TSTP Solution File: ALG124+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG124+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 : Fri May 3 02:03:50 EDT 2024
% Result : Theorem 0.49s 1.18s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 37
% Syntax : Number of formulae : 331 ( 159 unt; 0 def)
% Number of atoms : 2515 (2405 equ)
% Maximal formula atoms : 132 ( 7 avg)
% Number of connectives : 3252 (1068 ~;1333 |; 851 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(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) )
& ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 = op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e13 != op1(e12,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e12,e13)
| e13 != op1(e12,e11) )
& ( e10 = op1(e12,e13)
| e13 != op1(e12,e10) )
& ( e13 = op1(e11,e13)
| e13 != op1(e11,e13) )
& ( e12 = op1(e11,e13)
| e13 != op1(e11,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e11,e13)
| e13 != op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e13 != op1(e10,e13) )
& ( e12 = op1(e10,e13)
| e13 != op1(e10,e12) )
& ( e11 = op1(e10,e13)
| e13 != op1(e10,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 ) )
| ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e13,e12)
| e12 != op1(e13,e12) )
& ( e11 = op1(e13,e12)
| e12 != op1(e13,e11) )
& ( e10 = op1(e13,e12)
| e12 != op1(e13,e10) )
& ( e13 = op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e13 = op1(e11,e12)
| e12 != op1(e11,e13) )
& ( e12 = op1(e11,e12)
| e12 != op1(e11,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e11,e12)
| e12 != op1(e11,e10) )
& ( e13 = op1(e10,e12)
| e12 != op1(e10,e13) )
& ( e12 = op1(e10,e12)
| e12 != op1(e10,e12) )
& ( e11 = op1(e10,e12)
| e12 != op1(e10,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 ) )
| ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e13,e11)
| e11 != op1(e13,e12) )
& ( e11 = op1(e13,e11)
| e11 != op1(e13,e11) )
& ( e10 = op1(e13,e11)
| e11 != op1(e13,e10) )
& ( e13 = op1(e12,e11)
| e11 != op1(e12,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e12,e11)
| e11 != op1(e12,e11) )
& ( e10 = op1(e12,e11)
| e11 != op1(e12,e10) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e13 = op1(e10,e11)
| e11 != op1(e10,e13) )
& ( e12 = op1(e10,e11)
| e11 != op1(e10,e12) )
& ( e11 = op1(e10,e11)
| e11 != op1(e10,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 ) )
| ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e13,e10)
| e10 != op1(e13,e12) )
& ( e11 = op1(e13,e10)
| e10 != op1(e13,e11) )
& ( e10 = op1(e13,e10)
| e10 != op1(e13,e10) )
& ( e13 = op1(e12,e10)
| e10 != op1(e12,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e12,e10)
| e10 != op1(e12,e11) )
& ( e10 = op1(e12,e10)
| e10 != op1(e12,e10) )
& ( e13 = op1(e11,e10)
| e10 != op1(e11,e13) )
& ( e12 = op1(e11,e10)
| e10 != op1(e11,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e11,e10)
| e10 != op1(e11,e10) )
& ( op1(e10,e10) = e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) ) ) )
& e13 != op1(e13,e13)
& e12 != op1(e12,e12)
& e11 != op1(e11,e11)
& e10 != op1(e10,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e23 != op2(e22,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e22,e23)
| e23 != op2(e22,e21) )
& ( e20 = op2(e22,e23)
| e23 != op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e23 != op2(e21,e23) )
& ( e22 = op2(e21,e23)
| e23 != op2(e21,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e21,e23)
| e23 != op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e23 != op2(e20,e23) )
& ( e22 = op2(e20,e23)
| e23 != op2(e20,e22) )
& ( e21 = op2(e20,e23)
| e23 != op2(e20,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 ) )
| ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e23,e22)
| e22 != op2(e23,e22) )
& ( e21 = op2(e23,e22)
| e22 != op2(e23,e21) )
& ( e20 = op2(e23,e22)
| e22 != op2(e23,e20) )
& ( e23 = op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e23 = op2(e21,e22)
| e22 != op2(e21,e23) )
& ( e22 = op2(e21,e22)
| e22 != op2(e21,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e21,e22)
| e22 != op2(e21,e20) )
& ( e23 = op2(e20,e22)
| e22 != op2(e20,e23) )
& ( e22 = op2(e20,e22)
| e22 != op2(e20,e22) )
& ( e21 = op2(e20,e22)
| e22 != op2(e20,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e23,e21)
| e21 != op2(e23,e22) )
& ( e21 = op2(e23,e21)
| e21 != op2(e23,e21) )
& ( e20 = op2(e23,e21)
| e21 != op2(e23,e20) )
& ( e23 = op2(e22,e21)
| e21 != op2(e22,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e22,e21)
| e21 != op2(e22,e21) )
& ( e20 = op2(e22,e21)
| e21 != op2(e22,e20) )
& ( e23 = op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e23 = op2(e20,e21)
| e21 != op2(e20,e23) )
& ( e22 = op2(e20,e21)
| e21 != op2(e20,e22) )
& ( e21 = op2(e20,e21)
| e21 != op2(e20,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 ) )
| ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e23,e20)
| e20 != op2(e23,e22) )
& ( e21 = op2(e23,e20)
| e20 != op2(e23,e21) )
& ( e20 = op2(e23,e20)
| e20 != op2(e23,e20) )
& ( e23 = op2(e22,e20)
| e20 != op2(e22,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e22,e20)
| e20 != op2(e22,e21) )
& ( e20 = op2(e22,e20)
| e20 != op2(e22,e20) )
& ( e23 = op2(e21,e20)
| e20 != op2(e21,e23) )
& ( e22 = op2(e21,e20)
| e20 != op2(e21,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e21,e20)
| e20 != op2(e21,e20) )
& ( op2(e20,e20) = e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) = e21
| e20 != op2(e20,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) ) ) )
& e23 != op2(e23,e23)
& e22 != op2(e22,e22)
& e21 != op2(e21,e21)
& e20 != op2(e20,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( op1(e10,e10) = e13
& e12 = op1(op1(e10,e10),e10)
& e11 = op1(op1(op1(e10,e10),e10),e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( op2(e20,e20) = e23
& e22 = op2(op2(e20,e20),e20)
& e21 = op2(op2(op2(e20,e20),e20),e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( op2(e20,e20) = h1(e13)
& op2(op2(e20,e20),e20) = h1(e12)
& op2(op2(op2(e20,e20),e20),e20) = h1(e11)
& e20 = h1(e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( op2(e21,e21) = h2(e13)
& op2(op2(e21,e21),e21) = h2(e12)
& h2(e11) = op2(op2(op2(e21,e21),e21),e21)
& e21 = h2(e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( op2(e22,e22) = h3(e13)
& op2(op2(e22,e22),e22) = h3(e12)
& h3(e11) = op2(op2(op2(e22,e22),e22),e22)
& e22 = h3(e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( op2(e23,e23) = h4(e13)
& op2(op2(e23,e23),e23) = h4(e12)
& h4(e11) = op2(op2(op2(e23,e23),e23),e23)
& e23 = h4(e10) ),
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,
( ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e13,e10)
| e10 != op1(e13,e12) )
& ( e11 = op1(e13,e10)
| e10 != op1(e13,e11) )
& ( e10 = op1(e13,e10)
| e10 != op1(e13,e10) )
& ( e13 = op1(e12,e10)
| e10 != op1(e12,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e12,e10)
| e10 != op1(e12,e11) )
& ( e10 = op1(e12,e10)
| e10 != op1(e12,e10) )
& ( e13 = op1(e11,e10)
| e10 != op1(e11,e13) )
& ( e12 = op1(e11,e10)
| e10 != op1(e11,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e11,e10)
| e10 != op1(e11,e10) )
& ( op1(e10,e10) = e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e13,e11)
| e11 != op1(e13,e12) )
& ( e11 = op1(e13,e11)
| e11 != op1(e13,e11) )
& ( e10 = op1(e13,e11)
| e11 != op1(e13,e10) )
& ( e13 = op1(e12,e11)
| e11 != op1(e12,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e12,e11)
| e11 != op1(e12,e11) )
& ( e10 = op1(e12,e11)
| e11 != op1(e12,e10) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e13 = op1(e10,e11)
| e11 != op1(e10,e13) )
& ( e12 = op1(e10,e11)
| e11 != op1(e10,e12) )
& ( e11 = op1(e10,e11)
| e11 != op1(e10,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e13,e12)
| e12 != op1(e13,e12) )
& ( e11 = op1(e13,e12)
| e12 != op1(e13,e11) )
& ( e10 = op1(e13,e12)
| e12 != op1(e13,e10) )
& ( e13 = op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e13 = op1(e11,e12)
| e12 != op1(e11,e13) )
& ( e12 = op1(e11,e12)
| e12 != op1(e11,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e11,e12)
| e12 != op1(e11,e10) )
& ( e13 = op1(e10,e12)
| e12 != op1(e10,e13) )
& ( e12 = op1(e10,e12)
| e12 != op1(e10,e12) )
& ( e11 = op1(e10,e12)
| e12 != op1(e10,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 = op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e13 != op1(e12,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e12,e13)
| e13 != op1(e12,e11) )
& ( e10 = op1(e12,e13)
| e13 != op1(e12,e10) )
& ( e13 = op1(e11,e13)
| e13 != op1(e11,e13) )
& ( e12 = op1(e11,e13)
| e13 != op1(e11,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e11,e13)
| e13 != op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e13 != op1(e10,e13) )
& ( e12 = op1(e10,e13)
| e13 != op1(e10,e12) )
& ( e11 = op1(e10,e13)
| e13 != op1(e10,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( sP3
| sP2
| sP1
| sP0 )
& e13 != op1(e13,e13)
& e12 != op1(e12,e12)
& e11 != op1(e11,e11)
& e10 != op1(e10,e10) ),
inference(definition_folding,[],[f10,f24,f23,f22,f21]) ).
fof(f26,plain,
( ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e23,e20)
| e20 != op2(e23,e22) )
& ( e21 = op2(e23,e20)
| e20 != op2(e23,e21) )
& ( e20 = op2(e23,e20)
| e20 != op2(e23,e20) )
& ( e23 = op2(e22,e20)
| e20 != op2(e22,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e22,e20)
| e20 != op2(e22,e21) )
& ( e20 = op2(e22,e20)
| e20 != op2(e22,e20) )
& ( e23 = op2(e21,e20)
| e20 != op2(e21,e23) )
& ( e22 = op2(e21,e20)
| e20 != op2(e21,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e21,e20)
| e20 != op2(e21,e20) )
& ( op2(e20,e20) = e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) = e21
| e20 != op2(e20,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f27,plain,
( ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e23,e21)
| e21 != op2(e23,e22) )
& ( e21 = op2(e23,e21)
| e21 != op2(e23,e21) )
& ( e20 = op2(e23,e21)
| e21 != op2(e23,e20) )
& ( e23 = op2(e22,e21)
| e21 != op2(e22,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e22,e21)
| e21 != op2(e22,e21) )
& ( e20 = op2(e22,e21)
| e21 != op2(e22,e20) )
& ( e23 = op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e23 = op2(e20,e21)
| e21 != op2(e20,e23) )
& ( e22 = op2(e20,e21)
| e21 != op2(e20,e22) )
& ( e21 = op2(e20,e21)
| e21 != op2(e20,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f28,plain,
( ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e23,e22)
| e22 != op2(e23,e22) )
& ( e21 = op2(e23,e22)
| e22 != op2(e23,e21) )
& ( e20 = op2(e23,e22)
| e22 != op2(e23,e20) )
& ( e23 = op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e23 = op2(e21,e22)
| e22 != op2(e21,e23) )
& ( e22 = op2(e21,e22)
| e22 != op2(e21,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e21,e22)
| e22 != op2(e21,e20) )
& ( e23 = op2(e20,e22)
| e22 != op2(e20,e23) )
& ( e22 = op2(e20,e22)
| e22 != op2(e20,e22) )
& ( e21 = op2(e20,e22)
| e22 != op2(e20,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f29,plain,
( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e23 != op2(e22,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e22,e23)
| e23 != op2(e22,e21) )
& ( e20 = op2(e22,e23)
| e23 != op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e23 != op2(e21,e23) )
& ( e22 = op2(e21,e23)
| e23 != op2(e21,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e21,e23)
| e23 != op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e23 != op2(e20,e23) )
& ( e22 = op2(e20,e23)
| e23 != op2(e20,e22) )
& ( e21 = op2(e20,e23)
| e23 != op2(e20,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 ) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f30,plain,
( ( sP7
| sP6
| sP5
| sP4 )
& e23 != op2(e23,e23)
& e22 != op2(e22,e22)
& e21 != op2(e21,e21)
& e20 != op2(e20,e20) ),
inference(definition_folding,[],[f11,f29,f28,f27,f26]) ).
fof(f31,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f32,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f33,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f34,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f35,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f36,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f37,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f38,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f39,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f40,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f41,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f42,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f43,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP19
| sP18
| sP17
| 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) )
| sP16
| sP15
| sP14
| 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) )
| sP13
| sP12
| sP11
| 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) )
| sP10
| sP9
| sP8
| 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,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31]) ).
fof(f44,plain,
( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 = op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e13 != op1(e12,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e12,e13)
| e13 != op1(e12,e11) )
& ( e10 = op1(e12,e13)
| e13 != op1(e12,e10) )
& ( e13 = op1(e11,e13)
| e13 != op1(e11,e13) )
& ( e12 = op1(e11,e13)
| e13 != op1(e11,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e11,e13)
| e13 != op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e13 != op1(e10,e13) )
& ( e12 = op1(e10,e13)
| e13 != op1(e10,e12) )
& ( e11 = op1(e10,e13)
| e13 != op1(e10,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f45,plain,
( ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e13,e12)
| e12 != op1(e13,e12) )
& ( e11 = op1(e13,e12)
| e12 != op1(e13,e11) )
& ( e10 = op1(e13,e12)
| e12 != op1(e13,e10) )
& ( e13 = op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e13 = op1(e11,e12)
| e12 != op1(e11,e13) )
& ( e12 = op1(e11,e12)
| e12 != op1(e11,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e11,e12)
| e12 != op1(e11,e10) )
& ( e13 = op1(e10,e12)
| e12 != op1(e10,e13) )
& ( e12 = op1(e10,e12)
| e12 != op1(e10,e12) )
& ( e11 = op1(e10,e12)
| e12 != op1(e10,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f46,plain,
( ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e13,e11)
| e11 != op1(e13,e12) )
& ( e11 = op1(e13,e11)
| e11 != op1(e13,e11) )
& ( e10 = op1(e13,e11)
| e11 != op1(e13,e10) )
& ( e13 = op1(e12,e11)
| e11 != op1(e12,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e12,e11)
| e11 != op1(e12,e11) )
& ( e10 = op1(e12,e11)
| e11 != op1(e12,e10) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e13 = op1(e10,e11)
| e11 != op1(e10,e13) )
& ( e12 = op1(e10,e11)
| e11 != op1(e10,e12) )
& ( e11 = op1(e10,e11)
| e11 != op1(e10,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f47,plain,
( ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e13,e10)
| e10 != op1(e13,e12) )
& ( e11 = op1(e13,e10)
| e10 != op1(e13,e11) )
& ( e10 = op1(e13,e10)
| e10 != op1(e13,e10) )
& ( e13 = op1(e12,e10)
| e10 != op1(e12,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e12,e10)
| e10 != op1(e12,e11) )
& ( e10 = op1(e12,e10)
| e10 != op1(e12,e10) )
& ( e13 = op1(e11,e10)
| e10 != op1(e11,e13) )
& ( e12 = op1(e11,e10)
| e10 != op1(e11,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e11,e10)
| e10 != op1(e11,e10) )
& ( op1(e10,e10) = e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f48,plain,
( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e23 != op2(e22,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e22,e23)
| e23 != op2(e22,e21) )
& ( e20 = op2(e22,e23)
| e23 != op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e23 != op2(e21,e23) )
& ( e22 = op2(e21,e23)
| e23 != op2(e21,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e21,e23)
| e23 != op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e23 != op2(e20,e23) )
& ( e22 = op2(e20,e23)
| e23 != op2(e20,e22) )
& ( e21 = op2(e20,e23)
| e23 != op2(e20,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f29]) ).
fof(f49,plain,
( ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e23,e22)
| e22 != op2(e23,e22) )
& ( e21 = op2(e23,e22)
| e22 != op2(e23,e21) )
& ( e20 = op2(e23,e22)
| e22 != op2(e23,e20) )
& ( e23 = op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e23 = op2(e21,e22)
| e22 != op2(e21,e23) )
& ( e22 = op2(e21,e22)
| e22 != op2(e21,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e21,e22)
| e22 != op2(e21,e20) )
& ( e23 = op2(e20,e22)
| e22 != op2(e20,e23) )
& ( e22 = op2(e20,e22)
| e22 != op2(e20,e22) )
& ( e21 = op2(e20,e22)
| e22 != op2(e20,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f28]) ).
fof(f50,plain,
( ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e23,e21)
| e21 != op2(e23,e22) )
& ( e21 = op2(e23,e21)
| e21 != op2(e23,e21) )
& ( e20 = op2(e23,e21)
| e21 != op2(e23,e20) )
& ( e23 = op2(e22,e21)
| e21 != op2(e22,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e22,e21)
| e21 != op2(e22,e21) )
& ( e20 = op2(e22,e21)
| e21 != op2(e22,e20) )
& ( e23 = op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e23 = op2(e20,e21)
| e21 != op2(e20,e23) )
& ( e22 = op2(e20,e21)
| e21 != op2(e20,e22) )
& ( e21 = op2(e20,e21)
| e21 != op2(e20,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f27]) ).
fof(f51,plain,
( ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e23,e20)
| e20 != op2(e23,e22) )
& ( e21 = op2(e23,e20)
| e20 != op2(e23,e21) )
& ( e20 = op2(e23,e20)
| e20 != op2(e23,e20) )
& ( e23 = op2(e22,e20)
| e20 != op2(e22,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e22,e20)
| e20 != op2(e22,e21) )
& ( e20 = op2(e22,e20)
| e20 != op2(e22,e20) )
& ( e23 = op2(e21,e20)
| e20 != op2(e21,e23) )
& ( e22 = op2(e21,e20)
| e20 != op2(e21,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e21,e20)
| e20 != op2(e21,e20) )
& ( op2(e20,e20) = e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) = e21
| e20 != op2(e20,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f26]) ).
fof(f61,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP10 ),
inference(nnf_transformation,[],[f33]) ).
fof(f62,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP9 ),
inference(nnf_transformation,[],[f32]) ).
fof(f63,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP8 ),
inference(nnf_transformation,[],[f31]) ).
fof(f67,plain,
( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f68,plain,
( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f70,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f74,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f77,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f79,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f84,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f91,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f100,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f104,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f107,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f110,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f111,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f113,plain,
( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f137,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f138,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f143,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f144,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f145,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f148,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f149,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f150,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f154,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f158,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f159,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f165,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f175,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f177,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f179,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f186,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f188,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f191,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f193,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f196,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f197,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f199,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f202,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f204,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f205,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f206,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f208,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f209,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f210,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f211,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f212,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f213,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f214,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f215,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f217,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f218,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f224,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f225,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f232,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f234,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f238,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f239,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f242,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f244,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f245,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f246,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f251,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f252,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f257,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f258,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f259,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f260,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f261,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f262,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f263,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f264,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f265,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f266,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f267,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f298,plain,
( e12 = op1(e13,e13)
| e13 != op1(e13,e12)
| ~ sP3 ),
inference(cnf_transformation,[],[f44]) ).
fof(f312,plain,
( e10 = op1(e13,e12)
| e12 != op1(e13,e10)
| ~ sP2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f324,plain,
( e10 = op1(e12,e11)
| e11 != op1(e12,e10)
| ~ sP1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f345,plain,
( e11 = op1(e13,e10)
| e10 != op1(e13,e11)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f347,plain,
( e13 = op1(e13,e10)
| e10 != op1(e13,e13)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f349,plain,
e11 != op1(e11,e11),
inference(cnf_transformation,[],[f25]) ).
fof(f350,plain,
e12 != op1(e12,e12),
inference(cnf_transformation,[],[f25]) ).
fof(f351,plain,
e13 != op1(e13,e13),
inference(cnf_transformation,[],[f25]) ).
fof(f352,plain,
( sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f362,plain,
( e21 = op2(e22,e23)
| e23 != op2(e22,e21)
| ~ sP7 ),
inference(cnf_transformation,[],[f48]) ).
fof(f367,plain,
( e22 = op2(e23,e23)
| e23 != op2(e23,e22)
| ~ sP7 ),
inference(cnf_transformation,[],[f48]) ).
fof(f378,plain,
( e21 = op2(e22,e22)
| e22 != op2(e22,e21)
| ~ sP6 ),
inference(cnf_transformation,[],[f49]) ).
fof(f381,plain,
( e20 = op2(e23,e22)
| e22 != op2(e23,e20)
| ~ sP6 ),
inference(cnf_transformation,[],[f49]) ).
fof(f393,plain,
( e20 = op2(e22,e21)
| e21 != op2(e22,e20)
| ~ sP5 ),
inference(cnf_transformation,[],[f50]) ).
fof(f402,plain,
( op2(e20,e20) = e21
| e20 != op2(e20,e21)
| ~ sP4 ),
inference(cnf_transformation,[],[f51]) ).
fof(f411,plain,
( e22 = op2(e22,e20)
| e20 != op2(e22,e22)
| ~ sP4 ),
inference(cnf_transformation,[],[f51]) ).
fof(f414,plain,
( e21 = op2(e23,e20)
| e20 != op2(e23,e21)
| ~ sP4 ),
inference(cnf_transformation,[],[f51]) ).
fof(f417,plain,
e20 != op2(e20,e20),
inference(cnf_transformation,[],[f30]) ).
fof(f418,plain,
e21 != op2(e21,e21),
inference(cnf_transformation,[],[f30]) ).
fof(f419,plain,
e22 != op2(e22,e22),
inference(cnf_transformation,[],[f30]) ).
fof(f420,plain,
e23 != op2(e23,e23),
inference(cnf_transformation,[],[f30]) ).
fof(f421,plain,
( sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f30]) ).
fof(f422,plain,
e11 = op1(op1(op1(e10,e10),e10),e10),
inference(cnf_transformation,[],[f12]) ).
fof(f423,plain,
e12 = op1(op1(e10,e10),e10),
inference(cnf_transformation,[],[f12]) ).
fof(f424,plain,
op1(e10,e10) = e13,
inference(cnf_transformation,[],[f12]) ).
fof(f425,plain,
e21 = op2(op2(op2(e20,e20),e20),e20),
inference(cnf_transformation,[],[f13]) ).
fof(f426,plain,
e22 = op2(op2(e20,e20),e20),
inference(cnf_transformation,[],[f13]) ).
fof(f427,plain,
op2(e20,e20) = e23,
inference(cnf_transformation,[],[f13]) ).
fof(f428,plain,
e20 = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f429,plain,
op2(op2(op2(e20,e20),e20),e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f430,plain,
op2(op2(e20,e20),e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f431,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f432,plain,
e21 = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f434,plain,
op2(op2(e21,e21),e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f435,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f439,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f443,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f482,plain,
( e22 != h1(e12)
| ~ sP10 ),
inference(cnf_transformation,[],[f61]) ).
fof(f485,plain,
( e21 != h1(e11)
| ~ sP9 ),
inference(cnf_transformation,[],[f62]) ).
fof(f488,plain,
( e20 != h1(e10)
| ~ sP8 ),
inference(cnf_transformation,[],[f63]) ).
fof(f495,plain,
( e23 != h1(e13)
| sP10
| sP9
| sP8
| 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(cnf_transformation,[],[f43]) ).
cnf(c_49,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_51,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_54,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_58,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_60,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_61,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[],[f67]) ).
cnf(c_65,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_66,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_69,plain,
( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_72,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_76,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_83,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_85,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_87,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_92,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_103,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_107,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_108,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_111,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_113,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_114,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_118,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_122,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_123,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_124,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_127,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_128,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_129,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_134,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_135,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_144,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_146,plain,
op1(e13,e13) != op1(e13,e11),
inference(cnf_transformation,[],[f206]) ).
cnf(c_147,plain,
op1(e13,e12) != op1(e13,e11),
inference(cnf_transformation,[],[f205]) ).
cnf(c_148,plain,
op1(e13,e13) != op1(e13,e10),
inference(cnf_transformation,[],[f204]) ).
cnf(c_150,plain,
op1(e13,e11) != op1(e13,e10),
inference(cnf_transformation,[],[f202]) ).
cnf(c_153,plain,
op1(e12,e12) != op1(e12,e11),
inference(cnf_transformation,[],[f199]) ).
cnf(c_154,plain,
op1(e12,e13) != op1(e12,e10),
inference(cnf_transformation,[],[f198]) ).
cnf(c_155,plain,
op1(e12,e12) != op1(e12,e10),
inference(cnf_transformation,[],[f197]) ).
cnf(c_156,plain,
op1(e12,e11) != op1(e12,e10),
inference(cnf_transformation,[],[f196]) ).
cnf(c_159,plain,
op1(e11,e12) != op1(e11,e11),
inference(cnf_transformation,[],[f193]) ).
cnf(c_161,plain,
op1(e11,e12) != op1(e11,e10),
inference(cnf_transformation,[],[f191]) ).
cnf(c_162,plain,
op1(e11,e11) != op1(e11,e10),
inference(cnf_transformation,[],[f190]) ).
cnf(c_164,plain,
op1(e10,e13) != op1(e10,e11),
inference(cnf_transformation,[],[f188]) ).
cnf(c_166,plain,
op1(e10,e13) != op1(e10,e10),
inference(cnf_transformation,[],[f186]) ).
cnf(c_172,plain,
op1(e13,e13) != op1(e10,e13),
inference(cnf_transformation,[],[f180]) ).
cnf(c_173,plain,
op1(e12,e13) != op1(e10,e13),
inference(cnf_transformation,[],[f179]) ).
cnf(c_175,plain,
op1(e13,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f177]) ).
cnf(c_177,plain,
op1(e12,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f175]) ).
cnf(c_181,plain,
op1(e13,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f171]) ).
cnf(c_187,plain,
op1(e13,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f165]) ).
cnf(c_188,plain,
op1(e13,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f164]) ).
cnf(c_189,plain,
op1(e12,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f163]) ).
cnf(c_190,plain,
op1(e13,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f162]) ).
cnf(c_192,plain,
op1(e11,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f160]) ).
cnf(c_196,plain,
op2(e23,e23) != op2(e23,e20),
inference(cnf_transformation,[],[f252]) ).
cnf(c_197,plain,
op2(e23,e22) != op2(e23,e20),
inference(cnf_transformation,[],[f251]) ).
cnf(c_202,plain,
op2(e22,e23) != op2(e22,e20),
inference(cnf_transformation,[],[f246]) ).
cnf(c_203,plain,
op2(e22,e22) != op2(e22,e20),
inference(cnf_transformation,[],[f245]) ).
cnf(c_204,plain,
op2(e22,e21) != op2(e22,e20),
inference(cnf_transformation,[],[f244]) ).
cnf(c_206,plain,
op2(e21,e23) != op2(e21,e21),
inference(cnf_transformation,[],[f242]) ).
cnf(c_209,plain,
op2(e21,e22) != op2(e21,e20),
inference(cnf_transformation,[],[f239]) ).
cnf(c_210,plain,
op2(e21,e21) != op2(e21,e20),
inference(cnf_transformation,[],[f238]) ).
cnf(c_214,plain,
op2(e20,e23) != op2(e20,e20),
inference(cnf_transformation,[],[f234]) ).
cnf(c_216,plain,
op2(e20,e21) != op2(e20,e20),
inference(cnf_transformation,[],[f232]) ).
cnf(c_223,plain,
op2(e23,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f225]) ).
cnf(c_224,plain,
op2(e23,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f224]) ).
cnf(c_230,plain,
op2(e23,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f218]) ).
cnf(c_231,plain,
op2(e22,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f217]) ).
cnf(c_233,plain,
op2(e22,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f215]) ).
cnf(c_234,plain,
op2(e21,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f214]) ).
cnf(c_235,plain,
op2(e23,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f213]) ).
cnf(c_236,plain,
op2(e23,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f212]) ).
cnf(c_237,plain,
op2(e22,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f211]) ).
cnf(c_238,plain,
op2(e23,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f210]) ).
cnf(c_239,plain,
op2(e22,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f209]) ).
cnf(c_240,plain,
op2(e21,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f208]) ).
cnf(c_241,plain,
e13 != e12,
inference(cnf_transformation,[],[f261]) ).
cnf(c_242,plain,
e13 != e11,
inference(cnf_transformation,[],[f260]) ).
cnf(c_243,plain,
e12 != e11,
inference(cnf_transformation,[],[f259]) ).
cnf(c_244,plain,
e13 != e10,
inference(cnf_transformation,[],[f258]) ).
cnf(c_245,plain,
e12 != e10,
inference(cnf_transformation,[],[f257]) ).
cnf(c_246,plain,
e11 != e10,
inference(cnf_transformation,[],[f256]) ).
cnf(c_247,plain,
e23 != e22,
inference(cnf_transformation,[],[f267]) ).
cnf(c_248,plain,
e23 != e21,
inference(cnf_transformation,[],[f266]) ).
cnf(c_249,plain,
e22 != e21,
inference(cnf_transformation,[],[f265]) ).
cnf(c_250,plain,
e23 != e20,
inference(cnf_transformation,[],[f264]) ).
cnf(c_251,plain,
e22 != e20,
inference(cnf_transformation,[],[f263]) ).
cnf(c_252,plain,
e21 != e20,
inference(cnf_transformation,[],[f262]) ).
cnf(c_269,plain,
( op1(e13,e12) != e13
| ~ sP3
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[],[f298]) ).
cnf(c_283,plain,
( op1(e13,e10) != e12
| ~ sP2
| op1(e13,e12) = e10 ),
inference(cnf_transformation,[],[f312]) ).
cnf(c_298,plain,
( op1(e12,e10) != e11
| ~ sP1
| op1(e12,e11) = e10 ),
inference(cnf_transformation,[],[f324]) ).
cnf(c_305,plain,
( op1(e13,e13) != e10
| ~ sP0
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[],[f347]) ).
cnf(c_307,plain,
( op1(e13,e11) != e10
| ~ sP0
| op1(e13,e10) = e11 ),
inference(cnf_transformation,[],[f345]) ).
cnf(c_317,plain,
( sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_318,plain,
op1(e13,e13) != e13,
inference(cnf_transformation,[],[f351]) ).
cnf(c_319,plain,
op1(e12,e12) != e12,
inference(cnf_transformation,[],[f350]) ).
cnf(c_320,plain,
op1(e11,e11) != e11,
inference(cnf_transformation,[],[f349]) ).
cnf(c_322,plain,
( op2(e23,e22) != e23
| ~ sP7
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_326,plain,
( op2(e22,e21) != e23
| ~ sP7
| op2(e22,e23) = e21 ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_336,plain,
( op2(e23,e20) != e22
| ~ sP6
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_338,plain,
( op2(e22,e21) != e22
| ~ sP6
| op2(e22,e22) = e21 ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_351,plain,
( op2(e22,e20) != e21
| ~ sP5
| op2(e22,e21) = e20 ),
inference(cnf_transformation,[],[f393]) ).
cnf(c_360,plain,
( op2(e23,e21) != e20
| ~ sP4
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[],[f414]) ).
cnf(c_362,plain,
( op2(e22,e22) != e20
| ~ sP4
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f411]) ).
cnf(c_369,plain,
( op2(e20,e21) != e20
| ~ sP4
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_370,plain,
( sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f421]) ).
cnf(c_371,plain,
op2(e23,e23) != e23,
inference(cnf_transformation,[],[f420]) ).
cnf(c_372,plain,
op2(e22,e22) != e22,
inference(cnf_transformation,[],[f419]) ).
cnf(c_373,plain,
op2(e21,e21) != e21,
inference(cnf_transformation,[],[f418]) ).
cnf(c_374,plain,
op2(e20,e20) != e20,
inference(cnf_transformation,[],[f417]) ).
cnf(c_375,plain,
op1(e10,e10) = e13,
inference(cnf_transformation,[],[f424]) ).
cnf(c_376,plain,
op1(op1(e10,e10),e10) = e12,
inference(cnf_transformation,[],[f423]) ).
cnf(c_377,plain,
op1(op1(op1(e10,e10),e10),e10) = e11,
inference(cnf_transformation,[],[f422]) ).
cnf(c_378,plain,
op2(e20,e20) = e23,
inference(cnf_transformation,[],[f427]) ).
cnf(c_379,plain,
op2(op2(e20,e20),e20) = e22,
inference(cnf_transformation,[],[f426]) ).
cnf(c_380,plain,
op2(op2(op2(e20,e20),e20),e20) = e21,
inference(cnf_transformation,[],[f425]) ).
cnf(c_381,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f431]) ).
cnf(c_382,plain,
op2(op2(e20,e20),e20) = h1(e12),
inference(cnf_transformation,[],[f430]) ).
cnf(c_383,plain,
op2(op2(op2(e20,e20),e20),e20) = h1(e11),
inference(cnf_transformation,[],[f429]) ).
cnf(c_384,plain,
h1(e10) = e20,
inference(cnf_transformation,[],[f428]) ).
cnf(c_385,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f435]) ).
cnf(c_386,plain,
op2(op2(e21,e21),e21) = h2(e12),
inference(cnf_transformation,[],[f434]) ).
cnf(c_388,plain,
h2(e10) = e21,
inference(cnf_transformation,[],[f432]) ).
cnf(c_389,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f439]) ).
cnf(c_393,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f443]) ).
cnf(c_434,plain,
( h1(e12) != e22
| ~ sP10 ),
inference(cnf_transformation,[],[f482]) ).
cnf(c_439,plain,
( h1(e11) != e21
| ~ sP9 ),
inference(cnf_transformation,[],[f485]) ).
cnf(c_444,plain,
( h1(e10) != e20
| ~ sP8 ),
inference(cnf_transformation,[],[f488]) ).
cnf(c_457,negated_conjecture,
( op2(h1(e13),h1(e13)) != h1(op1(e13,e13))
| op2(h1(e13),h1(e12)) != h1(op1(e13,e12))
| op2(h1(e13),h1(e11)) != h1(op1(e13,e11))
| op2(h1(e13),h1(e10)) != h1(op1(e13,e10))
| op2(h1(e12),h1(e13)) != h1(op1(e12,e13))
| op2(h1(e12),h1(e12)) != h1(op1(e12,e12))
| op2(h1(e12),h1(e11)) != h1(op1(e12,e11))
| op2(h1(e12),h1(e10)) != h1(op1(e12,e10))
| op2(h1(e11),h1(e13)) != h1(op1(e11,e13))
| op2(h1(e11),h1(e12)) != h1(op1(e11,e12))
| op2(h1(e11),h1(e11)) != h1(op1(e11,e11))
| op2(h1(e11),h1(e10)) != h1(op1(e11,e10))
| op2(h1(e10),h1(e13)) != h1(op1(e10,e13))
| op2(h1(e10),h1(e12)) != h1(op1(e10,e12))
| op2(h1(e10),h1(e11)) != h1(op1(e10,e11))
| op2(h1(e10),h1(e10)) != h1(op1(e10,e10))
| h1(e13) != e23
| sP10
| sP9
| sP8 ),
inference(cnf_transformation,[],[f495]) ).
cnf(c_493,plain,
( op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(global_subsumption_just,[status(thm)],[c_144,c_374,c_144]) ).
cnf(c_494,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20 ),
inference(renaming,[status(thm)],[c_493]) ).
cnf(c_501,plain,
( op2(e21,e22) = e21
| op2(e21,e23) = e21
| op2(e21,e20) = e21 ),
inference(global_subsumption_just,[status(thm)],[c_134,c_373,c_134]) ).
cnf(c_502,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e20) = e21 ),
inference(renaming,[status(thm)],[c_501]) ).
cnf(c_505,plain,
( op2(e22,e23) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(global_subsumption_just,[status(thm)],[c_124,c_372,c_124]) ).
cnf(c_507,plain,
( op2(e23,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(global_subsumption_just,[status(thm)],[c_123,c_372,c_123]) ).
cnf(c_509,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(global_subsumption_just,[status(thm)],[c_114,c_371,c_114]) ).
cnf(c_511,plain,
( op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(global_subsumption_just,[status(thm)],[c_113,c_371,c_113]) ).
cnf(c_515,plain,
( op2(e21,e21) = e22
| op2(e21,e21) = e23
| op2(e21,e21) = e20 ),
inference(global_subsumption_just,[status(thm)],[c_107,c_373,c_107]) ).
cnf(c_516,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e20 ),
inference(renaming,[status(thm)],[c_515]) ).
cnf(c_531,plain,
( op1(e12,e11) = e11
| op1(e13,e11) = e11
| op1(e10,e11) = e11 ),
inference(global_subsumption_just,[status(thm)],[c_85,c_320,c_85]) ).
cnf(c_532,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e10,e11) = e11 ),
inference(renaming,[status(thm)],[c_531]) ).
cnf(c_533,plain,
( op1(e12,e13) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(global_subsumption_just,[status(thm)],[c_76,c_319,c_76]) ).
cnf(c_537,plain,
( op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(global_subsumption_just,[status(thm)],[c_66,c_318,c_66]) ).
cnf(c_539,plain,
( op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(global_subsumption_just,[status(thm)],[c_65,c_318,c_65]) ).
cnf(c_545,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(global_subsumption_just,[status(thm)],[c_54,c_319,c_54]) ).
cnf(c_547,plain,
( op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(global_subsumption_just,[status(thm)],[c_49,c_318,c_49]) ).
cnf(c_555,plain,
( sP9
| sP10
| h1(e13) != e23
| op2(h1(e10),h1(e10)) != h1(op1(e10,e10))
| op2(h1(e10),h1(e11)) != h1(op1(e10,e11))
| op2(h1(e10),h1(e12)) != h1(op1(e10,e12))
| op2(h1(e10),h1(e13)) != h1(op1(e10,e13))
| op2(h1(e11),h1(e10)) != h1(op1(e11,e10))
| op2(h1(e11),h1(e11)) != h1(op1(e11,e11))
| op2(h1(e11),h1(e12)) != h1(op1(e11,e12))
| op2(h1(e11),h1(e13)) != h1(op1(e11,e13))
| op2(h1(e12),h1(e10)) != h1(op1(e12,e10))
| op2(h1(e12),h1(e11)) != h1(op1(e12,e11))
| op2(h1(e12),h1(e12)) != h1(op1(e12,e12))
| op2(h1(e12),h1(e13)) != h1(op1(e12,e13))
| op2(h1(e13),h1(e10)) != h1(op1(e13,e10))
| op2(h1(e13),h1(e11)) != h1(op1(e13,e11))
| op2(h1(e13),h1(e12)) != h1(op1(e13,e12))
| op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) ),
inference(global_subsumption_just,[status(thm)],[c_457,c_384,c_444,c_457]) ).
cnf(c_556,negated_conjecture,
( op2(h1(e13),h1(e13)) != h1(op1(e13,e13))
| op2(h1(e13),h1(e12)) != h1(op1(e13,e12))
| op2(h1(e13),h1(e11)) != h1(op1(e13,e11))
| op2(h1(e13),h1(e10)) != h1(op1(e13,e10))
| op2(h1(e12),h1(e13)) != h1(op1(e12,e13))
| op2(h1(e12),h1(e12)) != h1(op1(e12,e12))
| op2(h1(e12),h1(e11)) != h1(op1(e12,e11))
| op2(h1(e12),h1(e10)) != h1(op1(e12,e10))
| op2(h1(e11),h1(e13)) != h1(op1(e11,e13))
| op2(h1(e11),h1(e12)) != h1(op1(e11,e12))
| op2(h1(e11),h1(e11)) != h1(op1(e11,e11))
| op2(h1(e11),h1(e10)) != h1(op1(e11,e10))
| op2(h1(e10),h1(e13)) != h1(op1(e10,e13))
| op2(h1(e10),h1(e12)) != h1(op1(e10,e12))
| op2(h1(e10),h1(e11)) != h1(op1(e10,e11))
| op2(h1(e10),h1(e10)) != h1(op1(e10,e10))
| h1(e13) != e23
| sP10
| sP9 ),
inference(renaming,[status(thm)],[c_555]) ).
cnf(c_6383,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_556,c_547,c_545,c_539,c_537,c_533,c_532,c_516,c_511,c_509,c_507,c_505,c_502,c_494,c_439,c_434,c_393,c_389,c_388,c_386,c_385,c_384,c_383,c_382,c_381,c_380,c_379,c_378,c_377,c_376,c_375,c_370,c_369,c_362,c_360,c_351,c_338,c_336,c_326,c_322,c_317,c_307,c_305,c_298,c_283,c_269,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_231,c_230,c_224,c_223,c_216,c_214,c_210,c_209,c_206,c_204,c_203,c_202,c_197,c_196,c_192,c_190,c_189,c_188,c_187,c_181,c_177,c_175,c_173,c_172,c_166,c_164,c_162,c_161,c_159,c_156,c_155,c_154,c_153,c_150,c_148,c_147,c_146,c_135,c_129,c_128,c_127,c_122,c_118,c_111,c_108,c_103,c_92,c_87,c_83,c_72,c_69,c_61,c_60,c_58,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG124+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 22:45:40 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 0.49/1.18 % SZS status Started for theBenchmark.p
% 0.49/1.18 % SZS status Theorem for theBenchmark.p
% 0.49/1.18
% 0.49/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.18
% 0.49/1.18 ------ iProver source info
% 0.49/1.18
% 0.49/1.18 git: date: 2024-05-02 19:28:25 +0000
% 0.49/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.49/1.18 git: non_committed_changes: false
% 0.49/1.18
% 0.49/1.18 ------ Parsing...
% 0.49/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.49/1.18
% 0.49/1.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 0.49/1.18
% 0.49/1.18 ------ Preprocessing...
% 0.49/1.18
% 0.49/1.18 % SZS status Theorem for theBenchmark.p
% 0.49/1.18
% 0.49/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.18
% 0.49/1.19
%------------------------------------------------------------------------------