%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG115+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 11:48:16 AM UTC 2026
% Result : Theorem 0.22s 0.71s
% Output : CNFRefutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 101
% Number of leaves : 33
% Syntax : Number of formulae : 416 ( 136 unt; 16 def)
% Number of atoms : 4188 (3992 equ)
% Maximal formula atoms : 288 ( 10 avg)
% Number of connectives : 5536 (1764 ~;2442 |;1314 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 72 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) )
& ( ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10 ) )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) )
& ( ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20 ) )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e12 = op1(op1(e13,e13),e13)
& e11 = op1(e13,e13)
& e10 = op1(op1(e13,e13),op1(op1(e13,e13),e13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e22 = op2(op2(e23,e23),e23)
& e21 = op2(e23,e23)
& e20 = op2(op2(e23,e23),op2(op2(e23,e23),e23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e12) = op2(op2(e20,e20),e20)
& h1(e11) = op2(e20,e20)
& h1(e10) = op2(op2(e20,e20),op2(op2(e20,e20),e20))
& h1(e13) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e12) = op2(op2(e21,e21),e21)
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(op2(e21,e21),op2(op2(e21,e21),e21))
& h2(e13) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e12) = op2(op2(e22,e22),e22)
& h3(e11) = op2(e22,e22)
& h3(e10) = op2(op2(e22,e22),op2(op2(e22,e22),e22))
& h3(e13) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e12) = op2(op2(e23,e23),e23)
& h4(e11) = op2(e23,e23)
& h4(e10) = op2(op2(e23,e23),op2(op2(e23,e23),e23))
& h4(e13) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( ( 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(f19,negated_conjecture,
~ ( ( ( 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)],[f18]) ).
fof(f23,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f41,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f43,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f72,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f73,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f88,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f91,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f95,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f108,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f109,plain,
( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f112,plain,
( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f133,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f136,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f139,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f148,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f150,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f153,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f166,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f177,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f179,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f180,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f182,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f184,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f194,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f195,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f196,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f197,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f198,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f210,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f211,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f212,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f213,plain,
e10 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f214,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f216,plain,
e11 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f217,plain,
e12 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f218,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f219,plain,
e20 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f220,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f222,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f223,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f240,definition,
( sP0_prd
<=> ( ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,definition,
( sP1_prd
<=> ( ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f242,plain,
( ( ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| sP1_prd )
& ( ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10 )
| sP0_prd )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10 ) ),
inference(formula_renaming,[status(thm)],[f10,f241,f240]) ).
fof(f243,plain,
( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f245,plain,
( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f246,plain,
( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f255,definition,
( sP2_prd
<=> ( ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f256,definition,
( sP3_prd
<=> ( ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f257,plain,
( ( ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| sP3_prd )
& ( ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20 )
| sP2_prd )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20 ) ),
inference(formula_renaming,[status(thm)],[f11,f256,f255]) ).
fof(f258,plain,
( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f260,plain,
( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f261,plain,
( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f270,plain,
e10 = op1(op1(e13,e13),op1(op1(e13,e13),e13)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f271,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f272,plain,
e12 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f273,plain,
e20 = op2(op2(e23,e23),op2(op2(e23,e23),e23)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f274,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f275,plain,
e22 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f278,plain,
h1(e11) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f282,plain,
h2(e11) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f286,plain,
h3(e11) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f288,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f289,plain,
h4(e10) = op2(op2(e23,e23),op2(op2(e23,e23),e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f290,plain,
h4(e11) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f291,plain,
h4(e12) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f292,plain,
( ( ( 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)],[f19]) ).
fof(f293,definition,
( sP4_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f294,definition,
( sP5_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f295,definition,
( sP6_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f296,definition,
( sP7_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f297,definition,
( sP8_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f298,definition,
( sP9_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f299,definition,
( sP10_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f300,definition,
( sP11_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f301,definition,
( sP12_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f302,definition,
( sP13_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f303,definition,
( sP14_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f304,definition,
( sP15_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f305,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP15_prd
| sP14_prd
| sP13_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 )
| sP12_prd
| sP11_prd
| sP10_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 )
| sP9_prd
| sP8_prd
| sP7_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 )
| sP6_prd
| sP5_prd
| sP4_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)],[f292,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293]) ).
fof(f321,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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)) ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f412,plain,
( ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20
| sP13_prd )
& ( ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f302]) ).
fof(f413,plain,
( h4(e10) != e20
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f418,plain,
( ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP14_prd )
& ( ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f303]) ).
fof(f420,plain,
( h4(e11) != e21
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f424,plain,
( ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP15_prd )
& ( ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f304]) ).
fof(f427,plain,
( h4(e12) != e22
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f1570,plain,
e10 = op1(op1(e13,e13),op1(e11,e13)),
inference(backward_demodulation,[status(thm)],[f271,f270]) ).
fof(f1573,plain,
( e11 = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13 ),
inference(backward_demodulation,[status(thm)],[f271,f246]) ).
fof(f1574,plain,
( e11 = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12 ),
inference(backward_demodulation,[status(thm)],[f271,f245]) ).
fof(f1576,plain,
( e11 = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10 ),
inference(backward_demodulation,[status(thm)],[f271,f243]) ).
fof(f1577,plain,
op1(e13,e12) != e11,
inference(backward_demodulation,[status(thm)],[f271,f163]) ).
fof(f1580,plain,
op1(e12,e13) != e11,
inference(backward_demodulation,[status(thm)],[f271,f139]) ).
fof(f1582,plain,
op1(e10,e13) != e11,
inference(backward_demodulation,[status(thm)],[f271,f136]) ).
fof(f1589,plain,
( e11 = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(backward_demodulation,[status(thm)],[f271,f61]) ).
fof(f1590,plain,
( e11 = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(backward_demodulation,[status(thm)],[f271,f60]) ).
fof(f1593,plain,
op1(e11,e11) != e12,
inference(backward_demodulation,[status(thm)],[f1602,f150]) ).
fof(f1594,plain,
op1(e11,e10) != e12,
inference(backward_demodulation,[status(thm)],[f1602,f148]) ).
fof(f1596,plain,
op1(e10,e13) != e12,
inference(backward_demodulation,[status(thm)],[f1602,f134]) ).
fof(f1602,plain,
e12 = op1(e11,e13),
inference(forward_demodulation,[status(thm)],[f271,f272]) ).
fof(f1603,plain,
e20 = op2(op2(e23,e23),op2(e21,e23)),
inference(backward_demodulation,[status(thm)],[f274,f273]) ).
fof(f1606,plain,
( e21 = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23 ),
inference(backward_demodulation,[status(thm)],[f274,f261]) ).
fof(f1607,plain,
( e21 = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22 ),
inference(backward_demodulation,[status(thm)],[f274,f260]) ).
fof(f1609,plain,
( e21 = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f274,f258]) ).
fof(f1610,plain,
op2(e23,e22) != e21,
inference(backward_demodulation,[status(thm)],[f274,f211]) ).
fof(f1611,plain,
op2(e23,e21) != e21,
inference(backward_demodulation,[status(thm)],[f274,f210]) ).
fof(f1615,plain,
op2(e20,e23) != e21,
inference(backward_demodulation,[status(thm)],[f274,f184]) ).
fof(f1619,plain,
( e21 = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(backward_demodulation,[status(thm)],[f274,f112]) ).
fof(f1622,plain,
( e21 = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(backward_demodulation,[status(thm)],[f274,f109]) ).
fof(f1623,plain,
( e21 = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f274,f108]) ).
fof(f1626,plain,
op2(e21,e21) != e22,
inference(backward_demodulation,[status(thm)],[f1635,f198]) ).
fof(f1627,plain,
op2(e21,e20) != e22,
inference(backward_demodulation,[status(thm)],[f1635,f196]) ).
fof(f1629,plain,
op2(e20,e23) != e22,
inference(backward_demodulation,[status(thm)],[f1635,f182]) ).
fof(f1635,plain,
e22 = op2(e21,e23),
inference(forward_demodulation,[status(thm)],[f274,f275]) ).
fof(f1637,plain,
h1(e11) != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f278,f190]) ).
fof(f1640,plain,
h1(e11) != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f278,f166]) ).
fof(f1643,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| h1(e11) = e23 ),
inference(backward_demodulation,[status(thm)],[f278,f91]) ).
fof(f1646,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| h1(e11) = e22 ),
inference(backward_demodulation,[status(thm)],[f278,f88]) ).
fof(f1648,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| h1(e11) = e21 ),
inference(backward_demodulation,[status(thm)],[f278,f86]) ).
fof(f1654,plain,
h2(e11) != op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f282,f197]) ).
fof(f1655,plain,
op2(e21,e20) != h2(e11),
inference(backward_demodulation,[status(thm)],[f282,f194]) ).
fof(f1661,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| h2(e11) = e21
| op2(e20,e21) = e21 ),
inference(backward_demodulation,[status(thm)],[f282,f95]) ).
fof(f1663,plain,
( h2(e11) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(backward_demodulation,[status(thm)],[f282,f73]) ).
fof(f1669,plain,
h3(e11) != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f286,f181]) ).
fof(f1670,plain,
op2(e21,e22) != h3(e11),
inference(backward_demodulation,[status(thm)],[f286,f179]) ).
fof(f1671,plain,
op2(e20,e22) != h3(e11),
inference(backward_demodulation,[status(thm)],[f286,f177]) ).
fof(f1682,plain,
h4(e10) = e20,
inference(forward_demodulation,[status(thm)],[f273,f289]) ).
fof(f1683,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f274,f290]) ).
fof(f1684,plain,
h4(e12) = op2(e21,e23),
inference(forward_demodulation,[status(thm)],[f274,f291]) ).
fof(f1685,plain,
h4(e12) = e22,
inference(forward_demodulation,[status(thm)],[f1635,f1684]) ).
fof(f1974,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1682,f321]) ).
fof(f1975,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1682,f1974]) ).
fof(f1976,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f278,f1975]) ).
fof(f1977,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e20,h4(e11))
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1682,f1976]) ).
fof(f1978,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1683,f1977]) ).
fof(f1979,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e20,h4(e12))
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1682,f1978]) ).
fof(f1980,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1685,f1979]) ).
fof(f1981,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e20,h4(e13))
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1682,f1980]) ).
fof(f1982,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f288,f1981]) ).
fof(f1983,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e21,h4(e10))
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1683,f1982]) ).
fof(f1984,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1682,f1983]) ).
fof(f1985,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e21,h4(e11))
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1683,f1984]) ).
fof(f1986,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e21,e21)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1683,f1985]) ).
fof(f1987,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f282,f1986]) ).
fof(f1988,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e21,h4(e12))
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1683,f1987]) ).
fof(f1989,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1685,f1988]) ).
fof(f1990,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e12) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1602,f1989]) ).
fof(f1991,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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))
| e22 != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1685,f1990]) ).
fof(f1992,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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))
| e22 != op2(e21,h4(e13))
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1683,f1991]) ).
fof(f1993,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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))
| e22 != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f288,f1992]) ).
fof(f1994,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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))
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1635,f1993]) ).
fof(f1995,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e22,h4(e10))
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1685,f1994]) ).
fof(f1996,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1682,f1995]) ).
fof(f1997,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e22,h4(e11))
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1685,f1996]) ).
fof(f1998,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1683,f1997]) ).
fof(f1999,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e22,h4(e12))
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1685,f1998]) ).
fof(f2000,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e22,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1685,f1999]) ).
fof(f2001,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f286,f2000]) ).
fof(f2002,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e22,h4(e13))
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1685,f2001]) ).
fof(f2003,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f288,f2002]) ).
fof(f2004,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e23,h4(e10))
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f288,f2003]) ).
fof(f2005,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_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(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1682,f2004]) ).
fof(f2006,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f288,f2005]) ).
fof(f2007,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1683,f2006]) ).
fof(f2008,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f288,f2007]) ).
fof(f2009,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1685,f2008]) ).
fof(f2010,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_prd
| h4(e11) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f271,f2009]) ).
fof(f2011,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_prd
| e21 != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1683,f2010]) ).
fof(f2012,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_prd
| e21 != op2(e23,h4(e13))
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f288,f2011]) ).
fof(f2013,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_prd
| e21 != op2(e23,e23)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f288,f2012]) ).
fof(f2014,plain,
( h4(e13) != e23
| sP15_prd
| sP14_prd
| sP13_prd
| e21 != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f274,f2013]) ).
fof(f2015,plain,
( e23 != e23
| sP15_prd
| sP14_prd
| sP13_prd
| e21 != e21
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e22 != e22
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f288,f2014]) ).
fof(f2016,plain,
( sP15_prd
| sP14_prd
| sP13_prd
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(trivial_equality_resolution,[status(thm)],[f2015]) ).
fof(f2064,plain,
( e20 != e20
| ~ sP13_prd ),
inference(forward_demodulation,[status(thm)],[f1682,f413]) ).
fof(f2065,plain,
( sP15_prd
| sP14_prd
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(backward_subsumption_resolution,[status(thm)],[f2016,f2066]) ).
fof(f2066,plain,
~ sP13_prd,
inference(trivial_equality_resolution,[status(thm)],[f2064]) ).
fof(f2071,plain,
( e21 != e21
| ~ sP14_prd ),
inference(forward_demodulation,[status(thm)],[f1683,f420]) ).
fof(f2072,plain,
~ sP14_prd,
inference(trivial_equality_resolution,[status(thm)],[f2071]) ).
fof(f2078,plain,
( e22 != e22
| ~ sP15_prd ),
inference(forward_demodulation,[status(thm)],[f1685,f427]) ).
fof(f2079,plain,
~ sP15_prd,
inference(trivial_equality_resolution,[status(thm)],[f2078]) ).
fof(f2383,plain,
e10 = op1(e11,op1(e11,e13)),
inference(forward_demodulation,[status(thm)],[f271,f1570]) ).
fof(f2413,plain,
op1(e11,e11) != e10,
inference(backward_demodulation,[status(thm)],[f2423,f149]) ).
fof(f2414,plain,
op1(e11,e10) != e10,
inference(backward_demodulation,[status(thm)],[f2423,f147]) ).
fof(f2415,plain,
e10 != op1(e13,e12),
inference(backward_demodulation,[status(thm)],[f2423,f132]) ).
fof(f2416,plain,
e10 != op1(e12,e12),
inference(backward_demodulation,[status(thm)],[f2423,f131]) ).
fof(f2423,plain,
e10 = op1(e11,e12),
inference(forward_demodulation,[status(thm)],[f1602,f2383]) ).
fof(f2426,plain,
( op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13 ),
inference(forward_subsumption_resolution,[status(thm)],[f1573,f216]) ).
fof(f2427,plain,
( op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[f1574,f215]) ).
fof(f2428,plain,
( op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1576,f212]) ).
fof(f2429,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e10 ),
inference(backward_subsumption_resolution,[status(thm)],[f34,f1577]) ).
fof(f2434,plain,
( op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(backward_subsumption_resolution,[status(thm)],[f54,f1580]) ).
fof(f2437,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(backward_subsumption_resolution,[status(thm)],[f38,f1582]) ).
fof(f2438,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e10 ),
inference(backward_subsumption_resolution,[status(thm)],[f23,f1582]) ).
fof(f2443,plain,
( e11 = e10
| op1(e12,e13) = e10
| e12 = e10
| op1(e10,e13) = e10 ),
inference(forward_demodulation,[status(thm)],[f1602,f1589]) ).
fof(f2444,plain,
( e11 = e10
| op1(e12,e13) = e10
| op1(e10,e13) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[f2443,f213]) ).
fof(f2445,plain,
( op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1590,f212]) ).
fof(f2448,plain,
( op1(e12,e12) = e12
| op1(e10,e10) = e12 ),
inference(backward_subsumption_resolution,[status(thm)],[f2427,f1593]) ).
fof(f2449,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e10,e11) = e12 ),
inference(backward_subsumption_resolution,[status(thm)],[f49,f1593]) ).
fof(f2451,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e10,e10) = e12 ),
inference(backward_subsumption_resolution,[status(thm)],[f41,f1594]) ).
fof(f2452,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(backward_subsumption_resolution,[status(thm)],[f24,f1594]) ).
fof(f2467,plain,
e20 = op2(e21,op2(e21,e23)),
inference(forward_demodulation,[status(thm)],[f274,f1603]) ).
fof(f2497,plain,
op2(e21,e20) != e20,
inference(backward_demodulation,[status(thm)],[f2501,f195]) ).
fof(f2498,plain,
e20 != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f2501,f180]) ).
fof(f2501,plain,
e20 = op2(e21,e22),
inference(forward_demodulation,[status(thm)],[f1635,f2467]) ).
fof(f2504,plain,
( e21 = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| h1(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f278,f1606]) ).
fof(f2505,plain,
( e21 = e23
| op2(e22,e22) = e23
| h2(e11) = e23
| h1(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f282,f2504]) ).
fof(f2506,plain,
( e21 = e23
| h3(e11) = e23
| h2(e11) = e23
| h1(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f286,f2505]) ).
fof(f2507,plain,
( h3(e11) = e23
| h2(e11) = e23
| h1(e11) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[f2506,f222]) ).
fof(f2508,plain,
( e21 = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| h1(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f278,f1607]) ).
fof(f2509,plain,
( e21 = e22
| op2(e22,e22) = e22
| h2(e11) = e22
| h1(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f282,f2508]) ).
fof(f2510,plain,
( e21 = e22
| h3(e11) = e22
| h2(e11) = e22
| h1(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f286,f2509]) ).
fof(f2511,plain,
( h3(e11) = e22
| h2(e11) = e22
| h1(e11) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f2510,f221]) ).
fof(f2512,plain,
( e21 = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| h1(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f278,f1609]) ).
fof(f2513,plain,
( e21 = e20
| op2(e22,e22) = e20
| h2(e11) = e20
| h1(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f282,f2512]) ).
fof(f2514,plain,
( e21 = e20
| h3(e11) = e20
| h2(e11) = e20
| h1(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f286,f2513]) ).
fof(f2515,plain,
( h3(e11) = e20
| h2(e11) = e20
| h1(e11) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[f2514,f218]) ).
fof(f2516,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e20 ),
inference(backward_subsumption_resolution,[status(thm)],[f82,f1610]) ).
fof(f2521,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e20 ),
inference(backward_subsumption_resolution,[status(thm)],[f71,f1615]) ).
fof(f2525,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1619,f221]) ).
fof(f2526,plain,
( e21 = e20
| op2(e22,e23) = e20
| e22 = e20
| op2(e20,e23) = e20 ),
inference(forward_demodulation,[status(thm)],[f1635,f1622]) ).
fof(f2527,plain,
( e21 = e20
| op2(e22,e23) = e20
| op2(e20,e23) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[f2526,f219]) ).
fof(f2528,plain,
( op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[f1623,f218]) ).
fof(f2531,plain,
( h3(e11) = e22
| h1(e11) = e22 ),
inference(backward_subsumption_resolution,[status(thm)],[f2511,f2533]) ).
fof(f2533,plain,
h2(e11) != e22,
inference(forward_demodulation,[status(thm)],[f282,f1626]) ).
fof(f2534,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(backward_subsumption_resolution,[status(thm)],[f72,f1627]) ).
fof(f2553,plain,
( op2(e20,e22) = e22
| op2(e20,e21) = e22
| h1(e11) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1646,f1629]) ).
fof(f2555,plain,
( op2(e20,e22) = e21
| op2(e20,e21) = e21
| h1(e11) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f1648,f1615]) ).
fof(f2561,plain,
( h3(e11) = e20
| h1(e11) = e20 ),
inference(backward_subsumption_resolution,[status(thm)],[f2515,f2563]) ).
fof(f2563,plain,
h2(e11) != e20,
inference(forward_demodulation,[status(thm)],[f2501,f1654]) ).
fof(f2565,plain,
( op2(e22,e21) = e21
| h2(e11) = e21
| op2(e20,e21) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f1661,f1611]) ).
fof(f2567,plain,
( h2(e11) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| h2(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f282,f1663]) ).
fof(f2568,plain,
( h2(e11) = e23
| op2(e21,e21) = e22
| h2(e11) = e21
| h2(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f282,f2567]) ).
fof(f2569,plain,
( h2(e11) = e23
| h2(e11) = e22
| h2(e11) = e21
| h2(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f282,f2568]) ).
fof(f2570,plain,
( h2(e11) = e23
| h2(e11) = e22
| h2(e11) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f2569,f2563]) ).
fof(f2574,plain,
e20 != h3(e11),
inference(forward_demodulation,[status(thm)],[f2501,f1670]) ).
fof(f2615,plain,
( sP15_prd
| sP14_prd
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(e10) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f2423,f2065]) ).
fof(f2616,plain,
( sP15_prd
| sP14_prd
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e20 != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1682,f2615]) ).
fof(f2617,plain,
( sP15_prd
| sP14_prd
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e20 != e20
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f2501,f2616]) ).
fof(f2618,plain,
( sP15_prd
| sP14_prd
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(trivial_equality_resolution,[status(thm)],[f2617]) ).
fof(f2619,plain,
( sP15_prd
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_subsumption_resolution,[status(thm)],[f2618,f2072]) ).
fof(f2637,plain,
( op1(e12,e12) = e10
| op1(e10,e10) = e10 ),
inference(backward_subsumption_resolution,[status(thm)],[f2428,f2413]) ).
fof(f2646,plain,
( op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(backward_subsumption_resolution,[status(thm)],[f2445,f2415]) ).
fof(f2662,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[f2429,f2415]) ).
fof(f2664,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[f2438,f1596]) ).
fof(f2666,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[f2452,f2414]) ).
fof(f2689,plain,
( op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(backward_subsumption_resolution,[status(thm)],[f2528,f2498]) ).
fof(f2700,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f2516,f2498]) ).
fof(f2702,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[f2521,f1629]) ).
fof(f2703,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f2534,f2497]) ).
fof(f2704,plain,
( h3(e11) = e22
| e20 = e22 ),
inference(backward_demodulation,[status(thm)],[f2743,f2531]) ).
fof(f2706,plain,
( sP15_prd
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != e20 ),
inference(backward_demodulation,[status(thm)],[f2743,f2619]) ).
fof(f2711,plain,
( op2(e20,e22) = e21
| op2(e20,e21) = e21
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f2743,f2555]) ).
fof(f2713,plain,
( op2(e20,e22) = e22
| op2(e20,e21) = e22
| e20 = e22 ),
inference(backward_demodulation,[status(thm)],[f2743,f2553]) ).
fof(f2716,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| e20 = e23 ),
inference(backward_demodulation,[status(thm)],[f2743,f1643]) ).
fof(f2719,plain,
e20 != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f2743,f1640]) ).
fof(f2722,plain,
e20 != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f2743,f1637]) ).
fof(f2724,plain,
( h3(e11) = e23
| h2(e11) = e23
| e20 = e23 ),
inference(backward_demodulation,[status(thm)],[f2743,f2507]) ).
fof(f2743,plain,
h1(e11) = e20,
inference(forward_subsumption_resolution,[status(thm)],[f2561,f2574]) ).
fof(f2747,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| e10 = e12 ),
inference(backward_demodulation,[status(thm)],[f2779,f2451]) ).
fof(f2748,plain,
( op1(e12,e12) = e12
| e10 = e12 ),
inference(backward_demodulation,[status(thm)],[f2779,f2448]) ).
fof(f2749,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f2779,f2437]) ).
fof(f2758,plain,
( op1(e12,e12) = e13
| op1(e11,e11) = e13
| e10 = e13 ),
inference(backward_demodulation,[status(thm)],[f2779,f2426]) ).
fof(f2770,plain,
e10 != op1(e10,e13),
inference(backward_demodulation,[status(thm)],[f2779,f142]) ).
fof(f2773,plain,
e10 != op1(e13,e10),
inference(backward_demodulation,[status(thm)],[f2779,f118]) ).
fof(f2776,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| e10 = e13 ),
inference(backward_demodulation,[status(thm)],[f2779,f43]) ).
fof(f2779,plain,
op1(e10,e10) = e10,
inference(forward_subsumption_resolution,[status(thm)],[f2637,f2416]) ).
fof(f2789,plain,
op2(e20,e22) != e22,
inference(backward_demodulation,[status(thm)],[f2808,f1671]) ).
fof(f2791,plain,
e22 != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f2808,f1669]) ).
fof(f2808,plain,
h3(e11) = e22,
inference(forward_subsumption_resolution,[status(thm)],[f2704,f219]) ).
fof(f2809,plain,
( sP15_prd
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f2779,f2706]) ).
fof(f2810,plain,
( sP15_prd
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1682,f2809]) ).
fof(f2811,plain,
( sP15_prd
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != e22
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2808,f2810]) ).
fof(f2812,plain,
( sP15_prd
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != e22
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21) ),
inference(trivial_equality_resolution,[status(thm)],[f2811]) ).
fof(f2813,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e12)) != e22
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_subsumption_resolution,[status(thm)],[f2812,f2079]) ).
fof(f2845,plain,
( op2(e20,e22) = e21
| op2(e20,e21) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f2711,f218]) ).
fof(f2847,plain,
( op2(e20,e22) = e22
| op2(e20,e21) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f2713,f219]) ).
fof(f2850,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[f2716,f220]) ).
fof(f2853,plain,
op2(e23,e21) = e20,
inference(backward_subsumption_resolution,[status(thm)],[f2689,f2719]) ).
fof(f2863,plain,
op2(e20,e23) = e23,
inference(backward_subsumption_resolution,[status(thm)],[f2702,f2722]) ).
fof(f2864,plain,
( e21 = e20
| op2(e22,e23) = e20 ),
inference(backward_subsumption_resolution,[status(thm)],[f2527,f2722]) ).
fof(f2873,plain,
( e22 = e23
| h2(e11) = e23
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2808,f2724]) ).
fof(f2874,plain,
( e22 = e23
| h2(e11) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[f2873,f220]) ).
fof(f2898,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[f2747,f213]) ).
fof(f2899,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(e12) != e22
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f2921,f2813]) ).
fof(f2902,plain,
( e12 = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(backward_demodulation,[status(thm)],[f2921,f2434]) ).
fof(f2916,plain,
op1(e12,e11) != e12,
inference(backward_demodulation,[status(thm)],[f2921,f155]) ).
fof(f2917,plain,
op1(e12,e10) != e12,
inference(backward_demodulation,[status(thm)],[f2921,f153]) ).
fof(f2918,plain,
e12 != op1(e13,e12),
inference(backward_demodulation,[status(thm)],[f2921,f133]) ).
fof(f2921,plain,
op1(e12,e12) = e12,
inference(forward_subsumption_resolution,[status(thm)],[f2748,f213]) ).
fof(f2922,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[f2749,f212]) ).
fof(f2961,plain,
( e12 = e13
| op1(e11,e11) = e13
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f2921,f2758]) ).
fof(f2962,plain,
( e12 = e13
| op1(e11,e11) = e13 ),
inference(forward_subsumption_resolution,[status(thm)],[f2961,f214]) ).
fof(f2973,plain,
op1(e10,e13) = e13,
inference(backward_subsumption_resolution,[status(thm)],[f2664,f2770]) ).
fof(f2974,plain,
( e11 = e10
| op1(e12,e13) = e10 ),
inference(backward_subsumption_resolution,[status(thm)],[f2444,f2770]) ).
fof(f2983,plain,
op1(e13,e11) = e10,
inference(backward_subsumption_resolution,[status(thm)],[f2646,f2773]) ).
fof(f2993,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13 ),
inference(forward_subsumption_resolution,[status(thm)],[f2776,f214]) ).
fof(f3002,plain,
op2(e20,e21) = e22,
inference(backward_subsumption_resolution,[status(thm)],[f2847,f2789]) ).
fof(f3008,plain,
op2(e23,e22) = e23,
inference(backward_subsumption_resolution,[status(thm)],[f2700,f2791]) ).
fof(f3009,plain,
( op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(backward_subsumption_resolution,[status(thm)],[f2525,f2791]) ).
fof(f3068,plain,
op2(e22,e23) = e20,
inference(forward_subsumption_resolution,[status(thm)],[f2864,f218]) ).
fof(f3104,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(e12) != e22
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2863,f2899]) ).
fof(f3105,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| e22 != e22
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1685,f3104]) ).
fof(f3106,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != e20
| e22 != e22
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f3068,f3105]) ).
fof(f3107,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != e20
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != e20
| e22 != e22
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2853,f3106]) ).
fof(f3108,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != e20
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e13)) != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21) ),
inference(trivial_equality_resolution,[status(thm)],[f3107]) ).
fof(f3110,plain,
( op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[f2902,f215]) ).
fof(f3119,plain,
( op1(e13,e11) = e12
| op1(e10,e11) = e12 ),
inference(backward_subsumption_resolution,[status(thm)],[f2449,f2916]) ).
fof(f3121,plain,
op1(e13,e10) = e12,
inference(backward_subsumption_resolution,[status(thm)],[f2898,f2917]) ).
fof(f3126,plain,
op1(e13,e12) = e13,
inference(backward_subsumption_resolution,[status(thm)],[f2662,f2918]) ).
fof(f3136,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != e20
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(e13) != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f2973,f3108]) ).
fof(f3162,plain,
op1(e12,e13) = e10,
inference(forward_subsumption_resolution,[status(thm)],[f2974,f212]) ).
fof(f3181,plain,
( op2(e20,e22) = e21
| e22 = e21 ),
inference(backward_demodulation,[status(thm)],[f3002,f2845]) ).
fof(f3182,plain,
( op2(e22,e21) = e21
| h2(e11) = e21
| e22 = e21 ),
inference(backward_demodulation,[status(thm)],[f3002,f2565]) ).
fof(f3197,plain,
( e20 = e22
| op2(e23,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f2853,f3009]) ).
fof(f3200,plain,
( e22 = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23 ),
inference(backward_demodulation,[status(thm)],[f3206,f2850]) ).
fof(f3206,plain,
op2(e23,e20) = e22,
inference(forward_subsumption_resolution,[status(thm)],[f3197,f219]) ).
fof(f3304,plain,
( e10 = e12
| op1(e10,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f2983,f3119]) ).
fof(f3308,plain,
( op1(e10,e12) = e11
| e12 = e11 ),
inference(backward_demodulation,[status(thm)],[f3316,f2922]) ).
fof(f3316,plain,
op1(e10,e11) = e12,
inference(forward_subsumption_resolution,[status(thm)],[f3304,f213]) ).
fof(f3318,plain,
( e12 = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13 ),
inference(backward_demodulation,[status(thm)],[f3121,f2993]) ).
fof(f3334,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != e20
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(e13) != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(e12) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f3316,f3136]) ).
fof(f3335,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != e20
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(e13) != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1685,f3334]) ).
fof(f3336,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != e20
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(e13) != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3002,f3335]) ).
fof(f3337,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != e20
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e12,e13)) != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f288,f3336]) ).
fof(f3338,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != e20
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(e10) != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3162,f3337]) ).
fof(f3339,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != e20
| h4(op1(e13,e10)) != op2(e23,e20)
| e20 != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1682,f3338]) ).
fof(f3340,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != e20
| h4(e12) != op2(e23,e20)
| e20 != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3121,f3339]) ).
fof(f3341,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != e20
| e22 != op2(e23,e20)
| e20 != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1685,f3340]) ).
fof(f3342,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != e20
| e22 != e22
| e20 != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3206,f3341]) ).
fof(f3343,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(e10) != e20
| e22 != e22
| e20 != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2983,f3342]) ).
fof(f3344,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| e20 != e20
| e22 != e22
| e20 != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1682,f3343]) ).
fof(f3345,plain,
( h4(e13) != op2(e23,e22)
| e20 != e20
| e22 != e22
| e20 != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3126,f3344]) ).
fof(f3346,plain,
( e23 != op2(e23,e22)
| e20 != e20
| e22 != e22
| e20 != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f288,f3345]) ).
fof(f3347,plain,
( e23 != e23
| e20 != e20
| e22 != e22
| e20 != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3008,f3346]) ).
fof(f3348,plain,
( e20 != e20
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| e23 != e23
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 != e22 ),
inference(duplicate_literals_removal,[status(thm)],[f3347]) ).
fof(f3349,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != op2(e20,e22) ),
inference(trivial_equality_resolution,[status(thm)],[f3348]) ).
fof(f3388,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != e21 ),
inference(backward_demodulation,[status(thm)],[f3392,f3349]) ).
fof(f3392,plain,
op2(e20,e22) = e21,
inference(forward_subsumption_resolution,[status(thm)],[f3181,f221]) ).
fof(f3393,plain,
( op2(e22,e21) = e21
| h2(e11) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f3182,f221]) ).
fof(f3400,plain,
( op2(e22,e20) = e23
| op2(e21,e20) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[f3200,f223]) ).
fof(f3447,plain,
op1(e10,e12) = e11,
inference(forward_subsumption_resolution,[status(thm)],[f3308,f215]) ).
fof(f3452,plain,
( op1(e12,e10) = e13
| op1(e11,e10) = e13 ),
inference(forward_subsumption_resolution,[status(thm)],[f3318,f217]) ).
fof(f3459,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f3447,f3388]) ).
fof(f3460,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1683,f3459]) ).
fof(f3461,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20) ),
inference(trivial_equality_resolution,[status(thm)],[f3460]) ).
fof(f3771,plain,
( e12 = e13
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(e13) != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20) ),
inference(paramodulation,[status(thm)],[f2962,f3461]) ).
fof(f3772,plain,
( e12 = e13
| op1(e11,e10) != e13 ),
inference(paramodulation,[status(thm)],[f2962,f146]) ).
fof(f3774,plain,
( e12 = e13
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e23 != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f288,f3771]) ).
fof(f3775,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| e23 != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20) ),
inference(forward_subsumption_resolution,[status(thm)],[f3774,f217]) ).
fof(f3776,plain,
op1(e12,e10) = e13,
inference(backward_subsumption_resolution,[status(thm)],[f3452,f3778]) ).
fof(f3777,plain,
op1(e11,e10) = e11,
inference(backward_subsumption_resolution,[status(thm)],[f2666,f3778]) ).
fof(f3778,plain,
op1(e11,e10) != e13,
inference(forward_subsumption_resolution,[status(thm)],[f3772,f217]) ).
fof(f3788,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(e13) != op2(e22,e20)
| e23 != h2(e11)
| h4(op1(e11,e10)) != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f3776,f3775]) ).
fof(f3791,plain,
( op1(e12,e11) = e11
| e13 = e11 ),
inference(backward_demodulation,[status(thm)],[f3776,f3110]) ).
fof(f3821,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(e13) != op2(e22,e20)
| e23 != h2(e11)
| h4(e11) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3777,f3788]) ).
fof(f3822,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(e13) != op2(e22,e20)
| e23 != h2(e11)
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1683,f3821]) ).
fof(f3823,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| e23 != op2(e22,e20)
| e23 != h2(e11)
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f288,f3822]) ).
fof(f3827,plain,
( h4(e11) != op2(e22,e21)
| e23 != op2(e22,e20)
| e23 != h2(e11)
| e21 != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f3834,f3823]) ).
fof(f3834,plain,
op1(e12,e11) = e11,
inference(forward_subsumption_resolution,[status(thm)],[f3791,f216]) ).
fof(f3838,plain,
( e21 != op2(e22,e21)
| e23 != op2(e22,e20)
| e23 != h2(e11)
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1683,f3827]) ).
fof(f3874,plain,
( op2(e21,e20) = e21
| e23 != h2(e11) ),
inference(paramodulation,[status(thm)],[f2703,f1655]) ).
fof(f3881,plain,
( e21 != op2(e22,e21)
| e23 != op2(e22,e20)
| e23 != h2(e11) ),
inference(backward_subsumption_resolution,[status(thm)],[f3838,f3874]) ).
fof(f3884,plain,
( e22 = e23
| op2(e21,e20) = e21 ),
inference(resolution,[status(thm)],[f3874,f2874]) ).
fof(f3891,plain,
e21 != h2(e11),
inference(backward_demodulation,[status(thm)],[f3902,f1655]) ).
fof(f3899,plain,
( op2(e22,e20) = e23
| e21 = e23 ),
inference(backward_demodulation,[status(thm)],[f3902,f3400]) ).
fof(f3902,plain,
op2(e21,e20) = e21,
inference(forward_subsumption_resolution,[status(thm)],[f3884,f223]) ).
fof(f3905,plain,
op2(e22,e21) = e21,
inference(backward_subsumption_resolution,[status(thm)],[f3393,f3891]) ).
fof(f3906,plain,
( h2(e11) = e23
| h2(e11) = e22 ),
inference(backward_subsumption_resolution,[status(thm)],[f2570,f3891]) ).
fof(f3921,plain,
( e21 != op2(e22,e21)
| e23 != e23
| e23 != h2(e11) ),
inference(backward_demodulation,[status(thm)],[f3923,f3881]) ).
fof(f3923,plain,
op2(e22,e20) = e23,
inference(forward_subsumption_resolution,[status(thm)],[f3899,f222]) ).
fof(f3938,plain,
h2(e11) = e23,
inference(forward_subsumption_resolution,[status(thm)],[f3906,f2533]) ).
fof(f4002,plain,
( e21 != op2(e22,e21)
| e23 != e23
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3938,f3921]) ).
fof(f4003,plain,
( e21 != e21
| e23 != e23
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3905,f4002]) ).
fof(f4004,plain,
( e21 != e21
| e23 != e23 ),
inference(duplicate_literals_removal,[status(thm)],[f4003]) ).
fof(f4005,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f4004]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG115+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 12:56:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.45 % Drodi V4.1.1
% 0.22/0.71 % Refutation found
% 0.22/0.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.79/0.73 % Elapsed time: 0.359825 seconds
% 1.79/0.73 % CPU time: 2.077201 seconds
% 1.79/0.73 % Total memory used: 185.179 MB
% 1.79/0.73 % Net memory used: 183.315 MB
%------------------------------------------------------------------------------