TSTP Solution File: ALG015+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG015+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 02:03:12 EDT 2024
% Result : Theorem 5.63s 1.62s
% Output : CNFRefutation 5.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 69
% Syntax : Number of formulae : 464 ( 274 unt; 0 def)
% Number of atoms : 2948 (2753 equ)
% Maximal formula atoms : 384 ( 6 avg)
% Number of connectives : 3728 (1244 ~;1283 |;1185 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 64 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 44 ( 42 usr; 43 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 9 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,
( op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( e13 = unit1
| e12 = unit1
| e11 = unit1
| e10 = unit1 )
& e13 = op1(e13,unit1)
& e13 = op1(unit1,e13)
& e12 = op1(e12,unit1)
& e12 = op1(unit1,e12)
& e11 = op1(e11,unit1)
& e11 = op1(unit1,e11)
& e10 = op1(e10,unit1)
& e10 = op1(unit1,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( e13 = inv1(e13)
| e12 = inv1(e13)
| e11 = inv1(e13)
| e10 = inv1(e13) )
& ( e13 = inv1(e12)
| e12 = inv1(e12)
| e11 = inv1(e12)
| e10 = inv1(e12) )
& ( e13 = inv1(e11)
| e12 = inv1(e11)
| e11 = inv1(e11)
| e10 = inv1(e11) )
& ( e13 = inv1(e10)
| e12 = inv1(e10)
| e11 = inv1(e10)
| e10 = inv1(e10) )
& unit1 = op1(inv1(e13),e13)
& unit1 = op1(e13,inv1(e13))
& unit1 = op1(inv1(e12),e12)
& unit1 = op1(e12,inv1(e12))
& unit1 = op1(inv1(e11),e11)
& unit1 = op1(e11,inv1(e11))
& unit1 = op1(inv1(e10),e10)
& unit1 = op1(e10,inv1(e10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,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',ax5) ).
fof(f6,axiom,
( op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f11,axiom,
( ( e13 = inv1(e13)
=> e13 = inv1(e13) )
& ( e12 = inv1(e13)
=> e13 = inv1(e12) )
& ( e11 = inv1(e13)
=> e13 = inv1(e11) )
& ( e10 = inv1(e13)
=> e13 = inv1(e10) )
& ( e13 = inv1(e12)
=> e12 = inv1(e13) )
& ( e12 = inv1(e12)
=> e12 = inv1(e12) )
& ( e11 = inv1(e12)
=> e12 = inv1(e11) )
& ( e10 = inv1(e12)
=> e12 = inv1(e10) )
& ( e13 = inv1(e11)
=> e11 = inv1(e13) )
& ( e12 = inv1(e11)
=> e11 = inv1(e12) )
& ( e11 = inv1(e11)
=> e11 = inv1(e11) )
& ( e10 = inv1(e11)
=> e11 = inv1(e10) )
& ( e13 = inv1(e10)
=> e10 = inv1(e13) )
& ( e12 = inv1(e10)
=> e10 = inv1(e12) )
& ( e11 = inv1(e10)
=> e10 = inv1(e11) )
& ( e10 = inv1(e10)
=> e10 = inv1(e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f17,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',ax17) ).
fof(f18,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',ax18) ).
fof(f19,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f20,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f22,axiom,
( ( e13 = op1(e13,e13)
& e13 = op1(e12,e12)
& e13 = op1(e11,e11)
& op1(e10,e10) = e13 )
| ( e12 = op1(e13,e13)
& e12 = op1(e12,e12)
& e12 = op1(e11,e11)
& op1(e10,e10) = e12 )
| ( e11 = op1(e13,e13)
& e11 = op1(e12,e12)
& e11 = op1(e11,e11)
& op1(e10,e10) = e11 )
| ( e10 = op1(e13,e13)
& e10 = op1(e12,e12)
& e10 = op1(e11,e11)
& e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f23,axiom,
( ( e23 = op2(e23,e23)
& e23 = op2(e22,e22)
& e23 = op2(e21,e21)
& op2(e20,e20) = e23 )
| ( e22 = op2(e23,e23)
& e22 = op2(e22,e22)
& e22 = op2(e21,e21)
& op2(e20,e20) = e22 )
| ( e21 = op2(e23,e23)
& e21 = op2(e22,e22)
& e21 = op2(e21,e21)
& op2(e20,e20) = e21 )
| ( e20 = op2(e23,e23)
& e20 = op2(e22,e22)
& e20 = op2(e21,e21)
& e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f24,axiom,
( e11 = op1(e12,e13)
& e10 = op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
( e21 = op2(e22,e23)
& e20 = op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f26,axiom,
( op2(e20,e21) = h1(e11)
& op2(e21,e21) = h1(e10)
& e21 = h1(e13)
& e20 = h1(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f27,axiom,
( op2(e20,e22) = h2(e11)
& op2(e22,e22) = h2(e10)
& e22 = h2(e13)
& e20 = h2(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f28,axiom,
( op2(e20,e23) = h3(e11)
& op2(e23,e23) = h3(e10)
& e23 = h3(e13)
& e20 = h3(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f29,axiom,
( op2(e21,e20) = h4(e11)
& op2(e20,e20) = h4(e10)
& e20 = h4(e13)
& e21 = h4(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f30,axiom,
( op2(e21,e22) = h5(e11)
& op2(e22,e22) = h5(e10)
& e22 = h5(e13)
& e21 = h5(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f31,axiom,
( op2(e21,e23) = h6(e11)
& op2(e23,e23) = h6(e10)
& e23 = h6(e13)
& e21 = h6(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
fof(f32,axiom,
( op2(e22,e20) = h7(e11)
& op2(e20,e20) = h7(e10)
& e20 = h7(e13)
& e22 = h7(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
fof(f33,axiom,
( op2(e22,e21) = h8(e11)
& op2(e21,e21) = h8(e10)
& e21 = h8(e13)
& e22 = h8(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(f35,axiom,
( op2(e23,e20) = h10(e11)
& op2(e20,e20) = h10(e10)
& e20 = h10(e13)
& e23 = h10(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
fof(f36,axiom,
( op2(e23,e21) = h11(e11)
& op2(e21,e21) = h11(e10)
& e21 = h11(e13)
& e23 = h11(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f37,axiom,
( op2(e23,e22) = h12(e11)
& op2(e22,e22) = h12(e10)
& e22 = h12(e13)
& e23 = h12(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f38,conjecture,
( ( ( e23 = h12(e13)
| e23 = h12(e12)
| e23 = h12(e11)
| e23 = h12(e10) )
& ( e22 = h12(e13)
| e22 = h12(e12)
| e22 = h12(e11)
| e22 = h12(e10) )
& ( e21 = h12(e13)
| e21 = h12(e12)
| e21 = h12(e11)
| e21 = h12(e10) )
& ( e20 = h12(e13)
| e20 = h12(e12)
| e20 = h12(e11)
| e20 = h12(e10) )
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) )
| ( ( e23 = h11(e13)
| e23 = h11(e12)
| e23 = h11(e11)
| e23 = h11(e10) )
& ( e22 = h11(e13)
| e22 = h11(e12)
| e22 = h11(e11)
| e22 = h11(e10) )
& ( e21 = h11(e13)
| e21 = h11(e12)
| e21 = h11(e11)
| e21 = h11(e10) )
& ( e20 = h11(e13)
| e20 = h11(e12)
| e20 = h11(e11)
| e20 = h11(e10) )
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e10)) = op2(h11(e10),h11(e10)) )
| ( ( e23 = h10(e13)
| e23 = h10(e12)
| e23 = h10(e11)
| e23 = h10(e10) )
& ( e22 = h10(e13)
| e22 = h10(e12)
| e22 = h10(e11)
| e22 = h10(e10) )
& ( e21 = h10(e13)
| e21 = h10(e12)
| e21 = h10(e11)
| e21 = h10(e10) )
& ( e20 = h10(e13)
| e20 = h10(e12)
| e20 = h10(e11)
| e20 = h10(e10) )
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e10)) = op2(h10(e10),h10(e10)) )
| ( ( e23 = h9(e13)
| e23 = h9(e12)
| e23 = h9(e11)
| e23 = h9(e10) )
& ( e22 = h9(e13)
| e22 = h9(e12)
| e22 = h9(e11)
| e22 = h9(e10) )
& ( e21 = h9(e13)
| e21 = h9(e12)
| e21 = h9(e11)
| e21 = h9(e10) )
& ( e20 = h9(e13)
| e20 = h9(e12)
| e20 = h9(e11)
| e20 = h9(e10) )
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e10)) = op2(h9(e10),h9(e10)) )
| ( ( e23 = h8(e13)
| e23 = h8(e12)
| e23 = h8(e11)
| e23 = h8(e10) )
& ( e22 = h8(e13)
| e22 = h8(e12)
| e22 = h8(e11)
| e22 = h8(e10) )
& ( e21 = h8(e13)
| e21 = h8(e12)
| e21 = h8(e11)
| e21 = h8(e10) )
& ( e20 = h8(e13)
| e20 = h8(e12)
| e20 = h8(e11)
| e20 = h8(e10) )
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e10)) = op2(h8(e10),h8(e10)) )
| ( ( e23 = h7(e13)
| e23 = h7(e12)
| e23 = h7(e11)
| e23 = h7(e10) )
& ( e22 = h7(e13)
| e22 = h7(e12)
| e22 = h7(e11)
| e22 = h7(e10) )
& ( e21 = h7(e13)
| e21 = h7(e12)
| e21 = h7(e11)
| e21 = h7(e10) )
& ( e20 = h7(e13)
| e20 = h7(e12)
| e20 = h7(e11)
| e20 = h7(e10) )
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e10)) = op2(h7(e10),h7(e10)) )
| ( ( e23 = h6(e13)
| e23 = h6(e12)
| e23 = h6(e11)
| e23 = h6(e10) )
& ( e22 = h6(e13)
| e22 = h6(e12)
| e22 = h6(e11)
| e22 = h6(e10) )
& ( e21 = h6(e13)
| e21 = h6(e12)
| e21 = h6(e11)
| e21 = h6(e10) )
& ( e20 = h6(e13)
| e20 = h6(e12)
| e20 = h6(e11)
| e20 = h6(e10) )
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e10)) = op2(h6(e10),h6(e10)) )
| ( ( e23 = h5(e13)
| e23 = h5(e12)
| e23 = h5(e11)
| e23 = h5(e10) )
& ( e22 = h5(e13)
| e22 = h5(e12)
| e22 = h5(e11)
| e22 = h5(e10) )
& ( e21 = h5(e13)
| e21 = h5(e12)
| e21 = h5(e11)
| e21 = h5(e10) )
& ( e20 = h5(e13)
| e20 = h5(e12)
| e20 = h5(e11)
| e20 = h5(e10) )
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e10)) = op2(h5(e10),h5(e10)) )
| ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f39,negated_conjecture,
~ ( ( ( e23 = h12(e13)
| e23 = h12(e12)
| e23 = h12(e11)
| e23 = h12(e10) )
& ( e22 = h12(e13)
| e22 = h12(e12)
| e22 = h12(e11)
| e22 = h12(e10) )
& ( e21 = h12(e13)
| e21 = h12(e12)
| e21 = h12(e11)
| e21 = h12(e10) )
& ( e20 = h12(e13)
| e20 = h12(e12)
| e20 = h12(e11)
| e20 = h12(e10) )
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) )
| ( ( e23 = h11(e13)
| e23 = h11(e12)
| e23 = h11(e11)
| e23 = h11(e10) )
& ( e22 = h11(e13)
| e22 = h11(e12)
| e22 = h11(e11)
| e22 = h11(e10) )
& ( e21 = h11(e13)
| e21 = h11(e12)
| e21 = h11(e11)
| e21 = h11(e10) )
& ( e20 = h11(e13)
| e20 = h11(e12)
| e20 = h11(e11)
| e20 = h11(e10) )
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e10)) = op2(h11(e10),h11(e10)) )
| ( ( e23 = h10(e13)
| e23 = h10(e12)
| e23 = h10(e11)
| e23 = h10(e10) )
& ( e22 = h10(e13)
| e22 = h10(e12)
| e22 = h10(e11)
| e22 = h10(e10) )
& ( e21 = h10(e13)
| e21 = h10(e12)
| e21 = h10(e11)
| e21 = h10(e10) )
& ( e20 = h10(e13)
| e20 = h10(e12)
| e20 = h10(e11)
| e20 = h10(e10) )
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e10)) = op2(h10(e10),h10(e10)) )
| ( ( e23 = h9(e13)
| e23 = h9(e12)
| e23 = h9(e11)
| e23 = h9(e10) )
& ( e22 = h9(e13)
| e22 = h9(e12)
| e22 = h9(e11)
| e22 = h9(e10) )
& ( e21 = h9(e13)
| e21 = h9(e12)
| e21 = h9(e11)
| e21 = h9(e10) )
& ( e20 = h9(e13)
| e20 = h9(e12)
| e20 = h9(e11)
| e20 = h9(e10) )
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e10)) = op2(h9(e10),h9(e10)) )
| ( ( e23 = h8(e13)
| e23 = h8(e12)
| e23 = h8(e11)
| e23 = h8(e10) )
& ( e22 = h8(e13)
| e22 = h8(e12)
| e22 = h8(e11)
| e22 = h8(e10) )
& ( e21 = h8(e13)
| e21 = h8(e12)
| e21 = h8(e11)
| e21 = h8(e10) )
& ( e20 = h8(e13)
| e20 = h8(e12)
| e20 = h8(e11)
| e20 = h8(e10) )
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e10)) = op2(h8(e10),h8(e10)) )
| ( ( e23 = h7(e13)
| e23 = h7(e12)
| e23 = h7(e11)
| e23 = h7(e10) )
& ( e22 = h7(e13)
| e22 = h7(e12)
| e22 = h7(e11)
| e22 = h7(e10) )
& ( e21 = h7(e13)
| e21 = h7(e12)
| e21 = h7(e11)
| e21 = h7(e10) )
& ( e20 = h7(e13)
| e20 = h7(e12)
| e20 = h7(e11)
| e20 = h7(e10) )
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e10)) = op2(h7(e10),h7(e10)) )
| ( ( e23 = h6(e13)
| e23 = h6(e12)
| e23 = h6(e11)
| e23 = h6(e10) )
& ( e22 = h6(e13)
| e22 = h6(e12)
| e22 = h6(e11)
| e22 = h6(e10) )
& ( e21 = h6(e13)
| e21 = h6(e12)
| e21 = h6(e11)
| e21 = h6(e10) )
& ( e20 = h6(e13)
| e20 = h6(e12)
| e20 = h6(e11)
| e20 = h6(e10) )
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e10)) = op2(h6(e10),h6(e10)) )
| ( ( e23 = h5(e13)
| e23 = h5(e12)
| e23 = h5(e11)
| e23 = h5(e10) )
& ( e22 = h5(e13)
| e22 = h5(e12)
| e22 = h5(e11)
| e22 = h5(e10) )
& ( e21 = h5(e13)
| e21 = h5(e12)
| e21 = h5(e11)
| e21 = h5(e10) )
& ( e20 = h5(e13)
| e20 = h5(e12)
| e20 = h5(e11)
| e20 = h5(e10) )
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e10)) = op2(h5(e10),h5(e10)) )
| ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[],[f38]) ).
fof(f40,plain,
( ( e13 = inv1(e13)
| e13 != inv1(e13) )
& ( e13 = inv1(e12)
| e12 != inv1(e13) )
& ( e13 = inv1(e11)
| e11 != inv1(e13) )
& ( e13 = inv1(e10)
| e10 != inv1(e13) )
& ( e12 = inv1(e13)
| e13 != inv1(e12) )
& ( e12 = inv1(e12)
| e12 != inv1(e12) )
& ( e12 = inv1(e11)
| e11 != inv1(e12) )
& ( e12 = inv1(e10)
| e10 != inv1(e12) )
& ( e11 = inv1(e13)
| e13 != inv1(e11) )
& ( e11 = inv1(e12)
| e12 != inv1(e11) )
& ( e11 = inv1(e11)
| e11 != inv1(e11) )
& ( e11 = inv1(e10)
| e10 != inv1(e11) )
& ( e10 = inv1(e13)
| e13 != inv1(e10) )
& ( e10 = inv1(e12)
| e12 != inv1(e10) )
& ( e10 = inv1(e11)
| e11 != inv1(e10) )
& ( e10 = inv1(e10)
| e10 != inv1(e10) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f42,plain,
( ( ( e23 != h12(e13)
& e23 != h12(e12)
& e23 != h12(e11)
& e23 != h12(e10) )
| ( e22 != h12(e13)
& e22 != h12(e12)
& e22 != h12(e11)
& e22 != h12(e10) )
| ( e21 != h12(e13)
& e21 != h12(e12)
& e21 != h12(e11)
& e21 != h12(e10) )
| ( e20 != h12(e13)
& e20 != h12(e12)
& e20 != h12(e11)
& e20 != h12(e10) )
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) )
& ( ( e23 != h11(e13)
& e23 != h11(e12)
& e23 != h11(e11)
& e23 != h11(e10) )
| ( e22 != h11(e13)
& e22 != h11(e12)
& e22 != h11(e11)
& e22 != h11(e10) )
| ( e21 != h11(e13)
& e21 != h11(e12)
& e21 != h11(e11)
& e21 != h11(e10) )
| ( e20 != h11(e13)
& e20 != h11(e12)
& e20 != h11(e11)
& e20 != h11(e10) )
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e10)) != op2(h11(e10),h11(e10)) )
& ( ( e23 != h10(e13)
& e23 != h10(e12)
& e23 != h10(e11)
& e23 != h10(e10) )
| ( e22 != h10(e13)
& e22 != h10(e12)
& e22 != h10(e11)
& e22 != h10(e10) )
| ( e21 != h10(e13)
& e21 != h10(e12)
& e21 != h10(e11)
& e21 != h10(e10) )
| ( e20 != h10(e13)
& e20 != h10(e12)
& e20 != h10(e11)
& e20 != h10(e10) )
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e10)) != op2(h10(e10),h10(e10)) )
& ( ( e23 != h9(e13)
& e23 != h9(e12)
& e23 != h9(e11)
& e23 != h9(e10) )
| ( e22 != h9(e13)
& e22 != h9(e12)
& e22 != h9(e11)
& e22 != h9(e10) )
| ( e21 != h9(e13)
& e21 != h9(e12)
& e21 != h9(e11)
& e21 != h9(e10) )
| ( e20 != h9(e13)
& e20 != h9(e12)
& e20 != h9(e11)
& e20 != h9(e10) )
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) )
& ( ( e23 != h8(e13)
& e23 != h8(e12)
& e23 != h8(e11)
& e23 != h8(e10) )
| ( e22 != h8(e13)
& e22 != h8(e12)
& e22 != h8(e11)
& e22 != h8(e10) )
| ( e21 != h8(e13)
& e21 != h8(e12)
& e21 != h8(e11)
& e21 != h8(e10) )
| ( e20 != h8(e13)
& e20 != h8(e12)
& e20 != h8(e11)
& e20 != h8(e10) )
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e10)) != op2(h8(e10),h8(e10)) )
& ( ( e23 != h7(e13)
& e23 != h7(e12)
& e23 != h7(e11)
& e23 != h7(e10) )
| ( e22 != h7(e13)
& e22 != h7(e12)
& e22 != h7(e11)
& e22 != h7(e10) )
| ( e21 != h7(e13)
& e21 != h7(e12)
& e21 != h7(e11)
& e21 != h7(e10) )
| ( e20 != h7(e13)
& e20 != h7(e12)
& e20 != h7(e11)
& e20 != h7(e10) )
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e10)) != op2(h7(e10),h7(e10)) )
& ( ( e23 != h6(e13)
& e23 != h6(e12)
& e23 != h6(e11)
& e23 != h6(e10) )
| ( e22 != h6(e13)
& e22 != h6(e12)
& e22 != h6(e11)
& e22 != h6(e10) )
| ( e21 != h6(e13)
& e21 != h6(e12)
& e21 != h6(e11)
& e21 != h6(e10) )
| ( e20 != h6(e13)
& e20 != h6(e12)
& e20 != h6(e11)
& e20 != h6(e10) )
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e10)) != op2(h6(e10),h6(e10)) )
& ( ( e23 != h5(e13)
& e23 != h5(e12)
& e23 != h5(e11)
& e23 != h5(e10) )
| ( e22 != h5(e13)
& e22 != h5(e12)
& e22 != h5(e11)
& e22 != h5(e10) )
| ( e21 != h5(e13)
& e21 != h5(e12)
& e21 != h5(e11)
& e21 != h5(e10) )
| ( e20 != h5(e13)
& e20 != h5(e12)
& e20 != h5(e11)
& e20 != h5(e10) )
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
& ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f43,plain,
( ( e10 = op1(e13,e13)
& e10 = op1(e12,e12)
& e10 = op1(e11,e11)
& e10 = op1(e10,e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f44,plain,
( ( e11 = op1(e13,e13)
& e11 = op1(e12,e12)
& e11 = op1(e11,e11)
& op1(e10,e10) = e11 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f45,plain,
( ( e12 = op1(e13,e13)
& e12 = op1(e12,e12)
& e12 = op1(e11,e11)
& op1(e10,e10) = e12 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f46,plain,
( ( e13 = op1(e13,e13)
& e13 = op1(e12,e12)
& e13 = op1(e11,e11)
& op1(e10,e10) = e13 )
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f22,f45,f44,f43]) ).
fof(f47,plain,
( ( e20 = op2(e23,e23)
& e20 = op2(e22,e22)
& e20 = op2(e21,e21)
& e20 = op2(e20,e20) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f48,plain,
( ( e21 = op2(e23,e23)
& e21 = op2(e22,e22)
& e21 = op2(e21,e21)
& op2(e20,e20) = e21 )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f49,plain,
( ( e22 = op2(e23,e23)
& e22 = op2(e22,e22)
& e22 = op2(e21,e21)
& op2(e20,e20) = e22 )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f50,plain,
( ( e23 = op2(e23,e23)
& e23 = op2(e22,e22)
& e23 = op2(e21,e21)
& op2(e20,e20) = e23 )
| sP5
| sP4
| sP3 ),
inference(definition_folding,[],[f23,f49,f48,f47]) ).
fof(f51,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f52,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f53,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f54,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f55,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f56,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f57,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f58,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f59,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f60,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f61,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f62,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f63,plain,
( ( e20 != h5(e13)
& e20 != h5(e12)
& e20 != h5(e11)
& e20 != h5(e10) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f64,plain,
( ( e21 != h5(e13)
& e21 != h5(e12)
& e21 != h5(e11)
& e21 != h5(e10) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f65,plain,
( ( e22 != h5(e13)
& e22 != h5(e12)
& e22 != h5(e11)
& e22 != h5(e10) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f66,plain,
( ( e20 != h6(e13)
& e20 != h6(e12)
& e20 != h6(e11)
& e20 != h6(e10) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f67,plain,
( ( e21 != h6(e13)
& e21 != h6(e12)
& e21 != h6(e11)
& e21 != h6(e10) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f68,plain,
( ( e22 != h6(e13)
& e22 != h6(e12)
& e22 != h6(e11)
& e22 != h6(e10) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f69,plain,
( ( e20 != h7(e13)
& e20 != h7(e12)
& e20 != h7(e11)
& e20 != h7(e10) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f70,plain,
( ( e21 != h7(e13)
& e21 != h7(e12)
& e21 != h7(e11)
& e21 != h7(e10) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f71,plain,
( ( e22 != h7(e13)
& e22 != h7(e12)
& e22 != h7(e11)
& e22 != h7(e10) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f72,plain,
( ( e20 != h8(e13)
& e20 != h8(e12)
& e20 != h8(e11)
& e20 != h8(e10) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f73,plain,
( ( e21 != h8(e13)
& e21 != h8(e12)
& e21 != h8(e11)
& e21 != h8(e10) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f74,plain,
( ( e22 != h8(e13)
& e22 != h8(e12)
& e22 != h8(e11)
& e22 != h8(e10) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f75,plain,
( ( e20 != h9(e13)
& e20 != h9(e12)
& e20 != h9(e11)
& e20 != h9(e10) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f76,plain,
( ( e21 != h9(e13)
& e21 != h9(e12)
& e21 != h9(e11)
& e21 != h9(e10) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f77,plain,
( ( e22 != h9(e13)
& e22 != h9(e12)
& e22 != h9(e11)
& e22 != h9(e10) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f78,plain,
( ( e20 != h10(e13)
& e20 != h10(e12)
& e20 != h10(e11)
& e20 != h10(e10) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f79,plain,
( ( e21 != h10(e13)
& e21 != h10(e12)
& e21 != h10(e11)
& e21 != h10(e10) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f80,plain,
( ( e22 != h10(e13)
& e22 != h10(e12)
& e22 != h10(e11)
& e22 != h10(e10) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f81,plain,
( ( e20 != h11(e13)
& e20 != h11(e12)
& e20 != h11(e11)
& e20 != h11(e10) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f82,plain,
( ( e21 != h11(e13)
& e21 != h11(e12)
& e21 != h11(e11)
& e21 != h11(e10) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f83,plain,
( ( e22 != h11(e13)
& e22 != h11(e12)
& e22 != h11(e11)
& e22 != h11(e10) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f84,plain,
( ( e20 != h12(e13)
& e20 != h12(e12)
& e20 != h12(e11)
& e20 != h12(e10) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f85,plain,
( ( e21 != h12(e13)
& e21 != h12(e12)
& e21 != h12(e11)
& e21 != h12(e10) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f86,plain,
( ( e22 != h12(e13)
& e22 != h12(e12)
& e22 != h12(e11)
& e22 != h12(e10) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f87,plain,
( ( ( e23 != h12(e13)
& e23 != h12(e12)
& e23 != h12(e11)
& e23 != h12(e10) )
| sP41
| sP40
| sP39
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) )
& ( ( e23 != h11(e13)
& e23 != h11(e12)
& e23 != h11(e11)
& e23 != h11(e10) )
| sP38
| sP37
| sP36
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e10)) != op2(h11(e10),h11(e10)) )
& ( ( e23 != h10(e13)
& e23 != h10(e12)
& e23 != h10(e11)
& e23 != h10(e10) )
| sP35
| sP34
| sP33
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e10)) != op2(h10(e10),h10(e10)) )
& ( ( e23 != h9(e13)
& e23 != h9(e12)
& e23 != h9(e11)
& e23 != h9(e10) )
| sP32
| sP31
| sP30
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) )
& ( ( e23 != h8(e13)
& e23 != h8(e12)
& e23 != h8(e11)
& e23 != h8(e10) )
| sP29
| sP28
| sP27
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e10)) != op2(h8(e10),h8(e10)) )
& ( ( e23 != h7(e13)
& e23 != h7(e12)
& e23 != h7(e11)
& e23 != h7(e10) )
| sP26
| sP25
| sP24
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e10)) != op2(h7(e10),h7(e10)) )
& ( ( e23 != h6(e13)
& e23 != h6(e12)
& e23 != h6(e11)
& e23 != h6(e10) )
| sP23
| sP22
| sP21
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e10)) != op2(h6(e10),h6(e10)) )
& ( ( e23 != h5(e13)
& e23 != h5(e12)
& e23 != h5(e11)
& e23 != h5(e10) )
| sP20
| sP19
| sP18
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
& ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP17
| sP16
| sP15
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| sP14
| sP13
| sP12
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| sP11
| sP10
| sP9
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| sP8
| sP7
| sP6
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(definition_folding,[],[f42,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51]) ).
fof(f88,plain,
( ( e12 = op1(e13,e13)
& e12 = op1(e12,e12)
& e12 = op1(e11,e11)
& op1(e10,e10) = e12 )
| ~ sP2 ),
inference(nnf_transformation,[],[f45]) ).
fof(f89,plain,
( ( e11 = op1(e13,e13)
& e11 = op1(e12,e12)
& e11 = op1(e11,e11)
& op1(e10,e10) = e11 )
| ~ sP1 ),
inference(nnf_transformation,[],[f44]) ).
fof(f90,plain,
( ( e10 = op1(e13,e13)
& e10 = op1(e12,e12)
& e10 = op1(e11,e11)
& e10 = op1(e10,e10) )
| ~ sP0 ),
inference(nnf_transformation,[],[f43]) ).
fof(f91,plain,
( ( e22 = op2(e23,e23)
& e22 = op2(e22,e22)
& e22 = op2(e21,e21)
& op2(e20,e20) = e22 )
| ~ sP5 ),
inference(nnf_transformation,[],[f49]) ).
fof(f92,plain,
( ( e21 = op2(e23,e23)
& e21 = op2(e22,e22)
& e21 = op2(e21,e21)
& op2(e20,e20) = e21 )
| ~ sP4 ),
inference(nnf_transformation,[],[f48]) ).
fof(f93,plain,
( ( e20 = op2(e23,e23)
& e20 = op2(e22,e22)
& e20 = op2(e21,e21)
& e20 = op2(e20,e20) )
| ~ sP3 ),
inference(nnf_transformation,[],[f47]) ).
fof(f94,plain,
( ( e22 != h12(e13)
& e22 != h12(e12)
& e22 != h12(e11)
& e22 != h12(e10) )
| ~ sP41 ),
inference(nnf_transformation,[],[f86]) ).
fof(f95,plain,
( ( e21 != h12(e13)
& e21 != h12(e12)
& e21 != h12(e11)
& e21 != h12(e10) )
| ~ sP40 ),
inference(nnf_transformation,[],[f85]) ).
fof(f96,plain,
( ( e20 != h12(e13)
& e20 != h12(e12)
& e20 != h12(e11)
& e20 != h12(e10) )
| ~ sP39 ),
inference(nnf_transformation,[],[f84]) ).
fof(f141,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f145,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f164,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(cnf_transformation,[],[f2]) ).
fof(f167,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(cnf_transformation,[],[f2]) ).
fof(f169,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(cnf_transformation,[],[f2]) ).
fof(f178,plain,
op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10)),
inference(cnf_transformation,[],[f2]) ).
fof(f183,plain,
op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11)),
inference(cnf_transformation,[],[f2]) ).
fof(f188,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[],[f2]) ).
fof(f189,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(cnf_transformation,[],[f2]) ).
fof(f193,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(cnf_transformation,[],[f2]) ).
fof(f194,plain,
op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10)),
inference(cnf_transformation,[],[f2]) ).
fof(f195,plain,
op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11)),
inference(cnf_transformation,[],[f2]) ).
fof(f196,plain,
op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12)),
inference(cnf_transformation,[],[f2]) ).
fof(f207,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(cnf_transformation,[],[f2]) ).
fof(f209,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f2]) ).
fof(f210,plain,
e10 = op1(unit1,e10),
inference(cnf_transformation,[],[f3]) ).
fof(f212,plain,
e11 = op1(unit1,e11),
inference(cnf_transformation,[],[f3]) ).
fof(f214,plain,
e12 = op1(unit1,e12),
inference(cnf_transformation,[],[f3]) ).
fof(f216,plain,
e13 = op1(unit1,e13),
inference(cnf_transformation,[],[f3]) ).
fof(f219,plain,
unit1 = op1(e10,inv1(e10)),
inference(cnf_transformation,[],[f4]) ).
fof(f221,plain,
unit1 = op1(e11,inv1(e11)),
inference(cnf_transformation,[],[f4]) ).
fof(f223,plain,
unit1 = op1(e12,inv1(e12)),
inference(cnf_transformation,[],[f4]) ).
fof(f225,plain,
unit1 = op1(e13,inv1(e13)),
inference(cnf_transformation,[],[f4]) ).
fof(f230,plain,
( e13 = inv1(e13)
| e12 = inv1(e13)
| e11 = inv1(e13)
| e10 = inv1(e13) ),
inference(cnf_transformation,[],[f4]) ).
fof(f233,plain,
( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f5]) ).
fof(f234,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f5]) ).
fof(f242,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f5]) ).
fof(f245,plain,
( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f5]) ).
fof(f249,plain,
op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22)),
inference(cnf_transformation,[],[f6]) ).
fof(f255,plain,
op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20)),
inference(cnf_transformation,[],[f6]) ).
fof(f258,plain,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
inference(cnf_transformation,[],[f6]) ).
fof(f260,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
inference(cnf_transformation,[],[f6]) ).
fof(f261,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(cnf_transformation,[],[f6]) ).
fof(f270,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(cnf_transformation,[],[f6]) ).
fof(f282,plain,
op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23)),
inference(cnf_transformation,[],[f6]) ).
fof(f284,plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(cnf_transformation,[],[f6]) ).
fof(f285,plain,
op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
inference(cnf_transformation,[],[f6]) ).
fof(f289,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f6]) ).
fof(f290,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(cnf_transformation,[],[f6]) ).
fof(f293,plain,
op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22)),
inference(cnf_transformation,[],[f6]) ).
fof(f294,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(cnf_transformation,[],[f6]) ).
fof(f296,plain,
op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21)),
inference(cnf_transformation,[],[f6]) ).
fof(f297,plain,
op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22)),
inference(cnf_transformation,[],[f6]) ).
fof(f303,plain,
op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20)),
inference(cnf_transformation,[],[f6]) ).
fof(f305,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(cnf_transformation,[],[f6]) ).
fof(f306,plain,
op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
inference(cnf_transformation,[],[f6]) ).
fof(f309,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(cnf_transformation,[],[f6]) ).
fof(f310,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f6]) ).
fof(f349,plain,
( e13 = inv1(e10)
| e10 != inv1(e13) ),
inference(cnf_transformation,[],[f40]) ).
fof(f350,plain,
( e13 = inv1(e11)
| e11 != inv1(e13) ),
inference(cnf_transformation,[],[f40]) ).
fof(f351,plain,
( e13 = inv1(e12)
| e12 != inv1(e13) ),
inference(cnf_transformation,[],[f40]) ).
fof(f386,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f17]) ).
fof(f387,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f17]) ).
fof(f388,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f17]) ).
fof(f447,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f18]) ).
fof(f448,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f18]) ).
fof(f451,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f18]) ).
fof(f453,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f454,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f463,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f472,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f482,plain,
e10 != e11,
inference(cnf_transformation,[],[f19]) ).
fof(f483,plain,
e10 != e12,
inference(cnf_transformation,[],[f19]) ).
fof(f484,plain,
e10 != e13,
inference(cnf_transformation,[],[f19]) ).
fof(f488,plain,
e20 != e21,
inference(cnf_transformation,[],[f20]) ).
fof(f489,plain,
e20 != e22,
inference(cnf_transformation,[],[f20]) ).
fof(f490,plain,
e20 != e23,
inference(cnf_transformation,[],[f20]) ).
fof(f492,plain,
e21 != e23,
inference(cnf_transformation,[],[f20]) ).
fof(f513,plain,
( e12 = op1(e13,e13)
| ~ sP2 ),
inference(cnf_transformation,[],[f88]) ).
fof(f517,plain,
( e11 = op1(e13,e13)
| ~ sP1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f518,plain,
( e10 = op1(e10,e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f90]) ).
fof(f519,plain,
( e10 = op1(e11,e11)
| ~ sP0 ),
inference(cnf_transformation,[],[f90]) ).
fof(f520,plain,
( e10 = op1(e12,e12)
| ~ sP0 ),
inference(cnf_transformation,[],[f90]) ).
fof(f525,plain,
( e13 = op1(e13,e13)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f529,plain,
( e22 = op2(e23,e23)
| ~ sP5 ),
inference(cnf_transformation,[],[f91]) ).
fof(f533,plain,
( e21 = op2(e23,e23)
| ~ sP4 ),
inference(cnf_transformation,[],[f92]) ).
fof(f534,plain,
( e20 = op2(e20,e20)
| ~ sP3 ),
inference(cnf_transformation,[],[f93]) ).
fof(f535,plain,
( e20 = op2(e21,e21)
| ~ sP3 ),
inference(cnf_transformation,[],[f93]) ).
fof(f536,plain,
( e20 = op2(e22,e22)
| ~ sP3 ),
inference(cnf_transformation,[],[f93]) ).
fof(f541,plain,
( e23 = op2(e23,e23)
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f50]) ).
fof(f542,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f24]) ).
fof(f543,plain,
e11 = op1(e12,e13),
inference(cnf_transformation,[],[f24]) ).
fof(f544,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],[f25]) ).
fof(f545,plain,
e21 = op2(e22,e23),
inference(cnf_transformation,[],[f25]) ).
fof(f548,plain,
op2(e21,e21) = h1(e10),
inference(cnf_transformation,[],[f26]) ).
fof(f549,plain,
op2(e20,e21) = h1(e11),
inference(cnf_transformation,[],[f26]) ).
fof(f552,plain,
op2(e22,e22) = h2(e10),
inference(cnf_transformation,[],[f27]) ).
fof(f553,plain,
op2(e20,e22) = h2(e11),
inference(cnf_transformation,[],[f27]) ).
fof(f557,plain,
op2(e20,e23) = h3(e11),
inference(cnf_transformation,[],[f28]) ).
fof(f560,plain,
op2(e20,e20) = h4(e10),
inference(cnf_transformation,[],[f29]) ).
fof(f564,plain,
op2(e22,e22) = h5(e10),
inference(cnf_transformation,[],[f30]) ).
fof(f565,plain,
op2(e21,e22) = h5(e11),
inference(cnf_transformation,[],[f30]) ).
fof(f566,plain,
e21 = h6(e12),
inference(cnf_transformation,[],[f31]) ).
fof(f569,plain,
op2(e21,e23) = h6(e11),
inference(cnf_transformation,[],[f31]) ).
fof(f572,plain,
op2(e20,e20) = h7(e10),
inference(cnf_transformation,[],[f32]) ).
fof(f573,plain,
op2(e22,e20) = h7(e11),
inference(cnf_transformation,[],[f32]) ).
fof(f576,plain,
op2(e21,e21) = h8(e10),
inference(cnf_transformation,[],[f33]) ).
fof(f577,plain,
op2(e22,e21) = h8(e11),
inference(cnf_transformation,[],[f33]) ).
fof(f584,plain,
op2(e20,e20) = h10(e10),
inference(cnf_transformation,[],[f35]) ).
fof(f585,plain,
op2(e23,e20) = h10(e11),
inference(cnf_transformation,[],[f35]) ).
fof(f588,plain,
op2(e21,e21) = h11(e10),
inference(cnf_transformation,[],[f36]) ).
fof(f589,plain,
op2(e23,e21) = h11(e11),
inference(cnf_transformation,[],[f36]) ).
fof(f590,plain,
e23 = h12(e12),
inference(cnf_transformation,[],[f37]) ).
fof(f591,plain,
e22 = h12(e13),
inference(cnf_transformation,[],[f37]) ).
fof(f592,plain,
op2(e22,e22) = h12(e10),
inference(cnf_transformation,[],[f37]) ).
fof(f593,plain,
op2(e23,e22) = h12(e11),
inference(cnf_transformation,[],[f37]) ).
fof(f597,plain,
( e22 != h12(e13)
| ~ sP41 ),
inference(cnf_transformation,[],[f94]) ).
fof(f599,plain,
( e21 != h12(e11)
| ~ sP40 ),
inference(cnf_transformation,[],[f95]) ).
fof(f602,plain,
( e20 != h12(e10)
| ~ sP39 ),
inference(cnf_transformation,[],[f96]) ).
fof(f782,plain,
( e23 != h12(e10)
| sP41
| sP40
| sP39
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f784,plain,
( e23 != h12(e12)
| sP41
| sP40
| sP39
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f785,plain,
( e23 != h12(e13)
| sP41
| sP40
| sP39
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_49,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_53,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_65,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f209]) ).
cnf(c_67,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(cnf_transformation,[],[f207]) ).
cnf(c_78,plain,
op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12)),
inference(cnf_transformation,[],[f196]) ).
cnf(c_79,plain,
op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11)),
inference(cnf_transformation,[],[f195]) ).
cnf(c_80,plain,
op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10)),
inference(cnf_transformation,[],[f194]) ).
cnf(c_81,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(cnf_transformation,[],[f193]) ).
cnf(c_85,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(cnf_transformation,[],[f189]) ).
cnf(c_86,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[],[f188]) ).
cnf(c_91,plain,
op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11)),
inference(cnf_transformation,[],[f183]) ).
cnf(c_96,plain,
op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10)),
inference(cnf_transformation,[],[f178]) ).
cnf(c_105,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(cnf_transformation,[],[f169]) ).
cnf(c_107,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(cnf_transformation,[],[f167]) ).
cnf(c_110,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(cnf_transformation,[],[f164]) ).
cnf(c_131,plain,
op1(unit1,e13) = e13,
inference(cnf_transformation,[],[f216]) ).
cnf(c_133,plain,
op1(unit1,e12) = e12,
inference(cnf_transformation,[],[f214]) ).
cnf(c_135,plain,
op1(unit1,e11) = e11,
inference(cnf_transformation,[],[f212]) ).
cnf(c_137,plain,
op1(unit1,e10) = e10,
inference(cnf_transformation,[],[f210]) ).
cnf(c_138,plain,
( inv1(e13) = e13
| inv1(e13) = e12
| inv1(e13) = e11
| inv1(e13) = e10 ),
inference(cnf_transformation,[],[f230]) ).
cnf(c_143,plain,
op1(e13,inv1(e13)) = unit1,
inference(cnf_transformation,[],[f225]) ).
cnf(c_145,plain,
op1(e12,inv1(e12)) = unit1,
inference(cnf_transformation,[],[f223]) ).
cnf(c_147,plain,
op1(e11,inv1(e11)) = unit1,
inference(cnf_transformation,[],[f221]) ).
cnf(c_149,plain,
op1(e10,inv1(e10)) = unit1,
inference(cnf_transformation,[],[f219]) ).
cnf(c_150,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_151,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_154,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[],[f242]) ).
cnf(c_162,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[],[f234]) ).
cnf(c_163,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[],[f233]) ).
cnf(c_166,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f310]) ).
cnf(c_167,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(cnf_transformation,[],[f309]) ).
cnf(c_170,plain,
op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
inference(cnf_transformation,[],[f306]) ).
cnf(c_171,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(cnf_transformation,[],[f305]) ).
cnf(c_173,plain,
op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20)),
inference(cnf_transformation,[],[f303]) ).
cnf(c_179,plain,
op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22)),
inference(cnf_transformation,[],[f297]) ).
cnf(c_180,plain,
op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21)),
inference(cnf_transformation,[],[f296]) ).
cnf(c_182,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(cnf_transformation,[],[f294]) ).
cnf(c_183,plain,
op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22)),
inference(cnf_transformation,[],[f293]) ).
cnf(c_186,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(cnf_transformation,[],[f290]) ).
cnf(c_187,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f289]) ).
cnf(c_191,plain,
op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
inference(cnf_transformation,[],[f285]) ).
cnf(c_192,plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(cnf_transformation,[],[f284]) ).
cnf(c_194,plain,
op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23)),
inference(cnf_transformation,[],[f282]) ).
cnf(c_206,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(cnf_transformation,[],[f270]) ).
cnf(c_215,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(cnf_transformation,[],[f261]) ).
cnf(c_216,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
inference(cnf_transformation,[],[f260]) ).
cnf(c_218,plain,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
inference(cnf_transformation,[],[f258]) ).
cnf(c_221,plain,
op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20)),
inference(cnf_transformation,[],[f255]) ).
cnf(c_227,plain,
op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22)),
inference(cnf_transformation,[],[f249]) ).
cnf(c_256,plain,
( inv1(e13) != e12
| inv1(e12) = e13 ),
inference(cnf_transformation,[],[f351]) ).
cnf(c_257,plain,
( inv1(e13) != e11
| inv1(e11) = e13 ),
inference(cnf_transformation,[],[f350]) ).
cnf(c_258,plain,
( inv1(e13) != e10
| inv1(e10) = e13 ),
inference(cnf_transformation,[],[f349]) ).
cnf(c_342,plain,
op1(e13,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f388]) ).
cnf(c_343,plain,
op1(e12,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f387]) ).
cnf(c_344,plain,
op1(e11,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f386]) ).
cnf(c_354,plain,
op2(e22,e23) != op2(e22,e20),
inference(cnf_transformation,[],[f472]) ).
cnf(c_363,plain,
op2(e20,e23) != op2(e20,e22),
inference(cnf_transformation,[],[f463]) ).
cnf(c_372,plain,
op2(e23,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f454]) ).
cnf(c_373,plain,
op2(e22,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f453]) ).
cnf(c_375,plain,
op2(e23,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f451]) ).
cnf(c_378,plain,
op2(e23,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f448]) ).
cnf(c_379,plain,
op2(e22,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f447]) ).
cnf(c_396,plain,
e13 != e10,
inference(cnf_transformation,[],[f484]) ).
cnf(c_397,plain,
e12 != e10,
inference(cnf_transformation,[],[f483]) ).
cnf(c_398,plain,
e11 != e10,
inference(cnf_transformation,[],[f482]) ).
cnf(c_400,plain,
e23 != e21,
inference(cnf_transformation,[],[f492]) ).
cnf(c_402,plain,
e23 != e20,
inference(cnf_transformation,[],[f490]) ).
cnf(c_403,plain,
e22 != e20,
inference(cnf_transformation,[],[f489]) ).
cnf(c_404,plain,
e21 != e20,
inference(cnf_transformation,[],[f488]) ).
cnf(c_421,plain,
( ~ sP2
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[],[f513]) ).
cnf(c_425,plain,
( ~ sP1
| op1(e13,e13) = e11 ),
inference(cnf_transformation,[],[f517]) ).
cnf(c_430,plain,
( ~ sP0
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[],[f520]) ).
cnf(c_431,plain,
( ~ sP0
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[],[f519]) ).
cnf(c_432,plain,
( ~ sP0
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f518]) ).
cnf(c_433,plain,
( op1(e13,e13) = e13
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f525]) ).
cnf(c_437,plain,
( ~ sP5
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[],[f529]) ).
cnf(c_441,plain,
( ~ sP4
| op2(e23,e23) = e21 ),
inference(cnf_transformation,[],[f533]) ).
cnf(c_446,plain,
( ~ sP3
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[],[f536]) ).
cnf(c_447,plain,
( ~ sP3
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f535]) ).
cnf(c_448,plain,
( ~ sP3
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f534]) ).
cnf(c_449,plain,
( op2(e23,e23) = e23
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f541]) ).
cnf(c_453,plain,
op1(e12,e13) = e11,
inference(cnf_transformation,[],[f543]) ).
cnf(c_454,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[],[f542]) ).
cnf(c_455,plain,
op2(e22,e23) = e21,
inference(cnf_transformation,[],[f545]) ).
cnf(c_456,plain,
op2(e23,e23) = e20,
inference(cnf_transformation,[],[f544]) ).
cnf(c_457,plain,
op2(e20,e21) = h1(e11),
inference(cnf_transformation,[],[f549]) ).
cnf(c_458,plain,
op2(e21,e21) = h1(e10),
inference(cnf_transformation,[],[f548]) ).
cnf(c_461,plain,
op2(e20,e22) = h2(e11),
inference(cnf_transformation,[],[f553]) ).
cnf(c_462,plain,
op2(e22,e22) = h2(e10),
inference(cnf_transformation,[],[f552]) ).
cnf(c_465,plain,
op2(e20,e23) = h3(e11),
inference(cnf_transformation,[],[f557]) ).
cnf(c_470,plain,
op2(e20,e20) = h4(e10),
inference(cnf_transformation,[],[f560]) ).
cnf(c_473,plain,
op2(e21,e22) = h5(e11),
inference(cnf_transformation,[],[f565]) ).
cnf(c_474,plain,
op2(e22,e22) = h5(e10),
inference(cnf_transformation,[],[f564]) ).
cnf(c_477,plain,
op2(e21,e23) = h6(e11),
inference(cnf_transformation,[],[f569]) ).
cnf(c_480,plain,
h6(e12) = e21,
inference(cnf_transformation,[],[f566]) ).
cnf(c_481,plain,
op2(e22,e20) = h7(e11),
inference(cnf_transformation,[],[f573]) ).
cnf(c_482,plain,
op2(e20,e20) = h7(e10),
inference(cnf_transformation,[],[f572]) ).
cnf(c_485,plain,
op2(e22,e21) = h8(e11),
inference(cnf_transformation,[],[f577]) ).
cnf(c_486,plain,
op2(e21,e21) = h8(e10),
inference(cnf_transformation,[],[f576]) ).
cnf(c_493,plain,
op2(e23,e20) = h10(e11),
inference(cnf_transformation,[],[f585]) ).
cnf(c_494,plain,
op2(e20,e20) = h10(e10),
inference(cnf_transformation,[],[f584]) ).
cnf(c_497,plain,
op2(e23,e21) = h11(e11),
inference(cnf_transformation,[],[f589]) ).
cnf(c_498,plain,
op2(e21,e21) = h11(e10),
inference(cnf_transformation,[],[f588]) ).
cnf(c_501,plain,
op2(e23,e22) = h12(e11),
inference(cnf_transformation,[],[f593]) ).
cnf(c_502,plain,
op2(e22,e22) = h12(e10),
inference(cnf_transformation,[],[f592]) ).
cnf(c_503,plain,
h12(e13) = e22,
inference(cnf_transformation,[],[f591]) ).
cnf(c_504,plain,
h12(e12) = e23,
inference(cnf_transformation,[],[f590]) ).
cnf(c_505,plain,
( h12(e13) != e22
| ~ sP41 ),
inference(cnf_transformation,[],[f597]) ).
cnf(c_511,plain,
( h12(e11) != e21
| ~ sP40 ),
inference(cnf_transformation,[],[f599]) ).
cnf(c_516,plain,
( h12(e10) != e20
| ~ sP39 ),
inference(cnf_transformation,[],[f602]) ).
cnf(c_649,negated_conjecture,
( op2(h12(e13),h12(e13)) != h12(op1(e13,e13))
| op2(h12(e13),h12(e12)) != h12(op1(e13,e12))
| op2(h12(e13),h12(e11)) != h12(op1(e13,e11))
| op2(h12(e13),h12(e10)) != h12(op1(e13,e10))
| op2(h12(e12),h12(e13)) != h12(op1(e12,e13))
| op2(h12(e12),h12(e12)) != h12(op1(e12,e12))
| op2(h12(e12),h12(e11)) != h12(op1(e12,e11))
| op2(h12(e12),h12(e10)) != h12(op1(e12,e10))
| op2(h12(e11),h12(e13)) != h12(op1(e11,e13))
| op2(h12(e11),h12(e12)) != h12(op1(e11,e12))
| op2(h12(e11),h12(e11)) != h12(op1(e11,e11))
| op2(h12(e11),h12(e10)) != h12(op1(e11,e10))
| op2(h12(e10),h12(e13)) != h12(op1(e10,e13))
| op2(h12(e10),h12(e12)) != h12(op1(e10,e12))
| op2(h12(e10),h12(e11)) != h12(op1(e10,e11))
| op2(h12(e10),h12(e10)) != h12(op1(e10,e10))
| h12(e13) != e23
| sP41
| sP40
| sP39 ),
inference(cnf_transformation,[],[f785]) ).
cnf(c_650,negated_conjecture,
( op2(h12(e13),h12(e13)) != h12(op1(e13,e13))
| op2(h12(e13),h12(e12)) != h12(op1(e13,e12))
| op2(h12(e13),h12(e11)) != h12(op1(e13,e11))
| op2(h12(e13),h12(e10)) != h12(op1(e13,e10))
| op2(h12(e12),h12(e13)) != h12(op1(e12,e13))
| op2(h12(e12),h12(e12)) != h12(op1(e12,e12))
| op2(h12(e12),h12(e11)) != h12(op1(e12,e11))
| op2(h12(e12),h12(e10)) != h12(op1(e12,e10))
| op2(h12(e11),h12(e13)) != h12(op1(e11,e13))
| op2(h12(e11),h12(e12)) != h12(op1(e11,e12))
| op2(h12(e11),h12(e11)) != h12(op1(e11,e11))
| op2(h12(e11),h12(e10)) != h12(op1(e11,e10))
| op2(h12(e10),h12(e13)) != h12(op1(e10,e13))
| op2(h12(e10),h12(e12)) != h12(op1(e10,e12))
| op2(h12(e10),h12(e11)) != h12(op1(e10,e11))
| op2(h12(e10),h12(e10)) != h12(op1(e10,e10))
| h12(e12) != e23
| sP41
| sP40
| sP39 ),
inference(cnf_transformation,[],[f784]) ).
cnf(c_652,negated_conjecture,
( op2(h12(e13),h12(e13)) != h12(op1(e13,e13))
| op2(h12(e13),h12(e12)) != h12(op1(e13,e12))
| op2(h12(e13),h12(e11)) != h12(op1(e13,e11))
| op2(h12(e13),h12(e10)) != h12(op1(e13,e10))
| op2(h12(e12),h12(e13)) != h12(op1(e12,e13))
| op2(h12(e12),h12(e12)) != h12(op1(e12,e12))
| op2(h12(e12),h12(e11)) != h12(op1(e12,e11))
| op2(h12(e12),h12(e10)) != h12(op1(e12,e10))
| op2(h12(e11),h12(e13)) != h12(op1(e11,e13))
| op2(h12(e11),h12(e12)) != h12(op1(e11,e12))
| op2(h12(e11),h12(e11)) != h12(op1(e11,e11))
| op2(h12(e11),h12(e10)) != h12(op1(e11,e10))
| op2(h12(e10),h12(e13)) != h12(op1(e10,e13))
| op2(h12(e10),h12(e12)) != h12(op1(e10,e12))
| op2(h12(e10),h12(e11)) != h12(op1(e10,e11))
| op2(h12(e10),h12(e10)) != h12(op1(e10,e10))
| h12(e10) != e23
| sP41
| sP40
| sP39 ),
inference(cnf_transformation,[],[f782]) ).
cnf(c_845,plain,
op2(e22,e23) = e21,
inference(global_subsumption_just,[status(thm)],[c_154,c_455]) ).
cnf(c_847,plain,
op2(e23,e23) = e20,
inference(global_subsumption_just,[status(thm)],[c_150,c_456]) ).
cnf(c_849,plain,
op1(e12,e13) = e11,
inference(global_subsumption_just,[status(thm)],[c_53,c_453]) ).
cnf(c_851,plain,
op1(e13,e13) = e10,
inference(global_subsumption_just,[status(thm)],[c_49,c_454]) ).
cnf(c_941,negated_conjecture,
( op2(h12(e13),h12(e13)) != h12(op1(e13,e13))
| op2(h12(e13),h12(e12)) != h12(op1(e13,e12))
| op2(h12(e13),h12(e11)) != h12(op1(e13,e11))
| op2(h12(e13),h12(e10)) != h12(op1(e13,e10))
| op2(h12(e12),h12(e13)) != h12(op1(e12,e13))
| op2(h12(e12),h12(e12)) != h12(op1(e12,e12))
| op2(h12(e12),h12(e11)) != h12(op1(e12,e11))
| op2(h12(e12),h12(e10)) != h12(op1(e12,e10))
| op2(h12(e11),h12(e13)) != h12(op1(e11,e13))
| op2(h12(e11),h12(e12)) != h12(op1(e11,e12))
| op2(h12(e11),h12(e11)) != h12(op1(e11,e11))
| op2(h12(e11),h12(e10)) != h12(op1(e11,e10))
| op2(h12(e10),h12(e13)) != h12(op1(e10,e13))
| op2(h12(e10),h12(e12)) != h12(op1(e10,e12))
| op2(h12(e10),h12(e11)) != h12(op1(e10,e11))
| op2(h12(e10),h12(e10)) != h12(op1(e10,e10))
| sP40
| sP39 ),
inference(global_subsumption_just,[status(thm)],[c_652,c_504,c_503,c_505,c_650]) ).
cnf(c_947,negated_conjecture,
( op2(h12(e13),h12(e13)) != h12(op1(e13,e13))
| op2(h12(e13),h12(e12)) != h12(op1(e13,e12))
| op2(h12(e13),h12(e11)) != h12(op1(e13,e11))
| op2(h12(e13),h12(e10)) != h12(op1(e13,e10))
| op2(h12(e12),h12(e13)) != h12(op1(e12,e13))
| op2(h12(e12),h12(e12)) != h12(op1(e12,e12))
| op2(h12(e12),h12(e11)) != h12(op1(e12,e11))
| op2(h12(e12),h12(e10)) != h12(op1(e12,e10))
| op2(h12(e11),h12(e13)) != h12(op1(e11,e13))
| op2(h12(e11),h12(e12)) != h12(op1(e11,e12))
| op2(h12(e11),h12(e11)) != h12(op1(e11,e11))
| op2(h12(e11),h12(e10)) != h12(op1(e11,e10))
| op2(h12(e10),h12(e13)) != h12(op1(e10,e13))
| op2(h12(e10),h12(e12)) != h12(op1(e10,e12))
| op2(h12(e10),h12(e11)) != h12(op1(e10,e11))
| op2(h12(e10),h12(e10)) != h12(op1(e10,e10))
| sP40
| sP39 ),
inference(global_subsumption_just,[status(thm)],[c_649,c_941]) ).
cnf(c_949,plain,
( inv1(e12) = e13
| inv1(e13) != e12 ),
inference(prop_impl_just,[status(thm)],[c_256]) ).
cnf(c_950,plain,
( inv1(e13) != e12
| inv1(e12) = e13 ),
inference(renaming,[status(thm)],[c_949]) ).
cnf(c_953,plain,
( inv1(e11) = e13
| inv1(e13) != e11 ),
inference(prop_impl_just,[status(thm)],[c_257]) ).
cnf(c_954,plain,
( inv1(e13) != e11
| inv1(e11) = e13 ),
inference(renaming,[status(thm)],[c_953]) ).
cnf(c_957,plain,
( inv1(e10) = e13
| inv1(e13) != e10 ),
inference(prop_impl_just,[status(thm)],[c_258]) ).
cnf(c_958,plain,
( inv1(e13) != e10
| inv1(e10) = e13 ),
inference(renaming,[status(thm)],[c_957]) ).
cnf(c_997,plain,
( ~ sP2
| op1(e13,e13) = e12 ),
inference(prop_impl_just,[status(thm)],[c_421]) ).
cnf(c_1005,plain,
( ~ sP1
| op1(e13,e13) = e11 ),
inference(prop_impl_just,[status(thm)],[c_425]) ).
cnf(c_1013,plain,
( ~ sP0
| op1(e12,e12) = e10 ),
inference(prop_impl_just,[status(thm)],[c_430]) ).
cnf(c_1015,plain,
( ~ sP0
| op1(e11,e11) = e10 ),
inference(prop_impl_just,[status(thm)],[c_431]) ).
cnf(c_1017,plain,
( ~ sP0
| op1(e10,e10) = e10 ),
inference(prop_impl_just,[status(thm)],[c_432]) ).
cnf(c_1019,plain,
( ~ sP5
| op2(e23,e23) = e22 ),
inference(prop_impl_just,[status(thm)],[c_437]) ).
cnf(c_1027,plain,
( ~ sP4
| op2(e23,e23) = e21 ),
inference(prop_impl_just,[status(thm)],[c_441]) ).
cnf(c_1035,plain,
( ~ sP3
| op2(e22,e22) = e20 ),
inference(prop_impl_just,[status(thm)],[c_446]) ).
cnf(c_1037,plain,
( ~ sP3
| op2(e21,e21) = e20 ),
inference(prop_impl_just,[status(thm)],[c_447]) ).
cnf(c_1039,plain,
( ~ sP3
| op2(e20,e20) = e20 ),
inference(prop_impl_just,[status(thm)],[c_448]) ).
cnf(c_1045,plain,
( ~ sP40
| h12(e11) != e21 ),
inference(prop_impl_just,[status(thm)],[c_511]) ).
cnf(c_1046,plain,
( h12(e11) != e21
| ~ sP40 ),
inference(renaming,[status(thm)],[c_1045]) ).
cnf(c_1063,plain,
( ~ sP39
| h12(e10) != e20 ),
inference(prop_impl_just,[status(thm)],[c_516]) ).
cnf(c_1064,plain,
( h12(e10) != e20
| ~ sP39 ),
inference(renaming,[status(thm)],[c_1063]) ).
cnf(c_2291,plain,
( inv1(e13) = e13
| inv1(e12) = e13
| inv1(e11) = e13
| inv1(e10) = e13 ),
inference(bin_hyper_res,[status(thm)],[c_138,c_958,c_954,c_950]) ).
cnf(c_4971,plain,
h8(e10) = h11(e10),
inference(light_normalisation,[status(thm)],[c_486,c_498]) ).
cnf(c_4972,plain,
op2(e21,e21) = h8(e10),
inference(demodulation,[status(thm)],[c_498,c_4971]) ).
cnf(c_4973,plain,
h7(e10) = h10(e10),
inference(light_normalisation,[status(thm)],[c_482,c_494]) ).
cnf(c_4974,plain,
op2(e20,e20) = h7(e10),
inference(demodulation,[status(thm)],[c_494,c_4973]) ).
cnf(c_4976,plain,
h5(e10) = h12(e10),
inference(light_normalisation,[status(thm)],[c_474,c_502]) ).
cnf(c_4977,plain,
op2(e22,e22) = h5(e10),
inference(demodulation,[status(thm)],[c_502,c_4976]) ).
cnf(c_4978,plain,
h4(e10) = h7(e10),
inference(light_normalisation,[status(thm)],[c_470,c_4974]) ).
cnf(c_4979,plain,
op2(e20,e20) = h4(e10),
inference(demodulation,[status(thm)],[c_4974,c_4978]) ).
cnf(c_4982,plain,
h2(e10) = h5(e10),
inference(light_normalisation,[status(thm)],[c_462,c_4977]) ).
cnf(c_4983,plain,
op2(e22,e22) = h2(e10),
inference(demodulation,[status(thm)],[c_4977,c_4982]) ).
cnf(c_4984,plain,
h2(e10) = h12(e10),
inference(demodulation,[status(thm)],[c_4976,c_4982]) ).
cnf(c_4985,plain,
h1(e10) = h8(e10),
inference(light_normalisation,[status(thm)],[c_458,c_4972]) ).
cnf(c_4986,plain,
op2(e21,e21) = h1(e10),
inference(demodulation,[status(thm)],[c_4972,c_4985]) ).
cnf(c_5121,plain,
( h2(e10) != e20
| ~ sP39 ),
inference(light_normalisation,[status(thm)],[c_1064,c_4984]) ).
cnf(c_5143,plain,
( ~ sP3
| h4(e10) = e20 ),
inference(light_normalisation,[status(thm)],[c_1039,c_4979]) ).
cnf(c_5148,plain,
( ~ sP3
| h1(e10) = e20 ),
inference(light_normalisation,[status(thm)],[c_1037,c_4986]) ).
cnf(c_5153,plain,
( ~ sP3
| h2(e10) = e20 ),
inference(light_normalisation,[status(thm)],[c_1035,c_4983]) ).
cnf(c_5173,plain,
( ~ sP4
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_1027,c_847]) ).
cnf(c_5174,plain,
~ sP4,
inference(forward_subsumption_resolution,[status(thm)],[c_5173,c_404]) ).
cnf(c_5190,plain,
( ~ sP5
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_1019,c_847]) ).
cnf(c_5191,plain,
~ sP5,
inference(forward_subsumption_resolution,[status(thm)],[c_5190,c_403]) ).
cnf(c_5216,plain,
( ~ sP1
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_1005,c_851]) ).
cnf(c_5217,plain,
~ sP1,
inference(forward_subsumption_resolution,[status(thm)],[c_5216,c_398]) ).
cnf(c_5230,plain,
( ~ sP2
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_997,c_851]) ).
cnf(c_5231,plain,
~ sP2,
inference(forward_subsumption_resolution,[status(thm)],[c_5230,c_397]) ).
cnf(c_5250,plain,
( e23 = e20
| sP5
| sP4
| sP3 ),
inference(light_normalisation,[status(thm)],[c_449,c_847]) ).
cnf(c_5251,plain,
sP3,
inference(forward_subsumption_resolution,[status(thm)],[c_5250,c_5174,c_5191,c_402]) ).
cnf(c_5252,plain,
h2(e10) = e20,
inference(backward_subsumption_resolution,[status(thm)],[c_5153,c_5251]) ).
cnf(c_5253,plain,
h1(e10) = e20,
inference(backward_subsumption_resolution,[status(thm)],[c_5148,c_5251]) ).
cnf(c_5254,plain,
h4(e10) = e20,
inference(backward_subsumption_resolution,[status(thm)],[c_5143,c_5251]) ).
cnf(c_5256,plain,
( e20 != e20
| ~ sP39 ),
inference(demodulation,[status(thm)],[c_5121,c_5252]) ).
cnf(c_5259,plain,
op2(e22,e22) = e20,
inference(demodulation,[status(thm)],[c_4983,c_5252]) ).
cnf(c_5260,plain,
h12(e10) = e20,
inference(demodulation,[status(thm)],[c_4984,c_5252]) ).
cnf(c_5263,plain,
~ sP39,
inference(equality_resolution_simp,[status(thm)],[c_5256]) ).
cnf(c_5268,plain,
op2(e21,e21) = e20,
inference(demodulation,[status(thm)],[c_4986,c_5253]) ).
cnf(c_5277,plain,
op2(e20,e20) = e20,
inference(demodulation,[status(thm)],[c_4979,c_5254]) ).
cnf(c_5295,plain,
( e13 = e10
| sP2
| sP1
| sP0 ),
inference(light_normalisation,[status(thm)],[c_433,c_851]) ).
cnf(c_5296,plain,
sP0,
inference(forward_subsumption_resolution,[status(thm)],[c_5295,c_5217,c_5231,c_396]) ).
cnf(c_5297,plain,
op1(e10,e10) = e10,
inference(backward_subsumption_resolution,[status(thm)],[c_1017,c_5296]) ).
cnf(c_5298,plain,
op1(e11,e11) = e10,
inference(backward_subsumption_resolution,[status(thm)],[c_1015,c_5296]) ).
cnf(c_5299,plain,
op1(e12,e12) = e10,
inference(backward_subsumption_resolution,[status(thm)],[c_1013,c_5296]) ).
cnf(c_5313,plain,
h2(e11) != e20,
inference(light_normalisation,[status(thm)],[c_379,c_461,c_5259]) ).
cnf(c_5314,plain,
h2(e11) != h12(e11),
inference(light_normalisation,[status(thm)],[c_378,c_461,c_501]) ).
cnf(c_5317,plain,
h12(e11) != e20,
inference(light_normalisation,[status(thm)],[c_375,c_501,c_5259]) ).
cnf(c_5319,plain,
h3(e11) != e21,
inference(light_normalisation,[status(thm)],[c_373,c_845,c_465]) ).
cnf(c_5320,plain,
h3(e11) != e20,
inference(light_normalisation,[status(thm)],[c_372,c_847,c_465]) ).
cnf(c_5329,plain,
h2(e11) != h3(e11),
inference(light_normalisation,[status(thm)],[c_363,c_461,c_465]) ).
cnf(c_5338,plain,
h7(e11) != e21,
inference(light_normalisation,[status(thm)],[c_354,c_845,c_481]) ).
cnf(c_5348,plain,
op1(e11,e10) != e10,
inference(light_normalisation,[status(thm)],[c_344,c_5297]) ).
cnf(c_5349,plain,
op1(e12,e10) != e10,
inference(light_normalisation,[status(thm)],[c_343,c_5297]) ).
cnf(c_5350,plain,
op1(e13,e10) != e10,
inference(light_normalisation,[status(thm)],[c_342,c_5297]) ).
cnf(c_5474,plain,
op2(e20,h2(e11)) = h2(e11),
inference(light_normalisation,[status(thm)],[c_227,c_461,c_5277]) ).
cnf(c_5480,plain,
op2(h2(e11),e20) = op2(e20,h7(e11)),
inference(light_normalisation,[status(thm)],[c_221,c_461,c_481]) ).
cnf(c_5483,plain,
op2(h2(e11),e23) = h1(e11),
inference(light_normalisation,[status(thm)],[c_218,c_845,c_457,c_461]) ).
cnf(c_5485,plain,
op2(h3(e11),e21) = op2(e20,h11(e11)),
inference(light_normalisation,[status(thm)],[c_216,c_465,c_497]) ).
cnf(c_5486,plain,
op2(h3(e11),e22) = op2(e20,h12(e11)),
inference(light_normalisation,[status(thm)],[c_215,c_465,c_501]) ).
cnf(c_5518,plain,
op2(e21,h6(e11)) = h3(e11),
inference(light_normalisation,[status(thm)],[c_206,c_465,c_477,c_5268]) ).
cnf(c_5530,plain,
op2(h7(e11),e23) = op2(e22,h3(e11)),
inference(light_normalisation,[status(thm)],[c_194,c_465,c_481]) ).
cnf(c_5532,plain,
op2(h8(e11),e21) = h7(e11),
inference(light_normalisation,[status(thm)],[c_192,c_481,c_485,c_5268]) ).
cnf(c_5533,plain,
op2(h8(e11),e22) = op2(e22,h5(e11)),
inference(light_normalisation,[status(thm)],[c_191,c_473,c_485]) ).
cnf(c_5537,plain,
h2(e11) = h7(e11),
inference(light_normalisation,[status(thm)],[c_187,c_461,c_481,c_5259]) ).
cnf(c_5539,plain,
op2(h8(e11),e21) = h2(e11),
inference(demodulation,[status(thm)],[c_5532,c_5537]) ).
cnf(c_5540,plain,
op2(h2(e11),e23) = op2(e22,h3(e11)),
inference(demodulation,[status(thm)],[c_5530,c_5537]) ).
cnf(c_5546,plain,
op2(h2(e11),e20) = op2(e20,h2(e11)),
inference(demodulation,[status(thm)],[c_5480,c_5537]) ).
cnf(c_5547,plain,
h2(e11) != e21,
inference(demodulation,[status(thm)],[c_5338,c_5537]) ).
cnf(c_5551,plain,
op2(e22,e20) = h2(e11),
inference(demodulation,[status(thm)],[c_481,c_5537]) ).
cnf(c_5552,plain,
op2(h2(e11),e20) = h2(e11),
inference(light_normalisation,[status(thm)],[c_5546,c_5474]) ).
cnf(c_5556,plain,
op2(e22,h3(e11)) = h1(e11),
inference(light_normalisation,[status(thm)],[c_5540,c_5483]) ).
cnf(c_5557,plain,
h3(e11) = h8(e11),
inference(light_normalisation,[status(thm)],[c_186,c_845,c_465,c_485,c_5259]) ).
cnf(c_5558,plain,
op2(h3(e11),e21) = h2(e11),
inference(demodulation,[status(thm)],[c_5539,c_5557]) ).
cnf(c_5563,plain,
op2(h3(e11),e22) = op2(e22,h5(e11)),
inference(demodulation,[status(thm)],[c_5533,c_5557]) ).
cnf(c_5573,plain,
op2(e22,h5(e11)) = op2(e20,h12(e11)),
inference(light_normalisation,[status(thm)],[c_5563,c_5486]) ).
cnf(c_5574,plain,
op2(h3(e11),e22) = op2(e22,h5(e11)),
inference(demodulation,[status(thm)],[c_5486,c_5573]) ).
cnf(c_5580,plain,
op2(e20,h11(e11)) = h2(e11),
inference(light_normalisation,[status(thm)],[c_5558,c_5485]) ).
cnf(c_5581,plain,
op2(h3(e11),e21) = h2(e11),
inference(demodulation,[status(thm)],[c_5485,c_5580]) ).
cnf(c_5584,plain,
op2(e22,h12(e11)) = h5(e11),
inference(light_normalisation,[status(thm)],[c_183,c_845,c_473,c_501]) ).
cnf(c_5585,plain,
h2(e11) = h6(e11),
inference(light_normalisation,[status(thm)],[c_182,c_845,c_847,c_477,c_5551]) ).
cnf(c_5591,plain,
op2(e21,h2(e11)) = h3(e11),
inference(demodulation,[status(thm)],[c_5518,c_5585]) ).
cnf(c_5614,plain,
op2(h10(e11),e21) = op2(e23,h1(e11)),
inference(light_normalisation,[status(thm)],[c_180,c_457,c_493]) ).
cnf(c_5615,plain,
op2(h10(e11),e22) = op2(e23,h2(e11)),
inference(light_normalisation,[status(thm)],[c_179,c_461,c_493]) ).
cnf(c_5621,plain,
op2(h12(e11),e20) = op2(e23,h2(e11)),
inference(light_normalisation,[status(thm)],[c_173,c_501,c_5551]) ).
cnf(c_5623,plain,
op2(h12(e11),e22) = h10(e11),
inference(light_normalisation,[status(thm)],[c_171,c_493,c_501,c_5259]) ).
cnf(c_5624,plain,
op2(h12(e11),e23) = h11(e11),
inference(light_normalisation,[status(thm)],[c_170,c_845,c_497,c_501]) ).
cnf(c_5627,plain,
op2(e23,h12(e11)) = h2(e11),
inference(light_normalisation,[status(thm)],[c_167,c_847,c_461,c_501]) ).
cnf(c_5628,plain,
h3(e11) = h10(e11),
inference(light_normalisation,[status(thm)],[c_166,c_847,c_465,c_493]) ).
cnf(c_5630,plain,
op2(h12(e11),e22) = h3(e11),
inference(demodulation,[status(thm)],[c_5623,c_5628]) ).
cnf(c_5633,plain,
op2(h3(e11),e22) = op2(e23,h2(e11)),
inference(demodulation,[status(thm)],[c_5615,c_5628]) ).
cnf(c_5634,plain,
op2(h3(e11),e21) = op2(e23,h1(e11)),
inference(demodulation,[status(thm)],[c_5614,c_5628]) ).
cnf(c_5646,plain,
op2(e23,e20) = h3(e11),
inference(demodulation,[status(thm)],[c_493,c_5628]) ).
cnf(c_5651,plain,
op2(e23,h1(e11)) = h2(e11),
inference(light_normalisation,[status(thm)],[c_5634,c_5581]) ).
cnf(c_5653,plain,
op2(e23,h2(e11)) = op2(e22,h5(e11)),
inference(light_normalisation,[status(thm)],[c_5633,c_5574]) ).
cnf(c_5655,plain,
op2(e23,h2(e11)) = op2(e20,h12(e11)),
inference(demodulation,[status(thm)],[c_5573,c_5653]) ).
cnf(c_5668,plain,
op1(e11,e10) = op1(e10,e11),
inference(light_normalisation,[status(thm)],[c_107,c_5298]) ).
cnf(c_5686,plain,
op1(e11,op1(e11,e13)) = op1(e10,e13),
inference(light_normalisation,[status(thm)],[c_105,c_5298]) ).
cnf(c_5690,plain,
op1(op1(e12,e10),e10) = op1(e12,e10),
inference(light_normalisation,[status(thm)],[c_96,c_5297]) ).
cnf(c_5692,plain,
op1(op1(e12,e11),e11) = op1(e12,e10),
inference(light_normalisation,[status(thm)],[c_91,c_5298]) ).
cnf(c_5695,plain,
op1(e12,e10) = op1(e10,e12),
inference(light_normalisation,[status(thm)],[c_86,c_5299]) ).
cnf(c_5701,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e12,e10)),
inference(demodulation,[status(thm)],[c_110,c_5695]) ).
cnf(c_5715,plain,
op1(e12,e11) = op1(e10,e13),
inference(light_normalisation,[status(thm)],[c_85,c_849,c_5299]) ).
cnf(c_5718,plain,
op1(e11,op1(e11,e13)) = op1(e12,e11),
inference(demodulation,[status(thm)],[c_5686,c_5715]) ).
cnf(c_5742,plain,
op1(e12,e10) = op1(e11,e13),
inference(light_normalisation,[status(thm)],[c_81,c_849,c_851]) ).
cnf(c_5743,plain,
op1(e11,op1(e12,e10)) = op1(e12,e11),
inference(demodulation,[status(thm)],[c_5718,c_5742]) ).
cnf(c_5762,plain,
op1(op1(e11,e10),e12) = op1(e12,e11),
inference(demodulation,[status(thm)],[c_5701,c_5743]) ).
cnf(c_5764,plain,
op1(op1(e13,e10),e10) = op1(e13,e10),
inference(light_normalisation,[status(thm)],[c_80,c_5297]) ).
cnf(c_5765,plain,
op1(op1(e13,e10),e11) = op1(e13,op1(e11,e10)),
inference(light_normalisation,[status(thm)],[c_79,c_5668]) ).
cnf(c_5766,plain,
op1(op1(e13,e10),e12) = op1(e13,op1(e12,e10)),
inference(light_normalisation,[status(thm)],[c_78,c_5695]) ).
cnf(c_5773,plain,
op1(e13,op1(e13,e11)) = op1(e11,e10),
inference(light_normalisation,[status(thm)],[c_67,c_851,c_5668]) ).
cnf(c_5775,plain,
op1(e13,e10) = op1(e12,e11),
inference(light_normalisation,[status(thm)],[c_65,c_851,c_5715]) ).
cnf(c_5779,plain,
op1(op1(e11,e10),e12) = op1(e13,e10),
inference(demodulation,[status(thm)],[c_5762,c_5775]) ).
cnf(c_5790,plain,
op1(e13,e10) = op1(e10,e13),
inference(demodulation,[status(thm)],[c_5715,c_5775]) ).
cnf(c_5793,plain,
op1(op1(e13,e10),e11) = op1(e12,e10),
inference(demodulation,[status(thm)],[c_5692,c_5775]) ).
cnf(c_5799,plain,
op1(e13,op1(e11,e10)) = op1(e12,e10),
inference(light_normalisation,[status(thm)],[c_5793,c_5765]) ).
cnf(c_5894,plain,
( h2(e11) = e23
| h2(e11) = e22
| h2(e11) = e21
| h2(e11) = e20 ),
inference(light_normalisation,[status(thm)],[c_163,c_461]) ).
cnf(c_5895,plain,
( h2(e11) = e23
| h2(e11) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5894,c_5313,c_5547]) ).
cnf(c_5900,plain,
( h3(e11) = e23
| h3(e11) = e22
| h3(e11) = e21
| h3(e11) = e20 ),
inference(light_normalisation,[status(thm)],[c_162,c_465]) ).
cnf(c_5901,plain,
( h3(e11) = e23
| h3(e11) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5900,c_5320,c_5319]) ).
cnf(c_5932,plain,
( h12(e11) = e23
| h12(e11) = e22
| h12(e11) = e21
| h12(e11) = e20 ),
inference(light_normalisation,[status(thm)],[c_151,c_501]) ).
cnf(c_5933,plain,
( h12(e11) = e23
| h12(e11) = e22
| h12(e11) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5932,c_5317]) ).
cnf(c_5985,plain,
( op2(h12(e11),h12(e11)) != e20
| op2(e23,h2(e11)) != h12(op1(e11,e10))
| h12(op1(e13,e12)) != e21
| h12(op1(e13,e11)) != h5(e11)
| h12(op1(e13,e10)) != h2(e11)
| h12(op1(e12,e10)) != h3(e11)
| h12(op1(e11,e12)) != h11(e11)
| h12(e11) != h12(e11)
| e20 != e20
| sP40
| sP39 ),
inference(light_normalisation,[status(thm)],[c_947,c_849,c_851,c_845,c_847,c_461,c_465,c_501,c_503,c_504,c_5259,c_5260,c_5277,c_5297,c_5298,c_5299,c_5551,c_5584,c_5621,c_5624,c_5627,c_5630,c_5646,c_5655,c_5668,c_5695,c_5742,c_5775,c_5790]) ).
cnf(c_5986,plain,
( op2(h12(e11),h12(e11)) != e20
| op2(e23,h2(e11)) != h12(op1(e11,e10))
| h12(op1(e13,e12)) != e21
| h12(op1(e13,e11)) != h5(e11)
| h12(op1(e13,e10)) != h2(e11)
| h12(op1(e12,e10)) != h3(e11)
| h12(op1(e11,e12)) != h11(e11)
| sP40
| sP39 ),
inference(equality_resolution_simp,[status(thm)],[c_5985]) ).
cnf(c_5987,plain,
( op2(h12(e11),h12(e11)) != e20
| op2(e23,h2(e11)) != h12(op1(e11,e10))
| h12(op1(e13,e12)) != e21
| h12(op1(e13,e11)) != h5(e11)
| h12(op1(e13,e10)) != h2(e11)
| h12(op1(e12,e10)) != h3(e11)
| h12(op1(e11,e12)) != h11(e11)
| sP40 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5986,c_5263]) ).
cnf(c_6269,plain,
( op2(h12(e11),h12(e11)) != e20
| op2(e23,h2(e11)) != h12(op1(e11,e10))
| h12(op1(e13,e12)) != e21
| h12(op1(e13,e11)) != h5(e11)
| h12(op1(e13,e10)) != h2(e11)
| h12(op1(e12,e10)) != h3(e11)
| h12(op1(e11,e12)) != h11(e11)
| h12(e11) != e21 ),
inference(resolution,[status(thm)],[c_5987,c_1046]) ).
cnf(c_6490,plain,
( h3(e11) = e22
| h3(e11) = e23 ),
inference(prop_impl_just,[status(thm)],[c_5901]) ).
cnf(c_6491,plain,
( h3(e11) = e23
| h3(e11) = e22 ),
inference(renaming,[status(thm)],[c_6490]) ).
cnf(c_6492,plain,
( h2(e11) = e22
| h2(e11) = e23 ),
inference(prop_impl_just,[status(thm)],[c_5895]) ).
cnf(c_6493,plain,
( h2(e11) = e23
| h2(e11) = e22 ),
inference(renaming,[status(thm)],[c_6492]) ).
cnf(c_9920,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_6269,c_5933,c_6491,c_6493,c_5799,c_5790,c_5779,c_5773,c_5766,c_5764,c_5742,c_5695,c_5690,c_5668,c_5653,c_5651,c_5646,c_5591,c_5556,c_5552,c_5483,c_5350,c_5349,c_5348,c_5329,c_5314,c_5268,c_2291,c_504,c_503,c_501,c_497,c_480,c_473,c_455,c_454,c_453,c_400,c_149,c_147,c_145,c_143,c_137,c_135,c_133,c_131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : ALG015+1 : TPTP v8.1.2. Released v2.7.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 23:06:50 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.63/1.62 % SZS status Started for theBenchmark.p
% 5.63/1.62 % SZS status Theorem for theBenchmark.p
% 5.63/1.62
% 5.63/1.62 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 5.63/1.62
% 5.63/1.62 ------ iProver source info
% 5.63/1.62
% 5.63/1.62 git: date: 2024-05-02 19:28:25 +0000
% 5.63/1.62 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 5.63/1.62 git: non_committed_changes: false
% 5.63/1.62
% 5.63/1.62 ------ Parsing...
% 5.63/1.62 ------ Clausification by vclausify_rel & Parsing by iProver...
% 5.63/1.62
% 5.63/1.62 ------ Preprocessing... sup_sim: 651 sf_s rm: 37 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 5.63/1.62
% 5.63/1.62 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 5.63/1.62
% 5.63/1.62 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 5.63/1.62 ------ Proving...
% 5.63/1.62 ------ Problem Properties
% 5.63/1.62
% 5.63/1.62
% 5.63/1.62 clauses 334
% 5.63/1.62 conjectures 0
% 5.63/1.62 EPR 30
% 5.63/1.62 Horn 312
% 5.63/1.62 unary 280
% 5.63/1.62 binary 28
% 5.63/1.62 lits 464
% 5.63/1.62 lits eq 464
% 5.63/1.62 fd_pure 0
% 5.63/1.62 fd_pseudo 0
% 5.63/1.62 fd_cond 0
% 5.63/1.62 fd_pseudo_cond 0
% 5.63/1.62 AC symbols 0
% 5.63/1.62
% 5.63/1.62 ------ Schedule dynamic 5 is on
% 5.63/1.62
% 5.63/1.62 ------ no conjectures: strip conj schedule
% 5.63/1.62
% 5.63/1.62 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 5.63/1.62
% 5.63/1.62
% 5.63/1.62 ------
% 5.63/1.62 Current options:
% 5.63/1.62 ------
% 5.63/1.62
% 5.63/1.62
% 5.63/1.62
% 5.63/1.62
% 5.63/1.62 ------ Proving...
% 5.63/1.62
% 5.63/1.62
% 5.63/1.62 % SZS status Theorem for theBenchmark.p
% 5.63/1.62
% 5.63/1.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.72/1.63
% 5.72/1.63
%------------------------------------------------------------------------------