TSTP Solution File: ALG114+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG114+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:09:55 EDT 2024
% Result : Theorem 0.19s 0.51s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 241
% Syntax : Number of formulae : 1123 ( 188 unt; 0 def)
% Number of atoms : 3792 (2160 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 4368 (1699 ~;1787 |; 658 &)
% ( 188 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 226 ( 224 usr; 225 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(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e11) = e10
& op1(e10,e10) != e11 )
| ( op1(e12,e12) = e10
& op1(e10,e10) != e12 )
| ( op1(e13,e13) = e10
& op1(e10,e10) != e13 ) )
& ( ( op1(e10,e10) = e11
& op1(e11,e11) != e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 )
| ( op1(e12,e12) = e11
& op1(e11,e11) != e12 )
| ( op1(e13,e13) = e11
& op1(e11,e11) != e13 ) )
& ( ( op1(e10,e10) = e12
& op1(e12,e12) != e10 )
| ( op1(e11,e11) = e12
& op1(e12,e12) != e11 )
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 )
| ( op1(e13,e13) = e12
& op1(e12,e12) != e13 ) )
& ( ( op1(e10,e10) = e13
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e13
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e13
& op1(e13,e13) != e12 )
| ( op1(e13,e13) = e13
& op1(e13,e13) != e13 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e21) = e20
& op2(e20,e20) != e21 )
| ( op2(e22,e22) = e20
& op2(e20,e20) != e22 )
| ( op2(e23,e23) = e20
& op2(e20,e20) != e23 ) )
& ( ( op2(e20,e20) = e21
& op2(e21,e21) != e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 )
| ( op2(e22,e22) = e21
& op2(e21,e21) != e22 )
| ( op2(e23,e23) = e21
& op2(e21,e21) != e23 ) )
& ( ( op2(e20,e20) = e22
& op2(e22,e22) != e20 )
| ( op2(e21,e21) = e22
& op2(e22,e22) != e21 )
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 )
| ( op2(e23,e23) = e22
& op2(e22,e22) != e23 ) )
& ( ( op2(e20,e20) = e23
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e23
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e23
& op2(e23,e23) != e22 )
| ( op2(e23,e23) = e23
& op2(e23,e23) != e23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e12) = e20
& h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e13) = op2(e20,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e12) = e21
& h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e13) = op2(e21,e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e12) = e22
& h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e13) = op2(e22,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e12) = e23
& h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e13) = op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f22,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f23,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f32,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f34,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f35,plain,
( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f37,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f39,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f42,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f47,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f50,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f57,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f58,plain,
( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f64,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f65,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f67,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f70,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f74,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f75,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f76,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f77,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f80,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f87,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f99,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f108,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f109,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f112,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f113,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f120,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f129,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f130,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f133,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f136,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f141,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f150,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f151,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f152,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f153,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f157,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f162,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f164,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f165,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f166,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f167,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f171,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f173,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f175,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f176,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f177,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f178,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f179,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f180,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f186,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f194,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f195,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f198,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f199,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f200,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f201,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f203,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f204,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f205,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f208,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f209,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f211,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f212,plain,
e10 != e11,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f213,plain,
e10 != e12,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f214,plain,
e10 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f216,plain,
e11 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f217,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f218,plain,
e20 != e21,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f219,plain,
e20 != e22,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f222,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f223,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f240,plain,
( pd0_0
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e11) = e10
& op1(e10,e10) != e11 )
| ( op1(e12,e12) = e10
& op1(e10,e10) != e12 ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f241,plain,
( pd0_1
=> ( ( op1(e10,e10) = e11
& op1(e11,e11) != e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 )
| ( op1(e12,e12) = e11
& op1(e11,e11) != e12 ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f242,plain,
( pd0_2
=> ( ( op1(e10,e10) = e12
& op1(e12,e12) != e10 )
| ( op1(e11,e11) = e12
& op1(e12,e12) != e11 )
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f243,plain,
( pd0_3
=> ( ( op1(e10,e10) = e13
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e13
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e13
& op1(e13,e13) != e12 ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f244,plain,
( ( pd0_0
| ( op1(e13,e13) = e10
& op1(e10,e10) != e13 ) )
& ( pd0_1
| ( op1(e13,e13) = e11
& op1(e11,e11) != e13 ) )
& ( pd0_2
| ( op1(e13,e13) = e12
& op1(e12,e12) != e13 ) )
& ( pd0_3
| ( op1(e13,e13) = e13
& op1(e13,e13) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f10,f243,f242,f241,f240]) ).
fof(f245,plain,
( pd0_0
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f248,plain,
( pd0_1
| op1(e11,e11) != e13 ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f250,plain,
( pd0_2
| op1(e12,e12) != e13 ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f251,plain,
( pd0_3
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f253,plain,
( pd0_4
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e21) = e20
& op2(e20,e20) != e21 )
| ( op2(e22,e22) = e20
& op2(e20,e20) != e22 ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f254,plain,
( pd0_5
=> ( ( op2(e20,e20) = e21
& op2(e21,e21) != e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 )
| ( op2(e22,e22) = e21
& op2(e21,e21) != e22 ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f255,plain,
( pd0_6
=> ( ( op2(e20,e20) = e22
& op2(e22,e22) != e20 )
| ( op2(e21,e21) = e22
& op2(e22,e22) != e21 )
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f256,plain,
( pd0_7
=> ( ( op2(e20,e20) = e23
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e23
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e23
& op2(e23,e23) != e22 ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f257,plain,
( ( pd0_4
| ( op2(e23,e23) = e20
& op2(e20,e20) != e23 ) )
& ( pd0_5
| ( op2(e23,e23) = e21
& op2(e21,e21) != e23 ) )
& ( pd0_6
| ( op2(e23,e23) = e22
& op2(e22,e22) != e23 ) )
& ( pd0_7
| ( op2(e23,e23) = e23
& op2(e23,e23) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f11,f256,f255,f254,f253]) ).
fof(f258,plain,
( pd0_4
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f261,plain,
( pd0_5
| op2(e21,e21) != e23 ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f263,plain,
( pd0_6
| op2(e22,e22) != e23 ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f264,plain,
( pd0_7
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f266,plain,
e10 = op1(op1(e12,e12),e12),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f267,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f268,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f269,plain,
e20 = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f270,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f271,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f272,plain,
h1(e12) = e20,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f273,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f274,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f275,plain,
h1(e13) = op2(e20,e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f276,plain,
h2(e12) = e21,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f277,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f278,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f279,plain,
h2(e13) = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f280,plain,
h3(e12) = e22,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f281,plain,
h3(e10) = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f282,plain,
h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f283,plain,
h3(e13) = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f284,plain,
h4(e12) = e23,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f285,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f286,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f287,plain,
h4(e13) = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f288,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 )
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 )
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f289,plain,
( pd0_8
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f288]) ).
fof(f290,plain,
( pd0_9
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f288]) ).
fof(f291,plain,
( pd0_10
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f288]) ).
fof(f292,plain,
( pd0_11
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f288]) ).
fof(f293,plain,
( pd0_12
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f288]) ).
fof(f294,plain,
( pd0_13
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f288]) ).
fof(f295,plain,
( pd0_14
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f288]) ).
fof(f296,plain,
( pd0_15
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f288]) ).
fof(f297,plain,
( pd0_16
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f288]) ).
fof(f298,plain,
( pd0_17
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f288]) ).
fof(f299,plain,
( pd0_18
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f288]) ).
fof(f300,plain,
( pd0_19
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f288]) ).
fof(f301,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| pd0_8
| pd0_9
| pd0_10
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| pd0_11
| pd0_12
| pd0_13
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_14
| pd0_15
| pd0_16
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| pd0_17
| pd0_18
| pd0_19
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f288,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289]) ).
fof(f306,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| pd0_11
| pd0_12
| pd0_13
| h2(e10) != e23 ),
inference(cnf_transformation,[status(esa)],[f301]) ).
fof(f318,plain,
( ~ pd0_0
| ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e11) = e10
& op1(e10,e10) != e11 )
| ( op1(e12,e12) = e10
& op1(e10,e10) != e12 ) ),
inference(pre_NNF_transformation,[status(esa)],[f240]) ).
fof(f319,plain,
( pd0_20
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e11) = e10
& op1(e10,e10) != e11 ) ) ),
introduced(predicate_definition,[f318]) ).
fof(f320,plain,
( ~ pd0_0
| pd0_20
| ( op1(e12,e12) = e10
& op1(e10,e10) != e12 ) ),
inference(formula_renaming,[status(thm)],[f318,f319]) ).
fof(f321,plain,
( ~ pd0_0
| pd0_20
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[status(esa)],[f320]) ).
fof(f323,plain,
( ~ pd0_1
| ( op1(e10,e10) = e11
& op1(e11,e11) != e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 )
| ( op1(e12,e12) = e11
& op1(e11,e11) != e12 ) ),
inference(pre_NNF_transformation,[status(esa)],[f241]) ).
fof(f324,plain,
( pd0_21
=> ( ( op1(e10,e10) = e11
& op1(e11,e11) != e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 ) ) ),
introduced(predicate_definition,[f323]) ).
fof(f325,plain,
( ~ pd0_1
| pd0_21
| ( op1(e12,e12) = e11
& op1(e11,e11) != e12 ) ),
inference(formula_renaming,[status(thm)],[f323,f324]) ).
fof(f326,plain,
( ~ pd0_1
| pd0_21
| op1(e12,e12) = e11 ),
inference(cnf_transformation,[status(esa)],[f325]) ).
fof(f328,plain,
( ~ pd0_2
| ( op1(e10,e10) = e12
& op1(e12,e12) != e10 )
| ( op1(e11,e11) = e12
& op1(e12,e12) != e11 )
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 ) ),
inference(pre_NNF_transformation,[status(esa)],[f242]) ).
fof(f329,plain,
( pd0_22
=> ( ( op1(e10,e10) = e12
& op1(e12,e12) != e10 )
| ( op1(e11,e11) = e12
& op1(e12,e12) != e11 ) ) ),
introduced(predicate_definition,[f328]) ).
fof(f330,plain,
( ~ pd0_2
| pd0_22
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 ) ),
inference(formula_renaming,[status(thm)],[f328,f329]) ).
fof(f331,plain,
( ~ pd0_2
| pd0_22
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f330]) ).
fof(f333,plain,
( ~ pd0_3
| ( op1(e10,e10) = e13
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e13
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e13
& op1(e13,e13) != e12 ) ),
inference(pre_NNF_transformation,[status(esa)],[f243]) ).
fof(f334,plain,
( pd0_23
=> ( ( op1(e10,e10) = e13
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e13
& op1(e13,e13) != e11 ) ) ),
introduced(predicate_definition,[f333]) ).
fof(f338,plain,
( ~ pd0_4
| ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e21) = e20
& op2(e20,e20) != e21 )
| ( op2(e22,e22) = e20
& op2(e20,e20) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f253]) ).
fof(f339,plain,
( pd0_24
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e21) = e20
& op2(e20,e20) != e21 ) ) ),
introduced(predicate_definition,[f338]) ).
fof(f340,plain,
( ~ pd0_4
| pd0_24
| ( op2(e22,e22) = e20
& op2(e20,e20) != e22 ) ),
inference(formula_renaming,[status(thm)],[f338,f339]) ).
fof(f341,plain,
( ~ pd0_4
| pd0_24
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[status(esa)],[f340]) ).
fof(f343,plain,
( ~ pd0_5
| ( op2(e20,e20) = e21
& op2(e21,e21) != e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 )
| ( op2(e22,e22) = e21
& op2(e21,e21) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f254]) ).
fof(f344,plain,
( pd0_25
=> ( ( op2(e20,e20) = e21
& op2(e21,e21) != e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 ) ) ),
introduced(predicate_definition,[f343]) ).
fof(f345,plain,
( ~ pd0_5
| pd0_25
| ( op2(e22,e22) = e21
& op2(e21,e21) != e22 ) ),
inference(formula_renaming,[status(thm)],[f343,f344]) ).
fof(f346,plain,
( ~ pd0_5
| pd0_25
| op2(e22,e22) = e21 ),
inference(cnf_transformation,[status(esa)],[f345]) ).
fof(f348,plain,
( ~ pd0_6
| ( op2(e20,e20) = e22
& op2(e22,e22) != e20 )
| ( op2(e21,e21) = e22
& op2(e22,e22) != e21 )
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f255]) ).
fof(f349,plain,
( pd0_26
=> ( ( op2(e20,e20) = e22
& op2(e22,e22) != e20 )
| ( op2(e21,e21) = e22
& op2(e22,e22) != e21 ) ) ),
introduced(predicate_definition,[f348]) ).
fof(f350,plain,
( ~ pd0_6
| pd0_26
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 ) ),
inference(formula_renaming,[status(thm)],[f348,f349]) ).
fof(f351,plain,
( ~ pd0_6
| pd0_26
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f350]) ).
fof(f353,plain,
( ~ pd0_7
| ( op2(e20,e20) = e23
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e23
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e23
& op2(e23,e23) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f256]) ).
fof(f354,plain,
( pd0_27
=> ( ( op2(e20,e20) = e23
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e23
& op2(e23,e23) != e21 ) ) ),
introduced(predicate_definition,[f353]) ).
fof(f358,plain,
( ~ pd0_8
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f289]) ).
fof(f361,plain,
( ~ pd0_8
| h1(e12) != e20 ),
inference(cnf_transformation,[status(esa)],[f358]) ).
fof(f368,plain,
( ~ pd0_10
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f291]) ).
fof(f372,plain,
( ~ pd0_10
| h1(e13) != e22 ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f373,plain,
( ~ pd0_11
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f292]) ).
fof(f377,plain,
( ~ pd0_11
| h2(e13) != e20 ),
inference(cnf_transformation,[status(esa)],[f373]) ).
fof(f378,plain,
( ~ pd0_12
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f293]) ).
fof(f381,plain,
( ~ pd0_12
| h2(e12) != e21 ),
inference(cnf_transformation,[status(esa)],[f378]) ).
fof(f383,plain,
( ~ pd0_13
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f294]) ).
fof(f385,plain,
( ~ pd0_13
| h2(e11) != e22 ),
inference(cnf_transformation,[status(esa)],[f383]) ).
fof(f388,plain,
( ~ pd0_14
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f295]) ).
fof(f389,plain,
( ~ pd0_14
| h3(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f388]) ).
fof(f393,plain,
( ~ pd0_15
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f296]) ).
fof(f395,plain,
( ~ pd0_15
| h3(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f393]) ).
fof(f398,plain,
( ~ pd0_16
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f297]) ).
fof(f401,plain,
( ~ pd0_16
| h3(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f398]) ).
fof(f403,plain,
( ~ pd0_17
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f298]) ).
fof(f405,plain,
( ~ pd0_17
| h4(e11) != e20 ),
inference(cnf_transformation,[status(esa)],[f403]) ).
fof(f408,plain,
( ~ pd0_18
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f299]) ).
fof(f412,plain,
( ~ pd0_18
| h4(e13) != e21 ),
inference(cnf_transformation,[status(esa)],[f408]) ).
fof(f418,plain,
( ~ pd0_20
| ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e11) = e10
& op1(e10,e10) != e11 ) ),
inference(pre_NNF_transformation,[status(esa)],[f319]) ).
fof(f419,plain,
( pd0_28
=> ( op1(e10,e10) = e10
& op1(e10,e10) != e10 ) ),
introduced(predicate_definition,[f418]) ).
fof(f420,plain,
( ~ pd0_20
| pd0_28
| ( op1(e11,e11) = e10
& op1(e10,e10) != e11 ) ),
inference(formula_renaming,[status(thm)],[f418,f419]) ).
fof(f421,plain,
( ~ pd0_20
| pd0_28
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[status(esa)],[f420]) ).
fof(f422,plain,
( ~ pd0_20
| pd0_28
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[status(esa)],[f420]) ).
fof(f423,plain,
( ~ pd0_21
| ( op1(e10,e10) = e11
& op1(e11,e11) != e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 ) ),
inference(pre_NNF_transformation,[status(esa)],[f324]) ).
fof(f424,plain,
( pd0_29
=> ( op1(e10,e10) = e11
& op1(e11,e11) != e10 ) ),
introduced(predicate_definition,[f423]) ).
fof(f425,plain,
( ~ pd0_21
| pd0_29
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 ) ),
inference(formula_renaming,[status(thm)],[f423,f424]) ).
fof(f426,plain,
( ~ pd0_21
| pd0_29
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f428,plain,
( ~ pd0_22
| ( op1(e10,e10) = e12
& op1(e12,e12) != e10 )
| ( op1(e11,e11) = e12
& op1(e12,e12) != e11 ) ),
inference(pre_NNF_transformation,[status(esa)],[f329]) ).
fof(f429,plain,
( pd0_30
=> ( op1(e10,e10) = e12
& op1(e12,e12) != e10 ) ),
introduced(predicate_definition,[f428]) ).
fof(f430,plain,
( ~ pd0_22
| pd0_30
| ( op1(e11,e11) = e12
& op1(e12,e12) != e11 ) ),
inference(formula_renaming,[status(thm)],[f428,f429]) ).
fof(f431,plain,
( ~ pd0_22
| pd0_30
| op1(e11,e11) = e12 ),
inference(cnf_transformation,[status(esa)],[f430]) ).
fof(f433,plain,
( ~ pd0_23
| ( op1(e10,e10) = e13
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e13
& op1(e13,e13) != e11 ) ),
inference(pre_NNF_transformation,[status(esa)],[f334]) ).
fof(f434,plain,
( pd0_31
=> ( op1(e10,e10) = e13
& op1(e13,e13) != e10 ) ),
introduced(predicate_definition,[f433]) ).
fof(f435,plain,
( ~ pd0_23
| pd0_31
| ( op1(e11,e11) = e13
& op1(e13,e13) != e11 ) ),
inference(formula_renaming,[status(thm)],[f433,f434]) ).
fof(f437,plain,
( ~ pd0_23
| pd0_31
| op1(e13,e13) != e11 ),
inference(cnf_transformation,[status(esa)],[f435]) ).
fof(f438,plain,
( ~ pd0_24
| ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e21) = e20
& op2(e20,e20) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f339]) ).
fof(f439,plain,
( pd0_32
=> ( op2(e20,e20) = e20
& op2(e20,e20) != e20 ) ),
introduced(predicate_definition,[f438]) ).
fof(f440,plain,
( ~ pd0_24
| pd0_32
| ( op2(e21,e21) = e20
& op2(e20,e20) != e21 ) ),
inference(formula_renaming,[status(thm)],[f438,f439]) ).
fof(f441,plain,
( ~ pd0_24
| pd0_32
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f440]) ).
fof(f442,plain,
( ~ pd0_24
| pd0_32
| op2(e20,e20) != e21 ),
inference(cnf_transformation,[status(esa)],[f440]) ).
fof(f443,plain,
( ~ pd0_25
| ( op2(e20,e20) = e21
& op2(e21,e21) != e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f344]) ).
fof(f444,plain,
( pd0_33
=> ( op2(e20,e20) = e21
& op2(e21,e21) != e20 ) ),
introduced(predicate_definition,[f443]) ).
fof(f445,plain,
( ~ pd0_25
| pd0_33
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 ) ),
inference(formula_renaming,[status(thm)],[f443,f444]) ).
fof(f446,plain,
( ~ pd0_25
| pd0_33
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f445]) ).
fof(f448,plain,
( ~ pd0_26
| ( op2(e20,e20) = e22
& op2(e22,e22) != e20 )
| ( op2(e21,e21) = e22
& op2(e22,e22) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f349]) ).
fof(f449,plain,
( pd0_34
=> ( op2(e20,e20) = e22
& op2(e22,e22) != e20 ) ),
introduced(predicate_definition,[f448]) ).
fof(f450,plain,
( ~ pd0_26
| pd0_34
| ( op2(e21,e21) = e22
& op2(e22,e22) != e21 ) ),
inference(formula_renaming,[status(thm)],[f448,f449]) ).
fof(f451,plain,
( ~ pd0_26
| pd0_34
| op2(e21,e21) = e22 ),
inference(cnf_transformation,[status(esa)],[f450]) ).
fof(f453,plain,
( ~ pd0_27
| ( op2(e20,e20) = e23
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e23
& op2(e23,e23) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f354]) ).
fof(f454,plain,
( pd0_35
=> ( op2(e20,e20) = e23
& op2(e23,e23) != e20 ) ),
introduced(predicate_definition,[f453]) ).
fof(f455,plain,
( ~ pd0_27
| pd0_35
| ( op2(e21,e21) = e23
& op2(e23,e23) != e21 ) ),
inference(formula_renaming,[status(thm)],[f453,f454]) ).
fof(f457,plain,
( ~ pd0_27
| pd0_35
| op2(e23,e23) != e21 ),
inference(cnf_transformation,[status(esa)],[f455]) ).
fof(f458,plain,
( ~ pd0_28
| ( op1(e10,e10) = e10
& op1(e10,e10) != e10 ) ),
inference(pre_NNF_transformation,[status(esa)],[f419]) ).
fof(f459,plain,
( ~ pd0_28
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f458]) ).
fof(f460,plain,
( ~ pd0_28
| op1(e10,e10) != e10 ),
inference(cnf_transformation,[status(esa)],[f458]) ).
fof(f461,plain,
( ~ pd0_29
| ( op1(e10,e10) = e11
& op1(e11,e11) != e10 ) ),
inference(pre_NNF_transformation,[status(esa)],[f424]) ).
fof(f462,plain,
( ~ pd0_29
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(esa)],[f461]) ).
fof(f464,plain,
( ~ pd0_30
| ( op1(e10,e10) = e12
& op1(e12,e12) != e10 ) ),
inference(pre_NNF_transformation,[status(esa)],[f429]) ).
fof(f465,plain,
( ~ pd0_30
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(esa)],[f464]) ).
fof(f467,plain,
( ~ pd0_31
| ( op1(e10,e10) = e13
& op1(e13,e13) != e10 ) ),
inference(pre_NNF_transformation,[status(esa)],[f434]) ).
fof(f468,plain,
( ~ pd0_31
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f467]) ).
fof(f470,plain,
( ~ pd0_32
| ( op2(e20,e20) = e20
& op2(e20,e20) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f439]) ).
fof(f471,plain,
( ~ pd0_32
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f470]) ).
fof(f472,plain,
( ~ pd0_32
| op2(e20,e20) != e20 ),
inference(cnf_transformation,[status(esa)],[f470]) ).
fof(f473,plain,
( ~ pd0_33
| ( op2(e20,e20) = e21
& op2(e21,e21) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f444]) ).
fof(f475,plain,
( ~ pd0_33
| op2(e21,e21) != e20 ),
inference(cnf_transformation,[status(esa)],[f473]) ).
fof(f476,plain,
( ~ pd0_34
| ( op2(e20,e20) = e22
& op2(e22,e22) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f449]) ).
fof(f477,plain,
( ~ pd0_34
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f476]) ).
fof(f479,plain,
( ~ pd0_35
| ( op2(e20,e20) = e23
& op2(e23,e23) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f454]) ).
fof(f480,plain,
( ~ pd0_35
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f479]) ).
fof(f482,plain,
( spl0_0
<=> op1(e10,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f485,plain,
( spl0_1
<=> op1(e10,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( spl0_2
<=> op1(e10,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f489,plain,
( op1(e10,e10) = e12
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( spl0_3
<=> op1(e10,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f498,plain,
( spl0_5
<=> op1(e10,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f499,plain,
( op1(e10,e11) = e11
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f504,plain,
( spl0_7
<=> op1(e10,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f505,plain,
( op1(e10,e11) = e13
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f508,plain,
( spl0_8
<=> op1(e10,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f509,plain,
( op1(e10,e12) = e10
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( spl0_9
<=> op1(e10,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f512,plain,
( op1(e10,e12) = e11
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( spl0_10
<=> op1(e10,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f515,plain,
( op1(e10,e12) = e12
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,plain,
( spl0_11
<=> op1(e10,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f518,plain,
( op1(e10,e12) = e13
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f22,f508,f511,f514,f517]) ).
fof(f521,plain,
( spl0_12
<=> op1(e10,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f522,plain,
( op1(e10,e13) = e10
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( spl0_13
<=> op1(e10,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f525,plain,
( op1(e10,e13) = e11
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( spl0_14
<=> op1(e10,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f528,plain,
( op1(e10,e13) = e12
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,plain,
( spl0_15
<=> op1(e10,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f531,plain,
( op1(e10,e13) = e13
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f23,f521,f524,f527,f530]) ).
fof(f534,plain,
( spl0_16
<=> op1(e11,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f535,plain,
( op1(e11,e10) = e10
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( spl0_17
<=> op1(e11,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f538,plain,
( op1(e11,e10) = e11
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f543,plain,
( spl0_19
<=> op1(e11,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f544,plain,
( op1(e11,e10) = e13
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f547,plain,
( spl0_20
<=> op1(e11,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f548,plain,
( op1(e11,e11) = e10
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,plain,
( spl0_21
<=> op1(e11,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f551,plain,
( op1(e11,e11) = e11
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( spl0_22
<=> op1(e11,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f554,plain,
( op1(e11,e11) = e12
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,plain,
( spl0_23
<=> op1(e11,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f557,plain,
( op1(e11,e11) = e13
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f560,plain,
( spl0_24
<=> op1(e11,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f561,plain,
( op1(e11,e12) = e10
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f566,plain,
( spl0_26
<=> op1(e11,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f567,plain,
( op1(e11,e12) = e12
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( spl0_27
<=> op1(e11,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f570,plain,
( op1(e11,e12) = e13
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f579,plain,
( spl0_30
<=> op1(e11,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f580,plain,
( op1(e11,e13) = e12
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( spl0_31
<=> op1(e11,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f583,plain,
( op1(e11,e13) = e13
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f586,plain,
( spl0_32
<=> op1(e12,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f587,plain,
( op1(e12,e10) = e10
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,plain,
( spl0_33
<=> op1(e12,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( spl0_35
<=> op1(e12,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f596,plain,
( op1(e12,e10) = e13
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f602,plain,
( spl0_37
<=> op1(e12,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f603,plain,
( op1(e12,e11) = e11
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f608,plain,
( spl0_39
<=> op1(e12,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f609,plain,
( op1(e12,e11) = e13
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f612,plain,
( spl0_40
<=> op1(e12,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f613,plain,
( op1(e12,e12) = e10
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,plain,
( spl0_41
<=> op1(e12,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f616,plain,
( op1(e12,e12) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( spl0_42
<=> op1(e12,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f619,plain,
( op1(e12,e12) = e12
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f621,plain,
( spl0_43
<=> op1(e12,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f631,plain,
( spl0_46
<=> op1(e12,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f632,plain,
( op1(e12,e13) = e12
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,plain,
( spl0_47
<=> op1(e12,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f635,plain,
( op1(e12,e13) = e13
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f638,plain,
( spl0_48
<=> op1(e13,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f639,plain,
( op1(e13,e10) = e10
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,plain,
( spl0_49
<=> op1(e13,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f642,plain,
( op1(e13,e10) = e11
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( spl0_50
<=> op1(e13,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f645,plain,
( op1(e13,e10) = e12
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,plain,
( spl0_51
<=> op1(e13,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f648,plain,
( op1(e13,e10) = e13
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f32,f638,f641,f644,f647]) ).
fof(f654,plain,
( spl0_53
<=> op1(e13,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f655,plain,
( op1(e13,e11) = e11
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,plain,
( spl0_54
<=> op1(e13,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f658,plain,
( op1(e13,e11) = e12
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f664,plain,
( spl0_56
<=> op1(e13,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f667,plain,
( spl0_57
<=> op1(e13,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f668,plain,
( op1(e13,e12) = e11
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,plain,
( spl0_58
<=> op1(e13,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f671,plain,
( op1(e13,e12) = e12
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,plain,
( spl0_59
<=> op1(e13,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f674,plain,
( op1(e13,e12) = e13
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f34,f664,f667,f670,f673]) ).
fof(f677,plain,
( spl0_60
<=> op1(e13,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f678,plain,
( op1(e13,e13) = e10
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( spl0_61
<=> op1(e13,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f683,plain,
( spl0_62
<=> op1(e13,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f684,plain,
( op1(e13,e13) = e12
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,plain,
( spl0_63
<=> op1(e13,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f687,plain,
( op1(e13,e13) = e13
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f35,f677,f680,f683,f686]) ).
fof(f691,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f37,f482,f534,f586,f638]) ).
fof(f693,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f39,f485,f537,f589,f641]) ).
fof(f696,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f42,f491,f504,f517,f530]) ).
fof(f701,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f47,f498,f550,f602,f654]) ).
fof(f704,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f50,f543,f556,f569,f582]) ).
fof(f711,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f57,f514,f566,f618,f670]) ).
fof(f712,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f58,f595,f608,f621,f634]) ).
fof(f718,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f64,f644,f657,f670,f683]) ).
fof(f719,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f65,f527,f579,f631,f683]) ).
fof(f721,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f67,f530,f582,f634,f686]) ).
fof(f722,plain,
( spl0_64
<=> op2(e20,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f725,plain,
( spl0_65
<=> op2(e20,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f728,plain,
( spl0_66
<=> op2(e20,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f729,plain,
( op2(e20,e20) = e22
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,plain,
( spl0_67
<=> op2(e20,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f738,plain,
( spl0_69
<=> op2(e20,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f741,plain,
( spl0_70
<=> op2(e20,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f742,plain,
( op2(e20,e21) = e22
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,plain,
( spl0_71
<=> op2(e20,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f745,plain,
( op2(e20,e21) = e23
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f748,plain,
( spl0_72
<=> op2(e20,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f749,plain,
( op2(e20,e22) = e20
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,plain,
( spl0_73
<=> op2(e20,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f752,plain,
( op2(e20,e22) = e21
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,plain,
( spl0_74
<=> op2(e20,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f757,plain,
( spl0_75
<=> op2(e20,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f758,plain,
( op2(e20,e22) = e23
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,plain,
( spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(split_clause,[status(thm)],[f70,f748,f751,f754,f757]) ).
fof(f761,plain,
( spl0_76
<=> op2(e20,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f762,plain,
( op2(e20,e23) = e20
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,plain,
( spl0_77
<=> op2(e20,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f765,plain,
( op2(e20,e23) = e21
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,plain,
( spl0_78
<=> op2(e20,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f768,plain,
( op2(e20,e23) = e22
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f774,plain,
( spl0_80
<=> op2(e21,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f777,plain,
( spl0_81
<=> op2(e21,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f778,plain,
( op2(e21,e20) = e21
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( spl0_82
<=> op2(e21,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f781,plain,
( op2(e21,e20) = e22
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f787,plain,
( spl0_84
<=> op2(e21,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f788,plain,
( op2(e21,e21) = e20
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,plain,
( spl0_85
<=> op2(e21,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f791,plain,
( op2(e21,e21) = e21
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,plain,
( spl0_86
<=> op2(e21,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f794,plain,
( op2(e21,e21) = e22
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,plain,
( spl0_87
<=> op2(e21,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f800,plain,
( spl0_88
<=> op2(e21,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f801,plain,
( op2(e21,e22) = e20
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,plain,
( spl0_89
<=> op2(e21,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f804,plain,
( op2(e21,e22) = e21
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,plain,
( spl0_90
<=> op2(e21,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f807,plain,
( op2(e21,e22) = e22
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( spl0_91
<=> op2(e21,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f810,plain,
( op2(e21,e22) = e23
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,plain,
( spl0_88
| spl0_89
| spl0_90
| spl0_91 ),
inference(split_clause,[status(thm)],[f74,f800,f803,f806,f809]) ).
fof(f813,plain,
( spl0_92
<=> op2(e21,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f814,plain,
( op2(e21,e23) = e20
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,plain,
( spl0_93
<=> op2(e21,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f817,plain,
( op2(e21,e23) = e21
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,plain,
( spl0_94
<=> op2(e21,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f820,plain,
( op2(e21,e23) = e22
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,plain,
( spl0_95
<=> op2(e21,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f823,plain,
( op2(e21,e23) = e23
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,plain,
( spl0_92
| spl0_93
| spl0_94
| spl0_95 ),
inference(split_clause,[status(thm)],[f75,f813,f816,f819,f822]) ).
fof(f826,plain,
( spl0_96
<=> op2(e22,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f827,plain,
( op2(e22,e20) = e20
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,plain,
( spl0_97
<=> op2(e22,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f832,plain,
( spl0_98
<=> op2(e22,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f833,plain,
( op2(e22,e20) = e22
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,plain,
( spl0_99
<=> op2(e22,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f836,plain,
( op2(e22,e20) = e23
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,plain,
( spl0_96
| spl0_97
| spl0_98
| spl0_99 ),
inference(split_clause,[status(thm)],[f76,f826,f829,f832,f835]) ).
fof(f839,plain,
( spl0_100
<=> op2(e22,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f840,plain,
( op2(e22,e21) = e20
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,plain,
( spl0_101
<=> op2(e22,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f843,plain,
( op2(e22,e21) = e21
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,plain,
( spl0_102
<=> op2(e22,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f848,plain,
( spl0_103
<=> op2(e22,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f849,plain,
( op2(e22,e21) = e23
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,plain,
( spl0_100
| spl0_101
| spl0_102
| spl0_103 ),
inference(split_clause,[status(thm)],[f77,f839,f842,f845,f848]) ).
fof(f852,plain,
( spl0_104
<=> op2(e22,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f855,plain,
( spl0_105
<=> op2(e22,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f856,plain,
( op2(e22,e22) = e21
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,plain,
( spl0_106
<=> op2(e22,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f859,plain,
( op2(e22,e22) = e22
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f861,plain,
( spl0_107
<=> op2(e22,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f863,plain,
( op2(e22,e22) != e23
| spl0_107 ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f865,plain,
( spl0_108
<=> op2(e22,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f866,plain,
( op2(e22,e23) = e20
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,plain,
( spl0_109
<=> op2(e22,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f869,plain,
( op2(e22,e23) = e21
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,plain,
( spl0_110
<=> op2(e22,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f872,plain,
( op2(e22,e23) = e22
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f874,plain,
( spl0_111
<=> op2(e22,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f875,plain,
( op2(e22,e23) = e23
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f878,plain,
( spl0_112
<=> op2(e23,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f879,plain,
( op2(e23,e20) = e20
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,plain,
( spl0_113
<=> op2(e23,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f882,plain,
( op2(e23,e20) = e21
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f884,plain,
( spl0_114
<=> op2(e23,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f885,plain,
( op2(e23,e20) = e22
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f884]) ).
fof(f887,plain,
( spl0_115
<=> op2(e23,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f888,plain,
( op2(e23,e20) = e23
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f890,plain,
( spl0_112
| spl0_113
| spl0_114
| spl0_115 ),
inference(split_clause,[status(thm)],[f80,f878,f881,f884,f887]) ).
fof(f891,plain,
( spl0_116
<=> op2(e23,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f892,plain,
( op2(e23,e21) = e20
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f897,plain,
( spl0_118
<=> op2(e23,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f898,plain,
( op2(e23,e21) = e22
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,plain,
( spl0_119
<=> op2(e23,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f901,plain,
( op2(e23,e21) = e23
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f904,plain,
( spl0_120
<=> op2(e23,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f905,plain,
( op2(e23,e22) = e20
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( spl0_121
<=> op2(e23,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f908,plain,
( op2(e23,e22) = e21
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,plain,
( spl0_122
<=> op2(e23,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f911,plain,
( op2(e23,e22) = e22
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f913,plain,
( spl0_123
<=> op2(e23,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f914,plain,
( op2(e23,e22) = e23
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f917,plain,
( spl0_124
<=> op2(e23,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f918,plain,
( op2(e23,e23) = e20
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f920,plain,
( spl0_125
<=> op2(e23,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f922,plain,
( op2(e23,e23) != e21
| spl0_125 ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f923,plain,
( spl0_126
<=> op2(e23,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f924,plain,
( op2(e23,e23) = e22
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,plain,
( spl0_127
<=> op2(e23,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f927,plain,
( op2(e23,e23) = e23
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f933,plain,
( spl0_65
| spl0_81
| spl0_97
| spl0_113 ),
inference(split_clause,[status(thm)],[f87,f725,f777,f829,f881]) ).
fof(f945,plain,
( spl0_71
| spl0_87
| spl0_103
| spl0_119 ),
inference(split_clause,[status(thm)],[f99,f744,f796,f848,f900]) ).
fof(f954,plain,
( spl0_112
| spl0_116
| spl0_120
| spl0_124 ),
inference(split_clause,[status(thm)],[f108,f878,f891,f904,f917]) ).
fof(f955,plain,
( spl0_76
| spl0_92
| spl0_108
| spl0_124 ),
inference(split_clause,[status(thm)],[f109,f761,f813,f865,f917]) ).
fof(f958,plain,
( spl0_114
| spl0_118
| spl0_122
| spl0_126 ),
inference(split_clause,[status(thm)],[f112,f884,f897,f910,f923]) ).
fof(f959,plain,
( spl0_78
| spl0_94
| spl0_110
| spl0_126 ),
inference(split_clause,[status(thm)],[f113,f767,f819,f871,f923]) ).
fof(f962,plain,
( spl0_128
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f965,plain,
( spl0_128
| spl0_60 ),
inference(split_clause,[status(thm)],[f245,f962,f677]) ).
fof(f967,plain,
( spl0_129
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f971,plain,
( spl0_129
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f248,f967,f556]) ).
fof(f972,plain,
( spl0_130
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f976,plain,
( spl0_130
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f250,f972,f621]) ).
fof(f977,plain,
( spl0_131
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f980,plain,
( spl0_131
| spl0_63 ),
inference(split_clause,[status(thm)],[f251,f977,f686]) ).
fof(f982,plain,
( spl0_132
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f985,plain,
( spl0_132
| spl0_124 ),
inference(split_clause,[status(thm)],[f258,f982,f917]) ).
fof(f987,plain,
( spl0_133
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f991,plain,
( spl0_133
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f261,f987,f796]) ).
fof(f992,plain,
( spl0_134
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f996,plain,
( spl0_134
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f263,f992,f861]) ).
fof(f997,plain,
( spl0_135
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f1000,plain,
( spl0_135
| spl0_127 ),
inference(split_clause,[status(thm)],[f264,f997,f926]) ).
fof(f1032,plain,
( spl0_146
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f1034,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl0_146 ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1044,plain,
( spl0_150
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f1046,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl0_150 ),
inference(component_clause,[status(thm)],[f1044]) ).
fof(f1047,plain,
( spl0_151
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1049,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl0_151 ),
inference(component_clause,[status(thm)],[f1047]) ).
fof(f1050,plain,
( spl0_152
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f1056,plain,
( spl0_154
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f1063,plain,
( spl0_156
<=> h1(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f1065,plain,
( h1(e11) != e23
| spl0_156 ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1075,plain,
( spl0_159
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1077,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl0_159 ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,plain,
( spl0_160
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1080,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl0_160 ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1081,plain,
( spl0_161
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1083,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl0_161 ),
inference(component_clause,[status(thm)],[f1081]) ).
fof(f1084,plain,
( spl0_162
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1086,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl0_162 ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1087,plain,
( spl0_163
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1089,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl0_163 ),
inference(component_clause,[status(thm)],[f1087]) ).
fof(f1090,plain,
( spl0_164
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1092,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl0_164 ),
inference(component_clause,[status(thm)],[f1090]) ).
fof(f1093,plain,
( spl0_165
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1095,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl0_165 ),
inference(component_clause,[status(thm)],[f1093]) ).
fof(f1096,plain,
( spl0_166
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1098,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl0_166 ),
inference(component_clause,[status(thm)],[f1096]) ).
fof(f1099,plain,
( spl0_167
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1101,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl0_167 ),
inference(component_clause,[status(thm)],[f1099]) ).
fof(f1102,plain,
( spl0_168
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1104,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl0_168 ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1105,plain,
( spl0_169
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1107,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl0_169 ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1108,plain,
( spl0_170
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1110,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl0_170 ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,plain,
( spl0_171
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1113,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl0_171 ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1114,plain,
( spl0_172
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1116,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl0_172 ),
inference(component_clause,[status(thm)],[f1114]) ).
fof(f1117,plain,
( spl0_173
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1119,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl0_173 ),
inference(component_clause,[status(thm)],[f1117]) ).
fof(f1120,plain,
( spl0_174
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1122,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl0_174 ),
inference(component_clause,[status(thm)],[f1120]) ).
fof(f1123,plain,
( spl0_175
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f1126,plain,
( spl0_176
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f1129,plain,
( spl0_177
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f1132,plain,
( spl0_178
<=> h2(e10) = e23 ),
introduced(split_symbol_definition) ).
fof(f1134,plain,
( h2(e10) != e23
| spl0_178 ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1135,plain,
( ~ spl0_159
| ~ spl0_160
| ~ spl0_161
| ~ spl0_162
| ~ spl0_163
| ~ spl0_164
| ~ spl0_165
| ~ spl0_166
| ~ spl0_167
| ~ spl0_168
| ~ spl0_169
| ~ spl0_170
| ~ spl0_171
| ~ spl0_172
| ~ spl0_173
| ~ spl0_174
| spl0_175
| spl0_176
| spl0_177
| ~ spl0_178 ),
inference(split_clause,[status(thm)],[f306,f1075,f1078,f1081,f1084,f1087,f1090,f1093,f1096,f1099,f1102,f1105,f1108,f1111,f1114,f1117,f1120,f1123,f1126,f1129,f1132]) ).
fof(f1169,plain,
( spl0_189
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1171,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl0_189 ),
inference(component_clause,[status(thm)],[f1169]) ).
fof(f1178,plain,
( spl0_192
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1180,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl0_192 ),
inference(component_clause,[status(thm)],[f1178]) ).
fof(f1190,plain,
( spl0_196
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1192,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl0_196 ),
inference(component_clause,[status(thm)],[f1190]) ).
fof(f1193,plain,
( spl0_197
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1195,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl0_197 ),
inference(component_clause,[status(thm)],[f1193]) ).
fof(f1196,plain,
( spl0_198
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f1199,plain,
( spl0_199
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f1202,plain,
( spl0_200
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1217,plain,
( spl0_204
<=> h3(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1219,plain,
( h3(e13) != e23
| spl0_204 ),
inference(component_clause,[status(thm)],[f1217]) ).
fof(f1251,plain,
( spl0_215
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1253,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl0_215 ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1263,plain,
( spl0_219
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1265,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl0_219 ),
inference(component_clause,[status(thm)],[f1263]) ).
fof(f1266,plain,
( spl0_220
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1268,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl0_220 ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1269,plain,
( spl0_221
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1272,plain,
( spl0_222
<=> pd0_18 ),
introduced(split_symbol_definition) ).
fof(f1278,plain,
( spl0_224
<=> h4(e10) = e23 ),
introduced(split_symbol_definition) ).
fof(f1280,plain,
( h4(e10) != e23
| spl0_224 ),
inference(component_clause,[status(thm)],[f1278]) ).
fof(f1286,plain,
( spl0_226
<=> h4(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f1288,plain,
( h4(e12) != e23
| spl0_226 ),
inference(component_clause,[status(thm)],[f1286]) ).
fof(f1294,plain,
( spl0_228
<=> pd0_20 ),
introduced(split_symbol_definition) ).
fof(f1297,plain,
( ~ spl0_128
| spl0_228
| spl0_40 ),
inference(split_clause,[status(thm)],[f321,f962,f1294,f612]) ).
fof(f1299,plain,
( spl0_229
<=> pd0_21 ),
introduced(split_symbol_definition) ).
fof(f1302,plain,
( ~ spl0_129
| spl0_229
| spl0_41 ),
inference(split_clause,[status(thm)],[f326,f967,f1299,f615]) ).
fof(f1304,plain,
( spl0_230
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f1307,plain,
( ~ spl0_130
| spl0_230
| spl0_42 ),
inference(split_clause,[status(thm)],[f331,f972,f1304,f618]) ).
fof(f1309,plain,
( spl0_231
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f1314,plain,
( spl0_232
<=> pd0_24 ),
introduced(split_symbol_definition) ).
fof(f1317,plain,
( ~ spl0_132
| spl0_232
| spl0_104 ),
inference(split_clause,[status(thm)],[f341,f982,f1314,f852]) ).
fof(f1319,plain,
( spl0_233
<=> pd0_25 ),
introduced(split_symbol_definition) ).
fof(f1322,plain,
( ~ spl0_133
| spl0_233
| spl0_105 ),
inference(split_clause,[status(thm)],[f346,f987,f1319,f855]) ).
fof(f1324,plain,
( spl0_234
<=> pd0_26 ),
introduced(split_symbol_definition) ).
fof(f1327,plain,
( ~ spl0_134
| spl0_234
| spl0_106 ),
inference(split_clause,[status(thm)],[f351,f992,f1324,f858]) ).
fof(f1329,plain,
( spl0_235
<=> pd0_27 ),
introduced(split_symbol_definition) ).
fof(f1334,plain,
( spl0_236
<=> h1(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1336,plain,
( h1(e10) != e20
| spl0_236 ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1342,plain,
( spl0_238
<=> h1(e12) = e20 ),
introduced(split_symbol_definition) ).
fof(f1344,plain,
( h1(e12) != e20
| spl0_238 ),
inference(component_clause,[status(thm)],[f1342]) ).
fof(f1345,plain,
( ~ spl0_152
| ~ spl0_238 ),
inference(split_clause,[status(thm)],[f361,f1050,f1342]) ).
fof(f1378,plain,
( spl0_247
<=> h1(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f1379,plain,
( h1(e13) = e22
| ~ spl0_247 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1380,plain,
( h1(e13) != e22
| spl0_247 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1381,plain,
( ~ spl0_154
| ~ spl0_247 ),
inference(split_clause,[status(thm)],[f372,f1056,f1378]) ).
fof(f1394,plain,
( spl0_251
<=> h2(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1396,plain,
( h2(e13) != e20
| spl0_251 ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1397,plain,
( ~ spl0_175
| ~ spl0_251 ),
inference(split_clause,[status(thm)],[f377,f1123,f1394]) ).
fof(f1406,plain,
( spl0_254
<=> h2(e12) = e21 ),
introduced(split_symbol_definition) ).
fof(f1408,plain,
( h2(e12) != e21
| spl0_254 ),
inference(component_clause,[status(thm)],[f1406]) ).
fof(f1409,plain,
( ~ spl0_176
| ~ spl0_254 ),
inference(split_clause,[status(thm)],[f381,f1126,f1406]) ).
fof(f1410,plain,
( spl0_255
<=> h2(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1411,plain,
( h2(e13) = e21
| ~ spl0_255 ),
inference(component_clause,[status(thm)],[f1410]) ).
fof(f1412,plain,
( h2(e13) != e21
| spl0_255 ),
inference(component_clause,[status(thm)],[f1410]) ).
fof(f1418,plain,
( spl0_257
<=> h2(e11) = e22 ),
introduced(split_symbol_definition) ).
fof(f1419,plain,
( h2(e11) = e22
| ~ spl0_257 ),
inference(component_clause,[status(thm)],[f1418]) ).
fof(f1420,plain,
( h2(e11) != e22
| spl0_257 ),
inference(component_clause,[status(thm)],[f1418]) ).
fof(f1421,plain,
( ~ spl0_177
| ~ spl0_257 ),
inference(split_clause,[status(thm)],[f385,f1129,f1418]) ).
fof(f1430,plain,
( spl0_260
<=> h3(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1432,plain,
( h3(e10) != e20
| spl0_260 ),
inference(component_clause,[status(thm)],[f1430]) ).
fof(f1433,plain,
( ~ spl0_198
| ~ spl0_260 ),
inference(split_clause,[status(thm)],[f389,f1196,f1430]) ).
fof(f1450,plain,
( spl0_265
<=> h3(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1452,plain,
( h3(e11) != e21
| spl0_265 ),
inference(component_clause,[status(thm)],[f1450]) ).
fof(f1453,plain,
( ~ spl0_199
| ~ spl0_265 ),
inference(split_clause,[status(thm)],[f395,f1199,f1450]) ).
fof(f1470,plain,
( spl0_270
<=> h3(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1472,plain,
( h3(e12) != e22
| spl0_270 ),
inference(component_clause,[status(thm)],[f1470]) ).
fof(f1473,plain,
( ~ spl0_200
| ~ spl0_270 ),
inference(split_clause,[status(thm)],[f401,f1202,f1470]) ).
fof(f1482,plain,
( spl0_273
<=> h4(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f1484,plain,
( h4(e11) != e20
| spl0_273 ),
inference(component_clause,[status(thm)],[f1482]) ).
fof(f1485,plain,
( ~ spl0_221
| ~ spl0_273 ),
inference(split_clause,[status(thm)],[f405,f1269,f1482]) ).
fof(f1506,plain,
( spl0_279
<=> h4(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1508,plain,
( h4(e13) != e21
| spl0_279 ),
inference(component_clause,[status(thm)],[f1506]) ).
fof(f1509,plain,
( ~ spl0_222
| ~ spl0_279 ),
inference(split_clause,[status(thm)],[f412,f1272,f1506]) ).
fof(f1526,plain,
( spl0_284
<=> pd0_28 ),
introduced(split_symbol_definition) ).
fof(f1529,plain,
( ~ spl0_228
| spl0_284
| spl0_20 ),
inference(split_clause,[status(thm)],[f421,f1294,f1526,f547]) ).
fof(f1530,plain,
( ~ spl0_228
| spl0_284
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f422,f1294,f1526,f485]) ).
fof(f1531,plain,
( spl0_285
<=> pd0_29 ),
introduced(split_symbol_definition) ).
fof(f1534,plain,
( ~ spl0_229
| spl0_285
| spl0_21 ),
inference(split_clause,[status(thm)],[f426,f1299,f1531,f550]) ).
fof(f1536,plain,
( spl0_286
<=> pd0_30 ),
introduced(split_symbol_definition) ).
fof(f1539,plain,
( ~ spl0_230
| spl0_286
| spl0_22 ),
inference(split_clause,[status(thm)],[f431,f1304,f1536,f553]) ).
fof(f1541,plain,
( spl0_287
<=> pd0_31 ),
introduced(split_symbol_definition) ).
fof(f1545,plain,
( ~ spl0_231
| spl0_287
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f437,f1309,f1541,f680]) ).
fof(f1546,plain,
( spl0_288
<=> pd0_32 ),
introduced(split_symbol_definition) ).
fof(f1549,plain,
( ~ spl0_232
| spl0_288
| spl0_84 ),
inference(split_clause,[status(thm)],[f441,f1314,f1546,f787]) ).
fof(f1550,plain,
( ~ spl0_232
| spl0_288
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f442,f1314,f1546,f725]) ).
fof(f1551,plain,
( spl0_289
<=> pd0_33 ),
introduced(split_symbol_definition) ).
fof(f1554,plain,
( ~ spl0_233
| spl0_289
| spl0_85 ),
inference(split_clause,[status(thm)],[f446,f1319,f1551,f790]) ).
fof(f1556,plain,
( spl0_290
<=> pd0_34 ),
introduced(split_symbol_definition) ).
fof(f1559,plain,
( ~ spl0_234
| spl0_290
| spl0_86 ),
inference(split_clause,[status(thm)],[f451,f1324,f1556,f793]) ).
fof(f1561,plain,
( spl0_291
<=> pd0_35 ),
introduced(split_symbol_definition) ).
fof(f1565,plain,
( ~ spl0_235
| spl0_291
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f457,f1329,f1561,f920]) ).
fof(f1566,plain,
( ~ spl0_284
| spl0_0 ),
inference(split_clause,[status(thm)],[f459,f1526,f482]) ).
fof(f1567,plain,
( ~ spl0_284
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f460,f1526,f482]) ).
fof(f1568,plain,
( ~ spl0_285
| spl0_1 ),
inference(split_clause,[status(thm)],[f462,f1531,f485]) ).
fof(f1570,plain,
( ~ spl0_286
| spl0_2 ),
inference(split_clause,[status(thm)],[f465,f1536,f488]) ).
fof(f1572,plain,
( ~ spl0_287
| spl0_3 ),
inference(split_clause,[status(thm)],[f468,f1541,f491]) ).
fof(f1574,plain,
( ~ spl0_288
| spl0_64 ),
inference(split_clause,[status(thm)],[f471,f1546,f722]) ).
fof(f1575,plain,
( ~ spl0_288
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f472,f1546,f722]) ).
fof(f1577,plain,
( ~ spl0_289
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f475,f1551,f787]) ).
fof(f1578,plain,
( ~ spl0_290
| spl0_66 ),
inference(split_clause,[status(thm)],[f477,f1556,f728]) ).
fof(f1580,plain,
( ~ spl0_291
| spl0_67 ),
inference(split_clause,[status(thm)],[f480,f1561,f731]) ).
fof(f1582,plain,
( op2(e22,e22) != e23
| ~ spl0_111 ),
inference(paramodulation,[status(thm)],[f875,f205]) ).
fof(f1596,plain,
( op2(e22,e22) != e23
| ~ spl0_123 ),
inference(paramodulation,[status(thm)],[f914,f181]) ).
fof(f1605,plain,
( op2(e20,e20) != e23
| ~ spl0_115 ),
inference(paramodulation,[status(thm)],[f888,f166]) ).
fof(f1618,plain,
( e22 = e23
| ~ spl0_118
| ~ spl0_119 ),
inference(backward_demodulation,[status(thm)],[f898,f901]) ).
fof(f1619,plain,
( $false
| ~ spl0_118
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[status(thm)],[f1618,f223]) ).
fof(f1620,plain,
( ~ spl0_118
| ~ spl0_119 ),
inference(contradiction_clause,[status(thm)],[f1619]) ).
fof(f1626,plain,
( op2(e22,e21) != e21
| ~ spl0_109 ),
inference(paramodulation,[status(thm)],[f869,f204]) ).
fof(f1631,plain,
( op2(e22,e21) != e22
| ~ spl0_118 ),
inference(paramodulation,[status(thm)],[f898,f175]) ).
fof(f1635,plain,
( op2(e21,e22) != e22
| ~ spl0_94 ),
inference(paramodulation,[status(thm)],[f820,f199]) ).
fof(f1652,plain,
( op2(e20,e22) != e21
| ~ spl0_121 ),
inference(paramodulation,[status(thm)],[f908,f178]) ).
fof(f1668,plain,
( e20 = e21
| ~ spl0_76
| ~ spl0_77 ),
inference(backward_demodulation,[status(thm)],[f762,f765]) ).
fof(f1669,plain,
( $false
| ~ spl0_76
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f1668,f218]) ).
fof(f1670,plain,
( ~ spl0_76
| ~ spl0_77 ),
inference(contradiction_clause,[status(thm)],[f1669]) ).
fof(f1673,plain,
( op2(e22,e22) != e20
| ~ spl0_120 ),
inference(paramodulation,[status(thm)],[f905,f181]) ).
fof(f1688,plain,
( op2(e20,e20) != e22
| ~ spl0_114 ),
inference(paramodulation,[status(thm)],[f885,f166]) ).
fof(f1689,plain,
( ~ spl0_66
| ~ spl0_114 ),
inference(split_clause,[status(thm)],[f1688,f728,f884]) ).
fof(f1692,plain,
( op2(e20,e20) != e22
| ~ spl0_78 ),
inference(paramodulation,[status(thm)],[f768,f190]) ).
fof(f1693,plain,
( ~ spl0_66
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f1692,f728,f767]) ).
fof(f1694,plain,
( e20 = e22
| ~ spl0_120
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f905,f911]) ).
fof(f1695,plain,
( $false
| ~ spl0_120
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f1694,f219]) ).
fof(f1696,plain,
( ~ spl0_120
| ~ spl0_122 ),
inference(contradiction_clause,[status(thm)],[f1695]) ).
fof(f1699,plain,
e11 = op1(op1(e12,e12),e13),
inference(backward_demodulation,[status(thm)],[f268,f267]) ).
fof(f1700,plain,
e11 = op1(e13,e13),
inference(forward_demodulation,[status(thm)],[f268,f1699]) ).
fof(f1701,plain,
e10 = op1(e13,e12),
inference(backward_demodulation,[status(thm)],[f268,f266]) ).
fof(f1702,plain,
( h1(e13) != op2(h1(e12),h1(e12))
| spl0_146 ),
inference(backward_demodulation,[status(thm)],[f268,f1034]) ).
fof(f1703,plain,
( h2(e13) != op2(h2(e12),h2(e12))
| spl0_169 ),
inference(backward_demodulation,[status(thm)],[f268,f1107]) ).
fof(f1704,plain,
( h3(e13) != op2(h3(e12),h3(e12))
| spl0_192 ),
inference(backward_demodulation,[status(thm)],[f268,f1180]) ).
fof(f1705,plain,
( h4(e13) != op2(h4(e12),h4(e12))
| spl0_215 ),
inference(backward_demodulation,[status(thm)],[f268,f1253]) ).
fof(f1706,plain,
op1(e12,e11) != e13,
inference(paramodulation,[status(thm)],[f268,f155]) ).
fof(f1707,plain,
op1(e12,e10) != e13,
inference(paramodulation,[status(thm)],[f268,f153]) ).
fof(f1708,plain,
op1(e11,e12) != e13,
inference(paramodulation,[status(thm)],[f268,f131]) ).
fof(f1709,plain,
op1(e10,e12) != e13,
inference(paramodulation,[status(thm)],[f268,f129]) ).
fof(f1710,plain,
e21 = op2(op2(e22,e22),e23),
inference(backward_demodulation,[status(thm)],[f271,f270]) ).
fof(f1711,plain,
e21 = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f271,f1710]) ).
fof(f1712,plain,
e20 = op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f271,f269]) ).
fof(f1713,plain,
op2(e22,e21) != e23,
inference(paramodulation,[status(thm)],[f271,f203]) ).
fof(f1714,plain,
op2(e22,e20) != e23,
inference(paramodulation,[status(thm)],[f271,f201]) ).
fof(f1715,plain,
op2(e21,e22) != e23,
inference(paramodulation,[status(thm)],[f271,f179]) ).
fof(f1716,plain,
op2(e20,e22) != e23,
inference(paramodulation,[status(thm)],[f271,f177]) ).
fof(f1722,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e20)
| spl0_150 ),
inference(backward_demodulation,[status(thm)],[f272,f1046]) ).
fof(f1723,plain,
h1(e11) = op2(op2(e20,e20),h1(e13)),
inference(backward_demodulation,[status(thm)],[f275,f274]) ).
fof(f1724,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(forward_demodulation,[status(thm)],[f275,f1723]) ).
fof(f1725,plain,
h1(e10) = op2(h1(e13),e20),
inference(backward_demodulation,[status(thm)],[f275,f273]) ).
fof(f1726,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e21)
| spl0_161 ),
inference(backward_demodulation,[status(thm)],[f276,f1083]) ).
fof(f1727,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e21)
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f276,f1095]) ).
fof(f1728,plain,
( h2(op1(e12,e10)) != op2(e21,h2(e10))
| spl0_167 ),
inference(backward_demodulation,[status(thm)],[f276,f1101]) ).
fof(f1729,plain,
( h2(op1(e12,e11)) != op2(e21,h2(e11))
| spl0_168 ),
inference(backward_demodulation,[status(thm)],[f276,f1104]) ).
fof(f1730,plain,
( h2(op1(e12,e13)) != op2(e21,h2(e13))
| spl0_170 ),
inference(backward_demodulation,[status(thm)],[f276,f1110]) ).
fof(f1731,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e21)
| spl0_173 ),
inference(backward_demodulation,[status(thm)],[f276,f1119]) ).
fof(f1732,plain,
h2(e11) = op2(op2(e21,e21),h2(e13)),
inference(backward_demodulation,[status(thm)],[f279,f278]) ).
fof(f1733,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(forward_demodulation,[status(thm)],[f279,f1732]) ).
fof(f1734,plain,
h2(e10) = op2(h2(e13),e21),
inference(backward_demodulation,[status(thm)],[f279,f277]) ).
fof(f1737,plain,
( $false
| spl0_270 ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f1472]) ).
fof(f1738,plain,
spl0_270,
inference(contradiction_clause,[status(thm)],[f1737]) ).
fof(f1739,plain,
h3(e10) = op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f271,f281]) ).
fof(f1746,plain,
h3(e11) = op2(e23,op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f271,f282]) ).
fof(f1747,plain,
h3(e11) = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f271,f1746]) ).
fof(f1755,plain,
h3(e13) = e23,
inference(forward_demodulation,[status(thm)],[f271,f283]) ).
fof(f1757,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| spl0_189 ),
inference(backward_demodulation,[status(thm)],[f1755,f1171]) ).
fof(f1761,plain,
( h3(op1(e13,e12)) != op2(e23,h3(e12))
| spl0_196 ),
inference(backward_demodulation,[status(thm)],[f1755,f1192]) ).
fof(f1762,plain,
( h3(op1(e13,e13)) != op2(h3(e13),e23)
| spl0_197 ),
inference(backward_demodulation,[status(thm)],[f1755,f1195]) ).
fof(f1763,plain,
( h3(op1(e13,e13)) != op2(e23,e23)
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f1755,f1762]) ).
fof(f1771,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e23)
| spl0_219 ),
inference(backward_demodulation,[status(thm)],[f284,f1265]) ).
fof(f1775,plain,
h4(e10) = op2(h3(e11),e23),
inference(forward_demodulation,[status(thm)],[f1747,f285]) ).
fof(f1776,plain,
( h1(e13) != op2(e20,h1(e12))
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f272,f1702]) ).
fof(f1777,plain,
( h1(e13) != op2(e20,e20)
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f272,f1776]) ).
fof(f1778,plain,
( h1(e13) != h1(e13)
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f275,f1777]) ).
fof(f1779,plain,
( $false
| spl0_146 ),
inference(trivial_equality_resolution,[status(esa)],[f1778]) ).
fof(f1780,plain,
spl0_146,
inference(contradiction_clause,[status(thm)],[f1779]) ).
fof(f1784,plain,
( h2(e13) != op2(e21,h2(e12))
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f276,f1703]) ).
fof(f1785,plain,
( h2(e13) != op2(e21,e21)
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f276,f1784]) ).
fof(f1786,plain,
( h2(e13) != h2(e13)
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f279,f1785]) ).
fof(f1787,plain,
( $false
| spl0_169 ),
inference(trivial_equality_resolution,[status(esa)],[f1786]) ).
fof(f1788,plain,
spl0_169,
inference(contradiction_clause,[status(thm)],[f1787]) ).
fof(f1792,plain,
( h4(e13) != op2(e23,h4(e12))
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f284,f1705]) ).
fof(f1793,plain,
( h4(e13) != op2(e23,e23)
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f284,f1792]) ).
fof(f1794,plain,
( h4(e13) != h3(e11)
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f1747,f1793]) ).
fof(f1805,plain,
( op2(e20,e22) != e22
| ~ spl0_90 ),
inference(paramodulation,[status(thm)],[f807,f176]) ).
fof(f1830,plain,
( e20 = e22
| ~ spl0_108
| ~ spl0_110 ),
inference(forward_demodulation,[status(thm)],[f866,f872]) ).
fof(f1831,plain,
( $false
| ~ spl0_108
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f1830,f219]) ).
fof(f1832,plain,
( ~ spl0_108
| ~ spl0_110 ),
inference(contradiction_clause,[status(thm)],[f1831]) ).
fof(f1834,plain,
( e21 != e21
| ~ spl0_73
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f752,f1652]) ).
fof(f1835,plain,
( $false
| ~ spl0_73
| ~ spl0_121 ),
inference(trivial_equality_resolution,[status(esa)],[f1834]) ).
fof(f1836,plain,
( ~ spl0_73
| ~ spl0_121 ),
inference(contradiction_clause,[status(thm)],[f1835]) ).
fof(f1842,plain,
( op2(e21,e20) != e21
| ~ spl0_89 ),
inference(paramodulation,[status(thm)],[f804,f195]) ).
fof(f1845,plain,
( op2(e22,e20) != e21
| ~ spl0_101 ),
inference(paramodulation,[status(thm)],[f843,f200]) ).
fof(f1847,plain,
( op2(e20,e21) != e21
| ~ spl0_101 ),
inference(paramodulation,[status(thm)],[f843,f171]) ).
fof(f1848,plain,
( e23 != e23
| spl0_107 ),
inference(forward_demodulation,[status(thm)],[f271,f863]) ).
fof(f1849,plain,
( $false
| spl0_107 ),
inference(trivial_equality_resolution,[status(esa)],[f1848]) ).
fof(f1850,plain,
spl0_107,
inference(contradiction_clause,[status(thm)],[f1849]) ).
fof(f1851,plain,
( ~ spl0_107
| ~ spl0_123 ),
inference(split_clause,[status(thm)],[f1596,f861,f913]) ).
fof(f1853,plain,
( ~ spl0_101
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f1626,f842,f868]) ).
fof(f1854,plain,
( ~ spl0_104
| ~ spl0_120 ),
inference(split_clause,[status(thm)],[f1673,f852,f904]) ).
fof(f1855,plain,
( ~ spl0_107
| ~ spl0_111 ),
inference(split_clause,[status(thm)],[f1582,f861,f874]) ).
fof(f1869,plain,
( op2(e21,e21) != e20
| ~ spl0_100 ),
inference(paramodulation,[status(thm)],[f840,f173]) ).
fof(f1870,plain,
( ~ spl0_84
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f1869,f787,f839]) ).
fof(f1872,plain,
( op2(e21,e20) != e20
| ~ spl0_96 ),
inference(paramodulation,[status(thm)],[f827,f167]) ).
fof(f1873,plain,
( op2(e20,e20) != e20
| ~ spl0_96 ),
inference(paramodulation,[status(thm)],[f827,f165]) ).
fof(f1874,plain,
( ~ spl0_64
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f1873,f722,f826]) ).
fof(f1879,plain,
( e22 = e23
| ~ spl0_70
| ~ spl0_71 ),
inference(backward_demodulation,[status(thm)],[f742,f745]) ).
fof(f1880,plain,
( $false
| ~ spl0_70
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1879,f223]) ).
fof(f1881,plain,
( ~ spl0_70
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f1880]) ).
fof(f1893,plain,
( op1(e12,e12) != e13
| ~ spl0_47 ),
inference(paramodulation,[status(thm)],[f635,f157]) ).
fof(f1894,plain,
( e13 != e13
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f268,f1893]) ).
fof(f1895,plain,
( $false
| ~ spl0_47 ),
inference(trivial_equality_resolution,[status(esa)],[f1894]) ).
fof(f1896,plain,
~ spl0_47,
inference(contradiction_clause,[status(thm)],[f1895]) ).
fof(f1898,plain,
( h2(e13) != op2(h2(e11),h2(e13))
| ~ spl0_31
| spl0_166 ),
inference(backward_demodulation,[status(thm)],[f583,f1098]) ).
fof(f1901,plain,
( op1(e11,e11) != e13
| ~ spl0_31 ),
inference(paramodulation,[status(thm)],[f583,f150]) ).
fof(f1902,plain,
( ~ spl0_23
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1901,f556,f582]) ).
fof(f1904,plain,
( op1(e10,e13) != e13
| ~ spl0_31 ),
inference(paramodulation,[status(thm)],[f583,f134]) ).
fof(f1905,plain,
h4(e11) = op2(h3(e11),op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f1747,f286]) ).
fof(f1906,plain,
h4(e11) = op2(h3(e11),h3(e11)),
inference(forward_demodulation,[status(thm)],[f1747,f1905]) ).
fof(f1908,plain,
h4(e13) = h3(e11),
inference(forward_demodulation,[status(thm)],[f1747,f287]) ).
fof(f1909,plain,
( $false
| spl0_215 ),
inference(forward_subsumption_resolution,[status(thm)],[f1908,f1794]) ).
fof(f1910,plain,
spl0_215,
inference(contradiction_clause,[status(thm)],[f1909]) ).
fof(f1915,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| spl0_151 ),
inference(backward_demodulation,[status(thm)],[f1700,f1049]) ).
fof(f1916,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| spl0_174 ),
inference(backward_demodulation,[status(thm)],[f1700,f1122]) ).
fof(f1917,plain,
( h4(e11) != op2(h4(e13),h4(e13))
| spl0_220 ),
inference(backward_demodulation,[status(thm)],[f1700,f1268]) ).
fof(f1919,plain,
op1(e13,e11) != e11,
inference(paramodulation,[status(thm)],[f1700,f162]) ).
fof(f1920,plain,
op1(e13,e10) != e11,
inference(paramodulation,[status(thm)],[f1700,f160]) ).
fof(f1923,plain,
op1(e10,e13) != e11,
inference(paramodulation,[status(thm)],[f1700,f136]) ).
fof(f1924,plain,
e10 != op1(e13,e13),
inference(backward_demodulation,[status(thm)],[f1701,f163]) ).
fof(f1926,plain,
op1(e13,e10) != e10,
inference(paramodulation,[status(thm)],[f1701,f159]) ).
fof(f1927,plain,
op1(e12,e12) != e10,
inference(paramodulation,[status(thm)],[f1701,f133]) ).
fof(f1928,plain,
op1(e11,e12) != e10,
inference(paramodulation,[status(thm)],[f1701,f132]) ).
fof(f1929,plain,
op1(e10,e12) != e10,
inference(paramodulation,[status(thm)],[f1701,f130]) ).
fof(f1930,plain,
h3(e11) = e21,
inference(backward_demodulation,[status(thm)],[f1711,f1747]) ).
fof(f1931,plain,
( $false
| spl0_265 ),
inference(forward_subsumption_resolution,[status(thm)],[f1930,f1452]) ).
fof(f1932,plain,
spl0_265,
inference(contradiction_clause,[status(thm)],[f1931]) ).
fof(f1935,plain,
op2(e23,e20) != e21,
inference(paramodulation,[status(thm)],[f1711,f208]) ).
fof(f1937,plain,
op2(e21,e23) != e21,
inference(paramodulation,[status(thm)],[f1711,f186]) ).
fof(f1939,plain,
h3(e10) = e20,
inference(backward_demodulation,[status(thm)],[f1712,f1739]) ).
fof(f1940,plain,
( $false
| spl0_260 ),
inference(forward_subsumption_resolution,[status(thm)],[f1939,f1432]) ).
fof(f1941,plain,
spl0_260,
inference(contradiction_clause,[status(thm)],[f1940]) ).
fof(f1942,plain,
e20 != op2(e23,e23),
inference(backward_demodulation,[status(thm)],[f1712,f211]) ).
fof(f1943,plain,
op2(e23,e21) != e20,
inference(paramodulation,[status(thm)],[f1712,f209]) ).
fof(f1944,plain,
op2(e23,e20) != e20,
inference(paramodulation,[status(thm)],[f1712,f207]) ).
fof(f1946,plain,
op2(e21,e22) != e20,
inference(paramodulation,[status(thm)],[f1712,f180]) ).
fof(f1947,plain,
op2(e20,e22) != e20,
inference(paramodulation,[status(thm)],[f1712,f178]) ).
fof(f1948,plain,
( h3(e13) != op2(h3(e12),e22)
| spl0_192 ),
inference(backward_demodulation,[status(thm)],[f280,f1704]) ).
fof(f1949,plain,
( h3(e13) != op2(e22,e22)
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f280,f1948]) ).
fof(f1956,plain,
( h3(e11) != e21
| spl0_279 ),
inference(backward_demodulation,[status(thm)],[f1908,f1508]) ).
fof(f1957,plain,
( ~ spl0_265
| spl0_279 ),
inference(split_clause,[status(thm)],[f1956,f1450,f1506]) ).
fof(f1962,plain,
h4(e13) = e21,
inference(backward_demodulation,[status(thm)],[f1930,f1908]) ).
fof(f1963,plain,
h4(e11) = op2(h3(e11),e21),
inference(backward_demodulation,[status(thm)],[f1930,f1906]) ).
fof(f1964,plain,
h4(e11) = op2(e21,e21),
inference(forward_demodulation,[status(thm)],[f1930,f1963]) ).
fof(f1965,plain,
h4(e11) = h2(e13),
inference(forward_demodulation,[status(thm)],[f279,f1964]) ).
fof(f1966,plain,
h4(e10) = op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f1930,f1775]) ).
fof(f1977,plain,
( h2(e13) != e20
| spl0_273 ),
inference(backward_demodulation,[status(thm)],[f1965,f1484]) ).
fof(f1990,plain,
( h1(e10) != op2(h1(e13),e20)
| spl0_150 ),
inference(forward_demodulation,[status(thm)],[f1701,f1722]) ).
fof(f1991,plain,
( h1(e10) != h1(e10)
| spl0_150 ),
inference(forward_demodulation,[status(thm)],[f1725,f1990]) ).
fof(f1992,plain,
( $false
| spl0_150 ),
inference(trivial_equality_resolution,[status(esa)],[f1991]) ).
fof(f1993,plain,
spl0_150,
inference(contradiction_clause,[status(thm)],[f1992]) ).
fof(f2000,plain,
( op1(e10,e11) != e13
| ~ spl0_15 ),
inference(paramodulation,[status(thm)],[f531,f144]) ).
fof(f2001,plain,
( op1(e10,e10) != e13
| ~ spl0_15 ),
inference(paramodulation,[status(thm)],[f531,f142]) ).
fof(f2002,plain,
( e10 = e13
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f1701,f674]) ).
fof(f2003,plain,
( $false
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f2002,f214]) ).
fof(f2004,plain,
~ spl0_59,
inference(contradiction_clause,[status(thm)],[f2003]) ).
fof(f2013,plain,
( h2(e13) != op2(h2(e13),h2(e10))
| ~ spl0_51
| spl0_171 ),
inference(backward_demodulation,[status(thm)],[f648,f1113]) ).
fof(f2015,plain,
( op1(e11,e10) != e13
| ~ spl0_51 ),
inference(paramodulation,[status(thm)],[f648,f120]) ).
fof(f2016,plain,
( op1(e10,e10) != e13
| ~ spl0_51 ),
inference(paramodulation,[status(thm)],[f648,f118]) ).
fof(f2023,plain,
( op1(e11,e12) != e12
| ~ spl0_30 ),
inference(paramodulation,[status(thm)],[f580,f151]) ).
fof(f2028,plain,
( e11 = e12
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f1700,f684]) ).
fof(f2029,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f2028,f215]) ).
fof(f2030,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f2029]) ).
fof(f2032,plain,
( e12 = e13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f528,f531]) ).
fof(f2033,plain,
( $false
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f2032,f217]) ).
fof(f2034,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f2033]) ).
fof(f2035,plain,
( e10 = e12
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f1701,f671]) ).
fof(f2036,plain,
( $false
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f2035,f213]) ).
fof(f2037,plain,
~ spl0_58,
inference(contradiction_clause,[status(thm)],[f2036]) ).
fof(f2047,plain,
( op1(e10,e10) != e12
| ~ spl0_50 ),
inference(paramodulation,[status(thm)],[f645,f118]) ).
fof(f2048,plain,
( ~ spl0_2
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2047,f488,f644]) ).
fof(f2062,plain,
( op1(e10,e10) != e12
| ~ spl0_14 ),
inference(paramodulation,[status(thm)],[f528,f142]) ).
fof(f2070,plain,
( e10 = e11
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f1701,f668]) ).
fof(f2071,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f2070,f212]) ).
fof(f2072,plain,
~ spl0_57,
inference(contradiction_clause,[status(thm)],[f2071]) ).
fof(f2099,plain,
( $false
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f570,f1708]) ).
fof(f2100,plain,
~ spl0_27,
inference(contradiction_clause,[status(thm)],[f2099]) ).
fof(f2104,plain,
( $false
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f609,f1706]) ).
fof(f2105,plain,
~ spl0_39,
inference(contradiction_clause,[status(thm)],[f2104]) ).
fof(f2106,plain,
( e21 != e21
| spl0_254 ),
inference(forward_demodulation,[status(thm)],[f276,f1408]) ).
fof(f2107,plain,
( $false
| spl0_254 ),
inference(trivial_equality_resolution,[status(esa)],[f2106]) ).
fof(f2108,plain,
spl0_254,
inference(contradiction_clause,[status(thm)],[f2107]) ).
fof(f2109,plain,
( e13 != e13
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f518,f1709]) ).
fof(f2110,plain,
( $false
| ~ spl0_11 ),
inference(trivial_equality_resolution,[status(esa)],[f2109]) ).
fof(f2111,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f2110]) ).
fof(f2122,plain,
( h2(e10) != op2(h2(e13),e21)
| spl0_173 ),
inference(forward_demodulation,[status(thm)],[f1701,f1731]) ).
fof(f2123,plain,
( h2(e10) != h2(e10)
| spl0_173 ),
inference(forward_demodulation,[status(thm)],[f1734,f2122]) ).
fof(f2124,plain,
( $false
| spl0_173 ),
inference(trivial_equality_resolution,[status(esa)],[f2123]) ).
fof(f2125,plain,
spl0_173,
inference(contradiction_clause,[status(thm)],[f2124]) ).
fof(f2128,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f596,f1707]) ).
fof(f2129,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f2128]) ).
fof(f2130,plain,
( h2(e11) != op2(h2(e10),e21)
| ~ spl0_9
| spl0_161 ),
inference(backward_demodulation,[status(thm)],[f512,f1726]) ).
fof(f2141,plain,
( h2(e13) != op2(h2(e10),h2(e11))
| ~ spl0_7
| spl0_160 ),
inference(backward_demodulation,[status(thm)],[f505,f1080]) ).
fof(f2149,plain,
( e23 = e22
| ~ spl0_106 ),
inference(backward_demodulation,[status(thm)],[f859,f271]) ).
fof(f2150,plain,
( $false
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f2149,f223]) ).
fof(f2151,plain,
~ spl0_106,
inference(contradiction_clause,[status(thm)],[f2150]) ).
fof(f2153,plain,
( op2(e20,e20) != e22
| ~ spl0_98 ),
inference(paramodulation,[status(thm)],[f833,f165]) ).
fof(f2154,plain,
( e13 = e12
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f619,f268]) ).
fof(f2155,plain,
( $false
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f2154,f217]) ).
fof(f2156,plain,
~ spl0_42,
inference(contradiction_clause,[status(thm)],[f2155]) ).
fof(f2157,plain,
( h2(e13) = e21
| ~ spl0_85 ),
inference(backward_demodulation,[status(thm)],[f791,f279]) ).
fof(f2158,plain,
( $false
| spl0_255
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f2157,f1412]) ).
fof(f2159,plain,
( spl0_255
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f2158]) ).
fof(f2164,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f678,f1924]) ).
fof(f2165,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f2164]) ).
fof(f2169,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f613,f1927]) ).
fof(f2170,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f2169]) ).
fof(f2174,plain,
( $false
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f642,f1920]) ).
fof(f2175,plain,
~ spl0_49,
inference(contradiction_clause,[status(thm)],[f2174]) ).
fof(f2177,plain,
( ~ spl0_3
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f2001,f491,f530]) ).
fof(f2178,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f639,f1926]) ).
fof(f2179,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f2178]) ).
fof(f2180,plain,
( e13 != e13
| ~ spl0_19
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f544,f2015]) ).
fof(f2181,plain,
( $false
| ~ spl0_19
| ~ spl0_51 ),
inference(trivial_equality_resolution,[status(esa)],[f2180]) ).
fof(f2182,plain,
( ~ spl0_19
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f2181]) ).
fof(f2183,plain,
( ~ spl0_3
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f2016,f491,f647]) ).
fof(f2184,plain,
( e11 = e13
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f551,f557]) ).
fof(f2185,plain,
( $false
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f2184,f216]) ).
fof(f2186,plain,
( ~ spl0_21
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f2185]) ).
fof(f2194,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f655,f1919]) ).
fof(f2195,plain,
~ spl0_53,
inference(contradiction_clause,[status(thm)],[f2194]) ).
fof(f2205,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f525,f1923]) ).
fof(f2206,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f2205]) ).
fof(f2209,plain,
( op1(e10,e10) != e10
| ~ spl0_12 ),
inference(paramodulation,[status(thm)],[f522,f142]) ).
fof(f2210,plain,
( ~ spl0_0
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f2209,f482,f521]) ).
fof(f2211,plain,
( e11 = e13
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f1700,f687]) ).
fof(f2212,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f2211,f216]) ).
fof(f2213,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f2212]) ).
fof(f2215,plain,
( e21 = e23
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f1711,f927]) ).
fof(f2216,plain,
( $false
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[status(thm)],[f2215,f222]) ).
fof(f2217,plain,
~ spl0_127,
inference(contradiction_clause,[status(thm)],[f2216]) ).
fof(f2218,plain,
( e21 != e21
| spl0_125 ),
inference(forward_demodulation,[status(thm)],[f1711,f922]) ).
fof(f2219,plain,
( $false
| spl0_125 ),
inference(trivial_equality_resolution,[status(esa)],[f2218]) ).
fof(f2220,plain,
spl0_125,
inference(contradiction_clause,[status(thm)],[f2219]) ).
fof(f2222,plain,
( $false
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[status(thm)],[f882,f1935]) ).
fof(f2223,plain,
~ spl0_113,
inference(contradiction_clause,[status(thm)],[f2222]) ).
fof(f2226,plain,
( $false
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f849,f1713]) ).
fof(f2227,plain,
~ spl0_103,
inference(contradiction_clause,[status(thm)],[f2226]) ).
fof(f2228,plain,
( $false
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[status(thm)],[f810,f1715]) ).
fof(f2229,plain,
~ spl0_91,
inference(contradiction_clause,[status(thm)],[f2228]) ).
fof(f2230,plain,
( $false
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f879,f1944]) ).
fof(f2231,plain,
~ spl0_112,
inference(contradiction_clause,[status(thm)],[f2230]) ).
fof(f2233,plain,
( ~ spl0_74
| ~ spl0_90 ),
inference(split_clause,[status(thm)],[f1805,f754,f806]) ).
fof(f2234,plain,
( $false
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f758,f1716]) ).
fof(f2235,plain,
~ spl0_75,
inference(contradiction_clause,[status(thm)],[f2234]) ).
fof(f2236,plain,
( $false
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f1947]) ).
fof(f2237,plain,
~ spl0_72,
inference(contradiction_clause,[status(thm)],[f2236]) ).
fof(f2238,plain,
( ~ spl0_66
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f2153,f728,f832]) ).
fof(f2239,plain,
( $false
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f801,f1946]) ).
fof(f2240,plain,
~ spl0_88,
inference(contradiction_clause,[status(thm)],[f2239]) ).
fof(f2244,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f1928]) ).
fof(f2245,plain,
~ spl0_24,
inference(contradiction_clause,[status(thm)],[f2244]) ).
fof(f2247,plain,
( op2(e21,e21) != e20
| ~ spl0_92 ),
inference(paramodulation,[status(thm)],[f814,f198]) ).
fof(f2248,plain,
( ~ spl0_84
| ~ spl0_92 ),
inference(split_clause,[status(thm)],[f2247,f787,f813]) ).
fof(f2251,plain,
( $false
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[status(thm)],[f892,f1943]) ).
fof(f2252,plain,
~ spl0_116,
inference(contradiction_clause,[status(thm)],[f2251]) ).
fof(f2253,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f509,f1929]) ).
fof(f2254,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f2253]) ).
fof(f2255,plain,
( ~ spl0_80
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f1872,f774,f826]) ).
fof(f2257,plain,
( $false
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f836,f1714]) ).
fof(f2258,plain,
~ spl0_99,
inference(contradiction_clause,[status(thm)],[f2257]) ).
fof(f2260,plain,
( h3(op1(e11,e13)) != op2(e21,e23)
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f1930,f1757]) ).
fof(f2264,plain,
( h3(e10) != op2(e23,h3(e12))
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f1701,f1761]) ).
fof(f2265,plain,
( h3(e10) != op2(e23,e22)
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f280,f2264]) ).
fof(f2266,plain,
( h3(e10) != e20
| spl0_196 ),
inference(paramodulation,[status(thm)],[f1712,f2265]) ).
fof(f2267,plain,
( ~ spl0_260
| spl0_196 ),
inference(split_clause,[status(thm)],[f2266,f1430,f1190]) ).
fof(f2275,plain,
( h4(e10) != op2(h4(e13),e23)
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f1701,f1771]) ).
fof(f2276,plain,
( h4(e10) != op2(e21,e23)
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f1962,f2275]) ).
fof(f2277,plain,
( h4(e10) != h4(e10)
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f1966,f2276]) ).
fof(f2278,plain,
( $false
| spl0_219 ),
inference(trivial_equality_resolution,[status(esa)],[f2277]) ).
fof(f2279,plain,
spl0_219,
inference(contradiction_clause,[status(thm)],[f2278]) ).
fof(f2299,plain,
( h1(e11) != h1(e11)
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f1724,f1915]) ).
fof(f2300,plain,
( $false
| spl0_151 ),
inference(trivial_equality_resolution,[status(esa)],[f2299]) ).
fof(f2301,plain,
spl0_151,
inference(contradiction_clause,[status(thm)],[f2300]) ).
fof(f2303,plain,
( h2(e11) != h2(e11)
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f1733,f1916]) ).
fof(f2304,plain,
( $false
| spl0_174 ),
inference(trivial_equality_resolution,[status(esa)],[f2303]) ).
fof(f2305,plain,
spl0_174,
inference(contradiction_clause,[status(thm)],[f2304]) ).
fof(f2307,plain,
( h4(e11) != op2(e21,h4(e13))
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1962,f1917]) ).
fof(f2308,plain,
( h4(e11) != op2(e21,e21)
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1962,f2307]) ).
fof(f2309,plain,
( h4(e11) != h2(e13)
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f279,f2308]) ).
fof(f2310,plain,
( h2(e13) != h2(e13)
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1965,f2309]) ).
fof(f2311,plain,
( $false
| spl0_220 ),
inference(trivial_equality_resolution,[status(esa)],[f2310]) ).
fof(f2312,plain,
spl0_220,
inference(contradiction_clause,[status(thm)],[f2311]) ).
fof(f2318,plain,
( h3(e13) != e23
| spl0_192 ),
inference(paramodulation,[status(thm)],[f271,f1949]) ).
fof(f2319,plain,
( e23 != e23
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f1755,f2318]) ).
fof(f2320,plain,
( $false
| spl0_192 ),
inference(trivial_equality_resolution,[status(esa)],[f2319]) ).
fof(f2321,plain,
spl0_192,
inference(contradiction_clause,[status(thm)],[f2320]) ).
fof(f2337,plain,
( e20 != e20
| spl0_238 ),
inference(forward_demodulation,[status(thm)],[f272,f1344]) ).
fof(f2338,plain,
( $false
| spl0_238 ),
inference(trivial_equality_resolution,[status(esa)],[f2337]) ).
fof(f2339,plain,
spl0_238,
inference(contradiction_clause,[status(thm)],[f2338]) ).
fof(f2359,plain,
( $false
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[status(thm)],[f817,f1937]) ).
fof(f2360,plain,
~ spl0_93,
inference(contradiction_clause,[status(thm)],[f2359]) ).
fof(f2365,plain,
( op2(e20,e20) != e22
| ~ spl0_82 ),
inference(paramodulation,[status(thm)],[f781,f164]) ).
fof(f2366,plain,
( ~ spl0_66
| ~ spl0_82 ),
inference(split_clause,[status(thm)],[f2365,f728,f780]) ).
fof(f2367,plain,
( $false
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f918,f1942]) ).
fof(f2368,plain,
~ spl0_124,
inference(contradiction_clause,[status(thm)],[f2367]) ).
fof(f2369,plain,
( e21 = e22
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f1711,f924]) ).
fof(f2370,plain,
( $false
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f2369,f221]) ).
fof(f2371,plain,
~ spl0_126,
inference(contradiction_clause,[status(thm)],[f2370]) ).
fof(f2374,plain,
( ~ spl0_102
| ~ spl0_118 ),
inference(split_clause,[status(thm)],[f1631,f845,f897]) ).
fof(f2375,plain,
( ~ spl0_90
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f1635,f806,f819]) ).
fof(f2377,plain,
( ~ spl0_81
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f1842,f777,f803]) ).
fof(f2379,plain,
( ~ spl0_97
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f1845,f829,f842]) ).
fof(f2380,plain,
( ~ spl0_69
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f1847,f738,f842]) ).
fof(f2393,plain,
( op1(e10,e10) != e12
| ~ spl0_10 ),
inference(paramodulation,[status(thm)],[f515,f141]) ).
fof(f2394,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f2393,f488,f514]) ).
fof(f2415,plain,
( h2(e10) != op2(e21,h2(e10))
| ~ spl0_32
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f587,f1728]) ).
fof(f2417,plain,
( e11 = e13
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f499,f505]) ).
fof(f2418,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f2417,f216]) ).
fof(f2419,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f2418]) ).
fof(f2420,plain,
( e13 = e11
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f616,f268]) ).
fof(f2421,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f2420,f216]) ).
fof(f2422,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f2421]) ).
fof(f2465,plain,
( e23 != e23
| spl0_226 ),
inference(forward_demodulation,[status(thm)],[f284,f1288]) ).
fof(f2466,plain,
( $false
| spl0_226 ),
inference(trivial_equality_resolution,[status(esa)],[f2465]) ).
fof(f2467,plain,
spl0_226,
inference(contradiction_clause,[status(thm)],[f2466]) ).
fof(f2478,plain,
( e21 = op2(e21,e21)
| ~ spl0_255 ),
inference(backward_demodulation,[status(thm)],[f1411,f279]) ).
fof(f2486,plain,
( op2(e21,e20) != e21
| ~ spl0_255 ),
inference(paramodulation,[status(thm)],[f2478,f194]) ).
fof(f2487,plain,
( ~ spl0_81
| ~ spl0_255 ),
inference(split_clause,[status(thm)],[f2486,f777,f1410]) ).
fof(f2491,plain,
( e23 != e23
| spl0_204 ),
inference(forward_demodulation,[status(thm)],[f1755,f1219]) ).
fof(f2492,plain,
( $false
| spl0_204 ),
inference(trivial_equality_resolution,[status(esa)],[f2491]) ).
fof(f2493,plain,
spl0_204,
inference(contradiction_clause,[status(thm)],[f2492]) ).
fof(f2502,plain,
( h3(e11) != op2(e23,e23)
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f1700,f1763]) ).
fof(f2505,plain,
( h3(e11) != e21
| spl0_197 ),
inference(paramodulation,[status(thm)],[f1711,f2502]) ).
fof(f2506,plain,
( ~ spl0_265
| spl0_197 ),
inference(split_clause,[status(thm)],[f2505,f1450,f1193]) ).
fof(f2515,plain,
( e10 = e11
| ~ spl0_16
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f535,f538]) ).
fof(f2516,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f2515,f212]) ).
fof(f2517,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f2516]) ).
fof(f2518,plain,
( h2(e13) = e20
| ~ spl0_84 ),
inference(backward_demodulation,[status(thm)],[f788,f279]) ).
fof(f2519,plain,
( $false
| spl0_251
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f2518,f1396]) ).
fof(f2520,plain,
( spl0_251
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f2519]) ).
fof(f2526,plain,
( e20 = e22
| ~ spl0_84
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f788,f794]) ).
fof(f2527,plain,
( $false
| ~ spl0_84
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f2526,f219]) ).
fof(f2528,plain,
( ~ spl0_84
| ~ spl0_86 ),
inference(contradiction_clause,[status(thm)],[f2527]) ).
fof(f2531,plain,
( ~ spl0_67
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f1605,f731,f887]) ).
fof(f2533,plain,
( h4(e10) = e23
| ~ spl0_95 ),
inference(backward_demodulation,[status(thm)],[f823,f1966]) ).
fof(f2534,plain,
( $false
| spl0_224
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f2533,f1280]) ).
fof(f2535,plain,
( spl0_224
| ~ spl0_95 ),
inference(contradiction_clause,[status(thm)],[f2534]) ).
fof(f2582,plain,
( h2(e11) = op2(h2(e13),e20)
| ~ spl0_84 ),
inference(backward_demodulation,[status(thm)],[f2518,f1733]) ).
fof(f2583,plain,
( h2(e11) = op2(e20,e20)
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f2518,f2582]) ).
fof(f2584,plain,
( h2(e11) = h1(e13)
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f275,f2583]) ).
fof(f2585,plain,
( h2(e10) = op2(e20,e21)
| ~ spl0_84 ),
inference(backward_demodulation,[status(thm)],[f2518,f1734]) ).
fof(f2605,plain,
( h1(e13) = e22
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f729,f275]) ).
fof(f2606,plain,
( $false
| spl0_247
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f2605,f1380]) ).
fof(f2607,plain,
( spl0_247
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f2606]) ).
fof(f2630,plain,
( e23 = e21
| ~ spl0_105 ),
inference(backward_demodulation,[status(thm)],[f856,f271]) ).
fof(f2631,plain,
( $false
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f2630,f222]) ).
fof(f2632,plain,
~ spl0_105,
inference(contradiction_clause,[status(thm)],[f2631]) ).
fof(f2664,plain,
( h3(e13) != op2(e21,e23)
| ~ spl0_31
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f583,f2260]) ).
fof(f2665,plain,
( h3(e13) != e23
| ~ spl0_95
| ~ spl0_31
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f823,f2664]) ).
fof(f2666,plain,
( e23 != e23
| ~ spl0_95
| ~ spl0_31
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f1755,f2665]) ).
fof(f2667,plain,
( $false
| ~ spl0_95
| ~ spl0_31
| spl0_189 ),
inference(trivial_equality_resolution,[status(esa)],[f2666]) ).
fof(f2668,plain,
( ~ spl0_95
| ~ spl0_31
| spl0_189 ),
inference(contradiction_clause,[status(thm)],[f2667]) ).
fof(f2696,plain,
( e10 = e12
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f548,f554]) ).
fof(f2697,plain,
( $false
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f2696,f213]) ).
fof(f2698,plain,
( ~ spl0_20
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f2697]) ).
fof(f2720,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f2000,f504,f530]) ).
fof(f2726,plain,
( ~ spl0_15
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1904,f530,f582]) ).
fof(f2733,plain,
( h2(op1(e13,e11)) != op2(e20,h2(e11))
| ~ spl0_84
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f2518,f1116]) ).
fof(f2735,plain,
( h2(e13) != op2(e20,h2(e10))
| ~ spl0_84
| ~ spl0_51
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f2518,f2013]) ).
fof(f2736,plain,
( h2(op1(e12,e13)) != op2(e21,e20)
| ~ spl0_84
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f2518,f1730]) ).
fof(f2737,plain,
( h2(e13) != op2(h2(e11),e20)
| ~ spl0_84
| ~ spl0_31
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f2518,f1898]) ).
fof(f2739,plain,
( h2(e10) != op2(h2(e11),h2(e11))
| ~ spl0_20
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f548,f1092]) ).
fof(f2740,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e20)
| ~ spl0_84
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f2518,f1086]) ).
fof(f2751,plain,
( h1(e13) != e22
| ~ spl0_84
| spl0_257 ),
inference(backward_demodulation,[status(thm)],[f2584,f1420]) ).
fof(f2752,plain,
( ~ spl0_247
| ~ spl0_84
| spl0_257 ),
inference(split_clause,[status(thm)],[f2751,f1378,f787,f1418]) ).
fof(f2753,plain,
( h2(e10) = e23
| ~ spl0_71
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f745,f2585]) ).
fof(f2754,plain,
( $false
| spl0_178
| ~ spl0_71
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f2753,f1134]) ).
fof(f2755,plain,
( spl0_178
| ~ spl0_71
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f2754]) ).
fof(f2767,plain,
( h1(e10) = op2(e22,e20)
| ~ spl0_247 ),
inference(backward_demodulation,[status(thm)],[f1379,f1725]) ).
fof(f2768,plain,
( h1(e10) = e20
| ~ spl0_96
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f827,f2767]) ).
fof(f2769,plain,
( $false
| spl0_236
| ~ spl0_96
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[status(thm)],[f2768,f1336]) ).
fof(f2770,plain,
( spl0_236
| ~ spl0_96
| ~ spl0_247 ),
inference(contradiction_clause,[status(thm)],[f2769]) ).
fof(f2771,plain,
( h1(e11) = op2(h1(e13),e22)
| ~ spl0_247 ),
inference(backward_demodulation,[status(thm)],[f1379,f1724]) ).
fof(f2772,plain,
( h1(e11) = op2(e22,e22)
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f1379,f2771]) ).
fof(f2773,plain,
( h1(e11) = e23
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f271,f2772]) ).
fof(f2774,plain,
( $false
| spl0_156
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[status(thm)],[f2773,f1065]) ).
fof(f2775,plain,
( spl0_156
| ~ spl0_247 ),
inference(contradiction_clause,[status(thm)],[f2774]) ).
fof(f2786,plain,
( e20 != e20
| ~ spl0_84
| spl0_273 ),
inference(forward_demodulation,[status(thm)],[f2518,f1977]) ).
fof(f2787,plain,
( $false
| ~ spl0_84
| spl0_273 ),
inference(trivial_equality_resolution,[status(esa)],[f2786]) ).
fof(f2788,plain,
( ~ spl0_84
| spl0_273 ),
inference(contradiction_clause,[status(thm)],[f2787]) ).
fof(f2816,plain,
( h2(e12) != op2(h2(e11),e21)
| ~ spl0_26
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f567,f1727]) ).
fof(f2833,plain,
( h2(e11) != op2(e21,h2(e11))
| ~ spl0_37
| spl0_168 ),
inference(backward_demodulation,[status(thm)],[f603,f1729]) ).
fof(f2835,plain,
( op1(e12,e10) != e11
| ~ spl0_37 ),
inference(paramodulation,[status(thm)],[f603,f152]) ).
fof(f2836,plain,
( ~ spl0_33
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2835,f589,f602]) ).
fof(f2849,plain,
( e10 = e11
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f548,f551]) ).
fof(f2850,plain,
( $false
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f2849,f212]) ).
fof(f2851,plain,
( ~ spl0_20
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f2850]) ).
fof(f2858,plain,
( ~ spl0_2
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f2062,f488,f527]) ).
fof(f2860,plain,
( e12 != e12
| ~ spl0_26
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f567,f2023]) ).
fof(f2861,plain,
( $false
| ~ spl0_26
| ~ spl0_30 ),
inference(trivial_equality_resolution,[status(esa)],[f2860]) ).
fof(f2862,plain,
( ~ spl0_26
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f2861]) ).
fof(f2864,plain,
( h2(e12) != op2(e20,h2(e11))
| ~ spl0_54
| ~ spl0_84
| spl0_172 ),
inference(backward_demodulation,[status(thm)],[f658,f2733]) ).
fof(f2879,plain,
( h2(e12) != op2(h2(e10),h2(e10))
| ~ spl0_2
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f489,f1077]) ).
fof(f2882,plain,
( h2(e13) != op2(h2(e10),e22)
| ~ spl0_257
| ~ spl0_7
| spl0_160 ),
inference(backward_demodulation,[status(thm)],[f1419,f2141]) ).
fof(f2883,plain,
( h2(op1(e11,e10)) != op2(e22,h2(e10))
| ~ spl0_257
| spl0_163 ),
inference(backward_demodulation,[status(thm)],[f1419,f1089]) ).
fof(f2884,plain,
( h2(e10) != op2(h2(e11),e22)
| ~ spl0_257
| ~ spl0_20
| spl0_164 ),
inference(backward_demodulation,[status(thm)],[f1419,f2739]) ).
fof(f2885,plain,
( h2(e10) != op2(e22,e22)
| ~ spl0_257
| ~ spl0_20
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f1419,f2884]) ).
fof(f2886,plain,
( h2(e13) != op2(e22,e20)
| ~ spl0_257
| ~ spl0_84
| ~ spl0_31
| spl0_166 ),
inference(backward_demodulation,[status(thm)],[f1419,f2737]) ).
fof(f2887,plain,
( h2(e13) != e20
| ~ spl0_96
| ~ spl0_257
| ~ spl0_84
| ~ spl0_31
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f827,f2886]) ).
fof(f2888,plain,
( e20 != e20
| ~ spl0_96
| ~ spl0_257
| ~ spl0_84
| ~ spl0_31
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f2518,f2887]) ).
fof(f2889,plain,
( $false
| ~ spl0_96
| ~ spl0_257
| ~ spl0_84
| ~ spl0_31
| spl0_166 ),
inference(trivial_equality_resolution,[status(esa)],[f2888]) ).
fof(f2890,plain,
( ~ spl0_96
| ~ spl0_257
| ~ spl0_84
| ~ spl0_31
| spl0_166 ),
inference(contradiction_clause,[status(thm)],[f2889]) ).
fof(f2894,plain,
( h2(e12) != op2(h2(e10),e23)
| ~ spl0_71
| ~ spl0_84
| ~ spl0_2
| spl0_159 ),
inference(backward_demodulation,[status(thm)],[f2753,f2879]) ).
fof(f2895,plain,
( h2(e12) != op2(e23,e23)
| ~ spl0_71
| ~ spl0_84
| ~ spl0_2
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f2753,f2894]) ).
fof(f2896,plain,
( h2(e11) != op2(e23,e21)
| ~ spl0_71
| ~ spl0_84
| ~ spl0_9
| spl0_161 ),
inference(backward_demodulation,[status(thm)],[f2753,f2130]) ).
fof(f2897,plain,
( h2(e11) != e22
| ~ spl0_118
| ~ spl0_71
| ~ spl0_84
| ~ spl0_9
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f898,f2896]) ).
fof(f2898,plain,
( e22 != e22
| ~ spl0_257
| ~ spl0_118
| ~ spl0_71
| ~ spl0_84
| ~ spl0_9
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f1419,f2897]) ).
fof(f2899,plain,
( $false
| ~ spl0_257
| ~ spl0_118
| ~ spl0_71
| ~ spl0_84
| ~ spl0_9
| spl0_161 ),
inference(trivial_equality_resolution,[status(esa)],[f2898]) ).
fof(f2900,plain,
( ~ spl0_257
| ~ spl0_118
| ~ spl0_71
| ~ spl0_84
| ~ spl0_9
| spl0_161 ),
inference(contradiction_clause,[status(thm)],[f2899]) ).
fof(f2901,plain,
( h2(op1(e10,e13)) != op2(e23,e20)
| ~ spl0_71
| ~ spl0_84
| spl0_162 ),
inference(backward_demodulation,[status(thm)],[f2753,f2740]) ).
fof(f2903,plain,
( h2(e13) != op2(e20,e23)
| ~ spl0_71
| ~ spl0_84
| ~ spl0_51
| spl0_171 ),
inference(backward_demodulation,[status(thm)],[f2753,f2735]) ).
fof(f2904,plain,
( h2(e13) != e20
| ~ spl0_76
| ~ spl0_71
| ~ spl0_84
| ~ spl0_51
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f762,f2903]) ).
fof(f2905,plain,
( e20 != e20
| ~ spl0_76
| ~ spl0_71
| ~ spl0_84
| ~ spl0_51
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f2518,f2904]) ).
fof(f2906,plain,
( $false
| ~ spl0_76
| ~ spl0_71
| ~ spl0_84
| ~ spl0_51
| spl0_171 ),
inference(trivial_equality_resolution,[status(esa)],[f2905]) ).
fof(f2907,plain,
( ~ spl0_76
| ~ spl0_71
| ~ spl0_84
| ~ spl0_51
| spl0_171 ),
inference(contradiction_clause,[status(thm)],[f2906]) ).
fof(f2926,plain,
( h2(e12) != op2(e22,e21)
| ~ spl0_257
| ~ spl0_26
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f1419,f2816]) ).
fof(f2927,plain,
( h2(e12) != e21
| ~ spl0_101
| ~ spl0_257
| ~ spl0_26
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f843,f2926]) ).
fof(f2928,plain,
( e21 != e21
| ~ spl0_101
| ~ spl0_257
| ~ spl0_26
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f276,f2927]) ).
fof(f2929,plain,
( $false
| ~ spl0_101
| ~ spl0_257
| ~ spl0_26
| spl0_165 ),
inference(trivial_equality_resolution,[status(esa)],[f2928]) ).
fof(f2930,plain,
( ~ spl0_101
| ~ spl0_257
| ~ spl0_26
| spl0_165 ),
inference(contradiction_clause,[status(thm)],[f2929]) ).
fof(f2939,plain,
( h2(e10) != op2(e21,e23)
| ~ spl0_71
| ~ spl0_84
| ~ spl0_32
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f2753,f2415]) ).
fof(f2940,plain,
( h2(e10) != e23
| ~ spl0_95
| ~ spl0_71
| ~ spl0_84
| ~ spl0_32
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f823,f2939]) ).
fof(f2941,plain,
( e23 != e23
| ~ spl0_95
| ~ spl0_71
| ~ spl0_84
| ~ spl0_32
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f2753,f2940]) ).
fof(f2942,plain,
( $false
| ~ spl0_95
| ~ spl0_71
| ~ spl0_84
| ~ spl0_32
| spl0_167 ),
inference(trivial_equality_resolution,[status(esa)],[f2941]) ).
fof(f2943,plain,
( ~ spl0_95
| ~ spl0_71
| ~ spl0_84
| ~ spl0_32
| spl0_167 ),
inference(contradiction_clause,[status(thm)],[f2942]) ).
fof(f2947,plain,
( h2(e11) != op2(e21,e22)
| ~ spl0_257
| ~ spl0_37
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f1419,f2833]) ).
fof(f2948,plain,
( h2(e11) != e22
| ~ spl0_90
| ~ spl0_257
| ~ spl0_37
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f807,f2947]) ).
fof(f2949,plain,
( e22 != e22
| ~ spl0_90
| ~ spl0_257
| ~ spl0_37
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f1419,f2948]) ).
fof(f2950,plain,
( $false
| ~ spl0_90
| ~ spl0_257
| ~ spl0_37
| spl0_168 ),
inference(trivial_equality_resolution,[status(esa)],[f2949]) ).
fof(f2951,plain,
( ~ spl0_90
| ~ spl0_257
| ~ spl0_37
| spl0_168 ),
inference(contradiction_clause,[status(thm)],[f2950]) ).
fof(f2955,plain,
( h2(e12) != op2(e20,e22)
| ~ spl0_257
| ~ spl0_54
| ~ spl0_84
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f1419,f2864]) ).
fof(f2956,plain,
( h2(e12) != e21
| ~ spl0_73
| ~ spl0_257
| ~ spl0_54
| ~ spl0_84
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f752,f2955]) ).
fof(f2957,plain,
( e21 != e21
| ~ spl0_73
| ~ spl0_257
| ~ spl0_54
| ~ spl0_84
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f276,f2956]) ).
fof(f2958,plain,
( $false
| ~ spl0_73
| ~ spl0_257
| ~ spl0_54
| ~ spl0_84
| spl0_172 ),
inference(trivial_equality_resolution,[status(esa)],[f2957]) ).
fof(f2959,plain,
( ~ spl0_73
| ~ spl0_257
| ~ spl0_54
| ~ spl0_84
| spl0_172 ),
inference(contradiction_clause,[status(thm)],[f2958]) ).
fof(f2963,plain,
( h2(e13) != op2(e23,e22)
| ~ spl0_71
| ~ spl0_84
| ~ spl0_257
| ~ spl0_7
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f2753,f2882]) ).
fof(f2964,plain,
( h2(e13) != e20
| ~ spl0_71
| ~ spl0_84
| ~ spl0_257
| ~ spl0_7
| spl0_160 ),
inference(paramodulation,[status(thm)],[f1712,f2963]) ).
fof(f2965,plain,
( ~ spl0_251
| ~ spl0_71
| ~ spl0_84
| ~ spl0_257
| ~ spl0_7
| spl0_160 ),
inference(split_clause,[status(thm)],[f2964,f1394,f744,f787,f1418,f504,f1078]) ).
fof(f2971,plain,
( h2(op1(e11,e10)) != op2(e22,e23)
| ~ spl0_71
| ~ spl0_84
| ~ spl0_257
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f2753,f2883]) ).
fof(f2972,plain,
( h2(e10) != e23
| ~ spl0_257
| ~ spl0_20
| spl0_164 ),
inference(paramodulation,[status(thm)],[f271,f2885]) ).
fof(f2973,plain,
( ~ spl0_178
| ~ spl0_257
| ~ spl0_20
| spl0_164 ),
inference(split_clause,[status(thm)],[f2972,f1132,f1418,f547,f1090]) ).
fof(f2978,plain,
( h2(e12) != e21
| ~ spl0_71
| ~ spl0_84
| ~ spl0_2
| spl0_159 ),
inference(paramodulation,[status(thm)],[f1711,f2895]) ).
fof(f2979,plain,
( ~ spl0_254
| ~ spl0_71
| ~ spl0_84
| ~ spl0_2
| spl0_159 ),
inference(split_clause,[status(thm)],[f2978,f1406,f744,f787,f488,f1075]) ).
fof(f3027,plain,
( h2(e11) != op2(e22,e23)
| ~ spl0_17
| ~ spl0_71
| ~ spl0_84
| ~ spl0_257
| spl0_163 ),
inference(backward_demodulation,[status(thm)],[f538,f2971]) ).
fof(f3028,plain,
( h2(e11) != e22
| ~ spl0_110
| ~ spl0_17
| ~ spl0_71
| ~ spl0_84
| ~ spl0_257
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f872,f3027]) ).
fof(f3029,plain,
( e22 != e22
| ~ spl0_110
| ~ spl0_17
| ~ spl0_71
| ~ spl0_84
| ~ spl0_257
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f1419,f3028]) ).
fof(f3030,plain,
( $false
| ~ spl0_110
| ~ spl0_17
| ~ spl0_71
| ~ spl0_84
| ~ spl0_257
| spl0_163 ),
inference(trivial_equality_resolution,[status(esa)],[f3029]) ).
fof(f3031,plain,
( ~ spl0_110
| ~ spl0_17
| ~ spl0_71
| ~ spl0_84
| ~ spl0_257
| spl0_163 ),
inference(contradiction_clause,[status(thm)],[f3030]) ).
fof(f3037,plain,
( h2(e12) != op2(e21,e20)
| ~ spl0_46
| ~ spl0_84
| spl0_170 ),
inference(backward_demodulation,[status(thm)],[f632,f2736]) ).
fof(f3038,plain,
( h2(e12) != e21
| ~ spl0_81
| ~ spl0_46
| ~ spl0_84
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f778,f3037]) ).
fof(f3039,plain,
( e21 != e21
| ~ spl0_81
| ~ spl0_46
| ~ spl0_84
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f276,f3038]) ).
fof(f3040,plain,
( $false
| ~ spl0_81
| ~ spl0_46
| ~ spl0_84
| spl0_170 ),
inference(trivial_equality_resolution,[status(esa)],[f3039]) ).
fof(f3041,plain,
( ~ spl0_81
| ~ spl0_46
| ~ spl0_84
| spl0_170 ),
inference(contradiction_clause,[status(thm)],[f3040]) ).
fof(f3062,plain,
( h2(e10) != op2(e23,e20)
| ~ spl0_12
| ~ spl0_71
| ~ spl0_84
| spl0_162 ),
inference(backward_demodulation,[status(thm)],[f522,f2901]) ).
fof(f3063,plain,
( h2(e10) != e23
| ~ spl0_115
| ~ spl0_12
| ~ spl0_71
| ~ spl0_84
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f888,f3062]) ).
fof(f3064,plain,
( e23 != e23
| ~ spl0_115
| ~ spl0_12
| ~ spl0_71
| ~ spl0_84
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f2753,f3063]) ).
fof(f3065,plain,
( $false
| ~ spl0_115
| ~ spl0_12
| ~ spl0_71
| ~ spl0_84
| spl0_162 ),
inference(trivial_equality_resolution,[status(esa)],[f3064]) ).
fof(f3066,plain,
( ~ spl0_115
| ~ spl0_12
| ~ spl0_71
| ~ spl0_84
| spl0_162 ),
inference(contradiction_clause,[status(thm)],[f3065]) ).
fof(f3067,plain,
$false,
inference(sat_refutation,[status(thm)],[f520,f533,f650,f676,f689,f691,f693,f696,f701,f704,f711,f712,f718,f719,f721,f760,f812,f825,f838,f851,f890,f933,f945,f954,f955,f958,f959,f965,f971,f976,f980,f985,f991,f996,f1000,f1135,f1297,f1302,f1307,f1317,f1322,f1327,f1345,f1381,f1397,f1409,f1421,f1433,f1453,f1473,f1485,f1509,f1529,f1530,f1534,f1539,f1545,f1549,f1550,f1554,f1559,f1565,f1566,f1567,f1568,f1570,f1572,f1574,f1575,f1577,f1578,f1580,f1620,f1670,f1689,f1693,f1696,f1738,f1780,f1788,f1832,f1836,f1850,f1851,f1853,f1854,f1855,f1870,f1874,f1881,f1896,f1902,f1910,f1932,f1941,f1957,f1993,f2004,f2030,f2034,f2037,f2048,f2072,f2100,f2105,f2108,f2111,f2125,f2129,f2151,f2156,f2159,f2165,f2170,f2175,f2177,f2179,f2182,f2183,f2186,f2195,f2206,f2210,f2213,f2217,f2220,f2223,f2227,f2229,f2231,f2233,f2235,f2237,f2238,f2240,f2245,f2248,f2252,f2254,f2255,f2258,f2267,f2279,f2301,f2305,f2312,f2321,f2339,f2360,f2366,f2368,f2371,f2374,f2375,f2377,f2379,f2380,f2394,f2419,f2422,f2467,f2487,f2493,f2506,f2517,f2520,f2528,f2531,f2535,f2607,f2632,f2668,f2698,f2720,f2726,f2752,f2755,f2770,f2775,f2788,f2836,f2851,f2858,f2862,f2890,f2900,f2907,f2930,f2943,f2951,f2959,f2965,f2973,f2979,f3031,f3041,f3066]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG114+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 23:28:51 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.6.0
% 0.19/0.51 % Refutation found
% 0.19/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.53 % Elapsed time: 0.178688 seconds
% 0.19/0.53 % CPU time: 1.282980 seconds
% 0.19/0.53 % Total memory used: 40.327 MB
% 0.19/0.53 % Net memory used: 39.357 MB
%------------------------------------------------------------------------------