TSTP Solution File: ALG015+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG015+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:08:56 EDT 2024
% Result : Theorem 2.11s 0.72s
% Output : CNFRefutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 137
% Syntax : Number of formulae : 674 ( 111 unt; 0 def)
% Number of atoms : 3616 (2572 equ)
% Maximal formula atoms : 384 ( 5 avg)
% Number of connectives : 4615 (1673 ~;1643 |;1188 &)
% ( 69 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 64 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 113 ( 111 usr; 112 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op1(unit1,e10) = e10
& op1(e10,unit1) = e10
& op1(unit1,e11) = e11
& op1(e11,unit1) = e11
& op1(unit1,e12) = e12
& op1(e12,unit1) = e12
& op1(unit1,e13) = e13
& op1(e13,unit1) = e13
& ( unit1 = e10
| unit1 = e11
| unit1 = e12
| unit1 = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( op2(unit2,e20) = e20
& op2(e20,unit2) = e20
& op2(unit2,e21) = e21
& op2(e21,unit2) = e21
& op2(unit2,e22) = e22
& op2(e22,unit2) = e22
& op2(unit2,e23) = e23
& op2(e23,unit2) = e23
& ( unit2 = e20
| unit2 = e21
| unit2 = e22
| unit2 = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,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(f18,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(f19,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
( h1(e12) = e20
& h1(e13) = e21
& h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
( h2(e12) = e20
& h2(e13) = e22
& h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
( h3(e12) = e20
& h3(e13) = e23
& h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
( h4(e12) = e21
& h4(e13) = e20
& h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
( h5(e12) = e21
& h5(e13) = e22
& h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
( h6(e12) = e21
& h6(e13) = e23
& h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
( h7(e12) = e22
& h7(e13) = e20
& h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
( h8(e12) = e22
& h8(e13) = e21
& h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
( h9(e12) = e22
& h9(e13) = e23
& h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
( h10(e12) = e23
& h10(e13) = e20
& h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
( h11(e12) = e23
& h11(e13) = e21
& h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
( h12(e12) = e23
& h12(e13) = e22
& h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,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(f39,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)],[f38]) ).
fof(f77,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f79,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f93,plain,
op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f98,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f99,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f100,plain,
op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f103,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f117,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f119,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f120,plain,
op1(unit1,e10) = e10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f124,plain,
op1(unit1,e12) = e12,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f125,plain,
op1(e12,unit1) = e12,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f126,plain,
op1(unit1,e13) = e13,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f127,plain,
op1(e13,unit1) = e13,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f128,plain,
( unit1 = e10
| unit1 = e11
| unit1 = e12
| unit1 = e13 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f155,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f168,plain,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f176,plain,
op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f178,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f180,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f194,plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f199,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f200,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f204,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f220,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f221,plain,
op2(unit2,e20) = e20,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f224,plain,
op2(e21,unit2) = e21,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f225,plain,
op2(unit2,e22) = e22,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f226,plain,
op2(e22,unit2) = e22,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f227,plain,
op2(unit2,e23) = e23,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f228,plain,
op2(e23,unit2) = e23,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f229,plain,
( unit2 = e20
| unit2 = e21
| unit2 = e22
| unit2 = e23 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f298,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f360,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f363,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f383,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f389,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f394,plain,
e10 != e11,
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f395,plain,
e10 != e12,
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f396,plain,
e10 != e13,
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f400,plain,
e20 != e21,
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f401,plain,
e20 != e22,
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f402,plain,
e20 != e23,
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f403,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f422,plain,
( pd0_0
=> ( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 ) ) ),
introduced(predicate_definition,[f22]) ).
fof(f423,plain,
( pd0_0
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(formula_renaming,[status(thm)],[f22,f422]) ).
fof(f427,plain,
( pd0_0
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f423]) ).
fof(f428,plain,
( pd0_1
=> ( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 ) ) ),
introduced(predicate_definition,[f23]) ).
fof(f429,plain,
( pd0_1
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(formula_renaming,[status(thm)],[f23,f428]) ).
fof(f433,plain,
( pd0_1
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f429]) ).
fof(f434,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f435,plain,
e11 = op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f436,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f437,plain,
e21 = op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f440,plain,
h1(e10) = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f441,plain,
h1(e11) = op2(e20,e21),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f444,plain,
h2(e10) = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f445,plain,
h2(e11) = op2(e20,e22),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f447,plain,
h3(e13) = e23,
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f449,plain,
h3(e11) = op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f452,plain,
h4(e10) = op2(e20,e20),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f453,plain,
h4(e11) = op2(e21,e20),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f457,plain,
h5(e11) = op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f459,plain,
h6(e13) = e23,
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f461,plain,
h6(e11) = op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f462,plain,
h7(e12) = e22,
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f463,plain,
h7(e13) = e20,
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f465,plain,
h7(e11) = op2(e22,e20),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f466,plain,
h8(e12) = e22,
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f467,plain,
h8(e13) = e21,
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f469,plain,
h8(e11) = op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f470,plain,
h9(e12) = e22,
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f471,plain,
h9(e13) = e23,
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f472,plain,
h9(e10) = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f473,plain,
h9(e11) = op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f474,plain,
h10(e12) = e23,
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f475,plain,
h10(e13) = e20,
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f477,plain,
h10(e11) = op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f481,plain,
h11(e11) = op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f485,plain,
h12(e11) = op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f486,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)],[f39]) ).
fof(f487,plain,
( pd0_2
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f486]) ).
fof(f488,plain,
( pd0_3
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f486]) ).
fof(f489,plain,
( pd0_4
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f486]) ).
fof(f490,plain,
( pd0_5
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f486]) ).
fof(f491,plain,
( pd0_6
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f486]) ).
fof(f492,plain,
( pd0_7
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f486]) ).
fof(f493,plain,
( pd0_8
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f486]) ).
fof(f494,plain,
( pd0_9
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f486]) ).
fof(f495,plain,
( pd0_10
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f486]) ).
fof(f496,plain,
( pd0_11
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f486]) ).
fof(f497,plain,
( pd0_12
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f486]) ).
fof(f498,plain,
( pd0_13
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f486]) ).
fof(f499,plain,
( pd0_14
=> ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 ) ),
introduced(predicate_definition,[f486]) ).
fof(f500,plain,
( pd0_15
=> ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 ) ),
introduced(predicate_definition,[f486]) ).
fof(f501,plain,
( pd0_16
=> ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 ) ),
introduced(predicate_definition,[f486]) ).
fof(f502,plain,
( pd0_17
=> ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 ) ),
introduced(predicate_definition,[f486]) ).
fof(f503,plain,
( pd0_18
=> ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 ) ),
introduced(predicate_definition,[f486]) ).
fof(f504,plain,
( pd0_19
=> ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) ),
introduced(predicate_definition,[f486]) ).
fof(f505,plain,
( pd0_20
=> ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 ) ),
introduced(predicate_definition,[f486]) ).
fof(f506,plain,
( pd0_21
=> ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 ) ),
introduced(predicate_definition,[f486]) ).
fof(f507,plain,
( pd0_22
=> ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 ) ),
introduced(predicate_definition,[f486]) ).
fof(f508,plain,
( pd0_23
=> ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 ) ),
introduced(predicate_definition,[f486]) ).
fof(f509,plain,
( pd0_24
=> ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 ) ),
introduced(predicate_definition,[f486]) ).
fof(f510,plain,
( pd0_25
=> ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 ) ),
introduced(predicate_definition,[f486]) ).
fof(f511,plain,
( pd0_26
=> ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 ) ),
introduced(predicate_definition,[f486]) ).
fof(f512,plain,
( pd0_27
=> ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ),
introduced(predicate_definition,[f486]) ).
fof(f513,plain,
( pd0_28
=> ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 ) ),
introduced(predicate_definition,[f486]) ).
fof(f514,plain,
( pd0_29
=> ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 ) ),
introduced(predicate_definition,[f486]) ).
fof(f515,plain,
( pd0_30
=> ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 ) ),
introduced(predicate_definition,[f486]) ).
fof(f516,plain,
( pd0_31
=> ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) ),
introduced(predicate_definition,[f486]) ).
fof(f517,plain,
( pd0_32
=> ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 ) ),
introduced(predicate_definition,[f486]) ).
fof(f518,plain,
( pd0_33
=> ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 ) ),
introduced(predicate_definition,[f486]) ).
fof(f519,plain,
( pd0_34
=> ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) ),
introduced(predicate_definition,[f486]) ).
fof(f520,plain,
( pd0_35
=> ( h12(e10) != e20
& h12(e11) != e20
& h12(e12) != e20
& h12(e13) != e20 ) ),
introduced(predicate_definition,[f486]) ).
fof(f521,plain,
( pd0_36
=> ( h12(e10) != e21
& h12(e11) != e21
& h12(e12) != e21
& h12(e13) != e21 ) ),
introduced(predicate_definition,[f486]) ).
fof(f522,plain,
( pd0_37
=> ( h12(e10) != e22
& h12(e11) != e22
& h12(e12) != e22
& h12(e13) != e22 ) ),
introduced(predicate_definition,[f486]) ).
fof(f523,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_2
| pd0_3
| pd0_4
| ( 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_5
| pd0_6
| pd0_7
| ( 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_8
| pd0_9
| pd0_10
| ( 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_11
| pd0_12
| pd0_13
| ( 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_14
| pd0_15
| pd0_16
| ( 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_17
| pd0_18
| pd0_19
| ( 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_20
| pd0_21
| pd0_22
| ( 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_23
| pd0_24
| pd0_25
| ( 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_26
| pd0_27
| pd0_28
| ( 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_29
| pd0_30
| pd0_31
| ( 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_32
| pd0_33
| pd0_34
| ( 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_35
| pd0_36
| pd0_37
| ( h12(e10) != e23
& h12(e11) != e23
& h12(e12) != e23
& h12(e13) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f486,f522,f521,f520,f519,f518,f517,f516,f515,f514,f513,f512,f511,f510,f509,f508,f507,f506,f505,f504,f503,f502,f501,f500,f499,f498,f497,f496,f495,f494,f493,f492,f491,f490,f489,f488,f487]) ).
fof(f559,plain,
( 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_26
| pd0_27
| pd0_28
| h9(e13) != e23 ),
inference(cnf_transformation,[status(esa)],[f523]) ).
fof(f572,plain,
( ~ pd0_0
| ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 ) ),
inference(pre_NNF_transformation,[status(esa)],[f422]) ).
fof(f573,plain,
( pd0_38
=> ( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 ) ) ),
introduced(predicate_definition,[f572]) ).
fof(f574,plain,
( ~ pd0_0
| pd0_38
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 ) ),
inference(formula_renaming,[status(thm)],[f572,f573]) ).
fof(f578,plain,
( ~ pd0_0
| pd0_38
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f574]) ).
fof(f579,plain,
( ~ pd0_1
| ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f428]) ).
fof(f580,plain,
( pd0_39
=> ( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 ) ) ),
introduced(predicate_definition,[f579]) ).
fof(f581,plain,
( ~ pd0_1
| pd0_39
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 ) ),
inference(formula_renaming,[status(thm)],[f579,f580]) ).
fof(f585,plain,
( ~ pd0_1
| pd0_39
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f581]) ).
fof(f706,plain,
( ~ pd0_26
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f511]) ).
fof(f707,plain,
( ~ pd0_26
| h9(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f706]) ).
fof(f711,plain,
( ~ pd0_27
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f512]) ).
fof(f713,plain,
( ~ pd0_27
| h9(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f711]) ).
fof(f716,plain,
( ~ pd0_28
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f513]) ).
fof(f719,plain,
( ~ pd0_28
| h9(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f716]) ).
fof(f766,plain,
( ~ pd0_38
| ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 ) ),
inference(pre_NNF_transformation,[status(esa)],[f573]) ).
fof(f767,plain,
( pd0_40
=> ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
introduced(predicate_definition,[f766]) ).
fof(f768,plain,
( ~ pd0_38
| pd0_40
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 ) ),
inference(formula_renaming,[status(thm)],[f766,f767]) ).
fof(f772,plain,
( ~ pd0_38
| pd0_40
| op1(e13,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f768]) ).
fof(f773,plain,
( ~ pd0_39
| ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f580]) ).
fof(f774,plain,
( pd0_41
=> ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 ) ),
introduced(predicate_definition,[f773]) ).
fof(f775,plain,
( ~ pd0_39
| pd0_41
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 ) ),
inference(formula_renaming,[status(thm)],[f773,f774]) ).
fof(f779,plain,
( ~ pd0_39
| pd0_41
| op2(e23,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f775]) ).
fof(f780,plain,
( ~ pd0_40
| ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
inference(pre_NNF_transformation,[status(esa)],[f767]) ).
fof(f781,plain,
( ~ pd0_40
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f780]) ).
fof(f782,plain,
( ~ pd0_40
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[status(esa)],[f780]) ).
fof(f783,plain,
( ~ pd0_40
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[status(esa)],[f780]) ).
fof(f785,plain,
( ~ pd0_41
| ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f774]) ).
fof(f786,plain,
( ~ pd0_41
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f785]) ).
fof(f787,plain,
( ~ pd0_41
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f785]) ).
fof(f788,plain,
( ~ pd0_41
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[status(esa)],[f785]) ).
fof(f790,plain,
( spl0_0
<=> op1(e10,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f791,plain,
( op1(e10,e10) = e10
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f842,plain,
( spl0_16
<=> op1(e11,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f845,plain,
( spl0_17
<=> op1(e11,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f846,plain,
( op1(e11,e10) = e11
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f855,plain,
( spl0_20
<=> op1(e11,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f856,plain,
( op1(e11,e11) = e10
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f877,plain,
( spl0_27
<=> op1(e11,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f878,plain,
( op1(e11,e12) = e13
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f920,plain,
( spl0_40
<=> op1(e12,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f921,plain,
( op1(e12,e12) = e10
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f926,plain,
( spl0_42
<=> op1(e12,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f927,plain,
( op1(e12,e12) = e12
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f955,plain,
( spl0_51
<=> op1(e13,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f956,plain,
( op1(e13,e10) = e13
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f955]) ).
fof(f975,plain,
( spl0_57
<=> op1(e13,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f976,plain,
( op1(e13,e12) = e11
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f975]) ).
fof(f988,plain,
( spl0_61
<=> op1(e13,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f989,plain,
( op1(e13,e13) = e11
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f988]) ).
fof(f991,plain,
( spl0_62
<=> op1(e13,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f992,plain,
( op1(e13,e13) = e12
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f991]) ).
fof(f994,plain,
( spl0_63
<=> op1(e13,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f995,plain,
( op1(e13,e13) = e13
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f994]) ).
fof(f998,plain,
( spl0_64
<=> unit1 = e10 ),
introduced(split_symbol_definition) ).
fof(f999,plain,
( unit1 = e10
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f998]) ).
fof(f1001,plain,
( spl0_65
<=> unit1 = e11 ),
introduced(split_symbol_definition) ).
fof(f1002,plain,
( unit1 = e11
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f1001]) ).
fof(f1004,plain,
( spl0_66
<=> unit1 = e12 ),
introduced(split_symbol_definition) ).
fof(f1005,plain,
( unit1 = e12
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f1004]) ).
fof(f1007,plain,
( spl0_67
<=> unit1 = e13 ),
introduced(split_symbol_definition) ).
fof(f1008,plain,
( unit1 = e13
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1010,plain,
( spl0_64
| spl0_65
| spl0_66
| spl0_67 ),
inference(split_clause,[status(thm)],[f128,f998,f1001,f1004,f1007]) ).
fof(f1063,plain,
( spl0_84
<=> op2(e20,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f1064,plain,
( op2(e20,e20) = e20
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1095,plain,
( spl0_94
<=> op2(e20,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1096,plain,
( op2(e20,e22) = e22
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1128,plain,
( spl0_104
<=> op2(e21,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f1129,plain,
( op2(e21,e21) = e20
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f1128]) ).
fof(f1150,plain,
( spl0_111
<=> op2(e21,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f1151,plain,
( op2(e21,e22) = e23
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1167,plain,
( spl0_116
<=> op2(e22,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f1168,plain,
( op2(e22,e20) = e20
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1193,plain,
( spl0_124
<=> op2(e22,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1194,plain,
( op2(e22,e22) = e20
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f1193]) ).
fof(f1228,plain,
( spl0_135
<=> op2(e23,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f1229,plain,
( op2(e23,e20) = e23
| ~ spl0_135 ),
inference(component_clause,[status(thm)],[f1228]) ).
fof(f1245,plain,
( spl0_140
<=> op2(e23,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1246,plain,
( op2(e23,e22) = e20
| ~ spl0_140 ),
inference(component_clause,[status(thm)],[f1245]) ).
fof(f1248,plain,
( spl0_141
<=> op2(e23,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f1251,plain,
( spl0_142
<=> op2(e23,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1252,plain,
( op2(e23,e22) = e22
| ~ spl0_142 ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1254,plain,
( spl0_143
<=> op2(e23,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f1257,plain,
( spl0_140
| spl0_141
| spl0_142
| spl0_143 ),
inference(split_clause,[status(thm)],[f155,f1245,f1248,f1251,f1254]) ).
fof(f1261,plain,
( spl0_145
<=> op2(e23,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1262,plain,
( op2(e23,e23) = e21
| ~ spl0_145 ),
inference(component_clause,[status(thm)],[f1261]) ).
fof(f1264,plain,
( spl0_146
<=> op2(e23,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1265,plain,
( op2(e23,e23) = e22
| ~ spl0_146 ),
inference(component_clause,[status(thm)],[f1264]) ).
fof(f1267,plain,
( spl0_147
<=> op2(e23,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1268,plain,
( op2(e23,e23) = e23
| ~ spl0_147 ),
inference(component_clause,[status(thm)],[f1267]) ).
fof(f1271,plain,
( spl0_148
<=> unit2 = e20 ),
introduced(split_symbol_definition) ).
fof(f1272,plain,
( unit2 = e20
| ~ spl0_148 ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1274,plain,
( spl0_149
<=> unit2 = e21 ),
introduced(split_symbol_definition) ).
fof(f1275,plain,
( unit2 = e21
| ~ spl0_149 ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1277,plain,
( spl0_150
<=> unit2 = e22 ),
introduced(split_symbol_definition) ).
fof(f1278,plain,
( unit2 = e22
| ~ spl0_150 ),
inference(component_clause,[status(thm)],[f1277]) ).
fof(f1280,plain,
( spl0_151
<=> unit2 = e23 ),
introduced(split_symbol_definition) ).
fof(f1281,plain,
( unit2 = e23
| ~ spl0_151 ),
inference(component_clause,[status(thm)],[f1280]) ).
fof(f1283,plain,
( spl0_148
| spl0_149
| spl0_150
| spl0_151 ),
inference(split_clause,[status(thm)],[f229,f1271,f1274,f1277,f1280]) ).
fof(f1368,plain,
( spl0_168
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f1374,plain,
( spl0_168
| spl0_63 ),
inference(split_clause,[status(thm)],[f427,f1368,f994]) ).
fof(f1375,plain,
( spl0_169
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f1381,plain,
( spl0_169
| spl0_147 ),
inference(split_clause,[status(thm)],[f433,f1375,f1267]) ).
fof(f1597,plain,
( spl0_238
<=> h3(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1599,plain,
( h3(e13) != e23
| spl0_238 ),
inference(component_clause,[status(thm)],[f1597]) ).
fof(f1816,plain,
( spl0_307
<=> h6(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1818,plain,
( h6(e13) != e23
| spl0_307 ),
inference(component_clause,[status(thm)],[f1816]) ).
fof(f1853,plain,
( spl0_319
<=> h7(op1(e12,e13)) = op2(h7(e12),h7(e13)) ),
introduced(split_symbol_definition) ).
fof(f1854,plain,
( h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
| ~ spl0_319 ),
inference(component_clause,[status(thm)],[f1853]) ).
fof(f1855,plain,
( h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| spl0_319 ),
inference(component_clause,[status(thm)],[f1853]) ).
fof(f1926,plain,
( spl0_342
<=> h8(op1(e12,e13)) = op2(h8(e12),h8(e13)) ),
introduced(split_symbol_definition) ).
fof(f1927,plain,
( h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
| ~ spl0_342 ),
inference(component_clause,[status(thm)],[f1926]) ).
fof(f1928,plain,
( h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| spl0_342 ),
inference(component_clause,[status(thm)],[f1926]) ).
fof(f1966,plain,
( spl0_354
<=> h9(op1(e10,e10)) = op2(h9(e10),h9(e10)) ),
introduced(split_symbol_definition) ).
fof(f1968,plain,
( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| spl0_354 ),
inference(component_clause,[status(thm)],[f1966]) ).
fof(f1969,plain,
( spl0_355
<=> h9(op1(e10,e11)) = op2(h9(e10),h9(e11)) ),
introduced(split_symbol_definition) ).
fof(f1971,plain,
( h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| spl0_355 ),
inference(component_clause,[status(thm)],[f1969]) ).
fof(f1972,plain,
( spl0_356
<=> h9(op1(e10,e12)) = op2(h9(e10),h9(e12)) ),
introduced(split_symbol_definition) ).
fof(f1974,plain,
( h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| spl0_356 ),
inference(component_clause,[status(thm)],[f1972]) ).
fof(f1975,plain,
( spl0_357
<=> h9(op1(e10,e13)) = op2(h9(e10),h9(e13)) ),
introduced(split_symbol_definition) ).
fof(f1977,plain,
( h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| spl0_357 ),
inference(component_clause,[status(thm)],[f1975]) ).
fof(f1978,plain,
( spl0_358
<=> h9(op1(e11,e10)) = op2(h9(e11),h9(e10)) ),
introduced(split_symbol_definition) ).
fof(f1980,plain,
( h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| spl0_358 ),
inference(component_clause,[status(thm)],[f1978]) ).
fof(f1981,plain,
( spl0_359
<=> h9(op1(e11,e11)) = op2(h9(e11),h9(e11)) ),
introduced(split_symbol_definition) ).
fof(f1983,plain,
( h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| spl0_359 ),
inference(component_clause,[status(thm)],[f1981]) ).
fof(f1984,plain,
( spl0_360
<=> h9(op1(e11,e12)) = op2(h9(e11),h9(e12)) ),
introduced(split_symbol_definition) ).
fof(f1986,plain,
( h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| spl0_360 ),
inference(component_clause,[status(thm)],[f1984]) ).
fof(f1987,plain,
( spl0_361
<=> h9(op1(e11,e13)) = op2(h9(e11),h9(e13)) ),
introduced(split_symbol_definition) ).
fof(f1989,plain,
( h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| spl0_361 ),
inference(component_clause,[status(thm)],[f1987]) ).
fof(f1990,plain,
( spl0_362
<=> h9(op1(e12,e10)) = op2(h9(e12),h9(e10)) ),
introduced(split_symbol_definition) ).
fof(f1992,plain,
( h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| spl0_362 ),
inference(component_clause,[status(thm)],[f1990]) ).
fof(f1993,plain,
( spl0_363
<=> h9(op1(e12,e11)) = op2(h9(e12),h9(e11)) ),
introduced(split_symbol_definition) ).
fof(f1995,plain,
( h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| spl0_363 ),
inference(component_clause,[status(thm)],[f1993]) ).
fof(f1996,plain,
( spl0_364
<=> h9(op1(e12,e12)) = op2(h9(e12),h9(e12)) ),
introduced(split_symbol_definition) ).
fof(f1998,plain,
( h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| spl0_364 ),
inference(component_clause,[status(thm)],[f1996]) ).
fof(f1999,plain,
( spl0_365
<=> h9(op1(e12,e13)) = op2(h9(e12),h9(e13)) ),
introduced(split_symbol_definition) ).
fof(f2001,plain,
( h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| spl0_365 ),
inference(component_clause,[status(thm)],[f1999]) ).
fof(f2002,plain,
( spl0_366
<=> h9(op1(e13,e10)) = op2(h9(e13),h9(e10)) ),
introduced(split_symbol_definition) ).
fof(f2004,plain,
( h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| spl0_366 ),
inference(component_clause,[status(thm)],[f2002]) ).
fof(f2005,plain,
( spl0_367
<=> h9(op1(e13,e11)) = op2(h9(e13),h9(e11)) ),
introduced(split_symbol_definition) ).
fof(f2007,plain,
( h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| spl0_367 ),
inference(component_clause,[status(thm)],[f2005]) ).
fof(f2008,plain,
( spl0_368
<=> h9(op1(e13,e12)) = op2(h9(e13),h9(e12)) ),
introduced(split_symbol_definition) ).
fof(f2010,plain,
( h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| spl0_368 ),
inference(component_clause,[status(thm)],[f2008]) ).
fof(f2011,plain,
( spl0_369
<=> h9(op1(e13,e13)) = op2(h9(e13),h9(e13)) ),
introduced(split_symbol_definition) ).
fof(f2013,plain,
( h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| spl0_369 ),
inference(component_clause,[status(thm)],[f2011]) ).
fof(f2014,plain,
( spl0_370
<=> pd0_26 ),
introduced(split_symbol_definition) ).
fof(f2017,plain,
( spl0_371
<=> pd0_27 ),
introduced(split_symbol_definition) ).
fof(f2020,plain,
( spl0_372
<=> pd0_28 ),
introduced(split_symbol_definition) ).
fof(f2035,plain,
( spl0_376
<=> h9(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f2037,plain,
( h9(e13) != e23
| spl0_376 ),
inference(component_clause,[status(thm)],[f2035]) ).
fof(f2038,plain,
( ~ spl0_354
| ~ spl0_355
| ~ spl0_356
| ~ spl0_357
| ~ spl0_358
| ~ spl0_359
| ~ spl0_360
| ~ spl0_361
| ~ spl0_362
| ~ spl0_363
| ~ spl0_364
| ~ spl0_365
| ~ spl0_366
| ~ spl0_367
| ~ spl0_368
| ~ spl0_369
| spl0_370
| spl0_371
| spl0_372
| ~ spl0_376 ),
inference(split_clause,[status(thm)],[f559,f1966,f1969,f1972,f1975,f1978,f1981,f1984,f1987,f1990,f1993,f1996,f1999,f2002,f2005,f2008,f2011,f2014,f2017,f2020,f2035]) ).
fof(f2072,plain,
( spl0_388
<=> h10(op1(e12,e13)) = op2(h10(e12),h10(e13)) ),
introduced(split_symbol_definition) ).
fof(f2073,plain,
( h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
| ~ spl0_388 ),
inference(component_clause,[status(thm)],[f2072]) ).
fof(f2074,plain,
( h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| spl0_388 ),
inference(component_clause,[status(thm)],[f2072]) ).
fof(f2258,plain,
( spl0_446
<=> pd0_38 ),
introduced(split_symbol_definition) ).
fof(f2264,plain,
( ~ spl0_168
| spl0_446
| spl0_62 ),
inference(split_clause,[status(thm)],[f578,f1368,f2258,f991]) ).
fof(f2265,plain,
( spl0_447
<=> pd0_39 ),
introduced(split_symbol_definition) ).
fof(f2271,plain,
( ~ spl0_169
| spl0_447
| spl0_146 ),
inference(split_clause,[status(thm)],[f585,f1375,f2265,f1264]) ).
fof(f2596,plain,
( spl0_529
<=> h7(e11) = e22 ),
introduced(split_symbol_definition) ).
fof(f2597,plain,
( h7(e11) = e22
| ~ spl0_529 ),
inference(component_clause,[status(thm)],[f2596]) ).
fof(f2598,plain,
( h7(e11) != e22
| spl0_529 ),
inference(component_clause,[status(thm)],[f2596]) ).
fof(f2656,plain,
( spl0_544
<=> h9(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f2658,plain,
( h9(e10) != e20
| spl0_544 ),
inference(component_clause,[status(thm)],[f2656]) ).
fof(f2659,plain,
( ~ spl0_370
| ~ spl0_544 ),
inference(split_clause,[status(thm)],[f707,f2014,f2656]) ).
fof(f2676,plain,
( spl0_549
<=> h9(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f2678,plain,
( h9(e11) != e21
| spl0_549 ),
inference(component_clause,[status(thm)],[f2676]) ).
fof(f2679,plain,
( ~ spl0_371
| ~ spl0_549 ),
inference(split_clause,[status(thm)],[f713,f2017,f2676]) ).
fof(f2696,plain,
( spl0_554
<=> h9(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f2698,plain,
( h9(e12) != e22
| spl0_554 ),
inference(component_clause,[status(thm)],[f2696]) ).
fof(f2699,plain,
( ~ spl0_372
| ~ spl0_554 ),
inference(split_clause,[status(thm)],[f719,f2020,f2696]) ).
fof(f2848,plain,
( spl0_592
<=> pd0_40 ),
introduced(split_symbol_definition) ).
fof(f2854,plain,
( ~ spl0_446
| spl0_592
| spl0_61 ),
inference(split_clause,[status(thm)],[f772,f2258,f2848,f988]) ).
fof(f2855,plain,
( spl0_593
<=> pd0_41 ),
introduced(split_symbol_definition) ).
fof(f2861,plain,
( ~ spl0_447
| spl0_593
| spl0_145 ),
inference(split_clause,[status(thm)],[f779,f2265,f2855,f1261]) ).
fof(f2862,plain,
( ~ spl0_592
| spl0_0 ),
inference(split_clause,[status(thm)],[f781,f2848,f790]) ).
fof(f2863,plain,
( ~ spl0_592
| spl0_20 ),
inference(split_clause,[status(thm)],[f782,f2848,f855]) ).
fof(f2864,plain,
( ~ spl0_592
| spl0_40 ),
inference(split_clause,[status(thm)],[f783,f2848,f920]) ).
fof(f2866,plain,
( ~ spl0_593
| spl0_84 ),
inference(split_clause,[status(thm)],[f786,f2855,f1063]) ).
fof(f2867,plain,
( ~ spl0_593
| spl0_104 ),
inference(split_clause,[status(thm)],[f787,f2855,f1128]) ).
fof(f2868,plain,
( ~ spl0_593
| spl0_124 ),
inference(split_clause,[status(thm)],[f788,f2855,f1193]) ).
fof(f2880,plain,
( h9(e10) != op2(h9(e13),h9(e13))
| spl0_369 ),
inference(backward_demodulation,[status(thm)],[f434,f2013]) ).
fof(f2885,plain,
( h7(e11) != op2(h7(e12),h7(e13))
| spl0_319 ),
inference(backward_demodulation,[status(thm)],[f435,f1855]) ).
fof(f2886,plain,
( h8(e11) != op2(h8(e12),h8(e13))
| spl0_342 ),
inference(backward_demodulation,[status(thm)],[f435,f1928]) ).
fof(f2887,plain,
( h9(e11) != op2(h9(e12),h9(e13))
| spl0_365 ),
inference(backward_demodulation,[status(thm)],[f435,f2001]) ).
fof(f2894,plain,
( h10(e11) != op2(h10(e12),h10(e13))
| spl0_388 ),
inference(backward_demodulation,[status(thm)],[f435,f2074]) ).
fof(f2920,plain,
op2(e22,e20) != h2(e10),
inference(backward_demodulation,[status(thm)],[f444,f383]) ).
fof(f2921,plain,
h2(e10) != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f444,f363]) ).
fof(f2926,plain,
h2(e11) != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f445,f360]) ).
fof(f2982,plain,
( h9(op1(e10,e12)) != op2(h9(e10),e22)
| spl0_356 ),
inference(backward_demodulation,[status(thm)],[f470,f1974]) ).
fof(f2983,plain,
( h9(op1(e11,e12)) != op2(h9(e11),e22)
| spl0_360 ),
inference(backward_demodulation,[status(thm)],[f470,f1986]) ).
fof(f2984,plain,
( h9(op1(e12,e10)) != op2(e22,h9(e10))
| spl0_362 ),
inference(backward_demodulation,[status(thm)],[f470,f1992]) ).
fof(f2985,plain,
( h9(op1(e12,e11)) != op2(e22,h9(e11))
| spl0_363 ),
inference(backward_demodulation,[status(thm)],[f470,f1995]) ).
fof(f2986,plain,
( h9(op1(e12,e12)) != op2(h9(e12),e22)
| spl0_364 ),
inference(backward_demodulation,[status(thm)],[f470,f1998]) ).
fof(f2987,plain,
( h9(op1(e12,e12)) != op2(e22,e22)
| spl0_364 ),
inference(forward_demodulation,[status(thm)],[f470,f2986]) ).
fof(f2988,plain,
( h9(op1(e12,e12)) != h2(e10)
| spl0_364 ),
inference(forward_demodulation,[status(thm)],[f444,f2987]) ).
fof(f2989,plain,
( h9(op1(e13,e12)) != op2(h9(e13),e22)
| spl0_368 ),
inference(backward_demodulation,[status(thm)],[f470,f2010]) ).
fof(f2990,plain,
( h9(op1(e10,e13)) != op2(h9(e10),e23)
| spl0_357 ),
inference(backward_demodulation,[status(thm)],[f471,f1977]) ).
fof(f2991,plain,
( h9(op1(e11,e13)) != op2(h9(e11),e23)
| spl0_361 ),
inference(backward_demodulation,[status(thm)],[f471,f1989]) ).
fof(f2992,plain,
( h9(op1(e13,e10)) != op2(e23,h9(e10))
| spl0_366 ),
inference(backward_demodulation,[status(thm)],[f471,f2004]) ).
fof(f2993,plain,
( h9(op1(e13,e11)) != op2(e23,h9(e11))
| spl0_367 ),
inference(backward_demodulation,[status(thm)],[f471,f2007]) ).
fof(f2994,plain,
h9(e10) = e20,
inference(forward_demodulation,[status(thm)],[f436,f472]) ).
fof(f2995,plain,
( h9(op1(e10,e10)) != op2(h9(e10),e20)
| spl0_354 ),
inference(backward_demodulation,[status(thm)],[f2994,f1968]) ).
fof(f2996,plain,
( h9(op1(e10,e10)) != op2(e20,e20)
| spl0_354 ),
inference(forward_demodulation,[status(thm)],[f2994,f2995]) ).
fof(f2997,plain,
( h9(op1(e10,e10)) != h4(e10)
| spl0_354 ),
inference(forward_demodulation,[status(thm)],[f452,f2996]) ).
fof(f2998,plain,
( h9(op1(e10,e11)) != op2(e20,h9(e11))
| spl0_355 ),
inference(backward_demodulation,[status(thm)],[f2994,f1971]) ).
fof(f2999,plain,
( h9(op1(e11,e10)) != op2(h9(e11),e20)
| spl0_358 ),
inference(backward_demodulation,[status(thm)],[f2994,f1980]) ).
fof(f3000,plain,
h9(e11) = e21,
inference(forward_demodulation,[status(thm)],[f437,f473]) ).
fof(f3001,plain,
( h9(op1(e11,e11)) != op2(h9(e11),e21)
| spl0_359 ),
inference(backward_demodulation,[status(thm)],[f3000,f1983]) ).
fof(f3002,plain,
( h9(op1(e11,e11)) != op2(e21,e21)
| spl0_359 ),
inference(forward_demodulation,[status(thm)],[f3000,f3001]) ).
fof(f3003,plain,
( h9(op1(e11,e11)) != h1(e10)
| spl0_359 ),
inference(forward_demodulation,[status(thm)],[f440,f3002]) ).
fof(f3021,plain,
h10(e11) != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f477,f389]) ).
fof(f3290,plain,
( h2(e10) = e20
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f444,f1194]) ).
fof(f3319,plain,
( e20 = op2(e22,e22)
| ~ spl0_124 ),
inference(backward_demodulation,[status(thm)],[f3290,f444]) ).
fof(f3320,plain,
( h1(e10) = e20
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f440,f1129]) ).
fof(f3324,plain,
( h4(e10) = e20
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f452,f1064]) ).
fof(f3346,plain,
op1(op1(e12,e12),e13) = op1(e12,e11),
inference(forward_demodulation,[status(thm)],[f435,f99]) ).
fof(f3347,plain,
op1(e11,e10) = op1(e12,op1(e13,e10)),
inference(forward_demodulation,[status(thm)],[f435,f100]) ).
fof(f3350,plain,
op1(e11,e13) = op1(e12,op1(e13,e13)),
inference(forward_demodulation,[status(thm)],[f435,f103]) ).
fof(f3351,plain,
op1(e11,e13) = op1(e12,e10),
inference(forward_demodulation,[status(thm)],[f434,f3350]) ).
fof(f3369,plain,
( op1(e10,e13) = op1(e12,e11)
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f921,f3346]) ).
fof(f3370,plain,
( op1(op1(e12,e12),e12) = op1(e12,e10)
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f921,f98]) ).
fof(f3371,plain,
( op1(e10,e12) = op1(e12,e10)
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f921,f3370]) ).
fof(f3372,plain,
( op1(e10,e12) = op1(e11,e13)
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f3351,f3371]) ).
fof(f3396,plain,
( op1(op1(e12,e11),e11) = op1(e12,e10)
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f856,f93]) ).
fof(f3397,plain,
( op1(op1(e12,e11),e11) = op1(e11,e13)
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f3351,f3396]) ).
fof(f3398,plain,
( op1(e10,e13) = op1(e11,op1(e11,e13))
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f856,f79]) ).
fof(f3400,plain,
( op1(op1(e11,e11),e11) = op1(e11,e10)
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f856,f77]) ).
fof(f3401,plain,
( op1(e10,e11) = op1(e11,e10)
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f856,f3400]) ).
fof(f3428,plain,
( e20 = e23
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f436,f1268]) ).
fof(f3429,plain,
( $false
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[status(thm)],[f3428,f402]) ).
fof(f3430,plain,
~ spl0_147,
inference(contradiction_clause,[status(thm)],[f3429]) ).
fof(f3445,plain,
( e10 = e13
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f434,f995]) ).
fof(f3446,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f3445,f396]) ).
fof(f3447,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f3446]) ).
fof(f3464,plain,
( e20 = e21
| ~ spl0_145 ),
inference(forward_demodulation,[status(thm)],[f436,f1262]) ).
fof(f3465,plain,
( $false
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[status(thm)],[f3464,f400]) ).
fof(f3466,plain,
~ spl0_145,
inference(contradiction_clause,[status(thm)],[f3465]) ).
fof(f3484,plain,
( e10 = e11
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f434,f989]) ).
fof(f3485,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f3484,f394]) ).
fof(f3486,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f3485]) ).
fof(f3488,plain,
( e20 = e22
| ~ spl0_146 ),
inference(forward_demodulation,[status(thm)],[f436,f1265]) ).
fof(f3489,plain,
( $false
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[status(thm)],[f3488,f401]) ).
fof(f3490,plain,
~ spl0_146,
inference(contradiction_clause,[status(thm)],[f3489]) ).
fof(f3495,plain,
( e10 = e12
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f434,f992]) ).
fof(f3496,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f3495,f395]) ).
fof(f3497,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f3496]) ).
fof(f3514,plain,
( op2(e22,e23) = e22
| ~ spl0_151 ),
inference(backward_demodulation,[status(thm)],[f1281,f226]) ).
fof(f3515,plain,
( e21 = e22
| ~ spl0_151 ),
inference(forward_demodulation,[status(thm)],[f437,f3514]) ).
fof(f3516,plain,
( $false
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[status(thm)],[f3515,f403]) ).
fof(f3517,plain,
~ spl0_151,
inference(contradiction_clause,[status(thm)],[f3516]) ).
fof(f3541,plain,
( h10(e11) = e23
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f477,f1229]) ).
fof(f3545,plain,
( e23 = op2(e23,e20)
| ~ spl0_135 ),
inference(backward_demodulation,[status(thm)],[f3541,f477]) ).
fof(f3605,plain,
( e20 != op2(h9(e13),h9(e13))
| spl0_369 ),
inference(forward_demodulation,[status(thm)],[f2994,f2880]) ).
fof(f3606,plain,
( e20 != op2(e23,h9(e13))
| spl0_369 ),
inference(forward_demodulation,[status(thm)],[f471,f3605]) ).
fof(f3607,plain,
( e20 != op2(e23,e23)
| spl0_369 ),
inference(forward_demodulation,[status(thm)],[f471,f3606]) ).
fof(f3608,plain,
( e20 != e20
| spl0_369 ),
inference(forward_demodulation,[status(thm)],[f436,f3607]) ).
fof(f3609,plain,
( $false
| spl0_369 ),
inference(trivial_equality_resolution,[status(esa)],[f3608]) ).
fof(f3610,plain,
spl0_369,
inference(contradiction_clause,[status(thm)],[f3609]) ).
fof(f3627,plain,
( e21 != op2(h9(e12),h9(e13))
| spl0_365 ),
inference(forward_demodulation,[status(thm)],[f3000,f2887]) ).
fof(f3628,plain,
( e21 != op2(e22,h9(e13))
| spl0_365 ),
inference(forward_demodulation,[status(thm)],[f470,f3627]) ).
fof(f3629,plain,
( e21 != op2(e22,e23)
| spl0_365 ),
inference(forward_demodulation,[status(thm)],[f471,f3628]) ).
fof(f3630,plain,
( e21 != e21
| spl0_365 ),
inference(forward_demodulation,[status(thm)],[f437,f3629]) ).
fof(f3631,plain,
( $false
| spl0_365 ),
inference(trivial_equality_resolution,[status(esa)],[f3630]) ).
fof(f3632,plain,
spl0_365,
inference(contradiction_clause,[status(thm)],[f3631]) ).
fof(f3696,plain,
( h9(op1(e10,e12)) != op2(e20,e22)
| spl0_356 ),
inference(forward_demodulation,[status(thm)],[f2994,f2982]) ).
fof(f3697,plain,
( h9(op1(e10,e12)) != h2(e11)
| spl0_356 ),
inference(forward_demodulation,[status(thm)],[f445,f3696]) ).
fof(f3698,plain,
( h9(op1(e11,e12)) != op2(e21,e22)
| spl0_360 ),
inference(forward_demodulation,[status(thm)],[f3000,f2983]) ).
fof(f3699,plain,
( h9(op1(e11,e12)) != h5(e11)
| spl0_360 ),
inference(forward_demodulation,[status(thm)],[f457,f3698]) ).
fof(f3700,plain,
( h9(op1(e11,e13)) != op2(e22,h9(e10))
| spl0_362 ),
inference(forward_demodulation,[status(thm)],[f3351,f2984]) ).
fof(f3701,plain,
( h9(op1(e11,e13)) != op2(e22,e20)
| spl0_362 ),
inference(forward_demodulation,[status(thm)],[f2994,f3700]) ).
fof(f3703,plain,
( h9(op1(e12,e11)) != op2(e22,e21)
| spl0_363 ),
inference(forward_demodulation,[status(thm)],[f3000,f2985]) ).
fof(f3705,plain,
( h9(op1(e13,e12)) != op2(e23,e22)
| spl0_368 ),
inference(forward_demodulation,[status(thm)],[f471,f2989]) ).
fof(f3707,plain,
( h9(op1(e10,e13)) != op2(e20,e23)
| spl0_357 ),
inference(forward_demodulation,[status(thm)],[f2994,f2990]) ).
fof(f3708,plain,
( h9(op1(e10,e13)) != h3(e11)
| spl0_357 ),
inference(forward_demodulation,[status(thm)],[f449,f3707]) ).
fof(f3709,plain,
( h9(op1(e11,e13)) != op2(e21,e23)
| spl0_361 ),
inference(forward_demodulation,[status(thm)],[f3000,f2991]) ).
fof(f3710,plain,
( h9(op1(e13,e10)) != op2(e23,e20)
| spl0_366 ),
inference(forward_demodulation,[status(thm)],[f2994,f2992]) ).
fof(f3712,plain,
( h9(op1(e13,e11)) != op2(e23,e21)
| spl0_367 ),
inference(forward_demodulation,[status(thm)],[f3000,f2993]) ).
fof(f3714,plain,
( h9(op1(e10,e11)) != op2(e20,e21)
| spl0_355 ),
inference(forward_demodulation,[status(thm)],[f3000,f2998]) ).
fof(f3715,plain,
( h9(op1(e10,e11)) != h1(e11)
| spl0_355 ),
inference(forward_demodulation,[status(thm)],[f441,f3714]) ).
fof(f3717,plain,
( e22 != e22
| spl0_554 ),
inference(forward_demodulation,[status(thm)],[f470,f2698]) ).
fof(f3718,plain,
( $false
| spl0_554 ),
inference(trivial_equality_resolution,[status(esa)],[f3717]) ).
fof(f3719,plain,
spl0_554,
inference(contradiction_clause,[status(thm)],[f3718]) ).
fof(f3722,plain,
( h5(e11) = e23
| ~ spl0_111 ),
inference(forward_demodulation,[status(thm)],[f457,f1151]) ).
fof(f3863,plain,
( op1(e11,e10) = op1(e12,e13)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f956,f3347]) ).
fof(f3864,plain,
( op1(e11,e10) = e11
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f435,f3863]) ).
fof(f3893,plain,
( h8(e11) != op2(e22,h8(e13))
| spl0_342 ),
inference(forward_demodulation,[status(thm)],[f466,f2886]) ).
fof(f3894,plain,
( h8(e11) != op2(e22,e21)
| spl0_342 ),
inference(forward_demodulation,[status(thm)],[f467,f3893]) ).
fof(f3901,plain,
op1(e10,e11) = op1(e13,op1(e13,e11)),
inference(forward_demodulation,[status(thm)],[f434,f117]) ).
fof(f3903,plain,
op1(e10,e13) = op1(e13,op1(e13,e13)),
inference(forward_demodulation,[status(thm)],[f434,f119]) ).
fof(f3904,plain,
op1(e10,e13) = op1(e13,e10),
inference(forward_demodulation,[status(thm)],[f434,f3903]) ).
fof(f3925,plain,
( op1(e13,e13) = e13
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f1008,f127]) ).
fof(f3926,plain,
( spl0_63
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f3925,f994,f1007]) ).
fof(f3970,plain,
( h7(e11) != op2(e22,h7(e13))
| spl0_319 ),
inference(forward_demodulation,[status(thm)],[f462,f2885]) ).
fof(f3971,plain,
( h7(e11) != op2(e22,e20)
| spl0_319 ),
inference(forward_demodulation,[status(thm)],[f463,f3970]) ).
fof(f4008,plain,
( spl0_17
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f3864,f845,f955]) ).
fof(f4058,plain,
( e20 != h2(e10)
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f1168,f2920]) ).
fof(f4059,plain,
( e20 != e20
| ~ spl0_124
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f3290,f4058]) ).
fof(f4060,plain,
( $false
| ~ spl0_124
| ~ spl0_116 ),
inference(trivial_equality_resolution,[status(esa)],[f4059]) ).
fof(f4061,plain,
( ~ spl0_124
| ~ spl0_116 ),
inference(contradiction_clause,[status(thm)],[f4060]) ).
fof(f4068,plain,
( e20 != op2(e23,e22)
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f3290,f2921]) ).
fof(f4104,plain,
( h9(op1(e11,e10)) != op2(e21,e20)
| spl0_358 ),
inference(forward_demodulation,[status(thm)],[f3000,f2999]) ).
fof(f4141,plain,
( e21 != e21
| spl0_549 ),
inference(forward_demodulation,[status(thm)],[f3000,f2678]) ).
fof(f4142,plain,
( $false
| spl0_549 ),
inference(trivial_equality_resolution,[status(esa)],[f4141]) ).
fof(f4143,plain,
spl0_549,
inference(contradiction_clause,[status(thm)],[f4142]) ).
fof(f4243,plain,
( e20 != e20
| spl0_544 ),
inference(forward_demodulation,[status(thm)],[f2994,f2658]) ).
fof(f4244,plain,
( $false
| spl0_544 ),
inference(trivial_equality_resolution,[status(esa)],[f4243]) ).
fof(f4245,plain,
spl0_544,
inference(contradiction_clause,[status(thm)],[f4244]) ).
fof(f4265,plain,
( $false
| ~ spl0_124
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[status(thm)],[f1246,f4068]) ).
fof(f4266,plain,
( ~ spl0_124
| ~ spl0_140 ),
inference(contradiction_clause,[status(thm)],[f4265]) ).
fof(f4275,plain,
( h10(e11) != op2(e23,h10(e13))
| spl0_388 ),
inference(forward_demodulation,[status(thm)],[f474,f2894]) ).
fof(f4276,plain,
( h10(e11) != op2(e23,e20)
| spl0_388 ),
inference(forward_demodulation,[status(thm)],[f475,f4275]) ).
fof(f4303,plain,
op2(op2(e20,e22),e23) = op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f437,f168]) ).
fof(f4311,plain,
( e10 != op1(e11,e10)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f791,f298]) ).
fof(f4312,plain,
( ~ spl0_16
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f4311,f842,f790]) ).
fof(f4392,plain,
( h9(op1(e10,e11)) != op2(e21,e20)
| ~ spl0_20
| spl0_358 ),
inference(backward_demodulation,[status(thm)],[f3401,f4104]) ).
fof(f4401,plain,
( op1(e10,e13) = op1(e12,e11)
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f921,f3346]) ).
fof(f4403,plain,
( op1(op1(e10,e13),e11) = op1(e11,e13)
| ~ spl0_40
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f3369,f3397]) ).
fof(f4405,plain,
( op1(e10,e13) = op1(e11,op1(e10,e12))
| ~ spl0_40
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f3372,f3398]) ).
fof(f4412,plain,
( op2(e23,e20) = e23
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f1272,f228]) ).
fof(f4416,plain,
( op2(e20,e23) = e23
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f1272,f227]) ).
fof(f4420,plain,
( op2(e22,e20) = e22
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f1272,f226]) ).
fof(f4424,plain,
( op2(e20,e22) = e22
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f1272,f225]) ).
fof(f4430,plain,
( op2(e21,e20) = e21
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f1272,f224]) ).
fof(f4517,plain,
( op2(e21,e23) = op2(e21,op2(e20,e23))
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f4430,f176]) ).
fof(f4566,plain,
( h9(op1(e13,e10)) != e23
| ~ spl0_148
| spl0_366 ),
inference(forward_demodulation,[status(thm)],[f4412,f3710]) ).
fof(f4569,plain,
( h9(op1(e10,e12)) != op2(e22,e20)
| ~ spl0_40
| spl0_362 ),
inference(forward_demodulation,[status(thm)],[f3372,f3701]) ).
fof(f4570,plain,
( h9(op1(e10,e12)) != e22
| ~ spl0_148
| ~ spl0_40
| spl0_362 ),
inference(forward_demodulation,[status(thm)],[f4420,f4569]) ).
fof(f4687,plain,
( h9(op1(e10,e13)) != e23
| ~ spl0_148
| spl0_366 ),
inference(backward_demodulation,[status(thm)],[f3904,f4566]) ).
fof(f4699,plain,
( $false
| spl0_342 ),
inference(forward_subsumption_resolution,[status(thm)],[f469,f3894]) ).
fof(f4700,plain,
spl0_342,
inference(contradiction_clause,[status(thm)],[f4699]) ).
fof(f4701,plain,
( h8(e11) = op2(h8(e12),h8(e13))
| ~ spl0_342 ),
inference(forward_demodulation,[status(thm)],[f435,f1927]) ).
fof(f4702,plain,
( h8(e11) = op2(e22,h8(e13))
| ~ spl0_342 ),
inference(forward_demodulation,[status(thm)],[f466,f4701]) ).
fof(f4703,plain,
( h8(e11) = op2(e22,e21)
| ~ spl0_342 ),
inference(forward_demodulation,[status(thm)],[f467,f4702]) ).
fof(f4709,plain,
( h7(e11) = op2(h7(e12),h7(e13))
| ~ spl0_319 ),
inference(forward_demodulation,[status(thm)],[f435,f1854]) ).
fof(f4710,plain,
( h7(e11) = op2(e22,h7(e13))
| ~ spl0_319 ),
inference(forward_demodulation,[status(thm)],[f462,f4709]) ).
fof(f4711,plain,
( h7(e11) = op2(e22,e20)
| ~ spl0_319 ),
inference(forward_demodulation,[status(thm)],[f463,f4710]) ).
fof(f4712,plain,
( h7(e11) = e22
| ~ spl0_148
| ~ spl0_319 ),
inference(forward_demodulation,[status(thm)],[f4420,f4711]) ).
fof(f4770,plain,
( e20 = op2(e21,e21)
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f3320,f440]) ).
fof(f4775,plain,
( op2(op2(e21,e21),e21) = op2(e21,e20)
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f4770,f178]) ).
fof(f4776,plain,
( op2(e20,e21) = op2(e21,e20)
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f4770,f4775]) ).
fof(f4816,plain,
( op1(e13,e10) = e13
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f999,f127]) ).
fof(f4819,plain,
( op1(e10,e12) = e12
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f999,f124]) ).
fof(f4832,plain,
( $false
| spl0_388 ),
inference(forward_subsumption_resolution,[status(thm)],[f477,f4276]) ).
fof(f4833,plain,
spl0_388,
inference(contradiction_clause,[status(thm)],[f4832]) ).
fof(f4834,plain,
( h10(e11) = op2(h10(e12),h10(e13))
| ~ spl0_388 ),
inference(forward_demodulation,[status(thm)],[f435,f2073]) ).
fof(f4835,plain,
( h10(e11) = op2(e23,h10(e13))
| ~ spl0_388 ),
inference(forward_demodulation,[status(thm)],[f474,f4834]) ).
fof(f4836,plain,
( h10(e11) = op2(e23,e20)
| ~ spl0_388 ),
inference(forward_demodulation,[status(thm)],[f475,f4835]) ).
fof(f4893,plain,
( op2(e20,e23) = op2(e21,op2(e21,e23))
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f4770,f180]) ).
fof(f4902,plain,
( e23 != op2(e23,e22)
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f3541,f3021]) ).
fof(f4914,plain,
( op2(op2(e22,e21),e21) = op2(e22,e20)
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f4770,f194]) ).
fof(f4919,plain,
( op2(e20,e22) = op2(e22,op2(e22,e22))
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f3319,f199]) ).
fof(f4920,plain,
( op2(e20,e22) = op2(e22,e20)
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f3319,f4919]) ).
fof(f4922,plain,
( op2(op2(e22,e21),e21) = op2(e20,e22)
| ~ spl0_124
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f4920,f4914]) ).
fof(f4927,plain,
( op2(e20,e23) = op2(e22,op2(e22,e23))
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f3319,f200]) ).
fof(f4928,plain,
( op2(e20,e23) = op2(e22,e21)
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f437,f4927]) ).
fof(f4945,plain,
op2(e21,e23) = op2(e22,op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f437,f204]) ).
fof(f4946,plain,
op2(e21,e23) = op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f436,f4945]) ).
fof(f4947,plain,
( op2(e21,e23) = op2(e20,e22)
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f4920,f4946]) ).
fof(f4951,plain,
( h9(op1(e10,e11)) != h4(e11)
| ~ spl0_20
| spl0_358 ),
inference(forward_demodulation,[status(thm)],[f453,f4392]) ).
fof(f4965,plain,
( h7(e11) = op2(e20,e22)
| ~ spl0_124
| ~ spl0_319 ),
inference(forward_demodulation,[status(thm)],[f4920,f4711]) ).
fof(f4966,plain,
( op2(e21,e23) = h7(e11)
| ~ spl0_319
| ~ spl0_124 ),
inference(backward_demodulation,[status(thm)],[f4965,f4947]) ).
fof(f4997,plain,
( e10 = e12
| ~ spl0_40
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f921,f927]) ).
fof(f4998,plain,
( $false
| ~ spl0_40
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f4997,f395]) ).
fof(f4999,plain,
( ~ spl0_40
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f4998]) ).
fof(f5090,plain,
( h9(e11) != op2(e23,e22)
| ~ spl0_57
| spl0_368 ),
inference(backward_demodulation,[status(thm)],[f976,f3705]) ).
fof(f5091,plain,
( e21 != op2(e23,e22)
| ~ spl0_57
| spl0_368 ),
inference(forward_demodulation,[status(thm)],[f3000,f5090]) ).
fof(f5116,plain,
op2(h2(e11),e23) = op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f445,f4303]) ).
fof(f5117,plain,
op2(h2(e11),e23) = h1(e11),
inference(forward_demodulation,[status(thm)],[f441,f5116]) ).
fof(f5129,plain,
( op2(e21,e21) = e21
| ~ spl0_149 ),
inference(backward_demodulation,[status(thm)],[f1275,f224]) ).
fof(f5130,plain,
( e20 = e21
| ~ spl0_104
| ~ spl0_149 ),
inference(forward_demodulation,[status(thm)],[f4770,f5129]) ).
fof(f5131,plain,
( $false
| ~ spl0_104
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[status(thm)],[f5130,f400]) ).
fof(f5132,plain,
( ~ spl0_104
| ~ spl0_149 ),
inference(contradiction_clause,[status(thm)],[f5131]) ).
fof(f5149,plain,
( h1(e11) = op2(e21,e20)
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f441,f4776]) ).
fof(f5150,plain,
( h1(e11) = h4(e11)
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f453,f5149]) ).
fof(f5163,plain,
h2(e11) != h12(e11),
inference(backward_demodulation,[status(thm)],[f485,f2926]) ).
fof(f5178,plain,
( h9(op1(e13,e11)) != h11(e11)
| spl0_367 ),
inference(forward_demodulation,[status(thm)],[f481,f3712]) ).
fof(f5198,plain,
op2(e20,e23) = op2(e23,op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f436,f220]) ).
fof(f5199,plain,
op2(e20,e23) = op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f436,f5198]) ).
fof(f5209,plain,
( h10(e11) = op2(e20,e23)
| ~ spl0_388 ),
inference(forward_demodulation,[status(thm)],[f5199,f4836]) ).
fof(f5210,plain,
( h10(e11) = op2(e23,e20)
| ~ spl0_388 ),
inference(backward_demodulation,[status(thm)],[f5209,f5199]) ).
fof(f5215,plain,
( h9(op1(e10,e13)) != op2(e22,e21)
| ~ spl0_40
| spl0_363 ),
inference(forward_demodulation,[status(thm)],[f4401,f3703]) ).
fof(f5216,plain,
( h9(op1(e10,e13)) != h8(e11)
| ~ spl0_342
| ~ spl0_40
| spl0_363 ),
inference(forward_demodulation,[status(thm)],[f4703,f5215]) ).
fof(f5231,plain,
( h7(e11) != h7(e11)
| spl0_319 ),
inference(forward_demodulation,[status(thm)],[f465,f3971]) ).
fof(f5232,plain,
( $false
| spl0_319 ),
inference(trivial_equality_resolution,[status(esa)],[f5231]) ).
fof(f5233,plain,
spl0_319,
inference(contradiction_clause,[status(thm)],[f5232]) ).
fof(f5235,plain,
( h7(e11) = h2(e11)
| ~ spl0_124
| ~ spl0_319 ),
inference(forward_demodulation,[status(thm)],[f445,f4965]) ).
fof(f5236,plain,
( $false
| spl0_529
| ~ spl0_148
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[status(thm)],[f4712,f2598]) ).
fof(f5237,plain,
( spl0_529
| ~ spl0_148
| ~ spl0_319 ),
inference(contradiction_clause,[status(thm)],[f5236]) ).
fof(f5240,plain,
( h10(e11) = e23
| ~ spl0_388
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f5209,f4416]) ).
fof(f5247,plain,
( spl0_94
| ~ spl0_148 ),
inference(split_clause,[status(thm)],[f4424,f1095,f1271]) ).
fof(f5264,plain,
( op2(e21,e23) = op2(e21,h10(e11))
| ~ spl0_388
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f5209,f4517]) ).
fof(f5329,plain,
( h10(e11) = op2(e21,op2(e21,e23))
| ~ spl0_388
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f5209,f4893]) ).
fof(f5331,plain,
( h10(e11) = op2(e21,h6(e11))
| ~ spl0_388
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f461,f5329]) ).
fof(f5333,plain,
( h9(op1(e11,e13)) != h6(e11)
| spl0_361 ),
inference(backward_demodulation,[status(thm)],[f461,f3709]) ).
fof(f5353,plain,
( h3(e11) = h10(e11)
| ~ spl0_388 ),
inference(forward_demodulation,[status(thm)],[f5209,f449]) ).
fof(f5360,plain,
( h3(e11) = op2(e20,e23)
| ~ spl0_388 ),
inference(backward_demodulation,[status(thm)],[f5353,f5209]) ).
fof(f5385,plain,
( op2(h8(e11),e21) = op2(e20,e22)
| ~ spl0_342
| ~ spl0_124
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f4703,f4922]) ).
fof(f5386,plain,
( op2(h8(e11),e21) = h2(e11)
| ~ spl0_342
| ~ spl0_124
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f445,f5385]) ).
fof(f5392,plain,
( op2(e20,e23) = h8(e11)
| ~ spl0_342
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f4703,f4928]) ).
fof(f5425,plain,
( h12(e11) = e22
| ~ spl0_142 ),
inference(forward_demodulation,[status(thm)],[f485,f1252]) ).
fof(f5456,plain,
( h3(e11) = e23
| ~ spl0_388
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f5353,f5240]) ).
fof(f5460,plain,
( h6(e11) = op2(e21,h10(e11))
| ~ spl0_388
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f461,f5264]) ).
fof(f5461,plain,
( h6(e11) = op2(e21,h3(e11))
| ~ spl0_388
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f5353,f5460]) ).
fof(f5462,plain,
( h6(e11) = op2(e20,e22)
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f461,f4947]) ).
fof(f5463,plain,
( h6(e11) = op2(e22,e20)
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f5462,f4920]) ).
fof(f5464,plain,
( h6(e11) = h7(e11)
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f465,f5463]) ).
fof(f5508,plain,
( op1(e11,e10) = e10
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f1002,f120]) ).
fof(f5509,plain,
( spl0_16
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f5508,f842,f1001]) ).
fof(f5510,plain,
( spl0_51
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f4816,f955,f998]) ).
fof(f5616,plain,
( h3(e11) = e23
| ~ spl0_388
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f5353,f3541]) ).
fof(f5689,plain,
( op1(e10,e11) = e11
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f846,f3401]) ).
fof(f5692,plain,
( e11 = op1(e13,op1(e13,e11))
| ~ spl0_17
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f5689,f3901]) ).
fof(f5754,plain,
( h10(e11) = e23
| ~ spl0_135
| ~ spl0_388 ),
inference(forward_demodulation,[status(thm)],[f3545,f5210]) ).
fof(f5760,plain,
( h6(e11) = h2(e11)
| ~ spl0_124
| ~ spl0_319 ),
inference(forward_demodulation,[status(thm)],[f5464,f5235]) ).
fof(f5765,plain,
( h2(e11) = op2(e21,e23)
| ~ spl0_124
| ~ spl0_319 ),
inference(backward_demodulation,[status(thm)],[f5760,f461]) ).
fof(f5769,plain,
( e23 = op2(e21,h6(e11))
| ~ spl0_135
| ~ spl0_388
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f5754,f5331]) ).
fof(f5770,plain,
( e23 = op2(e21,h2(e11))
| ~ spl0_124
| ~ spl0_319
| ~ spl0_135
| ~ spl0_388
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f5760,f5769]) ).
fof(f5809,plain,
( h2(e11) = op2(e21,h3(e11))
| ~ spl0_124
| ~ spl0_319
| ~ spl0_388
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f5760,f5461]) ).
fof(f5810,plain,
( h2(e11) = op2(e21,e23)
| ~ spl0_135
| ~ spl0_124
| ~ spl0_319
| ~ spl0_388
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f5616,f5809]) ).
fof(f5811,plain,
( h2(e11) = h7(e11)
| ~ spl0_135
| ~ spl0_124
| ~ spl0_319
| ~ spl0_388
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f4966,f5810]) ).
fof(f5813,plain,
( h2(e11) = e22
| ~ spl0_135
| ~ spl0_124
| ~ spl0_388
| ~ spl0_148
| ~ spl0_319 ),
inference(forward_demodulation,[status(thm)],[f5811,f4712]) ).
fof(f5816,plain,
( op2(h8(e11),e21) = e22
| ~ spl0_135
| ~ spl0_388
| ~ spl0_148
| ~ spl0_319
| ~ spl0_342
| ~ spl0_124
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f5813,f5386]) ).
fof(f5817,plain,
( e23 = op2(e21,e22)
| ~ spl0_148
| ~ spl0_124
| ~ spl0_319
| ~ spl0_135
| ~ spl0_388
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f5813,f5770]) ).
fof(f5861,plain,
( e22 != h12(e11)
| ~ spl0_135
| ~ spl0_124
| ~ spl0_388
| ~ spl0_148
| ~ spl0_319 ),
inference(forward_demodulation,[status(thm)],[f5813,f5163]) ).
fof(f5862,plain,
( e22 != e22
| ~ spl0_142
| ~ spl0_135
| ~ spl0_124
| ~ spl0_388
| ~ spl0_148
| ~ spl0_319 ),
inference(forward_demodulation,[status(thm)],[f5425,f5861]) ).
fof(f5863,plain,
( $false
| ~ spl0_142
| ~ spl0_135
| ~ spl0_124
| ~ spl0_388
| ~ spl0_148
| ~ spl0_319 ),
inference(trivial_equality_resolution,[status(esa)],[f5862]) ).
fof(f5864,plain,
( ~ spl0_142
| ~ spl0_135
| ~ spl0_124
| ~ spl0_388
| ~ spl0_148
| ~ spl0_319 ),
inference(contradiction_clause,[status(thm)],[f5863]) ).
fof(f5914,plain,
( op2(e21,e23) = e22
| ~ spl0_529
| ~ spl0_319
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f2597,f4966]) ).
fof(f5932,plain,
( h2(e11) = e22
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f445,f1096]) ).
fof(f5934,plain,
( op2(e22,e23) = h1(e11)
| ~ spl0_94 ),
inference(backward_demodulation,[status(thm)],[f5932,f5117]) ).
fof(f5935,plain,
( e21 = h1(e11)
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f437,f5934]) ).
fof(f5959,plain,
( op1(e10,e13) = e13
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f999,f126]) ).
fof(f5983,plain,
( op1(e13,e11) = op1(e11,e13)
| ~ spl0_64
| ~ spl0_40
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f5959,f4403]) ).
fof(f6024,plain,
( h9(e13) != h8(e11)
| ~ spl0_64
| ~ spl0_342
| ~ spl0_40
| spl0_363 ),
inference(forward_demodulation,[status(thm)],[f5959,f5216]) ).
fof(f6025,plain,
( e23 != h8(e11)
| ~ spl0_64
| ~ spl0_342
| ~ spl0_40
| spl0_363 ),
inference(forward_demodulation,[status(thm)],[f471,f6024]) ).
fof(f6289,plain,
( h3(e11) = h8(e11)
| ~ spl0_342
| ~ spl0_124
| ~ spl0_388 ),
inference(forward_demodulation,[status(thm)],[f5392,f5360]) ).
fof(f6314,plain,
( e12 = op1(e11,e13)
| ~ spl0_64
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f4819,f3372]) ).
fof(f6329,plain,
( op1(e13,e11) = e12
| ~ spl0_64
| ~ spl0_40
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f6314,f5983]) ).
fof(f6352,plain,
( e13 = op1(e11,op1(e10,e12))
| ~ spl0_64
| ~ spl0_40
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f5959,f4405]) ).
fof(f6353,plain,
( e13 = op1(e11,e12)
| ~ spl0_64
| ~ spl0_40
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f4819,f6352]) ).
fof(f6444,plain,
( op2(e22,e20) = e20
| ~ spl0_150 ),
inference(backward_demodulation,[status(thm)],[f1278,f221]) ).
fof(f6445,plain,
( spl0_116
| ~ spl0_150 ),
inference(split_clause,[status(thm)],[f6444,f1167,f1277]) ).
fof(f6461,plain,
( h2(e11) = e22
| ~ spl0_529
| ~ spl0_319
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f5765,f5914]) ).
fof(f6482,plain,
( spl0_135
| ~ spl0_148 ),
inference(split_clause,[status(thm)],[f4412,f1228,f1271]) ).
fof(f6502,plain,
( h9(e12) != e22
| ~ spl0_64
| ~ spl0_148
| ~ spl0_40
| spl0_362 ),
inference(forward_demodulation,[status(thm)],[f4819,f4570]) ).
fof(f6503,plain,
( e22 != e22
| ~ spl0_64
| ~ spl0_148
| ~ spl0_40
| spl0_362 ),
inference(forward_demodulation,[status(thm)],[f470,f6502]) ).
fof(f6504,plain,
( $false
| ~ spl0_64
| ~ spl0_148
| ~ spl0_40
| spl0_362 ),
inference(trivial_equality_resolution,[status(esa)],[f6503]) ).
fof(f6505,plain,
( ~ spl0_64
| ~ spl0_148
| ~ spl0_40
| spl0_362 ),
inference(contradiction_clause,[status(thm)],[f6504]) ).
fof(f6514,plain,
( h9(e13) != e23
| ~ spl0_64
| ~ spl0_148
| spl0_366 ),
inference(forward_demodulation,[status(thm)],[f5959,f4687]) ).
fof(f6515,plain,
( e23 != e23
| ~ spl0_64
| ~ spl0_148
| spl0_366 ),
inference(forward_demodulation,[status(thm)],[f471,f6514]) ).
fof(f6516,plain,
( $false
| ~ spl0_64
| ~ spl0_148
| spl0_366 ),
inference(trivial_equality_resolution,[status(esa)],[f6515]) ).
fof(f6517,plain,
( ~ spl0_64
| ~ spl0_148
| spl0_366 ),
inference(contradiction_clause,[status(thm)],[f6516]) ).
fof(f6569,plain,
( ~ spl0_143
| ~ spl0_135 ),
inference(split_clause,[status(thm)],[f4902,f1254,f1228]) ).
fof(f6577,plain,
( op2(h3(e11),e21) = e22
| ~ spl0_135
| ~ spl0_388
| ~ spl0_148
| ~ spl0_319
| ~ spl0_342
| ~ spl0_124
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f6289,f5816]) ).
fof(f6578,plain,
( spl0_111
| ~ spl0_148
| ~ spl0_124
| ~ spl0_319
| ~ spl0_135
| ~ spl0_388
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f5817,f1150,f1271,f1193,f1853,f1228,f2072,f1128]) ).
fof(f6697,plain,
( h6(e11) = e22
| ~ spl0_529
| ~ spl0_124
| ~ spl0_319 ),
inference(backward_demodulation,[status(thm)],[f6461,f5760]) ).
fof(f6704,plain,
( e21 = h4(e11)
| ~ spl0_94
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f5935,f5150]) ).
fof(f6744,plain,
( e23 = h8(e11)
| ~ spl0_148
| ~ spl0_342
| ~ spl0_124
| ~ spl0_388 ),
inference(backward_demodulation,[status(thm)],[f5456,f6289]) ).
fof(f6764,plain,
( op2(e23,e21) = e22
| ~ spl0_135
| ~ spl0_388
| ~ spl0_148
| ~ spl0_319
| ~ spl0_342
| ~ spl0_124
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f5456,f6577]) ).
fof(f6765,plain,
( h11(e11) = e22
| ~ spl0_135
| ~ spl0_388
| ~ spl0_148
| ~ spl0_319
| ~ spl0_342
| ~ spl0_124
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f481,f6764]) ).
fof(f6970,plain,
( e11 = op1(e13,e12)
| ~ spl0_64
| ~ spl0_40
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f6329,f5692]) ).
fof(f7001,plain,
( e23 != e23
| spl0_376 ),
inference(forward_demodulation,[status(thm)],[f471,f2037]) ).
fof(f7002,plain,
( $false
| spl0_376 ),
inference(trivial_equality_resolution,[status(esa)],[f7001]) ).
fof(f7003,plain,
spl0_376,
inference(contradiction_clause,[status(thm)],[f7002]) ).
fof(f7012,plain,
( ~ spl0_141
| ~ spl0_57
| spl0_368 ),
inference(split_clause,[status(thm)],[f5091,f1248,f975,f2008]) ).
fof(f7027,plain,
( h9(e12) != h11(e11)
| ~ spl0_64
| ~ spl0_40
| ~ spl0_20
| spl0_367 ),
inference(forward_demodulation,[status(thm)],[f6329,f5178]) ).
fof(f7028,plain,
( e22 != h11(e11)
| ~ spl0_64
| ~ spl0_40
| ~ spl0_20
| spl0_367 ),
inference(forward_demodulation,[status(thm)],[f470,f7027]) ).
fof(f7029,plain,
( e22 != e22
| ~ spl0_135
| ~ spl0_388
| ~ spl0_148
| ~ spl0_319
| ~ spl0_342
| ~ spl0_124
| ~ spl0_104
| ~ spl0_64
| ~ spl0_40
| ~ spl0_20
| spl0_367 ),
inference(forward_demodulation,[status(thm)],[f6765,f7028]) ).
fof(f7030,plain,
( $false
| ~ spl0_135
| ~ spl0_388
| ~ spl0_148
| ~ spl0_319
| ~ spl0_342
| ~ spl0_124
| ~ spl0_104
| ~ spl0_64
| ~ spl0_40
| ~ spl0_20
| spl0_367 ),
inference(trivial_equality_resolution,[status(esa)],[f7029]) ).
fof(f7031,plain,
( ~ spl0_135
| ~ spl0_388
| ~ spl0_148
| ~ spl0_319
| ~ spl0_342
| ~ spl0_124
| ~ spl0_104
| ~ spl0_64
| ~ spl0_40
| ~ spl0_20
| spl0_367 ),
inference(contradiction_clause,[status(thm)],[f7030]) ).
fof(f7036,plain,
( h9(e10) != h2(e10)
| ~ spl0_40
| spl0_364 ),
inference(forward_demodulation,[status(thm)],[f921,f2988]) ).
fof(f7037,plain,
( e20 != h2(e10)
| ~ spl0_40
| spl0_364 ),
inference(forward_demodulation,[status(thm)],[f2994,f7036]) ).
fof(f7038,plain,
( e20 != e20
| ~ spl0_124
| ~ spl0_40
| spl0_364 ),
inference(forward_demodulation,[status(thm)],[f3290,f7037]) ).
fof(f7039,plain,
( $false
| ~ spl0_124
| ~ spl0_40
| spl0_364 ),
inference(trivial_equality_resolution,[status(esa)],[f7038]) ).
fof(f7040,plain,
( ~ spl0_124
| ~ spl0_40
| spl0_364 ),
inference(contradiction_clause,[status(thm)],[f7039]) ).
fof(f7045,plain,
( h9(e12) != h6(e11)
| ~ spl0_64
| ~ spl0_40
| spl0_361 ),
inference(forward_demodulation,[status(thm)],[f6314,f5333]) ).
fof(f7046,plain,
( e22 != h6(e11)
| ~ spl0_64
| ~ spl0_40
| spl0_361 ),
inference(forward_demodulation,[status(thm)],[f470,f7045]) ).
fof(f7047,plain,
( e22 != e22
| ~ spl0_529
| ~ spl0_124
| ~ spl0_319
| ~ spl0_64
| ~ spl0_40
| spl0_361 ),
inference(forward_demodulation,[status(thm)],[f6697,f7046]) ).
fof(f7048,plain,
( $false
| ~ spl0_529
| ~ spl0_124
| ~ spl0_319
| ~ spl0_64
| ~ spl0_40
| spl0_361 ),
inference(trivial_equality_resolution,[status(esa)],[f7047]) ).
fof(f7049,plain,
( ~ spl0_529
| ~ spl0_124
| ~ spl0_319
| ~ spl0_64
| ~ spl0_40
| spl0_361 ),
inference(contradiction_clause,[status(thm)],[f7048]) ).
fof(f7054,plain,
( h9(e13) != h5(e11)
| ~ spl0_27
| spl0_360 ),
inference(forward_demodulation,[status(thm)],[f878,f3699]) ).
fof(f7055,plain,
( e23 != h5(e11)
| ~ spl0_27
| spl0_360 ),
inference(forward_demodulation,[status(thm)],[f471,f7054]) ).
fof(f7056,plain,
( e23 != e23
| ~ spl0_111
| ~ spl0_27
| spl0_360 ),
inference(forward_demodulation,[status(thm)],[f3722,f7055]) ).
fof(f7057,plain,
( $false
| ~ spl0_111
| ~ spl0_27
| spl0_360 ),
inference(trivial_equality_resolution,[status(esa)],[f7056]) ).
fof(f7058,plain,
( ~ spl0_111
| ~ spl0_27
| spl0_360 ),
inference(contradiction_clause,[status(thm)],[f7057]) ).
fof(f7063,plain,
( h9(e10) != h1(e10)
| ~ spl0_20
| spl0_359 ),
inference(forward_demodulation,[status(thm)],[f856,f3003]) ).
fof(f7064,plain,
( e20 != h1(e10)
| ~ spl0_20
| spl0_359 ),
inference(forward_demodulation,[status(thm)],[f2994,f7063]) ).
fof(f7065,plain,
( e20 != e20
| ~ spl0_104
| ~ spl0_20
| spl0_359 ),
inference(forward_demodulation,[status(thm)],[f3320,f7064]) ).
fof(f7066,plain,
( $false
| ~ spl0_104
| ~ spl0_20
| spl0_359 ),
inference(trivial_equality_resolution,[status(esa)],[f7065]) ).
fof(f7067,plain,
( ~ spl0_104
| ~ spl0_20
| spl0_359 ),
inference(contradiction_clause,[status(thm)],[f7066]) ).
fof(f7072,plain,
( h9(e13) != h3(e11)
| ~ spl0_64
| spl0_357 ),
inference(forward_demodulation,[status(thm)],[f5959,f3708]) ).
fof(f7073,plain,
( e23 != h3(e11)
| ~ spl0_64
| spl0_357 ),
inference(forward_demodulation,[status(thm)],[f471,f7072]) ).
fof(f7074,plain,
( e23 != e23
| ~ spl0_388
| ~ spl0_148
| ~ spl0_64
| spl0_357 ),
inference(forward_demodulation,[status(thm)],[f5456,f7073]) ).
fof(f7075,plain,
( $false
| ~ spl0_388
| ~ spl0_148
| ~ spl0_64
| spl0_357 ),
inference(trivial_equality_resolution,[status(esa)],[f7074]) ).
fof(f7076,plain,
( ~ spl0_388
| ~ spl0_148
| ~ spl0_64
| spl0_357 ),
inference(contradiction_clause,[status(thm)],[f7075]) ).
fof(f7081,plain,
( h9(e12) != h2(e11)
| ~ spl0_64
| spl0_356 ),
inference(forward_demodulation,[status(thm)],[f4819,f3697]) ).
fof(f7082,plain,
( e22 != h2(e11)
| ~ spl0_64
| spl0_356 ),
inference(forward_demodulation,[status(thm)],[f470,f7081]) ).
fof(f7083,plain,
( e22 != e22
| ~ spl0_529
| ~ spl0_319
| ~ spl0_124
| ~ spl0_64
| spl0_356 ),
inference(forward_demodulation,[status(thm)],[f6461,f7082]) ).
fof(f7084,plain,
( $false
| ~ spl0_529
| ~ spl0_319
| ~ spl0_124
| ~ spl0_64
| spl0_356 ),
inference(trivial_equality_resolution,[status(esa)],[f7083]) ).
fof(f7085,plain,
( ~ spl0_529
| ~ spl0_319
| ~ spl0_124
| ~ spl0_64
| spl0_356 ),
inference(contradiction_clause,[status(thm)],[f7084]) ).
fof(f7090,plain,
( h9(e11) != h1(e11)
| ~ spl0_17
| ~ spl0_20
| spl0_355 ),
inference(forward_demodulation,[status(thm)],[f5689,f3715]) ).
fof(f7091,plain,
( e21 != h1(e11)
| ~ spl0_17
| ~ spl0_20
| spl0_355 ),
inference(forward_demodulation,[status(thm)],[f3000,f7090]) ).
fof(f7092,plain,
( e21 != e21
| ~ spl0_94
| ~ spl0_17
| ~ spl0_20
| spl0_355 ),
inference(forward_demodulation,[status(thm)],[f5935,f7091]) ).
fof(f7093,plain,
( $false
| ~ spl0_94
| ~ spl0_17
| ~ spl0_20
| spl0_355 ),
inference(trivial_equality_resolution,[status(esa)],[f7092]) ).
fof(f7094,plain,
( ~ spl0_94
| ~ spl0_17
| ~ spl0_20
| spl0_355 ),
inference(contradiction_clause,[status(thm)],[f7093]) ).
fof(f7103,plain,
( e23 != e23
| ~ spl0_148
| ~ spl0_124
| ~ spl0_388
| ~ spl0_64
| ~ spl0_342
| ~ spl0_40
| spl0_363 ),
inference(forward_demodulation,[status(thm)],[f6744,f6025]) ).
fof(f7104,plain,
( $false
| ~ spl0_148
| ~ spl0_124
| ~ spl0_388
| ~ spl0_64
| ~ spl0_342
| ~ spl0_40
| spl0_363 ),
inference(trivial_equality_resolution,[status(esa)],[f7103]) ).
fof(f7105,plain,
( ~ spl0_148
| ~ spl0_124
| ~ spl0_388
| ~ spl0_64
| ~ spl0_342
| ~ spl0_40
| spl0_363 ),
inference(contradiction_clause,[status(thm)],[f7104]) ).
fof(f7120,plain,
( spl0_57
| ~ spl0_64
| ~ spl0_40
| ~ spl0_17
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f6970,f975,f998,f920,f845,f855]) ).
fof(f7122,plain,
( spl0_27
| ~ spl0_64
| ~ spl0_40
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f6353,f877,f998,f920,f855]) ).
fof(f7154,plain,
( h9(e11) != h4(e11)
| ~ spl0_17
| ~ spl0_20
| spl0_358 ),
inference(forward_demodulation,[status(thm)],[f5689,f4951]) ).
fof(f7155,plain,
( e21 != h4(e11)
| ~ spl0_17
| ~ spl0_20
| spl0_358 ),
inference(forward_demodulation,[status(thm)],[f3000,f7154]) ).
fof(f7156,plain,
( e21 != e21
| ~ spl0_94
| ~ spl0_104
| ~ spl0_17
| ~ spl0_20
| spl0_358 ),
inference(forward_demodulation,[status(thm)],[f6704,f7155]) ).
fof(f7157,plain,
( $false
| ~ spl0_94
| ~ spl0_104
| ~ spl0_17
| ~ spl0_20
| spl0_358 ),
inference(trivial_equality_resolution,[status(esa)],[f7156]) ).
fof(f7158,plain,
( ~ spl0_94
| ~ spl0_104
| ~ spl0_17
| ~ spl0_20
| spl0_358 ),
inference(contradiction_clause,[status(thm)],[f7157]) ).
fof(f7165,plain,
( h9(e10) != h4(e10)
| ~ spl0_0
| spl0_354 ),
inference(forward_demodulation,[status(thm)],[f791,f2997]) ).
fof(f7166,plain,
( e20 != h4(e10)
| ~ spl0_0
| spl0_354 ),
inference(forward_demodulation,[status(thm)],[f2994,f7165]) ).
fof(f7167,plain,
( e20 != e20
| ~ spl0_84
| ~ spl0_0
| spl0_354 ),
inference(forward_demodulation,[status(thm)],[f3324,f7166]) ).
fof(f7168,plain,
( $false
| ~ spl0_84
| ~ spl0_0
| spl0_354 ),
inference(trivial_equality_resolution,[status(esa)],[f7167]) ).
fof(f7169,plain,
( ~ spl0_84
| ~ spl0_0
| spl0_354 ),
inference(contradiction_clause,[status(thm)],[f7168]) ).
fof(f7532,plain,
( e23 != e23
| spl0_307 ),
inference(forward_demodulation,[status(thm)],[f459,f1818]) ).
fof(f7533,plain,
( $false
| spl0_307 ),
inference(trivial_equality_resolution,[status(esa)],[f7532]) ).
fof(f7534,plain,
spl0_307,
inference(contradiction_clause,[status(thm)],[f7533]) ).
fof(f7561,plain,
( e23 != e23
| spl0_238 ),
inference(forward_demodulation,[status(thm)],[f447,f1599]) ).
fof(f7562,plain,
( $false
| spl0_238 ),
inference(trivial_equality_resolution,[status(esa)],[f7561]) ).
fof(f7563,plain,
spl0_238,
inference(contradiction_clause,[status(thm)],[f7562]) ).
fof(f7763,plain,
( op1(e12,e12) = e12
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f1005,f125]) ).
fof(f7764,plain,
( spl0_42
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f7763,f926,f1004]) ).
fof(f7773,plain,
$false,
inference(sat_refutation,[status(thm)],[f1010,f1257,f1283,f1374,f1381,f2038,f2264,f2271,f2659,f2679,f2699,f2854,f2861,f2862,f2863,f2864,f2866,f2867,f2868,f3430,f3447,f3466,f3486,f3490,f3497,f3517,f3610,f3632,f3719,f3926,f4008,f4061,f4143,f4245,f4266,f4312,f4700,f4833,f4999,f5132,f5233,f5237,f5247,f5509,f5510,f5864,f6445,f6482,f6505,f6517,f6569,f6578,f7003,f7012,f7031,f7040,f7049,f7058,f7067,f7076,f7085,f7094,f7105,f7120,f7122,f7158,f7169,f7534,f7563,f7764]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG015+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:38:03 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 2.11/0.72 % Refutation found
% 2.11/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.11/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.83/0.75 % Elapsed time: 0.388704 seconds
% 2.83/0.75 % CPU time: 2.859009 seconds
% 2.83/0.75 % Total memory used: 79.825 MB
% 2.83/0.75 % Net memory used: 74.671 MB
%------------------------------------------------------------------------------