TSTP Solution File: ALG112+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ALG112+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 18:01:49 EDT 2024
% Result : Theorem 8.59s 1.51s
% Output : CNFRefutation 8.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 20
% Syntax : Number of formulae : 445 ( 144 unt; 0 def)
% Number of atoms : 3971 (3682 equ)
% Maximal formula atoms : 1280 ( 8 avg)
% Number of connectives : 5453 (1927 ~;2660 |; 857 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 7 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(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(e11,e11),e11)
& e12 = op1(e11,e11)
& e13 = op1(e11,op1(op1(e11,e11),e11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
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(ax13,axiom,
( e20 = op2(op2(e21,e21),e21)
& e22 = op2(e21,e21)
& e23 = op2(e21,op2(op2(e21,e21),e21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(ax10,axiom,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 )
| ( op1(op1(e10,e13),op1(e10,e13)) = e10
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(ax11,axiom,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 )
| ( op2(op2(e20,e23),op2(e20,e23)) = e20
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
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(ax7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
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(ax8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
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(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(e11) = e22
& h3(e10) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = op2(e22,op2(op2(e22,e22),e22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(c_0_14,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]) ).
cnf(c_0_15,plain,
e10 = op1(op1(e11,e11),e11),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_16,plain,
e12 = op1(e11,e11),
inference(split_conjunct,[status(thm)],[ax12]) ).
fof(c_0_17,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_18,plain,
( epred1_0
<=> ( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 ) ) ),
introduced(definition) ).
fof(c_0_19,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_14]) ).
cnf(c_0_20,plain,
e13 = op1(e11,op1(op1(e11,e11),e11)),
inference(split_conjunct,[status(thm)],[ax12]) ).
cnf(c_0_21,plain,
op1(e12,e11) = e10,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_22,plain,
( epred2_0
<=> ( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 ) ) ),
introduced(definition) ).
fof(c_0_23,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_17]) ).
cnf(c_0_24,plain,
e20 = op2(op2(e21,e21),e21),
inference(split_conjunct,[status(thm)],[ax13]) ).
cnf(c_0_25,plain,
e22 = op2(e21,e21),
inference(split_conjunct,[status(thm)],[ax13]) ).
fof(c_0_26,axiom,
( epred1_0
| ( op1(op1(e10,e13),op1(e10,e13)) = e10
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(apply_def,[status(thm)],[ax10,c_0_18]) ).
cnf(c_0_27,plain,
op1(e10,e11) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
op1(e11,e11) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
op1(e11,e10) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
op1(e11,e10) = e13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_16]),c_0_21]) ).
cnf(c_0_31,plain,
op1(e10,e11) != op1(e11,e11),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_32,axiom,
( epred2_0
| ( op2(op2(e20,e23),op2(e20,e23)) = e20
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(apply_def,[status(thm)],[ax11,c_0_22]) ).
cnf(c_0_33,plain,
op2(e22,e21) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
op2(e22,e21) = e20,
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_35,plain,
e23 = op2(e21,op2(op2(e21,e21),e21)),
inference(split_conjunct,[status(thm)],[ax13]) ).
fof(c_0_36,plain,
( ( op1(op1(e10,e13),op1(e10,e13)) = e10
| epred1_0 )
& ( op1(op1(e11,e13),op1(e11,e13)) = e11
| epred1_0 )
& ( op1(op1(e12,e13),op1(e12,e13)) = e12
| epred1_0 )
& ( op1(op1(e13,e13),op1(e13,e13)) = e13
| epred1_0 ) ),
inference(distribute,[status(thm)],[c_0_26]) ).
cnf(c_0_37,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_38,plain,
op1(e10,e11) != e10,
inference(rw,[status(thm)],[c_0_27,c_0_21]) ).
cnf(c_0_39,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_40,plain,
op1(e11,e13) != e12,
inference(rw,[status(thm)],[c_0_28,c_0_16]) ).
cnf(c_0_41,plain,
op1(e11,e13) != e13,
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_42,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(fof_simplification,[status(thm)],[ax7]) ).
cnf(c_0_43,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_44,plain,
op1(e10,e11) != e12,
inference(rw,[status(thm)],[c_0_31,c_0_16]) ).
cnf(c_0_45,plain,
op1(e12,e11) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_46,plain,
( ( op2(op2(e20,e23),op2(e20,e23)) = e20
| epred2_0 )
& ( op2(op2(e21,e23),op2(e21,e23)) = e21
| epred2_0 )
& ( op2(op2(e22,e23),op2(e22,e23)) = e22
| epred2_0 )
& ( op2(op2(e23,e23),op2(e23,e23)) = e23
| epred2_0 ) ),
inference(distribute,[status(thm)],[c_0_32]) ).
cnf(c_0_47,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_48,plain,
op2(e22,e23) != e20,
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_49,plain,
op2(e20,e20) != op2(e21,e20),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_50,plain,
op2(e21,e20) = e23,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_25]),c_0_34]) ).
cnf(c_0_51,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e10
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_52,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_53,plain,
( op1(op1(e11,e13),op1(e11,e13)) = e11
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_54,plain,
( op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
fof(c_0_55,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(fof_nnf,[status(thm)],[c_0_42]) ).
cnf(c_0_56,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_57,plain,
op1(e12,e12) != e10,
inference(rw,[status(thm)],[c_0_45,c_0_21]) ).
cnf(c_0_58,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_59,plain,
( op2(e23,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(sr,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_60,plain,
op2(e20,e20) != e23,
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_61,plain,
op2(e20,e21) != op2(e22,e21),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_62,plain,
op2(e20,e21) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_63,plain,
( epred1_0
=> ( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 ) ) ),
inference(split_equiv,[status(thm)],[c_0_18]) ).
cnf(c_0_64,plain,
( op1(e10,e12) = e10
| op1(e10,e10) = e10
| epred1_0 ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_65,plain,
( op1(e11,e13) = e11
| op1(e10,e10) = e11
| epred1_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_66,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,plain,
( op1(e10,e12) = e12
| op1(e10,e10) = e12
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_56]),c_0_57]) ).
cnf(c_0_68,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_69,plain,
op2(e20,e20) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_70,plain,
( op2(e21,e23) = e20
| op2(e20,e23) = e20
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_71,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_72,plain,
op2(e20,e21) != e20,
inference(rw,[status(thm)],[c_0_61,c_0_34]) ).
cnf(c_0_73,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_74,plain,
op2(e20,e21) != e22,
inference(rw,[status(thm)],[c_0_62,c_0_25]) ).
cnf(c_0_75,plain,
op2(e22,e21) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_76,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(fof_simplification,[status(thm)],[ax8]) ).
fof(c_0_77,plain,
( ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).
cnf(c_0_78,plain,
( op1(e11,e13) = e11
| op1(e10,e12) = e10
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_79,plain,
( op1(e10,e12) = e12
| op1(e11,e13) = e11
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_67]),c_0_68]) ).
cnf(c_0_80,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_81,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e20
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_82,plain,
( op2(e21,e23) = e20
| epred2_0
| op2(e20,e20) != e20 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_83,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e20) = e20 ),
inference(sr,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_84,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e20) = e22 ),
inference(sr,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_85,plain,
op2(e22,e22) != e20,
inference(rw,[status(thm)],[c_0_75,c_0_34]) ).
fof(c_0_86,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(fof_nnf,[status(thm)],[c_0_76]) ).
cnf(c_0_87,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_88,plain,
( op1(e11,e13) = e11
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_89,plain,
op1(e11,e11) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_90,plain,
op1(e11,e10) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_91,plain,
( epred2_0
=> ( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 ) ) ),
inference(split_equiv,[status(thm)],[c_0_22]) ).
cnf(c_0_92,plain,
( op2(op2(e21,e23),op2(e21,e23)) = e21
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_93,plain,
( op2(e21,e23) = e20
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_70]),c_0_82]) ).
cnf(c_0_94,plain,
( op2(e20,e22) = e20
| op2(e20,e20) = e20
| epred2_0 ),
inference(spm,[status(thm)],[c_0_81,c_0_83]) ).
cnf(c_0_95,plain,
( op2(e20,e22) = e22
| op2(e20,e20) = e22
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_84]),c_0_85]) ).
cnf(c_0_96,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_97,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_30]),c_0_30]),c_0_16]),c_0_16]) ).
cnf(c_0_98,plain,
epred1_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_88]),c_0_16]),c_0_68]) ).
cnf(c_0_99,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_100,plain,
op1(e11,e12) != e12,
inference(rw,[status(thm)],[c_0_89,c_0_16]) ).
cnf(c_0_101,plain,
op1(e11,e12) != e13,
inference(rw,[status(thm)],[c_0_90,c_0_30]) ).
cnf(c_0_102,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_103,plain,
( ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])]) ).
cnf(c_0_104,plain,
( op2(e20,e20) = e21
| epred2_0 ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_105,plain,
( op2(e20,e20) = e22
| op2(e20,e20) = e20
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_106,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_107,plain,
op2(e21,e20) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_108,plain,
op1(e12,e10) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_109,plain,
op1(e11,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_110,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_111,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_112,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_113,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e13,e13) = e11
| op1(e12,e12) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]) ).
cnf(c_0_114,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
cnf(c_0_115,plain,
op1(e11,e13) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_116,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_21]),c_0_66]) ).
cnf(c_0_117,plain,
( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_118,plain,
( op2(e20,e20) = e20
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]) ).
cnf(c_0_119,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_120,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_121,plain,
op2(e21,e22) != e23,
inference(rw,[status(thm)],[c_0_107,c_0_50]) ).
cnf(c_0_122,plain,
op2(e22,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_123,plain,
op2(e21,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_124,plain,
op2(e21,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_125,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_126,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_127,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_128,plain,
op1(e12,e10) != e10,
inference(rw,[status(thm)],[c_0_108,c_0_21]) ).
cnf(c_0_129,plain,
( op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11
| op1(e11,e13) != e11 ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_130,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_30]),c_0_16]),c_0_112]),c_0_68]) ).
cnf(c_0_131,plain,
( op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11
| op1(e10,e10) = e11 ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_132,plain,
( op1(e12,e12) = e11
| op1(e12,e10) = e11
| op1(e11,e13) != e11 ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_133,plain,
( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(e23,e23) = e21
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_50]),c_0_50]) ).
cnf(c_0_134,plain,
epred2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_118]),c_0_119]) ).
cnf(c_0_135,plain,
op2(e23,e21) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_136,plain,
( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e20,e22) = e23 ),
inference(sr,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_137,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_138,plain,
op2(e23,e21) != e20,
inference(rw,[status(thm)],[c_0_122,c_0_34]) ).
cnf(c_0_139,plain,
op2(e23,e21) != e22,
inference(rw,[status(thm)],[c_0_123,c_0_25]) ).
cnf(c_0_140,plain,
( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_141,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_142,plain,
op2(e22,e20) != e23,
inference(rw,[status(thm)],[c_0_124,c_0_50]) ).
cnf(c_0_143,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_144,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_145,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_146,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_147,plain,
op1(e10,e13) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_148,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_149,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e10,e10) = e12
| op1(e13,e13) = e11
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_30]),c_0_30]),c_0_21]),c_0_21]) ).
cnf(c_0_150,plain,
( op1(e13,e10) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_30]),c_0_127]),c_0_128]) ).
cnf(c_0_151,plain,
( op1(e11,e12) = e11
| op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11 ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_152,plain,
op1(e10,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_153,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_131]),c_0_130]) ).
cnf(c_0_154,plain,
( op1(e11,e12) = e11
| op1(e12,e10) = e11
| op1(e12,e12) = e11 ),
inference(spm,[status(thm)],[c_0_132,c_0_130]) ).
cnf(c_0_155,plain,
op2(e22,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_156,plain,
( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_157,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(e23,e23) = e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_134])]) ).
cnf(c_0_158,plain,
( op2(e22,e22) = e23
| op2(e20,e22) = e23
| op2(e23,e21) != e23 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_159,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).
cnf(c_0_160,plain,
( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(e22,e22) = e21
| op2(e23,e23) = e21
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_50]),c_0_50]),c_0_25]),c_0_25]) ).
cnf(c_0_161,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_34]),c_0_142]),c_0_143]) ).
cnf(c_0_162,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e20) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_34]),c_0_96]) ).
cnf(c_0_163,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_164,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_30]),c_0_146]) ).
cnf(c_0_165,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11
| op1(e11,e13) != e11 ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_166,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e13,e13) = e11
| op1(e10,e10) = e12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_98])]) ).
cnf(c_0_167,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_168,plain,
op1(e12,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_169,plain,
( op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e11,e12) = e11
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_66]) ).
cnf(c_0_170,plain,
( op1(e11,e12) = e11
| op1(e12,e12) = e11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).
cnf(c_0_171,plain,
( op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20
| op2(e22,e23) != e23 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_172,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(e22,e22) = e23
| op2(e20,e22) = e23
| op2(e23,e23) = e21
| op2(e23,e23) = e23 ),
inference(spm,[status(thm)],[c_0_157,c_0_136]) ).
cnf(c_0_173,plain,
( op2(e23,e21) = e21
| op2(e20,e22) = e23
| op2(e22,e22) = e23 ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_174,plain,
op2(e21,e20) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_175,plain,
( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(e23,e23) = e21
| op2(e22,e22) = e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_134])]) ).
cnf(c_0_176,plain,
( op2(e22,e22) = e22
| op2(e22,e20) = e22
| op2(e22,e22) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_177,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_178,plain,
( op1(e12,e10) = e12
| op1(e10,e10) = e12
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_164]),c_0_80]) ).
cnf(c_0_179,plain,
( op1(e11,e12) = e11
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(spm,[status(thm)],[c_0_165,c_0_130]) ).
cnf(c_0_180,plain,
( op1(e11,e12) = e11
| op1(e10,e10) = e12
| op1(e13,e13) = e11
| op1(e10,e10) = e11 ),
inference(spm,[status(thm)],[c_0_166,c_0_114]) ).
cnf(c_0_181,plain,
( op1(e13,e11) = e13
| op1(e10,e11) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_16]),c_0_21]),c_0_146]),c_0_127]) ).
cnf(c_0_182,plain,
( op1(e10,e10) = e10
| op1(e11,e12) = e11
| op1(e13,e11) = e11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]) ).
cnf(c_0_183,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_184,plain,
( op2(e22,e22) = e23
| op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22 ),
inference(spm,[status(thm)],[c_0_171,c_0_161]) ).
cnf(c_0_185,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e21
| op2(e20,e22) = e23
| op2(e22,e22) = e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_25]),c_0_163]) ).
cnf(c_0_186,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_187,plain,
op2(e21,e23) != e23,
inference(rw,[status(thm)],[c_0_174,c_0_50]) ).
cnf(c_0_188,plain,
( op2(e22,e20) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]) ).
cnf(c_0_189,plain,
op1(e10,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_190,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e11,e12) = e11
| op1(e12,e10) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_68]),c_0_66]) ).
cnf(c_0_191,plain,
( op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e11,e12) = e11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_180]),c_0_130]) ).
cnf(c_0_192,plain,
( op1(e11,e12) = e11
| op1(e10,e10) = e10
| op1(e10,e11) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_112]) ).
cnf(c_0_193,plain,
op2(e22,e22) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_194,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21 ),
inference(sr,[status(thm)],[c_0_183,c_0_48]) ).
cnf(c_0_195,plain,
op2(e23,e21) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_196,plain,
( op2(e20,e22) = e23
| op2(e23,e23) = e21
| op2(e22,e22) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_143]),c_0_177]),c_0_163]) ).
cnf(c_0_197,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e20,e23) = e23 ),
inference(sr,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_198,plain,
( op2(e23,e23) = e21
| op2(e22,e22) = e22
| op2(e22,e20) = e22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_188]),c_0_162]) ).
cnf(c_0_199,plain,
( op1(e12,e10) = e12
| op1(e11,e12) = e11
| op1(e10,e11) = e11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_170]) ).
cnf(c_0_200,plain,
( op1(e10,e11) = e13
| op1(e11,e12) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_66]),c_0_80]) ).
cnf(c_0_201,plain,
op2(e21,e21) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_202,plain,
( op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e22) != e23 ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_203,plain,
( op2(e22,e22) = e23
| op2(e20,e22) = e23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_173]) ).
cnf(c_0_204,plain,
( op2(e22,e20) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e23
| op2(e20,e23) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_177]) ).
cnf(c_0_205,plain,
( op1(e11,e12) = e11
| op1(e10,e10) = e11
| op1(e12,e10) != e12 ),
inference(spm,[status(thm)],[c_0_152,c_0_191]) ).
cnf(c_0_206,plain,
( op1(e11,e12) = e11
| op1(e12,e10) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_112]) ).
cnf(c_0_207,plain,
op1(e12,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_208,plain,
op1(e11,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_209,plain,
op2(e21,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_210,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_211,plain,
op2(e21,e23) != e22,
inference(rw,[status(thm)],[c_0_201,c_0_25]) ).
cnf(c_0_212,plain,
op2(e22,e20) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_213,plain,
( op2(e20,e22) = e23
| op2(e22,e23) = e21
| op2(e22,e23) = e22 ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_214,plain,
( op2(e20,e23) = e23
| op2(e22,e22) = e22
| op2(e22,e20) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_204]),c_0_163]) ).
cnf(c_0_215,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_216,plain,
( op1(e10,e12) = e12
| op1(e10,e10) = e12
| op1(e10,e12) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_56]),c_0_80]) ).
cnf(c_0_217,plain,
( op1(e10,e10) = e11
| op1(e11,e12) = e11 ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_218,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_219,plain,
op1(e13,e11) != e10,
inference(rw,[status(thm)],[c_0_207,c_0_21]) ).
cnf(c_0_220,plain,
op1(e13,e11) != e12,
inference(rw,[status(thm)],[c_0_208,c_0_16]) ).
cnf(c_0_221,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_222,plain,
op2(e23,e20) != e23,
inference(rw,[status(thm)],[c_0_209,c_0_50]) ).
cnf(c_0_223,plain,
op2(e20,e21) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_224,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_225,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_226,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e20,e23) = e22 ),
inference(sr,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_227,plain,
( op2(e22,e23) = e21
| op2(e20,e22) = e23
| op2(e22,e20) != e22 ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_228,plain,
( op2(e20,e22) = e23
| op2(e22,e20) = e22
| op2(e20,e23) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_203]),c_0_163]) ).
cnf(c_0_229,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(e10,e10) = e12
| op1(e13,e13) = e11
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_30]),c_0_30]),c_0_21]),c_0_21]) ).
cnf(c_0_230,plain,
op1(e10,e12) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_231,plain,
( op1(e11,e12) = e11
| op1(e10,e12) = e10
| op1(e10,e12) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_68]),c_0_66]) ).
cnf(c_0_232,plain,
op1(e10,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_233,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_218,c_0_219]),c_0_220]) ).
cnf(c_0_234,plain,
( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_235,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23 ),
inference(sr,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_236,plain,
( op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20
| op2(e20,e21) != e23 ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_237,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_225,c_0_72]),c_0_74]) ).
cnf(c_0_238,plain,
( op2(e22,e23) = e22
| op2(e20,e23) = e22
| op2(e22,e23) = e23
| op2(e20,e23) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_226]),c_0_163]) ).
cnf(c_0_239,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e22,e23) = e21 ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_240,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(e13,e13) = e11
| op1(e10,e10) = e12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_98])]) ).
cnf(c_0_241,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_114]) ).
cnf(c_0_242,plain,
( op1(e13,e11) = e11
| op1(e10,e11) != e13 ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_243,plain,
( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(e22,e22) = e21
| op2(e23,e23) = e21
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_50]),c_0_50]),c_0_25]),c_0_25]) ).
cnf(c_0_244,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e22,e23) != e23 ),
inference(spm,[status(thm)],[c_0_155,c_0_235]) ).
cnf(c_0_245,plain,
op2(e20,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_246,plain,
( op2(e20,e22) = e23
| op2(e23,e23) = e21
| op2(e23,e23) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_203]),c_0_177]) ).
cnf(c_0_247,plain,
( op2(e20,e21) = e21
| op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22 ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_248,plain,
( op2(e20,e22) = e23
| op2(e20,e23) = e23
| op2(e20,e23) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_106]),c_0_177]) ).
cnf(c_0_249,plain,
op1(e13,e11) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_250,plain,
( op1(e11,e12) = e11
| op1(e10,e10) = e12
| op1(e13,e13) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_57]) ).
cnf(c_0_251,plain,
( op1(e11,e12) = e11
| op1(e13,e11) = e11 ),
inference(spm,[status(thm)],[c_0_242,c_0_200]) ).
fof(c_0_252,plain,
( epred3_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_253,plain,
( epred4_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_254,plain,
( epred5_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_255,plain,
( epred6_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_256,plain,
( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(e23,e23) = e21
| op2(e22,e22) = e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_134])]) ).
cnf(c_0_257,plain,
( op2(e22,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23 ),
inference(spm,[status(thm)],[c_0_244,c_0_161]) ).
cnf(c_0_258,plain,
op2(e20,e21) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_259,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_260,plain,
( op2(e23,e23) = e21
| op2(e20,e22) = e23
| op2(e20,e23) != e22 ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_261,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e23
| op2(e20,e21) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_143]),c_0_177]),c_0_163]) ).
cnf(c_0_262,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_263,plain,
( op1(e10,e10) = e12
| op1(e11,e12) = e11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]) ).
fof(c_0_264,negated_conjecture,
~ ( ( epred3_0
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( epred4_0
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( epred5_0
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( epred6_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_252]),c_0_253]),c_0_254]),c_0_255]) ).
cnf(c_0_265,plain,
( op2(e23,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e22) = e21
| op2(e23,e23) = e21
| op2(e23,e23) = e23 ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_266,plain,
op2(e21,e21) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_267,plain,
op2(e20,e23) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_268,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_269,plain,
( op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20
| op2(e20,e21) != e23 ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_270,plain,
( op2(e20,e21) = e21
| op2(e20,e22) = e23
| op2(e23,e23) = e21 ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_271,plain,
( op2(e23,e21) = e21
| op2(e20,e21) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_25]),c_0_34]),c_0_106]),c_0_119]) ).
cnf(c_0_272,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_273,plain,
op1(e11,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_274,plain,
op1(e11,e12) = e11,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_263]),c_0_68]) ).
fof(c_0_275,negated_conjecture,
( ( h1(e10) != e23
| ~ epred3_0 )
& ( h1(e11) != e23
| ~ epred3_0 )
& ( h1(e12) != e23
| ~ epred3_0 )
& ( h1(e13) != e23
| ~ epred3_0 )
& ( h2(e10) != e23
| ~ epred4_0 )
& ( h2(e11) != e23
| ~ epred4_0 )
& ( h2(e12) != e23
| ~ epred4_0 )
& ( h2(e13) != e23
| ~ epred4_0 )
& ( h3(e10) != e23
| ~ epred5_0 )
& ( h3(e11) != e23
| ~ epred5_0 )
& ( h3(e12) != e23
| ~ epred5_0 )
& ( h3(e13) != e23
| ~ epred5_0 )
& ( h4(e10) != e23
| ~ epred6_0 )
& ( h4(e11) != e23
| ~ epred6_0 )
& ( h4(e12) != e23
| ~ epred6_0 )
& ( h4(e13) != e23
| ~ epred6_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_264])])]) ).
cnf(c_0_276,plain,
( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e23,e21) = e23
| op2(e22,e22) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_265]),c_0_143]),c_0_177]),c_0_163]) ).
cnf(c_0_277,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_278,plain,
op2(e21,e22) != e22,
inference(rw,[status(thm)],[c_0_266,c_0_25]) ).
cnf(c_0_279,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_280,plain,
( op2(e20,e22) = e20
| op2(e20,e20) = e20
| op2(e21,e23) != e20 ),
inference(spm,[status(thm)],[c_0_267,c_0_83]) ).
cnf(c_0_281,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_50]),c_0_25]),c_0_143]),c_0_96]) ).
cnf(c_0_282,plain,
( op2(e20,e21) = e21
| op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(spm,[status(thm)],[c_0_269,c_0_237]) ).
cnf(c_0_283,plain,
( op2(e20,e22) = e23
| op2(e20,e21) = e21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_270]),c_0_271]) ).
cnf(c_0_284,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(e23,e23) = e21
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_50]),c_0_50]) ).
cnf(c_0_285,plain,
op1(e12,e12) != e11,
inference(rw,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_286,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_287,negated_conjecture,
( h3(e12) != e23
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_275]) ).
cnf(c_0_288,plain,
h3(e12) = op2(e22,e22),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_289,plain,
( op2(e22,e22) = e23
| op2(e23,e21) = e23
| op2(e22,e22) = e21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_276]),c_0_159]) ).
cnf(c_0_290,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e20,e22) = e22 ),
inference(sr,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_291,plain,
( op2(op2(e20,e20),op2(e20,e20)) = e20
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e22),op2(e20,e22)) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_134])]) ).
cnf(c_0_292,plain,
( op2(e21,e22) = e20
| op2(e20,e20) = e20
| op2(e20,e22) = e20 ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_293,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_294,plain,
op2(e20,e20) != op2(e20,e21),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_295,plain,
op2(e20,e21) = e21,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_143]),c_0_177]),c_0_163]) ).
cnf(c_0_296,plain,
( op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(e23,e23) = e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_134])]) ).
cnf(c_0_297,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_298,plain,
op1(e13,e13) = e11,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_274]),c_0_274]),c_0_16]),c_0_68]),c_0_285]) ).
cnf(c_0_299,plain,
op1(e11,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_300,plain,
op1(e10,e10) != op1(e11,e10),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_301,plain,
op2(e21,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_302,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e20) = e20 ),
inference(sr,[status(thm)],[c_0_286,c_0_138]) ).
cnf(c_0_303,negated_conjecture,
( op2(e22,e22) != e23
| ~ epred5_0 ),
inference(rw,[status(thm)],[c_0_287,c_0_288]) ).
cnf(c_0_304,plain,
( op2(e22,e22) = e21
| op2(e22,e22) = e23
| op2(e20,e22) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_289]),c_0_177]) ).
cnf(c_0_305,plain,
( op2(e22,e22) = e22
| op2(e20,e22) = e22
| op2(e22,e22) = e23
| op2(e20,e22) = e23 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_290]),c_0_163]) ).
cnf(c_0_306,plain,
( op2(e22,e20) = e22
| op2(e22,e22) = e22
| op2(e23,e21) != e21 ),
inference(spm,[status(thm)],[c_0_195,c_0_198]) ).
cnf(c_0_307,plain,
( op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e20),op2(e20,e20)) = e20
| op2(e21,e22) = e20
| op2(e20,e20) = e20 ),
inference(spm,[status(thm)],[c_0_291,c_0_292]) ).
cnf(c_0_308,plain,
( op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(sr,[status(thm)],[c_0_293,c_0_60]) ).
cnf(c_0_309,plain,
op2(e20,e20) != e21,
inference(rw,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_310,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(e23,e23) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_295]),c_0_295]),c_0_25]),c_0_96]) ).
cnf(c_0_311,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_297,c_0_278]),c_0_121]) ).
cnf(c_0_312,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_313,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_314,plain,
op1(e13,e11) != e11,
inference(rw,[status(thm)],[c_0_249,c_0_298]) ).
cnf(c_0_315,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_316,plain,
op1(e13,e10) != e13,
inference(rw,[status(thm)],[c_0_299,c_0_30]) ).
cnf(c_0_317,plain,
op1(e13,e10) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_318,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_319,plain,
op1(e10,e10) != e13,
inference(rw,[status(thm)],[c_0_300,c_0_30]) ).
cnf(c_0_320,plain,
( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_321,plain,
( op2(e23,e22) = e20
| op2(e23,e20) = e20
| op2(e21,e23) != e20 ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_322,negated_conjecture,
( op2(e20,e22) = e23
| op2(e22,e22) = e21
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_323,negated_conjecture,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e22,e22) = e22
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_303,c_0_305]) ).
cnf(c_0_324,plain,
( op2(e20,e21) = e21
| op2(e22,e22) = e22
| op2(e22,e20) = e22 ),
inference(spm,[status(thm)],[c_0_306,c_0_271]) ).
cnf(c_0_325,plain,
( op2(e22,e22) = e21
| op2(e22,e22) = e23
| op2(e20,e21) = e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_289]),c_0_177]) ).
cnf(c_0_326,plain,
( op2(op2(e20,e20),op2(e20,e20)) = e20
| op2(e20,e20) = e20
| op2(e21,e22) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_295]),c_0_295]),c_0_25]),c_0_96]) ).
cnf(c_0_327,plain,
( op2(e20,e20) = e22
| op2(e20,e20) = e20 ),
inference(sr,[status(thm)],[c_0_308,c_0_309]) ).
cnf(c_0_328,plain,
( op2(e21,e22) = e21
| op2(e23,e23) = e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_309]) ).
cnf(c_0_329,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_50]),c_0_25]),c_0_177]),c_0_106]) ).
cnf(c_0_330,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_98])]) ).
cnf(c_0_331,plain,
op1(e13,e11) = e13,
inference(sr,[status(thm)],[c_0_233,c_0_314]) ).
cnf(c_0_332,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[c_0_315,c_0_316]) ).
cnf(c_0_333,plain,
op1(e13,e10) != e11,
inference(rw,[status(thm)],[c_0_317,c_0_298]) ).
cnf(c_0_334,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_335,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13 ),
inference(sr,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_336,plain,
op1(e12,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_337,plain,
( op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e23,e22),op2(e23,e22)) = e23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_320,c_0_134])]) ).
cnf(c_0_338,plain,
( op2(e21,e22) = e20
| op2(e23,e20) = e20
| op2(e23,e22) = e20 ),
inference(spm,[status(thm)],[c_0_321,c_0_281]) ).
cnf(c_0_339,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_340,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_341,negated_conjecture,
( op2(e20,e22) = e22
| op2(e20,e22) = e23
| ~ epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_106]) ).
cnf(c_0_342,plain,
( op2(e22,e22) = e21
| op2(e22,e20) = e22
| op2(e20,e21) = e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_163]) ).
cnf(c_0_343,plain,
( op2(e20,e20) = e20
| op2(e21,e22) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_85]),c_0_96]) ).
cnf(c_0_344,plain,
op2(e21,e22) = e21,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_328]),c_0_329]) ).
fof(c_0_345,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 ) )
=> epred5_0 ),
inference(split_equiv,[status(thm)],[c_0_254]) ).
cnf(c_0_346,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_347,plain,
op1(op1(e13,e10),op1(e13,e10)) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_330,c_0_274]),c_0_274]),c_0_16]),c_0_68]),c_0_331]),c_0_331]),c_0_298]),c_0_112]) ).
cnf(c_0_348,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[c_0_332,c_0_333]) ).
cnf(c_0_349,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[c_0_334,c_0_219]) ).
cnf(c_0_350,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_351,plain,
( op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e12
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_335]),c_0_146]) ).
cnf(c_0_352,plain,
( op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_335]),c_0_127]) ).
cnf(c_0_353,plain,
op1(e10,e10) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_354,plain,
op1(e12,e13) != e11,
inference(rw,[status(thm)],[c_0_336,c_0_298]) ).
cnf(c_0_355,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(e23,e20) = e20
| op2(e21,e22) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_60]) ).
cnf(c_0_356,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e20,e20) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_339,c_0_50]),c_0_177]) ).
cnf(c_0_357,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e20,e20) = e22
| op2(e23,e23) = e21
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_340,c_0_50]),c_0_50]),c_0_34]),c_0_34]) ).
cnf(c_0_358,negated_conjecture,
( op2(e20,e22) = e22
| op2(e20,e21) != e23
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_341]) ).
cnf(c_0_359,plain,
op2(e20,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_360,plain,
( op2(e20,e21) = e21
| op2(e22,e20) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_342]),c_0_106]),c_0_177]) ).
cnf(c_0_361,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_362,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_363,plain,
op2(e20,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_364,plain,
op2(e20,e20) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_343,c_0_344]),c_0_119]) ).
fof(c_0_365,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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_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))
| epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_345])])]) ).
cnf(c_0_366,plain,
( op1(e13,e11) = e11
| op1(e10,e11) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_346,c_0_16]),c_0_21]),c_0_68]),c_0_66]) ).
cnf(c_0_367,plain,
op1(e13,e10) = e12,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_319]) ).
cnf(c_0_368,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_369,plain,
( op1(e13,e12) = e10
| op1(e13,e10) = e10
| op1(e11,e13) != e10 ),
inference(spm,[status(thm)],[c_0_109,c_0_349]) ).
cnf(c_0_370,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_350,c_0_30]),c_0_16]),c_0_127]),c_0_80]) ).
cnf(c_0_371,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e12
| op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_80]) ).
cnf(c_0_372,plain,
( op1(e10,e10) = e12
| op1(e12,e10) = e12
| op1(e10,e12) != e10 ),
inference(spm,[status(thm)],[c_0_353,c_0_178]) ).
cnf(c_0_373,plain,
op1(e12,e10) = e11,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_116,c_0_285]),c_0_354]) ).
cnf(c_0_374,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_375,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_376,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(e21,e22) = e20
| op2(e23,e20) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_295]),c_0_295]),c_0_25]),c_0_96]) ).
cnf(c_0_377,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21 ),
inference(sr,[status(thm)],[c_0_356,c_0_309]) ).
cnf(c_0_378,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e23,e23) = e21
| op2(e20,e20) = e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_134])]) ).
cnf(c_0_379,negated_conjecture,
( op2(e20,e21) = e21
| op2(e20,e22) = e22
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_358,c_0_237]) ).
cnf(c_0_380,plain,
( op2(e20,e21) = e21
| op2(e20,e20) != e22 ),
inference(spm,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_381,plain,
( op2(e22,e23) = e23
| op2(e20,e23) = e23
| op2(e23,e21) != e23 ),
inference(spm,[status(thm)],[c_0_195,c_0_197]) ).
cnf(c_0_382,plain,
( op2(e23,e21) = e23
| op2(e20,e21) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_361,c_0_25]),c_0_34]),c_0_163]),c_0_143]) ).
cnf(c_0_383,plain,
( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_384,plain,
( op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_362,c_0_211]),c_0_187]) ).
cnf(c_0_385,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_386,plain,
op2(e23,e20) != e20,
inference(rw,[status(thm)],[c_0_363,c_0_364]) ).
cnf(c_0_387,plain,
op2(e23,e23) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_344]),c_0_344]),c_0_25]),c_0_106]) ).
cnf(c_0_388,plain,
( epred5_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)) ),
inference(split_conjunct,[status(thm)],[c_0_365]) ).
cnf(c_0_389,plain,
h3(e10) = op2(op2(e22,e22),e22),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_390,plain,
h3(e11) = e22,
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_391,plain,
h3(e13) = op2(e22,op2(op2(e22,e22),e22)),
inference(split_conjunct,[status(thm)],[ax16]) ).
cnf(c_0_392,plain,
op1(e10,e11) = e11,
inference(sr,[status(thm)],[c_0_366,c_0_314]) ).
cnf(c_0_393,plain,
op1(e12,e12) = e13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_347,c_0_367]),c_0_367]) ).
cnf(c_0_394,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e10) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_368,c_0_21]),c_0_80]) ).
cnf(c_0_395,plain,
( op1(e11,e12) = e10
| op1(e13,e10) = e10
| op1(e13,e12) = e10 ),
inference(spm,[status(thm)],[c_0_369,c_0_370]) ).
cnf(c_0_396,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e10
| op1(e12,e12) != e13 ),
inference(spm,[status(thm)],[c_0_189,c_0_371]) ).
cnf(c_0_397,plain,
( op1(e10,e10) = e12
| op1(e10,e12) != e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_373]),c_0_68]) ).
cnf(c_0_398,plain,
op1(e10,e10) = e10,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_150]),c_0_319]) ).
cnf(c_0_399,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_134])]) ).
cnf(c_0_400,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e20,e20) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_375,c_0_50]),c_0_163]) ).
cnf(c_0_401,plain,
( op2(e22,e20) = e21
| op2(e21,e22) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_25]),c_0_163]),c_0_119]) ).
cnf(c_0_402,plain,
op2(e20,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_403,plain,
( op2(e20,e21) = e21
| op2(e23,e23) = e21
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_85]),c_0_380]) ).
cnf(c_0_404,plain,
( op2(e20,e21) = e23
| op2(e20,e23) = e23
| op2(e22,e23) = e23 ),
inference(spm,[status(thm)],[c_0_381,c_0_382]) ).
cnf(c_0_405,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e22),op2(e23,e22)) = e23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_383,c_0_134])]) ).
cnf(c_0_406,plain,
( op2(e21,e23) = e21
| op2(e23,e20) = e20
| op2(e23,e22) = e20 ),
inference(spm,[status(thm)],[c_0_321,c_0_384]) ).
cnf(c_0_407,plain,
( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e20) = e22 ),
inference(sr,[status(thm)],[c_0_385,c_0_139]) ).
cnf(c_0_408,plain,
op2(e23,e22) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_302,c_0_386]),c_0_387]),c_0_119]) ).
cnf(c_0_409,plain,
op2(e22,e23) != e21,
inference(rw,[status(thm)],[c_0_155,c_0_387]) ).
cnf(c_0_410,plain,
( epred5_0
| op2(op2(e22,op2(op2(e22,e22),e22)),op2(e22,op2(op2(e22,e22),e22))) != h3(op1(e13,e13))
| op2(op2(op2(e22,e22),e22),op2(e22,op2(op2(e22,e22),e22))) != h3(op1(e10,e13))
| op2(op2(e22,op2(op2(e22,e22),e22)),op2(op2(e22,e22),e22)) != h3(op1(e13,e10))
| op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) != h3(op1(e10,e10))
| op2(op2(e22,e22),op2(e22,op2(op2(e22,e22),e22))) != h3(op1(e12,e13))
| op2(op2(e22,op2(op2(e22,e22),e22)),op2(e22,e22)) != h3(op1(e13,e12))
| h3(op1(e10,e12)) != op2(op2(op2(e22,e22),e22),op2(e22,e22))
| h3(op1(e11,e13)) != op2(e22,op2(e22,op2(op2(e22,e22),e22)))
| h3(op1(e12,e10)) != op2(op2(e22,e22),op2(op2(e22,e22),e22))
| h3(op1(e13,e11)) != op2(op2(e22,op2(op2(e22,e22),e22)),e22)
| h3(op1(e10,e11)) != op2(op2(op2(e22,e22),e22),e22)
| h3(op1(e12,e12)) != op2(op2(e22,e22),op2(e22,e22))
| h3(op1(e11,e12)) != op2(e22,op2(e22,e22))
| op2(e22,op2(op2(e22,e22),e22)) != e21
| op2(op2(e22,e22),e22) != e20 ),
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)],[c_0_388,c_0_389]),c_0_390]),c_0_391]),c_0_389]),c_0_389]),c_0_389]),c_0_390]),c_0_389]),c_0_288]),c_0_389]),c_0_391]),c_0_390]),c_0_389]),c_0_30]),c_0_391]),c_0_390]),c_0_390]),c_0_16]),c_0_288]),c_0_390]),c_0_288]),c_0_390]),c_0_391]),c_0_288]),c_0_389]),c_0_288]),c_0_390]),c_0_21]),c_0_389]),c_0_288]),c_0_288]),c_0_288]),c_0_391]),c_0_391]),c_0_389]),c_0_391]),c_0_390]),c_0_391]),c_0_288]),c_0_391]),c_0_391])]) ).
cnf(c_0_411,plain,
op1(e11,e13) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_274]),c_0_66]) ).
cnf(c_0_412,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_335,c_0_392]),c_0_112]) ).
cnf(c_0_413,plain,
op1(e10,e12) != e13,
inference(rw,[status(thm)],[c_0_189,c_0_393]) ).
cnf(c_0_414,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_373]),c_0_68]) ).
cnf(c_0_415,plain,
( op1(e13,e12) = e10
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_395,c_0_274]),c_0_66]) ).
cnf(c_0_416,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e12
| op1(e12,e12) != e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_396,c_0_392]),c_0_112]) ).
cnf(c_0_417,plain,
op1(e10,e12) != e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_397,c_0_398]),c_0_80]) ).
cnf(c_0_418,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e22,e20) = e22
| op2(e20,e20) = e22
| op2(e22,e22) = e23 ),
inference(spm,[status(thm)],[c_0_399,c_0_400]) ).
cnf(c_0_419,plain,
op2(e23,e21) = e23,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_382,c_0_295]),c_0_177]) ).
cnf(c_0_420,plain,
op2(e22,e20) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_401,c_0_344]),c_0_119]) ).
cnf(c_0_421,plain,
( op2(e22,e22) = e23
| op2(e20,e22) = e23
| op2(e20,e21) != e21 ),
inference(spm,[status(thm)],[c_0_402,c_0_173]) ).
cnf(c_0_422,plain,
( op2(e20,e21) = e21
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_403]),c_0_271]) ).
cnf(c_0_423,plain,
( op2(e20,e23) = e23
| op2(e20,e21) = e23
| op2(e22,e22) != e23 ),
inference(spm,[status(thm)],[c_0_193,c_0_404]) ).
cnf(c_0_424,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(e23,e20) = e20
| op2(e21,e23) = e21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_406]),c_0_60]) ).
cnf(c_0_425,plain,
op2(e23,e20) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_407,c_0_408]),c_0_96]),c_0_387]),c_0_106]) ).
cnf(c_0_426,plain,
op2(e21,e23) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_281,c_0_344]),c_0_119]) ).
cnf(c_0_427,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22 ),
inference(sr,[status(thm)],[c_0_194,c_0_409]) ).
cnf(c_0_428,plain,
( epred5_0
| op2(op2(op2(e22,e22),e22),op2(e22,op2(op2(e22,e22),e22))) != h3(op1(e10,e13))
| op2(op2(e22,op2(op2(e22,e22),e22)),op2(op2(e22,e22),e22)) != h3(op1(e13,e10))
| op2(op2(e22,op2(op2(e22,e22),e22)),op2(e22,op2(op2(e22,e22),e22))) != e22
| op2(op2(e22,op2(op2(e22,e22),e22)),e22) != op2(e22,op2(op2(e22,e22),e22))
| op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) != h3(op1(e10,e10))
| op2(op2(e22,e22),op2(e22,op2(op2(e22,e22),e22))) != h3(op1(e12,e13))
| op2(op2(e22,op2(op2(e22,e22),e22)),op2(e22,e22)) != h3(op1(e13,e12))
| op2(e22,op2(e22,op2(op2(e22,e22),e22))) != op2(op2(e22,e22),e22)
| h3(op1(e10,e12)) != op2(op2(op2(e22,e22),e22),op2(e22,e22))
| h3(op1(e12,e12)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(op2(e22,e22),e22)) != e22
| op2(op2(op2(e22,e22),e22),e22) != e22
| op2(e22,op2(op2(e22,e22),e22)) != e21
| op2(e22,op2(e22,e22)) != e22
| op2(op2(e22,e22),e22) != e20 ),
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_410,c_0_298]),c_0_390]),c_0_411]),c_0_389]),c_0_373]),c_0_390]),c_0_331]),c_0_391]),c_0_392]),c_0_390]),c_0_274]),c_0_390]) ).
cnf(c_0_429,plain,
op1(e10,e13) = e13,
inference(sr,[status(thm)],[c_0_412,c_0_413]) ).
cnf(c_0_430,plain,
op1(e12,e13) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_414,c_0_393]),c_0_146]) ).
cnf(c_0_431,plain,
op1(e13,e12) = e10,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_415]),c_0_319]) ).
cnf(c_0_432,plain,
op1(e10,e12) = e12,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_416,c_0_393])]),c_0_417]) ).
cnf(c_0_433,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(e22,e22) = e23 ),
inference(sr,[status(thm)],[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_418,c_0_419]),c_0_419]),c_0_387]),c_0_420]),c_0_364]),c_0_177]),c_0_106]),c_0_96]) ).
cnf(c_0_434,plain,
( op2(e20,e22) = e23
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_422]),c_0_303]) ).
cnf(c_0_435,plain,
( op2(e20,e23) = e23
| op2(e22,e22) != e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_423,c_0_295]),c_0_177]) ).
cnf(c_0_436,plain,
op2(e22,e22) = e23,
inference(sr,[status(thm)],[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_424,c_0_419]),c_0_419]),c_0_387]),c_0_425]),c_0_425]),c_0_425]),c_0_426]),c_0_177]),c_0_96]),c_0_119]) ).
cnf(c_0_437,plain,
( op2(e22,e22) = e22
| op2(e20,e22) = e22 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_408]),c_0_96]) ).
cnf(c_0_438,plain,
( op2(e22,e23) = e22
| op2(e22,e22) != e23 ),
inference(spm,[status(thm)],[c_0_193,c_0_427]) ).
cnf(c_0_439,plain,
( epred5_0
| op2(op2(op2(e22,e22),e22),op2(e22,op2(op2(e22,e22),e22))) != op2(e22,op2(op2(e22,e22),e22))
| op2(op2(e22,op2(op2(e22,e22),e22)),op2(op2(e22,e22),e22)) != op2(e22,e22)
| op2(op2(e22,op2(op2(e22,e22),e22)),op2(e22,op2(op2(e22,e22),e22))) != e22
| op2(op2(e22,op2(op2(e22,e22),e22)),e22) != op2(e22,op2(op2(e22,e22),e22))
| op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) != op2(op2(e22,e22),e22)
| op2(op2(e22,op2(op2(e22,e22),e22)),op2(e22,e22)) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),op2(e22,op2(op2(e22,e22),e22))) != op2(e22,e22)
| op2(e22,op2(e22,op2(op2(e22,e22),e22))) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e22,op2(op2(e22,e22),e22))
| op2(op2(op2(e22,e22),e22),op2(e22,e22)) != op2(e22,e22)
| op2(op2(e22,e22),op2(op2(e22,e22),e22)) != e22
| op2(op2(op2(e22,e22),e22),e22) != e22
| op2(e22,op2(op2(e22,e22),e22)) != e21
| op2(e22,op2(e22,e22)) != e22
| op2(op2(e22,e22),e22) != e20 ),
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_428,c_0_398]),c_0_389]),c_0_429]),c_0_391]),c_0_367]),c_0_288]),c_0_430]),c_0_288]),c_0_431]),c_0_389]),c_0_432]),c_0_288]),c_0_393]),c_0_391]) ).
cnf(c_0_440,plain,
~ epred5_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_434]),c_0_387]),c_0_119]),c_0_303]) ).
cnf(c_0_441,plain,
op2(e20,e23) = e23,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_435,c_0_436])]) ).
cnf(c_0_442,plain,
op2(e20,e22) = e22,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_436]),c_0_163]) ).
cnf(c_0_443,plain,
op2(e22,e23) = e22,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_438,c_0_436])]) ).
cnf(c_0_444,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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)],[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_439,c_0_436]),c_0_408]),c_0_436]),c_0_408]),c_0_420]),c_0_295]),c_0_436]),c_0_408]),c_0_420]),c_0_436]),c_0_408]),c_0_420]),c_0_436]),c_0_408]),c_0_50]),c_0_436]),c_0_436]),c_0_408]),c_0_420]),c_0_436]),c_0_408]),c_0_420]),c_0_25]),c_0_436]),c_0_408]),c_0_420]),c_0_344]),c_0_436]),c_0_408]),c_0_420]),c_0_436]),c_0_408]),c_0_436]),c_0_408]),c_0_364]),c_0_436]),c_0_408]),c_0_436]),c_0_408]),c_0_420]),c_0_436]),c_0_426]),c_0_436]),c_0_408]),c_0_436]),c_0_436]),c_0_408]),c_0_420]),c_0_419]),c_0_436]),c_0_436]),c_0_408]),c_0_420]),c_0_34]),c_0_436]),c_0_408]),c_0_436]),c_0_436]),c_0_387]),c_0_436]),c_0_408]),c_0_420]),c_0_436]),c_0_408]),c_0_436]),c_0_436]),c_0_436]),c_0_436]),c_0_408]),c_0_425]),c_0_436]),c_0_408]),c_0_436]),c_0_408]),c_0_420]),c_0_436]),c_0_436]),c_0_408])]),c_0_440]),c_0_441]),c_0_442]),c_0_443])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : ALG112+1 : TPTP v8.2.0. Released v2.7.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n008.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat May 18 23:11:52 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 8.59/1.51 # Version: 3.1.0
% 8.59/1.51 # Preprocessing class: FSLSSMSMSSSNFFN.
% 8.59/1.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.59/1.51 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.59/1.51 # Starting new_bool_3 with 300s (1) cores
% 8.59/1.51 # Starting new_bool_1 with 300s (1) cores
% 8.59/1.51 # Starting sh5l with 300s (1) cores
% 8.59/1.51 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 29119 completed with status 0
% 8.59/1.51 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 8.59/1.51 # Preprocessing class: FSLSSMSMSSSNFFN.
% 8.59/1.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.59/1.51 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.59/1.51 # No SInE strategy applied
% 8.59/1.51 # Search class: FGHSF-FMLM21-MFFFFFNN
% 8.59/1.51 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 8.59/1.51 # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 811s (1) cores
% 8.59/1.51 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 8.59/1.51 # Starting new_bool_3 with 136s (1) cores
% 8.59/1.51 # Starting new_bool_1 with 136s (1) cores
% 8.59/1.51 # Starting sh5l with 136s (1) cores
% 8.59/1.51 # new_bool_1 with pid 29127 completed with status 0
% 8.59/1.51 # Result found by new_bool_1
% 8.59/1.51 # Preprocessing class: FSLSSMSMSSSNFFN.
% 8.59/1.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.59/1.51 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.59/1.51 # No SInE strategy applied
% 8.59/1.51 # Search class: FGHSF-FMLM21-MFFFFFNN
% 8.59/1.51 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 8.59/1.51 # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 811s (1) cores
% 8.59/1.51 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 8.59/1.51 # Starting new_bool_3 with 136s (1) cores
% 8.59/1.51 # Starting new_bool_1 with 136s (1) cores
% 8.59/1.51 # Preprocessing time : 0.014 s
% 8.59/1.51 # Presaturation interreduction done
% 8.59/1.51
% 8.59/1.51 # Proof found!
% 8.59/1.51 # SZS status Theorem
% 8.59/1.51 # SZS output start CNFRefutation
% See solution above
% 8.59/1.52 # Parsed axioms : 18
% 8.59/1.52 # Removed by relevancy pruning/SinE : 0
% 8.59/1.52 # Initial clauses : 650
% 8.59/1.52 # Removed in clause preprocessing : 0
% 8.59/1.52 # Initial clauses in saturation : 650
% 8.59/1.52 # Processed clauses : 7832
% 8.59/1.52 # ...of these trivial : 211
% 8.59/1.52 # ...subsumed : 5137
% 8.59/1.52 # ...remaining for further processing : 2483
% 8.59/1.52 # Other redundant clauses eliminated : 0
% 8.59/1.52 # Clauses deleted for lack of memory : 0
% 8.59/1.52 # Backward-subsumed : 813
% 8.59/1.52 # Backward-rewritten : 1030
% 8.59/1.52 # Generated clauses : 35316
% 8.59/1.52 # ...of the previous two non-redundant : 35113
% 8.59/1.52 # ...aggressively subsumed : 0
% 8.59/1.52 # Contextual simplify-reflections : 39
% 8.59/1.52 # Paramodulations : 34902
% 8.59/1.52 # Factorizations : 262
% 8.59/1.52 # NegExts : 0
% 8.59/1.52 # Equation resolutions : 0
% 8.59/1.52 # Disequality decompositions : 0
% 8.59/1.52 # Total rewrite steps : 20918
% 8.59/1.52 # ...of those cached : 20867
% 8.59/1.52 # Propositional unsat checks : 0
% 8.59/1.52 # Propositional check models : 0
% 8.59/1.52 # Propositional check unsatisfiable : 0
% 8.59/1.52 # Propositional clauses : 0
% 8.59/1.52 # Propositional clauses after purity: 0
% 8.59/1.52 # Propositional unsat core size : 0
% 8.59/1.52 # Propositional preprocessing time : 0.000
% 8.59/1.52 # Propositional encoding time : 0.000
% 8.59/1.52 # Propositional solver time : 0.000
% 8.59/1.52 # Success case prop preproc time : 0.000
% 8.59/1.52 # Success case prop encoding time : 0.000
% 8.59/1.52 # Success case prop solver time : 0.000
% 8.59/1.52 # Current number of processed clauses : 82
% 8.59/1.52 # Positive orientable unit clauses : 50
% 8.59/1.52 # Positive unorientable unit clauses: 0
% 8.59/1.52 # Negative unit clauses : 31
% 8.59/1.52 # Non-unit-clauses : 1
% 8.59/1.52 # Current number of unprocessed clauses: 21075
% 8.59/1.52 # ...number of literals in the above : 170017
% 8.59/1.52 # Current number of archived formulas : 0
% 8.59/1.52 # Current number of archived clauses : 2401
% 8.59/1.52 # Clause-clause subsumption calls (NU) : 263382
% 8.59/1.52 # Rec. Clause-clause subsumption calls : 39350
% 8.59/1.52 # Non-unit clause-clause subsumptions : 2108
% 8.59/1.52 # Unit Clause-clause subsumption calls : 6664
% 8.59/1.52 # Rewrite failures with RHS unbound : 0
% 8.59/1.52 # BW rewrite match attempts : 42
% 8.59/1.52 # BW rewrite match successes : 42
% 8.59/1.52 # Condensation attempts : 0
% 8.59/1.52 # Condensation successes : 0
% 8.59/1.52 # Termbank termtop insertions : 981466
% 8.59/1.52 # Search garbage collected termcells : 2939
% 8.59/1.52
% 8.59/1.52 # -------------------------------------------------
% 8.59/1.52 # User time : 1.015 s
% 8.59/1.52 # System time : 0.017 s
% 8.59/1.52 # Total time : 1.032 s
% 8.59/1.52 # Maximum resident set size: 3092 pages
% 8.59/1.52
% 8.59/1.52 # -------------------------------------------------
% 8.59/1.52 # User time : 5.103 s
% 8.59/1.52 # System time : 0.092 s
% 8.59/1.52 # Total time : 5.195 s
% 8.59/1.52 # Maximum resident set size: 2136 pages
% 8.59/1.52 % E---3.1 exiting
% 8.59/1.52 % E exiting
%------------------------------------------------------------------------------