TSTP Solution File: ALG115+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG115+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 02:03:47 EDT 2024
% Result : Theorem 4.04s 1.14s
% Output : CNFRefutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 161
% Syntax : Number of formulae : 453 ( 169 unt; 0 def)
% Number of atoms : 3226 (2886 equ)
% Maximal formula atoms : 288 ( 7 avg)
% Number of connectives : 3648 ( 875 ~;1462 |;1311 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e13 = op1(e13,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e13 = op1(e13,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e13 = op1(e13,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 = op1(e12,e13)
& e12 = op1(e13,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e12 = op1(e12,e10)
& e12 = op1(e10,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e11 = op1(e11,e12)
& e11 = op1(e12,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e10 = op1(e10,e13)
& e10 = op1(e13,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e10 = op1(e10,e12)
& e10 = op1(e12,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e13 = op1(e13,e12)
& e13 = op1(e12,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e13 = op1(e13,e11)
& e13 = op1(e11,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e13 = op1(e13,e10)
& e13 = op1(e10,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e12 = op1(e12,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e12 = op1(e12,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e11 = op1(e11,e12)
& e11 = op1(e12,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e10 = op1(e10,e13)
& e10 = op1(e13,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e10 = op1(e10,e12)
& e10 = op1(e12,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ( e13 = op1(e13,e12)
& e13 = op1(e12,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ( e13 = op1(e13,e11)
& e13 = op1(e11,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ( e13 = op1(e13,e10)
& e13 = op1(e10,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ( e12 = op1(e12,e13)
& e12 = op1(e13,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ( e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ( e12 = op1(e12,e10)
& e12 = op1(e10,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ( e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e11 = op1(e11,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e10 = op1(e10,e13)
& e10 = op1(e13,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e10 = op1(e10,e12)
& e10 = op1(e12,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ( e13 = op1(e13,e12)
& e13 = op1(e12,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ( e13 = op1(e13,e11)
& e13 = op1(e11,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ( e13 = op1(e13,e10)
& e13 = op1(e10,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ( e12 = op1(e12,e13)
& e12 = op1(e13,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e12 = op1(e12,e10)
& e12 = op1(e10,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e11 = op1(e11,e12)
& e11 = op1(e12,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e10 = op1(e10,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e10 = op1(e10,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) ) )
& ( ( e13 != op1(e13,op1(e13,e13))
& e12 != op1(e13,op1(e13,e12))
& e11 != op1(e13,op1(e13,e11))
& e10 != op1(e13,op1(e13,e10)) )
| ( e13 != op1(e12,op1(e12,e13))
& e12 != op1(e12,op1(e12,e12))
& e11 != op1(e12,op1(e12,e11))
& e10 != op1(e12,op1(e12,e10)) )
| ( e13 != op1(e11,op1(e11,e13))
& e12 != op1(e11,op1(e11,e12))
& e11 != op1(e11,op1(e11,e11))
& e10 != op1(e11,op1(e11,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(e12,e12)
| e13 = op1(e11,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e12)
| e12 = op1(e11,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e12)
| e11 = op1(e11,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e12)
| e10 = op1(e11,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e23 = op2(e23,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e23 = op2(e23,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e23 = op2(e23,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 = op2(e22,e23)
& e22 = op2(e23,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e22 = op2(e22,e21)
& e22 = op2(e21,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e21 = op2(e21,e23)
& e21 = op2(e23,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e21 = op2(e21,e22)
& e21 = op2(e22,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e20 = op2(e20,e23)
& e20 = op2(e23,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e20 = op2(e20,e22)
& e20 = op2(e22,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e23 = op2(e23,e22)
& e23 = op2(e22,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e23 = op2(e23,e21)
& e23 = op2(e21,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e23 = op2(e23,e20)
& e23 = op2(e20,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e22 = op2(e22,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e22 = op2(e22,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e21 = op2(e21,e23)
& e21 = op2(e23,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e21 = op2(e21,e22)
& e21 = op2(e22,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e20 = op2(e20,e23)
& e20 = op2(e23,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e20 = op2(e20,e22)
& e20 = op2(e22,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e23 = op2(e23,e22)
& e23 = op2(e22,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e23 = op2(e23,e21)
& e23 = op2(e21,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e23 = op2(e23,e20)
& e23 = op2(e20,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e22 = op2(e22,e23)
& e22 = op2(e23,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e22 = op2(e22,e21)
& e22 = op2(e21,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e21 = op2(e21,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e21 = op2(e21,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e20 = op2(e20,e23)
& e20 = op2(e23,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e20 = op2(e20,e22)
& e20 = op2(e22,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e23 = op2(e23,e22)
& e23 = op2(e22,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e23 = op2(e23,e21)
& e23 = op2(e21,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e23 = op2(e23,e20)
& e23 = op2(e20,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e22 = op2(e22,e23)
& e22 = op2(e23,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ( e22 = op2(e22,e21)
& e22 = op2(e21,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ( e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ( e21 = op2(e21,e23)
& e21 = op2(e23,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ( e21 = op2(e21,e22)
& e21 = op2(e22,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ( e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ( e20 = op2(e20,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e20 = op2(e20,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) ) )
& ( ( e23 != op2(e23,op2(e23,e23))
& e22 != op2(e23,op2(e23,e22))
& e21 != op2(e23,op2(e23,e21))
& e20 != op2(e23,op2(e23,e20)) )
| ( e23 != op2(e22,op2(e22,e23))
& e22 != op2(e22,op2(e22,e22))
& e21 != op2(e22,op2(e22,e21))
& e20 != op2(e22,op2(e22,e20)) )
| ( e23 != op2(e21,op2(e21,e23))
& e22 != op2(e21,op2(e21,e22))
& e21 != op2(e21,op2(e21,e21))
& e20 != op2(e21,op2(e21,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(e22,e22)
| e23 = op2(e21,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e22)
| e22 = op2(e21,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e22)
| e21 = op2(e21,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e22)
| e20 = op2(e21,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e12 = op1(op1(e13,e13),e13)
& e11 = op1(e13,e13)
& e10 = op1(op1(e13,e13),op1(op1(e13,e13),e13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e22 = op2(op2(e23,e23),e23)
& e21 = op2(e23,e23)
& e20 = op2(op2(e23,e23),op2(op2(e23,e23),e23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( op2(op2(e20,e20),e20) = h1(e12)
& op2(e20,e20) = h1(e11)
& h1(e10) = op2(op2(e20,e20),op2(op2(e20,e20),e20))
& e20 = h1(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( op2(op2(e21,e21),e21) = h2(e12)
& op2(e21,e21) = h2(e11)
& h2(e10) = op2(op2(e21,e21),op2(op2(e21,e21),e21))
& e21 = h2(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( op2(op2(e22,e22),e22) = h3(e12)
& op2(e22,e22) = h3(e11)
& h3(e10) = op2(op2(e22,e22),op2(op2(e22,e22),e22))
& e22 = h3(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( op2(op2(e23,e23),e23) = h4(e12)
& op2(e23,e23) = h4(e11)
& op2(op2(e23,e23),op2(op2(e23,e23),e23)) = h4(e10)
& e23 = h4(e13) ),
file('/export/starexec/sandbox2/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/sandbox2/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(e10,op1(e10,e13))
& e12 != op1(e10,op1(e10,e12))
& e11 != op1(e10,op1(e10,e11))
& e10 != op1(e10,op1(e10,e10)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e13 != op1(e11,op1(e11,e13))
& e12 != op1(e11,op1(e11,e12))
& e11 != op1(e11,op1(e11,e11))
& e10 != op1(e11,op1(e11,e10)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e13 != op1(e12,op1(e12,e13))
& e12 != op1(e12,op1(e12,e12))
& e11 != op1(e12,op1(e12,e11))
& e10 != op1(e12,op1(e12,e10)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e10 = op1(e10,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e10 = op1(e10,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e11 = op1(e11,e12)
& e11 = op1(e12,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e12 = op1(e12,e10)
& e12 = op1(e10,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f33,plain,
( ( e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f34,plain,
( ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f35,plain,
( ( e12 = op1(e12,e13)
& e12 = op1(e13,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f36,plain,
( ( e13 = op1(e13,e10)
& e13 = op1(e10,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f37,plain,
( ( e13 = op1(e13,e11)
& e13 = op1(e11,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f38,plain,
( ( e13 = op1(e13,e12)
& e13 = op1(e12,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f39,plain,
( ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f40,plain,
( ( e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f41,plain,
( ( e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f42,plain,
( ( e10 = op1(e10,e12)
& e10 = op1(e12,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f43,plain,
( ( e10 = op1(e10,e13)
& e10 = op1(e13,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f44,plain,
( ( e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f45,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f46,plain,
( ( e11 = op1(e11,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f47,plain,
( ( e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f48,plain,
( ( e12 = op1(e12,e10)
& e12 = op1(e10,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f49,plain,
( ( e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f50,plain,
( ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f51,plain,
( ( e12 = op1(e12,e13)
& e12 = op1(e13,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f52,plain,
( ( e13 = op1(e13,e10)
& e13 = op1(e10,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f53,plain,
( ( e13 = op1(e13,e11)
& e13 = op1(e11,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f54,plain,
( ( e13 = op1(e13,e12)
& e13 = op1(e12,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f55,plain,
( ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f56,plain,
( ( e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f57,plain,
( ( e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f58,plain,
( ( e10 = op1(e10,e12)
& e10 = op1(e12,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f59,plain,
( ( e10 = op1(e10,e13)
& e10 = op1(e13,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f60,plain,
( ( e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f61,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f62,plain,
( ( e11 = op1(e11,e12)
& e11 = op1(e12,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f63,plain,
( ( e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f64,plain,
( ( e12 = op1(e12,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f65,plain,
( ( e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f66,plain,
( ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f67,plain,
( ( e12 = op1(e12,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f68,plain,
( ( e13 = op1(e13,e10)
& e13 = op1(e10,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f69,plain,
( ( e13 = op1(e13,e11)
& e13 = op1(e11,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f70,plain,
( ( e13 = op1(e13,e12)
& e13 = op1(e12,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f71,plain,
( ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f72,plain,
( ( e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f73,plain,
( ( e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f74,plain,
( ( e10 = op1(e10,e12)
& e10 = op1(e12,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f75,plain,
( ( e10 = op1(e10,e13)
& e10 = op1(e13,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f76,plain,
( ( e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f77,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f78,plain,
( ( e11 = op1(e11,e12)
& e11 = op1(e12,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f79,plain,
( ( e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f80,plain,
( ( e12 = op1(e12,e10)
& e12 = op1(e10,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f81,plain,
( ( e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f82,plain,
( ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f83,plain,
( ( e12 = op1(e12,e13)
& e12 = op1(e13,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f84,plain,
( ( e13 = op1(e13,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f85,plain,
( ( e13 = op1(e13,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f86,plain,
( ( e13 = op1(e13,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f87,plain,
( ( ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| sP65
| sP64
| sP63
| 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 )
& ( ( e13 != op1(e13,op1(e13,e13))
& e12 != op1(e13,op1(e13,e12))
& e11 != op1(e13,op1(e13,e11))
& e10 != op1(e13,op1(e13,e10)) )
| sP2
| sP1
| sP0 )
& ( e13 = op1(e13,e13)
| e13 = op1(e12,e12)
| e13 = op1(e11,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e12)
| e12 = op1(e11,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e12)
| e11 = op1(e11,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e12)
| e10 = op1(e11,e11)
| e10 = op1(e10,e10) ) ),
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,
( ( e23 != op2(e20,op2(e20,e23))
& e22 != op2(e20,op2(e20,e22))
& e21 != op2(e20,op2(e20,e21))
& e20 != op2(e20,op2(e20,e20)) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f89,plain,
( ( e23 != op2(e21,op2(e21,e23))
& e22 != op2(e21,op2(e21,e22))
& e21 != op2(e21,op2(e21,e21))
& e20 != op2(e21,op2(e21,e20)) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f90,plain,
( ( e23 != op2(e22,op2(e22,e23))
& e22 != op2(e22,op2(e22,e22))
& e21 != op2(e22,op2(e22,e21))
& e20 != op2(e22,op2(e22,e20)) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f91,plain,
( ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f92,plain,
( ( e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f93,plain,
( ( e20 = op2(e20,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f94,plain,
( ( e20 = op2(e20,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f95,plain,
( ( e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f96,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f97,plain,
( ( e21 = op2(e21,e22)
& e21 = op2(e22,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f98,plain,
( ( e21 = op2(e21,e23)
& e21 = op2(e23,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f99,plain,
( ( e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f100,plain,
( ( e22 = op2(e22,e21)
& e22 = op2(e21,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f101,plain,
( ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f102,plain,
( ( e22 = op2(e22,e23)
& e22 = op2(e23,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f103,plain,
( ( e23 = op2(e23,e20)
& e23 = op2(e20,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f104,plain,
( ( e23 = op2(e23,e21)
& e23 = op2(e21,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f105,plain,
( ( e23 = op2(e23,e22)
& e23 = op2(e22,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f106,plain,
( ( e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f107,plain,
( ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f108,plain,
( ( e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f109,plain,
( ( e20 = op2(e20,e22)
& e20 = op2(e22,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f110,plain,
( ( e20 = op2(e20,e23)
& e20 = op2(e23,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f111,plain,
( ( e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f112,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f113,plain,
( ( e21 = op2(e21,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f114,plain,
( ( e21 = op2(e21,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f115,plain,
( ( e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f116,plain,
( ( e22 = op2(e22,e21)
& e22 = op2(e21,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f117,plain,
( ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f118,plain,
( ( e22 = op2(e22,e23)
& e22 = op2(e23,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f119,plain,
( ( e23 = op2(e23,e20)
& e23 = op2(e20,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f120,plain,
( ( e23 = op2(e23,e21)
& e23 = op2(e21,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f121,plain,
( ( e23 = op2(e23,e22)
& e23 = op2(e22,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f122,plain,
( ( e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f123,plain,
( ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f124,plain,
( ( e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f125,plain,
( ( e20 = op2(e20,e22)
& e20 = op2(e22,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f126,plain,
( ( e20 = op2(e20,e23)
& e20 = op2(e23,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f127,plain,
( ( e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f128,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f129,plain,
( ( e21 = op2(e21,e22)
& e21 = op2(e22,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f130,plain,
( ( e21 = op2(e21,e23)
& e21 = op2(e23,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f131,plain,
( ( e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f132,plain,
( ( e22 = op2(e22,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f133,plain,
( ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f134,plain,
( ( e22 = op2(e22,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f135,plain,
( ( e23 = op2(e23,e20)
& e23 = op2(e20,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f136,plain,
( ( e23 = op2(e23,e21)
& e23 = op2(e21,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f137,plain,
( ( e23 = op2(e23,e22)
& e23 = op2(e22,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f138,plain,
( ( e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f139,plain,
( ( e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f140,plain,
( ( e20 = op2(e20,e21)
& e20 = op2(e21,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f141,plain,
( ( e20 = op2(e20,e22)
& e20 = op2(e22,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f142,plain,
( ( e20 = op2(e20,e23)
& e20 = op2(e23,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f143,plain,
( ( e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f144,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f145,plain,
( ( e21 = op2(e21,e22)
& e21 = op2(e22,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f146,plain,
( ( e21 = op2(e21,e23)
& e21 = op2(e23,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f147,plain,
( ( e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f148,plain,
( ( e22 = op2(e22,e21)
& e22 = op2(e21,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f149,plain,
( ( e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f150,plain,
( ( e22 = op2(e22,e23)
& e22 = op2(e23,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f151,plain,
( ( e23 = op2(e23,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f152,plain,
( ( e23 = op2(e23,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP130 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).
fof(f153,plain,
( ( e23 = op2(e23,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP131 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).
fof(f154,plain,
( ( ( e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| sP131
| sP130
| sP129
| 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 )
& ( ( e23 != op2(e23,op2(e23,e23))
& e22 != op2(e23,op2(e23,e22))
& e21 != op2(e23,op2(e23,e21))
& e20 != op2(e23,op2(e23,e20)) )
| sP68
| sP67
| sP66 )
& ( e23 = op2(e23,e23)
| e23 = op2(e22,e22)
| e23 = op2(e21,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e22)
| e22 = op2(e21,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e22)
| e21 = op2(e21,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e22)
| e20 = op2(e21,e21)
| e20 = op2(e20,e20) ) ),
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(f300,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP143 ),
inference(nnf_transformation,[],[f166]) ).
fof(f301,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP142 ),
inference(nnf_transformation,[],[f165]) ).
fof(f302,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP141 ),
inference(nnf_transformation,[],[f164]) ).
fof(f327,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f330,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f331,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f332,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f333,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
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(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(f344,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f351,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f375,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f378,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f379,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
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(f382,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
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(f387,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f392,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f399,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f421,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f423,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f426,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f428,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f438,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f440,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f441,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f442,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f445,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f452,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f454,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f469,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f471,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f474,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f476,plain,
op2(e20,e23) != op2(e23,e23),
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(f489,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f490,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f493,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f500,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f502,plain,
op2(e23,e21) != 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(f796,plain,
( e10 = op1(e13,e13)
| e10 = op1(e12,e12)
| e10 = op1(e11,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f87]) ).
fof(f798,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e12)
| e12 = op1(e11,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f87]) ).
fof(f799,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e12)
| e13 = op1(e11,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f87]) ).
fof(f1072,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e22)
| e20 = op2(e21,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f154]) ).
fof(f1074,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e22)
| e22 = op2(e21,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f154]) ).
fof(f1075,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e22)
| e23 = op2(e21,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f154]) ).
fof(f1084,plain,
e10 = op1(op1(e13,e13),op1(op1(e13,e13),e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f1085,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f1086,plain,
e12 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f1087,plain,
e20 = op2(op2(e23,e23),op2(op2(e23,e23),e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f1088,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f1089,plain,
e22 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f1092,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f1096,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f1097,plain,
op2(op2(e21,e21),e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f1100,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f1102,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f1103,plain,
op2(op2(e23,e23),op2(op2(e23,e23),e23)) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f1104,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f1105,plain,
op2(op2(e23,e23),e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f1108,plain,
( e22 != h4(e12)
| ~ sP143 ),
inference(cnf_transformation,[],[f300]) ).
fof(f1111,plain,
( e21 != h4(e11)
| ~ sP142 ),
inference(cnf_transformation,[],[f301]) ).
fof(f1114,plain,
( e20 != h4(e10)
| ~ sP141 ),
inference(cnf_transformation,[],[f302]) ).
fof(f1166,plain,
( 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)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f1168,plain,
( e23 != h4(e12)
| 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)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f1169,plain,
( e23 != h4(e13)
| 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)) ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_49,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[],[f327]) ).
cnf(c_73,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[],[f351]) ).
cnf(c_80,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[],[f344]) ).
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_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_91,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f333]) ).
cnf(c_92,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f332]) ).
cnf(c_93,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f331]) ).
cnf(c_94,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f330]) ).
cnf(c_97,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_121,plain,
( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_128,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[],[f392]) ).
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_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_138,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f382]) ).
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_141,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_142,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_146,plain,
op1(e13,e13) != op1(e13,e11),
inference(cnf_transformation,[],[f454]) ).
cnf(c_148,plain,
op1(e13,e13) != op1(e13,e10),
inference(cnf_transformation,[],[f452]) ).
cnf(c_155,plain,
op1(e12,e12) != op1(e12,e10),
inference(cnf_transformation,[],[f445]) ).
cnf(c_158,plain,
op1(e11,e13) != op1(e11,e11),
inference(cnf_transformation,[],[f442]) ).
cnf(c_159,plain,
op1(e11,e12) != op1(e11,e11),
inference(cnf_transformation,[],[f441]) ).
cnf(c_160,plain,
op1(e11,e13) != op1(e11,e10),
inference(cnf_transformation,[],[f440]) ).
cnf(c_162,plain,
op1(e11,e11) != op1(e11,e10),
inference(cnf_transformation,[],[f438]) ).
cnf(c_172,plain,
op1(e13,e13) != op1(e10,e13),
inference(cnf_transformation,[],[f428]) ).
cnf(c_174,plain,
op1(e11,e13) != op1(e10,e13),
inference(cnf_transformation,[],[f426]) ).
cnf(c_177,plain,
op1(e12,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f423]) ).
cnf(c_179,plain,
op1(e12,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f421]) ).
cnf(c_194,plain,
op2(e23,e23) != op2(e23,e21),
inference(cnf_transformation,[],[f502]) ).
cnf(c_196,plain,
op2(e23,e23) != op2(e23,e20),
inference(cnf_transformation,[],[f500]) ).
cnf(c_203,plain,
op2(e22,e22) != op2(e22,e20),
inference(cnf_transformation,[],[f493]) ).
cnf(c_206,plain,
op2(e21,e23) != op2(e21,e21),
inference(cnf_transformation,[],[f490]) ).
cnf(c_207,plain,
op2(e21,e22) != op2(e21,e21),
inference(cnf_transformation,[],[f489]) ).
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_220,plain,
op2(e23,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f476]) ).
cnf(c_222,plain,
op2(e21,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f474]) ).
cnf(c_225,plain,
op2(e22,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f471]) ).
cnf(c_227,plain,
op2(e22,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f469]) ).
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_541,plain,
( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f799]) ).
cnf(c_542,plain,
( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f798]) ).
cnf(c_544,plain,
( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f796]) ).
cnf(c_817,plain,
( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f1075]) ).
cnf(c_818,plain,
( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f1074]) ).
cnf(c_820,plain,
( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f1072]) ).
cnf(c_821,plain,
op1(op1(e13,e13),e13) = e12,
inference(cnf_transformation,[],[f1086]) ).
cnf(c_822,plain,
op1(e13,e13) = e11,
inference(cnf_transformation,[],[f1085]) ).
cnf(c_823,plain,
op1(op1(e13,e13),op1(op1(e13,e13),e13)) = e10,
inference(cnf_transformation,[],[f1084]) ).
cnf(c_824,plain,
op2(op2(e23,e23),e23) = e22,
inference(cnf_transformation,[],[f1089]) ).
cnf(c_825,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[],[f1088]) ).
cnf(c_826,plain,
op2(op2(e23,e23),op2(op2(e23,e23),e23)) = e20,
inference(cnf_transformation,[],[f1087]) ).
cnf(c_828,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f1092]) ).
cnf(c_831,plain,
op2(op2(e21,e21),e21) = h2(e12),
inference(cnf_transformation,[],[f1097]) ).
cnf(c_832,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f1096]) ).
cnf(c_836,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f1100]) ).
cnf(c_839,plain,
op2(op2(e23,e23),e23) = h4(e12),
inference(cnf_transformation,[],[f1105]) ).
cnf(c_840,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f1104]) ).
cnf(c_841,plain,
op2(op2(e23,e23),op2(op2(e23,e23),e23)) = h4(e10),
inference(cnf_transformation,[],[f1103]) ).
cnf(c_842,plain,
h4(e13) = e23,
inference(cnf_transformation,[],[f1102]) ).
cnf(c_844,plain,
( h4(e12) != e22
| ~ sP143 ),
inference(cnf_transformation,[],[f1108]) ).
cnf(c_849,plain,
( h4(e11) != e21
| ~ sP142 ),
inference(cnf_transformation,[],[f1111]) ).
cnf(c_854,plain,
( h4(e10) != e20
| ~ sP141 ),
inference(cnf_transformation,[],[f1114]) ).
cnf(c_891,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| h4(e13) != e23
| sP143
| sP142
| sP141 ),
inference(cnf_transformation,[],[f1169]) ).
cnf(c_892,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| h4(e12) != e23
| sP143
| sP142
| sP141 ),
inference(cnf_transformation,[],[f1168]) ).
cnf(c_894,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| h4(e10) != e23
| sP143
| sP142
| sP141 ),
inference(cnf_transformation,[],[f1166]) ).
cnf(c_939,plain,
op2(e23,e23) = e21,
inference(global_subsumption_just,[status(thm)],[c_97,c_825]) ).
cnf(c_945,plain,
op1(e13,e13) = e11,
inference(global_subsumption_just,[status(thm)],[c_49,c_822]) ).
cnf(c_987,plain,
( op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| sP143
| sP142
| sP141 ),
inference(global_subsumption_just,[status(thm)],[c_894,c_842,c_891]) ).
cnf(c_988,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| sP143
| sP142
| sP141 ),
inference(renaming,[status(thm)],[c_987]) ).
cnf(c_991,plain,
( op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| sP143
| sP142
| sP141 ),
inference(global_subsumption_just,[status(thm)],[c_892,c_988]) ).
cnf(c_992,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| sP143
| sP142
| sP141 ),
inference(renaming,[status(thm)],[c_991]) ).
cnf(c_4843,plain,
h4(e11) = e21,
inference(light_normalisation,[status(thm)],[c_840,c_939]) ).
cnf(c_4934,plain,
( e21 != e21
| ~ sP142 ),
inference(demodulation,[status(thm)],[c_849,c_4843]) ).
cnf(c_4935,plain,
~ sP142,
inference(equality_resolution_simp,[status(thm)],[c_4934]) ).
cnf(c_4946,plain,
op2(e21,e23) = e22,
inference(light_normalisation,[status(thm)],[c_824,c_939]) ).
cnf(c_4947,plain,
op1(e11,e13) = e12,
inference(light_normalisation,[status(thm)],[c_821,c_945]) ).
cnf(c_6440,plain,
h4(e12) = e22,
inference(light_normalisation,[status(thm)],[c_839,c_939,c_4946]) ).
cnf(c_6441,plain,
( e22 != e22
| ~ sP143 ),
inference(demodulation,[status(thm)],[c_844,c_6440]) ).
cnf(c_6443,plain,
~ sP143,
inference(equality_resolution_simp,[status(thm)],[c_6441]) ).
cnf(c_6445,plain,
op2(h2(e11),e21) = h2(e12),
inference(light_normalisation,[status(thm)],[c_831,c_832]) ).
cnf(c_6453,plain,
op2(e20,e22) != h3(e11),
inference(light_normalisation,[status(thm)],[c_227,c_836]) ).
cnf(c_6454,plain,
op2(e21,e22) != h3(e11),
inference(light_normalisation,[status(thm)],[c_225,c_836]) ).
cnf(c_6456,plain,
op2(e20,e23) != e22,
inference(light_normalisation,[status(thm)],[c_222,c_4946]) ).
cnf(c_6457,plain,
op2(e20,e23) != e21,
inference(light_normalisation,[status(thm)],[c_220,c_939]) ).
cnf(c_6470,plain,
op2(e21,e20) != h2(e11),
inference(light_normalisation,[status(thm)],[c_210,c_832]) ).
cnf(c_6471,plain,
op2(e21,e20) != e22,
inference(light_normalisation,[status(thm)],[c_208,c_4946]) ).
cnf(c_6472,plain,
op2(e21,e22) != h2(e11),
inference(light_normalisation,[status(thm)],[c_207,c_832]) ).
cnf(c_6473,plain,
h2(e11) != e22,
inference(light_normalisation,[status(thm)],[c_206,c_832,c_4946]) ).
cnf(c_6482,plain,
op2(e22,e20) != h3(e11),
inference(light_normalisation,[status(thm)],[c_203,c_836]) ).
cnf(c_6485,plain,
op2(e23,e20) != e21,
inference(light_normalisation,[status(thm)],[c_196,c_939]) ).
cnf(c_6486,plain,
op2(e23,e21) != e21,
inference(light_normalisation,[status(thm)],[c_194,c_939]) ).
cnf(c_6488,plain,
op1(e10,e13) != e12,
inference(light_normalisation,[status(thm)],[c_174,c_4947]) ).
cnf(c_6489,plain,
op1(e10,e13) != e11,
inference(light_normalisation,[status(thm)],[c_172,c_945]) ).
cnf(c_6499,plain,
op1(e11,e10) != e12,
inference(light_normalisation,[status(thm)],[c_160,c_4947]) ).
cnf(c_6500,plain,
op1(e11,e11) != e12,
inference(light_normalisation,[status(thm)],[c_158,c_4947]) ).
cnf(c_6509,plain,
op1(e13,e10) != e11,
inference(light_normalisation,[status(thm)],[c_148,c_945]) ).
cnf(c_6510,plain,
op1(e13,e11) != e11,
inference(light_normalisation,[status(thm)],[c_146,c_945]) ).
cnf(c_6613,plain,
op2(e21,e22) = e20,
inference(light_normalisation,[status(thm)],[c_826,c_939,c_4946]) ).
cnf(c_6617,plain,
h2(e11) != e20,
inference(demodulation,[status(thm)],[c_6472,c_6613]) ).
cnf(c_6620,plain,
h3(e11) != e20,
inference(demodulation,[status(thm)],[c_6454,c_6613]) ).
cnf(c_6642,plain,
op1(e11,e12) = e10,
inference(light_normalisation,[status(thm)],[c_823,c_945,c_4947]) ).
cnf(c_6646,plain,
op1(e11,e11) != e10,
inference(demodulation,[status(thm)],[c_159,c_6642]) ).
cnf(c_6649,plain,
op1(e12,e12) != e10,
inference(demodulation,[status(thm)],[c_177,c_6642]) ).
cnf(c_6737,plain,
h4(e10) = e20,
inference(light_normalisation,[status(thm)],[c_841,c_939,c_4946,c_6613]) ).
cnf(c_6738,plain,
( e20 != e20
| ~ sP141 ),
inference(demodulation,[status(thm)],[c_854,c_6737]) ).
cnf(c_6739,plain,
~ sP141,
inference(equality_resolution_simp,[status(thm)],[c_6738]) ).
cnf(c_6743,plain,
( h1(e11) = e20
| h2(e11) = e20
| h3(e11) = e20
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_820,c_939,c_828,c_832,c_836]) ).
cnf(c_6744,plain,
h1(e11) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_6743,c_252,c_6620,c_6617]) ).
cnf(c_6761,plain,
op2(e20,e20) = e20,
inference(demodulation,[status(thm)],[c_828,c_6744]) ).
cnf(c_6804,plain,
( h2(e11) = e22
| h3(e11) = e22
| e22 = e21
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_818,c_939,c_832,c_836,c_6761]) ).
cnf(c_6805,plain,
h3(e11) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_6804,c_251,c_249,c_6473]) ).
cnf(c_6811,plain,
op2(e22,e20) != e22,
inference(demodulation,[status(thm)],[c_6482,c_6805]) ).
cnf(c_6813,plain,
op2(e20,e22) != e22,
inference(demodulation,[status(thm)],[c_6453,c_6805]) ).
cnf(c_6819,plain,
op2(e22,e22) = e22,
inference(demodulation,[status(thm)],[c_836,c_6805]) ).
cnf(c_6851,plain,
( h2(e11) = e23
| e23 = e22
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_817,c_939,c_832,c_6761,c_6819]) ).
cnf(c_6852,plain,
h2(e11) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_6851,c_250,c_248,c_247]) ).
cnf(c_6857,plain,
op2(e21,e20) != e23,
inference(demodulation,[status(thm)],[c_6470,c_6852]) ).
cnf(c_6861,plain,
op2(e23,e21) = h2(e12),
inference(demodulation,[status(thm)],[c_6445,c_6852]) ).
cnf(c_6864,plain,
op2(e21,e21) = e23,
inference(demodulation,[status(thm)],[c_832,c_6852]) ).
cnf(c_6869,plain,
h2(e12) != e21,
inference(demodulation,[status(thm)],[c_6486,c_6861]) ).
cnf(c_6889,plain,
( op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_544,c_945]) ).
cnf(c_6890,plain,
op1(e10,e10) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_6889,c_246,c_6646,c_6649]) ).
cnf(c_6939,plain,
( op1(e12,e12) = e12
| op1(e11,e11) = e12
| e12 = e11
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_542,c_945,c_6890]) ).
cnf(c_6940,plain,
op1(e12,e12) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_6939,c_245,c_243,c_6500]) ).
cnf(c_6945,plain,
op1(e12,e10) != e12,
inference(demodulation,[status(thm)],[c_155,c_6940]) ).
cnf(c_6947,plain,
op1(e10,e12) != e12,
inference(demodulation,[status(thm)],[c_179,c_6940]) ).
cnf(c_6976,plain,
( op1(e11,e11) = e13
| e13 = e12
| e13 = e11
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_541,c_945,c_6890,c_6940]) ).
cnf(c_6977,plain,
op1(e11,e11) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_6976,c_244,c_242,c_241]) ).
cnf(c_6981,plain,
op1(e11,e10) != e13,
inference(demodulation,[status(thm)],[c_162,c_6977]) ).
cnf(c_6990,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_142,c_6761]) ).
cnf(c_6991,plain,
( op2(e20,e22) = e21
| op2(e20,e21) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_6990,c_252,c_6457]) ).
cnf(c_6996,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_141,c_6761]) ).
cnf(c_6997,plain,
( op2(e22,e20) = e21
| op2(e21,e20) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_6996,c_252,c_6485]) ).
cnf(c_7002,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_140,c_6761]) ).
cnf(c_7003,plain,
op2(e20,e21) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_7002,c_251,c_6813,c_6456]) ).
cnf(c_7004,plain,
( op2(e20,e22) = e21
| e22 = e21 ),
inference(demodulation,[status(thm)],[c_6991,c_7003]) ).
cnf(c_7013,plain,
op2(e20,e22) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_7004,c_249]) ).
cnf(c_7018,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_139,c_6761]) ).
cnf(c_7019,plain,
op2(e23,e20) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_7018,c_251,c_6471,c_6811]) ).
cnf(c_7029,plain,
( op2(e20,e23) = e23
| e23 = e22
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_138,c_6761,c_7003,c_7013]) ).
cnf(c_7030,plain,
op2(e20,e23) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_7029,c_250,c_248,c_247]) ).
cnf(c_7036,plain,
( op2(e22,e20) = e23
| op2(e21,e20) = e23
| e23 = e22
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_137,c_6761,c_7019]) ).
cnf(c_7037,plain,
op2(e22,e20) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_7036,c_250,c_247,c_6857]) ).
cnf(c_7038,plain,
( op2(e21,e20) = e21
| e23 = e21 ),
inference(demodulation,[status(thm)],[c_6997,c_7037]) ).
cnf(c_7044,plain,
op2(e21,e20) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_7038,c_248]) ).
cnf(c_7050,plain,
( op2(e22,e21) = e20
| h2(e12) = e20
| e23 = e20
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_135,c_6861,c_6864,c_7003]) ).
cnf(c_7051,plain,
( op2(e22,e21) = e20
| h2(e12) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_7050,c_251,c_250]) ).
cnf(c_7056,plain,
( op2(e22,e21) = e21
| h2(e12) = e21
| e23 = e21
| e22 = e21 ),
inference(light_normalisation,[status(thm)],[c_133,c_6861,c_6864,c_7003]) ).
cnf(c_7057,plain,
op2(e22,e21) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_7056,c_249,c_248,c_6869]) ).
cnf(c_7058,plain,
( h2(e12) = e20
| e21 = e20 ),
inference(demodulation,[status(thm)],[c_7051,c_7057]) ).
cnf(c_7063,plain,
h2(e12) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_7058,c_252]) ).
cnf(c_7069,plain,
op2(e23,e21) = e20,
inference(demodulation,[status(thm)],[c_6861,c_7063]) ).
cnf(c_7076,plain,
( op2(e22,e23) = e20
| e23 = e20
| e22 = e20
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_128,c_6819,c_7037,c_7057]) ).
cnf(c_7077,plain,
op2(e22,e23) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_7076,c_252,c_251,c_250]) ).
cnf(c_7081,plain,
( op2(e23,e22) = e23
| e23 = e22
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_121,c_6613,c_6819,c_7013]) ).
cnf(c_7082,plain,
op2(e23,e22) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_7081,c_250,c_248,c_247]) ).
cnf(c_7088,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_94,c_6890]) ).
cnf(c_7089,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_7088,c_246,c_6489]) ).
cnf(c_7094,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_93,c_6890]) ).
cnf(c_7095,plain,
( op1(e12,e10) = e11
| op1(e11,e10) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_7094,c_246,c_6509]) ).
cnf(c_7100,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_92,c_6890]) ).
cnf(c_7101,plain,
op1(e10,e11) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_7100,c_245,c_6947,c_6488]) ).
cnf(c_7102,plain,
( op1(e10,e12) = e11
| e12 = e11 ),
inference(demodulation,[status(thm)],[c_7089,c_7101]) ).
cnf(c_7111,plain,
op1(e10,e12) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_7102,c_243]) ).
cnf(c_7116,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_91,c_6890]) ).
cnf(c_7117,plain,
op1(e13,e10) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_7116,c_245,c_6499,c_6945]) ).
cnf(c_7127,plain,
( op1(e10,e13) = e13
| e13 = e12
| e13 = e11
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_90,c_6890,c_7101,c_7111]) ).
cnf(c_7128,plain,
op1(e10,e13) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_7127,c_244,c_242,c_241]) ).
cnf(c_7134,plain,
( op1(e12,e10) = e13
| op1(e11,e10) = e13
| e13 = e12
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_89,c_6890,c_7117]) ).
cnf(c_7135,plain,
op1(e12,e10) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_7134,c_244,c_241,c_6981]) ).
cnf(c_7136,plain,
( op1(e11,e10) = e11
| e13 = e11 ),
inference(demodulation,[status(thm)],[c_7095,c_7135]) ).
cnf(c_7142,plain,
op1(e11,e10) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_7136,c_242]) ).
cnf(c_7148,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| e13 = e10
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_87,c_6977,c_7101]) ).
cnf(c_7149,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_7148,c_245,c_244]) ).
cnf(c_7154,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| e13 = e11
| e12 = e11 ),
inference(light_normalisation,[status(thm)],[c_85,c_6977,c_7101]) ).
cnf(c_7155,plain,
op1(e12,e11) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_7154,c_243,c_242,c_6510]) ).
cnf(c_7156,plain,
( op1(e13,e11) = e10
| e11 = e10 ),
inference(demodulation,[status(thm)],[c_7149,c_7155]) ).
cnf(c_7161,plain,
op1(e13,e11) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_7156,c_246]) ).
cnf(c_7168,plain,
( op1(e12,e13) = e10
| e13 = e10
| e12 = e10
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_80,c_6940,c_7135,c_7155]) ).
cnf(c_7169,plain,
op1(e12,e13) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_7168,c_246,c_245,c_244]) ).
cnf(c_7173,plain,
( op1(e13,e12) = e13
| e13 = e12
| e13 = e11
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_73,c_6642,c_6940,c_7111]) ).
cnf(c_7174,plain,
op1(e13,e12) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_7173,c_244,c_242,c_241]) ).
cnf(c_7190,plain,
( e23 != e23
| e22 != e22
| e21 != e21
| e20 != e20
| sP143
| sP142
| sP141 ),
inference(light_normalisation,[status(thm)],[c_992,c_945,c_939,c_842,c_4843,c_4946,c_4947,c_6440,c_6613,c_6642,c_6737,c_6761,c_6819,c_6864,c_6890,c_6940,c_6977,c_7003,c_7013,c_7019,c_7030,c_7037,c_7044,c_7057,c_7069,c_7077,c_7082,c_7101,c_7111,c_7117,c_7128,c_7135,c_7142,c_7155,c_7161,c_7169,c_7174]) ).
cnf(c_7191,plain,
( sP143
| sP142
| sP141 ),
inference(equality_resolution_simp,[status(thm)],[c_7190]) ).
cnf(c_7192,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7191,c_6739,c_4935,c_6443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG115+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 22:39:55 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.04/1.14 % SZS status Started for theBenchmark.p
% 4.04/1.14 % SZS status Theorem for theBenchmark.p
% 4.04/1.14
% 4.04/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.04/1.14
% 4.04/1.14 ------ iProver source info
% 4.04/1.14
% 4.04/1.14 git: date: 2024-05-02 19:28:25 +0000
% 4.04/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.04/1.14 git: non_committed_changes: false
% 4.04/1.14
% 4.04/1.14 ------ Parsing...
% 4.04/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.04/1.14
% 4.04/1.14 ------ Preprocessing...
% 4.04/1.14
% 4.04/1.14 % SZS status Theorem for theBenchmark.p
% 4.04/1.14
% 4.04/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.04/1.15
% 4.04/1.15
%------------------------------------------------------------------------------