TSTP Solution File: ALG113+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG113+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 02:03:46 EDT 2024
% Result : Theorem 3.19s 1.11s
% Output : CNFRefutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 60
% Syntax : Number of formulae : 369 ( 192 unt; 0 def)
% Number of atoms : 2853 (2746 equ)
% Maximal formula atoms : 384 ( 7 avg)
% Number of connectives : 3603 (1119 ~;1472 |;1012 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 38 ( 36 usr; 37 prp; 0-2 aty)
% Number of functors : 22 ( 22 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)
& e12 = op1(e12,e12)
& e11 = op1(e11,e11)
& e10 = op1(e10,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( e23 = op2(e23,e23)
& e22 = op2(e22,e22)
& e21 = op2(e21,e21)
& e20 = op2(e20,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e11 = op1(op1(e12,e13),e13)
& e10 = op1(e12,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e21 = op2(op2(e22,e23),e23)
& e20 = op2(e22,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e11) = op2(op2(e20,e21),e21)
& op2(e20,e21) = h1(e10)
& e21 = h1(e13)
& e20 = h1(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e11) = op2(op2(e20,e22),e22)
& op2(e20,e22) = h2(e10)
& e22 = h2(e13)
& e20 = h2(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e11) = op2(op2(e20,e23),e23)
& op2(e20,e23) = h3(e10)
& e23 = h3(e13)
& e20 = h3(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e11) = op2(op2(e21,e20),e20)
& op2(e21,e20) = h4(e10)
& e20 = h4(e13)
& e21 = h4(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
( h5(e11) = op2(op2(e21,e22),e22)
& op2(e21,e22) = h5(e10)
& e22 = h5(e13)
& e21 = h5(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f19,axiom,
( h6(e11) = op2(op2(e21,e23),e23)
& op2(e21,e23) = h6(e10)
& e23 = h6(e13)
& e21 = h6(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f20,axiom,
( h7(e11) = op2(op2(e22,e20),e20)
& op2(e22,e20) = h7(e10)
& e20 = h7(e13)
& e22 = h7(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f21,axiom,
( h8(e11) = op2(op2(e22,e21),e21)
& op2(e22,e21) = h8(e10)
& e21 = h8(e13)
& e22 = h8(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f23,axiom,
( h10(e11) = op2(op2(e23,e20),e20)
& op2(e23,e20) = h10(e10)
& e20 = h10(e13)
& e23 = h10(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f24,axiom,
( h11(e11) = op2(op2(e23,e21),e21)
& op2(e23,e21) = h11(e10)
& e21 = h11(e13)
& e23 = h11(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
( h12(e11) = op2(op2(e23,e22),e22)
& op2(e23,e22) = h12(e10)
& e22 = h12(e13)
& e23 = h12(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f26,conjecture,
( ( ( e23 = h12(e13)
| e23 = h12(e12)
| e23 = h12(e11)
| e23 = h12(e10) )
& ( e22 = h12(e13)
| e22 = h12(e12)
| e22 = h12(e11)
| e22 = h12(e10) )
& ( e21 = h12(e13)
| e21 = h12(e12)
| e21 = h12(e11)
| e21 = h12(e10) )
& ( e20 = h12(e13)
| e20 = h12(e12)
| e20 = h12(e11)
| e20 = h12(e10) )
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) )
| ( ( e23 = h11(e13)
| e23 = h11(e12)
| e23 = h11(e11)
| e23 = h11(e10) )
& ( e22 = h11(e13)
| e22 = h11(e12)
| e22 = h11(e11)
| e22 = h11(e10) )
& ( e21 = h11(e13)
| e21 = h11(e12)
| e21 = h11(e11)
| e21 = h11(e10) )
& ( e20 = h11(e13)
| e20 = h11(e12)
| e20 = h11(e11)
| e20 = h11(e10) )
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e10)) = op2(h11(e10),h11(e10)) )
| ( ( e23 = h10(e13)
| e23 = h10(e12)
| e23 = h10(e11)
| e23 = h10(e10) )
& ( e22 = h10(e13)
| e22 = h10(e12)
| e22 = h10(e11)
| e22 = h10(e10) )
& ( e21 = h10(e13)
| e21 = h10(e12)
| e21 = h10(e11)
| e21 = h10(e10) )
& ( e20 = h10(e13)
| e20 = h10(e12)
| e20 = h10(e11)
| e20 = h10(e10) )
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e10)) = op2(h10(e10),h10(e10)) )
| ( ( e23 = h9(e13)
| e23 = h9(e12)
| e23 = h9(e11)
| e23 = h9(e10) )
& ( e22 = h9(e13)
| e22 = h9(e12)
| e22 = h9(e11)
| e22 = h9(e10) )
& ( e21 = h9(e13)
| e21 = h9(e12)
| e21 = h9(e11)
| e21 = h9(e10) )
& ( e20 = h9(e13)
| e20 = h9(e12)
| e20 = h9(e11)
| e20 = h9(e10) )
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e10)) = op2(h9(e10),h9(e10)) )
| ( ( e23 = h8(e13)
| e23 = h8(e12)
| e23 = h8(e11)
| e23 = h8(e10) )
& ( e22 = h8(e13)
| e22 = h8(e12)
| e22 = h8(e11)
| e22 = h8(e10) )
& ( e21 = h8(e13)
| e21 = h8(e12)
| e21 = h8(e11)
| e21 = h8(e10) )
& ( e20 = h8(e13)
| e20 = h8(e12)
| e20 = h8(e11)
| e20 = h8(e10) )
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e10)) = op2(h8(e10),h8(e10)) )
| ( ( e23 = h7(e13)
| e23 = h7(e12)
| e23 = h7(e11)
| e23 = h7(e10) )
& ( e22 = h7(e13)
| e22 = h7(e12)
| e22 = h7(e11)
| e22 = h7(e10) )
& ( e21 = h7(e13)
| e21 = h7(e12)
| e21 = h7(e11)
| e21 = h7(e10) )
& ( e20 = h7(e13)
| e20 = h7(e12)
| e20 = h7(e11)
| e20 = h7(e10) )
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e10)) = op2(h7(e10),h7(e10)) )
| ( ( e23 = h6(e13)
| e23 = h6(e12)
| e23 = h6(e11)
| e23 = h6(e10) )
& ( e22 = h6(e13)
| e22 = h6(e12)
| e22 = h6(e11)
| e22 = h6(e10) )
& ( e21 = h6(e13)
| e21 = h6(e12)
| e21 = h6(e11)
| e21 = h6(e10) )
& ( e20 = h6(e13)
| e20 = h6(e12)
| e20 = h6(e11)
| e20 = h6(e10) )
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e10)) = op2(h6(e10),h6(e10)) )
| ( ( e23 = h5(e13)
| e23 = h5(e12)
| e23 = h5(e11)
| e23 = h5(e10) )
& ( e22 = h5(e13)
| e22 = h5(e12)
| e22 = h5(e11)
| e22 = h5(e10) )
& ( e21 = h5(e13)
| e21 = h5(e12)
| e21 = h5(e11)
| e21 = h5(e10) )
& ( e20 = h5(e13)
| e20 = h5(e12)
| e20 = h5(e11)
| e20 = h5(e10) )
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e10)) = op2(h5(e10),h5(e10)) )
| ( ( 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(f27,negated_conjecture,
~ ( ( ( e23 = h12(e13)
| e23 = h12(e12)
| e23 = h12(e11)
| e23 = h12(e10) )
& ( e22 = h12(e13)
| e22 = h12(e12)
| e22 = h12(e11)
| e22 = h12(e10) )
& ( e21 = h12(e13)
| e21 = h12(e12)
| e21 = h12(e11)
| e21 = h12(e10) )
& ( e20 = h12(e13)
| e20 = h12(e12)
| e20 = h12(e11)
| e20 = h12(e10) )
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) )
| ( ( e23 = h11(e13)
| e23 = h11(e12)
| e23 = h11(e11)
| e23 = h11(e10) )
& ( e22 = h11(e13)
| e22 = h11(e12)
| e22 = h11(e11)
| e22 = h11(e10) )
& ( e21 = h11(e13)
| e21 = h11(e12)
| e21 = h11(e11)
| e21 = h11(e10) )
& ( e20 = h11(e13)
| e20 = h11(e12)
| e20 = h11(e11)
| e20 = h11(e10) )
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e10)) = op2(h11(e10),h11(e10)) )
| ( ( e23 = h10(e13)
| e23 = h10(e12)
| e23 = h10(e11)
| e23 = h10(e10) )
& ( e22 = h10(e13)
| e22 = h10(e12)
| e22 = h10(e11)
| e22 = h10(e10) )
& ( e21 = h10(e13)
| e21 = h10(e12)
| e21 = h10(e11)
| e21 = h10(e10) )
& ( e20 = h10(e13)
| e20 = h10(e12)
| e20 = h10(e11)
| e20 = h10(e10) )
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e10)) = op2(h10(e10),h10(e10)) )
| ( ( e23 = h9(e13)
| e23 = h9(e12)
| e23 = h9(e11)
| e23 = h9(e10) )
& ( e22 = h9(e13)
| e22 = h9(e12)
| e22 = h9(e11)
| e22 = h9(e10) )
& ( e21 = h9(e13)
| e21 = h9(e12)
| e21 = h9(e11)
| e21 = h9(e10) )
& ( e20 = h9(e13)
| e20 = h9(e12)
| e20 = h9(e11)
| e20 = h9(e10) )
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e10)) = op2(h9(e10),h9(e10)) )
| ( ( e23 = h8(e13)
| e23 = h8(e12)
| e23 = h8(e11)
| e23 = h8(e10) )
& ( e22 = h8(e13)
| e22 = h8(e12)
| e22 = h8(e11)
| e22 = h8(e10) )
& ( e21 = h8(e13)
| e21 = h8(e12)
| e21 = h8(e11)
| e21 = h8(e10) )
& ( e20 = h8(e13)
| e20 = h8(e12)
| e20 = h8(e11)
| e20 = h8(e10) )
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e10)) = op2(h8(e10),h8(e10)) )
| ( ( e23 = h7(e13)
| e23 = h7(e12)
| e23 = h7(e11)
| e23 = h7(e10) )
& ( e22 = h7(e13)
| e22 = h7(e12)
| e22 = h7(e11)
| e22 = h7(e10) )
& ( e21 = h7(e13)
| e21 = h7(e12)
| e21 = h7(e11)
| e21 = h7(e10) )
& ( e20 = h7(e13)
| e20 = h7(e12)
| e20 = h7(e11)
| e20 = h7(e10) )
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e10)) = op2(h7(e10),h7(e10)) )
| ( ( e23 = h6(e13)
| e23 = h6(e12)
| e23 = h6(e11)
| e23 = h6(e10) )
& ( e22 = h6(e13)
| e22 = h6(e12)
| e22 = h6(e11)
| e22 = h6(e10) )
& ( e21 = h6(e13)
| e21 = h6(e12)
| e21 = h6(e11)
| e21 = h6(e10) )
& ( e20 = h6(e13)
| e20 = h6(e12)
| e20 = h6(e11)
| e20 = h6(e10) )
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e10)) = op2(h6(e10),h6(e10)) )
| ( ( e23 = h5(e13)
| e23 = h5(e12)
| e23 = h5(e11)
| e23 = h5(e10) )
& ( e22 = h5(e13)
| e22 = h5(e12)
| e22 = h5(e11)
| e22 = h5(e10) )
& ( e21 = h5(e13)
| e21 = h5(e12)
| e21 = h5(e11)
| e21 = h5(e10) )
& ( e20 = h5(e13)
| e20 = h5(e12)
| e20 = h5(e11)
| e20 = h5(e10) )
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e10)) = op2(h5(e10),h5(e10)) )
| ( ( 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,[],[f26]) ).
fof(f28,plain,
( ( ( e23 != h12(e13)
& e23 != h12(e12)
& e23 != h12(e11)
& e23 != h12(e10) )
| ( e22 != h12(e13)
& e22 != h12(e12)
& e22 != h12(e11)
& e22 != h12(e10) )
| ( e21 != h12(e13)
& e21 != h12(e12)
& e21 != h12(e11)
& e21 != h12(e10) )
| ( e20 != h12(e13)
& e20 != h12(e12)
& e20 != h12(e11)
& e20 != h12(e10) )
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) )
& ( ( e23 != h11(e13)
& e23 != h11(e12)
& e23 != h11(e11)
& e23 != h11(e10) )
| ( e22 != h11(e13)
& e22 != h11(e12)
& e22 != h11(e11)
& e22 != h11(e10) )
| ( e21 != h11(e13)
& e21 != h11(e12)
& e21 != h11(e11)
& e21 != h11(e10) )
| ( e20 != h11(e13)
& e20 != h11(e12)
& e20 != h11(e11)
& e20 != h11(e10) )
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e10)) != op2(h11(e10),h11(e10)) )
& ( ( e23 != h10(e13)
& e23 != h10(e12)
& e23 != h10(e11)
& e23 != h10(e10) )
| ( e22 != h10(e13)
& e22 != h10(e12)
& e22 != h10(e11)
& e22 != h10(e10) )
| ( e21 != h10(e13)
& e21 != h10(e12)
& e21 != h10(e11)
& e21 != h10(e10) )
| ( e20 != h10(e13)
& e20 != h10(e12)
& e20 != h10(e11)
& e20 != h10(e10) )
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e10)) != op2(h10(e10),h10(e10)) )
& ( ( e23 != h9(e13)
& e23 != h9(e12)
& e23 != h9(e11)
& e23 != h9(e10) )
| ( e22 != h9(e13)
& e22 != h9(e12)
& e22 != h9(e11)
& e22 != h9(e10) )
| ( e21 != h9(e13)
& e21 != h9(e12)
& e21 != h9(e11)
& e21 != h9(e10) )
| ( e20 != h9(e13)
& e20 != h9(e12)
& e20 != h9(e11)
& e20 != h9(e10) )
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) )
& ( ( e23 != h8(e13)
& e23 != h8(e12)
& e23 != h8(e11)
& e23 != h8(e10) )
| ( e22 != h8(e13)
& e22 != h8(e12)
& e22 != h8(e11)
& e22 != h8(e10) )
| ( e21 != h8(e13)
& e21 != h8(e12)
& e21 != h8(e11)
& e21 != h8(e10) )
| ( e20 != h8(e13)
& e20 != h8(e12)
& e20 != h8(e11)
& e20 != h8(e10) )
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e10)) != op2(h8(e10),h8(e10)) )
& ( ( e23 != h7(e13)
& e23 != h7(e12)
& e23 != h7(e11)
& e23 != h7(e10) )
| ( e22 != h7(e13)
& e22 != h7(e12)
& e22 != h7(e11)
& e22 != h7(e10) )
| ( e21 != h7(e13)
& e21 != h7(e12)
& e21 != h7(e11)
& e21 != h7(e10) )
| ( e20 != h7(e13)
& e20 != h7(e12)
& e20 != h7(e11)
& e20 != h7(e10) )
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e10)) != op2(h7(e10),h7(e10)) )
& ( ( e23 != h6(e13)
& e23 != h6(e12)
& e23 != h6(e11)
& e23 != h6(e10) )
| ( e22 != h6(e13)
& e22 != h6(e12)
& e22 != h6(e11)
& e22 != h6(e10) )
| ( e21 != h6(e13)
& e21 != h6(e12)
& e21 != h6(e11)
& e21 != h6(e10) )
| ( e20 != h6(e13)
& e20 != h6(e12)
& e20 != h6(e11)
& e20 != h6(e10) )
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e10)) != op2(h6(e10),h6(e10)) )
& ( ( e23 != h5(e13)
& e23 != h5(e12)
& e23 != h5(e11)
& e23 != h5(e10) )
| ( e22 != h5(e13)
& e22 != h5(e12)
& e22 != h5(e11)
& e22 != h5(e10) )
| ( e21 != h5(e13)
& e21 != h5(e12)
& e21 != h5(e11)
& e21 != h5(e10) )
| ( e20 != h5(e13)
& e20 != h5(e12)
& e20 != h5(e11)
& e20 != h5(e10) )
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
& ( ( 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,[],[f27]) ).
fof(f29,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f30,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f31,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f32,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f33,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f34,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f35,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f36,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f37,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f38,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f39,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f40,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f41,plain,
( ( e20 != h5(e13)
& e20 != h5(e12)
& e20 != h5(e11)
& e20 != h5(e10) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f42,plain,
( ( e21 != h5(e13)
& e21 != h5(e12)
& e21 != h5(e11)
& e21 != h5(e10) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f43,plain,
( ( e22 != h5(e13)
& e22 != h5(e12)
& e22 != h5(e11)
& e22 != h5(e10) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f44,plain,
( ( e20 != h6(e13)
& e20 != h6(e12)
& e20 != h6(e11)
& e20 != h6(e10) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f45,plain,
( ( e21 != h6(e13)
& e21 != h6(e12)
& e21 != h6(e11)
& e21 != h6(e10) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f46,plain,
( ( e22 != h6(e13)
& e22 != h6(e12)
& e22 != h6(e11)
& e22 != h6(e10) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f47,plain,
( ( e20 != h7(e13)
& e20 != h7(e12)
& e20 != h7(e11)
& e20 != h7(e10) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f48,plain,
( ( e21 != h7(e13)
& e21 != h7(e12)
& e21 != h7(e11)
& e21 != h7(e10) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f49,plain,
( ( e22 != h7(e13)
& e22 != h7(e12)
& e22 != h7(e11)
& e22 != h7(e10) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f50,plain,
( ( e20 != h8(e13)
& e20 != h8(e12)
& e20 != h8(e11)
& e20 != h8(e10) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f51,plain,
( ( e21 != h8(e13)
& e21 != h8(e12)
& e21 != h8(e11)
& e21 != h8(e10) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f52,plain,
( ( e22 != h8(e13)
& e22 != h8(e12)
& e22 != h8(e11)
& e22 != h8(e10) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f53,plain,
( ( e20 != h9(e13)
& e20 != h9(e12)
& e20 != h9(e11)
& e20 != h9(e10) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f54,plain,
( ( e21 != h9(e13)
& e21 != h9(e12)
& e21 != h9(e11)
& e21 != h9(e10) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f55,plain,
( ( e22 != h9(e13)
& e22 != h9(e12)
& e22 != h9(e11)
& e22 != h9(e10) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f56,plain,
( ( e20 != h10(e13)
& e20 != h10(e12)
& e20 != h10(e11)
& e20 != h10(e10) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f57,plain,
( ( e21 != h10(e13)
& e21 != h10(e12)
& e21 != h10(e11)
& e21 != h10(e10) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f58,plain,
( ( e22 != h10(e13)
& e22 != h10(e12)
& e22 != h10(e11)
& e22 != h10(e10) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f59,plain,
( ( e20 != h11(e13)
& e20 != h11(e12)
& e20 != h11(e11)
& e20 != h11(e10) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f60,plain,
( ( e21 != h11(e13)
& e21 != h11(e12)
& e21 != h11(e11)
& e21 != h11(e10) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f61,plain,
( ( e22 != h11(e13)
& e22 != h11(e12)
& e22 != h11(e11)
& e22 != h11(e10) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f62,plain,
( ( e20 != h12(e13)
& e20 != h12(e12)
& e20 != h12(e11)
& e20 != h12(e10) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f63,plain,
( ( e21 != h12(e13)
& e21 != h12(e12)
& e21 != h12(e11)
& e21 != h12(e10) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f64,plain,
( ( e22 != h12(e13)
& e22 != h12(e12)
& e22 != h12(e11)
& e22 != h12(e10) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f65,plain,
( ( ( e23 != h12(e13)
& e23 != h12(e12)
& e23 != h12(e11)
& e23 != h12(e10) )
| sP35
| sP34
| sP33
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) )
& ( ( e23 != h11(e13)
& e23 != h11(e12)
& e23 != h11(e11)
& e23 != h11(e10) )
| sP32
| sP31
| sP30
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e10)) != op2(h11(e10),h11(e10)) )
& ( ( e23 != h10(e13)
& e23 != h10(e12)
& e23 != h10(e11)
& e23 != h10(e10) )
| sP29
| sP28
| sP27
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e10)) != op2(h10(e10),h10(e10)) )
& ( ( e23 != h9(e13)
& e23 != h9(e12)
& e23 != h9(e11)
& e23 != h9(e10) )
| sP26
| sP25
| sP24
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) )
& ( ( e23 != h8(e13)
& e23 != h8(e12)
& e23 != h8(e11)
& e23 != h8(e10) )
| sP23
| sP22
| sP21
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e10)) != op2(h8(e10),h8(e10)) )
& ( ( e23 != h7(e13)
& e23 != h7(e12)
& e23 != h7(e11)
& e23 != h7(e10) )
| sP20
| sP19
| sP18
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e10)) != op2(h7(e10),h7(e10)) )
& ( ( e23 != h6(e13)
& e23 != h6(e12)
& e23 != h6(e11)
& e23 != h6(e10) )
| sP17
| sP16
| sP15
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e10)) != op2(h6(e10),h6(e10)) )
& ( ( e23 != h5(e13)
& e23 != h5(e12)
& e23 != h5(e11)
& e23 != h5(e10) )
| sP14
| sP13
| sP12
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
& ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP11
| sP10
| sP9
| 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) )
| sP8
| sP7
| sP6
| 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) )
| sP5
| sP4
| sP3
| 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) )
| sP2
| sP1
| sP0
| 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,[],[f28,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]) ).
fof(f66,plain,
( ( e22 != h12(e13)
& e22 != h12(e12)
& e22 != h12(e11)
& e22 != h12(e10) )
| ~ sP35 ),
inference(nnf_transformation,[],[f64]) ).
fof(f67,plain,
( ( e21 != h12(e13)
& e21 != h12(e12)
& e21 != h12(e11)
& e21 != h12(e10) )
| ~ sP34 ),
inference(nnf_transformation,[],[f63]) ).
fof(f68,plain,
( ( e20 != h12(e13)
& e20 != h12(e12)
& e20 != h12(e11)
& e20 != h12(e10) )
| ~ sP33 ),
inference(nnf_transformation,[],[f62]) ).
fof(f102,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f107,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f112,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f113,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f117,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f121,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f122,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f123,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f124,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f126,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f127,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f130,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f132,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f133,plain,
( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f150,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f155,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f160,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f161,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f165,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f169,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f171,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f172,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f174,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f175,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f178,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f180,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f181,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f185,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f211,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f219,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f228,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f235,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f238,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f259,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f267,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f268,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f276,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f283,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f286,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f294,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f295,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f296,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f297,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f298,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f299,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f300,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f301,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f302,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f303,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f304,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f305,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f322,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f10]) ).
fof(f323,plain,
e11 = op1(e11,e11),
inference(cnf_transformation,[],[f10]) ).
fof(f324,plain,
e12 = op1(e12,e12),
inference(cnf_transformation,[],[f10]) ).
fof(f325,plain,
e13 = op1(e13,e13),
inference(cnf_transformation,[],[f10]) ).
fof(f326,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f11]) ).
fof(f327,plain,
e21 = op2(e21,e21),
inference(cnf_transformation,[],[f11]) ).
fof(f328,plain,
e22 = op2(e22,e22),
inference(cnf_transformation,[],[f11]) ).
fof(f329,plain,
e23 = op2(e23,e23),
inference(cnf_transformation,[],[f11]) ).
fof(f330,plain,
e10 = op1(e12,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f331,plain,
e11 = op1(op1(e12,e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f332,plain,
e20 = op2(e22,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f333,plain,
e21 = op2(op2(e22,e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f336,plain,
op2(e20,e21) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f337,plain,
h1(e11) = op2(op2(e20,e21),e21),
inference(cnf_transformation,[],[f14]) ).
fof(f340,plain,
op2(e20,e22) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f341,plain,
h2(e11) = op2(op2(e20,e22),e22),
inference(cnf_transformation,[],[f15]) ).
fof(f344,plain,
op2(e20,e23) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f345,plain,
h3(e11) = op2(op2(e20,e23),e23),
inference(cnf_transformation,[],[f16]) ).
fof(f348,plain,
op2(e21,e20) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f349,plain,
h4(e11) = op2(op2(e21,e20),e20),
inference(cnf_transformation,[],[f17]) ).
fof(f352,plain,
op2(e21,e22) = h5(e10),
inference(cnf_transformation,[],[f18]) ).
fof(f356,plain,
op2(e21,e23) = h6(e10),
inference(cnf_transformation,[],[f19]) ).
fof(f360,plain,
op2(e22,e20) = h7(e10),
inference(cnf_transformation,[],[f20]) ).
fof(f364,plain,
op2(e22,e21) = h8(e10),
inference(cnf_transformation,[],[f21]) ).
fof(f372,plain,
op2(e23,e20) = h10(e10),
inference(cnf_transformation,[],[f23]) ).
fof(f376,plain,
op2(e23,e21) = h11(e10),
inference(cnf_transformation,[],[f24]) ).
fof(f378,plain,
e23 = h12(e12),
inference(cnf_transformation,[],[f25]) ).
fof(f379,plain,
e22 = h12(e13),
inference(cnf_transformation,[],[f25]) ).
fof(f380,plain,
op2(e23,e22) = h12(e10),
inference(cnf_transformation,[],[f25]) ).
fof(f381,plain,
h12(e11) = op2(op2(e23,e22),e22),
inference(cnf_transformation,[],[f25]) ).
fof(f385,plain,
( e22 != h12(e13)
| ~ sP35 ),
inference(cnf_transformation,[],[f66]) ).
fof(f386,plain,
( e21 != h12(e10)
| ~ sP34 ),
inference(cnf_transformation,[],[f67]) ).
fof(f391,plain,
( e20 != h12(e11)
| ~ sP33 ),
inference(cnf_transformation,[],[f68]) ).
fof(f570,plain,
( e23 != h12(e10)
| sP35
| sP34
| sP33
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f572,plain,
( e23 != h12(e12)
| sP35
| sP34
| sP33
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_49,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_53,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_54,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_59,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_64,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_77,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_81,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_82,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_84,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_87,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_88,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_90,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_91,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_92,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_93,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_97,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_101,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_102,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_107,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_112,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_125,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_129,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_130,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_132,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_135,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f175]) ).
cnf(c_136,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_138,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_139,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_140,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_141,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f169]) ).
cnf(c_152,plain,
op1(e12,e13) != op1(e12,e11),
inference(cnf_transformation,[],[f238]) ).
cnf(c_155,plain,
op1(e12,e12) != op1(e12,e10),
inference(cnf_transformation,[],[f235]) ).
cnf(c_162,plain,
op1(e11,e11) != op1(e11,e10),
inference(cnf_transformation,[],[f228]) ).
cnf(c_170,plain,
op1(e13,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f220]) ).
cnf(c_171,plain,
op1(e12,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f219]) ).
cnf(c_179,plain,
op1(e12,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f211]) ).
cnf(c_192,plain,
op1(e11,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f198]) ).
cnf(c_200,plain,
op2(e22,e23) != op2(e22,e21),
inference(cnf_transformation,[],[f286]) ).
cnf(c_203,plain,
op2(e22,e22) != op2(e22,e20),
inference(cnf_transformation,[],[f283]) ).
cnf(c_210,plain,
op2(e21,e21) != op2(e21,e20),
inference(cnf_transformation,[],[f276]) ).
cnf(c_218,plain,
op2(e23,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f268]) ).
cnf(c_219,plain,
op2(e22,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f267]) ).
cnf(c_227,plain,
op2(e22,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f259]) ).
cnf(c_240,plain,
op2(e21,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f246]) ).
cnf(c_241,plain,
e13 != e12,
inference(cnf_transformation,[],[f299]) ).
cnf(c_242,plain,
e13 != e11,
inference(cnf_transformation,[],[f298]) ).
cnf(c_243,plain,
e12 != e11,
inference(cnf_transformation,[],[f297]) ).
cnf(c_244,plain,
e13 != e10,
inference(cnf_transformation,[],[f296]) ).
cnf(c_245,plain,
e12 != e10,
inference(cnf_transformation,[],[f295]) ).
cnf(c_246,plain,
e11 != e10,
inference(cnf_transformation,[],[f294]) ).
cnf(c_247,plain,
e23 != e22,
inference(cnf_transformation,[],[f305]) ).
cnf(c_248,plain,
e23 != e21,
inference(cnf_transformation,[],[f304]) ).
cnf(c_249,plain,
e22 != e21,
inference(cnf_transformation,[],[f303]) ).
cnf(c_250,plain,
e23 != e20,
inference(cnf_transformation,[],[f302]) ).
cnf(c_251,plain,
e22 != e20,
inference(cnf_transformation,[],[f301]) ).
cnf(c_252,plain,
e21 != e20,
inference(cnf_transformation,[],[f300]) ).
cnf(c_269,plain,
op1(e13,e13) = e13,
inference(cnf_transformation,[],[f325]) ).
cnf(c_270,plain,
op1(e12,e12) = e12,
inference(cnf_transformation,[],[f324]) ).
cnf(c_271,plain,
op1(e11,e11) = e11,
inference(cnf_transformation,[],[f323]) ).
cnf(c_272,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[],[f322]) ).
cnf(c_273,plain,
op2(e23,e23) = e23,
inference(cnf_transformation,[],[f329]) ).
cnf(c_274,plain,
op2(e22,e22) = e22,
inference(cnf_transformation,[],[f328]) ).
cnf(c_275,plain,
op2(e21,e21) = e21,
inference(cnf_transformation,[],[f327]) ).
cnf(c_276,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[],[f326]) ).
cnf(c_277,plain,
op1(op1(e12,e13),e13) = e11,
inference(cnf_transformation,[],[f331]) ).
cnf(c_278,plain,
op1(e12,e13) = e10,
inference(cnf_transformation,[],[f330]) ).
cnf(c_279,plain,
op2(op2(e22,e23),e23) = e21,
inference(cnf_transformation,[],[f333]) ).
cnf(c_280,plain,
op2(e22,e23) = e20,
inference(cnf_transformation,[],[f332]) ).
cnf(c_281,plain,
op2(op2(e20,e21),e21) = h1(e11),
inference(cnf_transformation,[],[f337]) ).
cnf(c_282,plain,
op2(e20,e21) = h1(e10),
inference(cnf_transformation,[],[f336]) ).
cnf(c_285,plain,
op2(op2(e20,e22),e22) = h2(e11),
inference(cnf_transformation,[],[f341]) ).
cnf(c_286,plain,
op2(e20,e22) = h2(e10),
inference(cnf_transformation,[],[f340]) ).
cnf(c_289,plain,
op2(op2(e20,e23),e23) = h3(e11),
inference(cnf_transformation,[],[f345]) ).
cnf(c_290,plain,
op2(e20,e23) = h3(e10),
inference(cnf_transformation,[],[f344]) ).
cnf(c_293,plain,
op2(op2(e21,e20),e20) = h4(e11),
inference(cnf_transformation,[],[f349]) ).
cnf(c_294,plain,
op2(e21,e20) = h4(e10),
inference(cnf_transformation,[],[f348]) ).
cnf(c_298,plain,
op2(e21,e22) = h5(e10),
inference(cnf_transformation,[],[f352]) ).
cnf(c_302,plain,
op2(e21,e23) = h6(e10),
inference(cnf_transformation,[],[f356]) ).
cnf(c_306,plain,
op2(e22,e20) = h7(e10),
inference(cnf_transformation,[],[f360]) ).
cnf(c_310,plain,
op2(e22,e21) = h8(e10),
inference(cnf_transformation,[],[f364]) ).
cnf(c_318,plain,
op2(e23,e20) = h10(e10),
inference(cnf_transformation,[],[f372]) ).
cnf(c_322,plain,
op2(e23,e21) = h11(e10),
inference(cnf_transformation,[],[f376]) ).
cnf(c_325,plain,
op2(op2(e23,e22),e22) = h12(e11),
inference(cnf_transformation,[],[f381]) ).
cnf(c_326,plain,
op2(e23,e22) = h12(e10),
inference(cnf_transformation,[],[f380]) ).
cnf(c_327,plain,
h12(e13) = e22,
inference(cnf_transformation,[],[f379]) ).
cnf(c_328,plain,
h12(e12) = e23,
inference(cnf_transformation,[],[f378]) ).
cnf(c_329,plain,
( h12(e13) != e22
| ~ sP35 ),
inference(cnf_transformation,[],[f385]) ).
cnf(c_336,plain,
( h12(e10) != e21
| ~ sP34 ),
inference(cnf_transformation,[],[f386]) ).
cnf(c_339,plain,
( h12(e11) != e20
| ~ sP33 ),
inference(cnf_transformation,[],[f391]) ).
cnf(c_474,negated_conjecture,
( op2(h12(e13),h12(e13)) != h12(op1(e13,e13))
| op2(h12(e13),h12(e12)) != h12(op1(e13,e12))
| op2(h12(e13),h12(e11)) != h12(op1(e13,e11))
| op2(h12(e13),h12(e10)) != h12(op1(e13,e10))
| op2(h12(e12),h12(e13)) != h12(op1(e12,e13))
| op2(h12(e12),h12(e12)) != h12(op1(e12,e12))
| op2(h12(e12),h12(e11)) != h12(op1(e12,e11))
| op2(h12(e12),h12(e10)) != h12(op1(e12,e10))
| op2(h12(e11),h12(e13)) != h12(op1(e11,e13))
| op2(h12(e11),h12(e12)) != h12(op1(e11,e12))
| op2(h12(e11),h12(e11)) != h12(op1(e11,e11))
| op2(h12(e11),h12(e10)) != h12(op1(e11,e10))
| op2(h12(e10),h12(e13)) != h12(op1(e10,e13))
| op2(h12(e10),h12(e12)) != h12(op1(e10,e12))
| op2(h12(e10),h12(e11)) != h12(op1(e10,e11))
| op2(h12(e10),h12(e10)) != h12(op1(e10,e10))
| h12(e12) != e23
| sP35
| sP34
| sP33 ),
inference(cnf_transformation,[],[f572]) ).
cnf(c_476,negated_conjecture,
( op2(h12(e13),h12(e13)) != h12(op1(e13,e13))
| op2(h12(e13),h12(e12)) != h12(op1(e13,e12))
| op2(h12(e13),h12(e11)) != h12(op1(e13,e11))
| op2(h12(e13),h12(e10)) != h12(op1(e13,e10))
| op2(h12(e12),h12(e13)) != h12(op1(e12,e13))
| op2(h12(e12),h12(e12)) != h12(op1(e12,e12))
| op2(h12(e12),h12(e11)) != h12(op1(e12,e11))
| op2(h12(e12),h12(e10)) != h12(op1(e12,e10))
| op2(h12(e11),h12(e13)) != h12(op1(e11,e13))
| op2(h12(e11),h12(e12)) != h12(op1(e11,e12))
| op2(h12(e11),h12(e11)) != h12(op1(e11,e11))
| op2(h12(e11),h12(e10)) != h12(op1(e11,e10))
| op2(h12(e10),h12(e13)) != h12(op1(e10,e13))
| op2(h12(e10),h12(e12)) != h12(op1(e10,e12))
| op2(h12(e10),h12(e11)) != h12(op1(e10,e11))
| op2(h12(e10),h12(e10)) != h12(op1(e10,e10))
| h12(e10) != e23
| sP35
| sP34
| sP33 ),
inference(cnf_transformation,[],[f570]) ).
cnf(c_685,plain,
op2(e20,e20) = e20,
inference(global_subsumption_just,[status(thm)],[c_112,c_276]) ).
cnf(c_687,plain,
op2(e21,e21) = e21,
inference(global_subsumption_just,[status(thm)],[c_107,c_275]) ).
cnf(c_689,plain,
op2(e22,e22) = e22,
inference(global_subsumption_just,[status(thm)],[c_102,c_274]) ).
cnf(c_691,plain,
op2(e22,e23) = e20,
inference(global_subsumption_just,[status(thm)],[c_101,c_280]) ).
cnf(c_693,plain,
op2(e23,e23) = e23,
inference(global_subsumption_just,[status(thm)],[c_97,c_273]) ).
cnf(c_715,plain,
op1(e10,e10) = e10,
inference(global_subsumption_just,[status(thm)],[c_64,c_272]) ).
cnf(c_717,plain,
op1(e11,e11) = e11,
inference(global_subsumption_just,[status(thm)],[c_59,c_271]) ).
cnf(c_719,plain,
op1(e12,e12) = e12,
inference(global_subsumption_just,[status(thm)],[c_54,c_270]) ).
cnf(c_721,plain,
op1(e12,e13) = e10,
inference(global_subsumption_just,[status(thm)],[c_53,c_278]) ).
cnf(c_723,plain,
op1(e13,e13) = e13,
inference(global_subsumption_just,[status(thm)],[c_49,c_269]) ).
cnf(c_813,negated_conjecture,
( op2(h12(e13),h12(e13)) != h12(op1(e13,e13))
| op2(h12(e13),h12(e12)) != h12(op1(e13,e12))
| op2(h12(e13),h12(e11)) != h12(op1(e13,e11))
| op2(h12(e13),h12(e10)) != h12(op1(e13,e10))
| op2(h12(e12),h12(e13)) != h12(op1(e12,e13))
| op2(h12(e12),h12(e12)) != h12(op1(e12,e12))
| op2(h12(e12),h12(e11)) != h12(op1(e12,e11))
| op2(h12(e12),h12(e10)) != h12(op1(e12,e10))
| op2(h12(e11),h12(e13)) != h12(op1(e11,e13))
| op2(h12(e11),h12(e12)) != h12(op1(e11,e12))
| op2(h12(e11),h12(e11)) != h12(op1(e11,e11))
| op2(h12(e11),h12(e10)) != h12(op1(e11,e10))
| op2(h12(e10),h12(e13)) != h12(op1(e10,e13))
| op2(h12(e10),h12(e12)) != h12(op1(e10,e12))
| op2(h12(e10),h12(e11)) != h12(op1(e10,e11))
| op2(h12(e10),h12(e10)) != h12(op1(e10,e10))
| sP34
| sP33 ),
inference(global_subsumption_just,[status(thm)],[c_476,c_328,c_327,c_329,c_474]) ).
cnf(c_817,negated_conjecture,
( op2(h12(e13),h12(e13)) != h12(op1(e13,e13))
| op2(h12(e13),h12(e12)) != h12(op1(e13,e12))
| op2(h12(e13),h12(e11)) != h12(op1(e13,e11))
| op2(h12(e13),h12(e10)) != h12(op1(e13,e10))
| op2(h12(e12),h12(e13)) != h12(op1(e12,e13))
| op2(h12(e12),h12(e12)) != h12(op1(e12,e12))
| op2(h12(e12),h12(e11)) != h12(op1(e12,e11))
| op2(h12(e12),h12(e10)) != h12(op1(e12,e10))
| op2(h12(e11),h12(e13)) != h12(op1(e11,e13))
| op2(h12(e11),h12(e12)) != h12(op1(e11,e12))
| op2(h12(e11),h12(e11)) != h12(op1(e11,e11))
| op2(h12(e11),h12(e10)) != h12(op1(e11,e10))
| op2(h12(e10),h12(e13)) != h12(op1(e10,e13))
| op2(h12(e10),h12(e12)) != h12(op1(e10,e12))
| op2(h12(e10),h12(e11)) != h12(op1(e10,e11))
| op2(h12(e10),h12(e10)) != h12(op1(e10,e10))
| sP34
| sP33 ),
inference(global_subsumption_just,[status(thm)],[c_474,c_813]) ).
cnf(c_3289,plain,
h3(e10) = e21,
inference(light_normalisation,[status(thm)],[c_279,c_691,c_290]) ).
cnf(c_3292,plain,
op2(e20,e23) = e21,
inference(demodulation,[status(thm)],[c_290,c_3289]) ).
cnf(c_3294,plain,
op1(e10,e13) = e11,
inference(light_normalisation,[status(thm)],[c_277,c_721]) ).
cnf(c_3295,plain,
op2(h12(e10),e22) = h12(e11),
inference(light_normalisation,[status(thm)],[c_325,c_326]) ).
cnf(c_3305,plain,
op2(h4(e10),e20) = h4(e11),
inference(light_normalisation,[status(thm)],[c_293,c_294]) ).
cnf(c_3306,plain,
h3(e11) = h6(e10),
inference(light_normalisation,[status(thm)],[c_289,c_302,c_3292]) ).
cnf(c_3310,plain,
op2(e21,e23) = h3(e11),
inference(demodulation,[status(thm)],[c_302,c_3306]) ).
cnf(c_3319,plain,
op2(h2(e10),e22) = h2(e11),
inference(light_normalisation,[status(thm)],[c_285,c_286]) ).
cnf(c_3320,plain,
op2(h1(e10),e21) = h1(e11),
inference(light_normalisation,[status(thm)],[c_281,c_282]) ).
cnf(c_3321,plain,
h4(e10) != e20,
inference(light_normalisation,[status(thm)],[c_240,c_685,c_294]) ).
cnf(c_3334,plain,
h2(e10) != e22,
inference(light_normalisation,[status(thm)],[c_227,c_689,c_286]) ).
cnf(c_3342,plain,
h3(e11) != e20,
inference(light_normalisation,[status(thm)],[c_219,c_691,c_3310]) ).
cnf(c_3343,plain,
h3(e11) != e23,
inference(light_normalisation,[status(thm)],[c_218,c_693,c_3310]) ).
cnf(c_3351,plain,
h4(e10) != e21,
inference(light_normalisation,[status(thm)],[c_210,c_687,c_294]) ).
cnf(c_3358,plain,
h7(e10) != e22,
inference(light_normalisation,[status(thm)],[c_203,c_689,c_306]) ).
cnf(c_3361,plain,
h8(e10) != e20,
inference(light_normalisation,[status(thm)],[c_200,c_691,c_310]) ).
cnf(c_3369,plain,
op1(e11,e10) != e10,
inference(light_normalisation,[status(thm)],[c_192,c_715]) ).
cnf(c_3375,plain,
op1(e10,e12) != e12,
inference(light_normalisation,[status(thm)],[c_179,c_719]) ).
cnf(c_3381,plain,
op1(e11,e13) != e10,
inference(light_normalisation,[status(thm)],[c_171,c_721]) ).
cnf(c_3382,plain,
op1(e11,e13) != e13,
inference(light_normalisation,[status(thm)],[c_170,c_723]) ).
cnf(c_3389,plain,
op1(e11,e10) != e11,
inference(light_normalisation,[status(thm)],[c_162,c_717]) ).
cnf(c_3392,plain,
op1(e12,e10) != e12,
inference(light_normalisation,[status(thm)],[c_155,c_719]) ).
cnf(c_3395,plain,
op1(e12,e11) != e10,
inference(light_normalisation,[status(thm)],[c_152,c_721]) ).
cnf(c_3400,plain,
( h4(e10) = e21
| h7(e10) = e21
| h10(e10) = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_141,c_685,c_294,c_306,c_318]) ).
cnf(c_3401,plain,
( h7(e10) = e21
| h10(e10) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3400,c_252,c_3351]) ).
cnf(c_3406,plain,
( h1(e10) = e22
| h2(e10) = e22
| e22 = e21
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_140,c_685,c_282,c_286,c_3292]) ).
cnf(c_3407,plain,
h1(e10) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_3406,c_251,c_249,c_3334]) ).
cnf(c_3413,plain,
op2(e22,e21) = h1(e11),
inference(demodulation,[status(thm)],[c_3320,c_3407]) ).
cnf(c_3415,plain,
op2(e20,e21) = e22,
inference(demodulation,[status(thm)],[c_282,c_3407]) ).
cnf(c_3417,plain,
h1(e11) = h8(e10),
inference(light_normalisation,[status(thm)],[c_3413,c_310]) ).
cnf(c_3418,plain,
h1(e11) != e20,
inference(demodulation,[status(thm)],[c_3361,c_3417]) ).
cnf(c_3424,plain,
op2(e22,e21) = h1(e11),
inference(demodulation,[status(thm)],[c_310,c_3417]) ).
cnf(c_3425,plain,
( h4(e10) = e22
| h7(e10) = e22
| h10(e10) = e22
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_139,c_685,c_294,c_306,c_318]) ).
cnf(c_3426,plain,
( h4(e10) = e22
| h10(e10) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3425,c_251,c_3358]) ).
cnf(c_3431,plain,
( h2(e10) = e23
| e23 = e22
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_138,c_685,c_286,c_3292,c_3415]) ).
cnf(c_3432,plain,
h2(e10) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3431,c_250,c_248,c_247]) ).
cnf(c_3438,plain,
op2(e23,e22) = h2(e11),
inference(demodulation,[status(thm)],[c_3319,c_3432]) ).
cnf(c_3439,plain,
op2(e20,e22) = e23,
inference(demodulation,[status(thm)],[c_286,c_3432]) ).
cnf(c_3440,plain,
h2(e11) = h12(e10),
inference(light_normalisation,[status(thm)],[c_3438,c_326]) ).
cnf(c_3446,plain,
op2(h2(e11),e22) = h12(e11),
inference(demodulation,[status(thm)],[c_3295,c_3440]) ).
cnf(c_3447,plain,
( h2(e11) != e21
| ~ sP34 ),
inference(demodulation,[status(thm)],[c_336,c_3440]) ).
cnf(c_3449,plain,
op2(e23,e22) = h2(e11),
inference(demodulation,[status(thm)],[c_326,c_3440]) ).
cnf(c_3464,plain,
( h3(e11) = e20
| h4(e10) = e20
| h5(e10) = e20
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_136,c_687,c_294,c_298,c_3310]) ).
cnf(c_3465,plain,
h5(e10) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_3464,c_252,c_3321,c_3342]) ).
cnf(c_3474,plain,
op2(e21,e22) = e20,
inference(demodulation,[status(thm)],[c_298,c_3465]) ).
cnf(c_3477,plain,
( h1(e11) = e20
| h11(e10) = e20
| e22 = e20
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_135,c_687,c_322,c_3424,c_3415]) ).
cnf(c_3478,plain,
h11(e10) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_3477,c_252,c_251,c_3418]) ).
cnf(c_3487,plain,
op2(e23,e21) = e20,
inference(demodulation,[status(thm)],[c_322,c_3478]) ).
cnf(c_3492,plain,
( h3(e11) = e22
| h4(e10) = e22
| e22 = e21
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_132,c_687,c_294,c_3310,c_3474]) ).
cnf(c_3493,plain,
( h3(e11) = e22
| h4(e10) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3492,c_251,c_249]) ).
cnf(c_3498,plain,
( h3(e11) = e23
| h4(e10) = e23
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_130,c_687,c_294,c_3310,c_3474]) ).
cnf(c_3499,plain,
h4(e10) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3498,c_250,c_248,c_3343]) ).
cnf(c_3500,plain,
( h3(e11) = e22
| e23 = e22 ),
inference(demodulation,[status(thm)],[c_3493,c_3499]) ).
cnf(c_3501,plain,
( h10(e10) = e22
| e23 = e22 ),
inference(demodulation,[status(thm)],[c_3426,c_3499]) ).
cnf(c_3507,plain,
op2(e23,e20) = h4(e11),
inference(demodulation,[status(thm)],[c_3305,c_3499]) ).
cnf(c_3509,plain,
op2(e21,e20) = e23,
inference(demodulation,[status(thm)],[c_294,c_3499]) ).
cnf(c_3510,plain,
h4(e11) = h10(e10),
inference(light_normalisation,[status(thm)],[c_3507,c_318]) ).
cnf(c_3512,plain,
( h4(e11) = e21
| h7(e10) = e21 ),
inference(demodulation,[status(thm)],[c_3401,c_3510]) ).
cnf(c_3519,plain,
op2(e23,e20) = h4(e11),
inference(demodulation,[status(thm)],[c_318,c_3510]) ).
cnf(c_3532,plain,
( h4(e11) = e22
| e23 = e22 ),
inference(light_normalisation,[status(thm)],[c_3501,c_3510]) ).
cnf(c_3533,plain,
h4(e11) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_3532,c_247]) ).
cnf(c_3535,plain,
( h7(e10) = e21
| e22 = e21 ),
inference(demodulation,[status(thm)],[c_3512,c_3533]) ).
cnf(c_3542,plain,
op2(e23,e20) = e22,
inference(demodulation,[status(thm)],[c_3519,c_3533]) ).
cnf(c_3553,plain,
h7(e10) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_3535,c_249]) ).
cnf(c_3562,plain,
op2(e22,e20) = e21,
inference(demodulation,[status(thm)],[c_306,c_3553]) ).
cnf(c_3566,plain,
h3(e11) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_3500,c_247]) ).
cnf(c_3572,plain,
op2(e21,e23) = e22,
inference(demodulation,[status(thm)],[c_3310,c_3566]) ).
cnf(c_3580,plain,
( h1(e11) = e23
| e23 = e22
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_129,c_687,c_3424,c_3415,c_3487]) ).
cnf(c_3581,plain,
h1(e11) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3580,c_250,c_248,c_247]) ).
cnf(c_3586,plain,
op2(e22,e21) = e23,
inference(demodulation,[status(thm)],[c_3424,c_3581]) ).
cnf(c_3591,plain,
( h2(e11) = e21
| e23 = e21
| e22 = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_125,c_689,c_3449,c_3439,c_3474]) ).
cnf(c_3592,plain,
h2(e11) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_3591,c_252,c_249,c_248]) ).
cnf(c_3596,plain,
op2(e21,e22) = h12(e11),
inference(demodulation,[status(thm)],[c_3446,c_3592]) ).
cnf(c_3597,plain,
( e21 != e21
| ~ sP34 ),
inference(demodulation,[status(thm)],[c_3447,c_3592]) ).
cnf(c_3598,plain,
op2(e23,e22) = e21,
inference(demodulation,[status(thm)],[c_3449,c_3592]) ).
cnf(c_3599,plain,
h12(e10) = e21,
inference(demodulation,[status(thm)],[c_3440,c_3592]) ).
cnf(c_3602,plain,
~ sP34,
inference(equality_resolution_simp,[status(thm)],[c_3597]) ).
cnf(c_3603,plain,
h12(e11) = e20,
inference(light_normalisation,[status(thm)],[c_3596,c_3474]) ).
cnf(c_3604,plain,
( e20 != e20
| ~ sP33 ),
inference(demodulation,[status(thm)],[c_339,c_3603]) ).
cnf(c_3605,plain,
~ sP33,
inference(equality_resolution_simp,[status(thm)],[c_3604]) ).
cnf(c_3606,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_93,c_715]) ).
cnf(c_3607,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3606,c_246,c_3389]) ).
cnf(c_3610,plain,
( op1(e10,e12) = e12
| op1(e10,e11) = e12
| e12 = e11
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_92,c_715,c_3294]) ).
cnf(c_3611,plain,
op1(e10,e11) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3610,c_245,c_243,c_3375]) ).
cnf(c_3617,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_91,c_715]) ).
cnf(c_3618,plain,
( op1(e13,e10) = e12
| op1(e11,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3617,c_245,c_3392]) ).
cnf(c_3623,plain,
( op1(e10,e12) = e13
| e13 = e12
| e13 = e11
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_90,c_715,c_3294,c_3611]) ).
cnf(c_3624,plain,
op1(e10,e12) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3623,c_244,c_242,c_241]) ).
cnf(c_3636,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e10) = e10
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_88,c_717]) ).
cnf(c_3637,plain,
op1(e11,e12) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_3636,c_246,c_3369,c_3381]) ).
cnf(c_3644,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| e12 = e10
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_87,c_717,c_3611]) ).
cnf(c_3645,plain,
op1(e13,e11) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_3644,c_246,c_245,c_3395]) ).
cnf(c_3652,plain,
( op1(e11,e13) = e12
| op1(e11,e10) = e12
| e12 = e11
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_84,c_717,c_3637]) ).
cnf(c_3653,plain,
( op1(e11,e13) = e12
| op1(e11,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3652,c_245,c_243]) ).
cnf(c_3658,plain,
( op1(e11,e13) = e13
| op1(e11,e10) = e13
| e13 = e11
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_82,c_717,c_3637]) ).
cnf(c_3659,plain,
op1(e11,e10) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3658,c_244,c_242,c_3382]) ).
cnf(c_3660,plain,
( op1(e11,e13) = e12
| e13 = e12 ),
inference(demodulation,[status(thm)],[c_3653,c_3659]) ).
cnf(c_3662,plain,
( op1(e13,e10) = e12
| e13 = e12 ),
inference(demodulation,[status(thm)],[c_3618,c_3659]) ).
cnf(c_3668,plain,
op1(e13,e10) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3662,c_241]) ).
cnf(c_3669,plain,
( op1(e12,e10) = e11
| e12 = e11 ),
inference(demodulation,[status(thm)],[c_3607,c_3668]) ).
cnf(c_3674,plain,
op1(e12,e10) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3669,c_243]) ).
cnf(c_3679,plain,
op1(e11,e13) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3660,c_241]) ).
cnf(c_3683,plain,
( op1(e12,e11) = e13
| e13 = e12
| e13 = e11
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_81,c_717,c_3611,c_3645]) ).
cnf(c_3684,plain,
op1(e12,e11) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3683,c_244,c_242,c_241]) ).
cnf(c_3688,plain,
( op1(e13,e12) = e11
| e13 = e11
| e12 = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_77,c_719,c_3624,c_3637]) ).
cnf(c_3689,plain,
op1(e13,e12) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3688,c_246,c_243,c_242]) ).
cnf(c_3693,plain,
( e23 != e23
| e22 != e22
| e21 != e21
| e20 != e20
| sP34
| sP33 ),
inference(light_normalisation,[status(thm)],[c_817,c_723,c_719,c_717,c_715,c_693,c_689,c_687,c_685,c_721,c_691,c_327,c_328,c_3292,c_3294,c_3415,c_3439,c_3474,c_3487,c_3509,c_3542,c_3562,c_3572,c_3586,c_3598,c_3599,c_3603,c_3611,c_3624,c_3637,c_3645,c_3659,c_3668,c_3674,c_3679,c_3684,c_3689]) ).
cnf(c_3694,plain,
( sP34
| sP33 ),
inference(equality_resolution_simp,[status(thm)],[c_3693]) ).
cnf(c_3695,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3694,c_3605,c_3602]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : ALG113+1 : TPTP v8.1.2. Released v2.7.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n007.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 22:37:35 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 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
% 3.19/1.11 % SZS status Started for theBenchmark.p
% 3.19/1.11 % SZS status Theorem for theBenchmark.p
% 3.19/1.11
% 3.19/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.19/1.11
% 3.19/1.11 ------ iProver source info
% 3.19/1.11
% 3.19/1.11 git: date: 2024-05-02 19:28:25 +0000
% 3.19/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.19/1.11 git: non_committed_changes: false
% 3.19/1.11
% 3.19/1.11 ------ Parsing...
% 3.19/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.19/1.11
% 3.19/1.11 ------ Preprocessing...
% 3.19/1.11
% 3.19/1.11 % SZS status Theorem for theBenchmark.p
% 3.19/1.11
% 3.19/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.19/1.12
% 3.19/1.12
%------------------------------------------------------------------------------