%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG114+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 : n014.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 11:48:15 AM UTC 2026
% Result : Theorem 0.19s 0.63s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 108
% Number of leaves : 41
% Syntax : Number of formulae : 509 ( 163 unt; 24 def)
% Number of atoms : 3423 (3155 equ)
% Maximal formula atoms : 128 ( 6 avg)
% Number of connectives : 4840 (1926 ~;2292 |; 594 &)
% ( 28 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 6 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 26 ( 24 usr; 25 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) != e12
& op1(e12,e12) = e13 )
| ( op1(e13,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e13,e13) != e10
& op1(e10,e10) = e13 ) )
& ( ( op1(e12,e12) != e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e12,e12) != e10
& op1(e10,e10) = e12 ) )
& ( ( op1(e11,e11) != e13
& op1(e13,e13) = e11 )
| ( op1(e11,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e10
& op1(e10,e10) = e11 ) )
& ( ( op1(e10,e10) != e13
& op1(e13,e13) = e10 )
| ( op1(e10,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e10,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e10,e10) != 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) != e22
& op2(e22,e22) = e23 )
| ( op2(e23,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e23,e23) != e20
& op2(e20,e20) = e23 ) )
& ( ( op2(e22,e22) != e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e22,e22) != e20
& op2(e20,e20) = e22 ) )
& ( ( op2(e21,e21) != e23
& op2(e23,e23) = e21 )
| ( op2(e21,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e20
& op2(e20,e20) = e21 ) )
& ( ( op2(e20,e20) != e23
& op2(e23,e23) = e20 )
| ( op2(e20,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e20,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e13 = op1(e12,e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e10 = op1(op1(e12,e12),e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e23 = op2(e22,e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e20 = op2(op2(e22,e22),e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = op2(e20,e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e10) = op2(op2(e20,e20),e20)
& h1(e12) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = op2(e21,e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e10) = op2(op2(e21,e21),e21)
& h2(e12) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = op2(e22,e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e10) = op2(op2(e22,e22),e22)
& h3(e12) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = op2(e23,e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e10) = op2(op2(e23,e23),e23)
& h4(e12) = 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(f22,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f29,plain,
( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
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(f64,plain,
( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f74,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f94,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
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(f98,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f99,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f105,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
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(f113,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f117,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f124,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f125,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f129,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f130,plain,
op1(e10,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(f141,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f150,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f157,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f161,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f162,plain,
op1(e13,e11) != op1(e13,e13),
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(f168,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f170,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f173,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f177,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f178,plain,
op2(e20,e22) != op2(e23,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(f186,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f187,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f189,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f191,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f199,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f200,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f203,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f208,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f210,plain,
op2(e23,e21) != 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(e10,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e10,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,definition,
( sP1_prd
<=> ( ( op1(e11,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e10
& op1(e10,e10) = e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f242,definition,
( sP2_prd
<=> ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e12,e12) != e10
& op1(e10,e10) = e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f243,definition,
( sP3_prd
<=> ( ( op1(e13,e13) != e12
& op1(e12,e12) = e13 )
| ( op1(e13,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e13,e13) != e10
& op1(e10,e10) = e13 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f244,plain,
( ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| sP3_prd )
& ( ( op1(e12,e12) != e13
& op1(e13,e13) = e12 )
| sP2_prd )
& ( ( op1(e11,e11) != e13
& op1(e13,e13) = e11 )
| sP1_prd )
& ( ( op1(e10,e10) != e13
& op1(e13,e13) = e10 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f10,f243,f242,f241,f240]) ).
fof(f245,plain,
( op1(e13,e13) = e10
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f250,plain,
( op1(e12,e12) != e13
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f253,definition,
( sP4_prd
<=> ( ( op2(e20,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e20,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f254,definition,
( sP5_prd
<=> ( ( op2(e21,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e20
& op2(e20,e20) = e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f255,definition,
( sP6_prd
<=> ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e22,e22) != e20
& op2(e20,e20) = e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f256,definition,
( sP7_prd
<=> ( ( op2(e23,e23) != e22
& op2(e22,e22) = e23 )
| ( op2(e23,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e23,e23) != e20
& op2(e20,e20) = e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f257,plain,
( ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| sP7_prd )
& ( ( op2(e22,e22) != e23
& op2(e23,e23) = e22 )
| sP6_prd )
& ( ( op2(e21,e21) != e23
& op2(e23,e23) = e21 )
| sP5_prd )
& ( ( op2(e20,e20) != e23
& op2(e23,e23) = e20 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f11,f256,f255,f254,f253]) ).
fof(f258,plain,
( op2(e23,e23) = e20
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f263,plain,
( op2(e22,e22) != e23
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f266,plain,
e10 = op1(op1(e12,e12),e12),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f267,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f268,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f269,plain,
e20 = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f270,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f271,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f273,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f275,plain,
h1(e13) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f277,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f279,plain,
h2(e13) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f280,plain,
h3(e12) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f281,plain,
h3(e10) = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f282,plain,
h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f283,plain,
h3(e13) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f285,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f287,plain,
h4(e13) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f288,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(f289,definition,
( sP8_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f290,definition,
( sP9_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f291,definition,
( sP10_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f292,definition,
( sP11_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f293,definition,
( sP12_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f294,definition,
( sP13_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f295,definition,
( sP14_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f296,definition,
( sP15_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f297,definition,
( sP16_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f298,definition,
( sP17_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f299,definition,
( sP18_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f300,definition,
( sP19_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f301,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP19_prd
| sP18_prd
| sP17_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 )
| sP16_prd
| sP15_prd
| sP14_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 )
| sP13_prd
| sP12_prd
| sP11_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 )
| sP10_prd
| sP9_prd
| sP8_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)],[f288,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289]) ).
fof(f313,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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)) ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f318,definition,
( sP20_prd
<=> ( ( op1(e10,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f319,plain,
( sP0_prd
<=> ( ( op1(e10,e10) != e12
& op1(e12,e12) = e10 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f318]) ).
fof(f320,plain,
( ( ( ( op1(e10,e10) = e12
| op1(e12,e12) != e10 )
& ~ sP20_prd )
| sP0_prd )
& ( ( op1(e10,e10) != e12
& op1(e12,e12) = e10 )
| sP20_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f319]) ).
fof(f321,plain,
( op1(e12,e12) = e10
| sP20_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f332,definition,
( sP22_prd
<=> ( ( op1(e12,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e12,e12) != e10
& op1(e10,e10) = e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f333,plain,
( sP2_prd
<=> ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f242,f332]) ).
fof(f334,plain,
( ( ( ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ~ sP22_prd )
| sP2_prd )
& ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| sP22_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f333]) ).
fof(f335,plain,
( op1(e12,e12) = e12
| sP22_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f346,definition,
( sP24_prd
<=> ( ( op2(e20,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f347,plain,
( sP4_prd
<=> ( ( op2(e20,e20) != e22
& op2(e22,e22) = e20 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f253,f346]) ).
fof(f348,plain,
( ( ( ( op2(e20,e20) = e22
| op2(e22,e22) != e20 )
& ~ sP24_prd )
| sP4_prd )
& ( ( op2(e20,e20) != e22
& op2(e22,e22) = e20 )
| sP24_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f347]) ).
fof(f349,plain,
( op2(e22,e22) = e20
| sP24_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f348]) ).
fof(f360,definition,
( sP26_prd
<=> ( ( op2(e22,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e22,e22) != e20
& op2(e20,e20) = e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f361,plain,
( sP6_prd
<=> ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f255,f360]) ).
fof(f362,plain,
( ( ( ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ~ sP26_prd )
| sP6_prd )
& ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| sP26_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f361]) ).
fof(f363,plain,
( op2(e22,e22) = e22
| sP26_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f410,plain,
( ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20
| sP14_prd )
& ( ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f295]) ).
fof(f411,plain,
( h3(e10) != e20
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f416,plain,
( ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP15_prd )
& ( ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f296]) ).
fof(f418,plain,
( h3(e11) != e21
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,plain,
( ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22
| sP16_prd )
& ( ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f297]) ).
fof(f425,plain,
( h3(e12) != e22
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f446,plain,
( ( ( ( op1(e10,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) )
| sP20_prd )
& ( ( op1(e10,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f318]) ).
fof(f447,plain,
( op1(e11,e11) = e10
| op1(e10,e10) = e10
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f449,plain,
( op1(e11,e11) = e10
| op1(e10,e10) != e10
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f460,plain,
( ( ( ( op1(e12,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e12,e12) = e10
| op1(e10,e10) != e12 ) )
| sP22_prd )
& ( ( op1(e12,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e12,e12) != e10
& op1(e10,e10) = e12 )
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f332]) ).
fof(f461,plain,
( op1(e11,e11) = e12
| op1(e10,e10) = e12
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f474,plain,
( ( ( ( op2(e20,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) )
| sP24_prd )
& ( ( op2(e20,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f346]) ).
fof(f475,plain,
( op2(e21,e21) = e20
| op2(e20,e20) = e20
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f474]) ).
fof(f477,plain,
( op2(e21,e21) = e20
| op2(e20,e20) != e20
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f474]) ).
fof(f488,plain,
( ( ( ( op2(e22,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e22,e22) = e20
| op2(e20,e20) != e22 ) )
| sP26_prd )
& ( ( op2(e22,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e22,e22) != e20
& op2(e20,e20) = e22 )
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f360]) ).
fof(f489,plain,
( op2(e21,e21) = e22
| op2(e20,e20) = e22
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f670,plain,
( e22 != e22
| ~ sP16_prd ),
inference(forward_demodulation,[status(thm)],[f280,f425]) ).
fof(f671,plain,
~ sP16_prd,
inference(trivial_equality_resolution,[status(thm)],[f670]) ).
fof(f685,plain,
( op1(e12,e13) = e10
| e13 = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f268,f52]) ).
fof(f686,plain,
( op1(e12,e13) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[f685,f214]) ).
fof(f721,plain,
( op1(e12,e13) = e12
| e13 = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f268,f56]) ).
fof(f722,plain,
( op1(e12,e13) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[f721,f217]) ).
fof(f729,plain,
( op1(e13,e12) = e12
| e13 = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f268,f57]) ).
fof(f730,plain,
( op1(e13,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[f729,f217]) ).
fof(f760,plain,
h3(e13) = e23,
inference(forward_demodulation,[status(thm)],[f271,f283]) ).
fof(f778,plain,
( e13 != e13
| sP2_prd ),
inference(forward_demodulation,[status(thm)],[f268,f250]) ).
fof(f779,plain,
sP2_prd,
inference(trivial_equality_resolution,[status(thm)],[f778]) ).
fof(f781,plain,
( h4(e13) = e20
| sP4_prd ),
inference(forward_demodulation,[status(thm)],[f287,f258]) ).
fof(f865,plain,
( e23 != e23
| sP6_prd ),
inference(forward_demodulation,[status(thm)],[f271,f263]) ).
fof(f866,plain,
sP6_prd,
inference(trivial_equality_resolution,[status(thm)],[f865]) ).
fof(f948,plain,
( op1(e10,e13) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(backward_subsumption_resolution,[status(thm)],[f42,f950]) ).
fof(f949,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 ),
inference(backward_subsumption_resolution,[status(thm)],[f22,f950]) ).
fof(f950,plain,
op1(e10,e12) != e13,
inference(forward_demodulation,[status(thm)],[f268,f129]) ).
fof(f978,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f280,f313]) ).
fof(f979,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f760,f978]) ).
fof(f980,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f280,f979]) ).
fof(f981,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f760,f980]) ).
fof(f982,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f280,f981]) ).
fof(f983,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f280,f982]) ).
fof(f984,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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(e13) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f268,f983]) ).
fof(f985,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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))
| e23 != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f760,f984]) ).
fof(f986,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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))
| e23 != op2(e22,h3(e12))
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f280,f985]) ).
fof(f987,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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))
| e23 != op2(e22,e22)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f280,f986]) ).
fof(f988,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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))
| e23 != e23
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f271,f987]) ).
fof(f989,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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(e22,h3(e13))
| e23 != e23
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f280,f988]) ).
fof(f990,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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(e22,e23)
| e23 != e23
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f760,f989]) ).
fof(f991,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_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(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| e23 != e23
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f760,f990]) ).
fof(f992,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| e23 != e23
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f760,f991]) ).
fof(f993,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(e23,h3(e12))
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| e23 != e23
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f760,f992]) ).
fof(f994,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| e23 != e23
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f280,f993]) ).
fof(f995,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != op2(e23,h3(e13))
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| e23 != e23
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f760,f994]) ).
fof(f996,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != op2(e23,e23)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| e23 != e23
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f760,f995]) ).
fof(f997,plain,
( h3(e13) != e23
| sP16_prd
| sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| e23 != e23
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f287,f996]) ).
fof(f998,plain,
( e23 != e23
| sP16_prd
| sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| e23 != e23
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f760,f997]) ).
fof(f999,plain,
( sP16_prd
| sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| e23 != e23
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(duplicate_literals_removal,[status(thm)],[f998]) ).
fof(f1000,plain,
( sP16_prd
| sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(trivial_equality_resolution,[status(thm)],[f999]) ).
fof(f1001,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1000,f671]) ).
fof(f1011,plain,
( op1(e13,e13) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(backward_subsumption_resolution,[status(thm)],[f66,f1013]) ).
fof(f1013,plain,
e13 != op1(e13,e12),
inference(forward_demodulation,[status(thm)],[f268,f133]) ).
fof(f1109,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| h1(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f275,f84]) ).
fof(f1151,plain,
( op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 ),
inference(backward_subsumption_resolution,[status(thm)],[f29,f1152]) ).
fof(f1152,plain,
op1(e12,e11) != e13,
inference(forward_demodulation,[status(thm)],[f268,f155]) ).
fof(f1157,plain,
( op1(e13,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(backward_subsumption_resolution,[status(thm)],[f67,f1159]) ).
fof(f1159,plain,
e13 != op1(e12,e13),
inference(forward_demodulation,[status(thm)],[f268,f157]) ).
fof(f1218,plain,
h1(e13) != op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f275,f166]) ).
fof(f1228,plain,
op2(e20,e21) != h2(e13),
inference(forward_demodulation,[status(thm)],[f279,f170]) ).
fof(f1237,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| h2(e13) = e21
| op2(e21,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f279,f94]) ).
fof(f1259,plain,
h2(e13) != op2(e22,e21),
inference(forward_demodulation,[status(thm)],[f279,f173]) ).
fof(f1264,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| h2(e13) = e21
| op2(e20,e21) = e21 ),
inference(forward_demodulation,[status(thm)],[f279,f95]) ).
fof(f1280,plain,
( op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(backward_subsumption_resolution,[status(thm)],[f70,f1281]) ).
fof(f1281,plain,
op2(e20,e22) != e23,
inference(forward_demodulation,[status(thm)],[f271,f177]) ).
fof(f1284,plain,
( op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(backward_subsumption_resolution,[status(thm)],[f74,f1285]) ).
fof(f1285,plain,
op2(e21,e22) != e23,
inference(forward_demodulation,[status(thm)],[f271,f179]) ).
fof(f1294,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| h2(e13) = e23
| op2(e21,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f279,f98]) ).
fof(f1295,plain,
( op2(e21,e23) = e23
| h2(e13) = e23
| op2(e21,e20) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1294,f1285]) ).
fof(f1302,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| h2(e13) = e23
| op2(e20,e21) = e23 ),
inference(forward_demodulation,[status(thm)],[f279,f99]) ).
fof(f1324,plain,
( op2(e22,e23) = e20
| e23 = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f271,f100]) ).
fof(f1325,plain,
( op2(e22,e23) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[f1324,f220]) ).
fof(f1334,plain,
op2(e21,e23) != h4(e13),
inference(forward_demodulation,[status(thm)],[f287,f186]) ).
fof(f1338,plain,
op2(e22,e23) != h4(e13),
inference(forward_demodulation,[status(thm)],[f287,f187]) ).
fof(f1344,plain,
h1(e13) != op2(e20,e22),
inference(forward_demodulation,[status(thm)],[f275,f189]) ).
fof(f1346,plain,
h1(e13) != op2(e20,e23),
inference(forward_demodulation,[status(thm)],[f275,f190]) ).
fof(f1349,plain,
( op2(e22,e23) = e21
| e23 = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f271,f102]) ).
fof(f1350,plain,
( op2(e22,e23) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f1349,f222]) ).
fof(f1387,plain,
( op2(e23,e22) = e22
| e23 = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f271,f105]) ).
fof(f1388,plain,
( op2(e23,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1387,f223]) ).
fof(f1431,plain,
( op2(e23,e21) = e23
| h2(e13) = e23
| op2(e20,e21) = e23 ),
inference(backward_subsumption_resolution,[status(thm)],[f1302,f1433]) ).
fof(f1433,plain,
op2(e22,e21) != e23,
inference(forward_demodulation,[status(thm)],[f271,f203]) ).
fof(f1466,plain,
op2(e23,e20) != h4(e13),
inference(forward_demodulation,[status(thm)],[f287,f208]) ).
fof(f1472,plain,
op2(e23,e21) != h4(e13),
inference(forward_demodulation,[status(thm)],[f287,f210]) ).
fof(f1476,plain,
( h4(e13) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f287,f112]) ).
fof(f1484,plain,
( h4(e13) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(forward_demodulation,[status(thm)],[f287,f113]) ).
fof(f1528,plain,
e10 != op1(e13,e13),
inference(backward_demodulation,[status(thm)],[f1544,f163]) ).
fof(f1529,plain,
op1(e13,e11) != e10,
inference(backward_demodulation,[status(thm)],[f1544,f161]) ).
fof(f1536,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(backward_demodulation,[status(thm)],[f1544,f1001]) ).
fof(f1537,plain,
op1(e10,e12) != e10,
inference(backward_demodulation,[status(thm)],[f1544,f130]) ).
fof(f1538,plain,
( op1(e13,e13) = e12
| e10 = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(backward_demodulation,[status(thm)],[f1544,f64]) ).
fof(f1541,plain,
( e10 = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(backward_demodulation,[status(thm)],[f1544,f730]) ).
fof(f1544,plain,
e10 = op1(e13,e12),
inference(forward_demodulation,[status(thm)],[f268,f266]) ).
fof(f1545,plain,
( op1(e13,e13) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[f1538,f213]) ).
fof(f1547,plain,
( op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[f1541,f213]) ).
fof(f1549,plain,
( op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(backward_subsumption_resolution,[status(thm)],[f61,f1528]) ).
fof(f1550,plain,
sP0_prd,
inference(backward_subsumption_resolution,[status(thm)],[f245,f1528]) ).
fof(f1564,plain,
e11 = op1(e13,op1(e12,e12)),
inference(forward_demodulation,[status(thm)],[f268,f267]) ).
fof(f1566,plain,
op1(e13,e11) != e11,
inference(backward_demodulation,[status(thm)],[f1574,f162]) ).
fof(f1567,plain,
op1(e13,e10) != e11,
inference(backward_demodulation,[status(thm)],[f1574,f160]) ).
fof(f1574,plain,
e11 = op1(e13,e13),
inference(forward_demodulation,[status(thm)],[f268,f1564]) ).
fof(f1577,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11 ),
inference(backward_subsumption_resolution,[status(thm)],[f33,f1529]) ).
fof(f1587,plain,
( op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(backward_subsumption_resolution,[status(thm)],[f39,f1567]) ).
fof(f1590,plain,
( h4(e13) = e22
| e20 = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(backward_demodulation,[status(thm)],[f1601,f1476]) ).
fof(f1592,plain,
op2(e23,e20) != e20,
inference(backward_demodulation,[status(thm)],[f1601,f207]) ).
fof(f1595,plain,
( e20 = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(backward_demodulation,[status(thm)],[f1601,f1388]) ).
fof(f1599,plain,
op2(e21,e22) != e20,
inference(backward_demodulation,[status(thm)],[f1601,f180]) ).
fof(f1600,plain,
op2(e20,e22) != e20,
inference(backward_demodulation,[status(thm)],[f1601,f178]) ).
fof(f1601,plain,
e20 = op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f271,f269]) ).
fof(f1602,plain,
( h4(e13) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1590,f219]) ).
fof(f1604,plain,
( op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1595,f219]) ).
fof(f1606,plain,
e21 = op2(e23,op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f271,f270]) ).
fof(f1607,plain,
e21 = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f271,f1606]) ).
fof(f1610,plain,
( e21 = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(backward_demodulation,[status(thm)],[f1628,f1484]) ).
fof(f1611,plain,
op2(e23,e21) != e21,
inference(backward_demodulation,[status(thm)],[f1628,f1472]) ).
fof(f1612,plain,
op2(e23,e20) != e21,
inference(backward_demodulation,[status(thm)],[f1628,f1466]) ).
fof(f1615,plain,
op2(e22,e23) != e21,
inference(backward_demodulation,[status(thm)],[f1628,f1338]) ).
fof(f1616,plain,
op2(e21,e23) != e21,
inference(backward_demodulation,[status(thm)],[f1628,f1334]) ).
fof(f1623,plain,
( e21 = e20
| sP4_prd ),
inference(backward_demodulation,[status(thm)],[f1628,f781]) ).
fof(f1624,plain,
e21 = op2(e23,e23),
inference(backward_demodulation,[status(thm)],[f1628,f287]) ).
fof(f1628,plain,
e21 = h4(e13),
inference(forward_demodulation,[status(thm)],[f287,f1607]) ).
fof(f1631,plain,
( op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1610,f221]) ).
fof(f1636,plain,
sP4_prd,
inference(forward_subsumption_resolution,[status(thm)],[f1623,f218]) ).
fof(f1638,plain,
h1(e10) = op2(h1(e13),e20),
inference(forward_demodulation,[status(thm)],[f275,f273]) ).
fof(f1655,plain,
h2(e10) = op2(h2(e13),e21),
inference(forward_demodulation,[status(thm)],[f279,f277]) ).
fof(f1665,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21 ),
inference(backward_subsumption_resolution,[status(thm)],[f80,f1592]) ).
fof(f1670,plain,
( op2(e20,e23) = e20
| op2(e20,e21) = e20
| h1(e13) = e20 ),
inference(backward_subsumption_resolution,[status(thm)],[f1109,f1600]) ).
fof(f1672,plain,
( op2(e22,e21) = e21
| h2(e13) = e21
| op2(e20,e21) = e21 ),
inference(backward_subsumption_resolution,[status(thm)],[f1264,f1611]) ).
fof(f1678,plain,
h3(e10) = op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f271,f281]) ).
fof(f1682,plain,
( e20 != e20
| ~ sP14_prd ),
inference(backward_demodulation,[status(thm)],[f1683,f411]) ).
fof(f1683,plain,
h3(e10) = e20,
inference(forward_demodulation,[status(thm)],[f1601,f1678]) ).
fof(f1685,plain,
~ sP14_prd,
inference(trivial_equality_resolution,[status(thm)],[f1682]) ).
fof(f1686,plain,
h3(e11) = op2(e23,op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f271,f282]) ).
fof(f1687,plain,
h3(e11) = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f271,f1686]) ).
fof(f1697,plain,
( op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(backward_subsumption_resolution,[status(thm)],[f1350,f1615]) ).
fof(f1700,plain,
( op2(e21,e22) = e21
| h2(e13) = e21
| op2(e21,e20) = e21 ),
inference(backward_subsumption_resolution,[status(thm)],[f1237,f1616]) ).
fof(f1705,plain,
h4(e10) = op2(h3(e11),e23),
inference(forward_demodulation,[status(thm)],[f1687,f285]) ).
fof(f1709,plain,
h4(e10) = op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f1713,f1705]) ).
fof(f1712,plain,
( e21 != e21
| ~ sP15_prd ),
inference(backward_demodulation,[status(thm)],[f1713,f418]) ).
fof(f1713,plain,
e21 = h3(e11),
inference(forward_demodulation,[status(thm)],[f1687,f1624]) ).
fof(f1716,plain,
~ sP15_prd,
inference(trivial_equality_resolution,[status(thm)],[f1712]) ).
fof(f1720,plain,
( e13 = e10
| sP20_prd
| ~ sP0_prd ),
inference(forward_demodulation,[status(thm)],[f268,f321]) ).
fof(f1721,plain,
( e13 = e10
| sP20_prd ),
inference(forward_subsumption_resolution,[status(thm)],[f1720,f1550]) ).
fof(f1734,plain,
op2(e21,e22) != h4(e10),
inference(backward_demodulation,[status(thm)],[f1709,f199]) ).
fof(f1739,plain,
( h4(e10) = e23
| h2(e13) = e23
| op2(e21,e20) = e23 ),
inference(backward_demodulation,[status(thm)],[f1709,f1295]) ).
fof(f1743,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[f949,f1537]) ).
fof(f1756,plain,
( e13 = e12
| sP22_prd
| ~ sP2_prd ),
inference(forward_demodulation,[status(thm)],[f268,f335]) ).
fof(f1757,plain,
( e13 = e12
| sP22_prd ),
inference(forward_subsumption_resolution,[status(thm)],[f1756,f779]) ).
fof(f1760,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(e20,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f1683,f1536]) ).
fof(f1761,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1683,f1760]) ).
fof(f1762,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f275,f1761]) ).
fof(f1763,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(e20,h3(e11))
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1683,f1762]) ).
fof(f1764,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1713,f1763]) ).
fof(f1765,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| 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),e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1683,f1764]) ).
fof(f1766,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1683,f1765]) ).
fof(f1767,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(e21,h3(e10))
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1713,f1766]) ).
fof(f1768,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1683,f1767]) ).
fof(f1769,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| h3(op1(e11,e11)) != op2(e21,h3(e11))
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1713,f1768]) ).
fof(f1770,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| h3(op1(e11,e11)) != op2(e21,e21)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1713,f1769]) ).
fof(f1771,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f279,f1770]) ).
fof(f1772,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1713,f1771]) ).
fof(f1773,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1713,f1772]) ).
fof(f1774,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1709,f1773]) ).
fof(f1775,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1683,f1774]) ).
fof(f1776,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1713,f1775]) ).
fof(f1777,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1683,f1776]) ).
fof(f1778,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| h3(e10) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1713,f1777]) ).
fof(f1779,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| e20 != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1683,f1778]) ).
fof(f1780,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e13)) != h4(e13)
| e20 != e20
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1601,f1779]) ).
fof(f1781,plain,
( sP15_prd
| sP14_prd
| h3(e11) != h4(e13)
| e20 != e20
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1574,f1780]) ).
fof(f1782,plain,
( sP15_prd
| sP14_prd
| e21 != h4(e13)
| e20 != e20
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1713,f1781]) ).
fof(f1783,plain,
( sP15_prd
| sP14_prd
| e21 != e21
| e20 != e20
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1628,f1782]) ).
fof(f1784,plain,
( sP15_prd
| sP14_prd
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(trivial_equality_resolution,[status(thm)],[f1783]) ).
fof(f1785,plain,
( sP15_prd
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_subsumption_resolution,[status(thm)],[f1784,f1685]) ).
fof(f1786,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(resolution,[status(thm)],[f1785,f1716]) ).
fof(f1805,plain,
( op2(e21,e22) = e22
| h1(e13) != e22 ),
inference(paramodulation,[status(thm)],[f1604,f1344]) ).
fof(f1828,plain,
( e23 = e20
| sP24_prd
| ~ sP4_prd ),
inference(forward_demodulation,[status(thm)],[f271,f349]) ).
fof(f1829,plain,
( e23 = e20
| sP24_prd ),
inference(forward_subsumption_resolution,[status(thm)],[f1828,f1636]) ).
fof(f1836,plain,
( e23 = e22
| sP26_prd
| ~ sP6_prd ),
inference(forward_demodulation,[status(thm)],[f271,f363]) ).
fof(f1837,plain,
( e23 = e22
| sP26_prd ),
inference(forward_subsumption_resolution,[status(thm)],[f1836,f866]) ).
fof(f1864,plain,
( e11 = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(forward_demodulation,[status(thm)],[f1574,f1011]) ).
fof(f1865,plain,
( op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(forward_subsumption_resolution,[status(thm)],[f1864,f216]) ).
fof(f1888,plain,
( e13 = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10 ),
inference(resolution,[status(thm)],[f447,f1721]) ).
fof(f1889,plain,
( op1(e11,e11) = e10
| op1(e10,e10) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1888,f214]) ).
fof(f1950,plain,
( op1(e11,e11) = e10
| ~ sP20_prd ),
inference(forward_subsumption_resolution,[status(thm)],[f449,f1889]) ).
fof(f1952,plain,
( e13 = e10
| op1(e11,e11) = e10 ),
inference(resolution,[status(thm)],[f1950,f1721]) ).
fof(f1953,plain,
op1(e11,e11) = e10,
inference(forward_subsumption_resolution,[status(thm)],[f1952,f214]) ).
fof(f2010,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(e10) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(backward_demodulation,[status(thm)],[f1953,f1786]) ).
fof(f2013,plain,
e10 != op1(e11,e13),
inference(backward_demodulation,[status(thm)],[f1953,f150]) ).
fof(f2017,plain,
e10 != op1(e12,e11),
inference(backward_demodulation,[status(thm)],[f1953,f125]) ).
fof(f2043,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| e20 != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1683,f2010]) ).
fof(f2062,plain,
( op1(e12,e11) = e12
| op1(e12,e11) = e11 ),
inference(backward_subsumption_resolution,[status(thm)],[f1151,f2017]) ).
fof(f2063,plain,
( op1(e12,e13) = e10
| op1(e12,e10) = e10 ),
inference(backward_subsumption_resolution,[status(thm)],[f686,f2017]) ).
fof(f2085,plain,
( e11 = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f1574,f1157]) ).
fof(f2086,plain,
( op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(forward_subsumption_resolution,[status(thm)],[f2085,f216]) ).
fof(f2104,plain,
( op1(e12,e11) = e11
| e12 != op1(e13,e11) ),
inference(paramodulation,[status(thm)],[f2062,f127]) ).
fof(f2119,plain,
( e10 = e12
| op1(e10,e10) = e12
| ~ sP22_prd ),
inference(forward_demodulation,[status(thm)],[f1953,f461]) ).
fof(f2120,plain,
( op1(e10,e10) = e12
| ~ sP22_prd ),
inference(forward_subsumption_resolution,[status(thm)],[f2119,f213]) ).
fof(f2121,plain,
( e13 = e12
| op1(e10,e10) = e12 ),
inference(resolution,[status(thm)],[f2120,f1757]) ).
fof(f2122,plain,
op1(e10,e10) = e12,
inference(forward_subsumption_resolution,[status(thm)],[f2121,f217]) ).
fof(f2139,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| e20 != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(e12) != h1(e13) ),
inference(backward_demodulation,[status(thm)],[f2122,f2043]) ).
fof(f2142,plain,
( op1(e10,e13) = e13
| op1(e10,e11) = e13
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f2122,f948]) ).
fof(f2144,plain,
e12 != op1(e10,e12),
inference(backward_demodulation,[status(thm)],[f2122,f141]) ).
fof(f2146,plain,
e12 != op1(e13,e10),
inference(backward_demodulation,[status(thm)],[f2122,f118]) ).
fof(f2147,plain,
e12 != op1(e12,e10),
inference(backward_demodulation,[status(thm)],[f2122,f117]) ).
fof(f2156,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| e20 != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f280,f2139]) ).
fof(f2158,plain,
( op1(e10,e13) = e13
| op1(e10,e11) = e13 ),
inference(forward_subsumption_resolution,[status(thm)],[f2142,f217]) ).
fof(f2160,plain,
op1(e11,e12) = e12,
inference(backward_subsumption_resolution,[status(thm)],[f1547,f2144]) ).
fof(f2162,plain,
op1(e10,e12) = e11,
inference(backward_subsumption_resolution,[status(thm)],[f1743,f2144]) ).
fof(f2170,plain,
( op2(e20,e22) = e22
| op2(e20,e22) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f1280,f1600]) ).
fof(f2175,plain,
( op2(e20,e22) = e21
| h1(e13) != e22 ),
inference(paramodulation,[status(thm)],[f2170,f1344]) ).
fof(f2179,plain,
( op1(e12,e13) = e12
| op1(e12,e11) = e12 ),
inference(backward_subsumption_resolution,[status(thm)],[f722,f2147]) ).
fof(f2200,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| e20 != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(e11) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f2162,f2156]) ).
fof(f2201,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e12)) != op2(e21,e22)
| e20 != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| e21 != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1713,f2200]) ).
fof(f2202,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(e12) != op2(e21,e22)
| e20 != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| e21 != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f2160,f2201]) ).
fof(f2203,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| e22 != op2(e21,e22)
| e20 != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| e21 != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f280,f2202]) ).
fof(f2204,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| e20 != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| e21 != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_subsumption_resolution,[status(thm)],[f2203,f1805]) ).
fof(f2215,plain,
( op2(e21,e22) = e22
| op2(e21,e22) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f1284,f1599]) ).
fof(f2219,plain,
( op2(e21,e22) = e21
| e22 != h4(e10) ),
inference(paramodulation,[status(thm)],[f2215,f1734]) ).
fof(f2226,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| e20 != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(backward_subsumption_resolution,[status(thm)],[f2204,f2175]) ).
fof(f2297,plain,
( op1(e12,e13) = e12
| e12 != op1(e13,e11) ),
inference(paramodulation,[status(thm)],[f2179,f127]) ).
fof(f2376,plain,
( op2(e21,e21) = e20
| h1(e13) = e20
| ~ sP24_prd ),
inference(forward_demodulation,[status(thm)],[f275,f475]) ).
fof(f2377,plain,
( h2(e13) = e20
| h1(e13) = e20
| ~ sP24_prd ),
inference(forward_demodulation,[status(thm)],[f279,f2376]) ).
fof(f2379,plain,
( e23 = e20
| h2(e13) = e20
| h1(e13) = e20 ),
inference(resolution,[status(thm)],[f2377,f1829]) ).
fof(f2380,plain,
( h2(e13) = e20
| h1(e13) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[f2379,f220]) ).
fof(f2405,plain,
( op2(e21,e21) = e20
| h1(e13) != e20
| ~ sP24_prd ),
inference(forward_demodulation,[status(thm)],[f275,f477]) ).
fof(f2406,plain,
( h2(e13) = e20
| h1(e13) != e20
| ~ sP24_prd ),
inference(forward_demodulation,[status(thm)],[f279,f2405]) ).
fof(f2407,plain,
( h2(e13) = e20
| ~ sP24_prd ),
inference(forward_subsumption_resolution,[status(thm)],[f2406,f2380]) ).
fof(f2409,plain,
( e23 = e20
| h2(e13) = e20 ),
inference(resolution,[status(thm)],[f2407,f1829]) ).
fof(f2410,plain,
h2(e13) = e20,
inference(forward_subsumption_resolution,[status(thm)],[f2409,f220]) ).
fof(f2444,plain,
( op2(e23,e21) = e23
| e20 = e23
| op2(e20,e21) = e23 ),
inference(backward_demodulation,[status(thm)],[f2410,f1431]) ).
fof(f2446,plain,
( h4(e10) = e23
| e20 = e23
| op2(e21,e20) = e23 ),
inference(backward_demodulation,[status(thm)],[f2410,f1739]) ).
fof(f2450,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| e20 != e20
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(backward_demodulation,[status(thm)],[f2410,f2226]) ).
fof(f2461,plain,
h2(e10) = op2(e20,e21),
inference(backward_demodulation,[status(thm)],[f2410,f1655]) ).
fof(f2466,plain,
e20 != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f2410,f1259]) ).
fof(f2467,plain,
op2(e20,e21) != e20,
inference(backward_demodulation,[status(thm)],[f2410,f1228]) ).
fof(f2472,plain,
e20 = op2(e21,e21),
inference(backward_demodulation,[status(thm)],[f2410,f279]) ).
fof(f2483,plain,
( op2(e23,e21) = e23
| op2(e20,e21) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[f2444,f220]) ).
fof(f2485,plain,
( h4(e10) = e23
| op2(e21,e20) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[f2446,f220]) ).
fof(f2489,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(trivial_equality_resolution,[status(thm)],[f2450]) ).
fof(f2507,plain,
( e11 = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f1574,f1545]) ).
fof(f2508,plain,
( e11 = e12
| op1(e13,e11) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[f2507,f2146]) ).
fof(f2509,plain,
( op1(e12,e13) = e12
| e11 = e12 ),
inference(resolution,[status(thm)],[f2508,f2297]) ).
fof(f2510,plain,
( op1(e12,e11) = e11
| e11 = e12 ),
inference(resolution,[status(thm)],[f2508,f2104]) ).
fof(f2520,plain,
op1(e12,e13) = e12,
inference(forward_subsumption_resolution,[status(thm)],[f2509,f215]) ).
fof(f2521,plain,
op1(e12,e11) = e11,
inference(forward_subsumption_resolution,[status(thm)],[f2510,f215]) ).
fof(f2535,plain,
( op2(e22,e23) = e20
| op2(e22,e20) = e20 ),
inference(backward_subsumption_resolution,[status(thm)],[f1325,f2466]) ).
fof(f2577,plain,
( op1(e12,e13) = e10
| op1(e10,e13) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1549,f2013]) ).
fof(f2589,plain,
( e12 = e10
| op1(e10,e13) = e10 ),
inference(backward_demodulation,[status(thm)],[f2520,f2577]) ).
fof(f2600,plain,
( e12 = e10
| op1(e12,e10) = e10 ),
inference(backward_demodulation,[status(thm)],[f2520,f2063]) ).
fof(f2608,plain,
op1(e10,e13) = e10,
inference(forward_subsumption_resolution,[status(thm)],[f2589,f213]) ).
fof(f2615,plain,
op1(e12,e10) = e10,
inference(forward_subsumption_resolution,[status(thm)],[f2600,f213]) ).
fof(f2624,plain,
( e10 = e13
| op1(e10,e11) = e13 ),
inference(backward_demodulation,[status(thm)],[f2608,f2158]) ).
fof(f2626,plain,
( op1(e11,e13) = e13
| e10 = e13 ),
inference(backward_demodulation,[status(thm)],[f2608,f2086]) ).
fof(f2630,plain,
op1(e10,e11) = e13,
inference(forward_subsumption_resolution,[status(thm)],[f2624,f214]) ).
fof(f2631,plain,
op1(e11,e13) = e13,
inference(forward_subsumption_resolution,[status(thm)],[f2626,f214]) ).
fof(f2641,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(e10) != op2(e20,e23)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f2608,f2489]) ).
fof(f2642,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1683,f2641]) ).
fof(f2643,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(e11) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f2521,f2642]) ).
fof(f2644,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e13)) != op2(e22,e23)
| e21 != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1713,f2643]) ).
fof(f2645,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(e12) != op2(e22,e23)
| e21 != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f2520,f2644]) ).
fof(f2646,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f280,f2645]) ).
fof(f2664,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| h3(e10) != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(backward_demodulation,[status(thm)],[f2615,f2646]) ).
fof(f2670,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| h3(op1(e10,e11)) != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1683,f2664]) ).
fof(f2679,plain,
e13 != op1(e13,e11),
inference(backward_demodulation,[status(thm)],[f2630,f124]) ).
fof(f2686,plain,
op1(e13,e10) = e13,
inference(backward_subsumption_resolution,[status(thm)],[f1865,f2679]) ).
fof(f2694,plain,
( op2(e21,e21) = e22
| h1(e13) = e22
| ~ sP26_prd ),
inference(forward_demodulation,[status(thm)],[f275,f489]) ).
fof(f2695,plain,
( e20 = e22
| h1(e13) = e22
| ~ sP26_prd ),
inference(forward_demodulation,[status(thm)],[f2472,f2694]) ).
fof(f2696,plain,
( h1(e13) = e22
| ~ sP26_prd ),
inference(forward_subsumption_resolution,[status(thm)],[f2695,f219]) ).
fof(f2697,plain,
( e23 = e22
| h1(e13) = e22 ),
inference(resolution,[status(thm)],[f2696,f1837]) ).
fof(f2698,plain,
h1(e13) = e22,
inference(forward_subsumption_resolution,[status(thm)],[f2697,f223]) ).
fof(f2703,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| h3(e13) != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f2630,f2670]) ).
fof(f2704,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != op2(e22,e20)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f760,f2703]) ).
fof(f2705,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != op2(e22,e20)
| h3(e13) != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f2631,f2704]) ).
fof(f2706,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != op2(e22,e20)
| e23 != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f760,f2705]) ).
fof(f2707,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| h3(e13) != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != op2(e22,e20)
| e23 != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f2686,f2706]) ).
fof(f2708,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| e23 != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != op2(e22,e20)
| e23 != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != op2(e20,e21)
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f760,f2707]) ).
fof(f2749,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| e23 != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != op2(e22,e20)
| e23 != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != op2(e20,e21)
| e22 != e22 ),
inference(backward_demodulation,[status(thm)],[f2698,f2708]) ).
fof(f2759,plain,
( op2(e20,e22) = e21
| e22 != e22 ),
inference(backward_demodulation,[status(thm)],[f2698,f2175]) ).
fof(f2762,plain,
( op2(e21,e22) = e22
| e22 != e22 ),
inference(backward_demodulation,[status(thm)],[f2698,f1805]) ).
fof(f2764,plain,
h1(e10) = op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f2698,f1638]) ).
fof(f2765,plain,
e22 != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f2698,f1346]) ).
fof(f2768,plain,
e22 != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f2698,f1218]) ).
fof(f2776,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| e23 != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != op2(e22,e20)
| e23 != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != op2(e20,e21) ),
inference(trivial_equality_resolution,[status(thm)],[f2749]) ).
fof(f2782,plain,
op2(e20,e22) = e21,
inference(trivial_equality_resolution,[status(thm)],[f2759]) ).
fof(f2784,plain,
op2(e21,e22) = e22,
inference(trivial_equality_resolution,[status(thm)],[f2762]) ).
fof(f2789,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[f1577,f1566]) ).
fof(f2806,plain,
op2(e20,e21) != e21,
inference(backward_demodulation,[status(thm)],[f2782,f191]) ).
fof(f2810,plain,
( e22 = e21
| e22 != h4(e10) ),
inference(backward_demodulation,[status(thm)],[f2784,f2219]) ).
fof(f2817,plain,
e22 != h4(e10),
inference(forward_subsumption_resolution,[status(thm)],[f2810,f221]) ).
fof(f2910,plain,
h2(e10) != e21,
inference(backward_demodulation,[status(thm)],[f2461,f2806]) ).
fof(f2911,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| e23 != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != op2(e22,e20)
| e23 != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != h2(e10) ),
inference(backward_demodulation,[status(thm)],[f2461,f2776]) ).
fof(f2913,plain,
h2(e10) != e20,
inference(backward_demodulation,[status(thm)],[f2461,f2467]) ).
fof(f2923,plain,
( op2(e22,e21) = e21
| h1(e10) = e21 ),
inference(backward_demodulation,[status(thm)],[f2764,f1697]) ).
fof(f2926,plain,
h1(e10) != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f2764,f200]) ).
fof(f2936,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| e23 != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != h1(e10)
| e23 != h4(e10)
| h3(op1(e11,e10)) != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != h2(e10) ),
inference(forward_demodulation,[status(thm)],[f2764,f2911]) ).
fof(f2966,plain,
( op1(e12,e10) = e11
| op1(e11,e10) = e11
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f2122,f1587]) ).
fof(f2967,plain,
( e10 = e11
| op1(e11,e10) = e11
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f2615,f2966]) ).
fof(f2968,plain,
( e10 = e11
| op1(e11,e10) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[f2967,f215]) ).
fof(f2969,plain,
( e10 = e11
| h3(op1(e13,e11)) != op2(e23,e21)
| e23 != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != h1(e10)
| e23 != h4(e10)
| h3(e11) != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != h2(e10) ),
inference(paramodulation,[status(thm)],[f2968,f2936]) ).
fof(f2973,plain,
( e10 = e11
| h3(op1(e13,e11)) != op2(e23,e21)
| e23 != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != h1(e10)
| e23 != h4(e10)
| e21 != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != h2(e10) ),
inference(forward_demodulation,[status(thm)],[f1713,f2969]) ).
fof(f2974,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| e23 != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != h1(e10)
| e23 != h4(e10)
| e21 != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != h2(e10) ),
inference(forward_subsumption_resolution,[status(thm)],[f2973,f212]) ).
fof(f2979,plain,
( e21 = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f1628,f1602]) ).
fof(f2980,plain,
( e21 = e22
| op2(e23,e21) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f2979,f2768]) ).
fof(f2985,plain,
( op2(e22,e23) = e22
| h4(e10) = e22
| op2(e20,e23) = e22 ),
inference(forward_demodulation,[status(thm)],[f1709,f1631]) ).
fof(f2986,plain,
( op2(e22,e23) = e22
| h4(e10) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f2985,f2765]) ).
fof(f2993,plain,
( op1(e13,e11) = e13
| h3(e12) != op2(e23,e21)
| e23 != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != h1(e10)
| e23 != h4(e10)
| e21 != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != h2(e10) ),
inference(paramodulation,[status(thm)],[f2789,f2974]) ).
fof(f2995,plain,
( op1(e13,e11) = e13
| e22 != op2(e23,e21)
| e23 != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != h1(e10)
| e23 != h4(e10)
| e21 != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != h2(e10) ),
inference(forward_demodulation,[status(thm)],[f280,f2993]) ).
fof(f2996,plain,
( e22 != op2(e23,e21)
| e23 != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != h1(e10)
| e23 != h4(e10)
| e21 != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != h2(e10) ),
inference(forward_subsumption_resolution,[status(thm)],[f2995,f2679]) ).
fof(f3047,plain,
( h4(e10) = e23
| e23 != op2(e23,e20) ),
inference(paramodulation,[status(thm)],[f2485,f168]) ).
fof(f3099,plain,
( e22 != op2(e23,e21)
| e23 != op2(e23,e20)
| e22 != op2(e22,e23)
| e21 != op2(e22,e21)
| e20 != h1(e10)
| e21 != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != h2(e10) ),
inference(backward_subsumption_resolution,[status(thm)],[f2996,f3047]) ).
fof(f3117,plain,
( op2(e23,e21) = e23
| h2(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f2461,f2483]) ).
fof(f3131,plain,
( op2(e22,e23) = e20
| h1(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f2764,f2535]) ).
fof(f3138,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1665,f1612]) ).
fof(f3139,plain,
op2(e23,e20) = e23,
inference(resolution,[status(thm)],[f3138,f2768]) ).
fof(f3159,plain,
( h4(e10) = e22
| e22 != op2(e23,e21)
| e23 != op2(e23,e20)
| e21 != op2(e22,e21)
| e20 != h1(e10)
| e21 != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != h2(e10) ),
inference(resolution,[status(thm)],[f3099,f2986]) ).
fof(f3163,plain,
( e22 != op2(e23,e21)
| e23 != op2(e23,e20)
| e21 != op2(e22,e21)
| e20 != h1(e10)
| e21 != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != h2(e10) ),
inference(forward_subsumption_resolution,[status(thm)],[f3159,f2817]) ).
fof(f3170,plain,
( e21 = e22
| e23 != op2(e23,e20)
| e21 != op2(e22,e21)
| e20 != h1(e10)
| e21 != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != h2(e10) ),
inference(resolution,[status(thm)],[f3163,f2980]) ).
fof(f3174,plain,
( e23 != op2(e23,e20)
| e21 != op2(e22,e21)
| e20 != h1(e10)
| e21 != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != h2(e10) ),
inference(forward_subsumption_resolution,[status(thm)],[f3170,f221]) ).
fof(f3238,plain,
( h4(e10) = e23
| e23 != e23 ),
inference(backward_demodulation,[status(thm)],[f3139,f3047]) ).
fof(f3244,plain,
e23 != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f3139,f206]) ).
fof(f3247,plain,
h4(e10) = e23,
inference(trivial_equality_resolution,[status(thm)],[f3238]) ).
fof(f3249,plain,
( op2(e22,e23) = e22
| e23 = e22 ),
inference(backward_demodulation,[status(thm)],[f3247,f2986]) ).
fof(f3258,plain,
op2(e22,e23) = e22,
inference(forward_subsumption_resolution,[status(thm)],[f3249,f223]) ).
fof(f3259,plain,
h2(e10) = e23,
inference(backward_subsumption_resolution,[status(thm)],[f3117,f3244]) ).
fof(f3262,plain,
( op2(e20,e23) = e20
| op2(e20,e21) = e20
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f2698,f1670]) ).
fof(f3263,plain,
( op2(e20,e23) = e20
| h2(e10) = e20
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f2461,f3262]) ).
fof(f3264,plain,
( op2(e20,e23) = e20
| h2(e10) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[f3263,f219]) ).
fof(f3265,plain,
op2(e20,e23) = e20,
inference(resolution,[status(thm)],[f3264,f2913]) ).
fof(f3272,plain,
( op2(e22,e21) = e21
| h2(e13) = e21
| h2(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f2461,f1672]) ).
fof(f3273,plain,
( op2(e22,e21) = e21
| e20 = e21
| h2(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f2410,f3272]) ).
fof(f3274,plain,
( op2(e22,e21) = e21
| e20 = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f3273,f2910]) ).
fof(f3277,plain,
( e20 = e21
| h1(e10) != e21 ),
inference(paramodulation,[status(thm)],[f3274,f2926]) ).
fof(f3283,plain,
h1(e10) != e21,
inference(forward_subsumption_resolution,[status(thm)],[f3277,f218]) ).
fof(f3310,plain,
op2(e22,e21) = e21,
inference(backward_subsumption_resolution,[status(thm)],[f2923,f3283]) ).
fof(f3314,plain,
( e22 = e20
| h1(e10) = e20 ),
inference(backward_demodulation,[status(thm)],[f3258,f3131]) ).
fof(f3322,plain,
h1(e10) = e20,
inference(forward_subsumption_resolution,[status(thm)],[f3314,f219]) ).
fof(f3335,plain,
( op2(e21,e22) = e21
| e20 = e21
| op2(e21,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f2410,f1700]) ).
fof(f3336,plain,
( e22 = e21
| e20 = e21
| op2(e21,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f2784,f3335]) ).
fof(f3337,plain,
( e22 = e21
| op2(e21,e20) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[f3336,f218]) ).
fof(f3341,plain,
( e23 != op2(e23,e20)
| e21 != op2(e22,e21)
| e20 != h1(e10)
| e21 != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3259,f3174]) ).
fof(f3342,plain,
( e23 != op2(e23,e20)
| e21 != op2(e22,e21)
| e20 != e20
| e21 != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3322,f3341]) ).
fof(f3343,plain,
( e23 != e23
| e21 != op2(e22,e21)
| e20 != e20
| e21 != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3139,f3342]) ).
fof(f3344,plain,
( e21 != op2(e22,e21)
| e20 != e20
| e21 != op2(e21,e20)
| e20 != op2(e20,e23)
| e23 != e23 ),
inference(duplicate_literals_removal,[status(thm)],[f3343]) ).
fof(f3345,plain,
( e21 != op2(e22,e21)
| e21 != op2(e21,e20)
| e20 != op2(e20,e23) ),
inference(trivial_equality_resolution,[status(thm)],[f3344]) ).
fof(f3371,plain,
( e21 != op2(e22,e21)
| e21 != op2(e21,e20)
| e20 != e20 ),
inference(backward_demodulation,[status(thm)],[f3265,f3345]) ).
fof(f3374,plain,
( e21 != op2(e22,e21)
| e21 != op2(e21,e20) ),
inference(trivial_equality_resolution,[status(thm)],[f3371]) ).
fof(f3384,plain,
( e21 != e21
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3310,f3374]) ).
fof(f3386,plain,
e22 = e21,
inference(backward_subsumption_resolution,[status(thm)],[f3337,f3387]) ).
fof(f3387,plain,
e21 != op2(e21,e20),
inference(trivial_equality_resolution,[status(thm)],[f3384]) ).
fof(f3388,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3386,f221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG114+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n014.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 12:56:34 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.51 % Drodi V4.1.1
% 0.19/0.63 % Refutation found
% 0.19/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.30/0.69 % Elapsed time: 0.216282 seconds
% 0.30/0.69 % CPU time: 0.884618 seconds
% 0.30/0.69 % Total memory used: 135.122 MB
% 0.30/0.69 % Net memory used: 134.653 MB
%------------------------------------------------------------------------------