TSTP Solution File: ALG125+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG125+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:03:50 EDT 2024
% Result : Theorem 4.06s 1.09s
% Output : CNFRefutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 35
% Syntax : Number of formulae : 392 ( 181 unt; 0 def)
% Number of atoms : 2164 (2024 equ)
% Maximal formula atoms : 128 ( 5 avg)
% Number of connectives : 2702 ( 930 ~;1163 |; 609 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) )
& ( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) )
& ( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) )
& ( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) )
& ( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) )
& ( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) )
& ( ( op1(e13,e13) != op1(e13,op1(e13,e13))
& op1(e13,e12) != op1(e12,op1(e13,e12))
& op1(e13,e11) != op1(e11,op1(e13,e11))
& op1(e13,e10) != op1(e10,op1(e13,e10)) )
| ( op1(e12,e13) != op1(e13,op1(e12,e13))
& op1(e12,e12) != op1(e12,op1(e12,e12))
& op1(e12,e11) != op1(e11,op1(e12,e11))
& op1(e12,e10) != op1(e10,op1(e12,e10)) )
| ( op1(e11,e13) != op1(e13,op1(e11,e13))
& op1(e11,e12) != op1(e12,op1(e11,e12))
& op1(e11,e11) != op1(e11,op1(e11,e11))
& op1(e11,e10) != op1(e10,op1(e11,e10)) )
| ( op1(e10,e13) != op1(e13,op1(e10,e13))
& op1(e10,e12) != op1(e12,op1(e10,e12))
& op1(e10,e11) != op1(e11,op1(e10,e11))
& op1(e10,e10) != op1(e10,op1(e10,e10)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) )
& ( ( op2(e23,e23) != op2(e23,op2(e23,e23))
& op2(e23,e22) != op2(e22,op2(e23,e22))
& op2(e23,e21) != op2(e21,op2(e23,e21))
& op2(e23,e20) != op2(e20,op2(e23,e20)) )
| ( op2(e22,e23) != op2(e23,op2(e22,e23))
& op2(e22,e22) != op2(e22,op2(e22,e22))
& op2(e22,e21) != op2(e21,op2(e22,e21))
& op2(e22,e20) != op2(e20,op2(e22,e20)) )
| ( op2(e21,e23) != op2(e23,op2(e21,e23))
& op2(e21,e22) != op2(e22,op2(e21,e22))
& op2(e21,e21) != op2(e21,op2(e21,e21))
& op2(e21,e20) != op2(e20,op2(e21,e20)) )
| ( op2(e20,e23) != op2(e23,op2(e20,e23))
& op2(e20,e22) != op2(e22,op2(e20,e22))
& op2(e20,e21) != op2(e21,op2(e20,e21))
& op2(e20,e20) != op2(e20,op2(e20,e20)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13)))
& e11 = op1(e13,e13)
& e10 = op1(op1(e13,e13),op1(e13,e13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& e21 = op2(e23,e23)
& e20 = op2(op2(e23,e23),op2(e23,e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& op2(e20,e20) = h1(e11)
& h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& e20 = h1(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& op2(e21,e21) = h2(e11)
& h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& e21 = h2(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& op2(e22,e22) = h3(e11)
& h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& e22 = h3(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( op2(e23,op2(op2(e23,e23),op2(e23,e23))) = h4(e12)
& op2(e23,e23) = h4(e11)
& op2(op2(e23,e23),op2(e23,e23)) = h4(e10)
& e23 = h4(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,conjecture,
( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f19,negated_conjecture,
~ ( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
( ( op1(e10,e13) != op1(e13,op1(e10,e13))
& op1(e10,e12) != op1(e12,op1(e10,e12))
& op1(e10,e11) != op1(e11,op1(e10,e11))
& op1(e10,e10) != op1(e10,op1(e10,e10)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( op1(e11,e13) != op1(e13,op1(e11,e13))
& op1(e11,e12) != op1(e12,op1(e11,e12))
& op1(e11,e11) != op1(e11,op1(e11,e11))
& op1(e11,e10) != op1(e10,op1(e11,e10)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( op1(e12,e13) != op1(e13,op1(e12,e13))
& op1(e12,e12) != op1(e12,op1(e12,e12))
& op1(e12,e11) != op1(e11,op1(e12,e11))
& op1(e12,e10) != op1(e10,op1(e12,e10)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) )
& ( ( op1(e13,e13) != op1(e13,op1(e13,e13))
& op1(e13,e12) != op1(e12,op1(e13,e12))
& op1(e13,e11) != op1(e11,op1(e13,e11))
& op1(e13,e10) != op1(e10,op1(e13,e10)) )
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f10,f23,f22,f21]) ).
fof(f25,plain,
( ( op2(e20,e23) != op2(e23,op2(e20,e23))
& op2(e20,e22) != op2(e22,op2(e20,e22))
& op2(e20,e21) != op2(e21,op2(e20,e21))
& op2(e20,e20) != op2(e20,op2(e20,e20)) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f26,plain,
( ( op2(e21,e23) != op2(e23,op2(e21,e23))
& op2(e21,e22) != op2(e22,op2(e21,e22))
& op2(e21,e21) != op2(e21,op2(e21,e21))
& op2(e21,e20) != op2(e20,op2(e21,e20)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f27,plain,
( ( op2(e22,e23) != op2(e23,op2(e22,e23))
& op2(e22,e22) != op2(e22,op2(e22,e22))
& op2(e22,e21) != op2(e21,op2(e22,e21))
& op2(e22,e20) != op2(e20,op2(e22,e20)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f28,plain,
( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) )
& ( ( op2(e23,e23) != op2(e23,op2(e23,e23))
& op2(e23,e22) != op2(e22,op2(e23,e22))
& op2(e23,e21) != op2(e21,op2(e23,e21))
& op2(e23,e20) != op2(e20,op2(e23,e20)) )
| sP5
| sP4
| sP3 ) ),
inference(definition_folding,[],[f11,f27,f26,f25]) ).
fof(f29,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f30,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f31,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f32,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f33,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f34,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f35,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f36,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f37,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f38,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f39,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f40,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f41,plain,
( ( ( 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,[],[f20,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29]) ).
fof(f42,plain,
( ( op1(e12,e13) != op1(e13,op1(e12,e13))
& op1(e12,e12) != op1(e12,op1(e12,e12))
& op1(e12,e11) != op1(e11,op1(e12,e11))
& op1(e12,e10) != op1(e10,op1(e12,e10)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f43,plain,
( ( op1(e11,e13) != op1(e13,op1(e11,e13))
& op1(e11,e12) != op1(e12,op1(e11,e12))
& op1(e11,e11) != op1(e11,op1(e11,e11))
& op1(e11,e10) != op1(e10,op1(e11,e10)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f44,plain,
( ( op1(e10,e13) != op1(e13,op1(e10,e13))
& op1(e10,e12) != op1(e12,op1(e10,e12))
& op1(e10,e11) != op1(e11,op1(e10,e11))
& op1(e10,e10) != op1(e10,op1(e10,e10)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f45,plain,
( ( op2(e22,e23) != op2(e23,op2(e22,e23))
& op2(e22,e22) != op2(e22,op2(e22,e22))
& op2(e22,e21) != op2(e21,op2(e22,e21))
& op2(e22,e20) != op2(e20,op2(e22,e20)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f27]) ).
fof(f46,plain,
( ( op2(e21,e23) != op2(e23,op2(e21,e23))
& op2(e21,e22) != op2(e22,op2(e21,e22))
& op2(e21,e21) != op2(e21,op2(e21,e21))
& op2(e21,e20) != op2(e20,op2(e21,e20)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f26]) ).
fof(f47,plain,
( ( op2(e20,e23) != op2(e23,op2(e20,e23))
& op2(e20,e22) != op2(e22,op2(e20,e22))
& op2(e20,e21) != op2(e21,op2(e20,e21))
& op2(e20,e20) != op2(e20,op2(e20,e20)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f25]) ).
fof(f48,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP17 ),
inference(nnf_transformation,[],[f40]) ).
fof(f49,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP16 ),
inference(nnf_transformation,[],[f39]) ).
fof(f50,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP15 ),
inference(nnf_transformation,[],[f38]) ).
fof(f60,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f61,plain,
( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f62,plain,
( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f66,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f67,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f68,plain,
( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f70,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f71,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f73,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f74,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f77,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f80,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f96,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f98,plain,
( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f101,plain,
( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f108,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f110,plain,
( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f130,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f131,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f136,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f137,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f138,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f140,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f142,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f143,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f144,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f146,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f149,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f157,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f158,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f161,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f169,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f174,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f177,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f178,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f179,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f182,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f186,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f187,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f189,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f191,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f194,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f197,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f199,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f201,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f202,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f203,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f205,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f206,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f207,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f208,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f209,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f210,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f211,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f212,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f213,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f214,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f215,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f216,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f217,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f218,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f219,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f224,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f227,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f230,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f235,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f237,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f238,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f241,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f242,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f243,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f245,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f246,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f247,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f249,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f250,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f251,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f252,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f253,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f254,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f255,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f256,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f258,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f259,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f260,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f261,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f262,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f263,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f280,plain,
( op1(e12,e10) != op1(e10,op1(e12,e10))
| ~ sP2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f281,plain,
( op1(e12,e11) != op1(e11,op1(e12,e11))
| ~ sP2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f282,plain,
( op1(e12,e12) != op1(e12,op1(e12,e12))
| ~ sP2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f284,plain,
( op1(e11,e10) != op1(e10,op1(e11,e10))
| ~ sP1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f286,plain,
( op1(e11,e12) != op1(e12,op1(e11,e12))
| ~ sP1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f288,plain,
( op1(e10,e10) != op1(e10,op1(e10,e10))
| ~ sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f290,plain,
( op1(e10,e12) != op1(e12,op1(e10,e12))
| ~ sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f292,plain,
( op1(e13,e10) != op1(e10,op1(e13,e10))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f24]) ).
fof(f293,plain,
( op1(e13,e11) != op1(e11,op1(e13,e11))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f24]) ).
fof(f294,plain,
( op1(e13,e12) != op1(e12,op1(e13,e12))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f24]) ).
fof(f296,plain,
( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f24]) ).
fof(f298,plain,
( e10 = op1(e10,e11)
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[],[f24]) ).
fof(f301,plain,
( e11 = op1(e11,e10)
| e10 != op1(e11,e11) ),
inference(cnf_transformation,[],[f24]) ).
fof(f305,plain,
( e12 = op1(e12,e10)
| e10 != op1(e12,e12) ),
inference(cnf_transformation,[],[f24]) ).
fof(f308,plain,
( e12 = op1(e12,e13)
| e13 != op1(e12,e12) ),
inference(cnf_transformation,[],[f24]) ).
fof(f310,plain,
( e13 = op1(e13,e11)
| e11 != op1(e13,e13) ),
inference(cnf_transformation,[],[f24]) ).
fof(f313,plain,
( op2(e22,e20) != op2(e20,op2(e22,e20))
| ~ sP5 ),
inference(cnf_transformation,[],[f45]) ).
fof(f314,plain,
( op2(e22,e21) != op2(e21,op2(e22,e21))
| ~ sP5 ),
inference(cnf_transformation,[],[f45]) ).
fof(f315,plain,
( op2(e22,e22) != op2(e22,op2(e22,e22))
| ~ sP5 ),
inference(cnf_transformation,[],[f45]) ).
fof(f317,plain,
( op2(e21,e20) != op2(e20,op2(e21,e20))
| ~ sP4 ),
inference(cnf_transformation,[],[f46]) ).
fof(f319,plain,
( op2(e21,e22) != op2(e22,op2(e21,e22))
| ~ sP4 ),
inference(cnf_transformation,[],[f46]) ).
fof(f321,plain,
( op2(e20,e20) != op2(e20,op2(e20,e20))
| ~ sP3 ),
inference(cnf_transformation,[],[f47]) ).
fof(f323,plain,
( op2(e20,e22) != op2(e22,op2(e20,e22))
| ~ sP3 ),
inference(cnf_transformation,[],[f47]) ).
fof(f325,plain,
( op2(e23,e20) != op2(e20,op2(e23,e20))
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f326,plain,
( op2(e23,e21) != op2(e21,op2(e23,e21))
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f327,plain,
( op2(e23,e22) != op2(e22,op2(e23,e22))
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f329,plain,
( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f28]) ).
fof(f331,plain,
( e20 = op2(e20,e21)
| op2(e20,e20) != e21 ),
inference(cnf_transformation,[],[f28]) ).
fof(f334,plain,
( e21 = op2(e21,e20)
| e20 != op2(e21,e21) ),
inference(cnf_transformation,[],[f28]) ).
fof(f338,plain,
( e22 = op2(e22,e20)
| e20 != op2(e22,e22) ),
inference(cnf_transformation,[],[f28]) ).
fof(f343,plain,
( e23 = op2(e23,e21)
| e21 != op2(e23,e23) ),
inference(cnf_transformation,[],[f28]) ).
fof(f346,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f347,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f348,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(cnf_transformation,[],[f12]) ).
fof(f349,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f350,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f351,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(cnf_transformation,[],[f13]) ).
fof(f352,plain,
e20 = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f354,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f358,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f360,plain,
e22 = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f361,plain,
h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f16]) ).
fof(f362,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f363,plain,
h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22))),
inference(cnf_transformation,[],[f16]) ).
fof(f364,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f365,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f366,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f367,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f370,plain,
( e22 != h4(e12)
| ~ sP17 ),
inference(cnf_transformation,[],[f48]) ).
fof(f373,plain,
( e21 != h4(e11)
| ~ sP16 ),
inference(cnf_transformation,[],[f49]) ).
fof(f376,plain,
( e20 != h4(e10)
| ~ sP15 ),
inference(cnf_transformation,[],[f50]) ).
fof(f428,plain,
( 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)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f431,plain,
( e23 != h4(e13)
| 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)) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_50,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_51,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_53,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_54,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_56,plain,
( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_57,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(cnf_transformation,[],[f67]) ).
cnf(c_58,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_62,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_63,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_64,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_71,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_74,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_76,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_77,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_78,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_82,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_84,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_89,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_90,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_92,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_95,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_98,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_99,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_101,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_102,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_104,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_106,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_107,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_110,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_111,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_112,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_119,plain,
( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_122,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_124,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_125,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_126,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_128,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_130,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_131,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_132,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_137,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_138,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_142,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_145,plain,
op1(e13,e13) != op1(e13,e12),
inference(cnf_transformation,[],[f203]) ).
cnf(c_146,plain,
op1(e13,e13) != op1(e13,e11),
inference(cnf_transformation,[],[f202]) ).
cnf(c_147,plain,
op1(e13,e12) != op1(e13,e11),
inference(cnf_transformation,[],[f201]) ).
cnf(c_149,plain,
op1(e13,e12) != op1(e13,e10),
inference(cnf_transformation,[],[f199]) ).
cnf(c_150,plain,
op1(e13,e11) != op1(e13,e10),
inference(cnf_transformation,[],[f198]) ).
cnf(c_151,plain,
op1(e12,e13) != op1(e12,e12),
inference(cnf_transformation,[],[f197]) ).
cnf(c_154,plain,
op1(e12,e13) != op1(e12,e10),
inference(cnf_transformation,[],[f194]) ).
cnf(c_157,plain,
op1(e11,e13) != op1(e11,e12),
inference(cnf_transformation,[],[f191]) ).
cnf(c_158,plain,
op1(e11,e13) != op1(e11,e11),
inference(cnf_transformation,[],[f190]) ).
cnf(c_159,plain,
op1(e11,e12) != op1(e11,e11),
inference(cnf_transformation,[],[f189]) ).
cnf(c_161,plain,
op1(e11,e12) != op1(e11,e10),
inference(cnf_transformation,[],[f187]) ).
cnf(c_162,plain,
op1(e11,e11) != op1(e11,e10),
inference(cnf_transformation,[],[f186]) ).
cnf(c_166,plain,
op1(e10,e13) != op1(e10,e10),
inference(cnf_transformation,[],[f182]) ).
cnf(c_169,plain,
op1(e13,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f179]) ).
cnf(c_170,plain,
op1(e13,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f178]) ).
cnf(c_171,plain,
op1(e12,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f177]) ).
cnf(c_174,plain,
op1(e11,e13) != op1(e10,e13),
inference(cnf_transformation,[],[f174]) ).
cnf(c_177,plain,
op1(e12,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f171]) ).
cnf(c_178,plain,
op1(e13,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f170]) ).
cnf(c_179,plain,
op1(e12,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f169]) ).
cnf(c_180,plain,
op1(e11,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f168]) ).
cnf(c_181,plain,
op1(e13,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f167]) ).
cnf(c_182,plain,
op1(e13,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f166]) ).
cnf(c_184,plain,
op1(e13,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f164]) ).
cnf(c_185,plain,
op1(e12,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f163]) ).
cnf(c_186,plain,
op1(e11,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f162]) ).
cnf(c_187,plain,
op1(e13,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f161]) ).
cnf(c_188,plain,
op1(e13,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f160]) ).
cnf(c_189,plain,
op1(e12,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f159]) ).
cnf(c_190,plain,
op1(e13,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f158]) ).
cnf(c_191,plain,
op1(e12,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f157]) ).
cnf(c_193,plain,
op2(e23,e23) != op2(e23,e22),
inference(cnf_transformation,[],[f251]) ).
cnf(c_194,plain,
op2(e23,e23) != op2(e23,e21),
inference(cnf_transformation,[],[f250]) ).
cnf(c_195,plain,
op2(e23,e22) != op2(e23,e21),
inference(cnf_transformation,[],[f249]) ).
cnf(c_197,plain,
op2(e23,e22) != op2(e23,e20),
inference(cnf_transformation,[],[f247]) ).
cnf(c_198,plain,
op2(e23,e21) != op2(e23,e20),
inference(cnf_transformation,[],[f246]) ).
cnf(c_199,plain,
op2(e22,e23) != op2(e22,e22),
inference(cnf_transformation,[],[f245]) ).
cnf(c_201,plain,
op2(e22,e22) != op2(e22,e21),
inference(cnf_transformation,[],[f243]) ).
cnf(c_202,plain,
op2(e22,e23) != op2(e22,e20),
inference(cnf_transformation,[],[f242]) ).
cnf(c_203,plain,
op2(e22,e22) != op2(e22,e20),
inference(cnf_transformation,[],[f241]) ).
cnf(c_206,plain,
op2(e21,e23) != op2(e21,e21),
inference(cnf_transformation,[],[f238]) ).
cnf(c_207,plain,
op2(e21,e22) != op2(e21,e21),
inference(cnf_transformation,[],[f237]) ).
cnf(c_209,plain,
op2(e21,e22) != op2(e21,e20),
inference(cnf_transformation,[],[f235]) ).
cnf(c_214,plain,
op2(e20,e23) != op2(e20,e20),
inference(cnf_transformation,[],[f230]) ).
cnf(c_217,plain,
op2(e23,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f227]) ).
cnf(c_220,plain,
op2(e23,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f224]) ).
cnf(c_225,plain,
op2(e22,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f219]) ).
cnf(c_226,plain,
op2(e23,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f218]) ).
cnf(c_227,plain,
op2(e22,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f217]) ).
cnf(c_228,plain,
op2(e21,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f216]) ).
cnf(c_229,plain,
op2(e23,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f215]) ).
cnf(c_230,plain,
op2(e23,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f214]) ).
cnf(c_231,plain,
op2(e22,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f213]) ).
cnf(c_232,plain,
op2(e23,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f212]) ).
cnf(c_233,plain,
op2(e22,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f211]) ).
cnf(c_234,plain,
op2(e21,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f210]) ).
cnf(c_235,plain,
op2(e23,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f209]) ).
cnf(c_236,plain,
op2(e23,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f208]) ).
cnf(c_237,plain,
op2(e22,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f207]) ).
cnf(c_238,plain,
op2(e23,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f206]) ).
cnf(c_239,plain,
op2(e22,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f205]) ).
cnf(c_242,plain,
e13 != e11,
inference(cnf_transformation,[],[f256]) ).
cnf(c_243,plain,
e12 != e11,
inference(cnf_transformation,[],[f255]) ).
cnf(c_244,plain,
e13 != e10,
inference(cnf_transformation,[],[f254]) ).
cnf(c_245,plain,
e12 != e10,
inference(cnf_transformation,[],[f253]) ).
cnf(c_246,plain,
e11 != e10,
inference(cnf_transformation,[],[f252]) ).
cnf(c_247,plain,
e23 != e22,
inference(cnf_transformation,[],[f263]) ).
cnf(c_248,plain,
e23 != e21,
inference(cnf_transformation,[],[f262]) ).
cnf(c_249,plain,
e22 != e21,
inference(cnf_transformation,[],[f261]) ).
cnf(c_250,plain,
e23 != e20,
inference(cnf_transformation,[],[f260]) ).
cnf(c_251,plain,
e22 != e20,
inference(cnf_transformation,[],[f259]) ).
cnf(c_252,plain,
e21 != e20,
inference(cnf_transformation,[],[f258]) ).
cnf(c_270,plain,
( op1(e12,op1(e12,e12)) != op1(e12,e12)
| ~ sP2 ),
inference(cnf_transformation,[],[f282]) ).
cnf(c_271,plain,
( op1(e11,op1(e12,e11)) != op1(e12,e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f281]) ).
cnf(c_272,plain,
( op1(e10,op1(e12,e10)) != op1(e12,e10)
| ~ sP2 ),
inference(cnf_transformation,[],[f280]) ).
cnf(c_274,plain,
( op1(e12,op1(e11,e12)) != op1(e11,e12)
| ~ sP1 ),
inference(cnf_transformation,[],[f286]) ).
cnf(c_276,plain,
( op1(e10,op1(e11,e10)) != op1(e11,e10)
| ~ sP1 ),
inference(cnf_transformation,[],[f284]) ).
cnf(c_278,plain,
( op1(e12,op1(e10,e12)) != op1(e10,e12)
| ~ sP0 ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_280,plain,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f288]) ).
cnf(c_282,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[],[f310]) ).
cnf(c_284,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e12 ),
inference(cnf_transformation,[],[f308]) ).
cnf(c_286,plain,
( op1(e12,e12) != e10
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f305]) ).
cnf(c_289,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_292,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f298]) ).
cnf(c_293,plain,
( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f296]) ).
cnf(c_295,plain,
( op1(e12,op1(e13,e12)) != op1(e13,e12)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f294]) ).
cnf(c_296,plain,
( op1(e11,op1(e13,e11)) != op1(e13,e11)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f293]) ).
cnf(c_297,plain,
( op1(e10,op1(e13,e10)) != op1(e13,e10)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_299,plain,
( op2(e22,op2(e22,e22)) != op2(e22,e22)
| ~ sP5 ),
inference(cnf_transformation,[],[f315]) ).
cnf(c_300,plain,
( op2(e21,op2(e22,e21)) != op2(e22,e21)
| ~ sP5 ),
inference(cnf_transformation,[],[f314]) ).
cnf(c_301,plain,
( op2(e20,op2(e22,e20)) != op2(e22,e20)
| ~ sP5 ),
inference(cnf_transformation,[],[f313]) ).
cnf(c_303,plain,
( op2(e22,op2(e21,e22)) != op2(e21,e22)
| ~ sP4 ),
inference(cnf_transformation,[],[f319]) ).
cnf(c_305,plain,
( op2(e20,op2(e21,e20)) != op2(e21,e20)
| ~ sP4 ),
inference(cnf_transformation,[],[f317]) ).
cnf(c_307,plain,
( op2(e22,op2(e20,e22)) != op2(e20,e22)
| ~ sP3 ),
inference(cnf_transformation,[],[f323]) ).
cnf(c_309,plain,
( op2(e20,op2(e20,e20)) != op2(e20,e20)
| ~ sP3 ),
inference(cnf_transformation,[],[f321]) ).
cnf(c_311,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[],[f343]) ).
cnf(c_315,plain,
( op2(e22,e22) != e20
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f338]) ).
cnf(c_318,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[],[f334]) ).
cnf(c_321,plain,
( op2(e20,e20) != e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f331]) ).
cnf(c_322,plain,
( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f329]) ).
cnf(c_324,plain,
( op2(e22,op2(e23,e22)) != op2(e23,e22)
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f327]) ).
cnf(c_325,plain,
( op2(e21,op2(e23,e21)) != op2(e23,e21)
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f326]) ).
cnf(c_326,plain,
( op2(e20,op2(e23,e20)) != op2(e23,e20)
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f325]) ).
cnf(c_327,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = e12,
inference(cnf_transformation,[],[f348]) ).
cnf(c_328,plain,
op1(e13,e13) = e11,
inference(cnf_transformation,[],[f347]) ).
cnf(c_329,plain,
op1(op1(e13,e13),op1(e13,e13)) = e10,
inference(cnf_transformation,[],[f346]) ).
cnf(c_330,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
inference(cnf_transformation,[],[f351]) ).
cnf(c_331,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[],[f350]) ).
cnf(c_332,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(cnf_transformation,[],[f349]) ).
cnf(c_334,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f354]) ).
cnf(c_336,plain,
h1(e13) = e20,
inference(cnf_transformation,[],[f352]) ).
cnf(c_338,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f358]) ).
cnf(c_341,plain,
op2(e22,op2(op2(e22,e22),op2(e22,e22))) = h3(e12),
inference(cnf_transformation,[],[f363]) ).
cnf(c_342,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f362]) ).
cnf(c_343,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f361]) ).
cnf(c_344,plain,
h3(e13) = e22,
inference(cnf_transformation,[],[f360]) ).
cnf(c_345,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = h4(e12),
inference(cnf_transformation,[],[f367]) ).
cnf(c_346,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f366]) ).
cnf(c_347,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f365]) ).
cnf(c_348,plain,
h4(e13) = e23,
inference(cnf_transformation,[],[f364]) ).
cnf(c_350,plain,
( h4(e12) != e22
| ~ sP17 ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_355,plain,
( h4(e11) != e21
| ~ sP16 ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_360,plain,
( h4(e10) != e20
| ~ sP15 ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_397,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| h4(e13) != e23
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f431]) ).
cnf(c_400,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| h4(e10) != e23
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_449,plain,
op2(e23,e21) = e23,
inference(global_subsumption_just,[status(thm)],[c_99,c_331,c_311]) ).
cnf(c_461,plain,
op1(e13,e11) = e13,
inference(global_subsumption_just,[status(thm)],[c_51,c_328,c_282]) ).
cnf(c_489,plain,
( op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| sP17
| sP16
| sP15 ),
inference(global_subsumption_just,[status(thm)],[c_400,c_348,c_397]) ).
cnf(c_490,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| sP17
| sP16
| sP15 ),
inference(renaming,[status(thm)],[c_489]) ).
cnf(c_495,plain,
( op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| sP17
| sP16
| sP15 ),
inference(global_subsumption_just,[status(thm)],[c_397,c_490]) ).
cnf(c_496,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| sP17
| sP16
| sP15 ),
inference(renaming,[status(thm)],[c_495]) ).
cnf(c_5637,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_496,c_461,c_449,c_360,c_355,c_350,c_348,c_347,c_346,c_345,c_344,c_343,c_342,c_341,c_338,c_336,c_334,c_332,c_331,c_330,c_329,c_328,c_327,c_326,c_325,c_324,c_322,c_321,c_318,c_315,c_309,c_307,c_305,c_303,c_301,c_300,c_299,c_297,c_296,c_295,c_293,c_292,c_289,c_286,c_284,c_280,c_278,c_276,c_274,c_272,c_271,c_270,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_220,c_217,c_214,c_209,c_207,c_206,c_203,c_202,c_201,c_199,c_198,c_197,c_195,c_194,c_193,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_182,c_181,c_180,c_179,c_178,c_177,c_174,c_171,c_170,c_169,c_166,c_162,c_161,c_159,c_158,c_157,c_154,c_151,c_150,c_149,c_147,c_146,c_145,c_142,c_138,c_137,c_132,c_131,c_130,c_128,c_126,c_125,c_124,c_122,c_119,c_112,c_111,c_110,c_107,c_106,c_104,c_102,c_101,c_98,c_95,c_92,c_90,c_89,c_84,c_82,c_78,c_77,c_76,c_74,c_71,c_64,c_63,c_62,c_58,c_57,c_56,c_54,c_53,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : ALG125+1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.10 % Command : run_iprover %s %d THM
% 0.10/0.30 % Computer : n003.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Thu May 2 22:58:35 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 4.06/1.09 % SZS status Started for theBenchmark.p
% 4.06/1.09 % SZS status Theorem for theBenchmark.p
% 4.06/1.09
% 4.06/1.09 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.06/1.09
% 4.06/1.09 ------ iProver source info
% 4.06/1.09
% 4.06/1.09 git: date: 2024-05-02 19:28:25 +0000
% 4.06/1.09 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.06/1.09 git: non_committed_changes: false
% 4.06/1.09
% 4.06/1.09 ------ Parsing...
% 4.06/1.09 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.06/1.09
% 4.06/1.09 ------ Preprocessing... sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 4.06/1.09
% 4.06/1.09 ------ Preprocessing...
% 4.06/1.09
% 4.06/1.09 % SZS status Theorem for theBenchmark.p
% 4.06/1.09
% 4.06/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.06/1.10
% 4.06/1.10
%------------------------------------------------------------------------------