TSTP Solution File: ALG105+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG105+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 02:03:43 EDT 2024
% Result : Theorem 5.54s 1.66s
% Output : CNFRefutation 5.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 67
% Syntax : Number of formulae : 373 ( 188 unt; 0 def)
% Number of atoms : 2933 (2777 equ)
% Maximal formula atoms : 384 ( 7 avg)
% Number of connectives : 3695 (1135 ~;1421 |;1139 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 44 ( 42 usr; 43 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/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( ( op1(e13,e13) = op1(e13,op1(e13,e13))
& op1(e12,e13) = op1(e13,op1(e12,e13))
& op1(e11,e13) = op1(e13,op1(e11,e13))
& op1(e10,e13) = op1(e13,op1(e10,e13)) )
| ( op1(e13,e12) = op1(e12,op1(e13,e12))
& op1(e12,e12) = op1(e12,op1(e12,e12))
& op1(e11,e12) = op1(e12,op1(e11,e12))
& op1(e10,e12) = op1(e12,op1(e10,e12)) )
| ( op1(e13,e11) = op1(e11,op1(e13,e11))
& op1(e12,e11) = op1(e11,op1(e12,e11))
& op1(e11,e11) = op1(e11,op1(e11,e11))
& op1(e10,e11) = op1(e11,op1(e10,e11)) )
| ( op1(e13,e10) = op1(e10,op1(e13,e10))
& op1(e12,e10) = op1(e10,op1(e12,e10))
& op1(e11,e10) = op1(e10,op1(e11,e10))
& op1(e10,e10) = op1(e10,op1(e10,e10)) ) )
& e13 = op1(op1(e13,e13),e13)
& e12 = op1(op1(e13,e12),e13)
& e11 = op1(op1(e13,e11),e13)
& e10 = op1(op1(e13,e10),e13)
& e13 = op1(op1(e12,e13),e12)
& e12 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e11),e12)
& e10 = op1(op1(e12,e10),e12)
& e13 = op1(op1(e11,e13),e11)
& e12 = op1(op1(e11,e12),e11)
& e11 = op1(op1(e11,e11),e11)
& e10 = op1(op1(e11,e10),e11)
& e13 = op1(op1(e10,e13),e10)
& e12 = op1(op1(e10,e12),e10)
& e11 = op1(op1(e10,e11),e10)
& e10 = op1(op1(e10,e10),e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( op2(e23,e23) = op2(e23,op2(e23,e23))
& op2(e22,e23) = op2(e23,op2(e22,e23))
& op2(e21,e23) = op2(e23,op2(e21,e23))
& op2(e20,e23) = op2(e23,op2(e20,e23)) )
| ( op2(e23,e22) = op2(e22,op2(e23,e22))
& op2(e22,e22) = op2(e22,op2(e22,e22))
& op2(e21,e22) = op2(e22,op2(e21,e22))
& op2(e20,e22) = op2(e22,op2(e20,e22)) )
| ( op2(e23,e21) = op2(e21,op2(e23,e21))
& op2(e22,e21) = op2(e21,op2(e22,e21))
& op2(e21,e21) = op2(e21,op2(e21,e21))
& op2(e20,e21) = op2(e21,op2(e20,e21)) )
| ( op2(e23,e20) = op2(e20,op2(e23,e20))
& op2(e22,e20) = op2(e20,op2(e22,e20))
& op2(e21,e20) = op2(e20,op2(e21,e20))
& op2(e20,e20) = op2(e20,op2(e20,e20)) ) )
& e23 = op2(op2(e23,e23),e23)
& e22 = op2(op2(e23,e22),e23)
& e21 = op2(op2(e23,e21),e23)
& e20 = op2(op2(e23,e20),e23)
& e23 = op2(op2(e22,e23),e22)
& e22 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e21),e22)
& e20 = op2(op2(e22,e20),e22)
& e23 = op2(op2(e21,e23),e21)
& e22 = op2(op2(e21,e22),e21)
& e21 = op2(op2(e21,e21),e21)
& e20 = op2(op2(e21,e20),e21)
& e23 = op2(op2(e20,e23),e20)
& e22 = op2(op2(e20,e22),e20)
& e21 = op2(op2(e20,e21),e20)
& e20 = op2(op2(e20,e20),e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e13 = op1(e12,e11)
& e10 = op1(op1(e12,e11),op1(e12,e11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e23 = op2(e22,e21)
& e20 = op2(op2(e22,e21),op2(e22,e21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( op2(e21,e20) = h1(e13)
& h1(e10) = op2(op2(e21,e20),op2(e21,e20))
& e21 = h1(e12)
& e20 = h1(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( op2(e22,e20) = h2(e13)
& h2(e10) = op2(op2(e22,e20),op2(e22,e20))
& e22 = h2(e12)
& e20 = h2(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( op2(e23,e20) = h3(e13)
& h3(e10) = op2(op2(e23,e20),op2(e23,e20))
& e23 = h3(e12)
& e20 = h3(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( op2(e20,e21) = h4(e13)
& h4(e10) = op2(op2(e20,e21),op2(e20,e21))
& e20 = h4(e12)
& e21 = h4(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
( op2(e22,e21) = h5(e13)
& op2(op2(e22,e21),op2(e22,e21)) = h5(e10)
& e22 = h5(e12)
& e21 = h5(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f19,axiom,
( op2(e23,e21) = h6(e13)
& h6(e10) = op2(op2(e23,e21),op2(e23,e21))
& e23 = h6(e12)
& e21 = h6(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f20,axiom,
( op2(e20,e22) = h7(e13)
& h7(e10) = op2(op2(e20,e22),op2(e20,e22))
& e20 = h7(e12)
& e22 = h7(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f21,axiom,
( op2(e21,e22) = h8(e13)
& h8(e10) = op2(op2(e21,e22),op2(e21,e22))
& e21 = h8(e12)
& e22 = h8(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f22,axiom,
( op2(e23,e22) = h9(e13)
& h9(e10) = op2(op2(e23,e22),op2(e23,e22))
& e23 = h9(e12)
& e22 = h9(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f23,axiom,
( op2(e20,e23) = h10(e13)
& h10(e10) = op2(op2(e20,e23),op2(e20,e23))
& e20 = h10(e12)
& e23 = h10(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f24,axiom,
( op2(e21,e23) = h11(e13)
& h11(e10) = op2(op2(e21,e23),op2(e21,e23))
& e21 = h11(e12)
& e23 = h11(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
( op2(e22,e23) = h12(e13)
& h12(e10) = op2(op2(e22,e23),op2(e22,e23))
& e22 = h12(e12)
& e23 = h12(e11) ),
file('/export/starexec/sandbox/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/sandbox/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,
( ( op1(e13,e10) = op1(e10,op1(e13,e10))
& op1(e12,e10) = op1(e10,op1(e12,e10))
& op1(e11,e10) = op1(e10,op1(e11,e10))
& op1(e10,e10) = op1(e10,op1(e10,e10)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f30,plain,
( ( op1(e13,e11) = op1(e11,op1(e13,e11))
& op1(e12,e11) = op1(e11,op1(e12,e11))
& op1(e11,e11) = op1(e11,op1(e11,e11))
& op1(e10,e11) = op1(e11,op1(e10,e11)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f31,plain,
( ( op1(e13,e12) = op1(e12,op1(e13,e12))
& op1(e12,e12) = op1(e12,op1(e12,e12))
& op1(e11,e12) = op1(e12,op1(e11,e12))
& op1(e10,e12) = op1(e12,op1(e10,e12)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f32,plain,
( ( ( op1(e13,e13) = op1(e13,op1(e13,e13))
& op1(e12,e13) = op1(e13,op1(e12,e13))
& op1(e11,e13) = op1(e13,op1(e11,e13))
& op1(e10,e13) = op1(e13,op1(e10,e13)) )
| sP2
| sP1
| sP0 )
& e13 = op1(op1(e13,e13),e13)
& e12 = op1(op1(e13,e12),e13)
& e11 = op1(op1(e13,e11),e13)
& e10 = op1(op1(e13,e10),e13)
& e13 = op1(op1(e12,e13),e12)
& e12 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e11),e12)
& e10 = op1(op1(e12,e10),e12)
& e13 = op1(op1(e11,e13),e11)
& e12 = op1(op1(e11,e12),e11)
& e11 = op1(op1(e11,e11),e11)
& e10 = op1(op1(e11,e10),e11)
& e13 = op1(op1(e10,e13),e10)
& e12 = op1(op1(e10,e12),e10)
& e11 = op1(op1(e10,e11),e10)
& e10 = op1(op1(e10,e10),e10) ),
inference(definition_folding,[],[f10,f31,f30,f29]) ).
fof(f33,plain,
( ( op2(e23,e20) = op2(e20,op2(e23,e20))
& op2(e22,e20) = op2(e20,op2(e22,e20))
& op2(e21,e20) = op2(e20,op2(e21,e20))
& op2(e20,e20) = op2(e20,op2(e20,e20)) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f34,plain,
( ( op2(e23,e21) = op2(e21,op2(e23,e21))
& op2(e22,e21) = op2(e21,op2(e22,e21))
& op2(e21,e21) = op2(e21,op2(e21,e21))
& op2(e20,e21) = op2(e21,op2(e20,e21)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f35,plain,
( ( op2(e23,e22) = op2(e22,op2(e23,e22))
& op2(e22,e22) = op2(e22,op2(e22,e22))
& op2(e21,e22) = op2(e22,op2(e21,e22))
& op2(e20,e22) = op2(e22,op2(e20,e22)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f36,plain,
( ( ( op2(e23,e23) = op2(e23,op2(e23,e23))
& op2(e22,e23) = op2(e23,op2(e22,e23))
& op2(e21,e23) = op2(e23,op2(e21,e23))
& op2(e20,e23) = op2(e23,op2(e20,e23)) )
| sP5
| sP4
| sP3 )
& e23 = op2(op2(e23,e23),e23)
& e22 = op2(op2(e23,e22),e23)
& e21 = op2(op2(e23,e21),e23)
& e20 = op2(op2(e23,e20),e23)
& e23 = op2(op2(e22,e23),e22)
& e22 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e21),e22)
& e20 = op2(op2(e22,e20),e22)
& e23 = op2(op2(e21,e23),e21)
& e22 = op2(op2(e21,e22),e21)
& e21 = op2(op2(e21,e21),e21)
& e20 = op2(op2(e21,e20),e21)
& e23 = op2(op2(e20,e23),e20)
& e22 = op2(op2(e20,e22),e20)
& e21 = op2(op2(e20,e21),e20)
& e20 = op2(op2(e20,e20),e20) ),
inference(definition_folding,[],[f11,f35,f34,f33]) ).
fof(f37,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f38,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f39,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f40,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f41,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f42,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f43,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f44,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f45,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f46,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f47,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f48,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f49,plain,
( ( e20 != h5(e13)
& e20 != h5(e12)
& e20 != h5(e11)
& e20 != h5(e10) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f50,plain,
( ( e21 != h5(e13)
& e21 != h5(e12)
& e21 != h5(e11)
& e21 != h5(e10) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f51,plain,
( ( e22 != h5(e13)
& e22 != h5(e12)
& e22 != h5(e11)
& e22 != h5(e10) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f52,plain,
( ( e20 != h6(e13)
& e20 != h6(e12)
& e20 != h6(e11)
& e20 != h6(e10) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f53,plain,
( ( e21 != h6(e13)
& e21 != h6(e12)
& e21 != h6(e11)
& e21 != h6(e10) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f54,plain,
( ( e22 != h6(e13)
& e22 != h6(e12)
& e22 != h6(e11)
& e22 != h6(e10) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f55,plain,
( ( e20 != h7(e13)
& e20 != h7(e12)
& e20 != h7(e11)
& e20 != h7(e10) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f56,plain,
( ( e21 != h7(e13)
& e21 != h7(e12)
& e21 != h7(e11)
& e21 != h7(e10) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f57,plain,
( ( e22 != h7(e13)
& e22 != h7(e12)
& e22 != h7(e11)
& e22 != h7(e10) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f58,plain,
( ( e20 != h8(e13)
& e20 != h8(e12)
& e20 != h8(e11)
& e20 != h8(e10) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f59,plain,
( ( e21 != h8(e13)
& e21 != h8(e12)
& e21 != h8(e11)
& e21 != h8(e10) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f60,plain,
( ( e22 != h8(e13)
& e22 != h8(e12)
& e22 != h8(e11)
& e22 != h8(e10) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f61,plain,
( ( e20 != h9(e13)
& e20 != h9(e12)
& e20 != h9(e11)
& e20 != h9(e10) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f62,plain,
( ( e21 != h9(e13)
& e21 != h9(e12)
& e21 != h9(e11)
& e21 != h9(e10) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f63,plain,
( ( e22 != h9(e13)
& e22 != h9(e12)
& e22 != h9(e11)
& e22 != h9(e10) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f64,plain,
( ( e20 != h10(e13)
& e20 != h10(e12)
& e20 != h10(e11)
& e20 != h10(e10) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f65,plain,
( ( e21 != h10(e13)
& e21 != h10(e12)
& e21 != h10(e11)
& e21 != h10(e10) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f66,plain,
( ( e22 != h10(e13)
& e22 != h10(e12)
& e22 != h10(e11)
& e22 != h10(e10) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f67,plain,
( ( e20 != h11(e13)
& e20 != h11(e12)
& e20 != h11(e11)
& e20 != h11(e10) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f68,plain,
( ( e21 != h11(e13)
& e21 != h11(e12)
& e21 != h11(e11)
& e21 != h11(e10) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f69,plain,
( ( e22 != h11(e13)
& e22 != h11(e12)
& e22 != h11(e11)
& e22 != h11(e10) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f70,plain,
( ( e20 != h12(e13)
& e20 != h12(e12)
& e20 != h12(e11)
& e20 != h12(e10) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f71,plain,
( ( e21 != h12(e13)
& e21 != h12(e12)
& e21 != h12(e11)
& e21 != h12(e10) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f72,plain,
( ( e22 != h12(e13)
& e22 != h12(e12)
& e22 != h12(e11)
& e22 != h12(e10) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f73,plain,
( ( ( e23 != h12(e13)
& e23 != h12(e12)
& e23 != h12(e11)
& e23 != h12(e10) )
| sP41
| sP40
| sP39
| 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) )
| sP38
| sP37
| sP36
| 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) )
| sP35
| sP34
| sP33
| 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) )
| sP32
| sP31
| sP30
| 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) )
| sP29
| sP28
| sP27
| 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) )
| sP26
| sP25
| sP24
| 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) )
| sP23
| sP22
| sP21
| 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) )
| sP20
| sP19
| sP18
| 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) )
| sP17
| sP16
| sP15
| 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) )
| sP14
| sP13
| sP12
| 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) )
| sP11
| sP10
| sP9
| 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) )
| sP8
| sP7
| sP6
| 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,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37]) ).
fof(f74,plain,
( ( op1(e13,e12) = op1(e12,op1(e13,e12))
& op1(e12,e12) = op1(e12,op1(e12,e12))
& op1(e11,e12) = op1(e12,op1(e11,e12))
& op1(e10,e12) = op1(e12,op1(e10,e12)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f31]) ).
fof(f75,plain,
( ( op1(e13,e11) = op1(e11,op1(e13,e11))
& op1(e12,e11) = op1(e11,op1(e12,e11))
& op1(e11,e11) = op1(e11,op1(e11,e11))
& op1(e10,e11) = op1(e11,op1(e10,e11)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f30]) ).
fof(f76,plain,
( ( op1(e13,e10) = op1(e10,op1(e13,e10))
& op1(e12,e10) = op1(e10,op1(e12,e10))
& op1(e11,e10) = op1(e10,op1(e11,e10))
& op1(e10,e10) = op1(e10,op1(e10,e10)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f29]) ).
fof(f77,plain,
( ( op2(e23,e22) = op2(e22,op2(e23,e22))
& op2(e22,e22) = op2(e22,op2(e22,e22))
& op2(e21,e22) = op2(e22,op2(e21,e22))
& op2(e20,e22) = op2(e22,op2(e20,e22)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f35]) ).
fof(f78,plain,
( ( op2(e23,e21) = op2(e21,op2(e23,e21))
& op2(e22,e21) = op2(e21,op2(e22,e21))
& op2(e21,e21) = op2(e21,op2(e21,e21))
& op2(e20,e21) = op2(e21,op2(e20,e21)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f34]) ).
fof(f79,plain,
( ( op2(e23,e20) = op2(e20,op2(e23,e20))
& op2(e22,e20) = op2(e20,op2(e22,e20))
& op2(e21,e20) = op2(e20,op2(e21,e20))
& op2(e20,e20) = op2(e20,op2(e20,e20)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f33]) ).
fof(f101,plain,
( ( e22 != h5(e13)
& e22 != h5(e12)
& e22 != h5(e11)
& e22 != h5(e10) )
| ~ sP20 ),
inference(nnf_transformation,[],[f51]) ).
fof(f102,plain,
( ( e21 != h5(e13)
& e21 != h5(e12)
& e21 != h5(e11)
& e21 != h5(e10) )
| ~ sP19 ),
inference(nnf_transformation,[],[f50]) ).
fof(f103,plain,
( ( e20 != h5(e13)
& e20 != h5(e12)
& e20 != h5(e11)
& e20 != h5(e10) )
| ~ sP18 ),
inference(nnf_transformation,[],[f49]) ).
fof(f116,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f125,plain,
( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f132,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f135,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f140,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f146,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f168,plain,
( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f173,plain,
( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f181,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f184,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f185,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f188,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f194,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f212,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f214,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f216,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f221,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f226,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f237,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f244,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f250,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f260,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f264,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f268,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f269,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f285,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f292,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f308,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f309,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f310,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f312,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f313,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f315,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f316,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f318,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f319,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f339,plain,
( op1(e13,e12) = op1(e12,op1(e13,e12))
| ~ sP2 ),
inference(cnf_transformation,[],[f74]) ).
fof(f342,plain,
( op1(e12,e11) = op1(e11,op1(e12,e11))
| ~ sP1 ),
inference(cnf_transformation,[],[f75]) ).
fof(f344,plain,
( op1(e10,e10) = op1(e10,op1(e10,e10))
| ~ sP0 ),
inference(cnf_transformation,[],[f76]) ).
fof(f351,plain,
e13 = op1(op1(e10,e13),e10),
inference(cnf_transformation,[],[f32]) ).
fof(f354,plain,
e12 = op1(op1(e11,e12),e11),
inference(cnf_transformation,[],[f32]) ).
fof(f356,plain,
e10 = op1(op1(e12,e10),e12),
inference(cnf_transformation,[],[f32]) ).
fof(f357,plain,
e11 = op1(op1(e12,e11),e12),
inference(cnf_transformation,[],[f32]) ).
fof(f361,plain,
e11 = op1(op1(e13,e11),e13),
inference(cnf_transformation,[],[f32]) ).
fof(f362,plain,
e12 = op1(op1(e13,e12),e13),
inference(cnf_transformation,[],[f32]) ).
fof(f363,plain,
e13 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[],[f32]) ).
fof(f364,plain,
( op1(e10,e13) = op1(e13,op1(e10,e13))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f32]) ).
fof(f371,plain,
( op2(e23,e22) = op2(e22,op2(e23,e22))
| ~ sP5 ),
inference(cnf_transformation,[],[f77]) ).
fof(f374,plain,
( op2(e22,e21) = op2(e21,op2(e22,e21))
| ~ sP4 ),
inference(cnf_transformation,[],[f78]) ).
fof(f376,plain,
( op2(e20,e20) = op2(e20,op2(e20,e20))
| ~ sP3 ),
inference(cnf_transformation,[],[f79]) ).
fof(f377,plain,
( op2(e21,e20) = op2(e20,op2(e21,e20))
| ~ sP3 ),
inference(cnf_transformation,[],[f79]) ).
fof(f383,plain,
e23 = op2(op2(e20,e23),e20),
inference(cnf_transformation,[],[f36]) ).
fof(f386,plain,
e22 = op2(op2(e21,e22),e21),
inference(cnf_transformation,[],[f36]) ).
fof(f388,plain,
e20 = op2(op2(e22,e20),e22),
inference(cnf_transformation,[],[f36]) ).
fof(f389,plain,
e21 = op2(op2(e22,e21),e22),
inference(cnf_transformation,[],[f36]) ).
fof(f393,plain,
e21 = op2(op2(e23,e21),e23),
inference(cnf_transformation,[],[f36]) ).
fof(f394,plain,
e22 = op2(op2(e23,e22),e23),
inference(cnf_transformation,[],[f36]) ).
fof(f395,plain,
e23 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f36]) ).
fof(f396,plain,
( op2(e20,e23) = op2(e23,op2(e20,e23))
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f400,plain,
e10 = op1(op1(e12,e11),op1(e12,e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f401,plain,
e13 = op1(e12,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f402,plain,
e20 = op2(op2(e22,e21),op2(e22,e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f403,plain,
e23 = op2(e22,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f407,plain,
op2(e21,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f411,plain,
op2(e22,e20) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f415,plain,
op2(e23,e20) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f419,plain,
op2(e20,e21) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f420,plain,
e21 = h5(e11),
inference(cnf_transformation,[],[f18]) ).
fof(f421,plain,
e22 = h5(e12),
inference(cnf_transformation,[],[f18]) ).
fof(f422,plain,
op2(op2(e22,e21),op2(e22,e21)) = h5(e10),
inference(cnf_transformation,[],[f18]) ).
fof(f423,plain,
op2(e22,e21) = h5(e13),
inference(cnf_transformation,[],[f18]) ).
fof(f426,plain,
h6(e10) = op2(op2(e23,e21),op2(e23,e21)),
inference(cnf_transformation,[],[f19]) ).
fof(f427,plain,
op2(e23,e21) = h6(e13),
inference(cnf_transformation,[],[f19]) ).
fof(f431,plain,
op2(e20,e22) = h7(e13),
inference(cnf_transformation,[],[f20]) ).
fof(f435,plain,
op2(e21,e22) = h8(e13),
inference(cnf_transformation,[],[f21]) ).
fof(f438,plain,
h9(e10) = op2(op2(e23,e22),op2(e23,e22)),
inference(cnf_transformation,[],[f22]) ).
fof(f439,plain,
op2(e23,e22) = h9(e13),
inference(cnf_transformation,[],[f22]) ).
fof(f443,plain,
op2(e20,e23) = h10(e13),
inference(cnf_transformation,[],[f23]) ).
fof(f446,plain,
h11(e10) = op2(op2(e21,e23),op2(e21,e23)),
inference(cnf_transformation,[],[f24]) ).
fof(f447,plain,
op2(e21,e23) = h11(e13),
inference(cnf_transformation,[],[f24]) ).
fof(f451,plain,
op2(e22,e23) = h12(e13),
inference(cnf_transformation,[],[f25]) ).
fof(f538,plain,
( e22 != h5(e12)
| ~ sP20 ),
inference(cnf_transformation,[],[f101]) ).
fof(f541,plain,
( e21 != h5(e11)
| ~ sP19 ),
inference(cnf_transformation,[],[f102]) ).
fof(f544,plain,
( e20 != h5(e10)
| ~ sP18 ),
inference(cnf_transformation,[],[f103]) ).
fof(f615,plain,
( e23 != h5(e13)
| sP20
| sP19
| sP18
| 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)) ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_55,plain,
( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_64,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_82,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_88,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_91,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_92,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_93,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_94,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_96,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_103,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_108,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_130,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_136,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_139,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_140,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f184]) ).
cnf(c_143,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_154,plain,
op1(e12,e13) != op1(e12,e10),
inference(cnf_transformation,[],[f250]) ).
cnf(c_160,plain,
op1(e11,e13) != op1(e11,e10),
inference(cnf_transformation,[],[f244]) ).
cnf(c_167,plain,
op1(e10,e12) != op1(e10,e10),
inference(cnf_transformation,[],[f237]) ).
cnf(c_178,plain,
op1(e13,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f226]) ).
cnf(c_183,plain,
op1(e12,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f221]) ).
cnf(c_184,plain,
op1(e13,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f220]) ).
cnf(c_188,plain,
op1(e13,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f216]) ).
cnf(c_190,plain,
op1(e13,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f214]) ).
cnf(c_192,plain,
op1(e11,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f212]) ).
cnf(c_208,plain,
op2(e21,e23) != op2(e21,e20),
inference(cnf_transformation,[],[f292]) ).
cnf(c_215,plain,
op2(e20,e22) != op2(e20,e20),
inference(cnf_transformation,[],[f285]) ).
cnf(c_231,plain,
op2(e22,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f269]) ).
cnf(c_232,plain,
op2(e23,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f268]) ).
cnf(c_236,plain,
op2(e23,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f264]) ).
cnf(c_240,plain,
op2(e21,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f260]) ).
cnf(c_241,plain,
e13 != e12,
inference(cnf_transformation,[],[f313]) ).
cnf(c_242,plain,
e13 != e11,
inference(cnf_transformation,[],[f312]) ).
cnf(c_244,plain,
e13 != e10,
inference(cnf_transformation,[],[f310]) ).
cnf(c_245,plain,
e12 != e10,
inference(cnf_transformation,[],[f309]) ).
cnf(c_246,plain,
e11 != e10,
inference(cnf_transformation,[],[f308]) ).
cnf(c_247,plain,
e23 != e22,
inference(cnf_transformation,[],[f319]) ).
cnf(c_248,plain,
e23 != e21,
inference(cnf_transformation,[],[f318]) ).
cnf(c_250,plain,
e23 != e20,
inference(cnf_transformation,[],[f316]) ).
cnf(c_251,plain,
e22 != e20,
inference(cnf_transformation,[],[f315]) ).
cnf(c_269,plain,
( ~ sP2
| op1(e12,op1(e13,e12)) = op1(e13,e12) ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_274,plain,
( ~ sP1
| op1(e11,op1(e12,e11)) = op1(e12,e11) ),
inference(cnf_transformation,[],[f342]) ).
cnf(c_280,plain,
( ~ sP0
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
inference(cnf_transformation,[],[f344]) ).
cnf(c_284,plain,
( op1(e13,op1(e10,e13)) = op1(e10,e13)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_285,plain,
op1(op1(e13,e13),e13) = e13,
inference(cnf_transformation,[],[f363]) ).
cnf(c_286,plain,
op1(op1(e13,e12),e13) = e12,
inference(cnf_transformation,[],[f362]) ).
cnf(c_287,plain,
op1(op1(e13,e11),e13) = e11,
inference(cnf_transformation,[],[f361]) ).
cnf(c_291,plain,
op1(op1(e12,e11),e12) = e11,
inference(cnf_transformation,[],[f357]) ).
cnf(c_292,plain,
op1(op1(e12,e10),e12) = e10,
inference(cnf_transformation,[],[f356]) ).
cnf(c_294,plain,
op1(op1(e11,e12),e11) = e12,
inference(cnf_transformation,[],[f354]) ).
cnf(c_297,plain,
op1(op1(e10,e13),e10) = e13,
inference(cnf_transformation,[],[f351]) ).
cnf(c_301,plain,
( ~ sP5
| op2(e22,op2(e23,e22)) = op2(e23,e22) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_306,plain,
( ~ sP4
| op2(e21,op2(e22,e21)) = op2(e22,e21) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_311,plain,
( ~ sP3
| op2(e20,op2(e21,e20)) = op2(e21,e20) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_312,plain,
( ~ sP3
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_316,plain,
( op2(e23,op2(e20,e23)) = op2(e20,e23)
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f396]) ).
cnf(c_317,plain,
op2(op2(e23,e23),e23) = e23,
inference(cnf_transformation,[],[f395]) ).
cnf(c_318,plain,
op2(op2(e23,e22),e23) = e22,
inference(cnf_transformation,[],[f394]) ).
cnf(c_319,plain,
op2(op2(e23,e21),e23) = e21,
inference(cnf_transformation,[],[f393]) ).
cnf(c_323,plain,
op2(op2(e22,e21),e22) = e21,
inference(cnf_transformation,[],[f389]) ).
cnf(c_324,plain,
op2(op2(e22,e20),e22) = e20,
inference(cnf_transformation,[],[f388]) ).
cnf(c_326,plain,
op2(op2(e21,e22),e21) = e22,
inference(cnf_transformation,[],[f386]) ).
cnf(c_329,plain,
op2(op2(e20,e23),e20) = e23,
inference(cnf_transformation,[],[f383]) ).
cnf(c_333,plain,
op1(e12,e11) = e13,
inference(cnf_transformation,[],[f401]) ).
cnf(c_334,plain,
op1(op1(e12,e11),op1(e12,e11)) = e10,
inference(cnf_transformation,[],[f400]) ).
cnf(c_335,plain,
op2(e22,e21) = e23,
inference(cnf_transformation,[],[f403]) ).
cnf(c_336,plain,
op2(op2(e22,e21),op2(e22,e21)) = e20,
inference(cnf_transformation,[],[f402]) ).
cnf(c_337,plain,
op2(e21,e20) = h1(e13),
inference(cnf_transformation,[],[f407]) ).
cnf(c_341,plain,
op2(e22,e20) = h2(e13),
inference(cnf_transformation,[],[f411]) ).
cnf(c_345,plain,
op2(e23,e20) = h3(e13),
inference(cnf_transformation,[],[f415]) ).
cnf(c_349,plain,
op2(e20,e21) = h4(e13),
inference(cnf_transformation,[],[f419]) ).
cnf(c_353,plain,
op2(e22,e21) = h5(e13),
inference(cnf_transformation,[],[f423]) ).
cnf(c_354,plain,
op2(op2(e22,e21),op2(e22,e21)) = h5(e10),
inference(cnf_transformation,[],[f422]) ).
cnf(c_355,plain,
h5(e12) = e22,
inference(cnf_transformation,[],[f421]) ).
cnf(c_356,plain,
h5(e11) = e21,
inference(cnf_transformation,[],[f420]) ).
cnf(c_357,plain,
op2(e23,e21) = h6(e13),
inference(cnf_transformation,[],[f427]) ).
cnf(c_358,plain,
op2(op2(e23,e21),op2(e23,e21)) = h6(e10),
inference(cnf_transformation,[],[f426]) ).
cnf(c_361,plain,
op2(e20,e22) = h7(e13),
inference(cnf_transformation,[],[f431]) ).
cnf(c_365,plain,
op2(e21,e22) = h8(e13),
inference(cnf_transformation,[],[f435]) ).
cnf(c_369,plain,
op2(e23,e22) = h9(e13),
inference(cnf_transformation,[],[f439]) ).
cnf(c_370,plain,
op2(op2(e23,e22),op2(e23,e22)) = h9(e10),
inference(cnf_transformation,[],[f438]) ).
cnf(c_373,plain,
op2(e20,e23) = h10(e13),
inference(cnf_transformation,[],[f443]) ).
cnf(c_377,plain,
op2(e21,e23) = h11(e13),
inference(cnf_transformation,[],[f447]) ).
cnf(c_378,plain,
op2(op2(e21,e23),op2(e21,e23)) = h11(e10),
inference(cnf_transformation,[],[f446]) ).
cnf(c_381,plain,
op2(e22,e23) = h12(e13),
inference(cnf_transformation,[],[f451]) ).
cnf(c_470,plain,
( h5(e12) != e22
| ~ sP20 ),
inference(cnf_transformation,[],[f538]) ).
cnf(c_475,plain,
( h5(e11) != e21
| ~ sP19 ),
inference(cnf_transformation,[],[f541]) ).
cnf(c_480,plain,
( h5(e10) != e20
| ~ sP18 ),
inference(cnf_transformation,[],[f544]) ).
cnf(c_557,negated_conjecture,
( op2(h5(e13),h5(e13)) != h5(op1(e13,e13))
| op2(h5(e13),h5(e12)) != h5(op1(e13,e12))
| op2(h5(e13),h5(e11)) != h5(op1(e13,e11))
| op2(h5(e13),h5(e10)) != h5(op1(e13,e10))
| op2(h5(e12),h5(e13)) != h5(op1(e12,e13))
| op2(h5(e12),h5(e12)) != h5(op1(e12,e12))
| op2(h5(e12),h5(e11)) != h5(op1(e12,e11))
| op2(h5(e12),h5(e10)) != h5(op1(e12,e10))
| op2(h5(e11),h5(e13)) != h5(op1(e11,e13))
| op2(h5(e11),h5(e12)) != h5(op1(e11,e12))
| op2(h5(e11),h5(e11)) != h5(op1(e11,e11))
| op2(h5(e11),h5(e10)) != h5(op1(e11,e10))
| op2(h5(e10),h5(e13)) != h5(op1(e10,e13))
| op2(h5(e10),h5(e12)) != h5(op1(e10,e12))
| op2(h5(e10),h5(e11)) != h5(op1(e10,e11))
| op2(h5(e10),h5(e10)) != h5(op1(e10,e10))
| h5(e13) != e23
| sP20
| sP19
| sP18 ),
inference(cnf_transformation,[],[f615]) ).
cnf(c_725,plain,
op2(e22,e21) = e23,
inference(global_subsumption_just,[status(thm)],[c_103,c_335]) ).
cnf(c_731,plain,
op1(e12,e11) = e13,
inference(global_subsumption_just,[status(thm)],[c_55,c_333]) ).
cnf(c_771,negated_conjecture,
( op2(h5(e13),h5(e13)) != h5(op1(e13,e13))
| op2(h5(e13),h5(e12)) != h5(op1(e13,e12))
| op2(h5(e13),h5(e11)) != h5(op1(e13,e11))
| op2(h5(e13),h5(e10)) != h5(op1(e13,e10))
| op2(h5(e12),h5(e13)) != h5(op1(e12,e13))
| op2(h5(e12),h5(e12)) != h5(op1(e12,e12))
| op2(h5(e12),h5(e11)) != h5(op1(e12,e11))
| op2(h5(e12),h5(e10)) != h5(op1(e12,e10))
| op2(h5(e11),h5(e13)) != h5(op1(e11,e13))
| op2(h5(e11),h5(e12)) != h5(op1(e11,e12))
| op2(h5(e11),h5(e11)) != h5(op1(e11,e11))
| op2(h5(e11),h5(e10)) != h5(op1(e11,e10))
| op2(h5(e10),h5(e13)) != h5(op1(e10,e13))
| op2(h5(e10),h5(e12)) != h5(op1(e10,e12))
| op2(h5(e10),h5(e11)) != h5(op1(e10,e11))
| op2(h5(e10),h5(e10)) != h5(op1(e10,e10))
| h5(e13) != e23
| sP18 ),
inference(global_subsumption_just,[status(thm)],[c_557,c_356,c_355,c_475,c_470,c_557]) ).
cnf(c_3529,plain,
h5(e13) = e23,
inference(light_normalisation,[status(thm)],[c_353,c_725]) ).
cnf(c_3707,plain,
op2(h10(e13),e20) = e23,
inference(light_normalisation,[status(thm)],[c_329,c_373]) ).
cnf(c_3709,plain,
op2(h8(e13),e21) = e22,
inference(light_normalisation,[status(thm)],[c_326,c_365]) ).
cnf(c_3711,plain,
op2(h2(e13),e22) = e20,
inference(light_normalisation,[status(thm)],[c_324,c_341]) ).
cnf(c_3712,plain,
h9(e13) = e21,
inference(light_normalisation,[status(thm)],[c_323,c_725,c_369]) ).
cnf(c_3715,plain,
op2(e23,e22) = e21,
inference(demodulation,[status(thm)],[c_369,c_3712]) ).
cnf(c_3719,plain,
op2(h6(e13),e23) = e21,
inference(light_normalisation,[status(thm)],[c_319,c_357]) ).
cnf(c_3720,plain,
h11(e13) = e22,
inference(light_normalisation,[status(thm)],[c_318,c_377,c_3715]) ).
cnf(c_3724,plain,
op2(e21,e23) = e22,
inference(demodulation,[status(thm)],[c_377,c_3720]) ).
cnf(c_3726,plain,
op1(e13,e12) = e11,
inference(light_normalisation,[status(thm)],[c_291,c_731]) ).
cnf(c_3727,plain,
op1(e11,e13) = e12,
inference(light_normalisation,[status(thm)],[c_286,c_3726]) ).
cnf(c_3729,plain,
op2(e20,e20) != h1(e13),
inference(light_normalisation,[status(thm)],[c_240,c_337]) ).
cnf(c_3733,plain,
h1(e13) != h3(e13),
inference(light_normalisation,[status(thm)],[c_236,c_337,c_345]) ).
cnf(c_3737,plain,
h4(e13) != h6(e13),
inference(light_normalisation,[status(thm)],[c_232,c_349,c_357]) ).
cnf(c_3738,plain,
op2(e21,e21) != e23,
inference(light_normalisation,[status(thm)],[c_231,c_725]) ).
cnf(c_3754,plain,
op2(e20,e20) != h7(e13),
inference(light_normalisation,[status(thm)],[c_215,c_361]) ).
cnf(c_3761,plain,
h1(e13) != e22,
inference(light_normalisation,[status(thm)],[c_208,c_337,c_3724]) ).
cnf(c_3778,plain,
op1(e11,e11) != e13,
inference(light_normalisation,[status(thm)],[c_183,c_731]) ).
cnf(c_3780,plain,
op1(e10,e12) != e11,
inference(light_normalisation,[status(thm)],[c_178,c_3726]) ).
cnf(c_3786,plain,
op1(e11,e10) != e12,
inference(light_normalisation,[status(thm)],[c_160,c_3727]) ).
cnf(c_3795,plain,
op2(e23,e23) = e20,
inference(light_normalisation,[status(thm)],[c_336,c_725]) ).
cnf(c_3802,plain,
op2(e20,e23) = e23,
inference(demodulation,[status(thm)],[c_317,c_3795]) ).
cnf(c_3803,plain,
h10(e13) = e23,
inference(light_normalisation,[status(thm)],[c_3802,c_373]) ).
cnf(c_3809,plain,
op2(e23,e20) = e23,
inference(demodulation,[status(thm)],[c_3707,c_3803]) ).
cnf(c_3811,plain,
op2(e20,e23) = e23,
inference(demodulation,[status(thm)],[c_373,c_3803]) ).
cnf(c_3812,plain,
h3(e13) = e23,
inference(light_normalisation,[status(thm)],[c_3809,c_345]) ).
cnf(c_3816,plain,
h1(e13) != e23,
inference(demodulation,[status(thm)],[c_3733,c_3812]) ).
cnf(c_3820,plain,
op2(e23,e20) = e23,
inference(demodulation,[status(thm)],[c_345,c_3812]) ).
cnf(c_3823,plain,
op1(e13,e13) = e10,
inference(light_normalisation,[status(thm)],[c_334,c_731]) ).
cnf(c_3830,plain,
op1(e10,e13) = e13,
inference(demodulation,[status(thm)],[c_285,c_3823]) ).
cnf(c_3836,plain,
op1(e13,e10) = e13,
inference(demodulation,[status(thm)],[c_297,c_3830]) ).
cnf(c_3840,plain,
op1(e11,e10) != e13,
inference(demodulation,[status(thm)],[c_188,c_3836]) ).
cnf(c_3841,plain,
op1(e10,e10) != e13,
inference(demodulation,[status(thm)],[c_190,c_3836]) ).
cnf(c_3846,plain,
op2(e22,e22) = h11(e10),
inference(light_normalisation,[status(thm)],[c_378,c_3724]) ).
cnf(c_3857,plain,
op2(e21,e21) = h9(e10),
inference(light_normalisation,[status(thm)],[c_370,c_3715]) ).
cnf(c_3862,plain,
h9(e10) != e23,
inference(demodulation,[status(thm)],[c_3738,c_3857]) ).
cnf(c_3867,plain,
op2(h6(e13),h6(e13)) = h6(e10),
inference(light_normalisation,[status(thm)],[c_358,c_357]) ).
cnf(c_3868,plain,
h5(e10) = e20,
inference(light_normalisation,[status(thm)],[c_354,c_725,c_3795]) ).
cnf(c_3869,plain,
( e20 != e20
| ~ sP18 ),
inference(demodulation,[status(thm)],[c_480,c_3868]) ).
cnf(c_3870,plain,
~ sP18,
inference(equality_resolution_simp,[status(thm)],[c_3869]) ).
cnf(c_3881,plain,
( ~ sP3
| op2(e20,h1(e13)) = h1(e13) ),
inference(light_normalisation,[status(thm)],[c_311,c_337]) ).
cnf(c_3902,plain,
( ~ sP4
| e23 = e22 ),
inference(light_normalisation,[status(thm)],[c_306,c_725,c_3724]) ).
cnf(c_3903,plain,
~ sP4,
inference(forward_subsumption_resolution,[status(thm)],[c_3902,c_247]) ).
cnf(c_3919,plain,
( ~ sP5
| e23 = e21 ),
inference(light_normalisation,[status(thm)],[c_301,c_725,c_3715]) ).
cnf(c_3920,plain,
~ sP5,
inference(forward_subsumption_resolution,[status(thm)],[c_3919,c_248]) ).
cnf(c_3942,plain,
( ~ sP1
| e13 = e12 ),
inference(light_normalisation,[status(thm)],[c_274,c_731,c_3727]) ).
cnf(c_3943,plain,
~ sP1,
inference(forward_subsumption_resolution,[status(thm)],[c_3942,c_241]) ).
cnf(c_3956,plain,
( ~ sP2
| e13 = e11 ),
inference(light_normalisation,[status(thm)],[c_269,c_731,c_3726]) ).
cnf(c_3957,plain,
~ sP2,
inference(forward_subsumption_resolution,[status(thm)],[c_3956,c_242]) ).
cnf(c_3958,plain,
( e23 = e20
| sP5
| sP4
| sP3 ),
inference(light_normalisation,[status(thm)],[c_316,c_3795,c_3811]) ).
cnf(c_3959,plain,
sP3,
inference(forward_subsumption_resolution,[status(thm)],[c_3958,c_3903,c_3920,c_250]) ).
cnf(c_3961,plain,
op2(e20,h1(e13)) = h1(e13),
inference(backward_subsumption_resolution,[status(thm)],[c_3881,c_3959]) ).
cnf(c_3962,plain,
op2(e20,op2(e20,e20)) = op2(e20,e20),
inference(backward_subsumption_resolution,[status(thm)],[c_312,c_3959]) ).
cnf(c_3963,plain,
( e13 = e10
| sP2
| sP1
| sP0 ),
inference(light_normalisation,[status(thm)],[c_284,c_3823,c_3830]) ).
cnf(c_3964,plain,
sP0,
inference(forward_subsumption_resolution,[status(thm)],[c_3963,c_3943,c_3957,c_244]) ).
cnf(c_3965,plain,
op1(e10,op1(e10,e10)) = op1(e10,e10),
inference(backward_subsumption_resolution,[status(thm)],[c_280,c_3964]) ).
cnf(c_3976,plain,
( op2(e20,e20) = e20
| h1(e13) = e20
| h2(e13) = e20
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_143,c_337,c_341,c_3820]) ).
cnf(c_3977,plain,
( op2(e20,e20) = e20
| h1(e13) = e20
| h2(e13) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3976,c_250]) ).
cnf(c_3998,plain,
( op2(e20,e20) = e22
| h4(e13) = e22
| h7(e13) = e22
| e23 = e22 ),
inference(light_normalisation,[status(thm)],[c_140,c_349,c_361,c_3811]) ).
cnf(c_3999,plain,
( op2(e20,e20) = e22
| h4(e13) = e22
| h7(e13) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3998,c_247]) ).
cnf(c_4006,plain,
( op2(e20,e20) = e22
| h1(e13) = e22
| h2(e13) = e22
| e23 = e22 ),
inference(light_normalisation,[status(thm)],[c_139,c_337,c_341,c_3820]) ).
cnf(c_4007,plain,
( op2(e20,e20) = e22
| h2(e13) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4006,c_247,c_3761]) ).
cnf(c_4012,plain,
( h1(e13) = e20
| h8(e13) = e20
| h9(e10) = e20
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_136,c_337,c_365,c_3724,c_3857]) ).
cnf(c_4013,plain,
( h1(e13) = e20
| h8(e13) = e20
| h9(e10) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4012,c_251]) ).
cnf(c_4044,plain,
( h1(e13) = e23
| h8(e13) = e23
| h9(e10) = e23
| e23 = e22 ),
inference(light_normalisation,[status(thm)],[c_130,c_337,c_365,c_3724,c_3857]) ).
cnf(c_4045,plain,
h8(e13) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_4044,c_247,c_3862,c_3816]) ).
cnf(c_4046,plain,
( h1(e13) = e20
| h9(e10) = e20
| e23 = e20 ),
inference(demodulation,[status(thm)],[c_4013,c_4045]) ).
cnf(c_4054,plain,
op2(e23,e21) = e22,
inference(demodulation,[status(thm)],[c_3709,c_4045]) ).
cnf(c_4056,plain,
op2(e21,e22) = e23,
inference(demodulation,[status(thm)],[c_365,c_4045]) ).
cnf(c_4057,plain,
h6(e13) = e22,
inference(light_normalisation,[status(thm)],[c_4054,c_357]) ).
cnf(c_4059,plain,
op2(e22,e22) = h6(e10),
inference(demodulation,[status(thm)],[c_3867,c_4057]) ).
cnf(c_4064,plain,
h4(e13) != e22,
inference(demodulation,[status(thm)],[c_3737,c_4057]) ).
cnf(c_4065,plain,
op2(e22,e23) = e21,
inference(demodulation,[status(thm)],[c_3719,c_4057]) ).
cnf(c_4067,plain,
op2(e23,e21) = e22,
inference(demodulation,[status(thm)],[c_357,c_4057]) ).
cnf(c_4069,plain,
h12(e13) = e21,
inference(light_normalisation,[status(thm)],[c_4065,c_381]) ).
cnf(c_4078,plain,
op2(e22,e23) = e21,
inference(demodulation,[status(thm)],[c_381,c_4069]) ).
cnf(c_4091,plain,
( op2(e20,e20) = e22
| h7(e13) = e22 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3999,c_4064]) ).
cnf(c_4096,plain,
h6(e10) = h11(e10),
inference(light_normalisation,[status(thm)],[c_4059,c_3846]) ).
cnf(c_4102,plain,
op2(e22,e22) = h6(e10),
inference(demodulation,[status(thm)],[c_3846,c_4096]) ).
cnf(c_4111,plain,
( h1(e13) = e20
| h9(e10) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4046,c_250]) ).
cnf(c_4159,plain,
( h1(e13) = e23
| h1(e13) = e22
| h1(e13) = e21
| h1(e13) = e20 ),
inference(light_normalisation,[status(thm)],[c_108,c_337]) ).
cnf(c_4160,plain,
( h1(e13) = e21
| h1(e13) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4159,c_3761,c_3816]) ).
cnf(c_4183,plain,
( op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_96,c_3830]) ).
cnf(c_4184,plain,
( op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4183,c_244]) ).
cnf(c_4199,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11
| e13 = e11 ),
inference(light_normalisation,[status(thm)],[c_94,c_3830]) ).
cnf(c_4200,plain,
( op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4199,c_242,c_3780]) ).
cnf(c_4205,plain,
( op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11
| e13 = e11 ),
inference(light_normalisation,[status(thm)],[c_93,c_3836]) ).
cnf(c_4206,plain,
( op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4205,c_242]) ).
cnf(c_4213,plain,
( op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12
| e13 = e12 ),
inference(light_normalisation,[status(thm)],[c_92,c_3830]) ).
cnf(c_4214,plain,
( op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4213,c_241]) ).
cnf(c_4221,plain,
( op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12
| e13 = e12 ),
inference(light_normalisation,[status(thm)],[c_91,c_3836]) ).
cnf(c_4222,plain,
( op1(e12,e10) = e12
| op1(e10,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4221,c_241,c_3786]) ).
cnf(c_4227,plain,
( op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_88,c_3727]) ).
cnf(c_4228,plain,
( op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4227,c_245]) ).
cnf(c_4259,plain,
( op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13
| e13 = e12 ),
inference(light_normalisation,[status(thm)],[c_82,c_3727]) ).
cnf(c_4260,plain,
op1(e11,e12) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_4259,c_241,c_3840,c_3778]) ).
cnf(c_4261,plain,
( op1(e11,e11) = e10
| op1(e11,e10) = e10
| e13 = e10 ),
inference(demodulation,[status(thm)],[c_4228,c_4260]) ).
cnf(c_4268,plain,
op1(e13,e11) = e12,
inference(demodulation,[status(thm)],[c_294,c_4260]) ).
cnf(c_4273,plain,
op1(e10,e11) != e12,
inference(demodulation,[status(thm)],[c_184,c_4268]) ).
cnf(c_4274,plain,
op1(e12,e13) = e11,
inference(demodulation,[status(thm)],[c_287,c_4268]) ).
cnf(c_4278,plain,
op1(e12,e10) != e11,
inference(demodulation,[status(thm)],[c_154,c_4274]) ).
cnf(c_4281,plain,
( op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4206,c_4278]) ).
cnf(c_4286,plain,
( op1(e10,e12) = e12
| op1(e10,e10) = e12 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4214,c_4273]) ).
cnf(c_4291,plain,
( op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4261,c_244]) ).
cnf(c_4320,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_64,c_3841]) ).
cnf(c_4542,plain,
( h5(op1(e12,e12)) != h6(e10)
| h5(op1(e12,e10)) != h2(e13)
| h5(op1(e11,e11)) != h9(e10)
| h5(op1(e11,e10)) != h1(e13)
| h5(op1(e10,e12)) != h7(e13)
| h5(op1(e10,e11)) != h4(e13)
| h5(op1(e10,e10)) != op2(e20,e20)
| h5(e13) != e23
| e23 != e23
| e22 != e22
| e21 != e21
| e20 != e20
| sP18 ),
inference(light_normalisation,[status(thm)],[c_771,c_731,c_725,c_337,c_341,c_349,c_355,c_356,c_361,c_3529,c_3715,c_3724,c_3726,c_3727,c_3795,c_3811,c_3820,c_3823,c_3830,c_3836,c_3857,c_3868,c_4067,c_4056,c_4102,c_4078,c_4260,c_4268,c_4274]) ).
cnf(c_4543,plain,
( h5(op1(e12,e12)) != h6(e10)
| h5(op1(e12,e10)) != h2(e13)
| h5(op1(e11,e11)) != h9(e10)
| h5(op1(e11,e10)) != h1(e13)
| h5(op1(e10,e12)) != h7(e13)
| h5(op1(e10,e11)) != h4(e13)
| h5(op1(e10,e10)) != op2(e20,e20)
| h5(e13) != e23
| sP18 ),
inference(equality_resolution_simp,[status(thm)],[c_4542]) ).
cnf(c_4544,plain,
( h5(op1(e12,e12)) != h6(e10)
| h5(op1(e12,e10)) != h2(e13)
| h5(op1(e11,e11)) != h9(e10)
| h5(op1(e11,e10)) != h1(e13)
| h5(op1(e10,e12)) != h7(e13)
| h5(op1(e10,e11)) != h4(e13)
| h5(op1(e10,e10)) != op2(e20,e20)
| e23 != e23
| sP18 ),
inference(demodulation,[status(thm)],[c_4543,c_3529]) ).
cnf(c_4545,plain,
( h5(op1(e12,e12)) != h6(e10)
| h5(op1(e12,e10)) != h2(e13)
| h5(op1(e11,e11)) != h9(e10)
| h5(op1(e11,e10)) != h1(e13)
| h5(op1(e10,e12)) != h7(e13)
| h5(op1(e10,e11)) != h4(e13)
| h5(op1(e10,e10)) != op2(e20,e20)
| sP18 ),
inference(equality_resolution_simp,[status(thm)],[c_4544]) ).
cnf(c_4546,plain,
( h5(op1(e12,e12)) != h6(e10)
| h5(op1(e12,e10)) != h2(e13)
| h5(op1(e11,e11)) != h9(e10)
| h5(op1(e11,e10)) != h1(e13)
| h5(op1(e10,e12)) != h7(e13)
| h5(op1(e10,e11)) != h4(e13)
| h5(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4545,c_3870]) ).
cnf(c_6976,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_4546,c_4320,c_4291,c_4286,c_4281,c_4222,c_4200,c_4184,c_4160,c_4111,c_4091,c_4102,c_4007,c_3977,c_3965,c_3962,c_3961,c_3868,c_3754,c_3729,c_3711,c_361,c_356,c_355,c_349,c_292,c_251,c_246,c_245,c_192,c_167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : ALG105+1 : TPTP v8.1.2. Released v2.7.0.
% 0.09/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 22:24:51 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.54/1.66 % SZS status Started for theBenchmark.p
% 5.54/1.66 % SZS status Theorem for theBenchmark.p
% 5.54/1.66
% 5.54/1.66 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 5.54/1.66
% 5.54/1.66 ------ iProver source info
% 5.54/1.66
% 5.54/1.66 git: date: 2024-05-02 19:28:25 +0000
% 5.54/1.66 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 5.54/1.66 git: non_committed_changes: false
% 5.54/1.66
% 5.54/1.66 ------ Parsing...
% 5.54/1.66 ------ Clausification by vclausify_rel & Parsing by iProver...
% 5.54/1.66
% 5.54/1.66 ------ Preprocessing... sup_sim: 498 sf_s rm: 32 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 5.54/1.66
% 5.54/1.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 5.54/1.66
% 5.54/1.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 5.54/1.66 ------ Proving...
% 5.54/1.66 ------ Problem Properties
% 5.54/1.66
% 5.54/1.66
% 5.54/1.66 clauses 212
% 5.54/1.66 conjectures 0
% 5.54/1.66 EPR 28
% 5.54/1.66 Horn 170
% 5.54/1.66 unary 160
% 5.54/1.66 binary 36
% 5.54/1.66 lits 360
% 5.54/1.66 lits eq 360
% 5.54/1.66 fd_pure 0
% 5.54/1.66 fd_pseudo 0
% 5.54/1.66 fd_cond 0
% 5.54/1.66 fd_pseudo_cond 0
% 5.54/1.66 AC symbols 0
% 5.54/1.66
% 5.54/1.66 ------ Schedule dynamic 5 is on
% 5.54/1.66
% 5.54/1.66 ------ no conjectures: strip conj schedule
% 5.54/1.66
% 5.54/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 5.54/1.66
% 5.54/1.66
% 5.54/1.66 ------
% 5.54/1.66 Current options:
% 5.54/1.66 ------
% 5.54/1.66
% 5.54/1.66
% 5.54/1.66
% 5.54/1.66
% 5.54/1.66 ------ Proving...
% 5.54/1.66
% 5.54/1.66
% 5.54/1.66 % SZS status Theorem for theBenchmark.p
% 5.54/1.66
% 5.54/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.54/1.66
% 5.54/1.66
%------------------------------------------------------------------------------