%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG105+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:13 AM UTC 2026
% Result : Theorem 0.89s 0.65s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 107
% Number of leaves : 65
% Syntax : Number of formulae : 517 ( 167 unt; 42 def)
% Number of atoms : 4391 (4031 equ)
% Maximal formula atoms : 384 ( 8 avg)
% Number of connectives : 6113 (2239 ~;2664 |;1164 &)
% ( 46 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 6 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 44 ( 42 usr; 43 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( ( op1(e13,op1(e13,e13)) = op1(e13,e13)
& op1(e13,op1(e12,e13)) = op1(e12,e13)
& op1(e13,op1(e11,e13)) = op1(e11,e13)
& op1(e13,op1(e10,e13)) = op1(e10,e13) )
| ( op1(e12,op1(e13,e12)) = op1(e13,e12)
& op1(e12,op1(e12,e12)) = op1(e12,e12)
& op1(e12,op1(e11,e12)) = op1(e11,e12)
& op1(e12,op1(e10,e12)) = op1(e10,e12) )
| ( op1(e11,op1(e13,e11)) = op1(e13,e11)
& op1(e11,op1(e12,e11)) = op1(e12,e11)
& op1(e11,op1(e11,e11)) = op1(e11,e11)
& op1(e11,op1(e10,e11)) = op1(e10,e11) )
| ( op1(e10,op1(e13,e10)) = op1(e13,e10)
& op1(e10,op1(e12,e10)) = op1(e12,e10)
& op1(e10,op1(e11,e10)) = op1(e11,e10)
& op1(e10,op1(e10,e10)) = op1(e10,e10) ) )
& op1(op1(e13,e13),e13) = e13
& op1(op1(e13,e12),e13) = e12
& op1(op1(e13,e11),e13) = e11
& op1(op1(e13,e10),e13) = e10
& op1(op1(e12,e13),e12) = e13
& op1(op1(e12,e12),e12) = e12
& op1(op1(e12,e11),e12) = e11
& op1(op1(e12,e10),e12) = e10
& op1(op1(e11,e13),e11) = e13
& op1(op1(e11,e12),e11) = e12
& op1(op1(e11,e11),e11) = e11
& op1(op1(e11,e10),e11) = e10
& op1(op1(e10,e13),e10) = e13
& op1(op1(e10,e12),e10) = e12
& op1(op1(e10,e11),e10) = e11
& op1(op1(e10,e10),e10) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( ( op2(e23,op2(e23,e23)) = op2(e23,e23)
& op2(e23,op2(e22,e23)) = op2(e22,e23)
& op2(e23,op2(e21,e23)) = op2(e21,e23)
& op2(e23,op2(e20,e23)) = op2(e20,e23) )
| ( op2(e22,op2(e23,e22)) = op2(e23,e22)
& op2(e22,op2(e22,e22)) = op2(e22,e22)
& op2(e22,op2(e21,e22)) = op2(e21,e22)
& op2(e22,op2(e20,e22)) = op2(e20,e22) )
| ( op2(e21,op2(e23,e21)) = op2(e23,e21)
& op2(e21,op2(e22,e21)) = op2(e22,e21)
& op2(e21,op2(e21,e21)) = op2(e21,e21)
& op2(e21,op2(e20,e21)) = op2(e20,e21) )
| ( op2(e20,op2(e23,e20)) = op2(e23,e20)
& op2(e20,op2(e22,e20)) = op2(e22,e20)
& op2(e20,op2(e21,e20)) = op2(e21,e20)
& op2(e20,op2(e20,e20)) = op2(e20,e20) ) )
& op2(op2(e23,e23),e23) = e23
& op2(op2(e23,e22),e23) = e22
& op2(op2(e23,e21),e23) = e21
& op2(op2(e23,e20),e23) = e20
& op2(op2(e22,e23),e22) = e23
& op2(op2(e22,e22),e22) = e22
& op2(op2(e22,e21),e22) = e21
& op2(op2(e22,e20),e22) = e20
& op2(op2(e21,e23),e21) = e23
& op2(op2(e21,e22),e21) = e22
& op2(op2(e21,e21),e21) = e21
& op2(op2(e21,e20),e21) = e20
& op2(op2(e20,e23),e20) = e23
& op2(op2(e20,e22),e20) = e22
& op2(op2(e20,e21),e20) = e21
& op2(op2(e20,e20),e20) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e13 = op1(e12,e11)
& e10 = op1(op1(e12,e11),op1(e12,e11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e23 = op2(e22,e21)
& e20 = op2(op2(e22,e21),op2(e22,e21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = op2(e21,e20)
& h1(e10) = op2(op2(e21,e20),op2(e21,e20))
& h1(e12) = e21
& h1(e11) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = op2(e22,e20)
& h2(e10) = op2(op2(e22,e20),op2(e22,e20))
& h2(e12) = e22
& h2(e11) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = op2(e23,e20)
& h3(e10) = op2(op2(e23,e20),op2(e23,e20))
& h3(e12) = e23
& h3(e11) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = op2(e20,e21)
& h4(e10) = op2(op2(e20,e21),op2(e20,e21))
& h4(e12) = e20
& h4(e11) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
( h6(e13) = op2(e23,e21)
& h6(e10) = op2(op2(e23,e21),op2(e23,e21))
& h6(e12) = e23
& h6(e11) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( h7(e13) = op2(e20,e22)
& h7(e10) = op2(op2(e20,e22),op2(e20,e22))
& h7(e12) = e20
& h7(e11) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
( h8(e13) = op2(e21,e22)
& h8(e10) = op2(op2(e21,e22),op2(e21,e22))
& h8(e12) = e21
& h8(e11) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
( h9(e13) = op2(e23,e22)
& h9(e10) = op2(op2(e23,e22),op2(e23,e22))
& h9(e12) = e23
& h9(e11) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
( h10(e13) = op2(e20,e23)
& h10(e10) = op2(op2(e20,e23),op2(e20,e23))
& h10(e12) = e20
& h10(e11) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
( h11(e13) = op2(e21,e23)
& h11(e10) = op2(op2(e21,e23),op2(e21,e23))
& h11(e12) = e21
& h11(e11) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
( h12(e13) = op2(e22,e23)
& h12(e10) = op2(op2(e22,e23),op2(e22,e23))
& h12(e12) = e22
& h12(e11) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,conjecture,
( ( ( h12(e13) = e23
| h12(e12) = e23
| h12(e11) = e23
| h12(e10) = e23 )
& ( h12(e13) = e22
| h12(e12) = e22
| h12(e11) = e22
| h12(e10) = e22 )
& ( h12(e13) = e21
| h12(e12) = e21
| h12(e11) = e21
| h12(e10) = e21 )
& ( h12(e13) = e20
| h12(e12) = e20
| h12(e11) = e20
| h12(e10) = e20 )
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) )
| ( ( h11(e13) = e23
| h11(e12) = e23
| h11(e11) = e23
| h11(e10) = e23 )
& ( h11(e13) = e22
| h11(e12) = e22
| h11(e11) = e22
| h11(e10) = e22 )
& ( h11(e13) = e21
| h11(e12) = e21
| h11(e11) = e21
| h11(e10) = e21 )
& ( h11(e13) = e20
| h11(e12) = e20
| h11(e11) = e20
| h11(e10) = e20 )
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e10)) = op2(h11(e10),h11(e10)) )
| ( ( h10(e13) = e23
| h10(e12) = e23
| h10(e11) = e23
| h10(e10) = e23 )
& ( h10(e13) = e22
| h10(e12) = e22
| h10(e11) = e22
| h10(e10) = e22 )
& ( h10(e13) = e21
| h10(e12) = e21
| h10(e11) = e21
| h10(e10) = e21 )
& ( h10(e13) = e20
| h10(e12) = e20
| h10(e11) = e20
| h10(e10) = e20 )
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e10)) = op2(h10(e10),h10(e10)) )
| ( ( h9(e13) = e23
| h9(e12) = e23
| h9(e11) = e23
| h9(e10) = e23 )
& ( h9(e13) = e22
| h9(e12) = e22
| h9(e11) = e22
| h9(e10) = e22 )
& ( h9(e13) = e21
| h9(e12) = e21
| h9(e11) = e21
| h9(e10) = e21 )
& ( h9(e13) = e20
| h9(e12) = e20
| h9(e11) = e20
| h9(e10) = e20 )
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e10)) = op2(h9(e10),h9(e10)) )
| ( ( h8(e13) = e23
| h8(e12) = e23
| h8(e11) = e23
| h8(e10) = e23 )
& ( h8(e13) = e22
| h8(e12) = e22
| h8(e11) = e22
| h8(e10) = e22 )
& ( h8(e13) = e21
| h8(e12) = e21
| h8(e11) = e21
| h8(e10) = e21 )
& ( h8(e13) = e20
| h8(e12) = e20
| h8(e11) = e20
| h8(e10) = e20 )
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e10)) = op2(h8(e10),h8(e10)) )
| ( ( h7(e13) = e23
| h7(e12) = e23
| h7(e11) = e23
| h7(e10) = e23 )
& ( h7(e13) = e22
| h7(e12) = e22
| h7(e11) = e22
| h7(e10) = e22 )
& ( h7(e13) = e21
| h7(e12) = e21
| h7(e11) = e21
| h7(e10) = e21 )
& ( h7(e13) = e20
| h7(e12) = e20
| h7(e11) = e20
| h7(e10) = e20 )
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e10)) = op2(h7(e10),h7(e10)) )
| ( ( h6(e13) = e23
| h6(e12) = e23
| h6(e11) = e23
| h6(e10) = e23 )
& ( h6(e13) = e22
| h6(e12) = e22
| h6(e11) = e22
| h6(e10) = e22 )
& ( h6(e13) = e21
| h6(e12) = e21
| h6(e11) = e21
| h6(e10) = e21 )
& ( h6(e13) = e20
| h6(e12) = e20
| h6(e11) = e20
| h6(e10) = e20 )
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e10)) = op2(h6(e10),h6(e10)) )
| ( ( h5(e13) = e23
| h5(e12) = e23
| h5(e11) = e23
| h5(e10) = e23 )
& ( h5(e13) = e22
| h5(e12) = e22
| h5(e11) = e22
| h5(e10) = e22 )
& ( h5(e13) = e21
| h5(e12) = e21
| h5(e11) = e21
| h5(e10) = e21 )
& ( h5(e13) = e20
| h5(e12) = e20
| h5(e11) = e20
| h5(e10) = e20 )
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e10)) = op2(h5(e10),h5(e10)) )
| ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
~ ( ( ( h12(e13) = e23
| h12(e12) = e23
| h12(e11) = e23
| h12(e10) = e23 )
& ( h12(e13) = e22
| h12(e12) = e22
| h12(e11) = e22
| h12(e10) = e22 )
& ( h12(e13) = e21
| h12(e12) = e21
| h12(e11) = e21
| h12(e10) = e21 )
& ( h12(e13) = e20
| h12(e12) = e20
| h12(e11) = e20
| h12(e10) = e20 )
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) )
| ( ( h11(e13) = e23
| h11(e12) = e23
| h11(e11) = e23
| h11(e10) = e23 )
& ( h11(e13) = e22
| h11(e12) = e22
| h11(e11) = e22
| h11(e10) = e22 )
& ( h11(e13) = e21
| h11(e12) = e21
| h11(e11) = e21
| h11(e10) = e21 )
& ( h11(e13) = e20
| h11(e12) = e20
| h11(e11) = e20
| h11(e10) = e20 )
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e10)) = op2(h11(e10),h11(e10)) )
| ( ( h10(e13) = e23
| h10(e12) = e23
| h10(e11) = e23
| h10(e10) = e23 )
& ( h10(e13) = e22
| h10(e12) = e22
| h10(e11) = e22
| h10(e10) = e22 )
& ( h10(e13) = e21
| h10(e12) = e21
| h10(e11) = e21
| h10(e10) = e21 )
& ( h10(e13) = e20
| h10(e12) = e20
| h10(e11) = e20
| h10(e10) = e20 )
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e10)) = op2(h10(e10),h10(e10)) )
| ( ( h9(e13) = e23
| h9(e12) = e23
| h9(e11) = e23
| h9(e10) = e23 )
& ( h9(e13) = e22
| h9(e12) = e22
| h9(e11) = e22
| h9(e10) = e22 )
& ( h9(e13) = e21
| h9(e12) = e21
| h9(e11) = e21
| h9(e10) = e21 )
& ( h9(e13) = e20
| h9(e12) = e20
| h9(e11) = e20
| h9(e10) = e20 )
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e10)) = op2(h9(e10),h9(e10)) )
| ( ( h8(e13) = e23
| h8(e12) = e23
| h8(e11) = e23
| h8(e10) = e23 )
& ( h8(e13) = e22
| h8(e12) = e22
| h8(e11) = e22
| h8(e10) = e22 )
& ( h8(e13) = e21
| h8(e12) = e21
| h8(e11) = e21
| h8(e10) = e21 )
& ( h8(e13) = e20
| h8(e12) = e20
| h8(e11) = e20
| h8(e10) = e20 )
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e10)) = op2(h8(e10),h8(e10)) )
| ( ( h7(e13) = e23
| h7(e12) = e23
| h7(e11) = e23
| h7(e10) = e23 )
& ( h7(e13) = e22
| h7(e12) = e22
| h7(e11) = e22
| h7(e10) = e22 )
& ( h7(e13) = e21
| h7(e12) = e21
| h7(e11) = e21
| h7(e10) = e21 )
& ( h7(e13) = e20
| h7(e12) = e20
| h7(e11) = e20
| h7(e10) = e20 )
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e10)) = op2(h7(e10),h7(e10)) )
| ( ( h6(e13) = e23
| h6(e12) = e23
| h6(e11) = e23
| h6(e10) = e23 )
& ( h6(e13) = e22
| h6(e12) = e22
| h6(e11) = e22
| h6(e10) = e22 )
& ( h6(e13) = e21
| h6(e12) = e21
| h6(e11) = e21
| h6(e10) = e21 )
& ( h6(e13) = e20
| h6(e12) = e20
| h6(e11) = e20
| h6(e10) = e20 )
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e10)) = op2(h6(e10),h6(e10)) )
| ( ( h5(e13) = e23
| h5(e12) = e23
| h5(e11) = e23
| h5(e10) = e23 )
& ( h5(e13) = e22
| h5(e12) = e22
| h5(e11) = e22
| h5(e10) = e22 )
& ( h5(e13) = e21
| h5(e12) = e21
| h5(e11) = e21
| h5(e10) = e21 )
& ( h5(e13) = e20
| h5(e12) = e20
| h5(e11) = e20
| h5(e10) = e20 )
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e10)) = op2(h5(e10),h5(e10)) )
| ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f45,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f97,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f103,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f106,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f109,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f125,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f141,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f145,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f148,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f149,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f156,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f157,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f162,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f167,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f168,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f169,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f170,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f172,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f173,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f176,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f181,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f196,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f198,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f204,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f220,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f221,plain,
e10 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f222,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f223,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f224,plain,
e11 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f225,plain,
e12 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f226,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f227,plain,
e20 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f228,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f229,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f230,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f231,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f248,definition,
( sP0_prd
<=> ( ( op1(e12,op1(e13,e12)) = op1(e13,e12)
& op1(e12,op1(e12,e12)) = op1(e12,e12)
& op1(e12,op1(e11,e12)) = op1(e11,e12)
& op1(e12,op1(e10,e12)) = op1(e10,e12) )
| ( op1(e11,op1(e13,e11)) = op1(e13,e11)
& op1(e11,op1(e12,e11)) = op1(e12,e11)
& op1(e11,op1(e11,e11)) = op1(e11,e11)
& op1(e11,op1(e10,e11)) = op1(e10,e11) )
| ( op1(e10,op1(e13,e10)) = op1(e13,e10)
& op1(e10,op1(e12,e10)) = op1(e12,e10)
& op1(e10,op1(e11,e10)) = op1(e11,e10)
& op1(e10,op1(e10,e10)) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f249,plain,
( ( ( op1(e13,op1(e13,e13)) = op1(e13,e13)
& op1(e13,op1(e12,e13)) = op1(e12,e13)
& op1(e13,op1(e11,e13)) = op1(e11,e13)
& op1(e13,op1(e10,e13)) = op1(e10,e13) )
| sP0_prd )
& op1(op1(e13,e13),e13) = e13
& op1(op1(e13,e12),e13) = e12
& op1(op1(e13,e11),e13) = e11
& op1(op1(e13,e10),e13) = e10
& op1(op1(e12,e13),e12) = e13
& op1(op1(e12,e12),e12) = e12
& op1(op1(e12,e11),e12) = e11
& op1(op1(e12,e10),e12) = e10
& op1(op1(e11,e13),e11) = e13
& op1(op1(e11,e12),e11) = e12
& op1(op1(e11,e11),e11) = e11
& op1(op1(e11,e10),e11) = e10
& op1(op1(e10,e13),e10) = e13
& op1(op1(e10,e12),e10) = e12
& op1(op1(e10,e11),e10) = e11
& op1(op1(e10,e10),e10) = e10 ),
inference(formula_renaming,[status(thm)],[f10,f248]) ).
fof(f250,plain,
op1(op1(e10,e10),e10) = e10,
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f251,plain,
op1(op1(e10,e11),e10) = e11,
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f253,plain,
op1(op1(e10,e13),e10) = e13,
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f255,plain,
op1(op1(e11,e11),e11) = e11,
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f258,plain,
op1(op1(e12,e10),e12) = e10,
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f259,plain,
op1(op1(e12,e11),e12) = e11,
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f260,plain,
op1(op1(e12,e12),e12) = e12,
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f261,plain,
op1(op1(e12,e13),e12) = e13,
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f263,plain,
op1(op1(e13,e11),e13) = e11,
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f264,plain,
op1(op1(e13,e12),e13) = e12,
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f265,plain,
op1(op1(e13,e13),e13) = e13,
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f267,plain,
( op1(e13,op1(e11,e13)) = op1(e11,e13)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f270,definition,
( sP1_prd
<=> ( ( op2(e22,op2(e23,e22)) = op2(e23,e22)
& op2(e22,op2(e22,e22)) = op2(e22,e22)
& op2(e22,op2(e21,e22)) = op2(e21,e22)
& op2(e22,op2(e20,e22)) = op2(e20,e22) )
| ( op2(e21,op2(e23,e21)) = op2(e23,e21)
& op2(e21,op2(e22,e21)) = op2(e22,e21)
& op2(e21,op2(e21,e21)) = op2(e21,e21)
& op2(e21,op2(e20,e21)) = op2(e20,e21) )
| ( op2(e20,op2(e23,e20)) = op2(e23,e20)
& op2(e20,op2(e22,e20)) = op2(e22,e20)
& op2(e20,op2(e21,e20)) = op2(e21,e20)
& op2(e20,op2(e20,e20)) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f271,plain,
( ( ( op2(e23,op2(e23,e23)) = op2(e23,e23)
& op2(e23,op2(e22,e23)) = op2(e22,e23)
& op2(e23,op2(e21,e23)) = op2(e21,e23)
& op2(e23,op2(e20,e23)) = op2(e20,e23) )
| sP1_prd )
& op2(op2(e23,e23),e23) = e23
& op2(op2(e23,e22),e23) = e22
& op2(op2(e23,e21),e23) = e21
& op2(op2(e23,e20),e23) = e20
& op2(op2(e22,e23),e22) = e23
& op2(op2(e22,e22),e22) = e22
& op2(op2(e22,e21),e22) = e21
& op2(op2(e22,e20),e22) = e20
& op2(op2(e21,e23),e21) = e23
& op2(op2(e21,e22),e21) = e22
& op2(op2(e21,e21),e21) = e21
& op2(op2(e21,e20),e21) = e20
& op2(op2(e20,e23),e20) = e23
& op2(op2(e20,e22),e20) = e22
& op2(op2(e20,e21),e20) = e21
& op2(op2(e20,e20),e20) = e20 ),
inference(formula_renaming,[status(thm)],[f11,f270]) ).
fof(f272,plain,
op2(op2(e20,e20),e20) = e20,
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f274,plain,
op2(op2(e20,e22),e20) = e22,
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f275,plain,
op2(op2(e20,e23),e20) = e23,
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f277,plain,
op2(op2(e21,e21),e21) = e21,
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f278,plain,
op2(op2(e21,e22),e21) = e22,
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f281,plain,
op2(op2(e22,e21),e22) = e21,
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f283,plain,
op2(op2(e22,e23),e22) = e23,
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f285,plain,
op2(op2(e23,e21),e23) = e21,
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f286,plain,
op2(op2(e23,e22),e23) = e22,
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f287,plain,
op2(op2(e23,e23),e23) = e23,
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f288,plain,
( op2(e23,op2(e20,e23)) = op2(e20,e23)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f292,plain,
e10 = op1(op1(e12,e11),op1(e12,e11)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f293,plain,
e13 = op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f294,plain,
e20 = op2(op2(e22,e21),op2(e22,e21)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f295,plain,
e23 = op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f299,plain,
h1(e13) = op2(e21,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f303,plain,
h2(e13) = op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f307,plain,
h3(e13) = op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f311,plain,
h4(e13) = op2(e20,e21),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f318,plain,
h6(e10) = op2(op2(e23,e21),op2(e23,e21)),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f319,plain,
h6(e13) = op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f323,plain,
h7(e13) = op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f327,plain,
h8(e13) = op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f328,plain,
h9(e11) = e22,
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f329,plain,
h9(e12) = e23,
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f330,plain,
h9(e10) = op2(op2(e23,e22),op2(e23,e22)),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f331,plain,
h9(e13) = op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f335,plain,
h10(e13) = op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f338,plain,
h11(e10) = op2(op2(e21,e23),op2(e21,e23)),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f339,plain,
h11(e13) = op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f343,plain,
h12(e13) = op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f344,plain,
( ( ( h12(e13) != e23
& h12(e12) != e23
& h12(e11) != e23
& h12(e10) != e23 )
| ( h12(e13) != e22
& h12(e12) != e22
& h12(e11) != e22
& h12(e10) != e22 )
| ( h12(e13) != e21
& h12(e12) != e21
& h12(e11) != e21
& h12(e10) != e21 )
| ( h12(e13) != e20
& h12(e12) != e20
& h12(e11) != e20
& h12(e10) != e20 )
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) )
& ( ( h11(e13) != e23
& h11(e12) != e23
& h11(e11) != e23
& h11(e10) != e23 )
| ( h11(e13) != e22
& h11(e12) != e22
& h11(e11) != e22
& h11(e10) != e22 )
| ( h11(e13) != e21
& h11(e12) != e21
& h11(e11) != e21
& h11(e10) != e21 )
| ( h11(e13) != e20
& h11(e12) != e20
& h11(e11) != e20
& h11(e10) != e20 )
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e10)) != op2(h11(e10),h11(e10)) )
& ( ( h10(e13) != e23
& h10(e12) != e23
& h10(e11) != e23
& h10(e10) != e23 )
| ( h10(e13) != e22
& h10(e12) != e22
& h10(e11) != e22
& h10(e10) != e22 )
| ( h10(e13) != e21
& h10(e12) != e21
& h10(e11) != e21
& h10(e10) != e21 )
| ( h10(e13) != e20
& h10(e12) != e20
& h10(e11) != e20
& h10(e10) != e20 )
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e10)) != op2(h10(e10),h10(e10)) )
& ( ( h9(e13) != e23
& h9(e12) != e23
& h9(e11) != e23
& h9(e10) != e23 )
| ( h9(e13) != e22
& h9(e12) != e22
& h9(e11) != e22
& h9(e10) != e22 )
| ( h9(e13) != e21
& h9(e12) != e21
& h9(e11) != e21
& h9(e10) != e21 )
| ( h9(e13) != e20
& h9(e12) != e20
& h9(e11) != e20
& h9(e10) != e20 )
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) )
& ( ( h8(e13) != e23
& h8(e12) != e23
& h8(e11) != e23
& h8(e10) != e23 )
| ( h8(e13) != e22
& h8(e12) != e22
& h8(e11) != e22
& h8(e10) != e22 )
| ( h8(e13) != e21
& h8(e12) != e21
& h8(e11) != e21
& h8(e10) != e21 )
| ( h8(e13) != e20
& h8(e12) != e20
& h8(e11) != e20
& h8(e10) != e20 )
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e10)) != op2(h8(e10),h8(e10)) )
& ( ( h7(e13) != e23
& h7(e12) != e23
& h7(e11) != e23
& h7(e10) != e23 )
| ( h7(e13) != e22
& h7(e12) != e22
& h7(e11) != e22
& h7(e10) != e22 )
| ( h7(e13) != e21
& h7(e12) != e21
& h7(e11) != e21
& h7(e10) != e21 )
| ( h7(e13) != e20
& h7(e12) != e20
& h7(e11) != e20
& h7(e10) != e20 )
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e10)) != op2(h7(e10),h7(e10)) )
& ( ( h6(e13) != e23
& h6(e12) != e23
& h6(e11) != e23
& h6(e10) != e23 )
| ( h6(e13) != e22
& h6(e12) != e22
& h6(e11) != e22
& h6(e10) != e22 )
| ( h6(e13) != e21
& h6(e12) != e21
& h6(e11) != e21
& h6(e10) != e21 )
| ( h6(e13) != e20
& h6(e12) != e20
& h6(e11) != e20
& h6(e10) != e20 )
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e10)) != op2(h6(e10),h6(e10)) )
& ( ( h5(e13) != e23
& h5(e12) != e23
& h5(e11) != e23
& h5(e10) != e23 )
| ( h5(e13) != e22
& h5(e12) != e22
& h5(e11) != e22
& h5(e10) != e22 )
| ( h5(e13) != e21
& h5(e12) != e21
& h5(e11) != e21
& h5(e10) != e21 )
| ( h5(e13) != e20
& h5(e12) != e20
& h5(e11) != e20
& h5(e10) != e20 )
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
& ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f345,definition,
( sP2_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f346,definition,
( sP3_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f347,definition,
( sP4_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f348,definition,
( sP5_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f349,definition,
( sP6_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f350,definition,
( sP7_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f351,definition,
( sP8_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f352,definition,
( sP9_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f353,definition,
( sP10_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f354,definition,
( sP11_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f355,definition,
( sP12_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f356,definition,
( sP13_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f357,definition,
( sP14_prd
<=> ( h5(e13) != e20
& h5(e12) != e20
& h5(e11) != e20
& h5(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f358,definition,
( sP15_prd
<=> ( h5(e13) != e21
& h5(e12) != e21
& h5(e11) != e21
& h5(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f359,definition,
( sP16_prd
<=> ( h5(e13) != e22
& h5(e12) != e22
& h5(e11) != e22
& h5(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f360,definition,
( sP17_prd
<=> ( h6(e13) != e20
& h6(e12) != e20
& h6(e11) != e20
& h6(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f361,definition,
( sP18_prd
<=> ( h6(e13) != e21
& h6(e12) != e21
& h6(e11) != e21
& h6(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f362,definition,
( sP19_prd
<=> ( h6(e13) != e22
& h6(e12) != e22
& h6(e11) != e22
& h6(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f363,definition,
( sP20_prd
<=> ( h7(e13) != e20
& h7(e12) != e20
& h7(e11) != e20
& h7(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f364,definition,
( sP21_prd
<=> ( h7(e13) != e21
& h7(e12) != e21
& h7(e11) != e21
& h7(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f365,definition,
( sP22_prd
<=> ( h7(e13) != e22
& h7(e12) != e22
& h7(e11) != e22
& h7(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f366,definition,
( sP23_prd
<=> ( h8(e13) != e20
& h8(e12) != e20
& h8(e11) != e20
& h8(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f367,definition,
( sP24_prd
<=> ( h8(e13) != e21
& h8(e12) != e21
& h8(e11) != e21
& h8(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f368,definition,
( sP25_prd
<=> ( h8(e13) != e22
& h8(e12) != e22
& h8(e11) != e22
& h8(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f369,definition,
( sP26_prd
<=> ( h9(e13) != e20
& h9(e12) != e20
& h9(e11) != e20
& h9(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f370,definition,
( sP27_prd
<=> ( h9(e13) != e21
& h9(e12) != e21
& h9(e11) != e21
& h9(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f371,definition,
( sP28_prd
<=> ( h9(e13) != e22
& h9(e12) != e22
& h9(e11) != e22
& h9(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f372,definition,
( sP29_prd
<=> ( h10(e13) != e20
& h10(e12) != e20
& h10(e11) != e20
& h10(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f373,definition,
( sP30_prd
<=> ( h10(e13) != e21
& h10(e12) != e21
& h10(e11) != e21
& h10(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f374,definition,
( sP31_prd
<=> ( h10(e13) != e22
& h10(e12) != e22
& h10(e11) != e22
& h10(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f375,definition,
( sP32_prd
<=> ( h11(e13) != e20
& h11(e12) != e20
& h11(e11) != e20
& h11(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f376,definition,
( sP33_prd
<=> ( h11(e13) != e21
& h11(e12) != e21
& h11(e11) != e21
& h11(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f377,definition,
( sP34_prd
<=> ( h11(e13) != e22
& h11(e12) != e22
& h11(e11) != e22
& h11(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f378,definition,
( sP35_prd
<=> ( h12(e13) != e20
& h12(e12) != e20
& h12(e11) != e20
& h12(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f379,definition,
( sP36_prd
<=> ( h12(e13) != e21
& h12(e12) != e21
& h12(e11) != e21
& h12(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f380,definition,
( sP37_prd
<=> ( h12(e13) != e22
& h12(e12) != e22
& h12(e11) != e22
& h12(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f381,plain,
( ( ( h12(e13) != e23
& h12(e12) != e23
& h12(e11) != e23
& h12(e10) != e23 )
| sP37_prd
| sP36_prd
| sP35_prd
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) )
& ( ( h11(e13) != e23
& h11(e12) != e23
& h11(e11) != e23
& h11(e10) != e23 )
| sP34_prd
| sP33_prd
| sP32_prd
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e10)) != op2(h11(e10),h11(e10)) )
& ( ( h10(e13) != e23
& h10(e12) != e23
& h10(e11) != e23
& h10(e10) != e23 )
| sP31_prd
| sP30_prd
| sP29_prd
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e10)) != op2(h10(e10),h10(e10)) )
& ( ( h9(e13) != e23
& h9(e12) != e23
& h9(e11) != e23
& h9(e10) != e23 )
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) )
& ( ( h8(e13) != e23
& h8(e12) != e23
& h8(e11) != e23
& h8(e10) != e23 )
| sP25_prd
| sP24_prd
| sP23_prd
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e10)) != op2(h8(e10),h8(e10)) )
& ( ( h7(e13) != e23
& h7(e12) != e23
& h7(e11) != e23
& h7(e10) != e23 )
| sP22_prd
| sP21_prd
| sP20_prd
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e10)) != op2(h7(e10),h7(e10)) )
& ( ( h6(e13) != e23
& h6(e12) != e23
& h6(e11) != e23
& h6(e10) != e23 )
| sP19_prd
| sP18_prd
| sP17_prd
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e10)) != op2(h6(e10),h6(e10)) )
& ( ( h5(e13) != e23
& h5(e12) != e23
& h5(e11) != e23
& h5(e10) != e23 )
| sP16_prd
| sP15_prd
| sP14_prd
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
& ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP13_prd
| sP12_prd
| sP11_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| sP10_prd
| sP9_prd
| sP8_prd
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| sP7_prd
| sP6_prd
| sP5_prd
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| sP4_prd
| sP3_prd
| sP2_prd
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(formula_renaming,[status(thm)],[f344,f380,f379,f378,f377,f376,f375,f374,f373,f372,f371,f370,f369,f368,f367,f366,f365,f364,f363,f362,f361,f360,f359,f358,f357,f356,f355,f354,f353,f352,f351,f350,f349,f348,f347,f346,f345]) ).
fof(f416,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f430,definition,
( sP38_prd
<=> ( ( op1(e11,op1(e13,e11)) = op1(e13,e11)
& op1(e11,op1(e12,e11)) = op1(e12,e11)
& op1(e11,op1(e11,e11)) = op1(e11,e11)
& op1(e11,op1(e10,e11)) = op1(e10,e11) )
| ( op1(e10,op1(e13,e10)) = op1(e13,e10)
& op1(e10,op1(e12,e10)) = op1(e12,e10)
& op1(e10,op1(e11,e10)) = op1(e11,e10)
& op1(e10,op1(e10,e10)) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f431,plain,
( sP0_prd
<=> ( ( op1(e12,op1(e13,e12)) = op1(e13,e12)
& op1(e12,op1(e12,e12)) = op1(e12,e12)
& op1(e12,op1(e11,e12)) = op1(e11,e12)
& op1(e12,op1(e10,e12)) = op1(e10,e12) )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f248,f430]) ).
fof(f432,plain,
( ( ( ( op1(e12,op1(e13,e12)) != op1(e13,e12)
| op1(e12,op1(e12,e12)) != op1(e12,e12)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e12,op1(e10,e12)) != op1(e10,e12) )
& ~ sP38_prd )
| sP0_prd )
& ( ( op1(e12,op1(e13,e12)) = op1(e13,e12)
& op1(e12,op1(e12,e12)) = op1(e12,e12)
& op1(e12,op1(e11,e12)) = op1(e11,e12)
& op1(e12,op1(e10,e12)) = op1(e10,e12) )
| sP38_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f431]) ).
fof(f436,plain,
( op1(e12,op1(e13,e12)) = op1(e13,e12)
| sP38_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f439,definition,
( sP39_prd
<=> ( ( op2(e21,op2(e23,e21)) = op2(e23,e21)
& op2(e21,op2(e22,e21)) = op2(e22,e21)
& op2(e21,op2(e21,e21)) = op2(e21,e21)
& op2(e21,op2(e20,e21)) = op2(e20,e21) )
| ( op2(e20,op2(e23,e20)) = op2(e23,e20)
& op2(e20,op2(e22,e20)) = op2(e22,e20)
& op2(e20,op2(e21,e20)) = op2(e21,e20)
& op2(e20,op2(e20,e20)) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f440,plain,
( sP1_prd
<=> ( ( op2(e22,op2(e23,e22)) = op2(e23,e22)
& op2(e22,op2(e22,e22)) = op2(e22,e22)
& op2(e22,op2(e21,e22)) = op2(e21,e22)
& op2(e22,op2(e20,e22)) = op2(e20,e22) )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f270,f439]) ).
fof(f441,plain,
( ( ( ( op2(e22,op2(e23,e22)) != op2(e23,e22)
| op2(e22,op2(e22,e22)) != op2(e22,e22)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e22,op2(e20,e22)) != op2(e20,e22) )
& ~ sP39_prd )
| sP1_prd )
& ( ( op2(e22,op2(e23,e22)) = op2(e23,e22)
& op2(e22,op2(e22,e22)) = op2(e22,e22)
& op2(e22,op2(e21,e22)) = op2(e21,e22)
& op2(e22,op2(e20,e22)) = op2(e20,e22) )
| sP39_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f440]) ).
fof(f445,plain,
( op2(e22,op2(e23,e22)) = op2(e23,e22)
| sP39_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f592,plain,
( ( h9(e13) = e20
| h9(e12) = e20
| h9(e11) = e20
| h9(e10) = e20
| sP26_prd )
& ( ( h9(e13) != e20
& h9(e12) != e20
& h9(e11) != e20
& h9(e10) != e20 )
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f369]) ).
fof(f593,plain,
( h9(e10) != e20
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f592]) ).
fof(f598,plain,
( ( h9(e13) = e21
| h9(e12) = e21
| h9(e11) = e21
| h9(e10) = e21
| sP27_prd )
& ( ( h9(e13) != e21
& h9(e12) != e21
& h9(e11) != e21
& h9(e10) != e21 )
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f370]) ).
fof(f602,plain,
( h9(e13) != e21
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f598]) ).
fof(f604,plain,
( ( h9(e13) = e22
| h9(e12) = e22
| h9(e11) = e22
| h9(e10) = e22
| sP28_prd )
& ( ( h9(e13) != e22
& h9(e12) != e22
& h9(e11) != e22
& h9(e10) != e22 )
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f371]) ).
fof(f606,plain,
( h9(e11) != e22
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f604]) ).
fof(f664,definition,
( sP40_prd
<=> ( op1(e10,op1(e13,e10)) = op1(e13,e10)
& op1(e10,op1(e12,e10)) = op1(e12,e10)
& op1(e10,op1(e11,e10)) = op1(e11,e10)
& op1(e10,op1(e10,e10)) = op1(e10,e10) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f665,plain,
( sP38_prd
<=> ( ( op1(e11,op1(e13,e11)) = op1(e13,e11)
& op1(e11,op1(e12,e11)) = op1(e12,e11)
& op1(e11,op1(e11,e11)) = op1(e11,e11)
& op1(e11,op1(e10,e11)) = op1(e10,e11) )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f430,f664]) ).
fof(f666,plain,
( ( ( ( op1(e11,op1(e13,e11)) != op1(e13,e11)
| op1(e11,op1(e12,e11)) != op1(e12,e11)
| op1(e11,op1(e11,e11)) != op1(e11,e11)
| op1(e11,op1(e10,e11)) != op1(e10,e11) )
& ~ sP40_prd )
| sP38_prd )
& ( ( op1(e11,op1(e13,e11)) = op1(e13,e11)
& op1(e11,op1(e12,e11)) = op1(e12,e11)
& op1(e11,op1(e11,e11)) = op1(e11,e11)
& op1(e11,op1(e10,e11)) = op1(e10,e11) )
| sP40_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f665]) ).
fof(f669,plain,
( op1(e11,op1(e12,e11)) = op1(e12,e11)
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f673,definition,
( sP41_prd
<=> ( op2(e20,op2(e23,e20)) = op2(e23,e20)
& op2(e20,op2(e22,e20)) = op2(e22,e20)
& op2(e20,op2(e21,e20)) = op2(e21,e20)
& op2(e20,op2(e20,e20)) = op2(e20,e20) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f674,plain,
( sP39_prd
<=> ( ( op2(e21,op2(e23,e21)) = op2(e23,e21)
& op2(e21,op2(e22,e21)) = op2(e22,e21)
& op2(e21,op2(e21,e21)) = op2(e21,e21)
& op2(e21,op2(e20,e21)) = op2(e20,e21) )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f439,f673]) ).
fof(f675,plain,
( ( ( ( op2(e21,op2(e23,e21)) != op2(e23,e21)
| op2(e21,op2(e22,e21)) != op2(e22,e21)
| op2(e21,op2(e21,e21)) != op2(e21,e21)
| op2(e21,op2(e20,e21)) != op2(e20,e21) )
& ~ sP41_prd )
| sP39_prd )
& ( ( op2(e21,op2(e23,e21)) = op2(e23,e21)
& op2(e21,op2(e22,e21)) = op2(e22,e21)
& op2(e21,op2(e21,e21)) = op2(e21,e21)
& op2(e21,op2(e20,e21)) = op2(e20,e21) )
| sP41_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f674]) ).
fof(f678,plain,
( op2(e21,op2(e22,e21)) = op2(e22,e21)
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f675]) ).
fof(f682,plain,
( ( op1(e10,op1(e13,e10)) != op1(e13,e10)
| op1(e10,op1(e12,e10)) != op1(e12,e10)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| sP40_prd )
& ( ( op1(e10,op1(e13,e10)) = op1(e13,e10)
& op1(e10,op1(e12,e10)) = op1(e12,e10)
& op1(e10,op1(e11,e10)) = op1(e11,e10)
& op1(e10,op1(e10,e10)) = op1(e10,e10) )
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f664]) ).
fof(f683,plain,
( op1(e10,op1(e10,e10)) = op1(e10,e10)
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f682]) ).
fof(f688,plain,
( ( op2(e20,op2(e23,e20)) != op2(e23,e20)
| op2(e20,op2(e22,e20)) != op2(e22,e20)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e20,op2(e20,e20)) != op2(e20,e20)
| sP41_prd )
& ( ( op2(e20,op2(e23,e20)) = op2(e23,e20)
& op2(e20,op2(e22,e20)) = op2(e22,e20)
& op2(e20,op2(e21,e20)) = op2(e21,e20)
& op2(e20,op2(e20,e20)) = op2(e20,e20) )
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f673]) ).
fof(f690,plain,
( op2(e20,op2(e21,e20)) = op2(e21,e20)
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f688]) ).
fof(f691,plain,
( op2(e20,op2(e22,e20)) = op2(e22,e20)
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f688]) ).
fof(f849,plain,
( op1(e13,e11) = e10
| e13 = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(backward_demodulation,[status(thm)],[f293,f53]) ).
fof(f852,plain,
( op1(e13,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[f849,f222]) ).
fof(f853,plain,
( op1(e13,e11) = e11
| e13 = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(forward_demodulation,[status(thm)],[f293,f55]) ).
fof(f854,plain,
( op1(e13,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[f853,f224]) ).
fof(f859,plain,
( op1(e13,e11) = e12
| e13 = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f293,f57]) ).
fof(f860,plain,
( op1(e13,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[f859,f225]) ).
fof(f905,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| e13 = e11
| op1(e12,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f293,f62]) ).
fof(f906,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e10) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[f905,f224]) ).
fof(f937,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| e13 = e12
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f293,f64]) ).
fof(f938,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[f937,f225]) ).
fof(f1213,plain,
( e22 != e22
| ~ sP28_prd ),
inference(forward_demodulation,[status(thm)],[f328,f606]) ).
fof(f1214,plain,
~ sP28_prd,
inference(trivial_equality_resolution,[status(thm)],[f1213]) ).
fof(f1288,plain,
( op2(e23,e21) = e21
| e23 = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(forward_demodulation,[status(thm)],[f295,f103]) ).
fof(f1289,plain,
( op2(e23,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f1288,f230]) ).
fof(f1387,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| h1(e13) = e23 ),
inference(backward_demodulation,[status(thm)],[f299,f106]) ).
fof(f1390,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| h1(e13) = e21 ),
inference(backward_demodulation,[status(thm)],[f299,f102]) ).
fof(f1391,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| h1(e13) = e20 ),
inference(backward_demodulation,[status(thm)],[f299,f100]) ).
fof(f1393,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| h1(e13) = e22
| op2(e20,e20) = e22 ),
inference(backward_demodulation,[status(thm)],[f299,f97]) ).
fof(f1420,plain,
( op2(e23,e21) = e21
| op2(e21,e21) = e21
| h4(e13) = e21 ),
inference(backward_demodulation,[status(thm)],[f311,f1289]) ).
fof(f1423,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| h4(e13) = e22
| op2(e20,e20) = e22 ),
inference(backward_demodulation,[status(thm)],[f311,f96]) ).
fof(f1452,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| h7(e13) = e20 ),
inference(backward_demodulation,[status(thm)],[f323,f109]) ).
fof(f1775,plain,
op2(e20,e20) != h1(e13),
inference(forward_demodulation,[status(thm)],[f299,f172]) ).
fof(f1777,plain,
op2(e20,e20) != h2(e13),
inference(forward_demodulation,[status(thm)],[f303,f173]) ).
fof(f1814,plain,
h1(e13) != op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f299,f176]) ).
fof(f1815,plain,
h1(e13) != h3(e13),
inference(forward_demodulation,[status(thm)],[f307,f1814]) ).
fof(f1829,plain,
op2(e21,e21) != e23,
inference(forward_demodulation,[status(thm)],[f295,f181]) ).
fof(f1890,plain,
op2(e20,e20) != h4(e13),
inference(forward_demodulation,[status(thm)],[f311,f196]) ).
fof(f1894,plain,
op2(e20,e20) != h10(e13),
inference(forward_demodulation,[status(thm)],[f335,f198]) ).
fof(f1908,plain,
h1(e13) != op2(e21,e23),
inference(forward_demodulation,[status(thm)],[f299,f204]) ).
fof(f1909,plain,
h1(e13) != h11(e13),
inference(forward_demodulation,[status(thm)],[f339,f1908]) ).
fof(f2011,plain,
( op1(e13,e11) = e12
| op1(e10,e11) = e12
| op1(e12,e11) = e11 ),
inference(paramodulation,[status(thm)],[f860,f255]) ).
fof(f2013,plain,
( op1(e13,e11) = e12
| op1(e10,e11) = e12
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f293,f2011]) ).
fof(f2014,plain,
( op1(e13,e11) = e12
| op1(e10,e11) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[f2013,f224]) ).
fof(f2027,plain,
op1(e13,e11) != e11,
inference(backward_demodulation,[status(thm)],[f2040,f169]) ).
fof(f2028,plain,
op1(e13,e10) != e11,
inference(backward_demodulation,[status(thm)],[f2040,f167]) ).
fof(f2029,plain,
op1(e12,e12) != e11,
inference(backward_demodulation,[status(thm)],[f2040,f141]) ).
fof(f2040,plain,
op1(e13,e12) = e11,
inference(forward_demodulation,[status(thm)],[f293,f259]) ).
fof(f2053,plain,
( op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(backward_subsumption_resolution,[status(thm)],[f854,f2027]) ).
fof(f2054,plain,
( op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(backward_subsumption_resolution,[status(thm)],[f47,f2028]) ).
fof(f2089,plain,
( op1(e12,e13) = e11
| op1(e12,e10) = e11 ),
inference(backward_subsumption_resolution,[status(thm)],[f906,f2029]) ).
fof(f2099,plain,
op1(e11,e10) != e12,
inference(backward_demodulation,[status(thm)],[f2108,f156]) ).
fof(f2101,plain,
e12 != op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f2108,f145]) ).
fof(f2108,plain,
op1(e11,e13) = e12,
inference(forward_demodulation,[status(thm)],[f2040,f264]) ).
fof(f2114,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e10,e10) = e12 ),
inference(backward_subsumption_resolution,[status(thm)],[f49,f2099]) ).
fof(f2117,plain,
( op1(e12,e12) = e12
| op1(e12,e10) = e12 ),
inference(backward_subsumption_resolution,[status(thm)],[f938,f2101]) ).
fof(f2120,plain,
( op1(e13,e12) = op1(e11,e13)
| sP0_prd ),
inference(forward_demodulation,[status(thm)],[f2108,f267]) ).
fof(f2121,plain,
( e11 = op1(e11,e13)
| sP0_prd ),
inference(forward_demodulation,[status(thm)],[f2040,f2120]) ).
fof(f2122,plain,
( e11 = e12
| sP0_prd ),
inference(forward_demodulation,[status(thm)],[f2108,f2121]) ).
fof(f2123,plain,
sP0_prd,
inference(forward_subsumption_resolution,[status(thm)],[f2122,f223]) ).
fof(f2158,plain,
op2(h7(e13),e20) = e22,
inference(forward_demodulation,[status(thm)],[f323,f274]) ).
fof(f2161,plain,
op2(h10(e13),e20) = e23,
inference(forward_demodulation,[status(thm)],[f335,f275]) ).
fof(f2163,plain,
op2(h8(e13),e21) = e22,
inference(forward_demodulation,[status(thm)],[f327,f278]) ).
fof(f2168,plain,
op2(e23,e22) = e21,
inference(forward_demodulation,[status(thm)],[f295,f281]) ).
fof(f2178,plain,
e21 = op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f2181,f331]) ).
fof(f2179,plain,
( e21 != e21
| ~ sP27_prd ),
inference(backward_demodulation,[status(thm)],[f2181,f602]) ).
fof(f2181,plain,
h9(e13) = e21,
inference(forward_demodulation,[status(thm)],[f331,f2168]) ).
fof(f2184,plain,
~ sP27_prd,
inference(trivial_equality_resolution,[status(thm)],[f2179]) ).
fof(f2185,plain,
op2(h12(e13),e22) = e23,
inference(forward_demodulation,[status(thm)],[f343,f283]) ).
fof(f2222,plain,
op2(h6(e13),e23) = e21,
inference(forward_demodulation,[status(thm)],[f319,f285]) ).
fof(f2225,plain,
op2(e21,e23) = e22,
inference(forward_demodulation,[status(thm)],[f2178,f286]) ).
fof(f2229,plain,
h1(e13) != e22,
inference(backward_demodulation,[status(thm)],[f2237,f1909]) ).
fof(f2234,plain,
e22 = op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f2237,f339]) ).
fof(f2237,plain,
h11(e13) = e22,
inference(forward_demodulation,[status(thm)],[f339,f2225]) ).
fof(f2239,plain,
( op2(e23,h10(e13)) = op2(e20,e23)
| sP1_prd ),
inference(forward_demodulation,[status(thm)],[f335,f288]) ).
fof(f2240,plain,
( op2(e23,h10(e13)) = h10(e13)
| sP1_prd ),
inference(forward_demodulation,[status(thm)],[f335,f2239]) ).
fof(f2276,plain,
e10 = op1(e13,op1(e12,e11)),
inference(forward_demodulation,[status(thm)],[f293,f292]) ).
fof(f2279,plain,
op1(e10,e13) = e13,
inference(backward_demodulation,[status(thm)],[f2285,f265]) ).
fof(f2281,plain,
op1(e13,e11) != e10,
inference(backward_demodulation,[status(thm)],[f2285,f170]) ).
fof(f2282,plain,
op1(e13,e10) != e10,
inference(backward_demodulation,[status(thm)],[f2285,f168]) ).
fof(f2285,plain,
e10 = op1(e13,e13),
inference(forward_demodulation,[status(thm)],[f293,f2276]) ).
fof(f2287,plain,
e20 = op2(e23,op2(e22,e21)),
inference(forward_demodulation,[status(thm)],[f295,f294]) ).
fof(f2288,plain,
op2(e20,e23) = e23,
inference(backward_demodulation,[status(thm)],[f2294,f287]) ).
fof(f2294,plain,
e20 = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f295,f2287]) ).
fof(f2295,plain,
h10(e13) = e23,
inference(forward_demodulation,[status(thm)],[f335,f2288]) ).
fof(f2297,plain,
( op2(e23,h10(e13)) = e23
| sP1_prd ),
inference(backward_demodulation,[status(thm)],[f2295,f2240]) ).
fof(f2298,plain,
op2(e23,e20) = e23,
inference(backward_demodulation,[status(thm)],[f2295,f2161]) ).
fof(f2301,plain,
op2(e20,e20) != e23,
inference(backward_demodulation,[status(thm)],[f2295,f1894]) ).
fof(f2303,plain,
e23 = op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f2295,f335]) ).
fof(f2305,plain,
( op2(e23,e23) = e23
| sP1_prd ),
inference(forward_demodulation,[status(thm)],[f2295,f2297]) ).
fof(f2306,plain,
( e20 = e23
| sP1_prd ),
inference(forward_demodulation,[status(thm)],[f2294,f2305]) ).
fof(f2307,plain,
sP1_prd,
inference(forward_subsumption_resolution,[status(thm)],[f2306,f228]) ).
fof(f2308,plain,
h3(e13) = e23,
inference(forward_demodulation,[status(thm)],[f307,f2298]) ).
fof(f2353,plain,
h1(e13) != e23,
inference(backward_demodulation,[status(thm)],[f2308,f1815]) ).
fof(f2356,plain,
e23 = op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f2308,f307]) ).
fof(f2364,plain,
op1(e13,e10) = e13,
inference(backward_demodulation,[status(thm)],[f2279,f253]) ).
fof(f2371,plain,
( op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(backward_subsumption_resolution,[status(thm)],[f45,f2282]) ).
fof(f2381,plain,
h6(e10) = op2(h6(e13),op2(e23,e21)),
inference(forward_demodulation,[status(thm)],[f319,f318]) ).
fof(f2382,plain,
h6(e10) = op2(h6(e13),h6(e13)),
inference(forward_demodulation,[status(thm)],[f319,f2381]) ).
fof(f2413,plain,
( op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(backward_subsumption_resolution,[status(thm)],[f76,f2301]) ).
fof(f2437,plain,
h9(e10) = op2(e21,op2(e23,e22)),
inference(forward_demodulation,[status(thm)],[f2178,f330]) ).
fof(f2439,plain,
op2(h9(e10),e21) = e21,
inference(backward_demodulation,[status(thm)],[f2445,f277]) ).
fof(f2443,plain,
h9(e10) != e23,
inference(backward_demodulation,[status(thm)],[f2445,f1829]) ).
fof(f2445,plain,
h9(e10) = op2(e21,e21),
inference(forward_demodulation,[status(thm)],[f2178,f2437]) ).
fof(f2451,plain,
h11(e10) = op2(e22,op2(e21,e23)),
inference(forward_demodulation,[status(thm)],[f2234,f338]) ).
fof(f2459,plain,
h11(e10) = op2(e22,e22),
inference(forward_demodulation,[status(thm)],[f2234,f2451]) ).
fof(f2555,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f328,f416]) ).
fof(f2556,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f329,f2555]) ).
fof(f2557,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(e13) != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2279,f2556]) ).
fof(f2558,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| e21 != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2181,f2557]) ).
fof(f2559,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2181,f2558]) ).
fof(f2560,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f328,f2559]) ).
fof(f2561,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(e22,h9(e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f328,f2560]) ).
fof(f2562,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(e22,e22)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f328,f2561]) ).
fof(f2563,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2459,f2562]) ).
fof(f2564,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f328,f2563]) ).
fof(f2565,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(e22,e23)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f329,f2564]) ).
fof(f2566,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f343,f2565]) ).
fof(f2567,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(e12) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2108,f2566]) ).
fof(f2568,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| e23 != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f329,f2567]) ).
fof(f2569,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| e23 != op2(e22,h9(e13))
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f328,f2568]) ).
fof(f2570,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| e23 != op2(e22,e21)
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2181,f2569]) ).
fof(f2571,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f295,f2570]) ).
fof(f2572,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f329,f2571]) ).
fof(f2573,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(e13) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f293,f2572]) ).
fof(f2574,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| e21 != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2181,f2573]) ).
fof(f2575,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| e21 != op2(e23,h9(e11))
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f329,f2574]) ).
fof(f2576,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| e21 != op2(e23,e22)
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f328,f2575]) ).
fof(f2577,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2178,f2576]) ).
fof(f2578,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(e23,h9(e12))
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f329,f2577]) ).
fof(f2579,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(e23,e23)
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f329,f2578]) ).
fof(f2580,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2294,f2579]) ).
fof(f2581,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(e23,h9(e13))
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f329,f2580]) ).
fof(f2582,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(e23,e21)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2181,f2581]) ).
fof(f2583,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f319,f2582]) ).
fof(f2584,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(e13) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2364,f2583]) ).
fof(f2585,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| e21 != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2181,f2584]) ).
fof(f2586,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2181,f2585]) ).
fof(f2587,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(e21,h9(e11))
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2181,f2586]) ).
fof(f2588,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(e21,e22)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f328,f2587]) ).
fof(f2589,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f327,f2588]) ).
fof(f2590,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(e11) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2040,f2589]) ).
fof(f2591,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e22 != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f328,f2590]) ).
fof(f2592,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e22 != op2(e21,h9(e12))
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2181,f2591]) ).
fof(f2593,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e22 != op2(e21,e23)
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f329,f2592]) ).
fof(f2594,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e22 != e22
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2234,f2593]) ).
fof(f2595,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(e10) != op2(h9(e13),h9(e13))
| e22 != e22
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2285,f2594]) ).
fof(f2596,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(e10) != op2(e21,h9(e13))
| e22 != e22
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2181,f2595]) ).
fof(f2597,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(e10) != op2(e21,e21)
| e22 != e22
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2181,f2596]) ).
fof(f2598,plain,
( h9(e12) != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(e10) != h9(e10)
| e22 != e22
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f2445,f2597]) ).
fof(f2599,plain,
( e23 != e23
| sP28_prd
| sP27_prd
| sP26_prd
| h9(e10) != h9(e10)
| e22 != e22
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f329,f2598]) ).
fof(f2600,plain,
( sP28_prd
| sP27_prd
| sP26_prd
| h9(e10) != h9(e10)
| e22 != e22
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| e21 != e21
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e23 != e23
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(duplicate_literals_removal,[status(thm)],[f2599]) ).
fof(f2601,plain,
( sP28_prd
| sP27_prd
| sP26_prd
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(trivial_equality_resolution,[status(thm)],[f2600]) ).
fof(f2602,plain,
( sP28_prd
| sP26_prd
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != op2(h9(e10),e21)
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2601,f2184]) ).
fof(f2898,plain,
( sP28_prd
| sP26_prd
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| e21 != e21
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(backward_demodulation,[status(thm)],[f2439,f2602]) ).
fof(f2899,plain,
( sP28_prd
| sP26_prd
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(trivial_equality_resolution,[status(thm)],[f2898]) ).
fof(f2900,plain,
( sP26_prd
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != h6(e13)
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2899,f1214]) ).
fof(f2901,plain,
( op1(e13,e11) = e12
| op1(e12,e10) = e11 ),
inference(paramodulation,[status(thm)],[f2014,f251]) ).
fof(f2913,plain,
( op1(e12,e10) = e11
| op1(e11,e12) = e13 ),
inference(paramodulation,[status(thm)],[f2089,f261]) ).
fof(f3113,plain,
( op1(e12,e12) = e12
| op1(e12,e12) = e10 ),
inference(paramodulation,[status(thm)],[f2117,f258]) ).
fof(f3117,plain,
( op1(e12,e12) = e12
| op1(e10,e10) != e12 ),
inference(paramodulation,[status(thm)],[f2117,f125]) ).
fof(f3127,plain,
( op1(e13,e11) = e12
| op1(e11,e12) = e10 ),
inference(paramodulation,[status(thm)],[f2901,f258]) ).
fof(f3205,plain,
( op1(e11,e12) = e13
| e11 != op1(e12,e13) ),
inference(paramodulation,[status(thm)],[f2913,f162]) ).
fof(f3214,plain,
( op1(e12,e12) = e12
| op1(e10,e12) = e12 ),
inference(paramodulation,[status(thm)],[f3113,f260]) ).
fof(f3345,plain,
( op1(e13,e11) = e12
| op1(e11,e11) != e10 ),
inference(paramodulation,[status(thm)],[f3127,f157]) ).
fof(f3363,plain,
( op1(e12,e11) = op1(e13,e12)
| sP38_prd
| ~ sP0_prd ),
inference(forward_demodulation,[status(thm)],[f2040,f436]) ).
fof(f3364,plain,
( e13 = op1(e13,e12)
| sP38_prd
| ~ sP0_prd ),
inference(forward_demodulation,[status(thm)],[f293,f3363]) ).
fof(f3365,plain,
( e13 = e11
| sP38_prd
| ~ sP0_prd ),
inference(forward_demodulation,[status(thm)],[f2040,f3364]) ).
fof(f3366,plain,
( e13 = e11
| sP38_prd ),
inference(forward_subsumption_resolution,[status(thm)],[f3365,f2123]) ).
fof(f3433,plain,
( op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[f852,f2281]) ).
fof(f3434,plain,
( op1(e13,e11) = e12
| op1(e11,e11) = e10
| e12 = e10 ),
inference(paramodulation,[status(thm)],[f2014,f3433]) ).
fof(f3436,plain,
( op1(e11,e11) = e10
| op1(e10,e10) = e11 ),
inference(paramodulation,[status(thm)],[f3433,f251]) ).
fof(f3440,plain,
( op1(e13,e11) = e12
| op1(e11,e11) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[f3434,f221]) ).
fof(f3564,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| h9(e10) = e23
| h1(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f2445,f1387]) ).
fof(f3565,plain,
( op2(e21,e23) = e23
| h8(e13) = e23
| h9(e10) = e23
| h1(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f327,f3564]) ).
fof(f3566,plain,
( e22 = e23
| h8(e13) = e23
| h9(e10) = e23
| h1(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f2234,f3565]) ).
fof(f3567,plain,
( e22 = e23
| h8(e13) = e23
| h9(e10) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[f3566,f2353]) ).
fof(f3572,plain,
( e22 = e23
| h9(e10) = e23
| op2(e23,e21) = e22 ),
inference(paramodulation,[status(thm)],[f3567,f2163]) ).
fof(f3577,plain,
( e22 = e23
| h9(e10) = e23
| h6(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f319,f3572]) ).
fof(f3578,plain,
( e22 = e23
| h6(e13) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f3577,f2443]) ).
fof(f3582,plain,
( sP26_prd
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(backward_demodulation,[status(thm)],[f3594,f2900]) ).
fof(f3585,plain,
h6(e10) = op2(h6(e13),e22),
inference(backward_demodulation,[status(thm)],[f3594,f2382]) ).
fof(f3587,plain,
op2(e22,e23) = e21,
inference(backward_demodulation,[status(thm)],[f3594,f2222]) ).
fof(f3592,plain,
e22 = op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f3594,f319]) ).
fof(f3594,plain,
h6(e13) = e22,
inference(forward_subsumption_resolution,[status(thm)],[f3578,f231]) ).
fof(f3596,plain,
h6(e10) = op2(e22,e22),
inference(forward_demodulation,[status(thm)],[f3594,f3585]) ).
fof(f3597,plain,
h6(e10) = h11(e10),
inference(forward_demodulation,[status(thm)],[f2459,f3596]) ).
fof(f3598,plain,
h12(e13) = e21,
inference(forward_demodulation,[status(thm)],[f343,f3587]) ).
fof(f3607,plain,
op2(e21,e22) = e23,
inference(backward_demodulation,[status(thm)],[f3598,f2185]) ).
fof(f3623,plain,
h8(e13) = e23,
inference(forward_demodulation,[status(thm)],[f327,f3607]) ).
fof(f3639,plain,
e23 = op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f3623,f327]) ).
fof(f3658,plain,
( op2(e22,e21) = op2(e23,e22)
| sP39_prd
| ~ sP1_prd ),
inference(forward_demodulation,[status(thm)],[f2178,f445]) ).
fof(f3659,plain,
( e23 = op2(e23,e22)
| sP39_prd
| ~ sP1_prd ),
inference(forward_demodulation,[status(thm)],[f295,f3658]) ).
fof(f3660,plain,
( e23 = e21
| sP39_prd
| ~ sP1_prd ),
inference(forward_demodulation,[status(thm)],[f2178,f3659]) ).
fof(f3661,plain,
( e23 = e21
| sP39_prd ),
inference(forward_subsumption_resolution,[status(thm)],[f3660,f2307]) ).
fof(f3696,plain,
h6(e10) = op2(e22,e22),
inference(backward_demodulation,[status(thm)],[f3597,f2459]) ).
fof(f3701,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| h9(e10) = e21
| h1(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f2445,f1390]) ).
fof(f3702,plain,
( e22 = e21
| op2(e21,e22) = e21
| h9(e10) = e21
| h1(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f2234,f3701]) ).
fof(f3703,plain,
( op2(e21,e22) = e21
| h9(e10) = e21
| h1(e13) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f3702,f229]) ).
fof(f3704,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| h9(e10) = e20
| h1(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f2445,f1391]) ).
fof(f3705,plain,
( e22 = e20
| op2(e21,e22) = e20
| h9(e10) = e20
| h1(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f2234,f3704]) ).
fof(f3706,plain,
( op2(e21,e22) = e20
| h9(e10) = e20
| h1(e13) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[f3705,f227]) ).
fof(f3715,plain,
( op1(e11,e13) = op1(e12,e11)
| sP40_prd
| ~ sP38_prd ),
inference(forward_demodulation,[status(thm)],[f293,f669]) ).
fof(f3716,plain,
( e12 = op1(e12,e11)
| sP40_prd
| ~ sP38_prd ),
inference(forward_demodulation,[status(thm)],[f2108,f3715]) ).
fof(f3717,plain,
( e12 = e13
| sP40_prd
| ~ sP38_prd ),
inference(forward_demodulation,[status(thm)],[f293,f3716]) ).
fof(f3718,plain,
( sP40_prd
| ~ sP38_prd ),
inference(forward_subsumption_resolution,[status(thm)],[f3717,f225]) ).
fof(f3733,plain,
( e23 = e20
| h9(e10) = e20
| h1(e13) = e20 ),
inference(backward_demodulation,[status(thm)],[f3639,f3706]) ).
fof(f3734,plain,
( e23 = e21
| h9(e10) = e21
| h1(e13) = e21 ),
inference(backward_demodulation,[status(thm)],[f3639,f3703]) ).
fof(f3735,plain,
( h9(e10) = e20
| h1(e13) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[f3733,f228]) ).
fof(f3736,plain,
( h9(e10) = e21
| h1(e13) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f3734,f230]) ).
fof(f3738,plain,
( op2(e23,e20) = e22
| h2(e13) = e22
| h1(e13) = e22
| op2(e20,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f303,f1393]) ).
fof(f3739,plain,
( e23 = e22
| h2(e13) = e22
| h1(e13) = e22
| op2(e20,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f2356,f3738]) ).
fof(f3740,plain,
( e23 = e22
| h2(e13) = e22
| op2(e20,e20) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f3739,f2229]) ).
fof(f3742,plain,
( e23 = e22
| h2(e13) = e22
| op2(e22,e20) = e20 ),
inference(paramodulation,[status(thm)],[f3740,f272]) ).
fof(f3747,plain,
( e23 = e22
| h2(e13) = e22
| h2(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f303,f3742]) ).
fof(f3748,plain,
( h2(e13) = e22
| h2(e13) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[f3747,f231]) ).
fof(f3763,plain,
( sP26_prd
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != h12(e13)
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f3597,f3582]) ).
fof(f3764,plain,
( sP26_prd
| h9(op1(e13,e11)) != h8(e13)
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f3598,f3763]) ).
fof(f3765,plain,
( sP26_prd
| h9(op1(e13,e11)) != e23
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f3623,f3764]) ).
fof(f3857,plain,
( op2(e21,e23) = op2(e22,e21)
| sP41_prd
| ~ sP39_prd ),
inference(forward_demodulation,[status(thm)],[f295,f678]) ).
fof(f3858,plain,
( e22 = op2(e22,e21)
| sP41_prd
| ~ sP39_prd ),
inference(forward_demodulation,[status(thm)],[f2234,f3857]) ).
fof(f3859,plain,
( e22 = e23
| sP41_prd
| ~ sP39_prd ),
inference(forward_demodulation,[status(thm)],[f295,f3858]) ).
fof(f3860,plain,
( sP41_prd
| ~ sP39_prd ),
inference(forward_subsumption_resolution,[status(thm)],[f3859,f231]) ).
fof(f4013,plain,
( ~ sP38_prd
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
inference(resolution,[status(thm)],[f683,f3718]) ).
fof(f4201,plain,
( sP26_prd
| h9(e12) != e23
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(backward_demodulation,[status(thm)],[f4221,f3765]) ).
fof(f4216,plain,
op1(e12,e13) = e11,
inference(backward_demodulation,[status(thm)],[f4221,f263]) ).
fof(f4221,plain,
op1(e13,e11) = e12,
inference(forward_subsumption_resolution,[status(thm)],[f3440,f3345]) ).
fof(f4235,plain,
( sP26_prd
| e23 != e23
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f329,f4201]) ).
fof(f4236,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(trivial_equality_resolution,[status(thm)],[f4235]) ).
fof(f4245,plain,
( op1(e11,e12) = e13
| e11 != e11 ),
inference(backward_demodulation,[status(thm)],[f4216,f3205]) ).
fof(f4252,plain,
op1(e12,e10) != e11,
inference(backward_demodulation,[status(thm)],[f4216,f162]) ).
fof(f4253,plain,
op1(e11,e12) = e13,
inference(trivial_equality_resolution,[status(thm)],[f4245]) ).
fof(f4255,plain,
( op2(e20,h1(e13)) = op2(e21,e20)
| ~ sP41_prd ),
inference(forward_demodulation,[status(thm)],[f299,f690]) ).
fof(f4256,plain,
( op2(e20,h1(e13)) = h1(e13)
| ~ sP41_prd ),
inference(forward_demodulation,[status(thm)],[f299,f4255]) ).
fof(f4257,plain,
( ~ sP39_prd
| op2(e20,h1(e13)) = h1(e13) ),
inference(resolution,[status(thm)],[f4256,f3860]) ).
fof(f4258,plain,
( op2(e20,h2(e13)) = op2(e22,e20)
| ~ sP41_prd ),
inference(forward_demodulation,[status(thm)],[f303,f691]) ).
fof(f4259,plain,
( op2(e20,h2(e13)) = h2(e13)
| ~ sP41_prd ),
inference(forward_demodulation,[status(thm)],[f303,f4258]) ).
fof(f4260,plain,
( ~ sP39_prd
| op2(e20,h2(e13)) = h2(e13) ),
inference(resolution,[status(thm)],[f4259,f3860]) ).
fof(f4340,plain,
( op2(e23,e21) = e21
| h9(e10) = e21
| h4(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f2445,f1420]) ).
fof(f4341,plain,
( e22 = e21
| h9(e10) = e21
| h4(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f3592,f4340]) ).
fof(f4342,plain,
( h9(e10) = e21
| h4(e13) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f4341,f229]) ).
fof(f4356,plain,
( e23 = e21
| op2(e20,h1(e13)) = h1(e13) ),
inference(resolution,[status(thm)],[f4257,f3661]) ).
fof(f4358,plain,
op2(e20,h1(e13)) = h1(e13),
inference(forward_subsumption_resolution,[status(thm)],[f4356,f230]) ).
fof(f4363,plain,
( h9(e10) = e20
| op2(e20,e20) = h1(e13) ),
inference(paramodulation,[status(thm)],[f3735,f4358]) ).
fof(f4367,plain,
h9(e10) = e20,
inference(forward_subsumption_resolution,[status(thm)],[f4363,f1775]) ).
fof(f4368,plain,
( e20 = e21
| h4(e13) = e21 ),
inference(backward_demodulation,[status(thm)],[f4367,f4342]) ).
fof(f4374,plain,
( e20 = e21
| h1(e13) = e21 ),
inference(backward_demodulation,[status(thm)],[f4367,f3736]) ).
fof(f4386,plain,
( e20 != e20
| ~ sP26_prd ),
inference(backward_demodulation,[status(thm)],[f4367,f593]) ).
fof(f4387,plain,
h4(e13) = e21,
inference(forward_subsumption_resolution,[status(thm)],[f4368,f226]) ).
fof(f4388,plain,
h1(e13) = e21,
inference(forward_subsumption_resolution,[status(thm)],[f4374,f226]) ).
fof(f4391,plain,
~ sP26_prd,
inference(trivial_equality_resolution,[status(thm)],[f4386]) ).
fof(f4433,plain,
op2(e20,e20) != e21,
inference(backward_demodulation,[status(thm)],[f4387,f1890]) ).
fof(f4453,plain,
e21 = op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f4388,f299]) ).
fof(f4461,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| e21 = e22
| op2(e20,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f4387,f1423]) ).
fof(f4462,plain,
( op2(e20,e23) = e22
| h7(e13) = e22
| e21 = e22
| op2(e20,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f323,f4461]) ).
fof(f4463,plain,
( e23 = e22
| h7(e13) = e22
| e21 = e22
| op2(e20,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f2303,f4462]) ).
fof(f4464,plain,
( e23 = e22
| h7(e13) = e22
| op2(e20,e20) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f4463,f229]) ).
fof(f4472,plain,
( e23 = e22
| h7(e13) = e22
| e22 != h2(e13) ),
inference(paramodulation,[status(thm)],[f4464,f1777]) ).
fof(f4476,plain,
( h7(e13) = e22
| e22 != h2(e13) ),
inference(forward_subsumption_resolution,[status(thm)],[f4472,f231]) ).
fof(f4580,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| e23 = e20
| h7(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f3639,f1452]) ).
fof(f4581,plain,
( op2(e23,e22) = e20
| h6(e10) = e20
| e23 = e20
| h7(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f3696,f4580]) ).
fof(f4582,plain,
( e21 = e20
| h6(e10) = e20
| e23 = e20
| h7(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f2178,f4581]) ).
fof(f4583,plain,
( e21 = e20
| h6(e10) = e20
| h7(e13) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[f4582,f228]) ).
fof(f4592,plain,
( e21 = e20
| h6(e10) = e20
| op2(e20,e20) = e22 ),
inference(paramodulation,[status(thm)],[f4583,f2158]) ).
fof(f4596,plain,
( h6(e10) = e20
| op2(e20,e20) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f4592,f226]) ).
fof(f4800,plain,
( e23 = e21
| op2(e20,h2(e13)) = h2(e13) ),
inference(resolution,[status(thm)],[f4260,f3661]) ).
fof(f4802,plain,
op2(e20,h2(e13)) = h2(e13),
inference(forward_subsumption_resolution,[status(thm)],[f4800,f230]) ).
fof(f4841,plain,
( h6(e10) = e20
| e22 != h2(e13) ),
inference(paramodulation,[status(thm)],[f4596,f1777]) ).
fof(f4920,plain,
( op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(paramodulation,[status(thm)],[f3436,f250]) ).
fof(f5031,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(e20,h9(e10)) ),
inference(forward_demodulation,[status(thm)],[f4367,f4236]) ).
fof(f5032,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4367,f5031]) ).
fof(f5033,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(e20,e22)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4367,f5032]) ).
fof(f5034,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f323,f5033]) ).
fof(f5035,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(e20,e23)
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4367,f5034]) ).
fof(f5036,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2303,f5035]) ).
fof(f5037,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != op2(e22,e20)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4367,f5036]) ).
fof(f5038,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e12)) != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f303,f5037]) ).
fof(f5039,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(e13) != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4253,f5038]) ).
fof(f5040,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| e21 != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2181,f5039]) ).
fof(f5041,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != op2(e23,e20)
| e21 != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4367,f5040]) ).
fof(f5042,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| h9(op1(e12,e13)) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != e23
| e21 != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2356,f5041]) ).
fof(f5043,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| h9(e11) != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != e23
| e21 != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4216,f5042]) ).
fof(f5044,plain,
( sP26_prd
| e21 != op2(e21,h9(e10))
| e22 != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != e23
| e21 != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f328,f5043]) ).
fof(f5045,plain,
( sP26_prd
| e21 != op2(e21,e20)
| e22 != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != e23
| e21 != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4367,f5044]) ).
fof(f5046,plain,
( sP26_prd
| e21 != e21
| e22 != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != e23
| e21 != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4453,f5045]) ).
fof(f5047,plain,
( sP26_prd
| e22 != e22
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != e23
| e21 != e21
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(duplicate_literals_removal,[status(thm)],[f5046]) ).
fof(f5048,plain,
( sP26_prd
| h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != e23
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(trivial_equality_resolution,[status(thm)],[f5047]) ).
fof(f5049,plain,
( h9(op1(e12,e12)) != e20
| h9(op1(e12,e10)) != e23
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_subsumption_resolution,[status(thm)],[f5048,f4391]) ).
fof(f5112,plain,
( op1(e10,e11) = e11
| e11 = e10
| op1(e11,e10) = e10 ),
inference(paramodulation,[status(thm)],[f2053,f4920]) ).
fof(f5120,plain,
( op1(e10,e11) = e11
| op1(e11,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[f5112,f220]) ).
fof(f5124,plain,
( op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[f2054,f4252]) ).
fof(f5374,plain,
( e13 = e12
| op1(e12,e10) = e12
| op1(e10,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f2364,f2114]) ).
fof(f5375,plain,
( op1(e12,e10) = e12
| op1(e10,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[f5374,f225]) ).
fof(f5386,plain,
( op1(e10,e10) = e12
| op1(e12,e12) = e10 ),
inference(paramodulation,[status(thm)],[f5375,f258]) ).
fof(f5636,plain,
( op2(e20,e20) = e22
| op2(e20,e20) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[f2413,f4433]) ).
fof(f5651,plain,
( op2(e20,e20) = e20
| e22 != h2(e13) ),
inference(paramodulation,[status(thm)],[f5636,f1777]) ).
fof(f6622,plain,
( e13 = e11
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
inference(resolution,[status(thm)],[f4013,f3366]) ).
fof(f6625,plain,
op1(e10,op1(e10,e10)) = op1(e10,e10),
inference(forward_subsumption_resolution,[status(thm)],[f6622,f224]) ).
fof(f6630,plain,
( op1(e12,e12) = e10
| op1(e10,e12) = op1(e10,e10) ),
inference(paramodulation,[status(thm)],[f5386,f6625]) ).
fof(f6631,plain,
( op1(e11,e10) = e11
| op1(e10,e11) = op1(e10,e10) ),
inference(paramodulation,[status(thm)],[f5124,f6625]) ).
fof(f6632,plain,
( op1(e11,e11) = e10
| op1(e10,e11) = op1(e10,e10) ),
inference(paramodulation,[status(thm)],[f3436,f6625]) ).
fof(f6635,plain,
op1(e12,e12) = e10,
inference(forward_subsumption_resolution,[status(thm)],[f6630,f149]) ).
fof(f6636,plain,
op1(e11,e10) = e11,
inference(forward_subsumption_resolution,[status(thm)],[f6631,f148]) ).
fof(f6637,plain,
op1(e11,e11) = e10,
inference(forward_subsumption_resolution,[status(thm)],[f6632,f148]) ).
fof(f6659,plain,
( h9(e10) != e20
| h9(op1(e12,e10)) != e23
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f6635,f5049]) ).
fof(f6675,plain,
( e10 = e12
| op1(e10,e12) = e12 ),
inference(backward_demodulation,[status(thm)],[f6635,f3214]) ).
fof(f6677,plain,
( e10 = e12
| op1(e10,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f6635,f3117]) ).
fof(f6680,plain,
( e10 = e12
| op1(e12,e10) = e12 ),
inference(backward_demodulation,[status(thm)],[f6635,f2117]) ).
fof(f6706,plain,
( e20 != e20
| h9(op1(e12,e10)) != e23
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4367,f6659]) ).
fof(f6707,plain,
( h9(op1(e12,e10)) != e23
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(op1(e10,e12)) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(trivial_equality_resolution,[status(thm)],[f6706]) ).
fof(f6726,plain,
op1(e10,e12) = e12,
inference(forward_subsumption_resolution,[status(thm)],[f6675,f221]) ).
fof(f6728,plain,
op1(e10,e10) != e12,
inference(forward_subsumption_resolution,[status(thm)],[f6677,f221]) ).
fof(f6729,plain,
op1(e12,e10) = e12,
inference(forward_subsumption_resolution,[status(thm)],[f6680,f221]) ).
fof(f6733,plain,
( op1(e12,e10) = e10
| e11 = e10
| op1(e10,e10) = e10 ),
inference(backward_demodulation,[status(thm)],[f6636,f2371]) ).
fof(f6738,plain,
( op1(e10,e11) = e11
| e11 = e10 ),
inference(backward_demodulation,[status(thm)],[f6636,f5120]) ).
fof(f6754,plain,
( op1(e12,e10) = e10
| op1(e10,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[f6733,f220]) ).
fof(f6757,plain,
op1(e10,e11) = e11,
inference(forward_subsumption_resolution,[status(thm)],[f6738,f220]) ).
fof(f6806,plain,
( h9(op1(e12,e10)) != e23
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| h9(e12) != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6726,f6707]) ).
fof(f6807,plain,
( h9(op1(e12,e10)) != e23
| h9(op1(e11,e11)) != h6(e10)
| h9(op1(e11,e10)) != h2(e13)
| e23 != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f329,f6806]) ).
fof(f6808,plain,
( h9(op1(e12,e10)) != e23
| h9(op1(e11,e11)) != h6(e10)
| h9(e11) != h2(e13)
| e23 != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6636,f6807]) ).
fof(f6809,plain,
( h9(op1(e12,e10)) != e23
| h9(op1(e11,e11)) != h6(e10)
| e22 != h2(e13)
| e23 != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f328,f6808]) ).
fof(f6810,plain,
( h9(op1(e12,e10)) != e23
| h9(e10) != h6(e10)
| e22 != h2(e13)
| e23 != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6637,f6809]) ).
fof(f6811,plain,
( h9(op1(e12,e10)) != e23
| e20 != h6(e10)
| e22 != h2(e13)
| e23 != e23
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4367,f6810]) ).
fof(f6812,plain,
( h9(op1(e12,e10)) != e23
| e20 != h6(e10)
| e22 != h2(e13)
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(trivial_equality_resolution,[status(thm)],[f6811]) ).
fof(f6813,plain,
( h9(op1(e12,e10)) != e23
| e22 != h2(e13)
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_subsumption_resolution,[status(thm)],[f6812,f4841]) ).
fof(f6814,plain,
( op1(e10,e10) = e12
| h9(e12) != e23
| e22 != h2(e13)
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(paramodulation,[status(thm)],[f5375,f6813]) ).
fof(f6815,plain,
( op1(e10,e10) = e12
| e23 != e23
| e22 != h2(e13)
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f329,f6814]) ).
fof(f6816,plain,
( op1(e10,e10) = e12
| e22 != h2(e13)
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(trivial_equality_resolution,[status(thm)],[f6815]) ).
fof(f6839,plain,
( e22 != h2(e13)
| h9(op1(e10,e11)) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(backward_subsumption_resolution,[status(thm)],[f6816,f6728]) ).
fof(f6916,plain,
( e22 != h2(e13)
| h9(e11) != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6757,f6839]) ).
fof(f6917,plain,
( e22 != h2(e13)
| e22 != h7(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f328,f6916]) ).
fof(f6918,plain,
( e22 != h2(e13)
| h9(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_subsumption_resolution,[status(thm)],[f6917,f4476]) ).
fof(f6927,plain,
( e12 = e10
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f6729,f6754]) ).
fof(f6929,plain,
( e22 != h2(e13)
| h9(e10) != op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f6938,f6918]) ).
fof(f6938,plain,
op1(e10,e10) = e10,
inference(forward_subsumption_resolution,[status(thm)],[f6927,f221]) ).
fof(f6939,plain,
( e22 != h2(e13)
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4367,f6929]) ).
fof(f6940,plain,
e22 != h2(e13),
inference(forward_subsumption_resolution,[status(thm)],[f6939,f5651]) ).
fof(f6950,plain,
( e23 = e22
| op2(e20,e20) = e22 ),
inference(backward_subsumption_resolution,[status(thm)],[f3740,f6940]) ).
fof(f6952,plain,
h2(e13) = e20,
inference(backward_subsumption_resolution,[status(thm)],[f3748,f6940]) ).
fof(f6953,plain,
op2(e20,e20) = e22,
inference(forward_subsumption_resolution,[status(thm)],[f6950,f231]) ).
fof(f7038,plain,
op2(e20,h2(e13)) = e20,
inference(backward_demodulation,[status(thm)],[f6952,f4802]) ).
fof(f7046,plain,
op2(e20,e20) = e20,
inference(forward_demodulation,[status(thm)],[f6952,f7038]) ).
fof(f7150,plain,
e22 = e20,
inference(forward_demodulation,[status(thm)],[f6953,f7046]) ).
fof(f7151,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f7150,f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG105+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 12:55:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.89/0.65 % Refutation found
% 0.89/0.65 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.89/0.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.89/0.68 % Elapsed time: 0.306537 seconds
% 0.89/0.68 % CPU time: 2.032213 seconds
% 0.89/0.68 % Total memory used: 173.344 MB
% 0.89/0.68 % Net memory used: 171.317 MB
%------------------------------------------------------------------------------