TSTP Solution File: ALG102+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG102+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 Jun 24 03:57:12 EDT 2024
% Result : Theorem 5.96s 1.59s
% Output : CNFRefutation 5.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 161
% Syntax : Number of formulae : 1348 ( 294 unt; 0 def)
% Number of atoms : 6390 (4182 equ)
% Maximal formula atoms : 304 ( 4 avg)
% Number of connectives : 7763 (2721 ~;3263 |;1779 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 146 ( 144 usr; 145 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(f1,axiom,
( ( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) )
& ( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) )
& ( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) )
& ( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) )
& ( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) )
& ( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 = op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( op1(e10,e10) = e13
| e10 != op1(e10,e13) )
& e13 = op1(e13,op1(e13,e13))
& e12 = op1(e13,op1(e13,e12))
& e11 = op1(e13,op1(e13,e11))
& e10 = op1(e13,op1(e13,e10)) )
| ( ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& e13 = op1(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& e11 = op1(e12,op1(e12,e11))
& e10 = op1(e12,op1(e12,e10)) )
| ( ( e11 = op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& e13 = op1(e11,op1(e11,e13))
& e12 = op1(e11,op1(e11,e12))
& e11 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,e10)) )
| ( ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,op1(e10,e13))
& e12 = op1(e10,op1(e10,e12))
& e11 = op1(e10,op1(e10,e11))
& e10 = op1(e10,op1(e10,e10)) ) )
& ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 = op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e23 = op2(e21,e21)
| e21 != op2(e21,e23) )
& ( op2(e20,e20) = e23
| e20 != op2(e20,e23) )
& e23 = op2(e23,op2(e23,e23))
& e22 = op2(e23,op2(e23,e22))
& e21 = op2(e23,op2(e23,e21))
& e20 = op2(e23,op2(e23,e20)) )
| ( ( e22 = op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& e23 = op2(e22,op2(e22,e23))
& e22 = op2(e22,op2(e22,e22))
& e21 = op2(e22,op2(e22,e21))
& e20 = op2(e22,op2(e22,e20)) )
| ( ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e21 = op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) = e21
| e20 != op2(e20,e21) )
& e23 = op2(e21,op2(e21,e23))
& e22 = op2(e21,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e20 = op2(e21,op2(e21,e20)) )
| ( ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,op2(e20,e23))
& e22 = op2(e20,op2(e20,e22))
& e21 = op2(e20,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20)) ) )
& ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e13 = op1(op1(e11,e11),e11)
& e12 = op1(e11,e11)
& e10 = op1(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e23 = op2(op2(e21,e21),e21)
& e22 = op2(e21,e21)
& e20 = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( op2(op2(e20,e20),e20) = h1(e13)
& op2(e20,e20) = h1(e12)
& h1(e10) = op2(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20))
& e20 = h1(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( op2(op2(e21,e21),e21) = h2(e13)
& op2(e21,e21) = h2(e12)
& op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) = h2(e10)
& e21 = h2(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( op2(op2(e22,e22),e22) = h3(e13)
& op2(e22,e22) = h3(e12)
& h3(e10) = op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22))
& e22 = h3(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( op2(op2(e23,e23),e23) = h4(e13)
& op2(e23,e23) = h4(e12)
& h4(e10) = op2(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23))
& e23 = h4(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,conjecture,
( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f19,negated_conjecture,
~ ( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f33,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f34,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f35,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f36,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f37,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f38,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f39,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f40,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f41,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f42,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f43,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f44,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f45,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f46,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f47,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f48,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f49,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f50,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f51,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f52,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f53,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f54,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f55,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f56,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f57,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f58,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f59,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f60,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f61,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f62,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f63,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f64,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f65,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f66,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f67,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f68,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f69,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f70,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f71,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f72,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f73,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f74,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f75,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f76,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f77,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f78,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f79,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f80,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f81,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f82,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f83,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f84,plain,
( ( ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,op1(e10,e13))
& e12 = op1(e10,op1(e10,e12))
& e11 = op1(e10,op1(e10,e11))
& e10 = op1(e10,op1(e10,e10)) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f85,plain,
( ( ( e11 = op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& e13 = op1(e11,op1(e11,e13))
& e12 = op1(e11,op1(e11,e12))
& e11 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,e10)) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f86,plain,
( ( ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& e13 = op1(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& e11 = op1(e12,op1(e12,e11))
& e10 = op1(e12,op1(e12,e10)) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f87,plain,
( ( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 = op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( op1(e10,e10) = e13
| e10 != op1(e10,e13) )
& e13 = op1(e13,op1(e13,e13))
& e12 = op1(e13,op1(e13,e12))
& e11 = op1(e13,op1(e13,e11))
& e10 = op1(e13,op1(e13,e10)) )
| sP65
| sP64
| sP63 )
& ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f10,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f88,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f89,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f90,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f91,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f92,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f93,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f94,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f95,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f96,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f97,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f98,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f99,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f100,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f101,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f102,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f103,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f104,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f105,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f106,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f107,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f108,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f109,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f110,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f111,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f112,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f113,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f114,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f115,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f116,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f117,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f118,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f119,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f120,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f121,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f122,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f123,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f124,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f125,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f126,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f127,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f128,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f129,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f130,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f131,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f132,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f133,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f134,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f135,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f136,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f137,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f138,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f139,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f140,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f141,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f142,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f143,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f144,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f145,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f146,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f147,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f148,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f149,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f150,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f151,plain,
( ( ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,op2(e20,e23))
& e22 = op2(e20,op2(e20,e22))
& e21 = op2(e20,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20)) )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f152,plain,
( ( ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e21 = op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) = e21
| e20 != op2(e20,e21) )
& e23 = op2(e21,op2(e21,e23))
& e22 = op2(e21,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e20 = op2(e21,op2(e21,e20)) )
| ~ sP130 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).
fof(f153,plain,
( ( ( e22 = op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& e23 = op2(e22,op2(e22,e23))
& e22 = op2(e22,op2(e22,e22))
& e21 = op2(e22,op2(e22,e21))
& e20 = op2(e22,op2(e22,e20)) )
| ~ sP131 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).
fof(f154,plain,
( ( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 = op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e23 = op2(e21,e21)
| e21 != op2(e21,e23) )
& ( op2(e20,e20) = e23
| e20 != op2(e20,e23) )
& e23 = op2(e23,op2(e23,e23))
& e22 = op2(e23,op2(e23,e22))
& e21 = op2(e23,op2(e23,e21))
& e20 = op2(e23,op2(e23,e20)) )
| sP131
| sP130
| sP129 )
& ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66 ) ),
inference(definition_folding,[],[f11,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88]) ).
fof(f155,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP132 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).
fof(f156,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP133 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).
fof(f157,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP134 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])]) ).
fof(f158,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP135 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).
fof(f159,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP136 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).
fof(f160,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP137 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).
fof(f161,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP138 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])]) ).
fof(f162,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP139 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])]) ).
fof(f163,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP140 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])]) ).
fof(f164,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP141 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP141])]) ).
fof(f165,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP142 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP142])]) ).
fof(f166,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP143 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP143])]) ).
fof(f167,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP143
| sP142
| sP141
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| sP140
| sP139
| sP138
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| sP137
| sP136
| sP135
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| sP134
| sP133
| sP132
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(definition_folding,[],[f20,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155]) ).
fof(f168,plain,
( ( ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& e13 = op1(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& e11 = op1(e12,op1(e12,e11))
& e10 = op1(e12,op1(e12,e10)) )
| ~ sP65 ),
inference(nnf_transformation,[],[f86]) ).
fof(f169,plain,
( ( ( e11 = op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& e13 = op1(e11,op1(e11,e13))
& e12 = op1(e11,op1(e11,e12))
& e11 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,e10)) )
| ~ sP64 ),
inference(nnf_transformation,[],[f85]) ).
fof(f170,plain,
( ( ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,op1(e10,e13))
& e12 = op1(e10,op1(e10,e12))
& e11 = op1(e10,op1(e10,e11))
& e10 = op1(e10,op1(e10,e10)) )
| ~ sP63 ),
inference(nnf_transformation,[],[f84]) ).
fof(f171,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP62 ),
inference(nnf_transformation,[],[f83]) ).
fof(f172,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP61 ),
inference(nnf_transformation,[],[f82]) ).
fof(f173,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP60 ),
inference(nnf_transformation,[],[f81]) ).
fof(f174,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP59 ),
inference(nnf_transformation,[],[f80]) ).
fof(f175,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP58 ),
inference(nnf_transformation,[],[f79]) ).
fof(f176,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP57 ),
inference(nnf_transformation,[],[f78]) ).
fof(f177,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP56 ),
inference(nnf_transformation,[],[f77]) ).
fof(f178,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP55 ),
inference(nnf_transformation,[],[f76]) ).
fof(f179,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP54 ),
inference(nnf_transformation,[],[f75]) ).
fof(f180,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP53 ),
inference(nnf_transformation,[],[f74]) ).
fof(f181,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP52 ),
inference(nnf_transformation,[],[f73]) ).
fof(f182,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP51 ),
inference(nnf_transformation,[],[f72]) ).
fof(f183,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP50 ),
inference(nnf_transformation,[],[f71]) ).
fof(f184,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP49 ),
inference(nnf_transformation,[],[f70]) ).
fof(f185,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP48 ),
inference(nnf_transformation,[],[f69]) ).
fof(f186,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP47 ),
inference(nnf_transformation,[],[f68]) ).
fof(f187,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP46 ),
inference(nnf_transformation,[],[f67]) ).
fof(f188,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP45 ),
inference(nnf_transformation,[],[f66]) ).
fof(f189,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP44 ),
inference(nnf_transformation,[],[f65]) ).
fof(f190,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP43 ),
inference(nnf_transformation,[],[f64]) ).
fof(f191,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP42 ),
inference(nnf_transformation,[],[f63]) ).
fof(f192,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP41 ),
inference(nnf_transformation,[],[f62]) ).
fof(f193,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP40 ),
inference(nnf_transformation,[],[f61]) ).
fof(f194,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP39 ),
inference(nnf_transformation,[],[f60]) ).
fof(f195,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP38 ),
inference(nnf_transformation,[],[f59]) ).
fof(f196,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP37 ),
inference(nnf_transformation,[],[f58]) ).
fof(f197,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP36 ),
inference(nnf_transformation,[],[f57]) ).
fof(f198,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP35 ),
inference(nnf_transformation,[],[f56]) ).
fof(f199,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP34 ),
inference(nnf_transformation,[],[f55]) ).
fof(f200,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP33 ),
inference(nnf_transformation,[],[f54]) ).
fof(f201,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP32 ),
inference(nnf_transformation,[],[f53]) ).
fof(f202,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP31 ),
inference(nnf_transformation,[],[f52]) ).
fof(f203,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP30 ),
inference(nnf_transformation,[],[f51]) ).
fof(f204,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP29 ),
inference(nnf_transformation,[],[f50]) ).
fof(f205,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP28 ),
inference(nnf_transformation,[],[f49]) ).
fof(f206,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP27 ),
inference(nnf_transformation,[],[f48]) ).
fof(f207,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP26 ),
inference(nnf_transformation,[],[f47]) ).
fof(f208,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP25 ),
inference(nnf_transformation,[],[f46]) ).
fof(f209,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP24 ),
inference(nnf_transformation,[],[f45]) ).
fof(f210,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP23 ),
inference(nnf_transformation,[],[f44]) ).
fof(f211,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP22 ),
inference(nnf_transformation,[],[f43]) ).
fof(f212,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP21 ),
inference(nnf_transformation,[],[f42]) ).
fof(f213,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP20 ),
inference(nnf_transformation,[],[f41]) ).
fof(f214,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP19 ),
inference(nnf_transformation,[],[f40]) ).
fof(f215,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP18 ),
inference(nnf_transformation,[],[f39]) ).
fof(f216,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP17 ),
inference(nnf_transformation,[],[f38]) ).
fof(f217,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP16 ),
inference(nnf_transformation,[],[f37]) ).
fof(f218,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP15 ),
inference(nnf_transformation,[],[f36]) ).
fof(f219,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP14 ),
inference(nnf_transformation,[],[f35]) ).
fof(f220,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP13 ),
inference(nnf_transformation,[],[f34]) ).
fof(f221,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP12 ),
inference(nnf_transformation,[],[f33]) ).
fof(f222,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f223,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f224,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f225,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f226,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f227,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f228,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f229,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f230,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f231,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f232,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f233,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f234,plain,
( ( ( e22 = op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& e23 = op2(e22,op2(e22,e23))
& e22 = op2(e22,op2(e22,e22))
& e21 = op2(e22,op2(e22,e21))
& e20 = op2(e22,op2(e22,e20)) )
| ~ sP131 ),
inference(nnf_transformation,[],[f153]) ).
fof(f235,plain,
( ( ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e21 = op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) = e21
| e20 != op2(e20,e21) )
& e23 = op2(e21,op2(e21,e23))
& e22 = op2(e21,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e20 = op2(e21,op2(e21,e20)) )
| ~ sP130 ),
inference(nnf_transformation,[],[f152]) ).
fof(f236,plain,
( ( ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,op2(e20,e23))
& e22 = op2(e20,op2(e20,e22))
& e21 = op2(e20,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20)) )
| ~ sP129 ),
inference(nnf_transformation,[],[f151]) ).
fof(f237,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP128 ),
inference(nnf_transformation,[],[f150]) ).
fof(f238,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP127 ),
inference(nnf_transformation,[],[f149]) ).
fof(f239,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP126 ),
inference(nnf_transformation,[],[f148]) ).
fof(f240,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP125 ),
inference(nnf_transformation,[],[f147]) ).
fof(f241,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP124 ),
inference(nnf_transformation,[],[f146]) ).
fof(f242,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP123 ),
inference(nnf_transformation,[],[f145]) ).
fof(f243,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP122 ),
inference(nnf_transformation,[],[f144]) ).
fof(f244,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP121 ),
inference(nnf_transformation,[],[f143]) ).
fof(f245,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP120 ),
inference(nnf_transformation,[],[f142]) ).
fof(f246,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP119 ),
inference(nnf_transformation,[],[f141]) ).
fof(f247,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP118 ),
inference(nnf_transformation,[],[f140]) ).
fof(f248,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP117 ),
inference(nnf_transformation,[],[f139]) ).
fof(f249,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP116 ),
inference(nnf_transformation,[],[f138]) ).
fof(f250,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP115 ),
inference(nnf_transformation,[],[f137]) ).
fof(f251,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP114 ),
inference(nnf_transformation,[],[f136]) ).
fof(f252,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP113 ),
inference(nnf_transformation,[],[f135]) ).
fof(f253,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP112 ),
inference(nnf_transformation,[],[f134]) ).
fof(f254,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP111 ),
inference(nnf_transformation,[],[f133]) ).
fof(f255,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP110 ),
inference(nnf_transformation,[],[f132]) ).
fof(f256,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP109 ),
inference(nnf_transformation,[],[f131]) ).
fof(f257,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP108 ),
inference(nnf_transformation,[],[f130]) ).
fof(f258,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP107 ),
inference(nnf_transformation,[],[f129]) ).
fof(f259,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP106 ),
inference(nnf_transformation,[],[f128]) ).
fof(f260,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP105 ),
inference(nnf_transformation,[],[f127]) ).
fof(f261,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP104 ),
inference(nnf_transformation,[],[f126]) ).
fof(f262,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP103 ),
inference(nnf_transformation,[],[f125]) ).
fof(f263,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP102 ),
inference(nnf_transformation,[],[f124]) ).
fof(f264,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP101 ),
inference(nnf_transformation,[],[f123]) ).
fof(f265,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP100 ),
inference(nnf_transformation,[],[f122]) ).
fof(f266,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP99 ),
inference(nnf_transformation,[],[f121]) ).
fof(f267,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP98 ),
inference(nnf_transformation,[],[f120]) ).
fof(f268,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP97 ),
inference(nnf_transformation,[],[f119]) ).
fof(f269,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP96 ),
inference(nnf_transformation,[],[f118]) ).
fof(f270,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP95 ),
inference(nnf_transformation,[],[f117]) ).
fof(f271,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP94 ),
inference(nnf_transformation,[],[f116]) ).
fof(f272,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP93 ),
inference(nnf_transformation,[],[f115]) ).
fof(f273,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP92 ),
inference(nnf_transformation,[],[f114]) ).
fof(f274,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP91 ),
inference(nnf_transformation,[],[f113]) ).
fof(f275,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP90 ),
inference(nnf_transformation,[],[f112]) ).
fof(f276,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP89 ),
inference(nnf_transformation,[],[f111]) ).
fof(f277,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP88 ),
inference(nnf_transformation,[],[f110]) ).
fof(f278,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP87 ),
inference(nnf_transformation,[],[f109]) ).
fof(f279,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP86 ),
inference(nnf_transformation,[],[f108]) ).
fof(f280,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP85 ),
inference(nnf_transformation,[],[f107]) ).
fof(f281,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP84 ),
inference(nnf_transformation,[],[f106]) ).
fof(f282,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP83 ),
inference(nnf_transformation,[],[f105]) ).
fof(f283,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP82 ),
inference(nnf_transformation,[],[f104]) ).
fof(f284,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP81 ),
inference(nnf_transformation,[],[f103]) ).
fof(f285,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP80 ),
inference(nnf_transformation,[],[f102]) ).
fof(f286,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP79 ),
inference(nnf_transformation,[],[f101]) ).
fof(f287,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP78 ),
inference(nnf_transformation,[],[f100]) ).
fof(f288,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP77 ),
inference(nnf_transformation,[],[f99]) ).
fof(f289,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP76 ),
inference(nnf_transformation,[],[f98]) ).
fof(f290,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP75 ),
inference(nnf_transformation,[],[f97]) ).
fof(f291,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP74 ),
inference(nnf_transformation,[],[f96]) ).
fof(f292,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP73 ),
inference(nnf_transformation,[],[f95]) ).
fof(f293,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP72 ),
inference(nnf_transformation,[],[f94]) ).
fof(f294,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP71 ),
inference(nnf_transformation,[],[f93]) ).
fof(f295,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP70 ),
inference(nnf_transformation,[],[f92]) ).
fof(f296,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP69 ),
inference(nnf_transformation,[],[f91]) ).
fof(f297,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP68 ),
inference(nnf_transformation,[],[f90]) ).
fof(f298,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP67 ),
inference(nnf_transformation,[],[f89]) ).
fof(f299,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP66 ),
inference(nnf_transformation,[],[f88]) ).
fof(f306,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP137 ),
inference(nnf_transformation,[],[f160]) ).
fof(f307,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP136 ),
inference(nnf_transformation,[],[f159]) ).
fof(f308,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP135 ),
inference(nnf_transformation,[],[f158]) ).
fof(f312,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f314,plain,
( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f317,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f319,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f320,plain,
( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f334,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f335,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f336,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f337,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f339,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f347,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f348,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f356,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f358,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f363,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f365,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f367,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f368,plain,
( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f371,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f380,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f381,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f383,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f385,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f386,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f387,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f393,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f394,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f403,plain,
( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f405,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f406,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f408,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f409,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f410,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f413,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f415,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f419,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f421,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f422,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f425,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f426,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f430,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f432,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f433,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f435,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f442,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f444,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f447,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f451,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f453,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f454,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f457,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f462,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f467,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f475,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f476,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f477,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f478,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f479,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f482,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f483,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f486,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f488,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f490,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f491,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f492,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f493,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f494,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f495,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f496,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f497,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f499,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f502,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f503,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f504,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f505,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f506,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f507,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f508,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f509,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f510,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f511,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f512,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f513,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f514,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f515,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f533,plain,
( e11 = op1(e12,op1(e12,e11))
| ~ sP65 ),
inference(cnf_transformation,[],[f168]) ).
fof(f539,plain,
( e12 = op1(e13,e13)
| e13 != op1(e13,e12)
| ~ sP65 ),
inference(cnf_transformation,[],[f168]) ).
fof(f544,plain,
( op1(e10,e10) = e11
| e10 != op1(e10,e11)
| ~ sP64 ),
inference(cnf_transformation,[],[f169]) ).
fof(f549,plain,
( e11 = op1(e10,op1(e10,e11))
| ~ sP63 ),
inference(cnf_transformation,[],[f170]) ).
fof(f556,plain,
( e13 = op1(e13,e13)
| ~ sP62 ),
inference(cnf_transformation,[],[f171]) ).
fof(f557,plain,
( e13 != op1(e13,e13)
| ~ sP62 ),
inference(cnf_transformation,[],[f171]) ).
fof(f560,plain,
( e13 = op1(e13,e13)
| ~ sP61 ),
inference(cnf_transformation,[],[f172]) ).
fof(f561,plain,
( e13 != op1(e13,e13)
| ~ sP61 ),
inference(cnf_transformation,[],[f172]) ).
fof(f564,plain,
( e13 = op1(e13,e13)
| ~ sP60 ),
inference(cnf_transformation,[],[f173]) ).
fof(f565,plain,
( e13 != op1(e13,e13)
| ~ sP60 ),
inference(cnf_transformation,[],[f173]) ).
fof(f568,plain,
( e13 = op1(e13,e12)
| ~ sP59 ),
inference(cnf_transformation,[],[f174]) ).
fof(f569,plain,
( e12 != op1(e13,e13)
| ~ sP59 ),
inference(cnf_transformation,[],[f174]) ).
fof(f570,plain,
( e12 = op1(e13,e13)
| ~ sP59 ),
inference(cnf_transformation,[],[f174]) ).
fof(f572,plain,
( e13 = op1(e13,e12)
| ~ sP58 ),
inference(cnf_transformation,[],[f175]) ).
fof(f574,plain,
( e12 = op1(e12,e12)
| ~ sP58 ),
inference(cnf_transformation,[],[f175]) ).
fof(f575,plain,
( e12 != op1(e12,e12)
| ~ sP58 ),
inference(cnf_transformation,[],[f175]) ).
fof(f576,plain,
( e13 = op1(e13,e12)
| ~ sP57 ),
inference(cnf_transformation,[],[f176]) ).
fof(f579,plain,
( e11 != op1(e11,e12)
| ~ sP57 ),
inference(cnf_transformation,[],[f176]) ).
fof(f580,plain,
( e13 = op1(e13,e12)
| ~ sP56 ),
inference(cnf_transformation,[],[f177]) ).
fof(f582,plain,
( op1(e10,e10) = e12
| ~ sP56 ),
inference(cnf_transformation,[],[f177]) ).
fof(f584,plain,
( e13 = op1(e13,e11)
| ~ sP55 ),
inference(cnf_transformation,[],[f178]) ).
fof(f585,plain,
( e11 != op1(e13,e13)
| ~ sP55 ),
inference(cnf_transformation,[],[f178]) ).
fof(f586,plain,
( e11 = op1(e13,e13)
| ~ sP55 ),
inference(cnf_transformation,[],[f178]) ).
fof(f588,plain,
( e13 = op1(e13,e11)
| ~ sP54 ),
inference(cnf_transformation,[],[f179]) ).
fof(f592,plain,
( e13 = op1(e13,e11)
| ~ sP53 ),
inference(cnf_transformation,[],[f180]) ).
fof(f594,plain,
( e11 = op1(e11,e11)
| ~ sP53 ),
inference(cnf_transformation,[],[f180]) ).
fof(f595,plain,
( e11 != op1(e11,e11)
| ~ sP53 ),
inference(cnf_transformation,[],[f180]) ).
fof(f596,plain,
( e13 = op1(e13,e11)
| ~ sP52 ),
inference(cnf_transformation,[],[f181]) ).
fof(f600,plain,
( e13 = op1(e13,e10)
| ~ sP51 ),
inference(cnf_transformation,[],[f182]) ).
fof(f601,plain,
( e10 != op1(e13,e13)
| ~ sP51 ),
inference(cnf_transformation,[],[f182]) ).
fof(f602,plain,
( e10 = op1(e13,e13)
| ~ sP51 ),
inference(cnf_transformation,[],[f182]) ).
fof(f605,plain,
( e10 != op1(e13,e13)
| ~ sP50 ),
inference(cnf_transformation,[],[f183]) ).
fof(f610,plain,
( e10 = op1(e11,e11)
| ~ sP49 ),
inference(cnf_transformation,[],[f184]) ).
fof(f612,plain,
( e13 = op1(e13,e10)
| ~ sP48 ),
inference(cnf_transformation,[],[f185]) ).
fof(f614,plain,
( e10 = op1(e10,e10)
| ~ sP48 ),
inference(cnf_transformation,[],[f185]) ).
fof(f615,plain,
( e10 != op1(e10,e10)
| ~ sP48 ),
inference(cnf_transformation,[],[f185]) ).
fof(f616,plain,
( e12 = op1(e12,e13)
| ~ sP47 ),
inference(cnf_transformation,[],[f186]) ).
fof(f618,plain,
( e13 = op1(e13,e13)
| ~ sP47 ),
inference(cnf_transformation,[],[f186]) ).
fof(f619,plain,
( e13 != op1(e13,e13)
| ~ sP47 ),
inference(cnf_transformation,[],[f186]) ).
fof(f620,plain,
( e12 = op1(e12,e13)
| ~ sP46 ),
inference(cnf_transformation,[],[f187]) ).
fof(f621,plain,
( e13 != op1(e12,e12)
| ~ sP46 ),
inference(cnf_transformation,[],[f187]) ).
fof(f622,plain,
( e13 = op1(e12,e12)
| ~ sP46 ),
inference(cnf_transformation,[],[f187]) ).
fof(f626,plain,
( e13 = op1(e11,e11)
| ~ sP45 ),
inference(cnf_transformation,[],[f188]) ).
fof(f630,plain,
( op1(e10,e10) = e13
| ~ sP44 ),
inference(cnf_transformation,[],[f189]) ).
fof(f632,plain,
( e12 = op1(e12,e12)
| ~ sP43 ),
inference(cnf_transformation,[],[f190]) ).
fof(f633,plain,
( e12 != op1(e12,e12)
| ~ sP43 ),
inference(cnf_transformation,[],[f190]) ).
fof(f636,plain,
( e12 = op1(e12,e12)
| ~ sP42 ),
inference(cnf_transformation,[],[f191]) ).
fof(f637,plain,
( e12 != op1(e12,e12)
| ~ sP42 ),
inference(cnf_transformation,[],[f191]) ).
fof(f640,plain,
( e12 = op1(e12,e12)
| ~ sP41 ),
inference(cnf_transformation,[],[f192]) ).
fof(f641,plain,
( e12 != op1(e12,e12)
| ~ sP41 ),
inference(cnf_transformation,[],[f192]) ).
fof(f644,plain,
( e12 = op1(e12,e12)
| ~ sP40 ),
inference(cnf_transformation,[],[f193]) ).
fof(f645,plain,
( e12 != op1(e12,e12)
| ~ sP40 ),
inference(cnf_transformation,[],[f193]) ).
fof(f648,plain,
( e12 = op1(e12,e11)
| ~ sP39 ),
inference(cnf_transformation,[],[f194]) ).
fof(f652,plain,
( e12 = op1(e12,e11)
| ~ sP38 ),
inference(cnf_transformation,[],[f195]) ).
fof(f653,plain,
( e11 != op1(e12,e12)
| ~ sP38 ),
inference(cnf_transformation,[],[f195]) ).
fof(f654,plain,
( e11 = op1(e12,e12)
| ~ sP38 ),
inference(cnf_transformation,[],[f195]) ).
fof(f656,plain,
( e12 = op1(e12,e11)
| ~ sP37 ),
inference(cnf_transformation,[],[f196]) ).
fof(f658,plain,
( e11 = op1(e11,e11)
| ~ sP37 ),
inference(cnf_transformation,[],[f196]) ).
fof(f659,plain,
( e11 != op1(e11,e11)
| ~ sP37 ),
inference(cnf_transformation,[],[f196]) ).
fof(f660,plain,
( e12 = op1(e12,e11)
| ~ sP36 ),
inference(cnf_transformation,[],[f197]) ).
fof(f664,plain,
( e12 = op1(e12,e10)
| ~ sP35 ),
inference(cnf_transformation,[],[f198]) ).
fof(f667,plain,
( e13 != op1(e13,e10)
| ~ sP35 ),
inference(cnf_transformation,[],[f198]) ).
fof(f668,plain,
( e12 = op1(e12,e10)
| ~ sP34 ),
inference(cnf_transformation,[],[f199]) ).
fof(f669,plain,
( e10 != op1(e12,e12)
| ~ sP34 ),
inference(cnf_transformation,[],[f199]) ).
fof(f670,plain,
( e10 = op1(e12,e12)
| ~ sP34 ),
inference(cnf_transformation,[],[f199]) ).
fof(f674,plain,
( e10 = op1(e11,e11)
| ~ sP33 ),
inference(cnf_transformation,[],[f200]) ).
fof(f676,plain,
( e12 = op1(e12,e10)
| ~ sP32 ),
inference(cnf_transformation,[],[f201]) ).
fof(f678,plain,
( e10 = op1(e10,e10)
| ~ sP32 ),
inference(cnf_transformation,[],[f201]) ).
fof(f679,plain,
( e10 != op1(e10,e10)
| ~ sP32 ),
inference(cnf_transformation,[],[f201]) ).
fof(f680,plain,
( e11 = op1(e11,e13)
| ~ sP31 ),
inference(cnf_transformation,[],[f202]) ).
fof(f682,plain,
( e13 = op1(e13,e13)
| ~ sP31 ),
inference(cnf_transformation,[],[f202]) ).
fof(f683,plain,
( e13 != op1(e13,e13)
| ~ sP31 ),
inference(cnf_transformation,[],[f202]) ).
fof(f686,plain,
( e13 = op1(e12,e12)
| ~ sP30 ),
inference(cnf_transformation,[],[f203]) ).
fof(f688,plain,
( e11 = op1(e11,e13)
| ~ sP29 ),
inference(cnf_transformation,[],[f204]) ).
fof(f689,plain,
( e13 != op1(e11,e11)
| ~ sP29 ),
inference(cnf_transformation,[],[f204]) ).
fof(f690,plain,
( e13 = op1(e11,e11)
| ~ sP29 ),
inference(cnf_transformation,[],[f204]) ).
fof(f694,plain,
( op1(e10,e10) = e13
| ~ sP28 ),
inference(cnf_transformation,[],[f205]) ).
fof(f697,plain,
( e12 != op1(e11,e11)
| ~ sP27 ),
inference(cnf_transformation,[],[f206]) ).
fof(f701,plain,
( e12 != op1(e11,e11)
| ~ sP26 ),
inference(cnf_transformation,[],[f207]) ).
fof(f705,plain,
( e12 != op1(e11,e11)
| ~ sP25 ),
inference(cnf_transformation,[],[f208]) ).
fof(f709,plain,
( e12 != op1(e11,e11)
| ~ sP24 ),
inference(cnf_transformation,[],[f209]) ).
fof(f712,plain,
( e11 = op1(e11,e11)
| ~ sP23 ),
inference(cnf_transformation,[],[f210]) ).
fof(f713,plain,
( e11 != op1(e11,e11)
| ~ sP23 ),
inference(cnf_transformation,[],[f210]) ).
fof(f716,plain,
( e11 = op1(e11,e11)
| ~ sP22 ),
inference(cnf_transformation,[],[f211]) ).
fof(f717,plain,
( e11 != op1(e11,e11)
| ~ sP22 ),
inference(cnf_transformation,[],[f211]) ).
fof(f720,plain,
( e11 = op1(e11,e11)
| ~ sP21 ),
inference(cnf_transformation,[],[f212]) ).
fof(f721,plain,
( e11 != op1(e11,e11)
| ~ sP21 ),
inference(cnf_transformation,[],[f212]) ).
fof(f724,plain,
( e11 = op1(e11,e11)
| ~ sP20 ),
inference(cnf_transformation,[],[f213]) ).
fof(f725,plain,
( e11 != op1(e11,e11)
| ~ sP20 ),
inference(cnf_transformation,[],[f213]) ).
fof(f728,plain,
( e11 = op1(e11,e10)
| ~ sP19 ),
inference(cnf_transformation,[],[f214]) ).
fof(f731,plain,
( e13 != op1(e13,e10)
| ~ sP19 ),
inference(cnf_transformation,[],[f214]) ).
fof(f732,plain,
( e11 = op1(e11,e10)
| ~ sP18 ),
inference(cnf_transformation,[],[f215]) ).
fof(f736,plain,
( e11 = op1(e11,e10)
| ~ sP17 ),
inference(cnf_transformation,[],[f216]) ).
fof(f737,plain,
( e10 != op1(e11,e11)
| ~ sP17 ),
inference(cnf_transformation,[],[f216]) ).
fof(f738,plain,
( e10 = op1(e11,e11)
| ~ sP17 ),
inference(cnf_transformation,[],[f216]) ).
fof(f740,plain,
( e11 = op1(e11,e10)
| ~ sP16 ),
inference(cnf_transformation,[],[f217]) ).
fof(f742,plain,
( e10 = op1(e10,e10)
| ~ sP16 ),
inference(cnf_transformation,[],[f217]) ).
fof(f743,plain,
( e10 != op1(e10,e10)
| ~ sP16 ),
inference(cnf_transformation,[],[f217]) ).
fof(f744,plain,
( e10 = op1(e10,e13)
| ~ sP15 ),
inference(cnf_transformation,[],[f218]) ).
fof(f746,plain,
( e13 = op1(e13,e13)
| ~ sP15 ),
inference(cnf_transformation,[],[f218]) ).
fof(f747,plain,
( e13 != op1(e13,e13)
| ~ sP15 ),
inference(cnf_transformation,[],[f218]) ).
fof(f750,plain,
( e13 = op1(e12,e12)
| ~ sP14 ),
inference(cnf_transformation,[],[f219]) ).
fof(f754,plain,
( e13 = op1(e11,e11)
| ~ sP13 ),
inference(cnf_transformation,[],[f220]) ).
fof(f756,plain,
( e10 = op1(e10,e13)
| ~ sP12 ),
inference(cnf_transformation,[],[f221]) ).
fof(f757,plain,
( op1(e10,e10) != e13
| ~ sP12 ),
inference(cnf_transformation,[],[f221]) ).
fof(f758,plain,
( op1(e10,e10) = e13
| ~ sP12 ),
inference(cnf_transformation,[],[f221]) ).
fof(f762,plain,
( e12 = op1(e13,e13)
| ~ sP11 ),
inference(cnf_transformation,[],[f222]) ).
fof(f764,plain,
( e10 = op1(e10,e12)
| ~ sP10 ),
inference(cnf_transformation,[],[f223]) ).
fof(f766,plain,
( e12 = op1(e12,e12)
| ~ sP10 ),
inference(cnf_transformation,[],[f223]) ).
fof(f767,plain,
( e12 != op1(e12,e12)
| ~ sP10 ),
inference(cnf_transformation,[],[f223]) ).
fof(f768,plain,
( e10 = op1(e10,e12)
| ~ sP9 ),
inference(cnf_transformation,[],[f224]) ).
fof(f772,plain,
( e10 = op1(e10,e12)
| ~ sP8 ),
inference(cnf_transformation,[],[f225]) ).
fof(f773,plain,
( op1(e10,e10) != e12
| ~ sP8 ),
inference(cnf_transformation,[],[f225]) ).
fof(f774,plain,
( op1(e10,e10) = e12
| ~ sP8 ),
inference(cnf_transformation,[],[f225]) ).
fof(f778,plain,
( e11 = op1(e13,e13)
| ~ sP7 ),
inference(cnf_transformation,[],[f226]) ).
fof(f781,plain,
( op1(e10,e10) != e11
| ~ sP6 ),
inference(cnf_transformation,[],[f227]) ).
fof(f784,plain,
( e10 = op1(e10,e11)
| ~ sP5 ),
inference(cnf_transformation,[],[f228]) ).
fof(f786,plain,
( e11 = op1(e11,e11)
| ~ sP5 ),
inference(cnf_transformation,[],[f228]) ).
fof(f787,plain,
( e11 != op1(e11,e11)
| ~ sP5 ),
inference(cnf_transformation,[],[f228]) ).
fof(f788,plain,
( e10 = op1(e10,e11)
| ~ sP4 ),
inference(cnf_transformation,[],[f229]) ).
fof(f789,plain,
( op1(e10,e10) != e11
| ~ sP4 ),
inference(cnf_transformation,[],[f229]) ).
fof(f790,plain,
( op1(e10,e10) = e11
| ~ sP4 ),
inference(cnf_transformation,[],[f229]) ).
fof(f792,plain,
( e10 = op1(e10,e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f230]) ).
fof(f793,plain,
( e10 != op1(e10,e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f230]) ).
fof(f796,plain,
( e10 = op1(e10,e10)
| ~ sP2 ),
inference(cnf_transformation,[],[f231]) ).
fof(f797,plain,
( e10 != op1(e10,e10)
| ~ sP2 ),
inference(cnf_transformation,[],[f231]) ).
fof(f800,plain,
( e10 = op1(e10,e10)
| ~ sP1 ),
inference(cnf_transformation,[],[f232]) ).
fof(f801,plain,
( e10 != op1(e10,e10)
| ~ sP1 ),
inference(cnf_transformation,[],[f232]) ).
fof(f804,plain,
( e10 = op1(e10,e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f233]) ).
fof(f805,plain,
( e10 != op1(e10,e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f233]) ).
fof(f808,plain,
( e13 = op1(e13,e13)
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f809,plain,
( e13 != op1(e13,e13)
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f811,plain,
( e13 != op1(e13,e13)
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f815,plain,
( e13 = op1(e13,op1(e13,e13))
| sP65
| sP64
| sP63 ),
inference(cnf_transformation,[],[f87]) ).
fof(f818,plain,
( e13 = op1(e12,e12)
| e12 != op1(e12,e13)
| sP65
| sP64
| sP63 ),
inference(cnf_transformation,[],[f87]) ).
fof(f823,plain,
( e23 = op2(e22,op2(e22,e23))
| ~ sP131 ),
inference(cnf_transformation,[],[f234]) ).
fof(f827,plain,
( e22 = op2(e23,e23)
| e23 != op2(e23,e22)
| ~ sP131 ),
inference(cnf_transformation,[],[f234]) ).
fof(f829,plain,
( e21 = op2(e21,op2(e21,e21))
| ~ sP130 ),
inference(cnf_transformation,[],[f235]) ).
fof(f832,plain,
( op2(e20,e20) = e21
| e20 != op2(e20,e21)
| ~ sP130 ),
inference(cnf_transformation,[],[f235]) ).
fof(f837,plain,
( e21 = op2(e20,op2(e20,e21))
| ~ sP129 ),
inference(cnf_transformation,[],[f236]) ).
fof(f841,plain,
( e20 = op2(e21,e21)
| e21 != op2(e21,e20)
| ~ sP129 ),
inference(cnf_transformation,[],[f236]) ).
fof(f842,plain,
( e20 = op2(e22,e22)
| e22 != op2(e22,e20)
| ~ sP129 ),
inference(cnf_transformation,[],[f236]) ).
fof(f844,plain,
( e23 = op2(e23,e23)
| ~ sP128 ),
inference(cnf_transformation,[],[f237]) ).
fof(f845,plain,
( e23 != op2(e23,e23)
| ~ sP128 ),
inference(cnf_transformation,[],[f237]) ).
fof(f848,plain,
( e23 = op2(e23,e23)
| ~ sP127 ),
inference(cnf_transformation,[],[f238]) ).
fof(f849,plain,
( e23 != op2(e23,e23)
| ~ sP127 ),
inference(cnf_transformation,[],[f238]) ).
fof(f852,plain,
( e23 = op2(e23,e23)
| ~ sP126 ),
inference(cnf_transformation,[],[f239]) ).
fof(f853,plain,
( e23 != op2(e23,e23)
| ~ sP126 ),
inference(cnf_transformation,[],[f239]) ).
fof(f856,plain,
( e23 = op2(e23,e22)
| ~ sP125 ),
inference(cnf_transformation,[],[f240]) ).
fof(f857,plain,
( e22 != op2(e23,e23)
| ~ sP125 ),
inference(cnf_transformation,[],[f240]) ).
fof(f858,plain,
( e22 = op2(e23,e23)
| ~ sP125 ),
inference(cnf_transformation,[],[f240]) ).
fof(f860,plain,
( e23 = op2(e23,e22)
| ~ sP124 ),
inference(cnf_transformation,[],[f241]) ).
fof(f862,plain,
( e22 = op2(e22,e22)
| ~ sP124 ),
inference(cnf_transformation,[],[f241]) ).
fof(f863,plain,
( e22 != op2(e22,e22)
| ~ sP124 ),
inference(cnf_transformation,[],[f241]) ).
fof(f864,plain,
( e23 = op2(e23,e22)
| ~ sP123 ),
inference(cnf_transformation,[],[f242]) ).
fof(f867,plain,
( e21 != op2(e21,e22)
| ~ sP123 ),
inference(cnf_transformation,[],[f242]) ).
fof(f868,plain,
( e23 = op2(e23,e22)
| ~ sP122 ),
inference(cnf_transformation,[],[f243]) ).
fof(f870,plain,
( op2(e20,e20) = e22
| ~ sP122 ),
inference(cnf_transformation,[],[f243]) ).
fof(f872,plain,
( e23 = op2(e23,e21)
| ~ sP121 ),
inference(cnf_transformation,[],[f244]) ).
fof(f873,plain,
( e21 != op2(e23,e23)
| ~ sP121 ),
inference(cnf_transformation,[],[f244]) ).
fof(f874,plain,
( e21 = op2(e23,e23)
| ~ sP121 ),
inference(cnf_transformation,[],[f244]) ).
fof(f876,plain,
( e23 = op2(e23,e21)
| ~ sP120 ),
inference(cnf_transformation,[],[f245]) ).
fof(f880,plain,
( e23 = op2(e23,e21)
| ~ sP119 ),
inference(cnf_transformation,[],[f246]) ).
fof(f882,plain,
( e21 = op2(e21,e21)
| ~ sP119 ),
inference(cnf_transformation,[],[f246]) ).
fof(f883,plain,
( e21 != op2(e21,e21)
| ~ sP119 ),
inference(cnf_transformation,[],[f246]) ).
fof(f884,plain,
( e23 = op2(e23,e21)
| ~ sP118 ),
inference(cnf_transformation,[],[f247]) ).
fof(f888,plain,
( e23 = op2(e23,e20)
| ~ sP117 ),
inference(cnf_transformation,[],[f248]) ).
fof(f889,plain,
( e20 != op2(e23,e23)
| ~ sP117 ),
inference(cnf_transformation,[],[f248]) ).
fof(f890,plain,
( e20 = op2(e23,e23)
| ~ sP117 ),
inference(cnf_transformation,[],[f248]) ).
fof(f893,plain,
( e20 != op2(e23,e23)
| ~ sP116 ),
inference(cnf_transformation,[],[f249]) ).
fof(f898,plain,
( e20 = op2(e21,e21)
| ~ sP115 ),
inference(cnf_transformation,[],[f250]) ).
fof(f900,plain,
( e23 = op2(e23,e20)
| ~ sP114 ),
inference(cnf_transformation,[],[f251]) ).
fof(f902,plain,
( e20 = op2(e20,e20)
| ~ sP114 ),
inference(cnf_transformation,[],[f251]) ).
fof(f903,plain,
( e20 != op2(e20,e20)
| ~ sP114 ),
inference(cnf_transformation,[],[f251]) ).
fof(f904,plain,
( e22 = op2(e22,e23)
| ~ sP113 ),
inference(cnf_transformation,[],[f252]) ).
fof(f906,plain,
( e23 = op2(e23,e23)
| ~ sP113 ),
inference(cnf_transformation,[],[f252]) ).
fof(f907,plain,
( e23 != op2(e23,e23)
| ~ sP113 ),
inference(cnf_transformation,[],[f252]) ).
fof(f908,plain,
( e22 = op2(e22,e23)
| ~ sP112 ),
inference(cnf_transformation,[],[f253]) ).
fof(f909,plain,
( e23 != op2(e22,e22)
| ~ sP112 ),
inference(cnf_transformation,[],[f253]) ).
fof(f910,plain,
( e23 = op2(e22,e22)
| ~ sP112 ),
inference(cnf_transformation,[],[f253]) ).
fof(f914,plain,
( e23 = op2(e21,e21)
| ~ sP111 ),
inference(cnf_transformation,[],[f254]) ).
fof(f916,plain,
( e22 = op2(e22,e23)
| ~ sP110 ),
inference(cnf_transformation,[],[f255]) ).
fof(f918,plain,
( op2(e20,e20) = e23
| ~ sP110 ),
inference(cnf_transformation,[],[f255]) ).
fof(f920,plain,
( e22 = op2(e22,e22)
| ~ sP109 ),
inference(cnf_transformation,[],[f256]) ).
fof(f921,plain,
( e22 != op2(e22,e22)
| ~ sP109 ),
inference(cnf_transformation,[],[f256]) ).
fof(f924,plain,
( e22 = op2(e22,e22)
| ~ sP108 ),
inference(cnf_transformation,[],[f257]) ).
fof(f925,plain,
( e22 != op2(e22,e22)
| ~ sP108 ),
inference(cnf_transformation,[],[f257]) ).
fof(f928,plain,
( e22 = op2(e22,e22)
| ~ sP107 ),
inference(cnf_transformation,[],[f258]) ).
fof(f929,plain,
( e22 != op2(e22,e22)
| ~ sP107 ),
inference(cnf_transformation,[],[f258]) ).
fof(f932,plain,
( e22 = op2(e22,e22)
| ~ sP106 ),
inference(cnf_transformation,[],[f259]) ).
fof(f933,plain,
( e22 != op2(e22,e22)
| ~ sP106 ),
inference(cnf_transformation,[],[f259]) ).
fof(f936,plain,
( e22 = op2(e22,e21)
| ~ sP105 ),
inference(cnf_transformation,[],[f260]) ).
fof(f940,plain,
( e22 = op2(e22,e21)
| ~ sP104 ),
inference(cnf_transformation,[],[f261]) ).
fof(f941,plain,
( e21 != op2(e22,e22)
| ~ sP104 ),
inference(cnf_transformation,[],[f261]) ).
fof(f942,plain,
( e21 = op2(e22,e22)
| ~ sP104 ),
inference(cnf_transformation,[],[f261]) ).
fof(f944,plain,
( e22 = op2(e22,e21)
| ~ sP103 ),
inference(cnf_transformation,[],[f262]) ).
fof(f946,plain,
( e21 = op2(e21,e21)
| ~ sP103 ),
inference(cnf_transformation,[],[f262]) ).
fof(f947,plain,
( e21 != op2(e21,e21)
| ~ sP103 ),
inference(cnf_transformation,[],[f262]) ).
fof(f948,plain,
( e22 = op2(e22,e21)
| ~ sP102 ),
inference(cnf_transformation,[],[f263]) ).
fof(f952,plain,
( e22 = op2(e22,e20)
| ~ sP101 ),
inference(cnf_transformation,[],[f264]) ).
fof(f953,plain,
( e20 != op2(e22,e22)
| ~ sP101 ),
inference(cnf_transformation,[],[f264]) ).
fof(f955,plain,
( e23 != op2(e23,e20)
| ~ sP101 ),
inference(cnf_transformation,[],[f264]) ).
fof(f956,plain,
( e22 = op2(e22,e20)
| ~ sP100 ),
inference(cnf_transformation,[],[f265]) ).
fof(f957,plain,
( e20 != op2(e22,e22)
| ~ sP100 ),
inference(cnf_transformation,[],[f265]) ).
fof(f958,plain,
( e20 = op2(e22,e22)
| ~ sP100 ),
inference(cnf_transformation,[],[f265]) ).
fof(f962,plain,
( e20 = op2(e21,e21)
| ~ sP99 ),
inference(cnf_transformation,[],[f266]) ).
fof(f964,plain,
( e22 = op2(e22,e20)
| ~ sP98 ),
inference(cnf_transformation,[],[f267]) ).
fof(f966,plain,
( e20 = op2(e20,e20)
| ~ sP98 ),
inference(cnf_transformation,[],[f267]) ).
fof(f967,plain,
( e20 != op2(e20,e20)
| ~ sP98 ),
inference(cnf_transformation,[],[f267]) ).
fof(f968,plain,
( e21 = op2(e21,e23)
| ~ sP97 ),
inference(cnf_transformation,[],[f268]) ).
fof(f970,plain,
( e23 = op2(e23,e23)
| ~ sP97 ),
inference(cnf_transformation,[],[f268]) ).
fof(f971,plain,
( e23 != op2(e23,e23)
| ~ sP97 ),
inference(cnf_transformation,[],[f268]) ).
fof(f974,plain,
( e23 = op2(e22,e22)
| ~ sP96 ),
inference(cnf_transformation,[],[f269]) ).
fof(f976,plain,
( e21 = op2(e21,e23)
| ~ sP95 ),
inference(cnf_transformation,[],[f270]) ).
fof(f977,plain,
( e23 != op2(e21,e21)
| ~ sP95 ),
inference(cnf_transformation,[],[f270]) ).
fof(f978,plain,
( e23 = op2(e21,e21)
| ~ sP95 ),
inference(cnf_transformation,[],[f270]) ).
fof(f980,plain,
( e21 = op2(e21,e23)
| ~ sP94 ),
inference(cnf_transformation,[],[f271]) ).
fof(f982,plain,
( op2(e20,e20) = e23
| ~ sP94 ),
inference(cnf_transformation,[],[f271]) ).
fof(f985,plain,
( e22 != op2(e21,e21)
| ~ sP93 ),
inference(cnf_transformation,[],[f272]) ).
fof(f989,plain,
( e22 != op2(e21,e21)
| ~ sP92 ),
inference(cnf_transformation,[],[f273]) ).
fof(f993,plain,
( e22 != op2(e21,e21)
| ~ sP91 ),
inference(cnf_transformation,[],[f274]) ).
fof(f997,plain,
( e22 != op2(e21,e21)
| ~ sP90 ),
inference(cnf_transformation,[],[f275]) ).
fof(f1000,plain,
( e21 = op2(e21,e21)
| ~ sP89 ),
inference(cnf_transformation,[],[f276]) ).
fof(f1001,plain,
( e21 != op2(e21,e21)
| ~ sP89 ),
inference(cnf_transformation,[],[f276]) ).
fof(f1004,plain,
( e21 = op2(e21,e21)
| ~ sP88 ),
inference(cnf_transformation,[],[f277]) ).
fof(f1005,plain,
( e21 != op2(e21,e21)
| ~ sP88 ),
inference(cnf_transformation,[],[f277]) ).
fof(f1008,plain,
( e21 = op2(e21,e21)
| ~ sP87 ),
inference(cnf_transformation,[],[f278]) ).
fof(f1009,plain,
( e21 != op2(e21,e21)
| ~ sP87 ),
inference(cnf_transformation,[],[f278]) ).
fof(f1012,plain,
( e21 = op2(e21,e21)
| ~ sP86 ),
inference(cnf_transformation,[],[f279]) ).
fof(f1013,plain,
( e21 != op2(e21,e21)
| ~ sP86 ),
inference(cnf_transformation,[],[f279]) ).
fof(f1016,plain,
( e21 = op2(e21,e20)
| ~ sP85 ),
inference(cnf_transformation,[],[f280]) ).
fof(f1019,plain,
( e23 != op2(e23,e20)
| ~ sP85 ),
inference(cnf_transformation,[],[f280]) ).
fof(f1020,plain,
( e21 = op2(e21,e20)
| ~ sP84 ),
inference(cnf_transformation,[],[f281]) ).
fof(f1023,plain,
( e22 != op2(e22,e20)
| ~ sP84 ),
inference(cnf_transformation,[],[f281]) ).
fof(f1024,plain,
( e21 = op2(e21,e20)
| ~ sP83 ),
inference(cnf_transformation,[],[f282]) ).
fof(f1025,plain,
( e20 != op2(e21,e21)
| ~ sP83 ),
inference(cnf_transformation,[],[f282]) ).
fof(f1026,plain,
( e20 = op2(e21,e21)
| ~ sP83 ),
inference(cnf_transformation,[],[f282]) ).
fof(f1028,plain,
( e21 = op2(e21,e20)
| ~ sP82 ),
inference(cnf_transformation,[],[f283]) ).
fof(f1030,plain,
( e20 = op2(e20,e20)
| ~ sP82 ),
inference(cnf_transformation,[],[f283]) ).
fof(f1031,plain,
( e20 != op2(e20,e20)
| ~ sP82 ),
inference(cnf_transformation,[],[f283]) ).
fof(f1032,plain,
( e20 = op2(e20,e23)
| ~ sP81 ),
inference(cnf_transformation,[],[f284]) ).
fof(f1034,plain,
( e23 = op2(e23,e23)
| ~ sP81 ),
inference(cnf_transformation,[],[f284]) ).
fof(f1035,plain,
( e23 != op2(e23,e23)
| ~ sP81 ),
inference(cnf_transformation,[],[f284]) ).
fof(f1038,plain,
( e23 = op2(e22,e22)
| ~ sP80 ),
inference(cnf_transformation,[],[f285]) ).
fof(f1042,plain,
( e23 = op2(e21,e21)
| ~ sP79 ),
inference(cnf_transformation,[],[f286]) ).
fof(f1044,plain,
( e20 = op2(e20,e23)
| ~ sP78 ),
inference(cnf_transformation,[],[f287]) ).
fof(f1045,plain,
( op2(e20,e20) != e23
| ~ sP78 ),
inference(cnf_transformation,[],[f287]) ).
fof(f1046,plain,
( op2(e20,e20) = e23
| ~ sP78 ),
inference(cnf_transformation,[],[f287]) ).
fof(f1050,plain,
( e22 = op2(e23,e23)
| ~ sP77 ),
inference(cnf_transformation,[],[f288]) ).
fof(f1052,plain,
( e20 = op2(e20,e22)
| ~ sP76 ),
inference(cnf_transformation,[],[f289]) ).
fof(f1054,plain,
( e22 = op2(e22,e22)
| ~ sP76 ),
inference(cnf_transformation,[],[f289]) ).
fof(f1055,plain,
( e22 != op2(e22,e22)
| ~ sP76 ),
inference(cnf_transformation,[],[f289]) ).
fof(f1056,plain,
( e20 = op2(e20,e22)
| ~ sP75 ),
inference(cnf_transformation,[],[f290]) ).
fof(f1060,plain,
( e20 = op2(e20,e22)
| ~ sP74 ),
inference(cnf_transformation,[],[f291]) ).
fof(f1061,plain,
( op2(e20,e20) != e22
| ~ sP74 ),
inference(cnf_transformation,[],[f291]) ).
fof(f1062,plain,
( op2(e20,e20) = e22
| ~ sP74 ),
inference(cnf_transformation,[],[f291]) ).
fof(f1066,plain,
( e21 = op2(e23,e23)
| ~ sP73 ),
inference(cnf_transformation,[],[f292]) ).
fof(f1069,plain,
( op2(e20,e20) != e21
| ~ sP72 ),
inference(cnf_transformation,[],[f293]) ).
fof(f1070,plain,
( e21 = op2(e22,e22)
| ~ sP72 ),
inference(cnf_transformation,[],[f293]) ).
fof(f1072,plain,
( e20 = op2(e20,e21)
| ~ sP71 ),
inference(cnf_transformation,[],[f294]) ).
fof(f1074,plain,
( e21 = op2(e21,e21)
| ~ sP71 ),
inference(cnf_transformation,[],[f294]) ).
fof(f1075,plain,
( e21 != op2(e21,e21)
| ~ sP71 ),
inference(cnf_transformation,[],[f294]) ).
fof(f1076,plain,
( e20 = op2(e20,e21)
| ~ sP70 ),
inference(cnf_transformation,[],[f295]) ).
fof(f1077,plain,
( op2(e20,e20) != e21
| ~ sP70 ),
inference(cnf_transformation,[],[f295]) ).
fof(f1078,plain,
( op2(e20,e20) = e21
| ~ sP70 ),
inference(cnf_transformation,[],[f295]) ).
fof(f1080,plain,
( e20 = op2(e20,e20)
| ~ sP69 ),
inference(cnf_transformation,[],[f296]) ).
fof(f1081,plain,
( e20 != op2(e20,e20)
| ~ sP69 ),
inference(cnf_transformation,[],[f296]) ).
fof(f1084,plain,
( e20 = op2(e20,e20)
| ~ sP68 ),
inference(cnf_transformation,[],[f297]) ).
fof(f1085,plain,
( e20 != op2(e20,e20)
| ~ sP68 ),
inference(cnf_transformation,[],[f297]) ).
fof(f1088,plain,
( e20 = op2(e20,e20)
| ~ sP67 ),
inference(cnf_transformation,[],[f298]) ).
fof(f1089,plain,
( e20 != op2(e20,e20)
| ~ sP67 ),
inference(cnf_transformation,[],[f298]) ).
fof(f1092,plain,
( e20 = op2(e20,e20)
| ~ sP66 ),
inference(cnf_transformation,[],[f299]) ).
fof(f1093,plain,
( e20 != op2(e20,e20)
| ~ sP66 ),
inference(cnf_transformation,[],[f299]) ).
fof(f1096,plain,
( e23 = op2(e23,e23)
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66 ),
inference(cnf_transformation,[],[f154]) ).
fof(f1097,plain,
( e23 != op2(e23,e23)
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66 ),
inference(cnf_transformation,[],[f154]) ).
fof(f1099,plain,
( e23 != op2(e23,e23)
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66 ),
inference(cnf_transformation,[],[f154]) ).
fof(f1103,plain,
( e23 = op2(e23,op2(e23,e23))
| sP131
| sP130
| sP129 ),
inference(cnf_transformation,[],[f154]) ).
fof(f1106,plain,
( e23 = op2(e22,e22)
| e22 != op2(e22,e23)
| sP131
| sP130
| sP129 ),
inference(cnf_transformation,[],[f154]) ).
fof(f1108,plain,
e10 = op1(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f1109,plain,
e12 = op1(e11,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f1110,plain,
e13 = op1(op1(e11,e11),e11),
inference(cnf_transformation,[],[f12]) ).
fof(f1111,plain,
e20 = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f1112,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f1113,plain,
e23 = op2(op2(e21,e21),e21),
inference(cnf_transformation,[],[f13]) ).
fof(f1116,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f1118,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f1119,plain,
op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f1120,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f1121,plain,
op2(op2(e21,e21),e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f1124,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f1128,plain,
op2(e23,e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f1129,plain,
op2(op2(e23,e23),e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f1156,plain,
( e22 != h2(e12)
| ~ sP137 ),
inference(cnf_transformation,[],[f306]) ).
fof(f1159,plain,
( e21 != h2(e11)
| ~ sP136 ),
inference(cnf_transformation,[],[f307]) ).
fof(f1162,plain,
( e20 != h2(e10)
| ~ sP135 ),
inference(cnf_transformation,[],[f308]) ).
fof(f1185,plain,
( e23 != h2(e13)
| sP137
| sP136
| sP135
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_56,plain,
( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[],[f320]) ).
cnf(c_57,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(cnf_transformation,[],[f319]) ).
cnf(c_59,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[],[f317]) ).
cnf(c_62,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[],[f314]) ).
cnf(c_64,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f312]) ).
cnf(c_66,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[],[f358]) ).
cnf(c_68,plain,
( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[],[f356]) ).
cnf(c_76,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f348]) ).
cnf(c_77,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(cnf_transformation,[],[f347]) ).
cnf(c_85,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_87,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f337]) ).
cnf(c_88,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[],[f336]) ).
cnf(c_89,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f335]) ).
cnf(c_90,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f334]) ).
cnf(c_101,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_104,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_105,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_107,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_109,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_114,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[],[f406]) ).
cnf(c_115,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_117,plain,
( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_126,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(cnf_transformation,[],[f394]) ).
cnf(c_127,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[],[f393]) ).
cnf(c_133,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[],[f387]) ).
cnf(c_134,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[],[f386]) ).
cnf(c_135,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f385]) ).
cnf(c_137,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_139,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_140,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_146,plain,
op1(e13,e13) != op1(e13,e11),
inference(cnf_transformation,[],[f454]) ).
cnf(c_147,plain,
op1(e13,e12) != op1(e13,e11),
inference(cnf_transformation,[],[f453]) ).
cnf(c_149,plain,
op1(e13,e12) != op1(e13,e10),
inference(cnf_transformation,[],[f451]) ).
cnf(c_153,plain,
op1(e12,e12) != op1(e12,e11),
inference(cnf_transformation,[],[f447]) ).
cnf(c_156,plain,
op1(e12,e11) != op1(e12,e10),
inference(cnf_transformation,[],[f444]) ).
cnf(c_158,plain,
op1(e11,e13) != op1(e11,e11),
inference(cnf_transformation,[],[f442]) ).
cnf(c_165,plain,
op1(e10,e12) != op1(e10,e11),
inference(cnf_transformation,[],[f435]) ).
cnf(c_167,plain,
op1(e10,e12) != op1(e10,e10),
inference(cnf_transformation,[],[f433]) ).
cnf(c_168,plain,
op1(e10,e11) != op1(e10,e10),
inference(cnf_transformation,[],[f432]) ).
cnf(c_170,plain,
op1(e13,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f430]) ).
cnf(c_174,plain,
op1(e11,e13) != op1(e10,e13),
inference(cnf_transformation,[],[f426]) ).
cnf(c_175,plain,
op1(e13,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f425]) ).
cnf(c_178,plain,
op1(e13,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f422]) ).
cnf(c_179,plain,
op1(e12,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f421]) ).
cnf(c_181,plain,
op1(e13,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f419]) ).
cnf(c_185,plain,
op1(e12,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f415]) ).
cnf(c_187,plain,
op1(e13,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f413]) ).
cnf(c_190,plain,
op1(e13,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f410]) ).
cnf(c_191,plain,
op1(e12,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f409]) ).
cnf(c_192,plain,
op1(e11,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f408]) ).
cnf(c_193,plain,
op2(e23,e23) != op2(e23,e22),
inference(cnf_transformation,[],[f503]) ).
cnf(c_194,plain,
op2(e23,e23) != op2(e23,e21),
inference(cnf_transformation,[],[f502]) ).
cnf(c_197,plain,
op2(e23,e22) != op2(e23,e20),
inference(cnf_transformation,[],[f499]) ).
cnf(c_199,plain,
op2(e22,e23) != op2(e22,e22),
inference(cnf_transformation,[],[f497]) ).
cnf(c_200,plain,
op2(e22,e23) != op2(e22,e21),
inference(cnf_transformation,[],[f496]) ).
cnf(c_201,plain,
op2(e22,e22) != op2(e22,e21),
inference(cnf_transformation,[],[f495]) ).
cnf(c_202,plain,
op2(e22,e23) != op2(e22,e20),
inference(cnf_transformation,[],[f494]) ).
cnf(c_203,plain,
op2(e22,e22) != op2(e22,e20),
inference(cnf_transformation,[],[f493]) ).
cnf(c_204,plain,
op2(e22,e21) != op2(e22,e20),
inference(cnf_transformation,[],[f492]) ).
cnf(c_205,plain,
op2(e21,e23) != op2(e21,e22),
inference(cnf_transformation,[],[f491]) ).
cnf(c_206,plain,
op2(e21,e23) != op2(e21,e21),
inference(cnf_transformation,[],[f490]) ).
cnf(c_208,plain,
op2(e21,e23) != op2(e21,e20),
inference(cnf_transformation,[],[f488]) ).
cnf(c_210,plain,
op2(e21,e21) != op2(e21,e20),
inference(cnf_transformation,[],[f486]) ).
cnf(c_213,plain,
op2(e20,e22) != op2(e20,e21),
inference(cnf_transformation,[],[f483]) ).
cnf(c_214,plain,
op2(e20,e23) != op2(e20,e20),
inference(cnf_transformation,[],[f482]) ).
cnf(c_217,plain,
op2(e23,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f479]) ).
cnf(c_218,plain,
op2(e23,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f478]) ).
cnf(c_219,plain,
op2(e22,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f477]) ).
cnf(c_220,plain,
op2(e23,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f476]) ).
cnf(c_221,plain,
op2(e22,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f475]) ).
cnf(c_229,plain,
op2(e23,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f467]) ).
cnf(c_234,plain,
op2(e21,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f462]) ).
cnf(c_239,plain,
op2(e22,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f457]) ).
cnf(c_241,plain,
e13 != e12,
inference(cnf_transformation,[],[f509]) ).
cnf(c_242,plain,
e13 != e11,
inference(cnf_transformation,[],[f508]) ).
cnf(c_243,plain,
e12 != e11,
inference(cnf_transformation,[],[f507]) ).
cnf(c_244,plain,
e13 != e10,
inference(cnf_transformation,[],[f506]) ).
cnf(c_245,plain,
e12 != e10,
inference(cnf_transformation,[],[f505]) ).
cnf(c_246,plain,
e11 != e10,
inference(cnf_transformation,[],[f504]) ).
cnf(c_247,plain,
e23 != e22,
inference(cnf_transformation,[],[f515]) ).
cnf(c_248,plain,
e23 != e21,
inference(cnf_transformation,[],[f514]) ).
cnf(c_249,plain,
e22 != e21,
inference(cnf_transformation,[],[f513]) ).
cnf(c_250,plain,
e23 != e20,
inference(cnf_transformation,[],[f512]) ).
cnf(c_251,plain,
e22 != e20,
inference(cnf_transformation,[],[f511]) ).
cnf(c_252,plain,
e21 != e20,
inference(cnf_transformation,[],[f510]) ).
cnf(c_269,plain,
( op1(e13,e12) != e13
| ~ sP65
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[],[f539]) ).
cnf(c_274,plain,
( ~ sP65
| op1(e12,op1(e12,e11)) = e11 ),
inference(cnf_transformation,[],[f533]) ).
cnf(c_278,plain,
( op1(e10,e11) != e10
| ~ sP64
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f544]) ).
cnf(c_288,plain,
( ~ sP63
| op1(e10,op1(e10,e11)) = e11 ),
inference(cnf_transformation,[],[f549]) ).
cnf(c_292,plain,
( op1(e13,e13) != e13
| ~ sP62 ),
inference(cnf_transformation,[],[f557]) ).
cnf(c_293,plain,
( ~ sP62
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[],[f556]) ).
cnf(c_296,plain,
( op1(e13,e13) != e13
| ~ sP61 ),
inference(cnf_transformation,[],[f561]) ).
cnf(c_297,plain,
( ~ sP61
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[],[f560]) ).
cnf(c_300,plain,
( op1(e13,e13) != e13
| ~ sP60 ),
inference(cnf_transformation,[],[f565]) ).
cnf(c_301,plain,
( ~ sP60
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[],[f564]) ).
cnf(c_303,plain,
( ~ sP59
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[],[f570]) ).
cnf(c_304,plain,
( op1(e13,e13) != e12
| ~ sP59 ),
inference(cnf_transformation,[],[f569]) ).
cnf(c_305,plain,
( ~ sP59
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[],[f568]) ).
cnf(c_306,plain,
( op1(e12,e12) != e12
| ~ sP58 ),
inference(cnf_transformation,[],[f575]) ).
cnf(c_307,plain,
( ~ sP58
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[],[f574]) ).
cnf(c_309,plain,
( ~ sP58
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[],[f572]) ).
cnf(c_310,plain,
( op1(e11,e12) != e11
| ~ sP57 ),
inference(cnf_transformation,[],[f579]) ).
cnf(c_313,plain,
( ~ sP57
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[],[f576]) ).
cnf(c_315,plain,
( ~ sP56
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f582]) ).
cnf(c_317,plain,
( ~ sP56
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[],[f580]) ).
cnf(c_319,plain,
( ~ sP55
| op1(e13,e13) = e11 ),
inference(cnf_transformation,[],[f586]) ).
cnf(c_320,plain,
( op1(e13,e13) != e11
| ~ sP55 ),
inference(cnf_transformation,[],[f585]) ).
cnf(c_321,plain,
( ~ sP55
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[],[f584]) ).
cnf(c_325,plain,
( ~ sP54
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[],[f588]) ).
cnf(c_326,plain,
( op1(e11,e11) != e11
| ~ sP53 ),
inference(cnf_transformation,[],[f595]) ).
cnf(c_327,plain,
( ~ sP53
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[],[f594]) ).
cnf(c_329,plain,
( ~ sP53
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[],[f592]) ).
cnf(c_333,plain,
( ~ sP52
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[],[f596]) ).
cnf(c_335,plain,
( ~ sP51
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[],[f602]) ).
cnf(c_336,plain,
( op1(e13,e13) != e10
| ~ sP51 ),
inference(cnf_transformation,[],[f601]) ).
cnf(c_337,plain,
( ~ sP51
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[],[f600]) ).
cnf(c_340,plain,
( op1(e13,e13) != e10
| ~ sP50 ),
inference(cnf_transformation,[],[f605]) ).
cnf(c_343,plain,
( ~ sP49
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[],[f610]) ).
cnf(c_346,plain,
( op1(e10,e10) != e10
| ~ sP48 ),
inference(cnf_transformation,[],[f615]) ).
cnf(c_347,plain,
( ~ sP48
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f614]) ).
cnf(c_349,plain,
( ~ sP48
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[],[f612]) ).
cnf(c_350,plain,
( op1(e13,e13) != e13
| ~ sP47 ),
inference(cnf_transformation,[],[f619]) ).
cnf(c_351,plain,
( ~ sP47
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[],[f618]) ).
cnf(c_353,plain,
( ~ sP47
| op1(e12,e13) = e12 ),
inference(cnf_transformation,[],[f616]) ).
cnf(c_355,plain,
( ~ sP46
| op1(e12,e12) = e13 ),
inference(cnf_transformation,[],[f622]) ).
cnf(c_356,plain,
( op1(e12,e12) != e13
| ~ sP46 ),
inference(cnf_transformation,[],[f621]) ).
cnf(c_357,plain,
( ~ sP46
| op1(e12,e13) = e12 ),
inference(cnf_transformation,[],[f620]) ).
cnf(c_359,plain,
( ~ sP45
| op1(e11,e11) = e13 ),
inference(cnf_transformation,[],[f626]) ).
cnf(c_363,plain,
( ~ sP44
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f630]) ).
cnf(c_368,plain,
( op1(e12,e12) != e12
| ~ sP43 ),
inference(cnf_transformation,[],[f633]) ).
cnf(c_369,plain,
( ~ sP43
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[],[f632]) ).
cnf(c_372,plain,
( op1(e12,e12) != e12
| ~ sP42 ),
inference(cnf_transformation,[],[f637]) ).
cnf(c_373,plain,
( ~ sP42
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[],[f636]) ).
cnf(c_376,plain,
( op1(e12,e12) != e12
| ~ sP41 ),
inference(cnf_transformation,[],[f641]) ).
cnf(c_377,plain,
( ~ sP41
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[],[f640]) ).
cnf(c_380,plain,
( op1(e12,e12) != e12
| ~ sP40 ),
inference(cnf_transformation,[],[f645]) ).
cnf(c_381,plain,
( ~ sP40
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[],[f644]) ).
cnf(c_385,plain,
( ~ sP39
| op1(e12,e11) = e12 ),
inference(cnf_transformation,[],[f648]) ).
cnf(c_387,plain,
( ~ sP38
| op1(e12,e12) = e11 ),
inference(cnf_transformation,[],[f654]) ).
cnf(c_388,plain,
( op1(e12,e12) != e11
| ~ sP38 ),
inference(cnf_transformation,[],[f653]) ).
cnf(c_389,plain,
( ~ sP38
| op1(e12,e11) = e12 ),
inference(cnf_transformation,[],[f652]) ).
cnf(c_390,plain,
( op1(e11,e11) != e11
| ~ sP37 ),
inference(cnf_transformation,[],[f659]) ).
cnf(c_391,plain,
( ~ sP37
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[],[f658]) ).
cnf(c_393,plain,
( ~ sP37
| op1(e12,e11) = e12 ),
inference(cnf_transformation,[],[f656]) ).
cnf(c_397,plain,
( ~ sP36
| op1(e12,e11) = e12 ),
inference(cnf_transformation,[],[f660]) ).
cnf(c_398,plain,
( op1(e13,e10) != e13
| ~ sP35 ),
inference(cnf_transformation,[],[f667]) ).
cnf(c_401,plain,
( ~ sP35
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f664]) ).
cnf(c_403,plain,
( ~ sP34
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[],[f670]) ).
cnf(c_404,plain,
( op1(e12,e12) != e10
| ~ sP34 ),
inference(cnf_transformation,[],[f669]) ).
cnf(c_405,plain,
( ~ sP34
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f668]) ).
cnf(c_407,plain,
( ~ sP33
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[],[f674]) ).
cnf(c_410,plain,
( op1(e10,e10) != e10
| ~ sP32 ),
inference(cnf_transformation,[],[f679]) ).
cnf(c_411,plain,
( ~ sP32
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f678]) ).
cnf(c_413,plain,
( ~ sP32
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f676]) ).
cnf(c_414,plain,
( op1(e13,e13) != e13
| ~ sP31 ),
inference(cnf_transformation,[],[f683]) ).
cnf(c_415,plain,
( ~ sP31
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[],[f682]) ).
cnf(c_417,plain,
( ~ sP31
| op1(e11,e13) = e11 ),
inference(cnf_transformation,[],[f680]) ).
cnf(c_419,plain,
( ~ sP30
| op1(e12,e12) = e13 ),
inference(cnf_transformation,[],[f686]) ).
cnf(c_423,plain,
( ~ sP29
| op1(e11,e11) = e13 ),
inference(cnf_transformation,[],[f690]) ).
cnf(c_424,plain,
( op1(e11,e11) != e13
| ~ sP29 ),
inference(cnf_transformation,[],[f689]) ).
cnf(c_425,plain,
( ~ sP29
| op1(e11,e13) = e11 ),
inference(cnf_transformation,[],[f688]) ).
cnf(c_427,plain,
( ~ sP28
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f694]) ).
cnf(c_432,plain,
( op1(e11,e11) != e12
| ~ sP27 ),
inference(cnf_transformation,[],[f697]) ).
cnf(c_436,plain,
( op1(e11,e11) != e12
| ~ sP26 ),
inference(cnf_transformation,[],[f701]) ).
cnf(c_440,plain,
( op1(e11,e11) != e12
| ~ sP25 ),
inference(cnf_transformation,[],[f705]) ).
cnf(c_444,plain,
( op1(e11,e11) != e12
| ~ sP24 ),
inference(cnf_transformation,[],[f709]) ).
cnf(c_448,plain,
( op1(e11,e11) != e11
| ~ sP23 ),
inference(cnf_transformation,[],[f713]) ).
cnf(c_449,plain,
( ~ sP23
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[],[f712]) ).
cnf(c_452,plain,
( op1(e11,e11) != e11
| ~ sP22 ),
inference(cnf_transformation,[],[f717]) ).
cnf(c_453,plain,
( ~ sP22
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[],[f716]) ).
cnf(c_456,plain,
( op1(e11,e11) != e11
| ~ sP21 ),
inference(cnf_transformation,[],[f721]) ).
cnf(c_457,plain,
( ~ sP21
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[],[f720]) ).
cnf(c_460,plain,
( op1(e11,e11) != e11
| ~ sP20 ),
inference(cnf_transformation,[],[f725]) ).
cnf(c_461,plain,
( ~ sP20
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[],[f724]) ).
cnf(c_462,plain,
( op1(e13,e10) != e13
| ~ sP19 ),
inference(cnf_transformation,[],[f731]) ).
cnf(c_465,plain,
( ~ sP19
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[],[f728]) ).
cnf(c_469,plain,
( ~ sP18
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[],[f732]) ).
cnf(c_471,plain,
( ~ sP17
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[],[f738]) ).
cnf(c_472,plain,
( op1(e11,e11) != e10
| ~ sP17 ),
inference(cnf_transformation,[],[f737]) ).
cnf(c_473,plain,
( ~ sP17
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[],[f736]) ).
cnf(c_474,plain,
( op1(e10,e10) != e10
| ~ sP16 ),
inference(cnf_transformation,[],[f743]) ).
cnf(c_475,plain,
( ~ sP16
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f742]) ).
cnf(c_477,plain,
( ~ sP16
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[],[f740]) ).
cnf(c_478,plain,
( op1(e13,e13) != e13
| ~ sP15 ),
inference(cnf_transformation,[],[f747]) ).
cnf(c_479,plain,
( ~ sP15
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[],[f746]) ).
cnf(c_481,plain,
( ~ sP15
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[],[f744]) ).
cnf(c_483,plain,
( ~ sP14
| op1(e12,e12) = e13 ),
inference(cnf_transformation,[],[f750]) ).
cnf(c_487,plain,
( ~ sP13
| op1(e11,e11) = e13 ),
inference(cnf_transformation,[],[f754]) ).
cnf(c_491,plain,
( ~ sP12
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f758]) ).
cnf(c_492,plain,
( op1(e10,e10) != e13
| ~ sP12 ),
inference(cnf_transformation,[],[f757]) ).
cnf(c_493,plain,
( ~ sP12
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[],[f756]) ).
cnf(c_495,plain,
( ~ sP11
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[],[f762]) ).
cnf(c_498,plain,
( op1(e12,e12) != e12
| ~ sP10 ),
inference(cnf_transformation,[],[f767]) ).
cnf(c_499,plain,
( ~ sP10
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[],[f766]) ).
cnf(c_501,plain,
( ~ sP10
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[],[f764]) ).
cnf(c_505,plain,
( ~ sP9
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[],[f768]) ).
cnf(c_507,plain,
( ~ sP8
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f774]) ).
cnf(c_508,plain,
( op1(e10,e10) != e12
| ~ sP8 ),
inference(cnf_transformation,[],[f773]) ).
cnf(c_509,plain,
( ~ sP8
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[],[f772]) ).
cnf(c_511,plain,
( ~ sP7
| op1(e13,e13) = e11 ),
inference(cnf_transformation,[],[f778]) ).
cnf(c_516,plain,
( op1(e10,e10) != e11
| ~ sP6 ),
inference(cnf_transformation,[],[f781]) ).
cnf(c_518,plain,
( op1(e11,e11) != e11
| ~ sP5 ),
inference(cnf_transformation,[],[f787]) ).
cnf(c_519,plain,
( ~ sP5
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[],[f786]) ).
cnf(c_521,plain,
( ~ sP5
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f784]) ).
cnf(c_523,plain,
( ~ sP4
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f790]) ).
cnf(c_524,plain,
( op1(e10,e10) != e11
| ~ sP4 ),
inference(cnf_transformation,[],[f789]) ).
cnf(c_525,plain,
( ~ sP4
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f788]) ).
cnf(c_528,plain,
( op1(e10,e10) != e10
| ~ sP3 ),
inference(cnf_transformation,[],[f793]) ).
cnf(c_529,plain,
( ~ sP3
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f792]) ).
cnf(c_532,plain,
( op1(e10,e10) != e10
| ~ sP2 ),
inference(cnf_transformation,[],[f797]) ).
cnf(c_533,plain,
( ~ sP2
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f796]) ).
cnf(c_536,plain,
( op1(e10,e10) != e10
| ~ sP1 ),
inference(cnf_transformation,[],[f801]) ).
cnf(c_537,plain,
( ~ sP1
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f800]) ).
cnf(c_540,plain,
( op1(e10,e10) != e10
| ~ sP0 ),
inference(cnf_transformation,[],[f805]) ).
cnf(c_541,plain,
( ~ sP0
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f804]) ).
cnf(c_542,plain,
( op1(e12,e13) != e12
| op1(e12,e12) = e13
| sP65
| sP64
| sP63 ),
inference(cnf_transformation,[],[f818]) ).
cnf(c_545,plain,
( op1(e13,op1(e13,e13)) = e13
| sP65
| sP64
| sP63 ),
inference(cnf_transformation,[],[f815]) ).
cnf(c_549,plain,
( op1(e13,e13) != e13
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f811]) ).
cnf(c_551,plain,
( op1(e13,e13) != e13
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f809]) ).
cnf(c_552,plain,
( op1(e13,e13) = e13
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f808]) ).
cnf(c_553,plain,
( op2(e23,e22) != e23
| ~ sP131
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[],[f827]) ).
cnf(c_556,plain,
( ~ sP131
| op2(e22,op2(e22,e23)) = e23 ),
inference(cnf_transformation,[],[f823]) ).
cnf(c_562,plain,
( op2(e20,e21) != e20
| ~ sP130
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f832]) ).
cnf(c_565,plain,
( ~ sP130
| op2(e21,op2(e21,e21)) = e21 ),
inference(cnf_transformation,[],[f829]) ).
cnf(c_568,plain,
( op2(e22,e20) != e22
| ~ sP129
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[],[f842]) ).
cnf(c_569,plain,
( op2(e21,e20) != e21
| ~ sP129
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f841]) ).
cnf(c_572,plain,
( ~ sP129
| op2(e20,op2(e20,e21)) = e21 ),
inference(cnf_transformation,[],[f837]) ).
cnf(c_576,plain,
( op2(e23,e23) != e23
| ~ sP128 ),
inference(cnf_transformation,[],[f845]) ).
cnf(c_577,plain,
( ~ sP128
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[],[f844]) ).
cnf(c_580,plain,
( op2(e23,e23) != e23
| ~ sP127 ),
inference(cnf_transformation,[],[f849]) ).
cnf(c_581,plain,
( ~ sP127
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[],[f848]) ).
cnf(c_584,plain,
( op2(e23,e23) != e23
| ~ sP126 ),
inference(cnf_transformation,[],[f853]) ).
cnf(c_585,plain,
( ~ sP126
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[],[f852]) ).
cnf(c_587,plain,
( ~ sP125
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[],[f858]) ).
cnf(c_588,plain,
( op2(e23,e23) != e22
| ~ sP125 ),
inference(cnf_transformation,[],[f857]) ).
cnf(c_589,plain,
( ~ sP125
| op2(e23,e22) = e23 ),
inference(cnf_transformation,[],[f856]) ).
cnf(c_590,plain,
( op2(e22,e22) != e22
| ~ sP124 ),
inference(cnf_transformation,[],[f863]) ).
cnf(c_591,plain,
( ~ sP124
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[],[f862]) ).
cnf(c_593,plain,
( ~ sP124
| op2(e23,e22) = e23 ),
inference(cnf_transformation,[],[f860]) ).
cnf(c_594,plain,
( op2(e21,e22) != e21
| ~ sP123 ),
inference(cnf_transformation,[],[f867]) ).
cnf(c_597,plain,
( ~ sP123
| op2(e23,e22) = e23 ),
inference(cnf_transformation,[],[f864]) ).
cnf(c_599,plain,
( ~ sP122
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f870]) ).
cnf(c_601,plain,
( ~ sP122
| op2(e23,e22) = e23 ),
inference(cnf_transformation,[],[f868]) ).
cnf(c_603,plain,
( ~ sP121
| op2(e23,e23) = e21 ),
inference(cnf_transformation,[],[f874]) ).
cnf(c_604,plain,
( op2(e23,e23) != e21
| ~ sP121 ),
inference(cnf_transformation,[],[f873]) ).
cnf(c_605,plain,
( ~ sP121
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[],[f872]) ).
cnf(c_609,plain,
( ~ sP120
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[],[f876]) ).
cnf(c_610,plain,
( op2(e21,e21) != e21
| ~ sP119 ),
inference(cnf_transformation,[],[f883]) ).
cnf(c_611,plain,
( ~ sP119
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[],[f882]) ).
cnf(c_613,plain,
( ~ sP119
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[],[f880]) ).
cnf(c_617,plain,
( ~ sP118
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[],[f884]) ).
cnf(c_619,plain,
( ~ sP117
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[],[f890]) ).
cnf(c_620,plain,
( op2(e23,e23) != e20
| ~ sP117 ),
inference(cnf_transformation,[],[f889]) ).
cnf(c_621,plain,
( ~ sP117
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[],[f888]) ).
cnf(c_624,plain,
( op2(e23,e23) != e20
| ~ sP116 ),
inference(cnf_transformation,[],[f893]) ).
cnf(c_627,plain,
( ~ sP115
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f898]) ).
cnf(c_630,plain,
( op2(e20,e20) != e20
| ~ sP114 ),
inference(cnf_transformation,[],[f903]) ).
cnf(c_631,plain,
( ~ sP114
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f902]) ).
cnf(c_633,plain,
( ~ sP114
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[],[f900]) ).
cnf(c_634,plain,
( op2(e23,e23) != e23
| ~ sP113 ),
inference(cnf_transformation,[],[f907]) ).
cnf(c_635,plain,
( ~ sP113
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[],[f906]) ).
cnf(c_637,plain,
( ~ sP113
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[],[f904]) ).
cnf(c_639,plain,
( ~ sP112
| op2(e22,e22) = e23 ),
inference(cnf_transformation,[],[f910]) ).
cnf(c_640,plain,
( op2(e22,e22) != e23
| ~ sP112 ),
inference(cnf_transformation,[],[f909]) ).
cnf(c_641,plain,
( ~ sP112
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[],[f908]) ).
cnf(c_643,plain,
( ~ sP111
| op2(e21,e21) = e23 ),
inference(cnf_transformation,[],[f914]) ).
cnf(c_647,plain,
( ~ sP110
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f918]) ).
cnf(c_649,plain,
( ~ sP110
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[],[f916]) ).
cnf(c_652,plain,
( op2(e22,e22) != e22
| ~ sP109 ),
inference(cnf_transformation,[],[f921]) ).
cnf(c_653,plain,
( ~ sP109
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[],[f920]) ).
cnf(c_656,plain,
( op2(e22,e22) != e22
| ~ sP108 ),
inference(cnf_transformation,[],[f925]) ).
cnf(c_657,plain,
( ~ sP108
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[],[f924]) ).
cnf(c_660,plain,
( op2(e22,e22) != e22
| ~ sP107 ),
inference(cnf_transformation,[],[f929]) ).
cnf(c_661,plain,
( ~ sP107
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[],[f928]) ).
cnf(c_664,plain,
( op2(e22,e22) != e22
| ~ sP106 ),
inference(cnf_transformation,[],[f933]) ).
cnf(c_665,plain,
( ~ sP106
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[],[f932]) ).
cnf(c_669,plain,
( ~ sP105
| op2(e22,e21) = e22 ),
inference(cnf_transformation,[],[f936]) ).
cnf(c_671,plain,
( ~ sP104
| op2(e22,e22) = e21 ),
inference(cnf_transformation,[],[f942]) ).
cnf(c_672,plain,
( op2(e22,e22) != e21
| ~ sP104 ),
inference(cnf_transformation,[],[f941]) ).
cnf(c_673,plain,
( ~ sP104
| op2(e22,e21) = e22 ),
inference(cnf_transformation,[],[f940]) ).
cnf(c_674,plain,
( op2(e21,e21) != e21
| ~ sP103 ),
inference(cnf_transformation,[],[f947]) ).
cnf(c_675,plain,
( ~ sP103
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[],[f946]) ).
cnf(c_677,plain,
( ~ sP103
| op2(e22,e21) = e22 ),
inference(cnf_transformation,[],[f944]) ).
cnf(c_681,plain,
( ~ sP102
| op2(e22,e21) = e22 ),
inference(cnf_transformation,[],[f948]) ).
cnf(c_682,plain,
( op2(e23,e20) != e23
| ~ sP101 ),
inference(cnf_transformation,[],[f955]) ).
cnf(c_684,plain,
( op2(e22,e22) != e20
| ~ sP101 ),
inference(cnf_transformation,[],[f953]) ).
cnf(c_685,plain,
( ~ sP101
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f952]) ).
cnf(c_687,plain,
( ~ sP100
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[],[f958]) ).
cnf(c_688,plain,
( op2(e22,e22) != e20
| ~ sP100 ),
inference(cnf_transformation,[],[f957]) ).
cnf(c_689,plain,
( ~ sP100
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f956]) ).
cnf(c_691,plain,
( ~ sP99
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f962]) ).
cnf(c_694,plain,
( op2(e20,e20) != e20
| ~ sP98 ),
inference(cnf_transformation,[],[f967]) ).
cnf(c_695,plain,
( ~ sP98
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f966]) ).
cnf(c_697,plain,
( ~ sP98
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f964]) ).
cnf(c_698,plain,
( op2(e23,e23) != e23
| ~ sP97 ),
inference(cnf_transformation,[],[f971]) ).
cnf(c_699,plain,
( ~ sP97
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[],[f970]) ).
cnf(c_701,plain,
( ~ sP97
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[],[f968]) ).
cnf(c_703,plain,
( ~ sP96
| op2(e22,e22) = e23 ),
inference(cnf_transformation,[],[f974]) ).
cnf(c_707,plain,
( ~ sP95
| op2(e21,e21) = e23 ),
inference(cnf_transformation,[],[f978]) ).
cnf(c_708,plain,
( op2(e21,e21) != e23
| ~ sP95 ),
inference(cnf_transformation,[],[f977]) ).
cnf(c_709,plain,
( ~ sP95
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[],[f976]) ).
cnf(c_711,plain,
( ~ sP94
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f982]) ).
cnf(c_713,plain,
( ~ sP94
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[],[f980]) ).
cnf(c_716,plain,
( op2(e21,e21) != e22
| ~ sP93 ),
inference(cnf_transformation,[],[f985]) ).
cnf(c_720,plain,
( op2(e21,e21) != e22
| ~ sP92 ),
inference(cnf_transformation,[],[f989]) ).
cnf(c_724,plain,
( op2(e21,e21) != e22
| ~ sP91 ),
inference(cnf_transformation,[],[f993]) ).
cnf(c_728,plain,
( op2(e21,e21) != e22
| ~ sP90 ),
inference(cnf_transformation,[],[f997]) ).
cnf(c_732,plain,
( op2(e21,e21) != e21
| ~ sP89 ),
inference(cnf_transformation,[],[f1001]) ).
cnf(c_733,plain,
( ~ sP89
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[],[f1000]) ).
cnf(c_736,plain,
( op2(e21,e21) != e21
| ~ sP88 ),
inference(cnf_transformation,[],[f1005]) ).
cnf(c_737,plain,
( ~ sP88
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[],[f1004]) ).
cnf(c_740,plain,
( op2(e21,e21) != e21
| ~ sP87 ),
inference(cnf_transformation,[],[f1009]) ).
cnf(c_741,plain,
( ~ sP87
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[],[f1008]) ).
cnf(c_744,plain,
( op2(e21,e21) != e21
| ~ sP86 ),
inference(cnf_transformation,[],[f1013]) ).
cnf(c_745,plain,
( ~ sP86
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[],[f1012]) ).
cnf(c_746,plain,
( op2(e23,e20) != e23
| ~ sP85 ),
inference(cnf_transformation,[],[f1019]) ).
cnf(c_749,plain,
( ~ sP85
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[],[f1016]) ).
cnf(c_750,plain,
( op2(e22,e20) != e22
| ~ sP84 ),
inference(cnf_transformation,[],[f1023]) ).
cnf(c_753,plain,
( ~ sP84
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[],[f1020]) ).
cnf(c_755,plain,
( ~ sP83
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f1026]) ).
cnf(c_756,plain,
( op2(e21,e21) != e20
| ~ sP83 ),
inference(cnf_transformation,[],[f1025]) ).
cnf(c_757,plain,
( ~ sP83
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[],[f1024]) ).
cnf(c_758,plain,
( op2(e20,e20) != e20
| ~ sP82 ),
inference(cnf_transformation,[],[f1031]) ).
cnf(c_759,plain,
( ~ sP82
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f1030]) ).
cnf(c_761,plain,
( ~ sP82
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[],[f1028]) ).
cnf(c_762,plain,
( op2(e23,e23) != e23
| ~ sP81 ),
inference(cnf_transformation,[],[f1035]) ).
cnf(c_763,plain,
( ~ sP81
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[],[f1034]) ).
cnf(c_765,plain,
( ~ sP81
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[],[f1032]) ).
cnf(c_767,plain,
( ~ sP80
| op2(e22,e22) = e23 ),
inference(cnf_transformation,[],[f1038]) ).
cnf(c_771,plain,
( ~ sP79
| op2(e21,e21) = e23 ),
inference(cnf_transformation,[],[f1042]) ).
cnf(c_775,plain,
( ~ sP78
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f1046]) ).
cnf(c_776,plain,
( op2(e20,e20) != e23
| ~ sP78 ),
inference(cnf_transformation,[],[f1045]) ).
cnf(c_777,plain,
( ~ sP78
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[],[f1044]) ).
cnf(c_779,plain,
( ~ sP77
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[],[f1050]) ).
cnf(c_782,plain,
( op2(e22,e22) != e22
| ~ sP76 ),
inference(cnf_transformation,[],[f1055]) ).
cnf(c_783,plain,
( ~ sP76
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[],[f1054]) ).
cnf(c_785,plain,
( ~ sP76
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[],[f1052]) ).
cnf(c_789,plain,
( ~ sP75
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[],[f1056]) ).
cnf(c_791,plain,
( ~ sP74
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f1062]) ).
cnf(c_792,plain,
( op2(e20,e20) != e22
| ~ sP74 ),
inference(cnf_transformation,[],[f1061]) ).
cnf(c_793,plain,
( ~ sP74
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[],[f1060]) ).
cnf(c_795,plain,
( ~ sP73
| op2(e23,e23) = e21 ),
inference(cnf_transformation,[],[f1066]) ).
cnf(c_799,plain,
( ~ sP72
| op2(e22,e22) = e21 ),
inference(cnf_transformation,[],[f1070]) ).
cnf(c_800,plain,
( op2(e20,e20) != e21
| ~ sP72 ),
inference(cnf_transformation,[],[f1069]) ).
cnf(c_802,plain,
( op2(e21,e21) != e21
| ~ sP71 ),
inference(cnf_transformation,[],[f1075]) ).
cnf(c_803,plain,
( ~ sP71
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[],[f1074]) ).
cnf(c_805,plain,
( ~ sP71
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f1072]) ).
cnf(c_807,plain,
( ~ sP70
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f1078]) ).
cnf(c_808,plain,
( op2(e20,e20) != e21
| ~ sP70 ),
inference(cnf_transformation,[],[f1077]) ).
cnf(c_809,plain,
( ~ sP70
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f1076]) ).
cnf(c_812,plain,
( op2(e20,e20) != e20
| ~ sP69 ),
inference(cnf_transformation,[],[f1081]) ).
cnf(c_813,plain,
( ~ sP69
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f1080]) ).
cnf(c_816,plain,
( op2(e20,e20) != e20
| ~ sP68 ),
inference(cnf_transformation,[],[f1085]) ).
cnf(c_817,plain,
( ~ sP68
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f1084]) ).
cnf(c_820,plain,
( op2(e20,e20) != e20
| ~ sP67 ),
inference(cnf_transformation,[],[f1089]) ).
cnf(c_821,plain,
( ~ sP67
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f1088]) ).
cnf(c_824,plain,
( op2(e20,e20) != e20
| ~ sP66 ),
inference(cnf_transformation,[],[f1093]) ).
cnf(c_825,plain,
( ~ sP66
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f1092]) ).
cnf(c_826,plain,
( op2(e22,e23) != e22
| op2(e22,e22) = e23
| sP131
| sP130
| sP129 ),
inference(cnf_transformation,[],[f1106]) ).
cnf(c_829,plain,
( op2(e23,op2(e23,e23)) = e23
| sP131
| sP130
| sP129 ),
inference(cnf_transformation,[],[f1103]) ).
cnf(c_833,plain,
( op2(e23,e23) != e23
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66 ),
inference(cnf_transformation,[],[f1099]) ).
cnf(c_835,plain,
( op2(e23,e23) != e23
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66 ),
inference(cnf_transformation,[],[f1097]) ).
cnf(c_836,plain,
( op2(e23,e23) = e23
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66 ),
inference(cnf_transformation,[],[f1096]) ).
cnf(c_837,plain,
op1(op1(e11,e11),e11) = e13,
inference(cnf_transformation,[],[f1110]) ).
cnf(c_838,plain,
op1(e11,e11) = e12,
inference(cnf_transformation,[],[f1109]) ).
cnf(c_839,plain,
op1(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) = e10,
inference(cnf_transformation,[],[f1108]) ).
cnf(c_840,plain,
op2(op2(e21,e21),e21) = e23,
inference(cnf_transformation,[],[f1113]) ).
cnf(c_841,plain,
op2(e21,e21) = e22,
inference(cnf_transformation,[],[f1112]) ).
cnf(c_842,plain,
op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) = e20,
inference(cnf_transformation,[],[f1111]) ).
cnf(c_844,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f1116]) ).
cnf(c_847,plain,
op2(op2(e21,e21),e21) = h2(e13),
inference(cnf_transformation,[],[f1121]) ).
cnf(c_848,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f1120]) ).
cnf(c_849,plain,
op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) = h2(e10),
inference(cnf_transformation,[],[f1119]) ).
cnf(c_850,plain,
h2(e11) = e21,
inference(cnf_transformation,[],[f1118]) ).
cnf(c_852,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f1124]) ).
cnf(c_855,plain,
op2(op2(e23,e23),e23) = h4(e13),
inference(cnf_transformation,[],[f1129]) ).
cnf(c_856,plain,
op2(e23,e23) = h4(e12),
inference(cnf_transformation,[],[f1128]) ).
cnf(c_884,plain,
( h2(e12) != e22
| ~ sP137 ),
inference(cnf_transformation,[],[f1156]) ).
cnf(c_889,plain,
( h2(e11) != e21
| ~ sP136 ),
inference(cnf_transformation,[],[f1159]) ).
cnf(c_894,plain,
( h2(e10) != e20
| ~ sP135 ),
inference(cnf_transformation,[],[f1162]) ).
cnf(c_915,negated_conjecture,
( op2(h2(e13),h2(e13)) != h2(op1(e13,e13))
| op2(h2(e13),h2(e12)) != h2(op1(e13,e12))
| op2(h2(e13),h2(e11)) != h2(op1(e13,e11))
| op2(h2(e13),h2(e10)) != h2(op1(e13,e10))
| op2(h2(e12),h2(e13)) != h2(op1(e12,e13))
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| op2(h2(e12),h2(e11)) != h2(op1(e12,e11))
| op2(h2(e12),h2(e10)) != h2(op1(e12,e10))
| op2(h2(e11),h2(e13)) != h2(op1(e11,e13))
| op2(h2(e11),h2(e12)) != h2(op1(e11,e12))
| op2(h2(e11),h2(e11)) != h2(op1(e11,e11))
| op2(h2(e11),h2(e10)) != h2(op1(e11,e10))
| op2(h2(e10),h2(e13)) != h2(op1(e10,e13))
| op2(h2(e10),h2(e12)) != h2(op1(e10,e12))
| op2(h2(e10),h2(e11)) != h2(op1(e10,e11))
| op2(h2(e10),h2(e10)) != h2(op1(e10,e10))
| h2(e13) != e23
| sP137
| sP136
| sP135 ),
inference(cnf_transformation,[],[f1185]) ).
cnf(c_947,plain,
~ sP66,
inference(global_subsumption_just,[status(thm)],[c_825,c_825,c_824]) ).
cnf(c_951,plain,
~ sP67,
inference(global_subsumption_just,[status(thm)],[c_821,c_821,c_820]) ).
cnf(c_955,plain,
~ sP68,
inference(global_subsumption_just,[status(thm)],[c_817,c_817,c_816]) ).
cnf(c_959,plain,
~ sP69,
inference(global_subsumption_just,[status(thm)],[c_813,c_813,c_812]) ).
cnf(c_963,plain,
~ sP70,
inference(global_subsumption_just,[status(thm)],[c_809,c_807,c_808]) ).
cnf(c_967,plain,
~ sP71,
inference(global_subsumption_just,[status(thm)],[c_805,c_803,c_802]) ).
cnf(c_971,plain,
~ sP74,
inference(global_subsumption_just,[status(thm)],[c_793,c_791,c_792]) ).
cnf(c_977,plain,
~ sP76,
inference(global_subsumption_just,[status(thm)],[c_785,c_783,c_782]) ).
cnf(c_981,plain,
~ sP78,
inference(global_subsumption_just,[status(thm)],[c_777,c_775,c_776]) ).
cnf(c_985,plain,
~ sP81,
inference(global_subsumption_just,[status(thm)],[c_765,c_763,c_762]) ).
cnf(c_989,plain,
~ sP82,
inference(global_subsumption_just,[status(thm)],[c_761,c_759,c_758]) ).
cnf(c_993,plain,
~ sP83,
inference(global_subsumption_just,[status(thm)],[c_757,c_755,c_756]) ).
cnf(c_997,plain,
~ sP86,
inference(global_subsumption_just,[status(thm)],[c_745,c_745,c_744]) ).
cnf(c_1001,plain,
~ sP87,
inference(global_subsumption_just,[status(thm)],[c_741,c_741,c_740]) ).
cnf(c_1005,plain,
~ sP88,
inference(global_subsumption_just,[status(thm)],[c_737,c_737,c_736]) ).
cnf(c_1009,plain,
~ sP89,
inference(global_subsumption_just,[status(thm)],[c_733,c_733,c_732]) ).
cnf(c_1029,plain,
~ sP95,
inference(global_subsumption_just,[status(thm)],[c_709,c_707,c_708]) ).
cnf(c_1033,plain,
~ sP97,
inference(global_subsumption_just,[status(thm)],[c_701,c_699,c_698]) ).
cnf(c_1037,plain,
~ sP98,
inference(global_subsumption_just,[status(thm)],[c_697,c_695,c_694]) ).
cnf(c_1041,plain,
~ sP100,
inference(global_subsumption_just,[status(thm)],[c_689,c_687,c_688]) ).
cnf(c_1045,plain,
~ sP103,
inference(global_subsumption_just,[status(thm)],[c_677,c_675,c_674]) ).
cnf(c_1049,plain,
~ sP104,
inference(global_subsumption_just,[status(thm)],[c_673,c_671,c_672]) ).
cnf(c_1053,plain,
~ sP106,
inference(global_subsumption_just,[status(thm)],[c_665,c_665,c_664]) ).
cnf(c_1057,plain,
~ sP107,
inference(global_subsumption_just,[status(thm)],[c_661,c_661,c_660]) ).
cnf(c_1061,plain,
~ sP108,
inference(global_subsumption_just,[status(thm)],[c_657,c_657,c_656]) ).
cnf(c_1065,plain,
~ sP109,
inference(global_subsumption_just,[status(thm)],[c_653,c_653,c_652]) ).
cnf(c_1069,plain,
~ sP112,
inference(global_subsumption_just,[status(thm)],[c_641,c_639,c_640]) ).
cnf(c_1073,plain,
~ sP113,
inference(global_subsumption_just,[status(thm)],[c_637,c_635,c_634]) ).
cnf(c_1077,plain,
~ sP114,
inference(global_subsumption_just,[status(thm)],[c_633,c_631,c_630]) ).
cnf(c_1081,plain,
~ sP117,
inference(global_subsumption_just,[status(thm)],[c_621,c_619,c_620]) ).
cnf(c_1085,plain,
~ sP119,
inference(global_subsumption_just,[status(thm)],[c_613,c_611,c_610]) ).
cnf(c_1089,plain,
~ sP121,
inference(global_subsumption_just,[status(thm)],[c_605,c_603,c_604]) ).
cnf(c_1095,plain,
~ sP124,
inference(global_subsumption_just,[status(thm)],[c_593,c_591,c_590]) ).
cnf(c_1099,plain,
~ sP125,
inference(global_subsumption_just,[status(thm)],[c_589,c_587,c_588]) ).
cnf(c_1103,plain,
~ sP126,
inference(global_subsumption_just,[status(thm)],[c_585,c_585,c_584]) ).
cnf(c_1107,plain,
~ sP127,
inference(global_subsumption_just,[status(thm)],[c_581,c_581,c_580]) ).
cnf(c_1111,plain,
~ sP128,
inference(global_subsumption_just,[status(thm)],[c_577,c_577,c_576]) ).
cnf(c_1115,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_541,c_541,c_540]) ).
cnf(c_1119,plain,
~ sP1,
inference(global_subsumption_just,[status(thm)],[c_537,c_537,c_536]) ).
cnf(c_1123,plain,
~ sP2,
inference(global_subsumption_just,[status(thm)],[c_533,c_533,c_532]) ).
cnf(c_1127,plain,
~ sP3,
inference(global_subsumption_just,[status(thm)],[c_529,c_529,c_528]) ).
cnf(c_1131,plain,
~ sP4,
inference(global_subsumption_just,[status(thm)],[c_525,c_523,c_524]) ).
cnf(c_1135,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_521,c_519,c_518]) ).
cnf(c_1139,plain,
~ sP8,
inference(global_subsumption_just,[status(thm)],[c_509,c_507,c_508]) ).
cnf(c_1145,plain,
~ sP10,
inference(global_subsumption_just,[status(thm)],[c_501,c_499,c_498]) ).
cnf(c_1149,plain,
~ sP12,
inference(global_subsumption_just,[status(thm)],[c_493,c_491,c_492]) ).
cnf(c_1153,plain,
~ sP15,
inference(global_subsumption_just,[status(thm)],[c_481,c_479,c_478]) ).
cnf(c_1157,plain,
~ sP16,
inference(global_subsumption_just,[status(thm)],[c_477,c_475,c_474]) ).
cnf(c_1161,plain,
~ sP17,
inference(global_subsumption_just,[status(thm)],[c_473,c_471,c_472]) ).
cnf(c_1165,plain,
~ sP20,
inference(global_subsumption_just,[status(thm)],[c_461,c_461,c_460]) ).
cnf(c_1169,plain,
~ sP21,
inference(global_subsumption_just,[status(thm)],[c_457,c_457,c_456]) ).
cnf(c_1173,plain,
~ sP22,
inference(global_subsumption_just,[status(thm)],[c_453,c_453,c_452]) ).
cnf(c_1177,plain,
~ sP23,
inference(global_subsumption_just,[status(thm)],[c_449,c_449,c_448]) ).
cnf(c_1197,plain,
~ sP29,
inference(global_subsumption_just,[status(thm)],[c_425,c_423,c_424]) ).
cnf(c_1201,plain,
~ sP31,
inference(global_subsumption_just,[status(thm)],[c_417,c_415,c_414]) ).
cnf(c_1205,plain,
~ sP32,
inference(global_subsumption_just,[status(thm)],[c_413,c_411,c_410]) ).
cnf(c_1209,plain,
~ sP34,
inference(global_subsumption_just,[status(thm)],[c_405,c_403,c_404]) ).
cnf(c_1213,plain,
~ sP37,
inference(global_subsumption_just,[status(thm)],[c_393,c_391,c_390]) ).
cnf(c_1217,plain,
~ sP38,
inference(global_subsumption_just,[status(thm)],[c_389,c_387,c_388]) ).
cnf(c_1221,plain,
~ sP40,
inference(global_subsumption_just,[status(thm)],[c_381,c_381,c_380]) ).
cnf(c_1225,plain,
~ sP41,
inference(global_subsumption_just,[status(thm)],[c_377,c_377,c_376]) ).
cnf(c_1229,plain,
~ sP42,
inference(global_subsumption_just,[status(thm)],[c_373,c_373,c_372]) ).
cnf(c_1233,plain,
~ sP43,
inference(global_subsumption_just,[status(thm)],[c_369,c_369,c_368]) ).
cnf(c_1237,plain,
~ sP46,
inference(global_subsumption_just,[status(thm)],[c_357,c_355,c_356]) ).
cnf(c_1241,plain,
~ sP47,
inference(global_subsumption_just,[status(thm)],[c_353,c_351,c_350]) ).
cnf(c_1245,plain,
~ sP48,
inference(global_subsumption_just,[status(thm)],[c_349,c_347,c_346]) ).
cnf(c_1249,plain,
~ sP51,
inference(global_subsumption_just,[status(thm)],[c_337,c_335,c_336]) ).
cnf(c_1253,plain,
~ sP53,
inference(global_subsumption_just,[status(thm)],[c_329,c_327,c_326]) ).
cnf(c_1257,plain,
~ sP55,
inference(global_subsumption_just,[status(thm)],[c_321,c_319,c_320]) ).
cnf(c_1263,plain,
~ sP58,
inference(global_subsumption_just,[status(thm)],[c_309,c_307,c_306]) ).
cnf(c_1267,plain,
~ sP59,
inference(global_subsumption_just,[status(thm)],[c_305,c_303,c_304]) ).
cnf(c_1271,plain,
~ sP60,
inference(global_subsumption_just,[status(thm)],[c_301,c_301,c_300]) ).
cnf(c_1275,plain,
~ sP61,
inference(global_subsumption_just,[status(thm)],[c_297,c_297,c_296]) ).
cnf(c_1279,plain,
~ sP62,
inference(global_subsumption_just,[status(thm)],[c_293,c_293,c_292]) ).
cnf(c_1619,plain,
op2(e21,e21) = e22,
inference(global_subsumption_just,[status(thm)],[c_107,c_841]) ).
cnf(c_1625,plain,
op1(e11,e11) = e12,
inference(global_subsumption_just,[status(thm)],[c_59,c_838]) ).
cnf(c_1627,plain,
( sP75
| sP79
| sP80
| sP96
| sP99
| sP115
| sP116
| sP120
| sP123
| sP122
| sP118
| sP111
| sP110
| sP105
| sP102
| sP101
| sP94
| sP85
| sP84
| sP77
| sP73
| sP72 ),
inference(global_subsumption_just,[status(thm)],[c_836,c_841,c_728,c_724,c_720,c_716,c_836,c_835,c_947,c_951,c_955,c_959,c_963,c_967,c_971,c_977,c_981,c_985,c_989,c_993,c_997,c_1001,c_1005,c_1009,c_1029,c_1033,c_1037,c_1041,c_1045,c_1049,c_1053,c_1057,c_1061,c_1065,c_1069,c_1073,c_1077,c_1081,c_1085,c_1089,c_1095,c_1099,c_1103,c_1107,c_1111]) ).
cnf(c_1628,plain,
( sP123
| sP122
| sP120
| sP118
| sP116
| sP115
| sP111
| sP110
| sP105
| sP102
| sP101
| sP99
| sP96
| sP94
| sP85
| sP84
| sP80
| sP79
| sP77
| sP75
| sP73
| sP72 ),
inference(renaming,[status(thm)],[c_1627]) ).
cnf(c_1631,plain,
( sP9
| sP13
| sP14
| sP30
| sP33
| sP49
| sP50
| sP54
| sP57
| sP56
| sP52
| sP45
| sP44
| sP39
| sP36
| sP35
| sP28
| sP19
| sP18
| sP11
| sP7
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_552,c_838,c_444,c_440,c_436,c_432,c_552,c_551,c_1115,c_1119,c_1123,c_1127,c_1131,c_1135,c_1139,c_1145,c_1149,c_1153,c_1157,c_1161,c_1165,c_1169,c_1173,c_1177,c_1197,c_1201,c_1205,c_1209,c_1213,c_1217,c_1221,c_1225,c_1229,c_1233,c_1237,c_1241,c_1245,c_1249,c_1253,c_1257,c_1263,c_1267,c_1271,c_1275,c_1279]) ).
cnf(c_1632,plain,
( sP57
| sP56
| sP54
| sP52
| sP50
| sP49
| sP45
| sP44
| sP39
| sP36
| sP35
| sP33
| sP30
| sP28
| sP19
| sP18
| sP14
| sP13
| sP11
| sP9
| sP7
| sP6 ),
inference(renaming,[status(thm)],[c_1631]) ).
cnf(c_1637,plain,
( sP75
| sP79
| sP80
| sP96
| sP99
| sP115
| sP116
| sP120
| sP123
| sP122
| sP118
| sP111
| sP110
| sP105
| sP102
| sP101
| sP94
| sP85
| sP84
| sP77
| sP73
| sP72 ),
inference(global_subsumption_just,[status(thm)],[c_833,c_1628]) ).
cnf(c_1638,plain,
( sP123
| sP122
| sP120
| sP118
| sP116
| sP115
| sP111
| sP110
| sP105
| sP102
| sP101
| sP99
| sP96
| sP94
| sP85
| sP84
| sP80
| sP79
| sP77
| sP75
| sP73
| sP72 ),
inference(renaming,[status(thm)],[c_1637]) ).
cnf(c_1641,plain,
( sP9
| sP13
| sP14
| sP30
| sP33
| sP49
| sP50
| sP54
| sP57
| sP56
| sP52
| sP45
| sP44
| sP39
| sP36
| sP35
| sP28
| sP19
| sP18
| sP11
| sP7
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_549,c_1632]) ).
cnf(c_1642,plain,
( sP57
| sP56
| sP54
| sP52
| sP50
| sP49
| sP45
| sP44
| sP39
| sP36
| sP35
| sP33
| sP30
| sP28
| sP19
| sP18
| sP14
| sP13
| sP11
| sP9
| sP7
| sP6 ),
inference(renaming,[status(thm)],[c_1641]) ).
cnf(c_1657,plain,
( sP137
| h2(e13) != e23
| op2(h2(e10),h2(e10)) != h2(op1(e10,e10))
| op2(h2(e10),h2(e11)) != h2(op1(e10,e11))
| op2(h2(e10),h2(e12)) != h2(op1(e10,e12))
| op2(h2(e10),h2(e13)) != h2(op1(e10,e13))
| op2(h2(e11),h2(e10)) != h2(op1(e11,e10))
| op2(h2(e11),h2(e11)) != h2(op1(e11,e11))
| op2(h2(e11),h2(e12)) != h2(op1(e11,e12))
| op2(h2(e11),h2(e13)) != h2(op1(e11,e13))
| op2(h2(e12),h2(e10)) != h2(op1(e12,e10))
| op2(h2(e12),h2(e11)) != h2(op1(e12,e11))
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| op2(h2(e12),h2(e13)) != h2(op1(e12,e13))
| op2(h2(e13),h2(e10)) != h2(op1(e13,e10))
| op2(h2(e13),h2(e11)) != h2(op1(e13,e11))
| op2(h2(e13),h2(e12)) != h2(op1(e13,e12))
| op2(h2(e13),h2(e13)) != h2(op1(e13,e13))
| sP135 ),
inference(global_subsumption_just,[status(thm)],[c_915,c_850,c_889,c_915]) ).
cnf(c_1658,negated_conjecture,
( op2(h2(e13),h2(e13)) != h2(op1(e13,e13))
| op2(h2(e13),h2(e12)) != h2(op1(e13,e12))
| op2(h2(e13),h2(e11)) != h2(op1(e13,e11))
| op2(h2(e13),h2(e10)) != h2(op1(e13,e10))
| op2(h2(e12),h2(e13)) != h2(op1(e12,e13))
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| op2(h2(e12),h2(e11)) != h2(op1(e12,e11))
| op2(h2(e12),h2(e10)) != h2(op1(e12,e10))
| op2(h2(e11),h2(e13)) != h2(op1(e11,e13))
| op2(h2(e11),h2(e12)) != h2(op1(e11,e12))
| op2(h2(e11),h2(e11)) != h2(op1(e11,e11))
| op2(h2(e11),h2(e10)) != h2(op1(e11,e10))
| op2(h2(e10),h2(e13)) != h2(op1(e10,e13))
| op2(h2(e10),h2(e12)) != h2(op1(e10,e12))
| op2(h2(e10),h2(e11)) != h2(op1(e10,e11))
| op2(h2(e10),h2(e10)) != h2(op1(e10,e10))
| h2(e13) != e23
| sP137
| sP135 ),
inference(renaming,[status(thm)],[c_1657]) ).
cnf(c_4587,plain,
h2(e12) = e22,
inference(light_normalisation,[status(thm)],[c_848,c_1619]) ).
cnf(c_4627,plain,
( e22 != e22
| ~ sP137 ),
inference(demodulation,[status(thm)],[c_884,c_4587]) ).
cnf(c_4628,plain,
~ sP137,
inference(equality_resolution_simp,[status(thm)],[c_4627]) ).
cnf(c_4694,plain,
op2(e22,e21) = e23,
inference(light_normalisation,[status(thm)],[c_840,c_1619]) ).
cnf(c_4695,plain,
op1(e12,e11) = e13,
inference(light_normalisation,[status(thm)],[c_837,c_1625]) ).
cnf(c_4700,plain,
( ~ sP72
| h3(e12) = e21 ),
inference(light_normalisation,[status(thm)],[c_799,c_852]) ).
cnf(c_4711,plain,
( ~ sP73
| h4(e12) = e21 ),
inference(light_normalisation,[status(thm)],[c_795,c_856]) ).
cnf(c_4726,plain,
( ~ sP77
| h4(e12) = e22 ),
inference(light_normalisation,[status(thm)],[c_779,c_856]) ).
cnf(c_4737,plain,
( ~ sP79
| e23 = e22 ),
inference(light_normalisation,[status(thm)],[c_771,c_1619]) ).
cnf(c_4738,plain,
~ sP79,
inference(forward_subsumption_resolution,[status(thm)],[c_4737,c_247]) ).
cnf(c_4743,plain,
( ~ sP80
| h3(e12) = e23 ),
inference(light_normalisation,[status(thm)],[c_767,c_852]) ).
cnf(c_4776,plain,
( ~ sP94
| h1(e12) = e23 ),
inference(light_normalisation,[status(thm)],[c_711,c_844]) ).
cnf(c_4787,plain,
( ~ sP96
| h3(e12) = e23 ),
inference(light_normalisation,[status(thm)],[c_703,c_852]) ).
cnf(c_4798,plain,
( ~ sP99
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_691,c_1619]) ).
cnf(c_4799,plain,
~ sP99,
inference(forward_subsumption_resolution,[status(thm)],[c_4798,c_251]) ).
cnf(c_4811,plain,
( ~ sP102
| e23 = e22 ),
inference(light_normalisation,[status(thm)],[c_681,c_4694]) ).
cnf(c_4812,plain,
~ sP102,
inference(forward_subsumption_resolution,[status(thm)],[c_4811,c_247]) ).
cnf(c_4813,plain,
( ~ sP105
| e23 = e22 ),
inference(light_normalisation,[status(thm)],[c_669,c_4694]) ).
cnf(c_4814,plain,
~ sP105,
inference(forward_subsumption_resolution,[status(thm)],[c_4813,c_247]) ).
cnf(c_4819,plain,
( ~ sP110
| h1(e12) = e23 ),
inference(light_normalisation,[status(thm)],[c_647,c_844]) ).
cnf(c_4830,plain,
( ~ sP111
| e23 = e22 ),
inference(light_normalisation,[status(thm)],[c_643,c_1619]) ).
cnf(c_4831,plain,
~ sP111,
inference(forward_subsumption_resolution,[status(thm)],[c_4830,c_247]) ).
cnf(c_4836,plain,
( ~ sP115
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_627,c_1619]) ).
cnf(c_4837,plain,
~ sP115,
inference(forward_subsumption_resolution,[status(thm)],[c_4836,c_251]) ).
cnf(c_4875,plain,
( ~ sP122
| h1(e12) = e22 ),
inference(light_normalisation,[status(thm)],[c_599,c_844]) ).
cnf(c_4918,plain,
( ~ sP13
| e13 = e12 ),
inference(light_normalisation,[status(thm)],[c_487,c_1625]) ).
cnf(c_4919,plain,
~ sP13,
inference(forward_subsumption_resolution,[status(thm)],[c_4918,c_241]) ).
cnf(c_4964,plain,
( ~ sP33
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_407,c_1625]) ).
cnf(c_4965,plain,
~ sP33,
inference(forward_subsumption_resolution,[status(thm)],[c_4964,c_245]) ).
cnf(c_4974,plain,
( ~ sP36
| e13 = e12 ),
inference(light_normalisation,[status(thm)],[c_397,c_4695]) ).
cnf(c_4975,plain,
~ sP36,
inference(forward_subsumption_resolution,[status(thm)],[c_4974,c_241]) ).
cnf(c_4976,plain,
( ~ sP39
| e13 = e12 ),
inference(light_normalisation,[status(thm)],[c_385,c_4695]) ).
cnf(c_4977,plain,
~ sP39,
inference(forward_subsumption_resolution,[status(thm)],[c_4976,c_241]) ).
cnf(c_4990,plain,
( ~ sP45
| e13 = e12 ),
inference(light_normalisation,[status(thm)],[c_359,c_1625]) ).
cnf(c_4991,plain,
~ sP45,
inference(forward_subsumption_resolution,[status(thm)],[c_4990,c_241]) ).
cnf(c_4996,plain,
( ~ sP49
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_343,c_1625]) ).
cnf(c_4997,plain,
~ sP49,
inference(forward_subsumption_resolution,[status(thm)],[c_4996,c_245]) ).
cnf(c_5034,plain,
op2(h4(e12),e23) = h4(e13),
inference(light_normalisation,[status(thm)],[c_855,c_856]) ).
cnf(c_5036,plain,
h2(e13) = e23,
inference(light_normalisation,[status(thm)],[c_847,c_1619,c_4694]) ).
cnf(c_5039,plain,
( h1(e12) != e21
| ~ sP72 ),
inference(light_normalisation,[status(thm)],[c_800,c_844]) ).
cnf(c_5111,plain,
( h3(e12) != e20
| ~ sP101 ),
inference(light_normalisation,[status(thm)],[c_684,c_852]) ).
cnf(c_5133,plain,
( h4(e12) != e20
| ~ sP116 ),
inference(light_normalisation,[status(thm)],[c_624,c_856]) ).
cnf(c_5296,plain,
op2(e22,e20) != h1(e12),
inference(light_normalisation,[status(thm)],[c_239,c_844]) ).
cnf(c_5298,plain,
op2(e20,e21) != e22,
inference(light_normalisation,[status(thm)],[c_234,c_1619]) ).
cnf(c_5302,plain,
op2(e23,e21) != e23,
inference(light_normalisation,[status(thm)],[c_229,c_4694]) ).
cnf(c_5303,plain,
~ sP118,
inference(backward_subsumption_resolution,[status(thm)],[c_617,c_5302]) ).
cnf(c_5304,plain,
~ sP120,
inference(backward_subsumption_resolution,[status(thm)],[c_609,c_5302]) ).
cnf(c_5308,plain,
op2(e20,e23) != h4(e12),
inference(light_normalisation,[status(thm)],[c_220,c_856]) ).
cnf(c_5309,plain,
op2(e21,e23) != h4(e12),
inference(light_normalisation,[status(thm)],[c_218,c_856]) ).
cnf(c_5310,plain,
op2(e22,e23) != h4(e12),
inference(light_normalisation,[status(thm)],[c_217,c_856]) ).
cnf(c_5313,plain,
op2(e20,e23) != h1(e12),
inference(light_normalisation,[status(thm)],[c_214,c_844]) ).
cnf(c_5314,plain,
op2(e21,e20) != e22,
inference(light_normalisation,[status(thm)],[c_210,c_1619]) ).
cnf(c_5316,plain,
op2(e21,e23) != e22,
inference(light_normalisation,[status(thm)],[c_206,c_1619]) ).
cnf(c_5317,plain,
op2(e22,e20) != e23,
inference(light_normalisation,[status(thm)],[c_204,c_4694]) ).
cnf(c_5318,plain,
op2(e22,e20) != h3(e12),
inference(light_normalisation,[status(thm)],[c_203,c_852]) ).
cnf(c_5319,plain,
h3(e12) != e23,
inference(light_normalisation,[status(thm)],[c_201,c_852,c_4694]) ).
cnf(c_5320,plain,
~ sP96,
inference(backward_subsumption_resolution,[status(thm)],[c_4787,c_5319]) ).
cnf(c_5321,plain,
~ sP80,
inference(backward_subsumption_resolution,[status(thm)],[c_4743,c_5319]) ).
cnf(c_5322,plain,
op2(e22,e23) != e23,
inference(light_normalisation,[status(thm)],[c_200,c_4694]) ).
cnf(c_5323,plain,
op2(e22,e23) != h3(e12),
inference(light_normalisation,[status(thm)],[c_199,c_852]) ).
cnf(c_5325,plain,
op2(e23,e21) != h4(e12),
inference(light_normalisation,[status(thm)],[c_194,c_856]) ).
cnf(c_5326,plain,
op2(e23,e22) != h4(e12),
inference(light_normalisation,[status(thm)],[c_193,c_856]) ).
cnf(c_5328,plain,
op1(e10,e11) != e13,
inference(light_normalisation,[status(thm)],[c_185,c_4695]) ).
cnf(c_5331,plain,
op1(e13,e11) != e13,
inference(light_normalisation,[status(thm)],[c_181,c_4695]) ).
cnf(c_5332,plain,
~ sP52,
inference(backward_subsumption_resolution,[status(thm)],[c_333,c_5331]) ).
cnf(c_5333,plain,
~ sP54,
inference(backward_subsumption_resolution,[status(thm)],[c_325,c_5331]) ).
cnf(c_5336,plain,
op1(e11,e13) != e12,
inference(light_normalisation,[status(thm)],[c_158,c_1625]) ).
cnf(c_5337,plain,
op1(e12,e10) != e13,
inference(light_normalisation,[status(thm)],[c_156,c_4695]) ).
cnf(c_5338,plain,
op1(e12,e12) != e13,
inference(light_normalisation,[status(thm)],[c_153,c_4695]) ).
cnf(c_5339,plain,
~ sP14,
inference(backward_subsumption_resolution,[status(thm)],[c_483,c_5338]) ).
cnf(c_5340,plain,
~ sP30,
inference(backward_subsumption_resolution,[status(thm)],[c_419,c_5338]) ).
cnf(c_5365,plain,
( ~ sP130
| op2(e21,e22) = e21 ),
inference(light_normalisation,[status(thm)],[c_565,c_1619]) ).
cnf(c_5441,plain,
( ~ sP65
| op1(e12,e13) = e11 ),
inference(light_normalisation,[status(thm)],[c_274,c_4695]) ).
cnf(c_5480,plain,
( op2(e23,h4(e12)) = e23
| sP131
| sP130
| sP129 ),
inference(light_normalisation,[status(thm)],[c_829,c_856]) ).
cnf(c_5525,plain,
h4(e12) = e20,
inference(light_normalisation,[status(thm)],[c_842,c_1619,c_856,c_4694]) ).
cnf(c_5526,plain,
( op2(e23,e20) = e23
| sP131
| sP130
| sP129 ),
inference(demodulation,[status(thm)],[c_5480,c_5525]) ).
cnf(c_5527,plain,
op2(e23,e22) != e20,
inference(demodulation,[status(thm)],[c_5326,c_5525]) ).
cnf(c_5528,plain,
op2(e23,e21) != e20,
inference(demodulation,[status(thm)],[c_5325,c_5525]) ).
cnf(c_5530,plain,
op2(e22,e23) != e20,
inference(demodulation,[status(thm)],[c_5310,c_5525]) ).
cnf(c_5531,plain,
op2(e21,e23) != e20,
inference(demodulation,[status(thm)],[c_5309,c_5525]) ).
cnf(c_5532,plain,
op2(e20,e23) != e20,
inference(demodulation,[status(thm)],[c_5308,c_5525]) ).
cnf(c_5535,plain,
( e20 != e20
| ~ sP116 ),
inference(demodulation,[status(thm)],[c_5133,c_5525]) ).
cnf(c_5536,plain,
op2(e20,e23) = h4(e13),
inference(demodulation,[status(thm)],[c_5034,c_5525]) ).
cnf(c_5539,plain,
( ~ sP77
| e22 = e20 ),
inference(demodulation,[status(thm)],[c_4726,c_5525]) ).
cnf(c_5540,plain,
( ~ sP73
| e21 = e20 ),
inference(demodulation,[status(thm)],[c_4711,c_5525]) ).
cnf(c_5544,plain,
op2(e23,e23) = e20,
inference(demodulation,[status(thm)],[c_856,c_5525]) ).
cnf(c_5546,plain,
~ sP73,
inference(forward_subsumption_resolution,[status(thm)],[c_5540,c_252]) ).
cnf(c_5547,plain,
~ sP77,
inference(forward_subsumption_resolution,[status(thm)],[c_5539,c_251]) ).
cnf(c_5551,plain,
h1(e12) != h4(e13),
inference(demodulation,[status(thm)],[c_5313,c_5536]) ).
cnf(c_5552,plain,
op2(e22,e23) != h4(e13),
inference(demodulation,[status(thm)],[c_221,c_5536]) ).
cnf(c_5568,plain,
~ sP116,
inference(equality_resolution_simp,[status(thm)],[c_5535]) ).
cnf(c_5569,plain,
h4(e13) != e20,
inference(light_normalisation,[status(thm)],[c_5532,c_5536]) ).
cnf(c_5578,plain,
op1(e13,e13) = e10,
inference(light_normalisation,[status(thm)],[c_839,c_1625,c_4695]) ).
cnf(c_5579,plain,
( op1(e13,e10) = e13
| sP65
| sP64
| sP63 ),
inference(demodulation,[status(thm)],[c_545,c_5578]) ).
cnf(c_5581,plain,
op1(e13,e11) != e10,
inference(demodulation,[status(thm)],[c_146,c_5578]) ).
cnf(c_5584,plain,
op1(e11,e13) != e10,
inference(demodulation,[status(thm)],[c_170,c_5578]) ).
cnf(c_5588,plain,
( e10 != e10
| ~ sP50 ),
inference(demodulation,[status(thm)],[c_340,c_5578]) ).
cnf(c_5591,plain,
( ~ sP11
| e12 = e10 ),
inference(demodulation,[status(thm)],[c_495,c_5578]) ).
cnf(c_5592,plain,
( ~ sP7
| e11 = e10 ),
inference(demodulation,[status(thm)],[c_511,c_5578]) ).
cnf(c_5593,plain,
~ sP7,
inference(forward_subsumption_resolution,[status(thm)],[c_5592,c_246]) ).
cnf(c_5594,plain,
~ sP11,
inference(forward_subsumption_resolution,[status(thm)],[c_5591,c_245]) ).
cnf(c_5595,plain,
~ sP50,
inference(equality_resolution_simp,[status(thm)],[c_5588]) ).
cnf(c_5606,plain,
h2(e10) = e20,
inference(light_normalisation,[status(thm)],[c_849,c_1619,c_4694,c_5544]) ).
cnf(c_5607,plain,
( e20 != e20
| ~ sP135 ),
inference(demodulation,[status(thm)],[c_894,c_5606]) ).
cnf(c_5608,plain,
~ sP135,
inference(equality_resolution_simp,[status(thm)],[c_5607]) ).
cnf(c_5610,plain,
( op2(e21,e20) != e21
| ~ sP129
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_569,c_1619]) ).
cnf(c_5611,plain,
( op2(e21,e20) != e21
| ~ sP129 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5610,c_251]) ).
cnf(c_5618,plain,
( op2(e22,e20) != e22
| ~ sP129
| h3(e12) = e20 ),
inference(light_normalisation,[status(thm)],[c_568,c_852]) ).
cnf(c_5628,plain,
( op2(e20,e21) != e20
| ~ sP130
| h1(e12) = e21 ),
inference(light_normalisation,[status(thm)],[c_562,c_844]) ).
cnf(c_5649,plain,
( op2(e23,e22) != e23
| ~ sP131
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_553,c_5544]) ).
cnf(c_5650,plain,
( op2(e23,e22) != e23
| ~ sP131 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5649,c_251]) ).
cnf(c_5684,plain,
( op1(e13,e12) != e13
| ~ sP65
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_269,c_5578]) ).
cnf(c_5685,plain,
( op1(e13,e12) != e13
| ~ sP65 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5684,c_245]) ).
cnf(c_5707,plain,
( op2(e22,e23) != e22
| h3(e12) = e23
| sP131
| sP130
| sP129 ),
inference(light_normalisation,[status(thm)],[c_826,c_852]) ).
cnf(c_5708,plain,
( op2(e22,e23) != e22
| sP131
| sP130
| sP129 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5707,c_5319]) ).
cnf(c_5735,plain,
( op1(e12,e13) != e12
| sP65
| sP64
| sP63 ),
inference(forward_subsumption_resolution,[status(thm)],[c_542,c_5338]) ).
cnf(c_5748,plain,
( sP57
| sP56
| sP44
| sP35
| sP28
| sP19
| sP18
| sP9
| sP6 ),
inference(forward_subsumption_resolution,[status(thm)],[c_1642,c_5593,c_5594,c_4919,c_5339,c_5340,c_4965,c_4975,c_4977,c_4991,c_4997,c_5595,c_5332,c_5333]) ).
cnf(c_5776,plain,
( sP123
| sP122
| sP110
| sP101
| sP94
| sP85
| sP84
| sP75
| sP72 ),
inference(forward_subsumption_resolution,[status(thm)],[c_1638,c_5546,c_5547,c_4738,c_5321,c_5320,c_4799,c_4812,c_4814,c_4831,c_4837,c_5568,c_5303,c_5304]) ).
cnf(c_5852,plain,
( op2(e20,e22) = e22
| op2(e20,e21) = e22
| h1(e12) = e22
| h4(e13) = e22 ),
inference(light_normalisation,[status(thm)],[c_140,c_844,c_5536]) ).
cnf(c_5853,plain,
( op2(e20,e22) = e22
| h1(e12) = e22
| h4(e13) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5852,c_5298]) ).
cnf(c_5863,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| h1(e12) = e22 ),
inference(light_normalisation,[status(thm)],[c_139,c_844]) ).
cnf(c_5864,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| h1(e12) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5863,c_5314]) ).
cnf(c_5885,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| h1(e12) = e23 ),
inference(light_normalisation,[status(thm)],[c_137,c_844]) ).
cnf(c_5886,plain,
( op2(e23,e20) = e23
| op2(e21,e20) = e23
| h1(e12) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5885,c_5317]) ).
cnf(c_5904,plain,
( op2(e23,e21) = e20
| op2(e20,e21) = e20
| e23 = e20
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_135,c_1619,c_4694]) ).
cnf(c_5905,plain,
op2(e20,e21) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_5904,c_251,c_250,c_5528]) ).
cnf(c_5908,plain,
( e20 != e20
| ~ sP130
| h1(e12) = e21 ),
inference(demodulation,[status(thm)],[c_5628,c_5905]) ).
cnf(c_5910,plain,
( ~ sP129
| op2(e20,e20) = e21 ),
inference(demodulation,[status(thm)],[c_572,c_5905]) ).
cnf(c_5911,plain,
op2(e20,e22) != e20,
inference(demodulation,[status(thm)],[c_213,c_5905]) ).
cnf(c_5922,plain,
~ sP75,
inference(backward_subsumption_resolution,[status(thm)],[c_789,c_5911]) ).
cnf(c_5923,plain,
( sP123
| sP122
| sP110
| sP101
| sP94
| sP85
| sP84
| sP72 ),
inference(backward_subsumption_resolution,[status(thm)],[c_5776,c_5922]) ).
cnf(c_5940,plain,
( ~ sP129
| h1(e12) = e21 ),
inference(light_normalisation,[status(thm)],[c_5910,c_844]) ).
cnf(c_5947,plain,
( ~ sP130
| h1(e12) = e21 ),
inference(equality_resolution_simp,[status(thm)],[c_5908]) ).
cnf(c_5962,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e20) = e21
| e22 = e21 ),
inference(light_normalisation,[status(thm)],[c_134,c_1619]) ).
cnf(c_5963,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e20) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5962,c_249]) ).
cnf(c_5973,plain,
( op2(e23,e21) = e21
| e23 = e21
| e22 = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_133,c_1619,c_4694,c_5905]) ).
cnf(c_5974,plain,
op2(e23,e21) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_5973,c_252,c_249,c_248]) ).
cnf(c_6007,plain,
( op2(e23,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20
| h3(e12) = e20 ),
inference(light_normalisation,[status(thm)],[c_127,c_852]) ).
cnf(c_6008,plain,
( op2(e21,e22) = e20
| h3(e12) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_6007,c_5911,c_5527]) ).
cnf(c_6015,plain,
( op2(e22,e23) = e21
| op2(e22,e20) = e21
| h3(e12) = e21
| e23 = e21 ),
inference(light_normalisation,[status(thm)],[c_126,c_852,c_4694]) ).
cnf(c_6016,plain,
( op2(e22,e23) = e21
| op2(e22,e20) = e21
| h3(e12) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_6015,c_248]) ).
cnf(c_6070,plain,
( op2(e22,e23) = e21
| op2(e21,e23) = e21
| h4(e13) = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_117,c_5536,c_5544]) ).
cnf(c_6071,plain,
( op2(e22,e23) = e21
| op2(e21,e23) = e21
| h4(e13) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_6070,c_252]) ).
cnf(c_6089,plain,
( op2(e22,e23) = e22
| op2(e21,e23) = e22
| h4(e13) = e22
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_115,c_5536,c_5544]) ).
cnf(c_6090,plain,
( op2(e22,e23) = e22
| h4(e13) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_6089,c_251,c_5316]) ).
cnf(c_6097,plain,
( op2(e23,e22) = e23
| op2(e23,e20) = e23
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_114,c_5544,c_5974]) ).
cnf(c_6098,plain,
( op2(e23,e22) = e23
| op2(e23,e20) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[c_6097,c_250,c_248]) ).
cnf(c_6134,plain,
( h4(e13) = e23
| h4(e13) = e22
| h4(e13) = e21
| h4(e13) = e20 ),
inference(light_normalisation,[status(thm)],[c_109,c_5536]) ).
cnf(c_6135,plain,
( h4(e13) = e23
| h4(e13) = e22
| h4(e13) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_6134,c_5569]) ).
cnf(c_6165,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_105,c_5531,c_5316]) ).
cnf(c_6172,plain,
( op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_104,c_5317]) ).
cnf(c_6193,plain,
( op2(e22,e23) = e22
| op2(e22,e23) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_101,c_5530,c_5322]) ).
cnf(c_6270,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e10) = e13 ),
inference(forward_subsumption_resolution,[status(thm)],[c_90,c_5328]) ).
cnf(c_6280,plain,
( op1(e13,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(forward_subsumption_resolution,[status(thm)],[c_89,c_5337]) ).
cnf(c_6290,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e10) = e10
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_88,c_1625]) ).
cnf(c_6291,plain,
( op1(e11,e12) = e10
| op1(e11,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_6290,c_245,c_5584]) ).
cnf(c_6298,plain,
( op1(e13,e11) = e10
| op1(e10,e11) = e10
| e13 = e10
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_87,c_1625,c_4695]) ).
cnf(c_6299,plain,
op1(e10,e11) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_6298,c_245,c_244,c_5581]) ).
cnf(c_6302,plain,
( e10 != e10
| ~ sP64
| op1(e10,e10) = e11 ),
inference(demodulation,[status(thm)],[c_278,c_6299]) ).
cnf(c_6303,plain,
( ~ sP63
| op1(e10,e10) = e11 ),
inference(demodulation,[status(thm)],[c_288,c_6299]) ).
cnf(c_6305,plain,
op1(e10,e12) != e10,
inference(demodulation,[status(thm)],[c_165,c_6299]) ).
cnf(c_6306,plain,
op1(e10,e10) != e10,
inference(demodulation,[status(thm)],[c_168,c_6299]) ).
cnf(c_6316,plain,
~ sP9,
inference(backward_subsumption_resolution,[status(thm)],[c_505,c_6305]) ).
cnf(c_6317,plain,
( sP57
| sP56
| sP44
| sP35
| sP28
| sP19
| sP18
| sP6 ),
inference(backward_subsumption_resolution,[status(thm)],[c_5748,c_6316]) ).
cnf(c_6338,plain,
( ~ sP64
| op1(e10,e10) = e11 ),
inference(equality_resolution_simp,[status(thm)],[c_6302]) ).
cnf(c_6364,plain,
( op1(e13,e11) = e11
| e13 = e11
| e12 = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_85,c_1625,c_4695,c_6299]) ).
cnf(c_6365,plain,
op1(e13,e11) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_6364,c_246,c_243,c_242]) ).
cnf(c_6368,plain,
op1(e13,e12) != e11,
inference(demodulation,[status(thm)],[c_147,c_6365]) ).
cnf(c_6416,plain,
( op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_77,c_6368]) ).
cnf(c_6426,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e10) = e12
| e13 = e12 ),
inference(light_normalisation,[status(thm)],[c_76,c_4695]) ).
cnf(c_6427,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_6426,c_241]) ).
cnf(c_6468,plain,
( op1(e13,e12) = e12
| op1(e13,e10) = e12
| e12 = e11
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_68,c_5578,c_6365]) ).
cnf(c_6469,plain,
( op1(e13,e12) = e12
| op1(e13,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_6468,c_245,c_243]) ).
cnf(c_6484,plain,
( op1(e13,e12) = e13
| op1(e13,e10) = e13
| e13 = e11
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_66,c_5578,c_6365]) ).
cnf(c_6485,plain,
( op1(e13,e12) = e13
| op1(e13,e10) = e13 ),
inference(forward_subsumption_resolution,[status(thm)],[c_6484,c_244,c_242]) ).
cnf(c_6500,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_64,c_6306]) ).
cnf(c_6510,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_62,c_6305]) ).
cnf(c_6550,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_57,c_5584,c_5336]) ).
cnf(c_6557,plain,
( op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_56,c_5337]) ).
cnf(c_6748,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e10)) != h1(e12)
| h2(e13) != e23
| e23 != e23
| e22 != e22
| e21 != e21
| e20 != e20
| sP137
| sP135 ),
inference(light_normalisation,[status(thm)],[c_1658,c_1625,c_1619,c_844,c_850,c_852,c_4587,c_4694,c_4695,c_5036,c_5536,c_5544,c_5578,c_5606,c_5905,c_5974,c_6299,c_6365]) ).
cnf(c_6749,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e10)) != h1(e12)
| h2(e13) != e23
| sP137
| sP135 ),
inference(equality_resolution_simp,[status(thm)],[c_6748]) ).
cnf(c_6750,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e10)) != h1(e12)
| e23 != e23
| sP137
| sP135 ),
inference(demodulation,[status(thm)],[c_6749,c_5036]) ).
cnf(c_6751,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e10)) != h1(e12)
| sP137
| sP135 ),
inference(equality_resolution_simp,[status(thm)],[c_6750]) ).
cnf(c_6752,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e10)) != op2(e23,e20)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e12)
| h2(op1(e12,e10)) != op2(e22,e20)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e11,e10)) != op2(e21,e20)
| h2(op1(e10,e13)) != h4(e13)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e10)) != h1(e12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6751,c_5608,c_4628]) ).
cnf(c_6952,plain,
( op1(e13,e12) = e13
| sP56
| sP44
| sP35
| sP28
| sP19
| sP18
| sP6 ),
inference(resolution,[status(thm)],[c_6317,c_313]) ).
cnf(c_6953,plain,
( sP28
| op1(e13,e12) = e13
| sP44
| sP18
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_6952,c_317,c_462,c_398,c_6485,c_6952]) ).
cnf(c_6954,plain,
( op1(e13,e12) = e13
| sP44
| sP28
| sP18
| sP6 ),
inference(renaming,[status(thm)],[c_6953]) ).
cnf(c_6970,plain,
( op1(e11,e12) != e11
| sP56
| sP44
| sP35
| sP28
| sP19
| sP18
| sP6 ),
inference(resolution,[status(thm)],[c_6317,c_310]) ).
cnf(c_7011,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| sP44
| sP35
| sP28
| sP19
| sP18
| sP6 ),
inference(resolution,[status(thm)],[c_6970,c_315]) ).
cnf(c_7106,plain,
( op2(e23,e22) = e23
| sP122
| sP110
| sP101
| sP94
| sP85
| sP84
| sP72 ),
inference(resolution,[status(thm)],[c_5923,c_597]) ).
cnf(c_7107,plain,
( sP94
| op2(e23,e22) = e23
| sP110
| sP84
| sP72 ),
inference(global_subsumption_just,[status(thm)],[c_7106,c_601,c_746,c_682,c_6098,c_7106]) ).
cnf(c_7108,plain,
( op2(e23,e22) = e23
| sP110
| sP94
| sP84
| sP72 ),
inference(renaming,[status(thm)],[c_7107]) ).
cnf(c_7124,plain,
( op2(e21,e22) != e21
| sP122
| sP110
| sP101
| sP94
| sP85
| sP84
| sP72 ),
inference(resolution,[status(thm)],[c_5923,c_594]) ).
cnf(c_7162,plain,
( op2(e21,e22) != e21
| h1(e12) = e22
| sP110
| sP101
| sP94
| sP85
| sP84
| sP72 ),
inference(resolution,[status(thm)],[c_7124,c_4875]) ).
cnf(c_9279,plain,
( op1(e13,e12) != e13
| op1(e13,e10) = e13
| sP64
| sP63 ),
inference(resolution,[status(thm)],[c_5579,c_5685]) ).
cnf(c_9280,plain,
( op1(e13,e10) = e13
| sP64
| sP63 ),
inference(global_subsumption_just,[status(thm)],[c_9279,c_5579,c_5685,c_6485]) ).
cnf(c_10273,plain,
( op2(e23,e22) != e23
| op2(e23,e20) = e23
| sP130
| sP129 ),
inference(resolution,[status(thm)],[c_5526,c_5650]) ).
cnf(c_10274,plain,
( op2(e23,e20) = e23
| sP130
| sP129 ),
inference(global_subsumption_just,[status(thm)],[c_10273,c_5526,c_5650,c_6098]) ).
cnf(c_21875,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_10274,c_9280,c_7162,c_7108,c_7011,c_6954,c_6752,c_6557,c_6550,c_6510,c_6500,c_6469,c_6427,c_6416,c_6338,c_6303,c_6291,c_6280,c_6270,c_6193,c_6172,c_6165,c_6135,c_6090,c_6071,c_6016,c_6008,c_5963,c_5947,c_5940,c_5886,c_5864,c_5853,c_5735,c_5708,c_5618,c_5611,c_5606,c_5552,c_5551,c_5441,c_5365,c_5323,c_5319,c_5318,c_5296,c_5111,c_5039,c_5036,c_4819,c_4776,c_4700,c_4694,c_4587,c_852,c_850,c_753,c_750,c_749,c_713,c_685,c_649,c_556,c_516,c_469,c_465,c_427,c_401,c_363,c_249,c_248,c_247,c_244,c_243,c_242,c_241,c_219,c_208,c_205,c_202,c_197,c_192,c_191,c_190,c_187,c_179,c_178,c_175,c_174,c_167,c_149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG102+1 : TPTP v8.2.0. Released v2.7.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n012.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Jun 19 15:13:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.96/1.59 % SZS status Started for theBenchmark.p
% 5.96/1.59 % SZS status Theorem for theBenchmark.p
% 5.96/1.59
% 5.96/1.59 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 5.96/1.59
% 5.96/1.59 ------ iProver source info
% 5.96/1.59
% 5.96/1.59 git: date: 2024-06-12 09:56:46 +0000
% 5.96/1.59 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 5.96/1.59 git: non_committed_changes: false
% 5.96/1.59
% 5.96/1.59 ------ Parsing...
% 5.96/1.59 ------ Clausification by vclausify_rel & Parsing by iProver...
% 5.96/1.59
% 5.96/1.59 ------ Preprocessing... sup_sim: 436 sf_s rm: 116 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 5.96/1.59
% 5.96/1.59 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 5.96/1.59
% 5.96/1.59 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 5.96/1.59 ------ Proving...
% 5.96/1.59 ------ Problem Properties
% 5.96/1.59
% 5.96/1.59
% 5.96/1.59 clauses 297
% 5.96/1.59 conjectures 0
% 5.96/1.59 EPR 28
% 5.96/1.59 Horn 211
% 5.96/1.59 unary 134
% 5.96/1.59 binary 98
% 5.96/1.59 lits 632
% 5.96/1.59 lits eq 496
% 5.96/1.59 fd_pure 0
% 5.96/1.59 fd_pseudo 0
% 5.96/1.59 fd_cond 0
% 5.96/1.59 fd_pseudo_cond 0
% 5.96/1.59 AC symbols 0
% 5.96/1.59
% 5.96/1.59 ------ Schedule dynamic 5 is on
% 5.96/1.59
% 5.96/1.59 ------ no conjectures: strip conj schedule
% 5.96/1.59
% 5.96/1.59 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 5.96/1.59
% 5.96/1.59
% 5.96/1.59 ------
% 5.96/1.59 Current options:
% 5.96/1.59 ------
% 5.96/1.59
% 5.96/1.59
% 5.96/1.59
% 5.96/1.59
% 5.96/1.59 ------ Proving...
% 5.96/1.59
% 5.96/1.59
% 5.96/1.59 % SZS status Theorem for theBenchmark.p
% 5.96/1.59
% 5.96/1.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.96/1.60
% 5.96/1.60
%------------------------------------------------------------------------------