TSTP Solution File: ALG106+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG106+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:03:43 EDT 2024
% Result : Theorem 6.16s 1.66s
% Output : CNFRefutation 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 58
% Syntax : Number of formulae : 669 ( 232 unt; 0 def)
% Number of atoms : 3330 (2798 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 3956 (1295 ~;1703 |; 958 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 44 ( 42 usr; 43 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(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) ) )
& ( e13 = op1(e13,op1(e13,e13))
| e12 = op1(e12,op1(e12,e13))
| e11 = op1(e11,op1(e11,e13))
| e10 = op1(e10,op1(e10,e13)) )
& ( e13 = op1(e13,op1(e13,e12))
| e12 = op1(e12,op1(e12,e12))
| e11 = op1(e11,op1(e11,e12))
| e10 = op1(e10,op1(e10,e12)) )
& ( e13 = op1(e13,op1(e13,e11))
| e12 = op1(e12,op1(e12,e11))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e10,op1(e10,e11)) )
& ( e13 = op1(e13,op1(e13,e10))
| e12 = op1(e12,op1(e12,e10))
| e11 = op1(e11,op1(e11,e10))
| e10 = op1(e10,op1(e10,e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) ) )
& ( e23 = op2(e23,op2(e23,e23))
| e22 = op2(e22,op2(e22,e23))
| e21 = op2(e21,op2(e21,e23))
| e20 = op2(e20,op2(e20,e23)) )
& ( e23 = op2(e23,op2(e23,e22))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e21,op2(e21,e22))
| e20 = op2(e20,op2(e20,e22)) )
& ( e23 = op2(e23,op2(e23,e21))
| e22 = op2(e22,op2(e22,e21))
| e21 = op2(e21,op2(e21,e21))
| e20 = op2(e20,op2(e20,e21)) )
& ( e23 = op2(e23,op2(e23,e20))
| e22 = op2(e22,op2(e22,e20))
| e21 = op2(e21,op2(e21,e20))
| e20 = op2(e20,op2(e20,e20)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e12 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e10 = op1(op1(e13,op1(e13,e13)),e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e22 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e20 = op2(op2(e23,op2(e23,e23)),e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( op2(e20,op2(e20,e20)) = h1(e12)
& op2(e20,e20) = h1(e11)
& h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& e20 = h1(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( op2(e21,op2(e21,e21)) = h2(e12)
& op2(e21,e21) = h2(e11)
& h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& e21 = h2(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( op2(e22,op2(e22,e22)) = h3(e12)
& op2(e22,e22) = h3(e11)
& h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& e22 = h3(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
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,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f33,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f34,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f35,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f36,plain,
( ( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 )
& ( e13 = op1(e13,op1(e13,e13))
| e12 = op1(e12,op1(e12,e13))
| e11 = op1(e11,op1(e11,e13))
| e10 = op1(e10,op1(e10,e13)) )
& ( e13 = op1(e13,op1(e13,e12))
| e12 = op1(e12,op1(e12,e12))
| e11 = op1(e11,op1(e11,e12))
| e10 = op1(e10,op1(e10,e12)) )
& ( e13 = op1(e13,op1(e13,e11))
| e12 = op1(e12,op1(e12,e11))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e10,op1(e10,e11)) )
& ( e13 = op1(e13,op1(e13,e10))
| e12 = op1(e12,op1(e12,e10))
| e11 = op1(e11,op1(e11,e10))
| e10 = op1(e10,op1(e10,e10)) ) ),
inference(definition_folding,[],[f10,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f37,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f38,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f39,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f40,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f41,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f42,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f45,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f46,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f47,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f49,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f50,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f51,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f52,plain,
( ( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 )
& ( e23 = op2(e23,op2(e23,e23))
| e22 = op2(e22,op2(e22,e23))
| e21 = op2(e21,op2(e21,e23))
| e20 = op2(e20,op2(e20,e23)) )
& ( e23 = op2(e23,op2(e23,e22))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e21,op2(e21,e22))
| e20 = op2(e20,op2(e20,e22)) )
& ( e23 = op2(e23,op2(e23,e21))
| e22 = op2(e22,op2(e22,e21))
| e21 = op2(e21,op2(e21,e21))
| e20 = op2(e20,op2(e20,e21)) )
& ( e23 = op2(e23,op2(e23,e20))
| e22 = op2(e22,op2(e22,e20))
| e21 = op2(e21,op2(e21,e20))
| e20 = op2(e20,op2(e20,e20)) ) ),
inference(definition_folding,[],[f11,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37]) ).
fof(f53,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f54,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f55,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f56,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f57,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f58,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f59,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f60,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f61,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f62,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f63,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f64,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f65,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP41
| sP40
| sP39
| 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) )
| sP38
| sP37
| sP36
| 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) )
| sP35
| sP34
| sP33
| 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) )
| sP32
| sP31
| sP30
| 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,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53]) ).
fof(f66,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP14 ),
inference(nnf_transformation,[],[f35]) ).
fof(f67,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP13 ),
inference(nnf_transformation,[],[f34]) ).
fof(f68,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP12 ),
inference(nnf_transformation,[],[f33]) ).
fof(f69,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f70,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f71,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f72,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f73,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f74,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f75,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f76,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f77,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f78,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f79,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f80,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f81,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP29 ),
inference(nnf_transformation,[],[f51]) ).
fof(f82,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP28 ),
inference(nnf_transformation,[],[f50]) ).
fof(f83,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP27 ),
inference(nnf_transformation,[],[f49]) ).
fof(f84,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f85,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f86,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f87,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f88,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f89,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f90,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f91,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f92,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f93,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP17 ),
inference(nnf_transformation,[],[f39]) ).
fof(f94,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP16 ),
inference(nnf_transformation,[],[f38]) ).
fof(f95,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f99,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP38 ),
inference(nnf_transformation,[],[f61]) ).
fof(f100,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP37 ),
inference(nnf_transformation,[],[f60]) ).
fof(f101,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP36 ),
inference(nnf_transformation,[],[f59]) ).
fof(f111,plain,
( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f113,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f114,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f118,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f120,plain,
( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f123,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f124,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f125,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f126,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f128,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f131,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f132,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f133,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f142,plain,
( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f143,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f144,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f145,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f146,plain,
( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f148,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f153,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f154,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f157,plain,
( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f158,plain,
( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f160,plain,
( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f161,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f163,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f165,plain,
( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f166,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f171,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f174,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f176,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f179,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f180,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f181,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f182,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f184,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f186,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f187,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f190,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f191,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f192,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f193,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f194,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f196,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f201,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f203,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f204,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f205,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f207,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f208,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f210,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f211,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f212,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f214,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f215,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f216,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f219,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f221,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f223,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f224,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f225,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f226,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f228,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f233,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f237,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f241,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f242,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f244,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f245,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f247,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f248,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f249,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f251,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f253,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f255,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f259,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f260,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f261,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f262,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f263,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f264,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f265,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f269,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f270,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f271,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f272,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f273,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f274,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f276,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f278,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f279,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f280,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f281,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f282,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f283,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f284,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f285,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f288,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f290,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f291,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f292,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f293,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f297,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f299,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f300,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f301,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f302,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f303,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f304,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f305,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f306,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f307,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f308,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f309,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f310,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f311,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f329,plain,
( e13 = op1(e12,e13)
| ~ sP14 ),
inference(cnf_transformation,[],[f66]) ).
fof(f339,plain,
( e11 != op1(e13,e13)
| ~ sP13 ),
inference(cnf_transformation,[],[f67]) ).
fof(f340,plain,
( e13 = op1(e13,e10)
| ~ sP12 ),
inference(cnf_transformation,[],[f68]) ).
fof(f341,plain,
( e13 = op1(e10,e13)
| ~ sP12 ),
inference(cnf_transformation,[],[f68]) ).
fof(f343,plain,
( e10 != op1(e11,e11)
| ~ sP12 ),
inference(cnf_transformation,[],[f68]) ).
fof(f347,plain,
( e12 = op1(e13,e12)
| ~ sP11 ),
inference(cnf_transformation,[],[f69]) ).
fof(f352,plain,
( e12 = op1(e12,e12)
| ~ sP10 ),
inference(cnf_transformation,[],[f70]) ).
fof(f356,plain,
( e12 != op1(e12,e12)
| ~ sP10 ),
inference(cnf_transformation,[],[f70]) ).
fof(f363,plain,
( e11 != op1(e13,e13)
| ~ sP9 ),
inference(cnf_transformation,[],[f71]) ).
fof(f364,plain,
( e12 = op1(e12,e10)
| ~ sP8 ),
inference(cnf_transformation,[],[f72]) ).
fof(f365,plain,
( e12 = op1(e10,e12)
| ~ sP8 ),
inference(cnf_transformation,[],[f72]) ).
fof(f367,plain,
( e10 != op1(e11,e11)
| ~ sP8 ),
inference(cnf_transformation,[],[f72]) ).
fof(f371,plain,
( e11 = op1(e13,e11)
| ~ sP7 ),
inference(cnf_transformation,[],[f73]) ).
fof(f376,plain,
( e11 = op1(e11,e12)
| ~ sP6 ),
inference(cnf_transformation,[],[f74]) ).
fof(f377,plain,
( e11 = op1(e12,e11)
| ~ sP6 ),
inference(cnf_transformation,[],[f74]) ).
fof(f380,plain,
( e12 != op1(e12,e12)
| ~ sP6 ),
inference(cnf_transformation,[],[f74]) ).
fof(f387,plain,
( e11 != op1(e13,e13)
| ~ sP5 ),
inference(cnf_transformation,[],[f75]) ).
fof(f389,plain,
( e11 = op1(e10,e11)
| ~ sP4 ),
inference(cnf_transformation,[],[f76]) ).
fof(f391,plain,
( e10 != op1(e11,e11)
| ~ sP4 ),
inference(cnf_transformation,[],[f76]) ).
fof(f394,plain,
( e10 = op1(e10,e13)
| ~ sP3 ),
inference(cnf_transformation,[],[f77]) ).
fof(f401,plain,
( e10 = op1(e12,e10)
| ~ sP2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f411,plain,
( e11 != op1(e13,e13)
| ~ sP1 ),
inference(cnf_transformation,[],[f79]) ).
fof(f412,plain,
( e10 = op1(e10,e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f414,plain,
( e10 != op1(e10,e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f419,plain,
( e13 = op1(e13,op1(e13,e11))
| e12 = op1(e12,op1(e12,e11))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e10,op1(e10,e11)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f420,plain,
( e13 = op1(e13,op1(e13,e12))
| e12 = op1(e12,op1(e12,e12))
| e11 = op1(e11,op1(e11,e12))
| e10 = op1(e10,op1(e10,e12)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f421,plain,
( e13 = op1(e13,op1(e13,e13))
| e12 = op1(e12,op1(e12,e13))
| e11 = op1(e11,op1(e11,e13))
| e10 = op1(e10,op1(e10,e13)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f422,plain,
( e13 = op1(e13,e13)
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f36]) ).
fof(f427,plain,
( e13 != op1(e13,e13)
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f36]) ).
fof(f429,plain,
( e23 = op2(e22,e23)
| ~ sP29 ),
inference(cnf_transformation,[],[f81]) ).
fof(f439,plain,
( e21 != op2(e23,e23)
| ~ sP28 ),
inference(cnf_transformation,[],[f82]) ).
fof(f440,plain,
( e23 = op2(e23,e20)
| ~ sP27 ),
inference(cnf_transformation,[],[f83]) ).
fof(f441,plain,
( e23 = op2(e20,e23)
| ~ sP27 ),
inference(cnf_transformation,[],[f83]) ).
fof(f443,plain,
( e20 != op2(e21,e21)
| ~ sP27 ),
inference(cnf_transformation,[],[f83]) ).
fof(f447,plain,
( e22 = op2(e23,e22)
| ~ sP26 ),
inference(cnf_transformation,[],[f84]) ).
fof(f452,plain,
( e22 = op2(e22,e22)
| ~ sP25 ),
inference(cnf_transformation,[],[f85]) ).
fof(f456,plain,
( e22 != op2(e22,e22)
| ~ sP25 ),
inference(cnf_transformation,[],[f85]) ).
fof(f463,plain,
( e21 != op2(e23,e23)
| ~ sP24 ),
inference(cnf_transformation,[],[f86]) ).
fof(f464,plain,
( e22 = op2(e22,e20)
| ~ sP23 ),
inference(cnf_transformation,[],[f87]) ).
fof(f465,plain,
( e22 = op2(e20,e22)
| ~ sP23 ),
inference(cnf_transformation,[],[f87]) ).
fof(f467,plain,
( e20 != op2(e21,e21)
| ~ sP23 ),
inference(cnf_transformation,[],[f87]) ).
fof(f471,plain,
( e21 = op2(e23,e21)
| ~ sP22 ),
inference(cnf_transformation,[],[f88]) ).
fof(f476,plain,
( e21 = op2(e21,e22)
| ~ sP21 ),
inference(cnf_transformation,[],[f89]) ).
fof(f477,plain,
( e21 = op2(e22,e21)
| ~ sP21 ),
inference(cnf_transformation,[],[f89]) ).
fof(f480,plain,
( e22 != op2(e22,e22)
| ~ sP21 ),
inference(cnf_transformation,[],[f89]) ).
fof(f487,plain,
( e21 != op2(e23,e23)
| ~ sP20 ),
inference(cnf_transformation,[],[f90]) ).
fof(f488,plain,
( e21 = op2(e21,e20)
| ~ sP19 ),
inference(cnf_transformation,[],[f91]) ).
fof(f489,plain,
( e21 = op2(e20,e21)
| ~ sP19 ),
inference(cnf_transformation,[],[f91]) ).
fof(f491,plain,
( e20 != op2(e21,e21)
| ~ sP19 ),
inference(cnf_transformation,[],[f91]) ).
fof(f494,plain,
( e20 = op2(e20,e23)
| ~ sP18 ),
inference(cnf_transformation,[],[f92]) ).
fof(f501,plain,
( e20 = op2(e22,e20)
| ~ sP17 ),
inference(cnf_transformation,[],[f93]) ).
fof(f511,plain,
( e21 != op2(e23,e23)
| ~ sP16 ),
inference(cnf_transformation,[],[f94]) ).
fof(f512,plain,
( e20 = op2(e20,e20)
| ~ sP15 ),
inference(cnf_transformation,[],[f95]) ).
fof(f514,plain,
( e20 != op2(e20,e20)
| ~ sP15 ),
inference(cnf_transformation,[],[f95]) ).
fof(f519,plain,
( e23 = op2(e23,op2(e23,e21))
| e22 = op2(e22,op2(e22,e21))
| e21 = op2(e21,op2(e21,e21))
| e20 = op2(e20,op2(e20,e21)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f520,plain,
( e23 = op2(e23,op2(e23,e22))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e21,op2(e21,e22))
| e20 = op2(e20,op2(e20,e22)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f521,plain,
( e23 = op2(e23,op2(e23,e23))
| e22 = op2(e22,op2(e22,e23))
| e21 = op2(e21,op2(e21,e23))
| e20 = op2(e20,op2(e20,e23)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f522,plain,
( e23 = op2(e23,e23)
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f52]) ).
fof(f527,plain,
( e23 != op2(e23,e23)
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f52]) ).
fof(f528,plain,
e10 = op1(op1(e13,op1(e13,e13)),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f529,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f530,plain,
e12 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f531,plain,
e20 = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f532,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f533,plain,
e22 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f536,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f540,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f541,plain,
op2(e21,op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f542,plain,
e22 = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f543,plain,
h3(e10) = op2(op2(e22,op2(e22,e22)),e22),
inference(cnf_transformation,[],[f16]) ).
fof(f544,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f545,plain,
op2(e22,op2(e22,e22)) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f565,plain,
( e22 != h3(e13)
| ~ sP38 ),
inference(cnf_transformation,[],[f99]) ).
fof(f567,plain,
( e21 != h3(e11)
| ~ sP37 ),
inference(cnf_transformation,[],[f100]) ).
fof(f570,plain,
( e20 != h3(e10)
| ~ sP36 ),
inference(cnf_transformation,[],[f101]) ).
fof(f608,plain,
( e23 != h3(e12)
| sP38
| sP37
| sP36
| 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)) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_49,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_52,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_54,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_58,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_59,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_61,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_66,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_67,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_72,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_73,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_74,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_75,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_76,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_77,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_78,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_84,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_86,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_87,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_88,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_89,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_92,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_94,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_95,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_96,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_97,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_102,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_103,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_105,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_107,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_108,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_110,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_111,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_113,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[],[f203]) ).
cnf(c_114,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[],[f202]) ).
cnf(c_115,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[],[f201]) ).
cnf(c_120,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[],[f196]) ).
cnf(c_122,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_123,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(cnf_transformation,[],[f193]) ).
cnf(c_124,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_125,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_126,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(cnf_transformation,[],[f190]) ).
cnf(c_129,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[],[f187]) ).
cnf(c_130,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[],[f186]) ).
cnf(c_132,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(cnf_transformation,[],[f184]) ).
cnf(c_134,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_135,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_136,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_137,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_140,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f176]) ).
cnf(c_142,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_145,plain,
op1(e13,e13) != op1(e13,e12),
inference(cnf_transformation,[],[f251]) ).
cnf(c_147,plain,
op1(e13,e12) != op1(e13,e11),
inference(cnf_transformation,[],[f249]) ).
cnf(c_148,plain,
op1(e13,e13) != op1(e13,e10),
inference(cnf_transformation,[],[f248]) ).
cnf(c_149,plain,
op1(e13,e12) != op1(e13,e10),
inference(cnf_transformation,[],[f247]) ).
cnf(c_150,plain,
op1(e13,e11) != op1(e13,e10),
inference(cnf_transformation,[],[f246]) ).
cnf(c_151,plain,
op1(e12,e13) != op1(e12,e12),
inference(cnf_transformation,[],[f245]) ).
cnf(c_152,plain,
op1(e12,e13) != op1(e12,e11),
inference(cnf_transformation,[],[f244]) ).
cnf(c_154,plain,
op1(e12,e13) != op1(e12,e10),
inference(cnf_transformation,[],[f242]) ).
cnf(c_155,plain,
op1(e12,e12) != op1(e12,e10),
inference(cnf_transformation,[],[f241]) ).
cnf(c_159,plain,
op1(e11,e12) != op1(e11,e11),
inference(cnf_transformation,[],[f237]) ).
cnf(c_163,plain,
op1(e10,e13) != op1(e10,e12),
inference(cnf_transformation,[],[f233]) ).
cnf(c_168,plain,
op1(e10,e11) != op1(e10,e10),
inference(cnf_transformation,[],[f228]) ).
cnf(c_170,plain,
op1(e13,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f226]) ).
cnf(c_171,plain,
op1(e12,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f225]) ).
cnf(c_172,plain,
op1(e13,e13) != op1(e10,e13),
inference(cnf_transformation,[],[f224]) ).
cnf(c_173,plain,
op1(e12,e13) != op1(e10,e13),
inference(cnf_transformation,[],[f223]) ).
cnf(c_175,plain,
op1(e13,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f221]) ).
cnf(c_176,plain,
op1(e13,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f220]) ).
cnf(c_177,plain,
op1(e12,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f219]) ).
cnf(c_180,plain,
op1(e11,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f216]) ).
cnf(c_181,plain,
op1(e13,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f215]) ).
cnf(c_182,plain,
op1(e13,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f214]) ).
cnf(c_184,plain,
op1(e13,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f212]) ).
cnf(c_185,plain,
op1(e12,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f211]) ).
cnf(c_186,plain,
op1(e11,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f210]) ).
cnf(c_188,plain,
op1(e13,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f208]) ).
cnf(c_189,plain,
op1(e12,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f207]) ).
cnf(c_191,plain,
op1(e12,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f205]) ).
cnf(c_192,plain,
op1(e11,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f204]) ).
cnf(c_193,plain,
op2(e23,e23) != op2(e23,e22),
inference(cnf_transformation,[],[f299]) ).
cnf(c_195,plain,
op2(e23,e22) != op2(e23,e21),
inference(cnf_transformation,[],[f297]) ).
cnf(c_199,plain,
op2(e22,e23) != op2(e22,e22),
inference(cnf_transformation,[],[f293]) ).
cnf(c_200,plain,
op2(e22,e23) != op2(e22,e21),
inference(cnf_transformation,[],[f292]) ).
cnf(c_201,plain,
op2(e22,e22) != op2(e22,e21),
inference(cnf_transformation,[],[f291]) ).
cnf(c_202,plain,
op2(e22,e23) != op2(e22,e20),
inference(cnf_transformation,[],[f290]) ).
cnf(c_204,plain,
op2(e22,e21) != op2(e22,e20),
inference(cnf_transformation,[],[f288]) ).
cnf(c_207,plain,
op2(e21,e22) != op2(e21,e21),
inference(cnf_transformation,[],[f285]) ).
cnf(c_208,plain,
op2(e21,e23) != op2(e21,e20),
inference(cnf_transformation,[],[f284]) ).
cnf(c_209,plain,
op2(e21,e22) != op2(e21,e20),
inference(cnf_transformation,[],[f283]) ).
cnf(c_210,plain,
op2(e21,e21) != op2(e21,e20),
inference(cnf_transformation,[],[f282]) ).
cnf(c_211,plain,
op2(e20,e23) != op2(e20,e22),
inference(cnf_transformation,[],[f281]) ).
cnf(c_212,plain,
op2(e20,e23) != op2(e20,e21),
inference(cnf_transformation,[],[f280]) ).
cnf(c_213,plain,
op2(e20,e22) != op2(e20,e21),
inference(cnf_transformation,[],[f279]) ).
cnf(c_214,plain,
op2(e20,e23) != op2(e20,e20),
inference(cnf_transformation,[],[f278]) ).
cnf(c_216,plain,
op2(e20,e21) != op2(e20,e20),
inference(cnf_transformation,[],[f276]) ).
cnf(c_218,plain,
op2(e23,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f274]) ).
cnf(c_219,plain,
op2(e22,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f273]) ).
cnf(c_220,plain,
op2(e23,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f272]) ).
cnf(c_221,plain,
op2(e22,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f271]) ).
cnf(c_222,plain,
op2(e21,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f270]) ).
cnf(c_223,plain,
op2(e23,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f269]) ).
cnf(c_227,plain,
op2(e22,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f265]) ).
cnf(c_228,plain,
op2(e21,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f264]) ).
cnf(c_229,plain,
op2(e23,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f263]) ).
cnf(c_230,plain,
op2(e23,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f262]) ).
cnf(c_231,plain,
op2(e22,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f261]) ).
cnf(c_232,plain,
op2(e23,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f260]) ).
cnf(c_233,plain,
op2(e22,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f259]) ).
cnf(c_236,plain,
op2(e23,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f256]) ).
cnf(c_237,plain,
op2(e22,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f255]) ).
cnf(c_239,plain,
op2(e22,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f253]) ).
cnf(c_241,plain,
e13 != e12,
inference(cnf_transformation,[],[f305]) ).
cnf(c_242,plain,
e13 != e11,
inference(cnf_transformation,[],[f304]) ).
cnf(c_243,plain,
e12 != e11,
inference(cnf_transformation,[],[f303]) ).
cnf(c_244,plain,
e13 != e10,
inference(cnf_transformation,[],[f302]) ).
cnf(c_245,plain,
e12 != e10,
inference(cnf_transformation,[],[f301]) ).
cnf(c_246,plain,
e11 != e10,
inference(cnf_transformation,[],[f300]) ).
cnf(c_247,plain,
e23 != e22,
inference(cnf_transformation,[],[f311]) ).
cnf(c_248,plain,
e23 != e21,
inference(cnf_transformation,[],[f310]) ).
cnf(c_249,plain,
e22 != e21,
inference(cnf_transformation,[],[f309]) ).
cnf(c_250,plain,
e23 != e20,
inference(cnf_transformation,[],[f308]) ).
cnf(c_251,plain,
e22 != e20,
inference(cnf_transformation,[],[f307]) ).
cnf(c_252,plain,
e21 != e20,
inference(cnf_transformation,[],[f306]) ).
cnf(c_273,plain,
( ~ sP14
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[],[f329]) ).
cnf(c_275,plain,
( op1(e13,e13) != e11
| ~ sP13 ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_283,plain,
( op1(e11,e11) != e10
| ~ sP12 ),
inference(cnf_transformation,[],[f343]) ).
cnf(c_285,plain,
( ~ sP12
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[],[f341]) ).
cnf(c_286,plain,
( ~ sP12
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_291,plain,
( ~ sP11
| op1(e13,e12) = e12 ),
inference(cnf_transformation,[],[f347]) ).
cnf(c_294,plain,
( op1(e12,e12) != e12
| ~ sP10 ),
inference(cnf_transformation,[],[f356]) ).
cnf(c_298,plain,
( ~ sP10
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_299,plain,
( op1(e13,e13) != e11
| ~ sP9 ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_307,plain,
( op1(e11,e11) != e10
| ~ sP8 ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_309,plain,
( ~ sP8
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_310,plain,
( ~ sP8
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_315,plain,
( ~ sP7
| op1(e13,e11) = e11 ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_318,plain,
( op1(e12,e12) != e12
| ~ sP6 ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_321,plain,
( ~ sP6
| op1(e12,e11) = e11 ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_322,plain,
( ~ sP6
| op1(e11,e12) = e11 ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_323,plain,
( op1(e13,e13) != e11
| ~ sP5 ),
inference(cnf_transformation,[],[f387]) ).
cnf(c_331,plain,
( op1(e11,e11) != e10
| ~ sP4 ),
inference(cnf_transformation,[],[f391]) ).
cnf(c_333,plain,
( ~ sP4
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[],[f389]) ).
cnf(c_340,plain,
( ~ sP3
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[],[f394]) ).
cnf(c_345,plain,
( ~ sP2
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[],[f401]) ).
cnf(c_347,plain,
( op1(e13,e13) != e11
| ~ sP1 ),
inference(cnf_transformation,[],[f411]) ).
cnf(c_356,plain,
( op1(e10,e10) != e10
| ~ sP0 ),
inference(cnf_transformation,[],[f414]) ).
cnf(c_358,plain,
( ~ sP0
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_359,plain,
( op1(e13,e13) != e13
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_364,plain,
( op1(e13,e13) = e13
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f422]) ).
cnf(c_365,plain,
( op1(e13,op1(e13,e13)) = e13
| op1(e12,op1(e12,e13)) = e12
| op1(e11,op1(e11,e13)) = e11
| op1(e10,op1(e10,e13)) = e10 ),
inference(cnf_transformation,[],[f421]) ).
cnf(c_366,plain,
( op1(e13,op1(e13,e12)) = e13
| op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e12)) = e11
| op1(e10,op1(e10,e12)) = e10 ),
inference(cnf_transformation,[],[f420]) ).
cnf(c_367,plain,
( op1(e13,op1(e13,e11)) = e13
| op1(e12,op1(e12,e11)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e11)) = e10 ),
inference(cnf_transformation,[],[f419]) ).
cnf(c_373,plain,
( ~ sP29
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[],[f429]) ).
cnf(c_375,plain,
( op2(e23,e23) != e21
| ~ sP28 ),
inference(cnf_transformation,[],[f439]) ).
cnf(c_383,plain,
( op2(e21,e21) != e20
| ~ sP27 ),
inference(cnf_transformation,[],[f443]) ).
cnf(c_385,plain,
( ~ sP27
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[],[f441]) ).
cnf(c_386,plain,
( ~ sP27
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[],[f440]) ).
cnf(c_391,plain,
( ~ sP26
| op2(e23,e22) = e22 ),
inference(cnf_transformation,[],[f447]) ).
cnf(c_394,plain,
( op2(e22,e22) != e22
| ~ sP25 ),
inference(cnf_transformation,[],[f456]) ).
cnf(c_398,plain,
( ~ sP25
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[],[f452]) ).
cnf(c_399,plain,
( op2(e23,e23) != e21
| ~ sP24 ),
inference(cnf_transformation,[],[f463]) ).
cnf(c_407,plain,
( op2(e21,e21) != e20
| ~ sP23 ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_409,plain,
( ~ sP23
| op2(e20,e22) = e22 ),
inference(cnf_transformation,[],[f465]) ).
cnf(c_410,plain,
( ~ sP23
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f464]) ).
cnf(c_415,plain,
( ~ sP22
| op2(e23,e21) = e21 ),
inference(cnf_transformation,[],[f471]) ).
cnf(c_418,plain,
( op2(e22,e22) != e22
| ~ sP21 ),
inference(cnf_transformation,[],[f480]) ).
cnf(c_421,plain,
( ~ sP21
| op2(e22,e21) = e21 ),
inference(cnf_transformation,[],[f477]) ).
cnf(c_422,plain,
( ~ sP21
| op2(e21,e22) = e21 ),
inference(cnf_transformation,[],[f476]) ).
cnf(c_423,plain,
( op2(e23,e23) != e21
| ~ sP20 ),
inference(cnf_transformation,[],[f487]) ).
cnf(c_431,plain,
( op2(e21,e21) != e20
| ~ sP19 ),
inference(cnf_transformation,[],[f491]) ).
cnf(c_433,plain,
( ~ sP19
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[],[f489]) ).
cnf(c_434,plain,
( ~ sP19
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[],[f488]) ).
cnf(c_440,plain,
( ~ sP18
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[],[f494]) ).
cnf(c_445,plain,
( ~ sP17
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[],[f501]) ).
cnf(c_447,plain,
( op2(e23,e23) != e21
| ~ sP16 ),
inference(cnf_transformation,[],[f511]) ).
cnf(c_456,plain,
( op2(e20,e20) != e20
| ~ sP15 ),
inference(cnf_transformation,[],[f514]) ).
cnf(c_458,plain,
( ~ sP15
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f512]) ).
cnf(c_459,plain,
( op2(e23,e23) != e23
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f527]) ).
cnf(c_464,plain,
( op2(e23,e23) = e23
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f522]) ).
cnf(c_465,plain,
( op2(e23,op2(e23,e23)) = e23
| op2(e22,op2(e22,e23)) = e22
| op2(e21,op2(e21,e23)) = e21
| op2(e20,op2(e20,e23)) = e20 ),
inference(cnf_transformation,[],[f521]) ).
cnf(c_466,plain,
( op2(e23,op2(e23,e22)) = e23
| op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e22)) = e21
| op2(e20,op2(e20,e22)) = e20 ),
inference(cnf_transformation,[],[f520]) ).
cnf(c_467,plain,
( op2(e23,op2(e23,e21)) = e23
| op2(e22,op2(e22,e21)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e20,e21)) = e20 ),
inference(cnf_transformation,[],[f519]) ).
cnf(c_469,plain,
op1(e13,op1(e13,e13)) = e12,
inference(cnf_transformation,[],[f530]) ).
cnf(c_470,plain,
op1(e13,e13) = e11,
inference(cnf_transformation,[],[f529]) ).
cnf(c_471,plain,
op1(op1(e13,op1(e13,e13)),e13) = e10,
inference(cnf_transformation,[],[f528]) ).
cnf(c_472,plain,
op2(e23,op2(e23,e23)) = e22,
inference(cnf_transformation,[],[f533]) ).
cnf(c_473,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[],[f532]) ).
cnf(c_474,plain,
op2(op2(e23,op2(e23,e23)),e23) = e20,
inference(cnf_transformation,[],[f531]) ).
cnf(c_476,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f536]) ).
cnf(c_479,plain,
op2(e21,op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f541]) ).
cnf(c_480,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f540]) ).
cnf(c_483,plain,
op2(e22,op2(e22,e22)) = h3(e12),
inference(cnf_transformation,[],[f545]) ).
cnf(c_484,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f544]) ).
cnf(c_485,plain,
op2(op2(e22,op2(e22,e22)),e22) = h3(e10),
inference(cnf_transformation,[],[f543]) ).
cnf(c_486,plain,
h3(e13) = e22,
inference(cnf_transformation,[],[f542]) ).
cnf(c_503,plain,
( h3(e13) != e22
| ~ sP38 ),
inference(cnf_transformation,[],[f565]) ).
cnf(c_509,plain,
( h3(e11) != e21
| ~ sP37 ),
inference(cnf_transformation,[],[f567]) ).
cnf(c_514,plain,
( h3(e10) != e20
| ~ sP36 ),
inference(cnf_transformation,[],[f570]) ).
cnf(c_544,negated_conjecture,
( op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| h3(e12) != e23
| sP38
| sP37
| sP36 ),
inference(cnf_transformation,[],[f608]) ).
cnf(c_579,plain,
~ sP15,
inference(global_subsumption_just,[status(thm)],[c_458,c_458,c_456]) ).
cnf(c_595,plain,
~ sP25,
inference(global_subsumption_just,[status(thm)],[c_398,c_398,c_394]) ).
cnf(c_603,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_358,c_358,c_356]) ).
cnf(c_619,plain,
~ sP10,
inference(global_subsumption_just,[status(thm)],[c_298,c_298,c_294]) ).
cnf(c_723,plain,
( sP21
| sP22
| sP23
| sP26
| sP27
| sP29
| sP19
| sP18
| sP17 ),
inference(global_subsumption_just,[status(thm)],[c_464,c_473,c_447,c_423,c_399,c_375,c_464,c_459,c_579,c_595]) ).
cnf(c_724,plain,
( sP29
| sP27
| sP26
| sP23
| sP22
| sP21
| sP19
| sP18
| sP17 ),
inference(renaming,[status(thm)],[c_723]) ).
cnf(c_727,plain,
( sP6
| sP7
| sP8
| sP11
| sP12
| sP14
| sP4
| sP3
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_364,c_470,c_347,c_323,c_299,c_275,c_364,c_359,c_603,c_619]) ).
cnf(c_728,plain,
( sP14
| sP12
| sP11
| sP8
| sP7
| sP6
| sP4
| sP3
| sP2 ),
inference(renaming,[status(thm)],[c_727]) ).
cnf(c_737,plain,
( sP21
| sP22
| sP23
| sP26
| sP27
| sP29
| sP19
| sP18
| sP17 ),
inference(global_subsumption_just,[status(thm)],[c_459,c_724]) ).
cnf(c_738,plain,
( sP29
| sP27
| sP26
| sP23
| sP22
| sP21
| sP19
| sP18
| sP17 ),
inference(renaming,[status(thm)],[c_737]) ).
cnf(c_745,plain,
( sP6
| sP7
| sP8
| sP11
| sP12
| sP14
| sP4
| sP3
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_359,c_728]) ).
cnf(c_746,plain,
( sP14
| sP12
| sP11
| sP8
| sP7
| sP6
| sP4
| sP3
| sP2 ),
inference(renaming,[status(thm)],[c_745]) ).
cnf(c_751,plain,
op2(e23,e23) = e21,
inference(global_subsumption_just,[status(thm)],[c_97,c_473]) ).
cnf(c_757,plain,
op1(e13,e13) = e11,
inference(global_subsumption_just,[status(thm)],[c_49,c_470]) ).
cnf(c_779,plain,
( h3(e12) != e23
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| sP37
| sP36 ),
inference(global_subsumption_just,[status(thm)],[c_544,c_486,c_503,c_544]) ).
cnf(c_780,negated_conjecture,
( op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| h3(e12) != e23
| sP37
| sP36 ),
inference(renaming,[status(thm)],[c_779]) ).
cnf(c_3106,plain,
op2(e23,e21) = e22,
inference(light_normalisation,[status(thm)],[c_472,c_751]) ).
cnf(c_3107,plain,
op1(e13,e11) = e12,
inference(light_normalisation,[status(thm)],[c_469,c_757]) ).
cnf(c_3144,plain,
( ~ sP22
| e22 = e21 ),
inference(light_normalisation,[status(thm)],[c_415,c_3106]) ).
cnf(c_3145,plain,
~ sP22,
inference(forward_subsumption_resolution,[status(thm)],[c_3144,c_249]) ).
cnf(c_3214,plain,
( ~ sP7
| e12 = e11 ),
inference(light_normalisation,[status(thm)],[c_315,c_3107]) ).
cnf(c_3215,plain,
~ sP7,
inference(forward_subsumption_resolution,[status(thm)],[c_3214,c_243]) ).
cnf(c_3248,plain,
( sP14
| sP12
| sP11
| sP8
| sP6
| sP4
| sP3
| sP2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_746,c_3215]) ).
cnf(c_3265,plain,
( sP29
| sP27
| sP26
| sP23
| sP21
| sP19
| sP18
| sP17 ),
inference(forward_subsumption_resolution,[status(thm)],[c_738,c_3145]) ).
cnf(c_3286,plain,
op2(e22,h3(e11)) = h3(e12),
inference(light_normalisation,[status(thm)],[c_483,c_484]) ).
cnf(c_3287,plain,
op2(e21,h2(e11)) = h2(e12),
inference(light_normalisation,[status(thm)],[c_479,c_480]) ).
cnf(c_3326,plain,
( h2(e11) != e20
| ~ sP19 ),
inference(light_normalisation,[status(thm)],[c_431,c_480]) ).
cnf(c_3347,plain,
( h3(e11) != e22
| ~ sP21 ),
inference(light_normalisation,[status(thm)],[c_418,c_484]) ).
cnf(c_3358,plain,
( h2(e11) != e20
| ~ sP23 ),
inference(light_normalisation,[status(thm)],[c_407,c_480]) ).
cnf(c_3390,plain,
( h2(e11) != e20
| ~ sP27 ),
inference(light_normalisation,[status(thm)],[c_383,c_480]) ).
cnf(c_3522,plain,
op2(e22,e20) != h1(e11),
inference(light_normalisation,[status(thm)],[c_239,c_476]) ).
cnf(c_3525,plain,
op2(e20,e21) != e22,
inference(light_normalisation,[status(thm)],[c_232,c_3106]) ).
cnf(c_3526,plain,
op2(e22,e21) != h2(e11),
inference(light_normalisation,[status(thm)],[c_231,c_480]) ).
cnf(c_3527,plain,
h2(e11) != e22,
inference(light_normalisation,[status(thm)],[c_230,c_480,c_3106]) ).
cnf(c_3528,plain,
op2(e22,e21) != e22,
inference(light_normalisation,[status(thm)],[c_229,c_3106]) ).
cnf(c_3529,plain,
op2(e20,e22) != h3(e11),
inference(light_normalisation,[status(thm)],[c_227,c_484]) ).
cnf(c_3531,plain,
op2(e23,e22) != h3(e11),
inference(light_normalisation,[status(thm)],[c_223,c_484]) ).
cnf(c_3532,plain,
op2(e20,e23) != e21,
inference(light_normalisation,[status(thm)],[c_220,c_751]) ).
cnf(c_3533,plain,
op2(e21,e23) != e21,
inference(light_normalisation,[status(thm)],[c_218,c_751]) ).
cnf(c_3535,plain,
op2(e20,e21) != h1(e11),
inference(light_normalisation,[status(thm)],[c_216,c_476]) ).
cnf(c_3537,plain,
op2(e20,e23) != h1(e11),
inference(light_normalisation,[status(thm)],[c_214,c_476]) ).
cnf(c_3538,plain,
op2(e21,e20) != h2(e11),
inference(light_normalisation,[status(thm)],[c_210,c_480]) ).
cnf(c_3539,plain,
op2(e21,e22) != h2(e11),
inference(light_normalisation,[status(thm)],[c_207,c_480]) ).
cnf(c_3542,plain,
op2(e22,e21) != h3(e11),
inference(light_normalisation,[status(thm)],[c_201,c_484]) ).
cnf(c_3543,plain,
op2(e22,e23) != h3(e11),
inference(light_normalisation,[status(thm)],[c_199,c_484]) ).
cnf(c_3546,plain,
op2(e23,e22) != e22,
inference(light_normalisation,[status(thm)],[c_195,c_3106]) ).
cnf(c_3547,plain,
~ sP26,
inference(backward_subsumption_resolution,[status(thm)],[c_391,c_3546]) ).
cnf(c_3548,plain,
( sP29
| sP27
| sP23
| sP21
| sP19
| sP18
| sP17 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3265,c_3547]) ).
cnf(c_3564,plain,
op2(e23,e22) != e21,
inference(light_normalisation,[status(thm)],[c_193,c_751]) ).
cnf(c_3565,plain,
op1(e10,e11) != e12,
inference(light_normalisation,[status(thm)],[c_184,c_3107]) ).
cnf(c_3566,plain,
op1(e11,e11) != e12,
inference(light_normalisation,[status(thm)],[c_182,c_3107]) ).
cnf(c_3567,plain,
op1(e12,e11) != e12,
inference(light_normalisation,[status(thm)],[c_181,c_3107]) ).
cnf(c_3568,plain,
op1(e10,e13) != e11,
inference(light_normalisation,[status(thm)],[c_172,c_757]) ).
cnf(c_3569,plain,
op1(e11,e13) != e11,
inference(light_normalisation,[status(thm)],[c_170,c_757]) ).
cnf(c_3571,plain,
op1(e13,e10) != e12,
inference(light_normalisation,[status(thm)],[c_150,c_3107]) ).
cnf(c_3572,plain,
op1(e13,e10) != e11,
inference(light_normalisation,[status(thm)],[c_148,c_757]) ).
cnf(c_3573,plain,
op1(e13,e12) != e12,
inference(light_normalisation,[status(thm)],[c_147,c_3107]) ).
cnf(c_3574,plain,
~ sP11,
inference(backward_subsumption_resolution,[status(thm)],[c_291,c_3573]) ).
cnf(c_3575,plain,
( sP14
| sP12
| sP8
| sP6
| sP4
| sP3
| sP2 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3248,c_3574]) ).
cnf(c_3591,plain,
op1(e13,e12) != e11,
inference(light_normalisation,[status(thm)],[c_145,c_757]) ).
cnf(c_3592,plain,
op2(e22,e23) = e20,
inference(light_normalisation,[status(thm)],[c_474,c_751,c_3106]) ).
cnf(c_3593,plain,
h3(e11) != e20,
inference(demodulation,[status(thm)],[c_3543,c_3592]) ).
cnf(c_3594,plain,
op2(e22,e21) != e20,
inference(demodulation,[status(thm)],[c_200,c_3592]) ).
cnf(c_3595,plain,
op2(e22,e20) != e20,
inference(demodulation,[status(thm)],[c_202,c_3592]) ).
cnf(c_3597,plain,
op2(e21,e23) != e20,
inference(demodulation,[status(thm)],[c_219,c_3592]) ).
cnf(c_3598,plain,
op2(e20,e23) != e20,
inference(demodulation,[status(thm)],[c_221,c_3592]) ).
cnf(c_3599,plain,
( ~ sP29
| e23 = e20 ),
inference(demodulation,[status(thm)],[c_373,c_3592]) ).
cnf(c_3600,plain,
~ sP29,
inference(forward_subsumption_resolution,[status(thm)],[c_3599,c_250]) ).
cnf(c_3601,plain,
( sP27
| sP23
| sP21
| sP19
| sP18
| sP17 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3548,c_3600]) ).
cnf(c_3614,plain,
~ sP18,
inference(backward_subsumption_resolution,[status(thm)],[c_440,c_3598]) ).
cnf(c_3615,plain,
( sP27
| sP23
| sP21
| sP19
| sP17 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3601,c_3614]) ).
cnf(c_3626,plain,
~ sP17,
inference(backward_subsumption_resolution,[status(thm)],[c_445,c_3595]) ).
cnf(c_3627,plain,
( sP27
| sP23
| sP21
| sP19 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3615,c_3626]) ).
cnf(c_3636,plain,
op1(e12,e13) = e10,
inference(light_normalisation,[status(thm)],[c_471,c_757,c_3107]) ).
cnf(c_3637,plain,
op1(e12,e12) != e10,
inference(demodulation,[status(thm)],[c_151,c_3636]) ).
cnf(c_3638,plain,
op1(e12,e11) != e10,
inference(demodulation,[status(thm)],[c_152,c_3636]) ).
cnf(c_3639,plain,
op1(e12,e10) != e10,
inference(demodulation,[status(thm)],[c_154,c_3636]) ).
cnf(c_3641,plain,
op1(e11,e13) != e10,
inference(demodulation,[status(thm)],[c_171,c_3636]) ).
cnf(c_3642,plain,
op1(e10,e13) != e10,
inference(demodulation,[status(thm)],[c_173,c_3636]) ).
cnf(c_3643,plain,
( ~ sP14
| e13 = e10 ),
inference(demodulation,[status(thm)],[c_273,c_3636]) ).
cnf(c_3644,plain,
~ sP14,
inference(forward_subsumption_resolution,[status(thm)],[c_3643,c_244]) ).
cnf(c_3645,plain,
( sP12
| sP8
| sP6
| sP4
| sP3
| sP2 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3575,c_3644]) ).
cnf(c_3658,plain,
~ sP3,
inference(backward_subsumption_resolution,[status(thm)],[c_340,c_3642]) ).
cnf(c_3659,plain,
( sP12
| sP8
| sP6
| sP4
| sP2 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3645,c_3658]) ).
cnf(c_3670,plain,
~ sP2,
inference(backward_subsumption_resolution,[status(thm)],[c_345,c_3639]) ).
cnf(c_3671,plain,
( sP12
| sP8
| sP6
| sP4 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3659,c_3670]) ).
cnf(c_3683,plain,
op2(h3(e12),e22) = h3(e10),
inference(light_normalisation,[status(thm)],[c_485,c_484,c_3286]) ).
cnf(c_3702,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| h1(e11) = e21 ),
inference(light_normalisation,[status(thm)],[c_142,c_476]) ).
cnf(c_3703,plain,
( op2(e20,e22) = e21
| op2(e20,e21) = e21
| h1(e11) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3702,c_3532]) ).
cnf(c_3718,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| h1(e11) = e22 ),
inference(light_normalisation,[status(thm)],[c_140,c_476]) ).
cnf(c_3719,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| h1(e11) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3718,c_3525]) ).
cnf(c_3743,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| h1(e11) = e23 ),
inference(light_normalisation,[status(thm)],[c_137,c_476]) ).
cnf(c_3752,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e20) = e20
| h2(e11) = e20 ),
inference(light_normalisation,[status(thm)],[c_136,c_480]) ).
cnf(c_3753,plain,
( op2(e21,e22) = e20
| op2(e21,e20) = e20
| h2(e11) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3752,c_3597]) ).
cnf(c_3760,plain,
( op2(e22,e21) = e20
| op2(e20,e21) = e20
| h2(e11) = e20
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_135,c_480,c_3106]) ).
cnf(c_3761,plain,
( op2(e20,e21) = e20
| h2(e11) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3760,c_251,c_3594]) ).
cnf(c_3766,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e20) = e21
| h2(e11) = e21 ),
inference(light_normalisation,[status(thm)],[c_134,c_480]) ).
cnf(c_3767,plain,
( op2(e21,e22) = e21
| op2(e21,e20) = e21
| h2(e11) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3766,c_3533]) ).
cnf(c_3782,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e20) = e22
| h2(e11) = e22 ),
inference(light_normalisation,[status(thm)],[c_132,c_480]) ).
cnf(c_3783,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e20) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3782,c_3527]) ).
cnf(c_3790,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e20) = e23
| h2(e11) = e23 ),
inference(light_normalisation,[status(thm)],[c_130,c_480]) ).
cnf(c_3799,plain,
( op2(e22,e21) = e23
| op2(e20,e21) = e23
| h2(e11) = e23
| e23 = e22 ),
inference(light_normalisation,[status(thm)],[c_129,c_480,c_3106]) ).
cnf(c_3800,plain,
( op2(e22,e21) = e23
| op2(e20,e21) = e23
| h2(e11) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3799,c_247]) ).
cnf(c_3815,plain,
( op2(e22,e21) = e21
| op2(e22,e20) = e21
| h3(e11) = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_126,c_484,c_3592]) ).
cnf(c_3816,plain,
( op2(e22,e21) = e21
| op2(e22,e20) = e21
| h3(e11) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3815,c_252]) ).
cnf(c_3823,plain,
( op2(e23,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21
| h3(e11) = e21 ),
inference(light_normalisation,[status(thm)],[c_125,c_484]) ).
cnf(c_3824,plain,
( op2(e21,e22) = e21
| op2(e20,e22) = e21
| h3(e11) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3823,c_3564]) ).
cnf(c_3831,plain,
( op2(e22,e21) = e22
| op2(e22,e20) = e22
| h3(e11) = e22
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_124,c_484,c_3592]) ).
cnf(c_3832,plain,
( op2(e22,e20) = e22
| h3(e11) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3831,c_251,c_3528]) ).
cnf(c_3837,plain,
( op2(e23,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22
| h3(e11) = e22 ),
inference(light_normalisation,[status(thm)],[c_123,c_484]) ).
cnf(c_3838,plain,
( op2(e21,e22) = e22
| op2(e20,e22) = e22
| h3(e11) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3837,c_3546]) ).
cnf(c_3845,plain,
( op2(e22,e21) = e23
| op2(e22,e20) = e23
| h3(e11) = e23
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_122,c_484,c_3592]) ).
cnf(c_3846,plain,
( op2(e22,e21) = e23
| op2(e22,e20) = e23
| h3(e11) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3845,c_250]) ).
cnf(c_3862,plain,
( op2(e23,e22) = e20
| op2(e23,e20) = e20
| e22 = e20
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_120,c_751,c_3106]) ).
cnf(c_3863,plain,
( op2(e23,e22) = e20
| op2(e23,e20) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3862,c_252,c_251]) ).
cnf(c_3868,plain,
( op2(e21,e23) = e22
| op2(e20,e23) = e22
| e22 = e21
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_115,c_751,c_3592]) ).
cnf(c_3869,plain,
( op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3868,c_251,c_249]) ).
cnf(c_3874,plain,
( op2(e23,e22) = e23
| op2(e23,e20) = e23
| e23 = e22
| e23 = e21 ),
inference(light_normalisation,[status(thm)],[c_114,c_751,c_3106]) ).
cnf(c_3875,plain,
( op2(e23,e22) = e23
| op2(e23,e20) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3874,c_248,c_247]) ).
cnf(c_3880,plain,
( op2(e21,e23) = e23
| op2(e20,e23) = e23
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_113,c_751,c_3592]) ).
cnf(c_3881,plain,
( op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3880,c_250,c_248]) ).
cnf(c_3895,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_111,c_3525]) ).
cnf(c_3923,plain,
( h2(e11) = e23
| h2(e11) = e22
| h2(e11) = e21
| h2(e11) = e20 ),
inference(light_normalisation,[status(thm)],[c_107,c_480]) ).
cnf(c_3924,plain,
( h2(e11) = e23
| h2(e11) = e21
| h2(e11) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3923,c_3527]) ).
cnf(c_3939,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_105,c_3597,c_3533]) ).
cnf(c_3951,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_103,c_3594,c_3528]) ).
cnf(c_3956,plain,
( h3(e11) = e23
| h3(e11) = e22
| h3(e11) = e21
| h3(e11) = e20 ),
inference(light_normalisation,[status(thm)],[c_102,c_484]) ).
cnf(c_3957,plain,
( h3(e11) = e23
| h3(e11) = e22
| h3(e11) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3956,c_3593]) ).
cnf(c_3974,plain,
( op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_96,c_3642]) ).
cnf(c_3981,plain,
( op1(e13,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_95,c_3639]) ).
cnf(c_3988,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_94,c_3568]) ).
cnf(c_4002,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_92,c_3565]) ).
cnf(c_4032,plain,
( op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_88,c_3641]) ).
cnf(c_4039,plain,
( op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_87,c_3107]) ).
cnf(c_4040,plain,
( op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4039,c_245,c_3638]) ).
cnf(c_4045,plain,
( op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_86,c_3569]) ).
cnf(c_4060,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_84,c_3566]) ).
cnf(c_4090,plain,
( op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_78,c_3636]) ).
cnf(c_4091,plain,
( op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4090,c_246]) ).
cnf(c_4098,plain,
( op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_77,c_3591]) ).
cnf(c_4105,plain,
( op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_76,c_3636]) ).
cnf(c_4106,plain,
( op1(e12,e12) = e12
| op1(e12,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4105,c_245,c_3567]) ).
cnf(c_4111,plain,
( op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_75,c_3573]) ).
cnf(c_4118,plain,
( op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_74,c_3636]) ).
cnf(c_4119,plain,
( op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4118,c_244]) ).
cnf(c_4134,plain,
( op1(e13,e12) = e10
| op1(e13,e10) = e10
| e12 = e10
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_72,c_757,c_3107]) ).
cnf(c_4135,plain,
( op1(e13,e12) = e10
| op1(e13,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4134,c_246,c_245]) ).
cnf(c_4140,plain,
( op1(e11,e13) = e12
| op1(e10,e13) = e12
| e12 = e11
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_67,c_757,c_3636]) ).
cnf(c_4141,plain,
( op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4140,c_245,c_243]) ).
cnf(c_4146,plain,
( op1(e13,e12) = e13
| op1(e13,e10) = e13
| e13 = e12
| e13 = e11 ),
inference(light_normalisation,[status(thm)],[c_66,c_757,c_3107]) ).
cnf(c_4147,plain,
( op1(e13,e12) = e13
| op1(e13,e10) = e13 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4146,c_242,c_241]) ).
cnf(c_4181,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_61,c_3642,c_3568]) ).
cnf(c_4194,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_59,c_3566]) ).
cnf(c_4226,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_54,c_3637]) ).
cnf(c_4233,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_52,c_3572,c_3571]) ).
cnf(c_4252,plain,
( op2(e22,op2(e22,e21)) = e22
| op2(e20,op2(e20,e21)) = e20
| op2(e23,e22) = e23
| h2(e12) = e21 ),
inference(light_normalisation,[status(thm)],[c_467,c_480,c_3106,c_3287]) ).
cnf(c_4261,plain,
( op2(e23,op2(e23,e22)) = e23
| op2(e21,op2(e21,e22)) = e21
| op2(e20,op2(e20,e22)) = e20
| h3(e12) = e22 ),
inference(light_normalisation,[status(thm)],[c_466,c_484,c_3286]) ).
cnf(c_4270,plain,
( op2(e21,op2(e21,e23)) = e21
| op2(e20,op2(e20,e23)) = e20
| op2(e22,e20) = e22
| e23 = e22 ),
inference(light_normalisation,[status(thm)],[c_465,c_751,c_3106,c_3592]) ).
cnf(c_4271,plain,
( op2(e21,op2(e21,e23)) = e21
| op2(e20,op2(e20,e23)) = e20
| op2(e22,e20) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4270,c_247]) ).
cnf(c_4286,plain,
( op1(e12,op1(e12,e11)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e11)) = e10
| op1(e13,e12) = e13 ),
inference(light_normalisation,[status(thm)],[c_367,c_3107]) ).
cnf(c_4303,plain,
( op1(e11,op1(e11,e13)) = e11
| op1(e10,op1(e10,e13)) = e10
| op1(e12,e10) = e12
| e13 = e12 ),
inference(light_normalisation,[status(thm)],[c_365,c_757,c_3107,c_3636]) ).
cnf(c_4304,plain,
( op1(e11,op1(e11,e13)) = e11
| op1(e10,op1(e10,e13)) = e10
| op1(e12,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4303,c_241]) ).
cnf(c_4342,plain,
( op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e11),e22) != h3(op1(e11,e13))
| op2(h3(e10),e22) != h3(op1(e10,e13))
| op2(e22,h3(e12)) != h3(op1(e13,e12))
| op2(e22,h3(e10)) != h3(op1(e13,e10))
| h3(e12) != h3(e12)
| h3(e12) != e23
| h3(e11) != h3(e11)
| h3(e10) != h3(e10)
| sP37
| sP36 ),
inference(light_normalisation,[status(thm)],[c_780,c_757,c_484,c_486,c_3107,c_3286,c_3636,c_3683]) ).
cnf(c_4343,plain,
( op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e11),e22) != h3(op1(e11,e13))
| op2(h3(e10),e22) != h3(op1(e10,e13))
| op2(e22,h3(e12)) != h3(op1(e13,e12))
| op2(e22,h3(e10)) != h3(op1(e13,e10))
| h3(e12) != e23
| sP37
| sP36 ),
inference(equality_resolution_simp,[status(thm)],[c_4342]) ).
cnf(c_4660,plain,
( op1(e13,e10) = e13
| sP8
| sP6
| sP4 ),
inference(resolution,[status(thm)],[c_3671,c_286]) ).
cnf(c_4673,plain,
( op1(e10,e13) = e13
| sP8
| sP6
| sP4 ),
inference(resolution,[status(thm)],[c_3671,c_285]) ).
cnf(c_4695,plain,
( op1(e11,e11) != e10
| sP8
| sP6
| sP4 ),
inference(resolution,[status(thm)],[c_3671,c_283]) ).
cnf(c_4696,plain,
( sP6
| op1(e11,e11) != e10 ),
inference(global_subsumption_just,[status(thm)],[c_4695,c_331,c_307,c_283,c_3671]) ).
cnf(c_4697,plain,
( op1(e11,e11) != e10
| sP6 ),
inference(renaming,[status(thm)],[c_4696]) ).
cnf(c_4716,plain,
( h2(e11) != e20
| sP23
| sP21
| sP19 ),
inference(resolution,[status(thm)],[c_3627,c_3390]) ).
cnf(c_4717,plain,
( sP21
| h2(e11) != e20 ),
inference(global_subsumption_just,[status(thm)],[c_4716,c_3326,c_3358,c_4716]) ).
cnf(c_4718,plain,
( h2(e11) != e20
| sP21 ),
inference(renaming,[status(thm)],[c_4717]) ).
cnf(c_4734,plain,
( op2(e23,e20) = e23
| sP23
| sP21
| sP19 ),
inference(resolution,[status(thm)],[c_3627,c_386]) ).
cnf(c_4747,plain,
( op2(e20,e23) = e23
| sP23
| sP21
| sP19 ),
inference(resolution,[status(thm)],[c_3627,c_385]) ).
cnf(c_14671,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_4747,c_4734,c_4718,c_4697,c_4673,c_4660,c_4343,c_4304,c_4286,c_4271,c_4261,c_4252,c_4233,c_4226,c_4194,c_4181,c_4147,c_4141,c_4135,c_4119,c_4111,c_4106,c_4098,c_4091,c_4060,c_4045,c_4040,c_4032,c_4002,c_3988,c_3981,c_3974,c_3957,c_3951,c_3939,c_3924,c_3895,c_3881,c_3875,c_3869,c_3863,c_3846,c_3838,c_3832,c_3824,c_3816,c_3800,c_3790,c_3783,c_3767,c_3761,c_3753,c_3743,c_3719,c_3703,c_3683,c_3592,c_3542,c_3539,c_3538,c_3537,c_3535,c_3531,c_3529,c_3526,c_3522,c_3347,c_3287,c_3286,c_3106,c_514,c_509,c_486,c_480,c_476,c_473,c_470,c_434,c_433,c_422,c_421,c_410,c_409,c_366,c_333,c_322,c_321,c_318,c_310,c_309,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_237,c_236,c_233,c_228,c_222,c_213,c_212,c_211,c_209,c_208,c_204,c_192,c_191,c_189,c_188,c_186,c_185,c_180,c_177,c_176,c_175,c_168,c_163,c_159,c_155,c_149,c_110,c_108,c_89,c_73,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG106+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 22:42:05 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.46 Running first-order theorem proving
% 0.21/0.46 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
% 6.16/1.66 % SZS status Started for theBenchmark.p
% 6.16/1.66 % SZS status Theorem for theBenchmark.p
% 6.16/1.66
% 6.16/1.66 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 6.16/1.66
% 6.16/1.66 ------ iProver source info
% 6.16/1.66
% 6.16/1.66 git: date: 2024-05-02 19:28:25 +0000
% 6.16/1.66 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 6.16/1.66 git: non_committed_changes: false
% 6.16/1.66
% 6.16/1.66 ------ Parsing...
% 6.16/1.66 ------ Clausification by vclausify_rel & Parsing by iProver...
% 6.16/1.66
% 6.16/1.66 ------ Preprocessing... sup_sim: 275 sf_s rm: 28 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 6.16/1.66
% 6.16/1.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.16/1.66
% 6.16/1.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 6.16/1.66 ------ Proving...
% 6.16/1.66 ------ Problem Properties
% 6.16/1.66
% 6.16/1.66
% 6.16/1.66 clauses 286
% 6.16/1.66 conjectures 0
% 6.16/1.66 EPR 28
% 6.16/1.66 Horn 187
% 6.16/1.66 unary 142
% 6.16/1.66 binary 66
% 6.16/1.66 lits 661
% 6.16/1.66 lits eq 587
% 6.16/1.66 fd_pure 0
% 6.16/1.66 fd_pseudo 0
% 6.16/1.66 fd_cond 0
% 6.16/1.66 fd_pseudo_cond 0
% 6.16/1.66 AC symbols 0
% 6.16/1.66
% 6.16/1.66 ------ Schedule dynamic 5 is on
% 6.16/1.66
% 6.16/1.66 ------ no conjectures: strip conj schedule
% 6.16/1.66
% 6.16/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 6.16/1.66
% 6.16/1.66
% 6.16/1.66 ------
% 6.16/1.66 Current options:
% 6.16/1.66 ------
% 6.16/1.66
% 6.16/1.66
% 6.16/1.66
% 6.16/1.66
% 6.16/1.66 ------ Proving...
% 6.16/1.66
% 6.16/1.66
% 6.16/1.66 % SZS status Theorem for theBenchmark.p
% 6.16/1.66
% 6.16/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.16/1.67
% 6.16/1.67
%------------------------------------------------------------------------------