TSTP Solution File: ALG113+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG113+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 : Tue Apr 30 20:09:54 EDT 2024
% Result : Theorem 2.14s 0.64s
% Output : CNFRefutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 140
% Syntax : Number of formulae : 605 ( 110 unt; 0 def)
% Number of atoms : 3351 (2456 equ)
% Maximal formula atoms : 384 ( 5 avg)
% Number of connectives : 4255 (1509 ~;1652 |; 967 &)
% ( 91 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 129 ( 127 usr; 128 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( op1(e10,e10) = e10
& op1(e11,e11) = e11
& op1(e12,e12) = e12
& op1(e13,e13) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( op2(e20,e20) = e20
& op2(e21,e21) = e21
& op2(e22,e22) = e22
& op2(e23,e23) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e10 = op1(e12,e13)
& e11 = op1(op1(e12,e13),e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e20 = op2(e22,e23)
& e21 = op2(op2(e22,e23),e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
( h12(e12) = e23
& h12(e13) = e22
& h12(e10) = op2(e23,e22)
& h12(e11) = op2(op2(e23,e22),e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) )
| ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
| ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
| ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
| ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
| ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
| ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
| ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
| ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(e13) = e22 )
& ( h12(e10) = e23
| h12(e11) = e23
| h12(e12) = e23
| h12(e13) = e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) )
| ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
| ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
| ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
| ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
| ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
| ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
| ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
| ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(e13) = e22 )
& ( h12(e10) = e23
| h12(e11) = e23
| h12(e12) = e23
| h12(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f34,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f48,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f50,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f51,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f59,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f62,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f63,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f68,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f72,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f73,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f96,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f97,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f98,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f99,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f100,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f101,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f107,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f110,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f111,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f121,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f126,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f132,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f137,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f139,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f141,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f147,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f153,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f155,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f157,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f168,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f170,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f172,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f181,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f185,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f193,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f201,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f205,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f209,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f212,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f216,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f218,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f220,plain,
e10 != e11,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f221,plain,
e10 != e12,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f222,plain,
e10 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f223,plain,
e11 != e12,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f224,plain,
e11 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f225,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f226,plain,
e20 != e21,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f227,plain,
e20 != e22,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f228,plain,
e20 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f229,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f230,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f231,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f248,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f249,plain,
op1(e11,e11) = e11,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f250,plain,
op1(e12,e12) = e12,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f251,plain,
op1(e13,e13) = e13,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f252,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f253,plain,
op2(e21,e21) = e21,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f254,plain,
op2(e22,e22) = e22,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f255,plain,
op2(e23,e23) = e23,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f256,plain,
e10 = op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f257,plain,
e11 = op1(op1(e12,e13),e13),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f258,plain,
e20 = op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f259,plain,
e21 = op2(op2(e22,e23),e23),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f304,plain,
h12(e12) = e23,
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f305,plain,
h12(e13) = e22,
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f306,plain,
h12(e10) = op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f307,plain,
h12(e11) = op2(op2(e23,e22),e22),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f308,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 )
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 )
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h12(op1(e10,e10)) != op2(h12(e10),h12(e10))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| ( h12(e10) != e20
& h12(e11) != e20
& h12(e12) != e20
& h12(e13) != e20 )
| ( h12(e10) != e21
& h12(e11) != e21
& h12(e12) != e21
& h12(e13) != e21 )
| ( h12(e10) != e22
& h12(e11) != e22
& h12(e12) != e22
& h12(e13) != e22 )
| ( h12(e10) != e23
& h12(e11) != e23
& h12(e12) != e23
& h12(e13) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f309,plain,
( pd0_0
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f308]) ).
fof(f310,plain,
( pd0_1
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f308]) ).
fof(f311,plain,
( pd0_2
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f308]) ).
fof(f312,plain,
( pd0_3
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f308]) ).
fof(f313,plain,
( pd0_4
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f308]) ).
fof(f314,plain,
( pd0_5
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f308]) ).
fof(f315,plain,
( pd0_6
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f308]) ).
fof(f316,plain,
( pd0_7
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f308]) ).
fof(f317,plain,
( pd0_8
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f308]) ).
fof(f318,plain,
( pd0_9
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f308]) ).
fof(f319,plain,
( pd0_10
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f308]) ).
fof(f320,plain,
( pd0_11
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f308]) ).
fof(f321,plain,
( pd0_12
=> ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 ) ),
introduced(predicate_definition,[f308]) ).
fof(f322,plain,
( pd0_13
=> ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 ) ),
introduced(predicate_definition,[f308]) ).
fof(f323,plain,
( pd0_14
=> ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 ) ),
introduced(predicate_definition,[f308]) ).
fof(f324,plain,
( pd0_15
=> ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 ) ),
introduced(predicate_definition,[f308]) ).
fof(f325,plain,
( pd0_16
=> ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 ) ),
introduced(predicate_definition,[f308]) ).
fof(f326,plain,
( pd0_17
=> ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) ),
introduced(predicate_definition,[f308]) ).
fof(f327,plain,
( pd0_18
=> ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 ) ),
introduced(predicate_definition,[f308]) ).
fof(f328,plain,
( pd0_19
=> ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 ) ),
introduced(predicate_definition,[f308]) ).
fof(f329,plain,
( pd0_20
=> ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 ) ),
introduced(predicate_definition,[f308]) ).
fof(f330,plain,
( pd0_21
=> ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 ) ),
introduced(predicate_definition,[f308]) ).
fof(f331,plain,
( pd0_22
=> ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 ) ),
introduced(predicate_definition,[f308]) ).
fof(f332,plain,
( pd0_23
=> ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 ) ),
introduced(predicate_definition,[f308]) ).
fof(f333,plain,
( pd0_24
=> ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 ) ),
introduced(predicate_definition,[f308]) ).
fof(f334,plain,
( pd0_25
=> ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ),
introduced(predicate_definition,[f308]) ).
fof(f335,plain,
( pd0_26
=> ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 ) ),
introduced(predicate_definition,[f308]) ).
fof(f336,plain,
( pd0_27
=> ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 ) ),
introduced(predicate_definition,[f308]) ).
fof(f337,plain,
( pd0_28
=> ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 ) ),
introduced(predicate_definition,[f308]) ).
fof(f338,plain,
( pd0_29
=> ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) ),
introduced(predicate_definition,[f308]) ).
fof(f339,plain,
( pd0_30
=> ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 ) ),
introduced(predicate_definition,[f308]) ).
fof(f340,plain,
( pd0_31
=> ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 ) ),
introduced(predicate_definition,[f308]) ).
fof(f341,plain,
( pd0_32
=> ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) ),
introduced(predicate_definition,[f308]) ).
fof(f342,plain,
( pd0_33
=> ( h12(e10) != e20
& h12(e11) != e20
& h12(e12) != e20
& h12(e13) != e20 ) ),
introduced(predicate_definition,[f308]) ).
fof(f343,plain,
( pd0_34
=> ( h12(e10) != e21
& h12(e11) != e21
& h12(e12) != e21
& h12(e13) != e21 ) ),
introduced(predicate_definition,[f308]) ).
fof(f344,plain,
( pd0_35
=> ( h12(e10) != e22
& h12(e11) != e22
& h12(e12) != e22
& h12(e13) != e22 ) ),
introduced(predicate_definition,[f308]) ).
fof(f345,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| pd0_0
| pd0_1
| pd0_2
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| pd0_3
| pd0_4
| pd0_5
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_6
| pd0_7
| pd0_8
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| pd0_9
| pd0_10
| pd0_11
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| pd0_12
| pd0_13
| pd0_14
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| pd0_15
| pd0_16
| pd0_17
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| pd0_18
| pd0_19
| pd0_20
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| pd0_21
| pd0_22
| pd0_23
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| pd0_24
| pd0_25
| pd0_26
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| pd0_27
| pd0_28
| pd0_29
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| pd0_30
| pd0_31
| pd0_32
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h12(op1(e10,e10)) != op2(h12(e10),h12(e10))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| pd0_33
| pd0_34
| pd0_35
| ( h12(e10) != e23
& h12(e11) != e23
& h12(e12) != e23
& h12(e13) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f308,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f332,f331,f330,f329,f328,f327,f326,f325,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309]) ).
fof(f392,plain,
( h12(op1(e10,e10)) != op2(h12(e10),h12(e10))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| pd0_33
| pd0_34
| pd0_35
| h12(e12) != e23 ),
inference(cnf_transformation,[status(esa)],[f345]) ).
fof(f559,plain,
( ~ pd0_33
| ( h12(e10) != e20
& h12(e11) != e20
& h12(e12) != e20
& h12(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f342]) ).
fof(f561,plain,
( ~ pd0_33
| h12(e11) != e20 ),
inference(cnf_transformation,[status(esa)],[f559]) ).
fof(f564,plain,
( ~ pd0_34
| ( h12(e10) != e21
& h12(e11) != e21
& h12(e12) != e21
& h12(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f343]) ).
fof(f565,plain,
( ~ pd0_34
| h12(e10) != e21 ),
inference(cnf_transformation,[status(esa)],[f564]) ).
fof(f569,plain,
( ~ pd0_35
| ( h12(e10) != e22
& h12(e11) != e22
& h12(e12) != e22
& h12(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f344]) ).
fof(f573,plain,
( ~ pd0_35
| h12(e13) != e22 ),
inference(cnf_transformation,[status(esa)],[f569]) ).
fof(f580,plain,
( spl0_2
<=> op1(e10,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f581,plain,
( op1(e10,e10) = e12
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( spl0_3
<=> op1(e10,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f584,plain,
( op1(e10,e10) = e13
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f593,plain,
( spl0_6
<=> op1(e10,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f594,plain,
( op1(e10,e11) = e12
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,plain,
( spl0_7
<=> op1(e10,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f597,plain,
( op1(e10,e11) = e13
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f603,plain,
( spl0_9
<=> op1(e10,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f604,plain,
( op1(e10,e12) = e11
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( spl0_10
<=> op1(e10,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f607,plain,
( op1(e10,e12) = e12
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( spl0_11
<=> op1(e10,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f610,plain,
( op1(e10,e12) = e13
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f619,plain,
( spl0_14
<=> op1(e10,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f620,plain,
( op1(e10,e13) = e12
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,plain,
( spl0_15
<=> op1(e10,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f623,plain,
( op1(e10,e13) = e13
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f635,plain,
( spl0_19
<=> op1(e11,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f636,plain,
( op1(e11,e10) = e13
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f648,plain,
( spl0_23
<=> op1(e11,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f649,plain,
( op1(e11,e11) = e13
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f652,plain,
( spl0_24
<=> op1(e11,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f653,plain,
( op1(e11,e12) = e10
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,plain,
( spl0_25
<=> op1(e11,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f656,plain,
( op1(e11,e12) = e11
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( spl0_26
<=> op1(e11,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f659,plain,
( op1(e11,e12) = e12
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( spl0_27
<=> op1(e11,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f662,plain,
( op1(e11,e12) = e13
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f34,f652,f655,f658,f661]) ).
fof(f671,plain,
( spl0_30
<=> op1(e11,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( op1(e11,e13) = e12
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f681,plain,
( spl0_33
<=> op1(e12,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( op1(e12,e10) = e11
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f687,plain,
( spl0_35
<=> op1(e12,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f688,plain,
( op1(e12,e10) = e13
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f694,plain,
( spl0_37
<=> op1(e12,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f695,plain,
( op1(e12,e11) = e11
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f700,plain,
( spl0_39
<=> op1(e12,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f701,plain,
( op1(e12,e11) = e13
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f707,plain,
( spl0_41
<=> op1(e12,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f708,plain,
( op1(e12,e12) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f720,plain,
( spl0_45
<=> op1(e12,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f721,plain,
( op1(e12,e13) = e11
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( spl0_46
<=> op1(e12,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f724,plain,
( op1(e12,e13) = e12
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f730,plain,
( spl0_48
<=> op1(e13,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f731,plain,
( op1(e13,e10) = e10
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f736,plain,
( spl0_50
<=> op1(e13,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( op1(e13,e10) = e12
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( spl0_51
<=> op1(e13,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f740,plain,
( op1(e13,e10) = e13
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f743,plain,
( spl0_52
<=> op1(e13,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f744,plain,
( op1(e13,e11) = e10
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f749,plain,
( spl0_54
<=> op1(e13,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f750,plain,
( op1(e13,e11) = e12
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( spl0_55
<=> op1(e13,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f753,plain,
( op1(e13,e11) = e13
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f756,plain,
( spl0_56
<=> op1(e13,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f757,plain,
( op1(e13,e12) = e10
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,plain,
( spl0_57
<=> op1(e13,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f760,plain,
( op1(e13,e12) = e11
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,plain,
( spl0_58
<=> op1(e13,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f763,plain,
( op1(e13,e12) = e12
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f769,plain,
( spl0_60
<=> op1(e13,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f770,plain,
( op1(e13,e13) = e10
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f775,plain,
( spl0_62
<=> op1(e13,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f776,plain,
( op1(e13,e13) = e12
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f786,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f48,f580,f593,f606,f619]) ).
fof(f788,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f50,f583,f596,f609,f622]) ).
fof(f789,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f51,f583,f635,f687,f739]) ).
fof(f797,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f59,f596,f648,f700,f752]) ).
fof(f800,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f62,f681,f694,f707,f720]) ).
fof(f801,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f63,f603,f655,f707,f759]) ).
fof(f806,plain,
( spl0_48
| spl0_52
| spl0_56
| spl0_60 ),
inference(split_clause,[status(thm)],[f68,f730,f743,f756,f769]) ).
fof(f810,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f72,f736,f749,f762,f775]) ).
fof(f811,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f73,f619,f671,f723,f775]) ).
fof(f820,plain,
( spl0_66
<=> op2(e20,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f821,plain,
( op2(e20,e20) = e22
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( spl0_67
<=> op2(e20,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f824,plain,
( op2(e20,e20) = e23
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f827,plain,
( spl0_68
<=> op2(e20,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f828,plain,
( op2(e20,e21) = e20
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f833,plain,
( spl0_70
<=> op2(e20,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f834,plain,
( op2(e20,e21) = e22
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,plain,
( spl0_71
<=> op2(e20,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f837,plain,
( op2(e20,e21) = e23
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f843,plain,
( spl0_73
<=> op2(e20,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f844,plain,
( op2(e20,e22) = e21
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( spl0_74
<=> op2(e20,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f847,plain,
( op2(e20,e22) = e22
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( spl0_75
<=> op2(e20,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f850,plain,
( op2(e20,e22) = e23
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f859,plain,
( spl0_78
<=> op2(e20,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f860,plain,
( op2(e20,e23) = e22
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f862,plain,
( spl0_79
<=> op2(e20,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f863,plain,
( op2(e20,e23) = e23
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f866,plain,
( spl0_80
<=> op2(e21,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f867,plain,
( op2(e21,e20) = e20
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f872,plain,
( spl0_82
<=> op2(e21,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f873,plain,
( op2(e21,e20) = e22
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f875,plain,
( spl0_83
<=> op2(e21,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f876,plain,
( op2(e21,e20) = e23
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f875]) ).
fof(f879,plain,
( spl0_84
<=> op2(e21,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f880,plain,
( op2(e21,e21) = e20
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f888,plain,
( spl0_87
<=> op2(e21,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f889,plain,
( op2(e21,e21) = e23
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f892,plain,
( spl0_88
<=> op2(e21,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f893,plain,
( op2(e21,e22) = e20
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f895,plain,
( spl0_89
<=> op2(e21,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f896,plain,
( op2(e21,e22) = e21
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f905,plain,
( spl0_92
<=> op2(e21,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f906,plain,
( op2(e21,e23) = e20
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f905]) ).
fof(f911,plain,
( spl0_94
<=> op2(e21,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f912,plain,
( op2(e21,e23) = e22
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f921,plain,
( spl0_97
<=> op2(e22,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f922,plain,
( op2(e22,e20) = e21
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f921]) ).
fof(f924,plain,
( spl0_98
<=> op2(e22,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f925,plain,
( op2(e22,e20) = e22
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,plain,
( spl0_99
<=> op2(e22,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f928,plain,
( op2(e22,e20) = e23
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f931,plain,
( spl0_100
<=> op2(e22,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f932,plain,
( op2(e22,e21) = e20
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,plain,
( spl0_101
<=> op2(e22,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f935,plain,
( op2(e22,e21) = e21
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f940,plain,
( spl0_103
<=> op2(e22,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f941,plain,
( op2(e22,e21) = e23
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f947,plain,
( spl0_105
<=> op2(e22,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f948,plain,
( op2(e22,e22) = e21
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f947]) ).
fof(f960,plain,
( spl0_109
<=> op2(e22,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f961,plain,
( op2(e22,e23) = e21
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,plain,
( spl0_110
<=> op2(e22,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f964,plain,
( op2(e22,e23) = e22
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f976,plain,
( spl0_114
<=> op2(e23,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f977,plain,
( op2(e23,e20) = e22
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f979,plain,
( spl0_115
<=> op2(e23,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f980,plain,
( op2(e23,e20) = e23
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f983,plain,
( spl0_116
<=> op2(e23,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f984,plain,
( op2(e23,e21) = e20
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f992,plain,
( spl0_119
<=> op2(e23,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f993,plain,
( op2(e23,e21) = e23
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f999,plain,
( spl0_121
<=> op2(e23,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f1000,plain,
( op2(e23,e22) = e21
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1015,plain,
( spl0_126
<=> op2(e23,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1016,plain,
( op2(e23,e23) = e22
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1026,plain,
( spl0_66
| spl0_70
| spl0_74
| spl0_78 ),
inference(split_clause,[status(thm)],[f96,f820,f833,f846,f859]) ).
fof(f1027,plain,
( spl0_66
| spl0_82
| spl0_98
| spl0_114 ),
inference(split_clause,[status(thm)],[f97,f820,f872,f924,f976]) ).
fof(f1028,plain,
( spl0_67
| spl0_71
| spl0_75
| spl0_79 ),
inference(split_clause,[status(thm)],[f98,f823,f836,f849,f862]) ).
fof(f1029,plain,
( spl0_67
| spl0_83
| spl0_99
| spl0_115 ),
inference(split_clause,[status(thm)],[f99,f823,f875,f927,f979]) ).
fof(f1030,plain,
( spl0_80
| spl0_84
| spl0_88
| spl0_92 ),
inference(split_clause,[status(thm)],[f100,f866,f879,f892,f905]) ).
fof(f1031,plain,
( spl0_68
| spl0_84
| spl0_100
| spl0_116 ),
inference(split_clause,[status(thm)],[f101,f827,f879,f931,f983]) ).
fof(f1037,plain,
( spl0_71
| spl0_87
| spl0_103
| spl0_119 ),
inference(split_clause,[status(thm)],[f107,f836,f888,f940,f992]) ).
fof(f1040,plain,
( spl0_97
| spl0_101
| spl0_105
| spl0_109 ),
inference(split_clause,[status(thm)],[f110,f921,f934,f947,f960]) ).
fof(f1041,plain,
( spl0_73
| spl0_89
| spl0_105
| spl0_121 ),
inference(split_clause,[status(thm)],[f111,f843,f895,f947,f999]) ).
fof(f1051,plain,
( spl0_78
| spl0_94
| spl0_110
| spl0_126 ),
inference(split_clause,[status(thm)],[f121,f859,f911,f963,f1015]) ).
fof(f1857,plain,
( spl0_381
<=> h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) ),
introduced(split_symbol_definition) ).
fof(f1859,plain,
( h12(op1(e10,e10)) != op2(h12(e10),h12(e10))
| spl0_381 ),
inference(component_clause,[status(thm)],[f1857]) ).
fof(f1860,plain,
( spl0_382
<=> h12(op1(e10,e11)) = op2(h12(e10),h12(e11)) ),
introduced(split_symbol_definition) ).
fof(f1862,plain,
( h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| spl0_382 ),
inference(component_clause,[status(thm)],[f1860]) ).
fof(f1863,plain,
( spl0_383
<=> h12(op1(e10,e12)) = op2(h12(e10),h12(e12)) ),
introduced(split_symbol_definition) ).
fof(f1865,plain,
( h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| spl0_383 ),
inference(component_clause,[status(thm)],[f1863]) ).
fof(f1866,plain,
( spl0_384
<=> h12(op1(e10,e13)) = op2(h12(e10),h12(e13)) ),
introduced(split_symbol_definition) ).
fof(f1868,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| spl0_384 ),
inference(component_clause,[status(thm)],[f1866]) ).
fof(f1869,plain,
( spl0_385
<=> h12(op1(e11,e10)) = op2(h12(e11),h12(e10)) ),
introduced(split_symbol_definition) ).
fof(f1871,plain,
( h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| spl0_385 ),
inference(component_clause,[status(thm)],[f1869]) ).
fof(f1872,plain,
( spl0_386
<=> h12(op1(e11,e11)) = op2(h12(e11),h12(e11)) ),
introduced(split_symbol_definition) ).
fof(f1874,plain,
( h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| spl0_386 ),
inference(component_clause,[status(thm)],[f1872]) ).
fof(f1875,plain,
( spl0_387
<=> h12(op1(e11,e12)) = op2(h12(e11),h12(e12)) ),
introduced(split_symbol_definition) ).
fof(f1877,plain,
( h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| spl0_387 ),
inference(component_clause,[status(thm)],[f1875]) ).
fof(f1878,plain,
( spl0_388
<=> h12(op1(e11,e13)) = op2(h12(e11),h12(e13)) ),
introduced(split_symbol_definition) ).
fof(f1880,plain,
( h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| spl0_388 ),
inference(component_clause,[status(thm)],[f1878]) ).
fof(f1881,plain,
( spl0_389
<=> h12(op1(e12,e10)) = op2(h12(e12),h12(e10)) ),
introduced(split_symbol_definition) ).
fof(f1883,plain,
( h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| spl0_389 ),
inference(component_clause,[status(thm)],[f1881]) ).
fof(f1884,plain,
( spl0_390
<=> h12(op1(e12,e11)) = op2(h12(e12),h12(e11)) ),
introduced(split_symbol_definition) ).
fof(f1886,plain,
( h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| spl0_390 ),
inference(component_clause,[status(thm)],[f1884]) ).
fof(f1887,plain,
( spl0_391
<=> h12(op1(e12,e12)) = op2(h12(e12),h12(e12)) ),
introduced(split_symbol_definition) ).
fof(f1889,plain,
( h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| spl0_391 ),
inference(component_clause,[status(thm)],[f1887]) ).
fof(f1890,plain,
( spl0_392
<=> h12(op1(e12,e13)) = op2(h12(e12),h12(e13)) ),
introduced(split_symbol_definition) ).
fof(f1892,plain,
( h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| spl0_392 ),
inference(component_clause,[status(thm)],[f1890]) ).
fof(f1893,plain,
( spl0_393
<=> h12(op1(e13,e10)) = op2(h12(e13),h12(e10)) ),
introduced(split_symbol_definition) ).
fof(f1895,plain,
( h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| spl0_393 ),
inference(component_clause,[status(thm)],[f1893]) ).
fof(f1896,plain,
( spl0_394
<=> h12(op1(e13,e11)) = op2(h12(e13),h12(e11)) ),
introduced(split_symbol_definition) ).
fof(f1898,plain,
( h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| spl0_394 ),
inference(component_clause,[status(thm)],[f1896]) ).
fof(f1899,plain,
( spl0_395
<=> h12(op1(e13,e12)) = op2(h12(e13),h12(e12)) ),
introduced(split_symbol_definition) ).
fof(f1901,plain,
( h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| spl0_395 ),
inference(component_clause,[status(thm)],[f1899]) ).
fof(f1902,plain,
( spl0_396
<=> h12(op1(e13,e13)) = op2(h12(e13),h12(e13)) ),
introduced(split_symbol_definition) ).
fof(f1904,plain,
( h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| spl0_396 ),
inference(component_clause,[status(thm)],[f1902]) ).
fof(f1905,plain,
( spl0_397
<=> pd0_33 ),
introduced(split_symbol_definition) ).
fof(f1908,plain,
( spl0_398
<=> pd0_34 ),
introduced(split_symbol_definition) ).
fof(f1911,plain,
( spl0_399
<=> pd0_35 ),
introduced(split_symbol_definition) ).
fof(f1922,plain,
( spl0_402
<=> h12(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f1924,plain,
( h12(e12) != e23
| spl0_402 ),
inference(component_clause,[status(thm)],[f1922]) ).
fof(f1925,plain,
( ~ spl0_381
| ~ spl0_382
| ~ spl0_383
| ~ spl0_384
| ~ spl0_385
| ~ spl0_386
| ~ spl0_387
| ~ spl0_388
| ~ spl0_389
| ~ spl0_390
| ~ spl0_391
| ~ spl0_392
| ~ spl0_393
| ~ spl0_394
| ~ spl0_395
| ~ spl0_396
| spl0_397
| spl0_398
| spl0_399
| ~ spl0_402 ),
inference(split_clause,[status(thm)],[f392,f1857,f1860,f1863,f1866,f1869,f1872,f1875,f1878,f1881,f1884,f1887,f1890,f1893,f1896,f1899,f1902,f1905,f1908,f1911,f1922]) ).
fof(f2462,plain,
( spl0_537
<=> h12(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f2463,plain,
( h12(e11) = e20
| ~ spl0_537 ),
inference(component_clause,[status(thm)],[f2462]) ).
fof(f2464,plain,
( h12(e11) != e20
| spl0_537 ),
inference(component_clause,[status(thm)],[f2462]) ).
fof(f2465,plain,
( ~ spl0_397
| ~ spl0_537 ),
inference(split_clause,[status(thm)],[f561,f1905,f2462]) ).
fof(f2474,plain,
( spl0_540
<=> h12(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f2476,plain,
( h12(e10) != e21
| spl0_540 ),
inference(component_clause,[status(thm)],[f2474]) ).
fof(f2477,plain,
( ~ spl0_398
| ~ spl0_540 ),
inference(split_clause,[status(thm)],[f565,f1908,f2474]) ).
fof(f2502,plain,
( spl0_547
<=> h12(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f2504,plain,
( h12(e13) != e22
| spl0_547 ),
inference(component_clause,[status(thm)],[f2502]) ).
fof(f2505,plain,
( ~ spl0_399
| ~ spl0_547 ),
inference(split_clause,[status(thm)],[f573,f1911,f2502]) ).
fof(f2510,plain,
( h12(e10) != op2(h12(e10),h12(e10))
| spl0_381 ),
inference(backward_demodulation,[status(thm)],[f248,f1859]) ).
fof(f2515,plain,
( h12(e11) != op2(h12(e11),h12(e11))
| spl0_386 ),
inference(backward_demodulation,[status(thm)],[f249,f1874]) ).
fof(f2523,plain,
( h12(e12) != op2(h12(e12),h12(e12))
| spl0_391 ),
inference(backward_demodulation,[status(thm)],[f250,f1889]) ).
fof(f2526,plain,
op1(e11,e12) != e12,
inference(paramodulation,[status(thm)],[f250,f139]) ).
fof(f2527,plain,
op1(e10,e12) != e12,
inference(paramodulation,[status(thm)],[f250,f137]) ).
fof(f2533,plain,
( h12(e13) != op2(h12(e13),h12(e13))
| spl0_396 ),
inference(backward_demodulation,[status(thm)],[f251,f1904]) ).
fof(f2535,plain,
op1(e13,e11) != e13,
inference(paramodulation,[status(thm)],[f251,f170]) ).
fof(f2536,plain,
op1(e13,e10) != e13,
inference(paramodulation,[status(thm)],[f251,f168]) ).
fof(f2543,plain,
op2(e22,e20) != e22,
inference(paramodulation,[status(thm)],[f254,f209]) ).
fof(f2545,plain,
op2(e20,e22) != e22,
inference(paramodulation,[status(thm)],[f254,f185]) ).
fof(f2547,plain,
op2(e23,e21) != e23,
inference(paramodulation,[status(thm)],[f255,f218]) ).
fof(f2548,plain,
op2(e23,e20) != e23,
inference(paramodulation,[status(thm)],[f255,f216]) ).
fof(f2557,plain,
( h12(e10) != op2(h12(e12),h12(e13))
| spl0_392 ),
inference(backward_demodulation,[status(thm)],[f256,f1892]) ).
fof(f2558,plain,
e10 != op1(e13,e13),
inference(backward_demodulation,[status(thm)],[f256,f147]) ).
fof(f2564,plain,
e11 = op1(e10,e13),
inference(forward_demodulation,[status(thm)],[f256,f257]) ).
fof(f2569,plain,
( h12(e11) != op2(h12(e10),h12(e13))
| spl0_384 ),
inference(backward_demodulation,[status(thm)],[f2564,f1868]) ).
fof(f2570,plain,
op1(e10,e12) != e11,
inference(paramodulation,[status(thm)],[f2564,f153]) ).
fof(f2576,plain,
op2(e22,e21) != e20,
inference(paramodulation,[status(thm)],[f258,f212]) ).
fof(f2578,plain,
op2(e21,e23) != e20,
inference(paramodulation,[status(thm)],[f258,f193]) ).
fof(f2580,plain,
e21 = op2(e20,e23),
inference(forward_demodulation,[status(thm)],[f258,f259]) ).
fof(f2581,plain,
op2(e20,e22) != e21,
inference(paramodulation,[status(thm)],[f2580,f201]) ).
fof(f2855,plain,
( h12(op1(e10,e12)) != op2(h12(e10),e23)
| spl0_383 ),
inference(backward_demodulation,[status(thm)],[f304,f1865]) ).
fof(f2856,plain,
( h12(op1(e11,e12)) != op2(h12(e11),e23)
| spl0_387 ),
inference(backward_demodulation,[status(thm)],[f304,f1877]) ).
fof(f2857,plain,
( h12(op1(e12,e10)) != op2(e23,h12(e10))
| spl0_389 ),
inference(backward_demodulation,[status(thm)],[f304,f1883]) ).
fof(f2858,plain,
( h12(op1(e12,e11)) != op2(e23,h12(e11))
| spl0_390 ),
inference(backward_demodulation,[status(thm)],[f304,f1886]) ).
fof(f2859,plain,
( h12(op1(e13,e12)) != op2(h12(e13),e23)
| spl0_395 ),
inference(backward_demodulation,[status(thm)],[f304,f1901]) ).
fof(f2863,plain,
( $false
| spl0_547 ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f2504]) ).
fof(f2864,plain,
spl0_547,
inference(contradiction_clause,[status(thm)],[f2863]) ).
fof(f2874,plain,
h12(e11) = op2(h12(e10),e22),
inference(forward_demodulation,[status(thm)],[f306,f307]) ).
fof(f2892,plain,
( h12(op1(e11,e13)) != op2(h12(e11),e22)
| spl0_388 ),
inference(backward_demodulation,[status(thm)],[f305,f1880]) ).
fof(f2893,plain,
( h12(op1(e13,e10)) != op2(e22,h12(e10))
| spl0_393 ),
inference(backward_demodulation,[status(thm)],[f305,f1895]) ).
fof(f2894,plain,
( h12(op1(e13,e11)) != op2(e22,h12(e11))
| spl0_394 ),
inference(backward_demodulation,[status(thm)],[f305,f1898]) ).
fof(f3062,plain,
( e21 = e23
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f2580,f863]) ).
fof(f3063,plain,
( $false
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f3062,f230]) ).
fof(f3064,plain,
~ spl0_79,
inference(contradiction_clause,[status(thm)],[f3063]) ).
fof(f3068,plain,
( $false
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[status(thm)],[f993,f2547]) ).
fof(f3069,plain,
~ spl0_119,
inference(contradiction_clause,[status(thm)],[f3068]) ).
fof(f3070,plain,
( $false
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f980,f2548]) ).
fof(f3071,plain,
~ spl0_115,
inference(contradiction_clause,[status(thm)],[f3070]) ).
fof(f3072,plain,
( e22 = e23
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f1016,f255]) ).
fof(f3073,plain,
( $false
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f3072,f231]) ).
fof(f3074,plain,
~ spl0_126,
inference(contradiction_clause,[status(thm)],[f3073]) ).
fof(f3075,plain,
( e20 = e22
| ~ spl0_110 ),
inference(forward_demodulation,[status(thm)],[f258,f964]) ).
fof(f3076,plain,
( $false
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f3075,f227]) ).
fof(f3077,plain,
~ spl0_110,
inference(contradiction_clause,[status(thm)],[f3076]) ).
fof(f3088,plain,
( e21 = e22
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f2580,f860]) ).
fof(f3089,plain,
( $false
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f3088,f229]) ).
fof(f3090,plain,
~ spl0_78,
inference(contradiction_clause,[status(thm)],[f3089]) ).
fof(f3119,plain,
( e20 = e21
| ~ spl0_109 ),
inference(forward_demodulation,[status(thm)],[f258,f961]) ).
fof(f3120,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f3119,f226]) ).
fof(f3121,plain,
~ spl0_109,
inference(contradiction_clause,[status(thm)],[f3120]) ).
fof(f3174,plain,
( h12(e10) = e21
| ~ spl0_121 ),
inference(backward_demodulation,[status(thm)],[f1000,f306]) ).
fof(f3175,plain,
( $false
| spl0_540
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f3174,f2476]) ).
fof(f3176,plain,
( spl0_540
| ~ spl0_121 ),
inference(contradiction_clause,[status(thm)],[f3175]) ).
fof(f3198,plain,
( $false
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f906,f2578]) ).
fof(f3199,plain,
~ spl0_92,
inference(contradiction_clause,[status(thm)],[f3198]) ).
fof(f3251,plain,
( $false
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f847,f2545]) ).
fof(f3252,plain,
~ spl0_74,
inference(contradiction_clause,[status(thm)],[f3251]) ).
fof(f3255,plain,
( $false
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f925,f2543]) ).
fof(f3256,plain,
~ spl0_98,
inference(contradiction_clause,[status(thm)],[f3255]) ).
fof(f3257,plain,
( e21 = e22
| ~ spl0_105 ),
inference(backward_demodulation,[status(thm)],[f948,f254]) ).
fof(f3258,plain,
( $false
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f3257,f229]) ).
fof(f3259,plain,
~ spl0_105,
inference(contradiction_clause,[status(thm)],[f3258]) ).
fof(f3263,plain,
( $false
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f844,f2581]) ).
fof(f3264,plain,
~ spl0_73,
inference(contradiction_clause,[status(thm)],[f3263]) ).
fof(f3267,plain,
( op2(e21,e21) != e21
| ~ spl0_89 ),
inference(paramodulation,[status(thm)],[f896,f205]) ).
fof(f3268,plain,
( e21 != e21
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f253,f3267]) ).
fof(f3269,plain,
( $false
| ~ spl0_89 ),
inference(trivial_equality_resolution,[status(esa)],[f3268]) ).
fof(f3270,plain,
~ spl0_89,
inference(contradiction_clause,[status(thm)],[f3269]) ).
fof(f3289,plain,
( e21 = e23
| ~ spl0_97
| ~ spl0_99 ),
inference(backward_demodulation,[status(thm)],[f922,f928]) ).
fof(f3290,plain,
( $false
| ~ spl0_97
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f3289,f230]) ).
fof(f3291,plain,
( ~ spl0_97
| ~ spl0_99 ),
inference(contradiction_clause,[status(thm)],[f3290]) ).
fof(f3295,plain,
( op2(e21,e21) != e21
| ~ spl0_101 ),
inference(paramodulation,[status(thm)],[f935,f181]) ).
fof(f3296,plain,
( e21 != e21
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f253,f3295]) ).
fof(f3297,plain,
( $false
| ~ spl0_101 ),
inference(trivial_equality_resolution,[status(esa)],[f3296]) ).
fof(f3298,plain,
~ spl0_101,
inference(contradiction_clause,[status(thm)],[f3297]) ).
fof(f3378,plain,
( $false
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f932,f2576]) ).
fof(f3379,plain,
~ spl0_100,
inference(contradiction_clause,[status(thm)],[f3378]) ).
fof(f3382,plain,
( e21 = e23
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f253,f889]) ).
fof(f3383,plain,
( $false
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f3382,f230]) ).
fof(f3384,plain,
~ spl0_87,
inference(contradiction_clause,[status(thm)],[f3383]) ).
fof(f3399,plain,
( e22 = e23
| ~ spl0_70
| ~ spl0_71 ),
inference(backward_demodulation,[status(thm)],[f834,f837]) ).
fof(f3400,plain,
( $false
| ~ spl0_70
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f3399,f231]) ).
fof(f3401,plain,
( ~ spl0_70
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f3400]) ).
fof(f3410,plain,
( e22 = e23
| ~ spl0_82
| ~ spl0_83 ),
inference(backward_demodulation,[status(thm)],[f873,f876]) ).
fof(f3411,plain,
( $false
| ~ spl0_82
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f3410,f231]) ).
fof(f3412,plain,
( ~ spl0_82
| ~ spl0_83 ),
inference(contradiction_clause,[status(thm)],[f3411]) ).
fof(f3417,plain,
( e20 = e21
| ~ spl0_84 ),
inference(backward_demodulation,[status(thm)],[f880,f253]) ).
fof(f3418,plain,
( $false
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f3417,f226]) ).
fof(f3419,plain,
~ spl0_84,
inference(contradiction_clause,[status(thm)],[f3418]) ).
fof(f3420,plain,
( e20 = e22
| ~ spl0_68
| ~ spl0_70 ),
inference(backward_demodulation,[status(thm)],[f828,f834]) ).
fof(f3421,plain,
( $false
| ~ spl0_68
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f3420,f227]) ).
fof(f3422,plain,
( ~ spl0_68
| ~ spl0_70 ),
inference(contradiction_clause,[status(thm)],[f3421]) ).
fof(f3428,plain,
( op2(e20,e20) != e20
| ~ spl0_80 ),
inference(paramodulation,[status(thm)],[f867,f172]) ).
fof(f3429,plain,
( e20 != e20
| ~ spl0_80 ),
inference(forward_demodulation,[status(thm)],[f252,f3428]) ).
fof(f3430,plain,
( $false
| ~ spl0_80 ),
inference(trivial_equality_resolution,[status(esa)],[f3429]) ).
fof(f3431,plain,
~ spl0_80,
inference(contradiction_clause,[status(thm)],[f3430]) ).
fof(f3432,plain,
( e20 = e23
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f252,f824]) ).
fof(f3433,plain,
( $false
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f3432,f228]) ).
fof(f3434,plain,
~ spl0_67,
inference(contradiction_clause,[status(thm)],[f3433]) ).
fof(f3436,plain,
( e20 = e22
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f252,f821]) ).
fof(f3437,plain,
( $false
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f3436,f227]) ).
fof(f3438,plain,
~ spl0_66,
inference(contradiction_clause,[status(thm)],[f3437]) ).
fof(f3450,plain,
( e11 = e13
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f2564,f623]) ).
fof(f3451,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f3450,f224]) ).
fof(f3452,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f3451]) ).
fof(f3513,plain,
( h12(e12) != op2(e23,h12(e12))
| spl0_391 ),
inference(forward_demodulation,[status(thm)],[f304,f2523]) ).
fof(f3514,plain,
( h12(e12) != op2(e23,e23)
| spl0_391 ),
inference(forward_demodulation,[status(thm)],[f304,f3513]) ).
fof(f3515,plain,
( h12(e12) != e23
| spl0_391 ),
inference(forward_demodulation,[status(thm)],[f255,f3514]) ).
fof(f3516,plain,
( e23 != e23
| spl0_391 ),
inference(forward_demodulation,[status(thm)],[f304,f3515]) ).
fof(f3517,plain,
( $false
| spl0_391 ),
inference(trivial_equality_resolution,[status(esa)],[f3516]) ).
fof(f3518,plain,
spl0_391,
inference(contradiction_clause,[status(thm)],[f3517]) ).
fof(f3575,plain,
( h12(e13) != op2(e22,h12(e13))
| spl0_396 ),
inference(forward_demodulation,[status(thm)],[f305,f2533]) ).
fof(f3576,plain,
( h12(e13) != op2(e22,e22)
| spl0_396 ),
inference(forward_demodulation,[status(thm)],[f305,f3575]) ).
fof(f3577,plain,
( h12(e13) != e22
| spl0_396 ),
inference(forward_demodulation,[status(thm)],[f254,f3576]) ).
fof(f3578,plain,
( e22 != e22
| spl0_396 ),
inference(forward_demodulation,[status(thm)],[f305,f3577]) ).
fof(f3579,plain,
( $false
| spl0_396 ),
inference(trivial_equality_resolution,[status(esa)],[f3578]) ).
fof(f3580,plain,
spl0_396,
inference(contradiction_clause,[status(thm)],[f3579]) ).
fof(f3620,plain,
( h12(e10) != op2(e23,h12(e13))
| spl0_392 ),
inference(forward_demodulation,[status(thm)],[f304,f2557]) ).
fof(f3621,plain,
( h12(e10) != op2(e23,e22)
| spl0_392 ),
inference(forward_demodulation,[status(thm)],[f305,f3620]) ).
fof(f3622,plain,
( h12(e10) != h12(e10)
| spl0_392 ),
inference(forward_demodulation,[status(thm)],[f306,f3621]) ).
fof(f3623,plain,
( $false
| spl0_392 ),
inference(trivial_equality_resolution,[status(esa)],[f3622]) ).
fof(f3624,plain,
spl0_392,
inference(contradiction_clause,[status(thm)],[f3623]) ).
fof(f3654,plain,
( h12(e11) != op2(h12(e10),e22)
| spl0_384 ),
inference(forward_demodulation,[status(thm)],[f305,f2569]) ).
fof(f3655,plain,
( h12(e11) != h12(e11)
| spl0_384 ),
inference(forward_demodulation,[status(thm)],[f2874,f3654]) ).
fof(f3656,plain,
( $false
| spl0_384 ),
inference(trivial_equality_resolution,[status(esa)],[f3655]) ).
fof(f3657,plain,
spl0_384,
inference(contradiction_clause,[status(thm)],[f3656]) ).
fof(f3669,plain,
( $false
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f753,f2535]) ).
fof(f3670,plain,
~ spl0_55,
inference(contradiction_clause,[status(thm)],[f3669]) ).
fof(f3671,plain,
( $false
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f740,f2536]) ).
fof(f3672,plain,
~ spl0_51,
inference(contradiction_clause,[status(thm)],[f3671]) ).
fof(f3673,plain,
( e12 = e13
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f776,f251]) ).
fof(f3674,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f3673,f225]) ).
fof(f3675,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f3674]) ).
fof(f3676,plain,
( e10 = e12
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f256,f724]) ).
fof(f3677,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f3676,f221]) ).
fof(f3678,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f3677]) ).
fof(f3693,plain,
( e11 = e12
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f2564,f620]) ).
fof(f3694,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f3693,f223]) ).
fof(f3695,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f3694]) ).
fof(f3706,plain,
( op1(e12,e12) != e12
| ~ spl0_58 ),
inference(paramodulation,[status(thm)],[f763,f141]) ).
fof(f3707,plain,
( e12 != e12
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f250,f3706]) ).
fof(f3708,plain,
( $false
| ~ spl0_58 ),
inference(trivial_equality_resolution,[status(esa)],[f3707]) ).
fof(f3709,plain,
~ spl0_58,
inference(contradiction_clause,[status(thm)],[f3708]) ).
fof(f3719,plain,
( op1(e10,e11) != e12
| ~ spl0_54 ),
inference(paramodulation,[status(thm)],[f750,f132]) ).
fof(f3741,plain,
( e10 = e11
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f256,f721]) ).
fof(f3742,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f3741,f220]) ).
fof(f3743,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f3742]) ).
fof(f3765,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f770,f2558]) ).
fof(f3766,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f3765]) ).
fof(f3771,plain,
( e10 = e11
| ~ spl0_56
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f757,f760]) ).
fof(f3772,plain,
( $false
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f3771,f220]) ).
fof(f3773,plain,
( ~ spl0_56
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f3772]) ).
fof(f3848,plain,
( op1(e11,e10) != e13
| ~ spl0_27 ),
inference(paramodulation,[status(thm)],[f662,f155]) ).
fof(f3891,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f659,f2526]) ).
fof(f3892,plain,
~ spl0_26,
inference(contradiction_clause,[status(thm)],[f3891]) ).
fof(f3893,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f607,f2527]) ).
fof(f3894,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f3893]) ).
fof(f3895,plain,
( e10 = e12
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f248,f581]) ).
fof(f3896,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f3895,f221]) ).
fof(f3897,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f3896]) ).
fof(f3905,plain,
( e10 = e13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f248,f584]) ).
fof(f3906,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f3905,f222]) ).
fof(f3907,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f3906]) ).
fof(f3915,plain,
( e11 = e12
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f708,f250]) ).
fof(f3916,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f3915,f223]) ).
fof(f3917,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f3916]) ).
fof(f3922,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f2570]) ).
fof(f3923,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f3922]) ).
fof(f3925,plain,
( op1(e11,e11) != e11
| ~ spl0_25 ),
inference(paramodulation,[status(thm)],[f656,f157]) ).
fof(f3926,plain,
( e11 != e11
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f249,f3925]) ).
fof(f3927,plain,
( $false
| ~ spl0_25 ),
inference(trivial_equality_resolution,[status(esa)],[f3926]) ).
fof(f3928,plain,
~ spl0_25,
inference(contradiction_clause,[status(thm)],[f3927]) ).
fof(f3933,plain,
( e11 = e13
| ~ spl0_33
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f682,f688]) ).
fof(f3934,plain,
( $false
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f3933,f224]) ).
fof(f3935,plain,
( ~ spl0_33
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f3934]) ).
fof(f3977,plain,
( h12(e11) = op2(e21,e22)
| ~ spl0_121 ),
inference(backward_demodulation,[status(thm)],[f3174,f2874]) ).
fof(f3978,plain,
( h12(e11) = e20
| ~ spl0_88
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f893,f3977]) ).
fof(f3979,plain,
( $false
| spl0_537
| ~ spl0_88
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f3978,f2464]) ).
fof(f3980,plain,
( spl0_537
| ~ spl0_88
| ~ spl0_121 ),
inference(contradiction_clause,[status(thm)],[f3979]) ).
fof(f4129,plain,
( e12 = e13
| ~ spl0_6
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f594,f597]) ).
fof(f4130,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f4129,f225]) ).
fof(f4131,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f4130]) ).
fof(f4135,plain,
( e11 = e13
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f249,f649]) ).
fof(f4136,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f4135,f224]) ).
fof(f4137,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f4136]) ).
fof(f4148,plain,
( e11 = e13
| ~ spl0_37
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f695,f701]) ).
fof(f4149,plain,
( $false
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f4148,f224]) ).
fof(f4150,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f4149]) ).
fof(f4224,plain,
( e23 != e23
| spl0_402 ),
inference(forward_demodulation,[status(thm)],[f304,f1924]) ).
fof(f4225,plain,
( $false
| spl0_402 ),
inference(trivial_equality_resolution,[status(esa)],[f4224]) ).
fof(f4226,plain,
spl0_402,
inference(contradiction_clause,[status(thm)],[f4225]) ).
fof(f4227,plain,
( h12(e11) != op2(h12(e13),e23)
| ~ spl0_57
| spl0_395 ),
inference(forward_demodulation,[status(thm)],[f760,f2859]) ).
fof(f4228,plain,
( h12(e11) != op2(e22,e23)
| ~ spl0_57
| spl0_395 ),
inference(forward_demodulation,[status(thm)],[f305,f4227]) ).
fof(f4245,plain,
( h12(e11) != e20
| ~ spl0_57
| spl0_395 ),
inference(paramodulation,[status(thm)],[f258,f4228]) ).
fof(f4246,plain,
( ~ spl0_537
| ~ spl0_57
| spl0_395 ),
inference(split_clause,[status(thm)],[f4245,f2462,f759,f1899]) ).
fof(f4247,plain,
( h12(e10) != op2(e22,h12(e11))
| ~ spl0_52
| spl0_394 ),
inference(forward_demodulation,[status(thm)],[f744,f2894]) ).
fof(f4248,plain,
( h12(e10) != op2(e22,e20)
| ~ spl0_537
| ~ spl0_52
| spl0_394 ),
inference(forward_demodulation,[status(thm)],[f2463,f4247]) ).
fof(f4249,plain,
( h12(e10) != e21
| ~ spl0_97
| ~ spl0_537
| ~ spl0_52
| spl0_394 ),
inference(forward_demodulation,[status(thm)],[f922,f4248]) ).
fof(f4250,plain,
( e21 != e21
| ~ spl0_121
| ~ spl0_97
| ~ spl0_537
| ~ spl0_52
| spl0_394 ),
inference(forward_demodulation,[status(thm)],[f3174,f4249]) ).
fof(f4251,plain,
( $false
| ~ spl0_121
| ~ spl0_97
| ~ spl0_537
| ~ spl0_52
| spl0_394 ),
inference(trivial_equality_resolution,[status(esa)],[f4250]) ).
fof(f4252,plain,
( ~ spl0_121
| ~ spl0_97
| ~ spl0_537
| ~ spl0_52
| spl0_394 ),
inference(contradiction_clause,[status(thm)],[f4251]) ).
fof(f4257,plain,
( h12(e12) != op2(e22,h12(e10))
| ~ spl0_50
| spl0_393 ),
inference(forward_demodulation,[status(thm)],[f737,f2893]) ).
fof(f4258,plain,
( h12(e12) != op2(e22,e21)
| ~ spl0_121
| ~ spl0_50
| spl0_393 ),
inference(forward_demodulation,[status(thm)],[f3174,f4257]) ).
fof(f4259,plain,
( h12(e12) != e23
| ~ spl0_103
| ~ spl0_121
| ~ spl0_50
| spl0_393 ),
inference(forward_demodulation,[status(thm)],[f941,f4258]) ).
fof(f4260,plain,
( e23 != e23
| ~ spl0_103
| ~ spl0_121
| ~ spl0_50
| spl0_393 ),
inference(forward_demodulation,[status(thm)],[f304,f4259]) ).
fof(f4261,plain,
( $false
| ~ spl0_103
| ~ spl0_121
| ~ spl0_50
| spl0_393 ),
inference(trivial_equality_resolution,[status(esa)],[f4260]) ).
fof(f4262,plain,
( ~ spl0_103
| ~ spl0_121
| ~ spl0_50
| spl0_393 ),
inference(contradiction_clause,[status(thm)],[f4261]) ).
fof(f4268,plain,
( op1(e10,e10) != e10
| ~ spl0_48 ),
inference(paramodulation,[status(thm)],[f731,f126]) ).
fof(f4269,plain,
( e10 != e10
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f248,f4268]) ).
fof(f4270,plain,
( $false
| ~ spl0_48 ),
inference(trivial_equality_resolution,[status(esa)],[f4269]) ).
fof(f4271,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f4270]) ).
fof(f4272,plain,
( h12(e13) != op2(e23,h12(e11))
| ~ spl0_39
| spl0_390 ),
inference(forward_demodulation,[status(thm)],[f701,f2858]) ).
fof(f4273,plain,
( h12(e13) != op2(e23,e20)
| ~ spl0_537
| ~ spl0_39
| spl0_390 ),
inference(forward_demodulation,[status(thm)],[f2463,f4272]) ).
fof(f4274,plain,
( h12(e13) != e22
| ~ spl0_114
| ~ spl0_537
| ~ spl0_39
| spl0_390 ),
inference(forward_demodulation,[status(thm)],[f977,f4273]) ).
fof(f4275,plain,
( e22 != e22
| ~ spl0_114
| ~ spl0_537
| ~ spl0_39
| spl0_390 ),
inference(forward_demodulation,[status(thm)],[f305,f4274]) ).
fof(f4276,plain,
( $false
| ~ spl0_114
| ~ spl0_537
| ~ spl0_39
| spl0_390 ),
inference(trivial_equality_resolution,[status(esa)],[f4275]) ).
fof(f4277,plain,
( ~ spl0_114
| ~ spl0_537
| ~ spl0_39
| spl0_390 ),
inference(contradiction_clause,[status(thm)],[f4276]) ).
fof(f4281,plain,
( e12 != e12
| ~ spl0_6
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f594,f3719]) ).
fof(f4282,plain,
( $false
| ~ spl0_6
| ~ spl0_54 ),
inference(trivial_equality_resolution,[status(esa)],[f4281]) ).
fof(f4283,plain,
( ~ spl0_6
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f4282]) ).
fof(f4284,plain,
( h12(e11) != op2(e23,h12(e10))
| ~ spl0_33
| spl0_389 ),
inference(forward_demodulation,[status(thm)],[f682,f2857]) ).
fof(f4285,plain,
( h12(e11) != op2(e23,e21)
| ~ spl0_121
| ~ spl0_33
| spl0_389 ),
inference(forward_demodulation,[status(thm)],[f3174,f4284]) ).
fof(f4286,plain,
( h12(e11) != e20
| ~ spl0_116
| ~ spl0_121
| ~ spl0_33
| spl0_389 ),
inference(forward_demodulation,[status(thm)],[f984,f4285]) ).
fof(f4287,plain,
( e20 != e20
| ~ spl0_537
| ~ spl0_116
| ~ spl0_121
| ~ spl0_33
| spl0_389 ),
inference(forward_demodulation,[status(thm)],[f2463,f4286]) ).
fof(f4288,plain,
( $false
| ~ spl0_537
| ~ spl0_116
| ~ spl0_121
| ~ spl0_33
| spl0_389 ),
inference(trivial_equality_resolution,[status(esa)],[f4287]) ).
fof(f4289,plain,
( ~ spl0_537
| ~ spl0_116
| ~ spl0_121
| ~ spl0_33
| spl0_389 ),
inference(contradiction_clause,[status(thm)],[f4288]) ).
fof(f4293,plain,
( h12(e12) != op2(h12(e11),e22)
| ~ spl0_30
| spl0_388 ),
inference(forward_demodulation,[status(thm)],[f672,f2892]) ).
fof(f4294,plain,
( h12(e12) != op2(e20,e22)
| ~ spl0_537
| ~ spl0_30
| spl0_388 ),
inference(forward_demodulation,[status(thm)],[f2463,f4293]) ).
fof(f4295,plain,
( h12(e12) != e23
| ~ spl0_75
| ~ spl0_537
| ~ spl0_30
| spl0_388 ),
inference(forward_demodulation,[status(thm)],[f850,f4294]) ).
fof(f4296,plain,
( e23 != e23
| ~ spl0_75
| ~ spl0_537
| ~ spl0_30
| spl0_388 ),
inference(forward_demodulation,[status(thm)],[f304,f4295]) ).
fof(f4297,plain,
( $false
| ~ spl0_75
| ~ spl0_537
| ~ spl0_30
| spl0_388 ),
inference(trivial_equality_resolution,[status(esa)],[f4296]) ).
fof(f4298,plain,
( ~ spl0_75
| ~ spl0_537
| ~ spl0_30
| spl0_388 ),
inference(contradiction_clause,[status(thm)],[f4297]) ).
fof(f4302,plain,
( h12(e10) != op2(h12(e11),e23)
| ~ spl0_24
| spl0_387 ),
inference(forward_demodulation,[status(thm)],[f653,f2856]) ).
fof(f4303,plain,
( h12(e10) != op2(e20,e23)
| ~ spl0_537
| ~ spl0_24
| spl0_387 ),
inference(forward_demodulation,[status(thm)],[f2463,f4302]) ).
fof(f4316,plain,
( h12(e10) != e21
| ~ spl0_537
| ~ spl0_24
| spl0_387 ),
inference(paramodulation,[status(thm)],[f2580,f4303]) ).
fof(f4317,plain,
( ~ spl0_540
| ~ spl0_537
| ~ spl0_24
| spl0_387 ),
inference(split_clause,[status(thm)],[f4316,f2474,f2462,f652,f1875]) ).
fof(f4318,plain,
( h12(e11) != op2(e20,h12(e11))
| ~ spl0_537
| spl0_386 ),
inference(forward_demodulation,[status(thm)],[f2463,f2515]) ).
fof(f4319,plain,
( h12(e11) != op2(e20,e20)
| ~ spl0_537
| spl0_386 ),
inference(forward_demodulation,[status(thm)],[f2463,f4318]) ).
fof(f4320,plain,
( h12(e11) != e20
| ~ spl0_537
| spl0_386 ),
inference(forward_demodulation,[status(thm)],[f252,f4319]) ).
fof(f4321,plain,
( e20 != e20
| ~ spl0_537
| spl0_386 ),
inference(forward_demodulation,[status(thm)],[f2463,f4320]) ).
fof(f4322,plain,
( $false
| ~ spl0_537
| spl0_386 ),
inference(trivial_equality_resolution,[status(esa)],[f4321]) ).
fof(f4323,plain,
( ~ spl0_537
| spl0_386 ),
inference(contradiction_clause,[status(thm)],[f4322]) ).
fof(f4328,plain,
( h12(e13) != op2(h12(e11),h12(e10))
| ~ spl0_19
| spl0_385 ),
inference(forward_demodulation,[status(thm)],[f636,f1871]) ).
fof(f4329,plain,
( h12(e13) != op2(e20,h12(e10))
| ~ spl0_537
| ~ spl0_19
| spl0_385 ),
inference(forward_demodulation,[status(thm)],[f2463,f4328]) ).
fof(f4330,plain,
( h12(e13) != op2(e20,e21)
| ~ spl0_121
| ~ spl0_537
| ~ spl0_19
| spl0_385 ),
inference(forward_demodulation,[status(thm)],[f3174,f4329]) ).
fof(f4331,plain,
( h12(e13) != e22
| ~ spl0_70
| ~ spl0_121
| ~ spl0_537
| ~ spl0_19
| spl0_385 ),
inference(forward_demodulation,[status(thm)],[f834,f4330]) ).
fof(f4332,plain,
( e22 != e22
| ~ spl0_70
| ~ spl0_121
| ~ spl0_537
| ~ spl0_19
| spl0_385 ),
inference(forward_demodulation,[status(thm)],[f305,f4331]) ).
fof(f4333,plain,
( $false
| ~ spl0_70
| ~ spl0_121
| ~ spl0_537
| ~ spl0_19
| spl0_385 ),
inference(trivial_equality_resolution,[status(esa)],[f4332]) ).
fof(f4334,plain,
( ~ spl0_70
| ~ spl0_121
| ~ spl0_537
| ~ spl0_19
| spl0_385 ),
inference(contradiction_clause,[status(thm)],[f4333]) ).
fof(f4339,plain,
( h12(e13) != op2(h12(e10),e23)
| ~ spl0_11
| spl0_383 ),
inference(forward_demodulation,[status(thm)],[f610,f2855]) ).
fof(f4340,plain,
( h12(e13) != op2(e21,e23)
| ~ spl0_121
| ~ spl0_11
| spl0_383 ),
inference(forward_demodulation,[status(thm)],[f3174,f4339]) ).
fof(f4341,plain,
( h12(e13) != e22
| ~ spl0_94
| ~ spl0_121
| ~ spl0_11
| spl0_383 ),
inference(forward_demodulation,[status(thm)],[f912,f4340]) ).
fof(f4342,plain,
( e22 != e22
| ~ spl0_94
| ~ spl0_121
| ~ spl0_11
| spl0_383 ),
inference(forward_demodulation,[status(thm)],[f305,f4341]) ).
fof(f4343,plain,
( $false
| ~ spl0_94
| ~ spl0_121
| ~ spl0_11
| spl0_383 ),
inference(trivial_equality_resolution,[status(esa)],[f4342]) ).
fof(f4344,plain,
( ~ spl0_94
| ~ spl0_121
| ~ spl0_11
| spl0_383 ),
inference(contradiction_clause,[status(thm)],[f4343]) ).
fof(f4348,plain,
( h12(e10) != op2(e21,h12(e10))
| ~ spl0_121
| spl0_381 ),
inference(forward_demodulation,[status(thm)],[f3174,f2510]) ).
fof(f4349,plain,
( h12(e10) != op2(e21,e21)
| ~ spl0_121
| spl0_381 ),
inference(forward_demodulation,[status(thm)],[f3174,f4348]) ).
fof(f4350,plain,
( h12(e10) != e21
| ~ spl0_121
| spl0_381 ),
inference(forward_demodulation,[status(thm)],[f253,f4349]) ).
fof(f4351,plain,
( e21 != e21
| ~ spl0_121
| spl0_381 ),
inference(forward_demodulation,[status(thm)],[f3174,f4350]) ).
fof(f4352,plain,
( $false
| ~ spl0_121
| spl0_381 ),
inference(trivial_equality_resolution,[status(esa)],[f4351]) ).
fof(f4353,plain,
( ~ spl0_121
| spl0_381 ),
inference(contradiction_clause,[status(thm)],[f4352]) ).
fof(f4362,plain,
( e13 != e13
| ~ spl0_19
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f636,f3848]) ).
fof(f4363,plain,
( $false
| ~ spl0_19
| ~ spl0_27 ),
inference(trivial_equality_resolution,[status(esa)],[f4362]) ).
fof(f4364,plain,
( ~ spl0_19
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f4363]) ).
fof(f4365,plain,
( h12(e12) != op2(h12(e10),h12(e11))
| ~ spl0_6
| spl0_382 ),
inference(forward_demodulation,[status(thm)],[f594,f1862]) ).
fof(f4366,plain,
( h12(e12) != op2(e21,h12(e11))
| ~ spl0_121
| ~ spl0_6
| spl0_382 ),
inference(forward_demodulation,[status(thm)],[f3174,f4365]) ).
fof(f4367,plain,
( h12(e12) != op2(e21,e20)
| ~ spl0_537
| ~ spl0_121
| ~ spl0_6
| spl0_382 ),
inference(forward_demodulation,[status(thm)],[f2463,f4366]) ).
fof(f4368,plain,
( h12(e12) != e23
| ~ spl0_83
| ~ spl0_537
| ~ spl0_121
| ~ spl0_6
| spl0_382 ),
inference(forward_demodulation,[status(thm)],[f876,f4367]) ).
fof(f4369,plain,
( e23 != e23
| ~ spl0_83
| ~ spl0_537
| ~ spl0_121
| ~ spl0_6
| spl0_382 ),
inference(forward_demodulation,[status(thm)],[f304,f4368]) ).
fof(f4370,plain,
( $false
| ~ spl0_83
| ~ spl0_537
| ~ spl0_121
| ~ spl0_6
| spl0_382 ),
inference(trivial_equality_resolution,[status(esa)],[f4369]) ).
fof(f4371,plain,
( ~ spl0_83
| ~ spl0_537
| ~ spl0_121
| ~ spl0_6
| spl0_382 ),
inference(contradiction_clause,[status(thm)],[f4370]) ).
fof(f4372,plain,
$false,
inference(sat_refutation,[status(thm)],[f664,f786,f788,f789,f797,f800,f801,f806,f810,f811,f1026,f1027,f1028,f1029,f1030,f1031,f1037,f1040,f1041,f1051,f1925,f2465,f2477,f2505,f2864,f3064,f3069,f3071,f3074,f3077,f3090,f3121,f3176,f3199,f3252,f3256,f3259,f3264,f3270,f3291,f3298,f3379,f3384,f3401,f3412,f3419,f3422,f3431,f3434,f3438,f3452,f3518,f3580,f3624,f3657,f3670,f3672,f3675,f3678,f3695,f3709,f3743,f3766,f3773,f3892,f3894,f3897,f3907,f3917,f3923,f3928,f3935,f3980,f4131,f4137,f4150,f4226,f4246,f4252,f4262,f4271,f4277,f4283,f4289,f4298,f4317,f4323,f4334,f4344,f4353,f4364,f4371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG113+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 23:22:11 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.35 % Drodi V3.6.0
% 2.14/0.64 % Refutation found
% 2.14/0.64 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.14/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.14/0.66 % Elapsed time: 0.324034 seconds
% 2.14/0.66 % CPU time: 2.383284 seconds
% 2.14/0.66 % Total memory used: 64.270 MB
% 2.14/0.66 % Net memory used: 61.910 MB
%------------------------------------------------------------------------------