ).
cnf(c_0_256,plain,
op2(h4(e12),e22) = e20,
inference(rw,[status(thm)],[c_0_227,c_0_201]) ).
cnf(c_0_257,plain,
op2(e21,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_258,plain,
( op2(h4(e12),e21) = e21
| op2(e21,e22) = e21
| epred10_0
| ~ epred11_0 ),
inference(rw,[status(thm)],[c_0_228,c_0_174]) ).
cnf(c_0_259,plain,
op2(h4(e12),e21) != e21,
inference(rw,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_260,plain,
op2(h4(e12),e22) != op2(e20,e22),
inference(rw,[status(thm)],[c_0_231,c_0_174]) ).
cnf(c_0_261,plain,
op2(e20,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_262,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_263,plain,
( epred10_0
| op2(e21,op2(e21,e22)) != e22
| op2(e21,op2(e21,e22)) != e22
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_264,plain,
( op2(e22,h4(e12)) = h4(e12)
| h4(e13) = h4(e12)
| epred14_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_199]),c_0_174]) ).
cnf(c_0_265,plain,
op2(e22,h4(e12)) != h4(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_174]),c_0_201]) ).
cnf(c_0_266,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_267,plain,
( epred13_0
| op2(e23,op2(e23,e23)) != e23
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_235]) ).
cnf(c_0_268,plain,
( epred14_0
| op2(h4(e12),h4(e13)) != h4(e12) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_174]),c_0_174]),c_0_174]),c_0_199]),c_0_174]) ).
cnf(c_0_269,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(split_conjunct,[status(thm)],[ax17]) ).
fof(c_0_270,plain,
( epred12_0
=> ( epred11_0
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_205]),c_0_148]) ).
cnf(c_0_271,plain,
op2(e22,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
fof(c_0_272,plain,
( ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| epred12_0
| ~ epred13_0 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e22,e22) = e22
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e22,e22) = e22
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e22,e22) = e22
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e22,e22) = e22
| epred12_0
| ~ epred13_0 )
& ( op2(e22,e23) = e22
| op2(e22,op2(e22,e20)) != e20
| epred12_0
| ~ epred13_0 )
& ( op2(e23,e22) = e22
| op2(e22,op2(e22,e20)) != e20
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e22,op2(e22,e20)) != e20
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e22,op2(e22,e20)) != e20
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e22,op2(e22,e20)) != e20
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e22,op2(e22,e20)) != e20
| epred12_0
| ~ epred13_0 )
& ( op2(e22,e23) = e22
| op2(e22,op2(e22,e21)) != e21
| epred12_0
| ~ epred13_0 )
& ( op2(e23,e22) = e22
| op2(e22,op2(e22,e21)) != e21
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e22,op2(e22,e21)) != e21
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e22,op2(e22,e21)) != e21
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e22,op2(e22,e21)) != e21
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e22,op2(e22,e21)) != e21
| epred12_0
| ~ epred13_0 )
& ( op2(e22,e23) = e22
| op2(e22,op2(e22,e22)) != e22
| epred12_0
| ~ epred13_0 )
& ( op2(e23,e22) = e22
| op2(e22,op2(e22,e22)) != e22
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e22,op2(e22,e22)) != e22
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e22,op2(e22,e22)) != e22
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e22,op2(e22,e22)) != e22
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e22,op2(e22,e22)) != e22
| epred12_0
| ~ epred13_0 )
& ( op2(e22,e23) = e22
| op2(e22,op2(e22,e23)) != e23
| epred12_0
| ~ epred13_0 )
& ( op2(e23,e22) = e22
| op2(e22,op2(e22,e23)) != e23
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e22,op2(e22,e23)) != e23
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e22,op2(e22,e23)) != e23
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e22,op2(e22,e23)) != e23
| epred12_0
| ~ epred13_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e22,op2(e22,e23)) != e23
| epred12_0
| ~ epred13_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_237])])]) ).
cnf(c_0_273,plain,
( op1(e10,e13) = e13
| op1(e10,e13) != e10
| op1(e13,e11) != e13
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_137,c_0_238]) ).
cnf(c_0_274,plain,
( op1(e10,e13) = e13
| epred1_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_239]) ).
cnf(c_0_275,plain,
( op1(e10,e13) = e13
| op1(e10,e10) != e10
| op1(e12,e11) != e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_240]),c_0_59]) ).
cnf(c_0_276,plain,
( op1(e10,e13) = e10
| op1(e10,e10) = e10
| op1(e12,e11) != e10 ),
inference(spm,[status(thm)],[c_0_241,c_0_120]) ).
cnf(c_0_277,plain,
( epred4_0
| op1(e12,e11) != e10
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]) ).
cnf(c_0_278,plain,
( epred5_0
| op1(e13,e11) != e13 ),
inference(spm,[status(thm)],[c_0_129,c_0_128]) ).
cnf(c_0_279,plain,
op1(e10,e11) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_280,plain,
( op1(e10,e10) = e10
| op1(e13,e11) = e13
| op1(e10,e11) = e13 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_59]),c_0_247]) ).
cnf(c_0_281,plain,
( op1(e11,e13) = e12
| op1(e10,e13) != e13
| op1(e12,e13) != e10 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_282,plain,
( op1(e13,e10) = e12
| op1(e12,e11) != e12 ),
inference(spm,[status(thm)],[c_0_250,c_0_51]) ).
cnf(c_0_283,plain,
op1(e12,e11) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_284,plain,
( op1(e12,e11) = e12
| epred4_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_251]),c_0_162]) ).
cnf(c_0_285,plain,
( epred14_0
| op2(e23,op2(e23,e22)) != e22
| op2(e23,op2(e23,e22)) != e22 ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
fof(c_0_286,plain,
( ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e23,e20) = e20
| op2(e20,e22) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e20)) != e20
| op2(e20,e22) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e21)) != e21
| op2(e20,e22) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e22)) != e22
| op2(e20,e22) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e23)) != e23
| op2(e20,e22) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,e23) = e20
| op2(e22,e20) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e20)) != e20
| op2(e22,e20) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e21)) != e21
| op2(e22,e20) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e22)) != e22
| op2(e22,e20) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e23)) != e23
| op2(e22,e20) = e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,e23) = e20
| op2(e20,op2(e20,e20)) != e20
| epred8_0
| ~ epred9_0 )
& ( op2(e23,e20) = e20
| op2(e20,op2(e20,e20)) != e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e20)) != e20
| op2(e20,op2(e20,e20)) != e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e21)) != e21
| op2(e20,op2(e20,e20)) != e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e22)) != e22
| op2(e20,op2(e20,e20)) != e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e23)) != e23
| op2(e20,op2(e20,e20)) != e20
| epred8_0
| ~ epred9_0 )
& ( op2(e20,e23) = e20
| op2(e20,op2(e20,e21)) != e21
| epred8_0
| ~ epred9_0 )
& ( op2(e23,e20) = e20
| op2(e20,op2(e20,e21)) != e21
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e20)) != e20
| op2(e20,op2(e20,e21)) != e21
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e21)) != e21
| op2(e20,op2(e20,e21)) != e21
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e22)) != e22
| op2(e20,op2(e20,e21)) != e21
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e23)) != e23
| op2(e20,op2(e20,e21)) != e21
| epred8_0
| ~ epred9_0 )
& ( op2(e20,e23) = e20
| op2(e20,op2(e20,e22)) != e22
| epred8_0
| ~ epred9_0 )
& ( op2(e23,e20) = e20
| op2(e20,op2(e20,e22)) != e22
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e20)) != e20
| op2(e20,op2(e20,e22)) != e22
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e21)) != e21
| op2(e20,op2(e20,e22)) != e22
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e22)) != e22
| op2(e20,op2(e20,e22)) != e22
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e23)) != e23
| op2(e20,op2(e20,e22)) != e22
| epred8_0
| ~ epred9_0 )
& ( op2(e20,e23) = e20
| op2(e20,op2(e20,e23)) != e23
| epred8_0
| ~ epred9_0 )
& ( op2(e23,e20) = e20
| op2(e20,op2(e20,e23)) != e23
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e20)) != e20
| op2(e20,op2(e20,e23)) != e23
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e21)) != e21
| op2(e20,op2(e20,e23)) != e23
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e22)) != e22
| op2(e20,op2(e20,e23)) != e23
| epred8_0
| ~ epred9_0 )
& ( op2(e20,op2(e20,e23)) != e23
| op2(e20,op2(e20,e23)) != e23
| epred8_0
| ~ epred9_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_252])])]) ).
cnf(c_0_287,plain,
( op2(e20,op2(e20,e23)) != e23
| op2(e20,op2(e20,e23)) != e23
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
fof(c_0_288,plain,
( ( op2(e21,e21) = e21
| op2(e21,e20) = e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e20)) != e20
| op2(e21,e20) = e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e21)) != e21
| op2(e21,e20) = e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e22)) != e22
| op2(e21,e20) = e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e23)) != e23
| op2(e21,e20) = e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,e21) = e21
| op2(e20,e21) = e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e20)) != e20
| op2(e20,e21) = e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e21)) != e21
| op2(e20,e21) = e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e22)) != e22
| op2(e20,e21) = e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e23)) != e23
| op2(e20,e21) = e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,e21) = e21
| op2(e21,op2(e21,e20)) != e20
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e20)) != e20
| op2(e21,op2(e21,e20)) != e20
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e21)) != e21
| op2(e21,op2(e21,e20)) != e20
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e22)) != e22
| op2(e21,op2(e21,e20)) != e20
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e23)) != e23
| op2(e21,op2(e21,e20)) != e20
| epred9_0
| ~ epred10_0 )
& ( op2(e21,e21) = e21
| op2(e21,op2(e21,e21)) != e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e20)) != e20
| op2(e21,op2(e21,e21)) != e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e21)) != e21
| op2(e21,op2(e21,e21)) != e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e22)) != e22
| op2(e21,op2(e21,e21)) != e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e23)) != e23
| op2(e21,op2(e21,e21)) != e21
| epred9_0
| ~ epred10_0 )
& ( op2(e21,e21) = e21
| op2(e21,op2(e21,e22)) != e22
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e20)) != e20
| op2(e21,op2(e21,e22)) != e22
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e21)) != e21
| op2(e21,op2(e21,e22)) != e22
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e22)) != e22
| op2(e21,op2(e21,e22)) != e22
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e23)) != e23
| op2(e21,op2(e21,e22)) != e22
| epred9_0
| ~ epred10_0 )
& ( op2(e21,e21) = e21
| op2(e21,op2(e21,e23)) != e23
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e20)) != e20
| op2(e21,op2(e21,e23)) != e23
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e21)) != e21
| op2(e21,op2(e21,e23)) != e23
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e22)) != e22
| op2(e21,op2(e21,e23)) != e23
| epred9_0
| ~ epred10_0 )
& ( op2(e21,op2(e21,e23)) != e23
| op2(e21,op2(e21,e23)) != e23
| epred9_0
| ~ epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_254])])]) ).
cnf(c_0_289,plain,
op2(e21,e21) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_290,plain,
h2(e13) = op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax15]) ).
cnf(c_0_291,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_292,plain,
op2(e21,e22) != e20,
inference(rw,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_293,plain,
op2(e21,e22) != h4(e12),
inference(rw,[status(thm)],[c_0_257,c_0_201]) ).
cnf(c_0_294,plain,
op2(e20,e22) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_295,plain,
( op2(e21,e22) = e21
| epred10_0
| ~ epred11_0 ),
inference(sr,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_296,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_297,plain,
op2(e20,e22) != e20,
inference(rw,[status(thm)],[c_0_260,c_0_256]) ).
cnf(c_0_298,plain,
op2(e20,e22) != h4(e12),
inference(rw,[status(thm)],[c_0_261,c_0_201]) ).
cnf(c_0_299,plain,
( op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22
| op2(e21,e22) != e21 ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_300,plain,
h1(e13) = op2(e20,e20),
inference(split_conjunct,[status(thm)],[ax14]) ).
cnf(c_0_301,plain,
h4(e12) != e22,
inference(rw,[status(thm)],[c_0_262,c_0_174]) ).
cnf(c_0_302,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_303,plain,
( epred10_0
| op2(e21,op2(e21,e22)) != e22
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_263]) ).
cnf(c_0_304,plain,
( op2(e23,e21) = e23
| op2(e23,e20) = e23
| epred13_0
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_203]) ).
cnf(c_0_305,plain,
( h4(e13) = h4(e12)
| epred14_0 ),
inference(sr,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_306,plain,
h4(e12) != e21,
inference(rw,[status(thm)],[c_0_266,c_0_174]) ).
cnf(c_0_307,plain,
( epred13_0
| op2(h4(e12),h4(e13)) != h4(e12) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_174]),c_0_174]),c_0_174]),c_0_199]),c_0_174]),c_0_268]) ).
cnf(c_0_308,plain,
op2(e20,e23) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_309,plain,
op2(h4(e13),h4(e12)) = h4(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_174]),c_0_174]),c_0_199]),c_0_174]) ).
cnf(c_0_310,plain,
( op2(e23,e21) = e23
| op2(e20,e23) = e23
| epred13_0
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_203]) ).
fof(c_0_311,plain,
( ( op2(e22,e21) = e22
| op2(e22,e20) = e22
| epred11_0
| ~ epred12_0 )
& ( op2(e21,e22) = e22
| op2(e22,e20) = e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e22,e20) = e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e22,e20) = e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e22,e20) = e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e22,e20) = e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,e21) = e22
| op2(e20,e22) = e22
| epred11_0
| ~ epred12_0 )
& ( op2(e21,e22) = e22
| op2(e20,e22) = e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e20,e22) = e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e20,e22) = e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e20,e22) = e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e20,e22) = e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,e21) = e22
| op2(e22,op2(e22,e20)) != e20
| epred11_0
| ~ epred12_0 )
& ( op2(e21,e22) = e22
| op2(e22,op2(e22,e20)) != e20
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e22,op2(e22,e20)) != e20
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e22,op2(e22,e20)) != e20
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e22,op2(e22,e20)) != e20
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e22,op2(e22,e20)) != e20
| epred11_0
| ~ epred12_0 )
& ( op2(e22,e21) = e22
| op2(e22,op2(e22,e21)) != e21
| epred11_0
| ~ epred12_0 )
& ( op2(e21,e22) = e22
| op2(e22,op2(e22,e21)) != e21
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e22,op2(e22,e21)) != e21
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e22,op2(e22,e21)) != e21
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e22,op2(e22,e21)) != e21
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e22,op2(e22,e21)) != e21
| epred11_0
| ~ epred12_0 )
& ( op2(e22,e21) = e22
| op2(e22,op2(e22,e22)) != e22
| epred11_0
| ~ epred12_0 )
& ( op2(e21,e22) = e22
| op2(e22,op2(e22,e22)) != e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e22,op2(e22,e22)) != e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e22,op2(e22,e22)) != e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e22,op2(e22,e22)) != e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e22,op2(e22,e22)) != e22
| epred11_0
| ~ epred12_0 )
& ( op2(e22,e21) = e22
| op2(e22,op2(e22,e23)) != e23
| epred11_0
| ~ epred12_0 )
& ( op2(e21,e22) = e22
| op2(e22,op2(e22,e23)) != e23
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e22,op2(e22,e23)) != e23
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e22,op2(e22,e23)) != e23
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e22,op2(e22,e23)) != e23
| epred11_0
| ~ epred12_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e22,op2(e22,e23)) != e23
| epred11_0
| ~ epred12_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_270])])]) ).
cnf(c_0_312,plain,
op2(e22,h4(e12)) != h4(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_174]),c_0_174]),c_0_199]),c_0_174]) ).
cnf(c_0_313,plain,
( epred12_0
| op2(e22,op2(e22,e22)) != e22
| op2(e22,op2(e22,e22)) != e22
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_272]) ).
cnf(c_0_314,plain,
( op1(e10,op1(e10,e13)) != e13
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_315,plain,
( op1(e10,e13) = e13
| op1(e10,e13) != e10
| op1(e13,e11) != e13
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_316,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e13
| op1(e12,e11) != e10 ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_317,plain,
( epred4_0
| op1(e12,e11) != e10
| op1(e13,e11) != e13 ),
inference(spm,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_318,plain,
( op1(e13,e11) = e13
| op1(e10,e10) = e10
| op1(e10,e13) != e13 ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_319,plain,
( op1(e10,e12) = e12
| epred2_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_168]),c_0_168]) ).
cnf(c_0_320,plain,
( op1(e10,e12) = e12
| epred3_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_168]),c_0_168]) ).
cnf(c_0_321,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_322,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_323,plain,
op1(e10,e12) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_324,plain,
op1(e10,e13) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_325,plain,
( op1(e11,e12) != e12
| op1(e10,e13) != e13
| op1(e12,e13) != e10 ),
inference(spm,[status(thm)],[c_0_164,c_0_281]) ).
cnf(c_0_326,plain,
( op1(e12,e10) != e12
| op1(e12,e11) != e12 ),
inference(spm,[status(thm)],[c_0_62,c_0_282]) ).
cnf(c_0_327,plain,
( op1(e12,e11) = e12
| op1(e12,e13) != e10
| op1(e12,e10) != e11 ),
inference(spm,[status(thm)],[c_0_283,c_0_251]) ).
cnf(c_0_328,plain,
op1(e13,e11) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_329,plain,
op1(e13,e11) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_330,plain,
( op1(e10,e13) = e13
| op1(e12,e11) = e12
| epred4_0 ),
inference(spm,[status(thm)],[c_0_284,c_0_163]) ).
cnf(c_0_331,plain,
( epred14_0
| op2(e23,op2(e23,e22)) != e22 ),
inference(cn,[status(thm)],[c_0_285]) ).
cnf(c_0_332,plain,
( epred8_0
| op2(e20,op2(e20,e23)) != e23
| op2(e20,op2(e20,e23)) != e23
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_286]) ).
cnf(c_0_333,plain,
( op2(e20,op2(e20,e23)) != e23
| ~ epred8_0 ),
inference(cn,[status(thm)],[c_0_287]) ).
cnf(c_0_334,plain,
( epred9_0
| op2(e21,op2(e21,e22)) != e22
| op2(e21,op2(e21,e22)) != e22
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_288]) ).
cnf(c_0_335,plain,
op2(e21,e22) != h2(e13),
inference(rw,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_336,plain,
( op2(e21,e22) = e22
| op2(e21,e22) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_174]),c_0_292]),c_0_293]) ).
cnf(c_0_337,plain,
op2(e20,e20) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_338,plain,
( epred10_0
| op2(e20,e22) != e21
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_339,plain,
( op2(e20,e22) = e22
| op2(e20,e22) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_174]),c_0_297]),c_0_298]) ).
cnf(c_0_340,plain,
( h2(e13) = e22
| h1(e13) = e22
| op2(e21,e22) != e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_300]),c_0_290]),c_0_201]),c_0_174]),c_0_174]),c_0_199]),c_0_230]),c_0_301]),c_0_302]) ).
cnf(c_0_341,plain,
( epred10_0
| h2(e13) != e22
| ~ epred11_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_295]),c_0_290]) ).
cnf(c_0_342,plain,
op2(e21,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_343,plain,
( op2(h4(e12),e21) = h4(e12)
| op2(h4(e12),e20) = h4(e12)
| epred13_0
| ~ epred14_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_304,c_0_174]),c_0_174]),c_0_174]),c_0_174]) ).
cnf(c_0_344,plain,
epred14_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_230]),c_0_306]) ).
cnf(c_0_345,plain,
( epred13_0
| op2(h4(e12),e21) != h4(e12) ),
inference(rw,[status(thm)],[c_0_307,c_0_230]) ).
cnf(c_0_346,plain,
op2(e21,h4(e12)) != op2(e20,h4(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_174]),c_0_174]) ).
cnf(c_0_347,plain,
op2(e21,h4(e12)) = h4(e10),
inference(rw,[status(thm)],[c_0_309,c_0_230]) ).
cnf(c_0_348,plain,
( op2(h4(e12),e21) = h4(e12)
| op2(e20,h4(e12)) = h4(e12)
| epred13_0
| ~ epred14_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_174]),c_0_174]),c_0_174]),c_0_174]) ).
cnf(c_0_349,plain,
( epred8_0
| op2(e20,op2(e20,e22)) != e22
| op2(e20,op2(e20,e22)) != e22
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_286]) ).
cnf(c_0_350,plain,
( op2(e20,op2(e20,e22)) != e22
| op2(e20,op2(e20,e22)) != e22
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_351,plain,
( epred11_0
| op2(e22,op2(e22,e21)) != e21
| op2(e22,op2(e22,e21)) != e21
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_311]) ).
cnf(c_0_352,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_353,plain,
op2(e22,h4(e12)) != e21,
inference(rw,[status(thm)],[c_0_312,c_0_230]) ).
cnf(c_0_354,plain,
( epred12_0
| op2(e22,op2(e22,e22)) != e22
| ~ epred13_0 ),
inference(cn,[status(thm)],[c_0_313]) ).
cnf(c_0_355,plain,
( op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 ),
inference(cn,[status(thm)],[c_0_314]) ).
cnf(c_0_356,plain,
( op1(e10,e13) = e13
| op1(e13,e11) != e13
| op1(e12,e11) != e10 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_59]),c_0_317]) ).
cnf(c_0_357,plain,
( op1(e13,e11) = e13
| op1(e10,e13) != e13
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_318]),c_0_318]) ).
cnf(c_0_358,plain,
( op1(e10,e12) = e12
| epred2_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_319,c_0_320]) ).
cnf(c_0_359,plain,
( op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_27]),c_0_60]) ).
cnf(c_0_360,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e10) = e12
| op1(e13,e11) != e12 ),
inference(spm,[status(thm)],[c_0_206,c_0_322]) ).
cnf(c_0_361,plain,
( op1(e10,e12) != e12
| op1(e12,e10) != e12 ),
inference(spm,[status(thm)],[c_0_323,c_0_103]) ).
cnf(c_0_362,plain,
( op1(e12,e13) != e10
| op1(e12,e10) != e12
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_324,c_0_187]) ).
cnf(c_0_363,plain,
( op1(e12,e10) = e11
| epred4_0
| op1(e12,e13) != e10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_188]),c_0_190]) ).
cnf(c_0_364,plain,
( op1(e12,e10) != e12
| op1(e12,e13) != e10
| op1(e12,e10) != e11 ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_365,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_366,plain,
op1(e13,e11) != e10,
inference(rw,[status(thm)],[c_0_328,c_0_43]) ).
cnf(c_0_367,plain,
op1(e13,e11) != e11,
inference(rw,[status(thm)],[c_0_329,c_0_27]) ).
cnf(c_0_368,plain,
( op1(e12,e11) = e12
| op1(e12,e13) = e12
| epred4_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_330]),c_0_28]),c_0_190]) ).
cnf(c_0_369,plain,
( epred13_0
| op2(e23,op2(e23,e22)) != e22
| op2(e23,op2(e23,e22)) != e22
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_203]) ).
cnf(c_0_370,plain,
( epred14_0
| op2(h4(e12),op2(h4(e12),e22)) != e22 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_331,c_0_174]),c_0_174]) ).
cnf(c_0_371,plain,
op2(e21,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_372,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_373,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_374,plain,
( epred8_0
| op2(e20,op2(e20,e23)) != e23
| ~ epred9_0 ),
inference(cn,[status(thm)],[c_0_332]) ).
cnf(c_0_375,plain,
( op2(e20,op2(e20,h4(e12))) != h4(e12)
| ~ epred8_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_333,c_0_174]),c_0_174]) ).
cnf(c_0_376,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_377,plain,
( epred9_0
| op2(e21,op2(e21,e22)) != e22
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_334]) ).
cnf(c_0_378,plain,
( op2(e21,e22) = e22
| h2(e13) != e21 ),
inference(spm,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_379,plain,
op2(e20,e22) != h1(e13),
inference(rw,[status(thm)],[c_0_337,c_0_300]) ).
cnf(c_0_380,plain,
( op2(e20,e22) = e22
| epred10_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_381,plain,
( h1(e13) = e22
| epred10_0
| ~ epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_295]),c_0_341]) ).
cnf(c_0_382,plain,
op2(h4(e12),e20) != op2(e21,e20),
inference(rw,[status(thm)],[c_0_342,c_0_174]) ).
cnf(c_0_383,plain,
( op2(h4(e12),e20) = h4(e12)
| epred13_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_343,c_0_344])]),c_0_345]) ).
cnf(c_0_384,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_385,plain,
op2(e20,h4(e12)) != h4(e10),
inference(rw,[status(thm)],[c_0_346,c_0_347]) ).
cnf(c_0_386,plain,
( op2(e20,h4(e12)) = h4(e12)
| epred13_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_348,c_0_344])]),c_0_345]) ).
cnf(c_0_387,plain,
op2(e20,e20) != op2(e20,e21),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_388,plain,
( op2(e21,e21) = e21
| op2(e20,e21) = e21
| epred9_0
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_288]) ).
cnf(c_0_389,plain,
( epred8_0
| op2(e20,op2(e20,e22)) != e22
| ~ epred9_0 ),
inference(cn,[status(thm)],[c_0_349]) ).
cnf(c_0_390,plain,
( op2(e20,op2(e20,e22)) != e22
| ~ epred8_0 ),
inference(cn,[status(thm)],[c_0_350]) ).
cnf(c_0_391,plain,
op2(e20,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_392,plain,
( epred11_0
| op2(e22,op2(e22,e21)) != e21
| ~ epred12_0 ),
inference(cn,[status(thm)],[c_0_351]) ).
cnf(c_0_393,plain,
( op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_352,c_0_201]),c_0_174]),c_0_306]),c_0_353]) ).
cnf(c_0_394,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| epred12_0
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_272]) ).
cnf(c_0_395,plain,
( epred12_0
| op2(e22,h4(e12)) != e22
| ~ epred13_0 ),
inference(rw,[status(thm)],[c_0_354,c_0_201]) ).
cnf(c_0_396,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_397,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_398,plain,
( op1(e10,e13) != e13
| op1(e12,e11) != e10
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_357]) ).
cnf(c_0_399,plain,
( op1(e10,e12) = e12
| epred1_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_358]) ).
cnf(c_0_400,plain,
( op1(e12,e13) = e10
| op1(e10,e13) = e10
| op1(e10,e13) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_359]),c_0_59]) ).
cnf(c_0_401,plain,
( op1(e10,e13) = e12
| op1(e12,e10) != e12
| op1(e13,e11) != e12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_360]),c_0_361]) ).
cnf(c_0_402,plain,
( op1(e12,e13) != e10
| op1(e12,e10) != e12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_364]) ).
cnf(c_0_403,plain,
( epred4_0
| op1(e12,e13) != e12
| op1(e13,e11) != e13 ),
inference(spm,[status(thm)],[c_0_244,c_0_278]) ).
cnf(c_0_404,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_365,c_0_366]),c_0_367]) ).
cnf(c_0_405,plain,
( op1(e12,e13) = e12
| op1(e12,e11) = e12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_368]),c_0_191]) ).
cnf(c_0_406,plain,
( epred13_0
| op2(e23,op2(e23,e22)) != e22
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_369]) ).
cnf(c_0_407,plain,
( epred14_0
| op2(h4(e12),e20) != e22 ),
inference(rw,[status(thm)],[c_0_370,c_0_256]) ).
cnf(c_0_408,plain,
op2(h4(e12),e21) != h2(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_174]),c_0_290]) ).
cnf(c_0_409,plain,
( op2(h4(e12),e21) = e22
| op2(h4(e12),e20) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_174]),c_0_174]),c_0_174]),c_0_256]),c_0_174]),c_0_174]),c_0_199]),c_0_230]),c_0_373]),c_0_302]) ).
cnf(c_0_410,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_411,plain,
( op2(e21,e21) = e21
| op2(e21,e20) = e21
| epred9_0
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_288]) ).
cnf(c_0_412,plain,
( op2(e20,op2(e20,h4(e12))) != h4(e12)
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_174]),c_0_174]),c_0_375]) ).
cnf(c_0_413,plain,
( op2(e20,h4(e12)) = h4(e12)
| h4(e10) = h4(e12) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_376,c_0_174]),c_0_174]),c_0_174]),c_0_347]),c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_199]),c_0_230]),c_0_174]),c_0_265]),c_0_306]) ).
cnf(c_0_414,plain,
( epred9_0
| h2(e13) != e21
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_378]) ).
cnf(c_0_415,plain,
( epred10_0
| ~ epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_380]),c_0_381]) ).
cnf(c_0_416,plain,
( epred13_0
| op2(e21,e20) != h4(e12) ),
inference(spm,[status(thm)],[c_0_382,c_0_383]) ).
cnf(c_0_417,plain,
( op2(e21,e20) = h4(e12)
| h4(e10) = h4(e12)
| h2(e13) = h4(e12) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_384,c_0_174]),c_0_290]),c_0_174]),c_0_174]),c_0_174]),c_0_347]),c_0_174]),c_0_293]) ).
cnf(c_0_418,plain,
( epred13_0
| h4(e10) != h4(e12) ),
inference(spm,[status(thm)],[c_0_385,c_0_386]) ).
cnf(c_0_419,plain,
op2(e20,e21) != h1(e13),
inference(rw,[status(thm)],[c_0_387,c_0_300]) ).
cnf(c_0_420,plain,
( op2(e20,e21) = e21
| h2(e13) = e21
| epred9_0
| ~ epred10_0 ),
inference(rw,[status(thm)],[c_0_388,c_0_290]) ).
cnf(c_0_421,plain,
( op2(e20,op2(e20,e22)) != e22
| ~ epred9_0 ),
inference(csr,[status(thm)],[c_0_389,c_0_390]) ).
cnf(c_0_422,plain,
( op2(e20,e22) = e22
| h1(e13) != e21 ),
inference(spm,[status(thm)],[c_0_379,c_0_339]) ).
cnf(c_0_423,plain,
op2(e22,e20) != h1(e13),
inference(rw,[status(thm)],[c_0_391,c_0_300]) ).
cnf(c_0_424,plain,
( op2(e22,e20) = e21
| epred11_0
| ~ epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_393]) ).
cnf(c_0_425,plain,
( epred12_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_201]),c_0_174]),c_0_301]),c_0_395]) ).
cnf(c_0_426,plain,
( op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_396,c_0_201]),c_0_174]),c_0_256]),c_0_306]),c_0_397]) ).
cnf(c_0_427,plain,
( op1(e10,e12) = e12
| op1(e10,e13) != e13
| op1(e12,e11) != e10
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_398,c_0_399]) ).
cnf(c_0_428,plain,
( op1(e12,e10) != e12
| op1(e13,e11) != e12 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_401]),c_0_44]),c_0_28]),c_0_402]) ).
cnf(c_0_429,plain,
( op1(e13,e11) = e12
| epred4_0
| op1(e12,e13) != e12 ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_430,plain,
( op1(e12,e13) = e12
| op1(e12,e10) != e12 ),
inference(spm,[status(thm)],[c_0_326,c_0_405]) ).
cnf(c_0_431,plain,
( epred13_0
| op2(h4(e12),e20) != e22 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_174]),c_0_174]),c_0_256]),c_0_407]) ).
cnf(c_0_432,plain,
( op2(h4(e12),e20) = e22
| h2(e13) != e22 ),
inference(spm,[status(thm)],[c_0_408,c_0_409]) ).
cnf(c_0_433,plain,
op2(e22,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_434,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_435,plain,
h4(e12) != e20,
inference(rw,[status(thm)],[c_0_410,c_0_174]) ).
cnf(c_0_436,plain,
op2(e23,e21) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_437,plain,
( op2(e21,e20) = e21
| h2(e13) = e21
| epred9_0
| ~ epred10_0 ),
inference(rw,[status(thm)],[c_0_411,c_0_290]) ).
cnf(c_0_438,plain,
( h4(e10) = h4(e12)
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_413]),c_0_413]) ).
cnf(c_0_439,plain,
( epred9_0
| h2(e13) != e21
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_440,plain,
( h2(e13) = h4(e12)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_417]),c_0_418]) ).
cnf(c_0_441,plain,
( h2(e13) = e21
| epred9_0
| h1(e13) != e21
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_419,c_0_420]) ).
cnf(c_0_442,plain,
( h1(e13) != e21
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_422]),c_0_422]) ).
cnf(c_0_443,plain,
( epred11_0
| h1(e13) != e21
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_423,c_0_424]) ).
cnf(c_0_444,plain,
( epred12_0
| h4(e10) != h4(e12) ),
inference(spm,[status(thm)],[c_0_425,c_0_418]) ).
cnf(c_0_445,plain,
( op2(e20,e22) = e21
| h2(e13) != e21 ),
inference(spm,[status(thm)],[c_0_335,c_0_426]) ).
cnf(c_0_446,plain,
op1(e13,e10) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_447,plain,
( op1(e10,e12) = e12
| op1(e12,e11) != e10
| op1(e13,e11) != e13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_356]),c_0_317]) ).
cnf(c_0_448,plain,
( epred2_0
| op1(e11,op1(e11,e10)) != e10
| op1(e11,op1(e11,e10)) != e10
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_449,plain,
( epred3_0
| op1(e11,op1(e11,e10)) != e10
| op1(e11,op1(e11,e10)) != e10
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_450,plain,
( op1(e13,e11) = e13
| op1(e13,e10) = e13
| epred6_0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_451,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_452,plain,
op1(e12,e10) != e12,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_429]),c_0_430]),c_0_213]) ).
cnf(c_0_453,plain,
( epred9_0
| op2(e21,op2(e21,e23)) != e23
| op2(e21,op2(e21,e23)) != e23
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_288]) ).
cnf(c_0_454,plain,
( epred13_0
| h2(e13) != e22 ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_455,plain,
op2(h4(e12),e20) != op2(e22,e20),
inference(rw,[status(thm)],[c_0_433,c_0_174]) ).
cnf(c_0_456,plain,
( op2(h4(e12),e21) = h4(e12)
| op2(h4(e12),e20) = h4(e12) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_434,c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_256]),c_0_174]),c_0_174]),c_0_174]),c_0_199]),c_0_230]),c_0_174]),c_0_435]),c_0_306]) ).
cnf(c_0_457,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_458,plain,
op2(h4(e12),e21) != op2(h4(e12),e22),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_436,c_0_174]),c_0_174]) ).
cnf(c_0_459,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20
| op2(e23,e20) != e23 ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_460,plain,
( h4(e10) = h4(e12)
| h2(e13) = h4(e12)
| h2(e13) = e21
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_417]),c_0_306]),c_0_438]) ).
cnf(c_0_461,plain,
( h4(e10) = h4(e12)
| h2(e13) != e21
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_438,c_0_439]) ).
cnf(c_0_462,plain,
( h2(e13) = h4(e12)
| epred12_0 ),
inference(spm,[status(thm)],[c_0_425,c_0_440]) ).
cnf(c_0_463,plain,
( h2(e13) = e21
| h1(e13) != e21
| ~ epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_415]),c_0_442]) ).
cnf(c_0_464,plain,
( epred11_0
| h4(e10) != h4(e12)
| h1(e13) != e21 ),
inference(spm,[status(thm)],[c_0_443,c_0_444]) ).
cnf(c_0_465,plain,
( h1(e13) != e21
| h2(e13) != e21 ),
inference(spm,[status(thm)],[c_0_379,c_0_445]) ).
cnf(c_0_466,plain,
( op1(e10,e10) = e10
| op1(e12,e11) != e10
| op1(e13,e10) != e13 ),
inference(spm,[status(thm)],[c_0_183,c_0_246]) ).
cnf(c_0_467,plain,
( op1(e13,e11) = e12
| op1(e13,e10) != e13 ),
inference(spm,[status(thm)],[c_0_446,c_0_404]) ).
cnf(c_0_468,plain,
( op1(e13,e10) = e13
| op1(e10,e12) = e12
| op1(e12,e11) != e10 ),
inference(spm,[status(thm)],[c_0_447,c_0_247]) ).
cnf(c_0_469,plain,
( epred2_0
| op1(e11,op1(e11,e10)) != e10
| ~ epred3_0 ),
inference(cn,[status(thm)],[c_0_448]) ).
cnf(c_0_470,plain,
( epred3_0
| op1(e11,op1(e11,e10)) != e10
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_449]) ).
cnf(c_0_471,plain,
( op1(e13,e10) = e13
| epred6_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_450,c_0_127])]),c_0_128]) ).
cnf(c_0_472,plain,
op1(e11,e10) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_473,plain,
( op1(e13,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[c_0_451,c_0_452]) ).
cnf(c_0_474,plain,
( epred9_0
| op2(e21,op2(e21,e23)) != e23
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_453]) ).
cnf(c_0_475,plain,
( op2(e21,e22) = e22
| op2(e22,e20) = e22
| epred11_0
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_311]) ).
cnf(c_0_476,plain,
( epred12_0
| h2(e13) != e22 ),
inference(spm,[status(thm)],[c_0_425,c_0_454]) ).
cnf(c_0_477,plain,
( op2(e22,e20) != e22
| h2(e13) != e22 ),
inference(spm,[status(thm)],[c_0_455,c_0_432]) ).
cnf(c_0_478,plain,
( op2(h4(e12),e20) = h4(e12)
| h2(e13) != h4(e12) ),
inference(spm,[status(thm)],[c_0_408,c_0_456]) ).
cnf(c_0_479,plain,
( op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_457,c_0_201]),c_0_174]),c_0_256]),c_0_301]),c_0_373]) ).
cnf(c_0_480,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_481,plain,
op2(h4(e12),e21) != e20,
inference(rw,[status(thm)],[c_0_458,c_0_256]) ).
cnf(c_0_482,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_483,plain,
( h2(e13) = e20
| h1(e13) = e20
| op2(h4(e12),e20) != h4(e12) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_459,c_0_300]),c_0_290]),c_0_201]),c_0_174]),c_0_174]),c_0_199]),c_0_230]),c_0_174]),c_0_174]),c_0_435]),c_0_397]) ).
cnf(c_0_484,plain,
( h2(e13) = h4(e12)
| h4(e10) = h4(e12)
| ~ epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_415]),c_0_461]) ).
cnf(c_0_485,plain,
( h2(e13) = h4(e12)
| epred11_0
| h1(e13) != e21 ),
inference(spm,[status(thm)],[c_0_443,c_0_462]) ).
cnf(c_0_486,plain,
( h4(e10) != h4(e12)
| h1(e13) != e21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_464]),c_0_465]) ).
cnf(c_0_487,plain,
( op1(e10,op1(e10,e12)) != e12
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_488,plain,
( op1(e10,e12) = e12
| op1(e10,e13) = e12
| op1(e12,e11) != e10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_360]),c_0_44]),c_0_467]),c_0_468]) ).
cnf(c_0_489,plain,
( op1(e11,e13) = e10
| epred2_0
| op1(e12,e11) != e10
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_211]),c_0_211]) ).
cnf(c_0_490,plain,
( op1(e11,e13) = e10
| epred3_0
| op1(e12,e11) != e10
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_211]),c_0_211]) ).
cnf(c_0_491,plain,
( op1(e13,e10) = e13
| epred5_0 ),
inference(spm,[status(thm)],[c_0_129,c_0_471]) ).
cnf(c_0_492,plain,
( op1(e10,e10) = e12
| op1(e13,e10) = e12
| op1(e11,e12) != e12 ),
inference(spm,[status(thm)],[c_0_472,c_0_473]) ).
cnf(c_0_493,plain,
( epred9_0
| op2(e21,op2(e21,h4(e12))) != h4(e12)
| ~ epred10_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_474,c_0_174]),c_0_174]) ).
cnf(c_0_494,plain,
( epred11_0
| h2(e13) != e22 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_475]),c_0_476]),c_0_477]) ).
cnf(c_0_495,plain,
( h2(e13) != h4(e12)
| h2(e13) != e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_432]),c_0_301]) ).
cnf(c_0_496,plain,
( op2(e20,e22) = e22
| h2(e13) != e22 ),
inference(spm,[status(thm)],[c_0_335,c_0_479]) ).
cnf(c_0_497,plain,
op2(e21,e22) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_498,plain,
op2(e20,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_499,plain,
( op2(e22,e21) = e20
| op2(e20,e21) = e20
| h2(e13) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_480,c_0_290]),c_0_174]),c_0_481]) ).
cnf(c_0_500,plain,
( op2(e22,e21) = e21
| op2(e20,e21) = e21
| h2(e13) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_482,c_0_290]),c_0_174]),c_0_259]) ).
cnf(c_0_501,plain,
( h2(e13) = e20
| h1(e13) = e20
| h2(e13) != h4(e12) ),
inference(spm,[status(thm)],[c_0_483,c_0_478]) ).
cnf(c_0_502,plain,
( h2(e13) = h4(e12)
| h1(e13) != e21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_485]),c_0_486]) ).
cnf(c_0_503,plain,
( op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 ),
inference(cn,[status(thm)],[c_0_487]) ).
cnf(c_0_504,plain,
( op1(e10,e12) = e12
| op1(e12,e11) != e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_488]),c_0_44]),c_0_28]) ).
cnf(c_0_505,plain,
( op1(e11,e13) = e10
| epred2_0
| op1(e12,e11) != e10
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_489,c_0_490]) ).
cnf(c_0_506,plain,
( op1(e13,e10) = e13
| epred4_0
| op1(e12,e11) != e10 ),
inference(spm,[status(thm)],[c_0_277,c_0_491]) ).
cnf(c_0_507,plain,
( op1(e13,e10) = e12
| op1(e10,e12) != e12
| op1(e11,e12) != e12 ),
inference(spm,[status(thm)],[c_0_131,c_0_492]) ).
cnf(c_0_508,plain,
( epred9_0
| op2(e21,h4(e10)) != h4(e12)
| ~ epred10_0 ),
inference(rw,[status(thm)],[c_0_493,c_0_347]) ).
cnf(c_0_509,plain,
( h4(e10) = h4(e12)
| h2(e13) != e22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_494]),c_0_495]) ).
cnf(c_0_510,plain,
( h2(e13) != e22
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_496]),c_0_496]) ).
cnf(c_0_511,plain,
op2(e21,h4(e12)) != op2(e21,e22),
inference(rw,[status(thm)],[c_0_497,c_0_174]) ).
cnf(c_0_512,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_513,plain,
op2(e20,h4(e12)) != h4(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_498,c_0_174]),c_0_174]),c_0_199]),c_0_174]) ).
cnf(c_0_514,plain,
( op2(e22,e21) = e20
| h2(e13) = e20
| h1(e13) != e20 ),
inference(spm,[status(thm)],[c_0_419,c_0_499]) ).
cnf(c_0_515,plain,
( op2(e22,e21) = e21
| h1(e13) != e21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_500]),c_0_465]) ).
cnf(c_0_516,plain,
( h1(e13) = e20
| h1(e13) != e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_502]),c_0_435]) ).
cnf(c_0_517,plain,
( op1(e12,e11) != e10
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_504]),c_0_504]) ).
cnf(c_0_518,plain,
( op1(e11,e13) = e10
| epred1_0
| op1(e12,e11) != e10
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_505]) ).
cnf(c_0_519,plain,
( epred4_0
| op1(e12,e11) != e10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_507]),c_0_28]),c_0_190]),c_0_504]) ).
cnf(c_0_520,plain,
( op1(e11,e12) = e12
| op1(e10,e12) != e11 ),
inference(spm,[status(thm)],[c_0_323,c_0_82]) ).
cnf(c_0_521,plain,
( h2(e13) != e22
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_509]),c_0_347]),c_0_509]),c_0_510]) ).
cnf(c_0_522,plain,
op2(e21,e22) != h4(e10),
inference(rw,[status(thm)],[c_0_511,c_0_347]) ).
cnf(c_0_523,plain,
( op2(e20,h4(e12)) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| h1(e13) = e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_512,c_0_300]),c_0_174]) ).
cnf(c_0_524,plain,
op2(e20,h4(e12)) != e21,
inference(rw,[status(thm)],[c_0_513,c_0_230]) ).
cnf(c_0_525,plain,
( h2(e13) = e20
| h1(e13) != e21 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_515]),c_0_397]),c_0_516]) ).
cnf(c_0_526,plain,
( op1(e11,e13) = e10
| op1(e12,e11) != e10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_518]),c_0_519]) ).
cnf(c_0_527,plain,
( epred2_0
| op1(e10,e12) != e11
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_520]),c_0_520]) ).
cnf(c_0_528,plain,
( epred3_0
| op1(e10,e12) != e11
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_520]),c_0_520]) ).
cnf(c_0_529,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_530,plain,
h2(e13) != e22,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_521,c_0_415]),c_0_494]) ).
cnf(c_0_531,plain,
( op2(e20,e22) = e22
| h4(e10) != e22 ),
inference(spm,[status(thm)],[c_0_522,c_0_479]) ).
cnf(c_0_532,plain,
( op2(e20,e21) = e21
| op2(e20,e22) = e21
| h1(e13) = e21 ),
inference(sr,[status(thm)],[c_0_523,c_0_524]) ).
cnf(c_0_533,plain,
h1(e13) != e21,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_525]),c_0_435]) ).
cnf(c_0_534,plain,
( epred2_0
| op1(e11,e10) != e13
| op1(e12,e11) != e10
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_180,c_0_526]) ).
cnf(c_0_535,plain,
( epred3_0
| op1(e11,e10) != e13
| op1(e12,e11) != e10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_526]),c_0_519]) ).
cnf(c_0_536,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_537,plain,
( epred2_0
| op1(e10,e12) != e11
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_527,c_0_528]) ).
cnf(c_0_538,plain,
( op2(e21,e22) = e22
| op2(e21,e20) = e22
| h4(e10) = e22
| h2(e13) = e22 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_529,c_0_290]),c_0_174]),c_0_347]) ).
cnf(c_0_539,plain,
( op2(e20,e22) = e21
| h1(e13) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_426]),c_0_530]) ).
cnf(c_0_540,plain,
( h1(e13) != e22
| h4(e10) != e22 ),
inference(spm,[status(thm)],[c_0_379,c_0_531]) ).
cnf(c_0_541,plain,
( op2(e21,e22) = e22
| op2(e20,e22) != e21 ),
inference(spm,[status(thm)],[c_0_294,c_0_336]) ).
cnf(c_0_542,plain,
op2(e20,e21) != op2(e22,e21),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_543,plain,
( op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(sr,[status(thm)],[c_0_532,c_0_533]) ).
cnf(c_0_544,plain,
( epred2_0
| op1(e11,e10) != e13
| op1(e12,e11) != e10 ),
inference(spm,[status(thm)],[c_0_534,c_0_535]) ).
cnf(c_0_545,plain,
( op1(e11,e13) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(sr,[status(thm)],[c_0_536,c_0_66]) ).
cnf(c_0_546,plain,
( epred1_0
| op1(e10,e12) != e11
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_537]) ).
cnf(c_0_547,plain,
( epred9_0
| op2(e21,op2(e21,e20)) != e20
| op2(e21,op2(e21,e20)) != e20
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_288]) ).
cnf(c_0_548,plain,
op2(e20,e20) != op2(e21,e20),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_549,plain,
( op2(e21,e22) = e22
| op2(e21,e20) = e22
| h4(e10) = e22 ),
inference(sr,[status(thm)],[c_0_538,c_0_530]) ).
cnf(c_0_550,plain,
h4(e10) != e22,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_539]),c_0_302]),c_0_540]) ).
cnf(c_0_551,plain,
( epred9_0
| op2(e20,e22) != e21
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_541]),c_0_541]) ).
cnf(c_0_552,plain,
( op2(e20,e22) = e21
| op2(e22,e21) != e21 ),
inference(spm,[status(thm)],[c_0_542,c_0_543]) ).
cnf(c_0_553,plain,
op2(e21,e23) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_554,plain,
( op1(e11,e10) != e13
| op1(e12,e11) != e10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_544]),c_0_517]) ).
cnf(c_0_555,plain,
( op1(e11,e13) = e13
| op1(e11,e10) = e13
| op1(e13,e11) != e13 ),
inference(spm,[status(thm)],[c_0_33,c_0_545]) ).
cnf(c_0_556,plain,
( op1(e10,e11) = e10
| op1(e10,e10) = e10
| op1(e10,e12) != e11
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_133,c_0_546]) ).
cnf(c_0_557,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_558,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_559,plain,
( epred9_0
| op2(e21,op2(e21,e20)) != e20
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_547]) ).
cnf(c_0_560,plain,
op2(e21,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_561,plain,
op2(e21,e20) != h1(e13),
inference(rw,[status(thm)],[c_0_548,c_0_300]) ).
cnf(c_0_562,plain,
( op2(e21,e20) = e22
| op2(e21,e22) = e22 ),
inference(sr,[status(thm)],[c_0_549,c_0_550]) ).
cnf(c_0_563,plain,
op2(e21,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_564,plain,
( epred9_0
| op2(e22,e21) != e21
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_551,c_0_552]) ).
cnf(c_0_565,plain,
op2(e21,h4(e12)) != op2(e22,h4(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_553,c_0_174]),c_0_174]) ).
cnf(c_0_566,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_567,plain,
( op1(e11,e13) = e13
| op1(e12,e11) != e10
| op1(e13,e11) != e13 ),
inference(spm,[status(thm)],[c_0_554,c_0_555]) ).
cnf(c_0_568,plain,
( op1(e13,e11) = e13
| op1(e11,e12) != e11
| op1(e10,e13) != e13 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_318]),c_0_44]),c_0_404]) ).
cnf(c_0_569,plain,
( op1(e10,e13) = e13
| op1(e12,e11) != e10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_274]),c_0_519]) ).
cnf(c_0_570,plain,
( op1(e10,e10) = e10
| op1(e12,e11) != e10
| op1(e10,e12) != e11
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_556]) ).
cnf(c_0_571,plain,
op2(e23,e20) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_572,plain,
( op2(e20,h4(e12)) = e20
| op2(e20,e21) = e20
| h1(e13) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_557,c_0_300]),c_0_174]),c_0_297]) ).
cnf(c_0_573,plain,
( op2(e21,e20) = e20
| h4(e10) = e20
| h2(e13) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_558,c_0_290]),c_0_174]),c_0_347]),c_0_292]) ).
cnf(c_0_574,plain,
( h2(e13) = e21
| epred9_0
| h2(e13) != e20
| ~ epred10_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_437]),c_0_290]) ).
cnf(c_0_575,plain,
op2(e22,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_576,plain,
op2(e23,e20) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_577,plain,
op2(e21,h4(e12)) != h4(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_560,c_0_174]),c_0_174]),c_0_199]),c_0_174]) ).
cnf(c_0_578,plain,
( op2(e21,e22) = e22
| h1(e13) != e22 ),
inference(spm,[status(thm)],[c_0_561,c_0_562]) ).
cnf(c_0_579,plain,
( h2(e13) = e21
| epred9_0
| op2(e22,e20) != e21
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_563,c_0_437]) ).
cnf(c_0_580,plain,
( op2(e22,e20) = e21
| epred9_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_564,c_0_393]) ).
cnf(c_0_581,plain,
op2(e20,e21) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_582,plain,
op2(e22,h4(e12)) != h4(e10),
inference(rw,[status(thm)],[c_0_565,c_0_347]) ).
cnf(c_0_583,plain,
( op2(e22,h4(e12)) = e22
| op2(e22,h4(e12)) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_566,c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_353]),c_0_265]) ).
cnf(c_0_584,plain,
( op1(e12,e11) != e10
| op1(e13,e11) != e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_567]),c_0_59]) ).
cnf(c_0_585,plain,
( op1(e13,e11) = e13
| op1(e11,e12) != e11
| op1(e12,e11) != e10 ),
inference(spm,[status(thm)],[c_0_568,c_0_569]) ).
cnf(c_0_586,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_587,plain,
( op1(e12,e11) != e10
| op1(e10,e12) != e11
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_570]),c_0_546]),c_0_570]) ).
cnf(c_0_588,plain,
( epred6_0
| op1(e13,op1(e13,e11)) != e11
| op1(e13,op1(e13,e11)) != e11
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_589,plain,
( epred7_0
| op1(e13,op1(e13,e11)) != e11
| op1(e13,op1(e13,e11)) != e11 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_590,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_591,plain,
op2(h4(e12),e20) != op2(h4(e12),e22),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_571,c_0_174]),c_0_174]) ).
cnf(c_0_592,plain,
( op2(e20,e21) = e20
| h1(e13) = e20
| h4(e10) != e20 ),
inference(spm,[status(thm)],[c_0_385,c_0_572]) ).
cnf(c_0_593,plain,
( h4(e10) = e20
| epred9_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_573]),c_0_397]),c_0_574]),c_0_414]) ).
cnf(c_0_594,plain,
op2(e20,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_595,plain,
op2(h4(e12),e21) != op2(e22,e21),
inference(rw,[status(thm)],[c_0_575,c_0_174]) ).
cnf(c_0_596,plain,
op2(h4(e12),e20) != h4(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_576,c_0_174]),c_0_174]),c_0_199]),c_0_174]) ).
cnf(c_0_597,plain,
( epred11_0
| op2(e22,op2(e22,e23)) != e23
| op2(e22,op2(e22,e23)) != e23
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_311]) ).
cnf(c_0_598,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_599,plain,
h4(e10) != e21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_577,c_0_230]),c_0_347]) ).
cnf(c_0_600,plain,
op2(e20,e22) = e21,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_578]),c_0_302]),c_0_539]) ).
cnf(c_0_601,plain,
op2(e20,e21) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_602,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_603,plain,
( epred9_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_580]),c_0_414]) ).
cnf(c_0_604,plain,
op2(e20,e21) != h2(e13),
inference(rw,[status(thm)],[c_0_581,c_0_290]) ).
cnf(c_0_605,plain,
( op2(e20,e21) = e20
| h1(e13) = e20
| epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_572]),c_0_435]) ).
cnf(c_0_606,plain,
( h2(e13) = e20
| h1(e13) = e20
| epred13_0 ),
inference(spm,[status(thm)],[c_0_483,c_0_383]) ).
cnf(c_0_607,plain,
( op2(e22,h4(e12)) = e22
| h4(e10) != e20 ),
inference(spm,[status(thm)],[c_0_582,c_0_583]) ).
cnf(c_0_608,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_609,plain,
( op1(e12,e11) != e10
| op1(e11,e12) != e11 ),
inference(spm,[status(thm)],[c_0_584,c_0_585]) ).
cnf(c_0_610,plain,
( op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_586,c_0_23]),c_0_43]),c_0_108]),c_0_60]) ).
cnf(c_0_611,plain,
( op1(e12,e11) != e10
| op1(e10,e12) != e11 ),
inference(spm,[status(thm)],[c_0_587,c_0_519]) ).
cnf(c_0_612,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| epred3_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_613,plain,
op1(e13,e10) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_614,plain,
( epred6_0
| op1(e13,op1(e13,e11)) != e11
| ~ epred7_0 ),
inference(cn,[status(thm)],[c_0_588]) ).
cnf(c_0_615,plain,
( epred7_0
| op1(e13,op1(e13,e11)) != e11 ),
inference(cn,[status(thm)],[c_0_589]) ).
cnf(c_0_616,plain,
( op2(e20,e21) = e20
| op2(e20,e20) = e20
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_617,plain,
( op2(e20,h4(e12)) = h4(e12)
| op2(e20,e21) = h4(e12)
| h1(e13) = h4(e12) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_590,c_0_300]),c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_298]) ).
cnf(c_0_618,plain,
( op2(e23,e20) = e20
| op2(e20,e22) = e20
| epred8_0
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_286]) ).
cnf(c_0_619,plain,
op2(h4(e12),e20) != e20,
inference(rw,[status(thm)],[c_0_591,c_0_256]) ).
cnf(c_0_620,plain,
( h1(e13) = e20
| epred9_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_592]),c_0_397]),c_0_593]),c_0_414]) ).
cnf(c_0_621,plain,
op2(h4(e12),e20) != h1(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_594,c_0_174]),c_0_300]) ).
cnf(c_0_622,plain,
( op2(h4(e12),e20) = e22
| op2(e22,e21) != e22 ),
inference(spm,[status(thm)],[c_0_595,c_0_409]) ).
cnf(c_0_623,plain,
( op2(e22,e21) = e22
| op2(e20,e22) = e22
| epred11_0
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_311]) ).
cnf(c_0_624,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_625,plain,
op2(h4(e12),e20) != e21,
inference(rw,[status(thm)],[c_0_596,c_0_230]) ).
cnf(c_0_626,plain,
( epred11_0
| op2(e22,op2(e22,e23)) != e23
| ~ epred12_0 ),
inference(cn,[status(thm)],[c_0_597]) ).
cnf(c_0_627,plain,
( op2(e21,e20) = e20
| op2(e20,e20) = e20
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_628,plain,
( op2(e21,e22) = e21
| op2(e21,e20) = e21
| h2(e13) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_598,c_0_290]),c_0_174]),c_0_347]),c_0_599]) ).
cnf(c_0_629,plain,
op2(e21,e22) = e22,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_541,c_0_600])]) ).
cnf(c_0_630,plain,
op2(e20,e21) != e21,
inference(rw,[status(thm)],[c_0_601,c_0_600]) ).
cnf(c_0_631,plain,
( op2(e22,h4(e12)) = e22
| op2(e20,h4(e12)) = e22
| h4(e10) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_602,c_0_174]),c_0_174]),c_0_347]),c_0_174]),c_0_174]),c_0_174]),c_0_199]),c_0_230]),c_0_302]) ).
cnf(c_0_632,plain,
( epred9_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_603,c_0_415]) ).
cnf(c_0_633,plain,
( op2(e22,e20) = e22
| epred11_0
| h4(e10) != e22
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_522,c_0_475]) ).
cnf(c_0_634,plain,
( h1(e13) = e20
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_604,c_0_605]),c_0_606]) ).
cnf(c_0_635,plain,
( h4(e10) != e22
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_531]),c_0_531]) ).
cnf(c_0_636,plain,
( h4(e10) = e20
| epred9_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_593,c_0_415]) ).
cnf(c_0_637,plain,
( h4(e10) != e22
| h4(e10) != e20 ),
inference(spm,[status(thm)],[c_0_582,c_0_607]) ).
cnf(c_0_638,plain,
( op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(sr,[status(thm)],[c_0_608,c_0_366]) ).
cnf(c_0_639,plain,
op1(e12,e11) != e10,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_610]),c_0_611]) ).
cnf(c_0_640,plain,
( op1(e11,e12) = e11
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[c_0_612,c_0_117]) ).
cnf(c_0_641,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_642,plain,
op1(e13,e10) != e11,
inference(rw,[status(thm)],[c_0_613,c_0_27]) ).
cnf(c_0_643,plain,
( epred6_0
| op1(e13,op1(e13,e11)) != e11 ),
inference(csr,[status(thm)],[c_0_614,c_0_615]) ).
cnf(c_0_644,plain,
( op2(e20,e21) = e20
| h1(e13) = e20
| ~ epred8_0 ),
inference(rw,[status(thm)],[c_0_616,c_0_300]) ).
cnf(c_0_645,plain,
( op2(e20,e21) = h4(e12)
| h1(e13) = h4(e12)
| h4(e10) != h4(e12) ),
inference(spm,[status(thm)],[c_0_385,c_0_617]) ).
cnf(c_0_646,plain,
( h4(e10) = h4(e12)
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_413]),c_0_413]) ).
cnf(c_0_647,plain,
( epred8_0
| ~ epred9_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_618,c_0_174]),c_0_297]),c_0_619]) ).
cnf(c_0_648,plain,
( h1(e13) = e20
| epred9_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_620,c_0_415]) ).
cnf(c_0_649,plain,
( op2(e22,e21) != e22
| h1(e13) != e22 ),
inference(spm,[status(thm)],[c_0_621,c_0_622]) ).
cnf(c_0_650,plain,
( op2(e22,e21) = e22
| epred11_0
| h1(e13) != e22
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_379,c_0_623]) ).
cnf(c_0_651,plain,
( op2(h4(e12),e20) = h4(e12)
| op2(h4(e12),e20) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_624,c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_619]),c_0_625]) ).
cnf(c_0_652,plain,
( epred11_0
| op2(e22,op2(e22,h4(e12))) != h4(e12)
| ~ epred12_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_626,c_0_174]),c_0_174]) ).
cnf(c_0_653,plain,
( op2(e21,e20) = e20
| h1(e13) = e20
| ~ epred8_0 ),
inference(rw,[status(thm)],[c_0_627,c_0_300]) ).
cnf(c_0_654,plain,
( op2(e21,e20) = e21
| h2(e13) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_628,c_0_629]),c_0_302]) ).
cnf(c_0_655,plain,
( op2(e22,e21) = e22
| epred11_0
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_623,c_0_600]),c_0_302]) ).
cnf(c_0_656,plain,
( op2(e22,e21) = e21
| h2(e13) = e21 ),
inference(sr,[status(thm)],[c_0_500,c_0_630]) ).
cnf(c_0_657,plain,
( op2(e22,h4(e12)) = e22
| h4(e10) = h4(e12)
| h4(e10) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_631]),c_0_301]) ).
cnf(c_0_658,plain,
( h4(e10) = h4(e12)
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_438,c_0_632]) ).
cnf(c_0_659,plain,
( epred11_0
| h4(e10) != e22
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_633]),c_0_302]) ).
cnf(c_0_660,plain,
( h1(e13) = e20
| epred12_0 ),
inference(spm,[status(thm)],[c_0_425,c_0_634]) ).
cnf(c_0_661,plain,
( h4(e10) != e22
| ~ epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_636]),c_0_637]) ).
cnf(c_0_662,plain,
( op1(e10,op1(e10,e11)) != e11
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_663,plain,
( op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(sr,[status(thm)],[c_0_638,c_0_639]) ).
cnf(c_0_664,plain,
( op1(e10,e10) = e12
| epred2_0
| op1(e11,e12) != e11
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_75,c_0_34]) ).
cnf(c_0_665,plain,
( op1(e10,e10) = e12
| epred3_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_34]),c_0_640]) ).
cnf(c_0_666,plain,
( op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(sr,[status(thm)],[c_0_641,c_0_642]) ).
cnf(c_0_667,plain,
( op1(e13,e11) = e12
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_404]),c_0_27])]) ).
cnf(c_0_668,plain,
op2(e20,e20) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_669,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_670,plain,
( h1(e13) = h4(e12)
| h1(e13) = e20
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_645]),c_0_435]),c_0_646]) ).
cnf(c_0_671,plain,
( h1(e13) = e20
| epred8_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_647,c_0_648]) ).
cnf(c_0_672,plain,
( epred11_0
| h1(e13) != e22
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_649,c_0_650]) ).
cnf(c_0_673,plain,
( op2(h4(e12),e20) = e22
| h1(e13) != h4(e12) ),
inference(spm,[status(thm)],[c_0_621,c_0_651]) ).
cnf(c_0_674,plain,
( epred11_0
| h4(e10) != e20
| ~ epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_607]),c_0_201])]) ).
cnf(c_0_675,plain,
( h2(e13) = e21
| h1(e13) = e20
| ~ epred8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_654]),c_0_397]) ).
cnf(c_0_676,plain,
( epred8_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_647,c_0_632]) ).
cnf(c_0_677,plain,
( h2(e13) = e21
| epred11_0
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_656]),c_0_302]) ).
cnf(c_0_678,plain,
( h4(e10) = h4(e12)
| h4(e10) = e22
| ~ epred12_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_657]),c_0_201])]),c_0_658]) ).
cnf(c_0_679,plain,
( h1(e13) = e20
| h4(e10) != e22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_660]),c_0_661]) ).
cnf(c_0_680,plain,
( op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 ),
inference(cn,[status(thm)],[c_0_662]) ).
cnf(c_0_681,plain,
( op1(e10,e11) = e10
| op1(e10,e10) = e12
| op1(e11,e12) != e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_663]),c_0_44]) ).
cnf(c_0_682,plain,
( op1(e10,e10) = e12
| epred2_0
| op1(e11,e12) != e11
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_664,c_0_665]) ).
cnf(c_0_683,plain,
( op1(e12,e10) = e11
| op1(e10,e10) = e11
| op1(e11,e12) != e11 ),
inference(spm,[status(thm)],[c_0_472,c_0_666]) ).
cnf(c_0_684,plain,
( op1(e13,e11) = e12
| epred5_0 ),
inference(spm,[status(thm)],[c_0_129,c_0_667]) ).
cnf(c_0_685,plain,
( op1(e11,e10) = e10
| op1(e10,e10) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_686,plain,
( op1(e10,e10) = e10
| op1(e10,e11) != e10
| op1(e13,e10) != e13 ),
inference(spm,[status(thm)],[c_0_99,c_0_246]) ).
cnf(c_0_687,plain,
op2(e21,e21) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_688,plain,
op2(e20,h4(e12)) != h1(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_668,c_0_174]),c_0_300]) ).
cnf(c_0_689,plain,
( op2(e22,h4(e12)) = e20
| op2(e20,h4(e12)) = e20
| h4(e10) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_669,c_0_174]),c_0_174]),c_0_347]),c_0_174]),c_0_174]),c_0_174]),c_0_199]),c_0_230]),c_0_397]) ).
cnf(c_0_690,plain,
( h1(e13) = h4(e12)
| h1(e13) = e20
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_670,c_0_671]) ).
cnf(c_0_691,plain,
( h1(e13) = e20
| epred11_0
| h1(e13) != e22 ),
inference(spm,[status(thm)],[c_0_672,c_0_660]) ).
cnf(c_0_692,plain,
( h1(e13) != h4(e12)
| h1(e13) != e22 ),
inference(spm,[status(thm)],[c_0_621,c_0_673]) ).
cnf(c_0_693,plain,
( h4(e10) = h4(e12)
| h2(e13) = h4(e12)
| h4(e10) != e20
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_417]),c_0_347]),c_0_438]) ).
cnf(c_0_694,plain,
( h2(e13) = h4(e12)
| epred11_0
| h4(e10) != e20 ),
inference(spm,[status(thm)],[c_0_674,c_0_462]) ).
cnf(c_0_695,plain,
( h1(e13) = e20
| h2(e13) = e21
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_675,c_0_676]) ).
cnf(c_0_696,plain,
( h2(e13) = e21
| epred11_0
| h4(e10) != h4(e12) ),
inference(spm,[status(thm)],[c_0_677,c_0_444]) ).
cnf(c_0_697,plain,
( h4(e10) = h4(e12)
| h1(e13) = e20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_660]),c_0_679]) ).
cnf(c_0_698,plain,
( epred14_0
| op2(e23,op2(e23,e21)) != e21
| op2(e23,op2(e23,e21)) != e21 ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_699,plain,
op1(e10,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_700,plain,
( op1(e10,e10) = e12
| op1(e12,e11) != e12
| op1(e11,e12) != e11 ),
inference(spm,[status(thm)],[c_0_183,c_0_34]) ).
cnf(c_0_701,plain,
( op1(e10,e10) = e12
| op1(e10,e10) != e11
| op1(e11,e12) != e11
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_680,c_0_681]) ).
cnf(c_0_702,plain,
( op1(e10,e10) = e12
| epred1_0
| op1(e11,e12) != e11
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_682]) ).
cnf(c_0_703,plain,
( op1(e12,e10) = e11
| op1(e13,e11) != e12
| op1(e11,e12) != e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_683]),c_0_29]) ).
cnf(c_0_704,plain,
( op1(e13,e11) = e12
| op1(e12,e10) = e11
| epred4_0 ),
inference(spm,[status(thm)],[c_0_162,c_0_684]) ).
cnf(c_0_705,plain,
op1(e11,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_706,plain,
( op1(e11,e10) = e10
| op1(e10,e10) = e10
| op1(e10,e12) != e11
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_685,c_0_546]) ).
cnf(c_0_707,plain,
( op1(e10,e13) = e10
| op1(e10,e10) = e10
| op1(e13,e10) != e13 ),
inference(spm,[status(thm)],[c_0_686,c_0_120]) ).
cnf(c_0_708,plain,
op2(e21,h4(e12)) != h2(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_687,c_0_174]),c_0_290]) ).
cnf(c_0_709,plain,
( op2(e22,h4(e12)) = e20
| h4(e10) = e20
| h1(e13) != e20 ),
inference(spm,[status(thm)],[c_0_688,c_0_689]) ).
cnf(c_0_710,plain,
( op2(e22,h4(e12)) = e22
| h1(e13) != e22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_631]),c_0_540]) ).
cnf(c_0_711,plain,
( h1(e13) = e20
| h1(e13) != e22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_690,c_0_691]),c_0_692]) ).
cnf(c_0_712,plain,
( h2(e13) = h4(e12)
| h4(e10) = h4(e12)
| h4(e10) != e20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_693,c_0_415]),c_0_694]) ).
cnf(c_0_713,plain,
( h4(e10) = e20
| h2(e13) = e20
| h1(e13) != e20 ),
inference(spm,[status(thm)],[c_0_561,c_0_573]) ).
cnf(c_0_714,plain,
( h2(e13) = e21
| h1(e13) = e20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_695,c_0_696]),c_0_697]) ).
cnf(c_0_715,plain,
( epred13_0
| op2(e23,op2(e23,e21)) != e21
| op2(e23,op2(e23,e21)) != e21
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_203]) ).
cnf(c_0_716,plain,
( epred14_0
| op2(e23,op2(e23,e21)) != e21 ),
inference(cn,[status(thm)],[c_0_698]) ).
fof(c_0_717,plain,
( epred15_0
<=> ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_718,plain,
( epred16_0
<=> ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_719,plain,
( epred17_0
<=> ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 ) ) ),
introduced(definition) ).
fof(c_0_720,plain,
( epred18_0
<=> ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 ) ) ),
introduced(definition) ).
cnf(c_0_721,plain,
( op1(e12,e11) != e12
| op1(e11,e12) != e11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_700]),c_0_282]) ).
cnf(c_0_722,plain,
( op1(e10,e10) = e12
| op1(e10,e10) != e11
| op1(e11,e12) != e11
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_701,c_0_702]) ).
cnf(c_0_723,plain,
( op1(e12,e10) = e11
| epred4_0
| op1(e11,e12) != e11 ),
inference(spm,[status(thm)],[c_0_703,c_0_704]) ).
cnf(c_0_724,plain,
( op1(e10,e10) = e10
| op1(e12,e10) != e10
| op1(e10,e12) != e11
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_705,c_0_706]) ).
cnf(c_0_725,plain,
( op1(e10,e13) = e13
| epred4_0
| op1(e12,e13) != e12 ),
inference(spm,[status(thm)],[c_0_244,c_0_163]) ).
cnf(c_0_726,plain,
( op1(e10,e13) = e10
| op1(e12,e10) != e10
| op1(e13,e10) != e13 ),
inference(spm,[status(thm)],[c_0_40,c_0_707]) ).
cnf(c_0_727,plain,
( op1(e13,e10) = e13
| epred4_0
| op1(e12,e13) != e12 ),
inference(spm,[status(thm)],[c_0_244,c_0_491]) ).
cnf(c_0_728,plain,
op1(e12,e10) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_729,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_730,plain,
h4(e10) != h2(e13),
inference(rw,[status(thm)],[c_0_708,c_0_347]) ).
cnf(c_0_731,plain,
( h4(e10) = e20
| h1(e13) != e22 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_710]),c_0_373]),c_0_711]) ).
cnf(c_0_732,plain,
( h2(e13) = h4(e12)
| h2(e13) = e20
| h1(e13) != e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_712,c_0_713]),c_0_435]) ).
cnf(c_0_733,plain,
( h2(e13) = e21
| h2(e13) = e20 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_656]),c_0_397]),c_0_714]) ).
cnf(c_0_734,plain,
( epred13_0
| op2(e23,op2(e23,e21)) != e21
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_715]) ).
cnf(c_0_735,plain,
( epred14_0
| op2(h4(e12),op2(h4(e12),e21)) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_716,c_0_174]),c_0_174]) ).
cnf(c_0_736,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_737,negated_conjecture,
~ ( ( epred15_0
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( epred16_0
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( epred17_0
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( epred18_0
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_717]),c_0_718]),c_0_719]),c_0_720]) ).
cnf(c_0_738,plain,
( op1(e11,e12) = e12
| op1(e12,e11) != e12 ),
inference(spm,[status(thm)],[c_0_721,c_0_82]) ).
cnf(c_0_739,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_740,plain,
( op1(e12,e10) = e11
| op1(e11,e12) != e11 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_722,c_0_683]),c_0_29]),c_0_723]) ).
cnf(c_0_741,plain,
( op1(e12,e10) != e10
| op1(e10,e12) != e11
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_40,c_0_724]) ).
cnf(c_0_742,plain,
( epred4_0
| op1(e12,e13) != e12
| op1(e12,e10) != e10 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_725,c_0_726]),c_0_59]),c_0_727]) ).
cnf(c_0_743,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_744,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_745,plain,
op1(e12,e10) != e13,
inference(rw,[status(thm)],[c_0_728,c_0_23]) ).
cnf(c_0_746,plain,
( op2(e20,h4(e12)) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| h1(e13) = e22 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_729,c_0_300]),c_0_174]) ).
cnf(c_0_747,plain,
( h2(e13) != e20
| h1(e13) != e22 ),
inference(spm,[status(thm)],[c_0_730,c_0_731]) ).
cnf(c_0_748,plain,
( h2(e13) = e20
| h1(e13) != e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_732,c_0_733]),c_0_306]),c_0_397]) ).
cnf(c_0_749,plain,
op2(e20,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_750,plain,
( epred13_0
| op2(h4(e12),op2(h4(e12),e21)) != e21 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_734,c_0_174]),c_0_174]),c_0_735]) ).
cnf(c_0_751,plain,
( op2(h4(e12),e21) = h4(e12)
| op2(h4(e12),e21) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_736,c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_481]),c_0_259]) ).
fof(c_0_752,negated_conjecture,
( ( h1(e10) != e23
| ~ epred15_0 )
& ( h1(e11) != e23
| ~ epred15_0 )
& ( h1(e12) != e23
| ~ epred15_0 )
& ( h1(e13) != e23
| ~ epred15_0 )
& ( h2(e10) != e23
| ~ epred16_0 )
& ( h2(e11) != e23
| ~ epred16_0 )
& ( h2(e12) != e23
| ~ epred16_0 )
& ( h2(e13) != e23
| ~ epred16_0 )
& ( h3(e10) != e23
| ~ epred17_0 )
& ( h3(e11) != e23
| ~ epred17_0 )
& ( h3(e12) != e23
| ~ epred17_0 )
& ( h3(e13) != e23
| ~ epred17_0 )
& ( h4(e10) != e23
| ~ epred18_0 )
& ( h4(e11) != e23
| ~ epred18_0 )
& ( h4(e12) != e23
| ~ epred18_0 )
& ( h4(e13) != e23
| ~ epred18_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_737])])]) ).
cnf(c_0_753,plain,
( op1(e10,e12) != e12
| op1(e12,e11) != e12 ),
inference(spm,[status(thm)],[c_0_323,c_0_738]) ).
cnf(c_0_754,plain,
( op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(sr,[status(thm)],[c_0_739,c_0_367]) ).
cnf(c_0_755,plain,
( op1(e11,e12) = e12
| op1(e12,e10) = e11 ),
inference(spm,[status(thm)],[c_0_740,c_0_82]) ).
cnf(c_0_756,plain,
( op1(e12,e10) != e10
| op1(e10,e12) != e11
| op1(e12,e13) != e12 ),
inference(spm,[status(thm)],[c_0_741,c_0_742]) ).
cnf(c_0_757,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_743,c_0_93]),c_0_179]) ).
cnf(c_0_758,plain,
( op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(sr,[status(thm)],[c_0_744,c_0_745]) ).
cnf(c_0_759,plain,
( epred8_0
| op2(e20,op2(e20,e21)) != e21
| op2(e20,op2(e20,e21)) != e21
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_286]) ).
cnf(c_0_760,plain,
( op2(e20,op2(e20,e21)) != e21
| op2(e20,op2(e20,e21)) != e21
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_761,plain,
op2(e20,e23) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_762,plain,
( op2(e20,h4(e12)) = e22
| op2(e20,e21) = e22
| h1(e13) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_746,c_0_600]),c_0_302]) ).
cnf(c_0_763,plain,
h1(e13) != e22,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_747,c_0_748]),c_0_711]) ).
cnf(c_0_764,plain,
op2(h4(e12),e21) != op2(e20,e21),
inference(rw,[status(thm)],[c_0_749,c_0_174]) ).
cnf(c_0_765,plain,
( op2(h4(e12),e21) = e22
| epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_750,c_0_751]),c_0_199]),c_0_230])]) ).
fof(c_0_766,plain,
( ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 ) )
=> epred17_0 ),
inference(split_equiv,[status(thm)],[c_0_719]) ).
cnf(c_0_767,negated_conjecture,
( h3(e13) != e23
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_752]) ).
cnf(c_0_768,plain,
h3(e13) = op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_769,plain,
( op1(e10,e13) = e12
| op1(e10,e10) = e12
| op1(e12,e11) != e12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_322]),c_0_753]) ).
cnf(c_0_770,plain,
op1(e11,e10) != op1(e11,e11),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_771,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_772,plain,
op1(e10,e11) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_773,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_774,plain,
( op1(e12,e11) = e11
| op1(e10,e11) = e11
| op1(e12,e11) = e10
| op1(e10,e11) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_638,c_0_754]),c_0_60]) ).
cnf(c_0_775,plain,
( op1(e12,e10) = e11
| op1(e10,e12) != e12 ),
inference(spm,[status(thm)],[c_0_323,c_0_755]) ).
cnf(c_0_776,plain,
( op1(e10,e12) = e12
| op1(e12,e10) != e10
| op1(e12,e13) != e12 ),
inference(spm,[status(thm)],[c_0_756,c_0_757]) ).
cnf(c_0_777,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(sr,[status(thm)],[c_0_758,c_0_452]) ).
cnf(c_0_778,plain,
( epred8_0
| op2(e20,op2(e20,e21)) != e21
| ~ epred9_0 ),
inference(cn,[status(thm)],[c_0_759]) ).
cnf(c_0_779,plain,
( op2(e20,op2(e20,e21)) != e21
| ~ epred8_0 ),
inference(cn,[status(thm)],[c_0_760]) ).
cnf(c_0_780,plain,
op2(e20,h4(e12)) != op2(e22,h4(e12)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_761,c_0_174]),c_0_174]) ).
cnf(c_0_781,plain,
( op2(e20,h4(e12)) = e22
| op2(e20,e21) = e22 ),
inference(sr,[status(thm)],[c_0_762,c_0_763]) ).
cnf(c_0_782,plain,
( epred13_0
| op2(e20,e21) != e22 ),
inference(spm,[status(thm)],[c_0_764,c_0_765]) ).
fof(c_0_783,plain,
( ( h3(e10) != e22
| h3(e10) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e10) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e10) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e10) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred17_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_766])])]) ).
cnf(c_0_784,plain,
h3(e10) = op2(op2(e22,e22),e22),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_785,plain,
h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_786,negated_conjecture,
( h3(e13) != h4(e12)
| ~ epred17_0 ),
inference(rw,[status(thm)],[c_0_767,c_0_174]) ).
cnf(c_0_787,plain,
h3(e13) = h4(e12),
inference(rw,[status(thm)],[c_0_768,c_0_201]) ).
cnf(c_0_788,plain,
( op1(e10,e13) = e12
| op1(e12,e11) != e12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_769]),c_0_282]) ).
cnf(c_0_789,plain,
( op1(e12,e11) = e10
| op1(e10,e11) = e10
| op1(e11,e10) != e10 ),
inference(spm,[status(thm)],[c_0_770,c_0_638]) ).
cnf(c_0_790,plain,
( op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[c_0_771,c_0_94]) ).
cnf(c_0_791,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e10
| op1(e10,e12) != e11 ),
inference(spm,[status(thm)],[c_0_772,c_0_773]) ).
cnf(c_0_792,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e12,e11) = e11 ),
inference(sr,[status(thm)],[c_0_774,c_0_639]) ).
cnf(c_0_793,plain,
( op1(e12,e11) = e12
| op1(e12,e10) != e11 ),
inference(spm,[status(thm)],[c_0_639,c_0_251]) ).
cnf(c_0_794,plain,
op1(e12,e10) = e11,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_775,c_0_776]),c_0_243]),c_0_777]) ).
cnf(c_0_795,plain,
( op2(e20,op2(e20,e21)) != e21
| ~ epred9_0 ),
inference(csr,[status(thm)],[c_0_778,c_0_779]) ).
cnf(c_0_796,plain,
( op2(e20,e21) = e22
| op2(e22,h4(e12)) != e22 ),
inference(spm,[status(thm)],[c_0_780,c_0_781]) ).
cnf(c_0_797,plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_798,plain,
op2(e21,e20) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_799,plain,
( op2(e22,h4(e12)) = e22
| h4(e10) = h4(e12) ),
inference(sr,[status(thm)],[c_0_657,c_0_550]) ).
cnf(c_0_800,plain,
epred13_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_781]),c_0_301]),c_0_782]) ).
cnf(c_0_801,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_802,plain,
( h2(e13) = e21
| epred9_0
| h2(e13) != e20
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_574,c_0_415]) ).
cnf(c_0_803,plain,
( epred17_0
| h3(e12) != e22
| h3(e11) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(split_conjunct,[status(thm)],[c_0_783]) ).
cnf(c_0_804,plain,
h3(e10) = e20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_784,c_0_201]),c_0_256]) ).
cnf(c_0_805,plain,
h3(e11) = e21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_785,c_0_201]),c_0_201]),c_0_199]),c_0_230]) ).
cnf(c_0_806,plain,
h3(e12) = e22,
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_807,negated_conjecture,
~ epred17_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_786,c_0_787])]) ).
cnf(c_0_808,plain,
( op1(e10,e13) = e13
| op1(e12,e13) = e10
| op1(e12,e11) != e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_788,c_0_400]),c_0_44]) ).
cnf(c_0_809,plain,
( op1(e12,e10) = e10
| op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e12,e11) = e10 ),
inference(spm,[status(thm)],[c_0_789,c_0_790]) ).
cnf(c_0_810,plain,
op1(e10,e10) != op1(e10,e11),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_811,plain,
( op1(e12,e11) = e11
| op1(e10,e11) = e10
| op1(e10,e12) != e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_791,c_0_792]),c_0_108]),c_0_29]),c_0_60]) ).
cnf(c_0_812,plain,
( op1(e10,e12) = e11
| op1(e12,e11) != e12 ),
inference(spm,[status(thm)],[c_0_721,c_0_610]) ).
cnf(c_0_813,plain,
op1(e12,e11) = e12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_793,c_0_794])]) ).
cnf(c_0_814,plain,
( op2(e22,h4(e12)) != e22
| ~ epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_795,c_0_796]),c_0_600])]) ).
cnf(c_0_815,plain,
( op2(e22,h4(e12)) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_797,c_0_201]),c_0_174]),c_0_301]) ).
cnf(c_0_816,plain,
op2(e22,e20) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_817,plain,
op2(e21,h4(e12)) != op2(e21,e20),
inference(rw,[status(thm)],[c_0_798,c_0_174]) ).
cnf(c_0_818,plain,
( h4(e10) = h4(e12)
| ~ epred12_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_799]),c_0_201])]),c_0_658]) ).
cnf(c_0_819,plain,
epred12_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_425,c_0_800])]) ).
cnf(c_0_820,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_821,plain,
op2(e21,e20) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_822,plain,
( h4(e10) = h4(e12)
| h4(e10) = e22
| h4(e10) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_801,c_0_174]),c_0_347]),c_0_174]),c_0_347]),c_0_174]),c_0_347]),c_0_174]),c_0_347]),c_0_174]),c_0_599]) ).
cnf(c_0_823,plain,
op2(e21,e20) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_824,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_825,plain,
( h1(e13) = e20
| h2(e13) != e20
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_604,c_0_644]) ).
cnf(c_0_826,plain,
( h2(e13) = e21
| epred8_0
| h2(e13) != e20
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_647,c_0_802]) ).
cnf(c_0_827,plain,
( op2(e20,h4(e12)) != h3(op1(e10,e13))
| op2(e22,h4(e12)) != h3(op1(e12,e13))
| op2(h4(e12),e20) != h3(op1(e13,e10))
| op2(h4(e12),e21) != h3(op1(e13,e11))
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e13)) != h4(e10) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_803,c_0_804]),c_0_805]),c_0_806]),c_0_804]),c_0_804]),c_0_300]),c_0_804]),c_0_805]),c_0_804]),c_0_806]),c_0_804]),c_0_787]),c_0_805]),c_0_804]),c_0_805]),c_0_805]),c_0_290]),c_0_805]),c_0_806]),c_0_805]),c_0_787]),c_0_347]),c_0_806]),c_0_804]),c_0_806]),c_0_805]),c_0_806]),c_0_806]),c_0_201]),c_0_23]),c_0_787]),c_0_806]),c_0_787]),c_0_787]),c_0_804]),c_0_787]),c_0_805]),c_0_787]),c_0_806]),c_0_256]),c_0_43]),c_0_804]),c_0_787]),c_0_787]),c_0_199]),c_0_230]),c_0_27]),c_0_805])]),c_0_807]) ).
cnf(c_0_828,plain,
( op1(e12,e13) = e10
| op1(e12,e11) != e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_788,c_0_808]),c_0_28]) ).
cnf(c_0_829,plain,
( op1(e10,e11) = e10
| op1(e10,e10) = e10
| op1(e12,e10) = e10 ),
inference(sr,[status(thm)],[c_0_809,c_0_639]) ).
cnf(c_0_830,plain,
( op1(e12,e11) = e11
| op1(e10,e10) != e10
| op1(e10,e12) != e11 ),
inference(spm,[status(thm)],[c_0_810,c_0_811]) ).
cnf(c_0_831,plain,
op1(e10,e12) = e11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_812,c_0_813])]) ).
cnf(c_0_832,plain,
op1(e10,e13) = e12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_788,c_0_813])]) ).
cnf(c_0_833,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_834,plain,
( op2(e22,e21) = e22
| op2(e22,e20) = e22
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_814,c_0_815]) ).
cnf(c_0_835,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_836,plain,
op2(e22,e20) != h4(e12),
inference(rw,[status(thm)],[c_0_816,c_0_201]) ).
cnf(c_0_837,plain,
op2(e21,e20) != h4(e10),
inference(rw,[status(thm)],[c_0_817,c_0_347]) ).
cnf(c_0_838,plain,
h4(e10) = h4(e12),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_818,c_0_819])]) ).
cnf(c_0_839,plain,
( op2(e21,e20) = h4(e12)
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(rw,[status(thm)],[c_0_820,c_0_174]) ).
cnf(c_0_840,plain,
op2(e21,e20) != e22,
inference(rw,[status(thm)],[c_0_821,c_0_629]) ).
cnf(c_0_841,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_842,plain,
( h4(e10) = e22
| h4(e10) = e20
| h2(e13) != h4(e12) ),
inference(spm,[status(thm)],[c_0_730,c_0_822]) ).
cnf(c_0_843,plain,
( h4(e10) = h4(e12)
| h1(e13) != h4(e12) ),
inference(spm,[status(thm)],[c_0_688,c_0_413]) ).
cnf(c_0_844,plain,
op2(e21,e20) != h2(e13),
inference(rw,[status(thm)],[c_0_823,c_0_290]) ).
cnf(c_0_845,plain,
( op2(e22,e20) = e20
| op2(e21,e20) = e20
| h1(e13) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_824,c_0_300]),c_0_174]),c_0_619]) ).
cnf(c_0_846,plain,
( epred8_0
| h2(e13) != e21
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_647,c_0_439]) ).
cnf(c_0_847,plain,
( h2(e13) = e21
| h1(e13) = e20
| h2(e13) != e20
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_825,c_0_826]) ).
cnf(c_0_848,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_849,plain,
( op2(e20,h4(e12)) != h3(op1(e10,e13))
| op2(e22,h4(e12)) != h3(op1(e12,e13))
| op2(h4(e12),e20) != h3(op1(e13,e10))
| op2(h4(e12),e21) != h3(op1(e13,e11))
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e10,e12)) != e21
| h3(op1(e11,e12)) != e22 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_827,c_0_600]),c_0_629]) ).
cnf(c_0_850,plain,
( op1(e12,e13) = e10
| op1(e12,e10) != e11 ),
inference(spm,[status(thm)],[c_0_828,c_0_793]) ).
cnf(c_0_851,plain,
op1(e13,e11) != e12,
inference(rw,[status(thm)],[c_0_250,c_0_813]) ).
cnf(c_0_852,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_853,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_829,c_0_794]),c_0_60]) ).
cnf(c_0_854,plain,
op1(e10,e10) != e10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_830,c_0_813]),c_0_29]),c_0_831])]) ).
cnf(c_0_855,plain,
op1(e11,e10) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_856,plain,
op1(e11,e13) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_832]),c_0_28]) ).
cnf(c_0_857,plain,
op1(e11,e12) = e12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_738,c_0_813])]) ).
cnf(c_0_858,plain,
( op1(e13,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(sr,[status(thm)],[c_0_833,c_0_745]) ).
cnf(c_0_859,plain,
( op2(e22,e20) != e22
| h1(e13) != h4(e12) ),
inference(spm,[status(thm)],[c_0_455,c_0_673]) ).
cnf(c_0_860,plain,
( op2(e22,e20) = e22
| h2(e13) = e21
| ~ epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_834]),c_0_302]) ).
cnf(c_0_861,plain,
( op2(h4(e12),e20) = h4(e12)
| op2(e21,e20) = h4(e12)
| h1(e13) = h4(e12) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_835,c_0_300]),c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_836]) ).
cnf(c_0_862,plain,
op2(e21,e20) != h4(e12),
inference(rw,[status(thm)],[c_0_837,c_0_838]) ).
cnf(c_0_863,plain,
( op2(e21,e20) = h4(e12)
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(sr,[status(thm)],[c_0_839,c_0_840]) ).
cnf(c_0_864,plain,
op2(e20,e21) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_865,plain,
( op2(e20,h4(e12)) = h4(e12)
| op2(e20,h4(e12)) = e22
| op2(e20,h4(e12)) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_841,c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_524]) ).
cnf(c_0_866,plain,
op2(e20,h4(e12)) != h4(e12),
inference(rw,[status(thm)],[c_0_385,c_0_838]) ).
cnf(c_0_867,plain,
op2(e22,e21) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_868,plain,
( h2(e13) != h4(e12)
| h1(e13) != h4(e12) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_842,c_0_843]),c_0_301]),c_0_435]) ).
cnf(c_0_869,plain,
( op2(e22,e20) = e20
| h1(e13) = e20
| h2(e13) != e20 ),
inference(spm,[status(thm)],[c_0_844,c_0_845]) ).
cnf(c_0_870,plain,
( h1(e13) = e20
| h2(e13) != e20
| ~ epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_825,c_0_846]),c_0_847]) ).
cnf(c_0_871,plain,
( op2(h4(e12),e21) = e22
| op2(e22,e21) = e22
| op2(e20,e21) = e22
| h2(e13) = e22 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_848,c_0_290]),c_0_174]) ).
cnf(c_0_872,plain,
( op2(e20,h4(e12)) != h3(op1(e10,e13))
| op2(e22,h4(e12)) != h3(op1(e12,e13))
| op2(h4(e12),e20) != h3(op1(e13,e10))
| op2(h4(e12),e21) != h3(op1(e13,e11))
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e13)) != h4(e12)
| h3(op1(e10,e12)) != e21
| h3(op1(e11,e12)) != e22 ),
inference(rw,[status(thm)],[c_0_849,c_0_838]) ).
cnf(c_0_873,plain,
op1(e12,e13) = e10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_850,c_0_794])]) ).
cnf(c_0_874,plain,
op1(e13,e10) = e12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_813])]) ).
cnf(c_0_875,plain,
op1(e13,e11) = e13,
inference(sr,[status(thm)],[c_0_404,c_0_851]) ).
cnf(c_0_876,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e10
| op1(e10,e10) = e10
| op1(e10,e11) != e10 ),
inference(spm,[status(thm)],[c_0_135,c_0_852]) ).
cnf(c_0_877,plain,
op1(e10,e11) = e10,
inference(sr,[status(thm)],[c_0_853,c_0_854]) ).
cnf(c_0_878,plain,
op1(e11,e10) != e13,
inference(rw,[status(thm)],[c_0_855,c_0_856]) ).
cnf(c_0_879,plain,
op1(e11,e10) != e12,
inference(rw,[status(thm)],[c_0_472,c_0_857]) ).
cnf(c_0_880,plain,
( op1(e13,e10) = e13
| op1(e10,e10) = e13
| op1(e11,e13) != e13 ),
inference(spm,[status(thm)],[c_0_855,c_0_858]) ).
cnf(c_0_881,plain,
( h2(e13) = e21
| h1(e13) != h4(e12)
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_859,c_0_860]) ).
cnf(c_0_882,plain,
( h2(e13) = e21
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_677,c_0_819])]) ).
cnf(c_0_883,plain,
( op2(h4(e12),e20) = h4(e12)
| h1(e13) = h4(e12) ),
inference(sr,[status(thm)],[c_0_861,c_0_862]) ).
cnf(c_0_884,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21 ),
inference(sr,[status(thm)],[c_0_863,c_0_862]) ).
cnf(c_0_885,plain,
op2(e20,h4(e12)) != op2(e20,e21),
inference(rw,[status(thm)],[c_0_864,c_0_174]) ).
cnf(c_0_886,plain,
( op2(e22,h4(e12)) = e20
| op2(e20,h4(e12)) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_689,c_0_838]),c_0_435]) ).
cnf(c_0_887,plain,
( op2(e20,h4(e12)) = e22
| op2(e20,h4(e12)) = e20 ),
inference(sr,[status(thm)],[c_0_865,c_0_866]) ).
cnf(c_0_888,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_889,plain,
op2(e22,e21) != h4(e12),
inference(rw,[status(thm)],[c_0_867,c_0_201]) ).
cnf(c_0_890,plain,
( h2(e13) != h4(e12)
| h4(e10) != h4(e12) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_604,c_0_645]),c_0_868]) ).
cnf(c_0_891,plain,
( h1(e13) = e20
| h2(e13) != e20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_869]),c_0_397]),c_0_660]),c_0_870]) ).
cnf(c_0_892,plain,
( op2(h4(e12),e21) = e22
| op2(e22,e21) = e22
| op2(e20,e21) = e22 ),
inference(sr,[status(thm)],[c_0_871,c_0_530]) ).
cnf(c_0_893,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_894,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e11,e10)) != op2(e21,e20)
| op2(h4(e12),e21) != h4(e12)
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e11,e11)) != h2(e13)
| op2(e20,h4(e12)) != e22
| op2(e22,h4(e12)) != e20
| op2(e22,e20) != e21
| op2(e22,e21) != e22 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_872,c_0_794]),c_0_805]),c_0_832]),c_0_806]),c_0_873]),c_0_804]),c_0_874]),c_0_806]),c_0_875]),c_0_787]),c_0_813]),c_0_806]),c_0_856]),c_0_787]),c_0_831]),c_0_805]),c_0_857]),c_0_806])]),c_0_622]) ).
cnf(c_0_895,plain,
op1(e11,e10) = e10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_876,c_0_877])]),c_0_878]),c_0_879]),c_0_854]) ).
cnf(c_0_896,plain,
op1(e10,e10) = e13,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_880,c_0_874]),c_0_28]),c_0_856])]) ).
cnf(c_0_897,plain,
op1(e11,e11) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_754,c_0_813]),c_0_29]),c_0_877]),c_0_60]) ).
cnf(c_0_898,plain,
( h2(e13) = e21
| h1(e13) != h4(e12) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_881,c_0_632]),c_0_882]) ).
cnf(c_0_899,plain,
( h1(e13) = h4(e12)
| op2(e22,e21) != e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_883]),c_0_301]) ).
cnf(c_0_900,plain,
( op2(e21,e20) = e20
| op2(e22,e20) != e21 ),
inference(spm,[status(thm)],[c_0_563,c_0_884]) ).
cnf(c_0_901,plain,
( op2(e22,h4(e12)) = e20
| op2(e20,e21) != e20 ),
inference(spm,[status(thm)],[c_0_885,c_0_886]) ).
cnf(c_0_902,plain,
( op2(e20,h4(e12)) = e22
| op2(e20,e21) != e20 ),
inference(spm,[status(thm)],[c_0_885,c_0_887]) ).
cnf(c_0_903,plain,
( op2(h4(e12),e21) = h4(e12)
| op2(e20,e21) = h4(e12)
| h2(e13) = h4(e12) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_888,c_0_174]),c_0_290]),c_0_174]),c_0_174]),c_0_174]),c_0_174]),c_0_889]) ).
cnf(c_0_904,plain,
h2(e13) != h4(e12),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_890,c_0_838])]) ).
cnf(c_0_905,plain,
( op2(h4(e12),e21) = e22
| op2(e20,e21) != h4(e12) ),
inference(spm,[status(thm)],[c_0_764,c_0_751]) ).
cnf(c_0_906,plain,
( op2(h4(e12),e20) = e22
| h1(e13) = e20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_651]),c_0_891]) ).
cnf(c_0_907,plain,
( op2(h4(e12),e20) = h4(e12)
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_892]),c_0_301]) ).
cnf(c_0_908,plain,
( op2(h4(e12),e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| h1(e13) = e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_893,c_0_300]),c_0_174]) ).
cnf(c_0_909,plain,
( epred11_0
| op2(e22,op2(e22,e22)) != e22
| op2(e22,op2(e22,e22)) != e22
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_311]) ).
cnf(c_0_910,plain,
( op2(h4(e12),e21) != h4(e12)
| op2(e20,e21) != e20
| op2(e22,e20) != e21
| op2(e22,e21) != e22 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_894,c_0_877]),c_0_804]),c_0_895]),c_0_804]),c_0_896]),c_0_787]),c_0_897]),c_0_805]),c_0_898]),c_0_899]),c_0_900]),c_0_901]),c_0_902]) ).
cnf(c_0_911,plain,
( op2(h4(e12),e21) = h4(e12)
| op2(e20,e21) = h4(e12) ),
inference(sr,[status(thm)],[c_0_903,c_0_904]) ).
cnf(c_0_912,plain,
( op2(e20,e21) != h4(e12)
| op2(e22,e21) != e22 ),
inference(spm,[status(thm)],[c_0_595,c_0_905]) ).
cnf(c_0_913,plain,
( op2(e20,e21) = e20
| h1(e13) = e20
| op2(e22,h4(e12)) != e20 ),
inference(spm,[status(thm)],[c_0_780,c_0_572]) ).
cnf(c_0_914,plain,
( op2(e22,e21) = e22
| op2(e20,e21) = e22
| h1(e13) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_907]),c_0_301]) ).
cnf(c_0_915,plain,
( op2(e21,e20) = e21
| op2(e22,e20) = e21
| h1(e13) = e21 ),
inference(sr,[status(thm)],[c_0_908,c_0_625]) ).
cnf(c_0_916,plain,
( epred11_0
| op2(e22,op2(e22,e22)) != e22
| ~ epred12_0 ),
inference(cn,[status(thm)],[c_0_909]) ).
cnf(c_0_917,plain,
( op2(e20,e21) != e20
| op2(e22,e20) != e21
| op2(e22,e21) != e22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_910,c_0_911]),c_0_912]) ).
cnf(c_0_918,plain,
( op2(e22,e21) = e22
| h1(e13) = e20
| op2(e22,h4(e12)) != e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_914]),c_0_373]) ).
cnf(c_0_919,plain,
( op2(e22,e20) != e21
| h1(e13) != e20 ),
inference(spm,[status(thm)],[c_0_561,c_0_900]) ).
cnf(c_0_920,plain,
( op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference(sr,[status(thm)],[c_0_915,c_0_533]) ).
cnf(c_0_921,plain,
( epred11_0
| op2(e22,h4(e12)) != e22
| ~ epred12_0 ),
inference(rw,[status(thm)],[c_0_916,c_0_201]) ).
cnf(c_0_922,plain,
( op2(e22,h4(e12)) != e20
| op2(e22,e20) != e21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_917,c_0_913]),c_0_918]),c_0_919]) ).
cnf(c_0_923,plain,
( op2(e22,e21) = e22
| h1(e13) = e20
| ~ epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_779,c_0_914]),c_0_600])]) ).
cnf(c_0_924,plain,
( op2(e22,e20) = e21
| h1(e13) = e20
| ~ epred8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_920]),c_0_397]) ).
cnf(c_0_925,plain,
( op2(e20,op2(e20,e20)) != e20
| op2(e20,op2(e20,e20)) != e20
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_926,plain,
( epred11_0
| op2(e22,h4(e12)) != e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_921,c_0_819])]) ).
cnf(c_0_927,plain,
( op2(e22,h4(e12)) = e22
| op2(e22,e20) != e21 ),
inference(spm,[status(thm)],[c_0_922,c_0_583]) ).
cnf(c_0_928,plain,
( op2(e22,e20) = e21
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_424,c_0_819])]) ).
cnf(c_0_929,plain,
( h1(e13) = e20
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_917,c_0_644]),c_0_923]),c_0_924]) ).
cnf(c_0_930,plain,
( op2(e20,op2(e20,e20)) != e20
| ~ epred8_0 ),
inference(cn,[status(thm)],[c_0_925]) ).
cnf(c_0_931,plain,
epred11_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_926,c_0_927]),c_0_928]) ).
cnf(c_0_932,plain,
( h1(e13) = e20
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_929,c_0_676]) ).
cnf(c_0_933,plain,
( op2(e20,h1(e13)) != e20
| ~ epred8_0 ),
inference(rw,[status(thm)],[c_0_930,c_0_300]) ).
cnf(c_0_934,plain,
epred8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_676,c_0_931])]) ).
cnf(c_0_935,plain,
h1(e13) = e20,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_932,c_0_931])]) ).
cnf(c_0_936,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_933,c_0_934])]),c_0_935]),c_0_300]),c_0_935])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : ALG120+1 : TPTP v8.2.0. Released v2.7.0.
% 0.02/0.09 % Command : run_E %s %d THM
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sat May 18 23:36:22 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.68/0.85 # Version: 3.1.0
% 3.68/0.85 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.68/0.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.68/0.85 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.68/0.85 # Starting new_bool_3 with 300s (1) cores
% 3.68/0.85 # Starting new_bool_1 with 300s (1) cores
% 3.68/0.85 # Starting sh5l with 300s (1) cores
% 3.68/0.85 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 24631 completed with status 0
% 3.68/0.85 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 3.68/0.85 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.68/0.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.68/0.85 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.68/0.85 # No SInE strategy applied
% 3.68/0.85 # Search class: FGHSF-SMLM21-SFFFFFNN
% 3.68/0.85 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 3.68/0.85 # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 901s (1) cores
% 3.68/0.85 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 3.68/0.85 # Starting new_bool_3 with 151s (1) cores
% 3.68/0.85 # Starting new_bool_1 with 151s (1) cores
% 3.68/0.85 # Starting sh5l with 146s (1) cores
% 3.68/0.85 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 24637 completed with status 0
% 3.68/0.85 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 3.68/0.85 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.68/0.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.68/0.85 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.68/0.85 # No SInE strategy applied
% 3.68/0.85 # Search class: FGHSF-SMLM21-SFFFFFNN
% 3.68/0.85 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 3.68/0.85 # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 901s (1) cores
% 3.68/0.85 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 3.68/0.85 # Preprocessing time : 0.010 s
% 3.68/0.85 # Presaturation interreduction done
% 3.68/0.85
% 3.68/0.85 # Proof found!
% 3.68/0.85 # SZS status Theorem
% 3.68/0.85 # SZS output start CNFRefutation
% See solution above
% 3.68/0.86 # Parsed axioms : 18
% 3.68/0.86 # Removed by relevancy pruning/SinE : 0
% 3.68/0.86 # Initial clauses : 1074
% 3.68/0.86 # Removed in clause preprocessing : 8
% 3.68/0.86 # Initial clauses in saturation : 1066
% 3.68/0.86 # Processed clauses : 9795
% 3.68/0.86 # ...of these trivial : 408
% 3.68/0.86 # ...subsumed : 6948
% 3.68/0.86 # ...remaining for further processing : 2438
% 3.68/0.86 # Other redundant clauses eliminated : 0
% 3.68/0.86 # Clauses deleted for lack of memory : 0
% 3.68/0.86 # Backward-subsumed : 1105
% 3.68/0.86 # Backward-rewritten : 758
% 3.68/0.86 # Generated clauses : 21794
% 3.68/0.86 # ...of the previous two non-redundant : 20078
% 3.68/0.86 # ...aggressively subsumed : 0
% 3.68/0.86 # Contextual simplify-reflections : 346
% 3.68/0.86 # Paramodulations : 21489
% 3.68/0.86 # Factorizations : 194
% 3.68/0.86 # NegExts : 0
% 3.68/0.86 # Equation resolutions : 0
% 3.68/0.86 # Disequality decompositions : 0
% 3.68/0.86 # Total rewrite steps : 10817
% 3.68/0.86 # ...of those cached : 10763
% 3.68/0.86 # Propositional unsat checks : 0
% 3.68/0.86 # Propositional check models : 0
% 3.68/0.86 # Propositional check unsatisfiable : 0
% 3.68/0.86 # Propositional clauses : 0
% 3.68/0.86 # Propositional clauses after purity: 0
% 3.68/0.86 # Propositional unsat core size : 0
% 3.68/0.86 # Propositional preprocessing time : 0.000
% 3.68/0.86 # Propositional encoding time : 0.000
% 3.68/0.86 # Propositional solver time : 0.000
% 3.68/0.86 # Success case prop preproc time : 0.000
% 3.68/0.86 # Success case prop encoding time : 0.000
% 3.68/0.86 # Success case prop solver time : 0.000
% 3.68/0.86 # Current number of processed clauses : 128
% 3.68/0.86 # Positive orientable unit clauses : 49
% 3.68/0.86 # Positive unorientable unit clauses: 0
% 3.68/0.86 # Negative unit clauses : 55
% 3.68/0.86 # Non-unit-clauses : 24
% 3.68/0.86 # Current number of unprocessed clauses: 354
% 3.68/0.86 # ...number of literals in the above : 1908
% 3.68/0.86 # Current number of archived formulas : 0
% 3.68/0.86 # Current number of archived clauses : 2310
% 3.68/0.86 # Clause-clause subsumption calls (NU) : 209576
% 3.68/0.86 # Rec. Clause-clause subsumption calls : 55491
% 3.68/0.86 # Non-unit clause-clause subsumptions : 4014
% 3.68/0.86 # Unit Clause-clause subsumption calls : 5979
% 3.68/0.86 # Rewrite failures with RHS unbound : 0
% 3.68/0.86 # BW rewrite match attempts : 39
% 3.68/0.86 # BW rewrite match successes : 39
% 3.68/0.86 # Condensation attempts : 0
% 3.68/0.86 # Condensation successes : 0
% 3.68/0.86 # Termbank termtop insertions : 388748
% 3.68/0.86 # Search garbage collected termcells : 5952
% 3.68/0.86
% 3.68/0.86 # -------------------------------------------------
% 3.68/0.86 # User time : 0.453 s
% 3.68/0.86 # System time : 0.012 s
% 3.68/0.86 # Total time : 0.464 s
% 3.68/0.86 # Maximum resident set size: 4008 pages
% 3.68/0.86
% 3.68/0.86 # -------------------------------------------------
% 3.68/0.86 # User time : 2.158 s
% 3.68/0.86 # System time : 0.042 s
% 3.68/0.86 # Total time : 2.200 s
% 3.68/0.86 # Maximum resident set size: 2264 pages
% 3.68/0.86 % E---3.1 exiting
% 3.68/0.86 % E exiting
%------------------------------------------------------------------------------