TSTP Solution File: ALG107+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG107+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:09:50 EDT 2024
% Result : Theorem 1.33s 0.63s
% Output : CNFRefutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 259
% Syntax : Number of formulae : 1591 ( 191 unt; 0 def)
% Number of atoms : 5142 (2444 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 5982 (2431 ~;2699 |; 610 &)
% ( 224 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 244 ( 242 usr; 243 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,op1(e10,e10)) = e10
& op1(e11,op1(e10,e11)) = e11
& op1(e12,op1(e10,e12)) = e12
& op1(e13,op1(e10,e13)) = e13 )
| ( op1(e10,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e12,op1(e11,e12)) = e12
& op1(e13,op1(e11,e13)) = e13 )
| ( op1(e10,op1(e12,e10)) = e10
& op1(e11,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e13,op1(e12,e13)) = e13 )
| ( op1(e10,op1(e13,e10)) = e10
& op1(e11,op1(e13,e11)) = e11
& op1(e12,op1(e13,e12)) = e12
& op1(e13,op1(e13,e13)) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( op2(e20,op2(e20,e20)) = e20
& op2(e21,op2(e20,e21)) = e21
& op2(e22,op2(e20,e22)) = e22
& op2(e23,op2(e20,e23)) = e23 )
| ( op2(e20,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e22,op2(e21,e22)) = e22
& op2(e23,op2(e21,e23)) = e23 )
| ( op2(e20,op2(e22,e20)) = e20
& op2(e21,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e23,op2(e22,e23)) = e23 )
| ( op2(e20,op2(e23,e20)) = e20
& op2(e21,op2(e23,e21)) = e21
& op2(e22,op2(e23,e22)) = e22
& op2(e23,op2(e23,e23)) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e10 = op1(e12,e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e20 = op2(e22,e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e12) = e20
& h1(e10) = op2(e20,e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e13) = op2(op2(e20,op2(e20,e20)),op2(e20,e20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e12) = e21
& h2(e10) = op2(e21,e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e12) = e22
& h3(e10) = op2(e22,e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e13) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e12) = e23
& h4(e10) = op2(e23,e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e13) = op2(op2(e23,op2(e23,e23)),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(f21,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f26,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f27,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f30,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = 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(f40,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f41,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
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(f43,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f44,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
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(f49,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f55,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f56,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
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(f59,plain,
( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f61,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f63,plain,
( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f68,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f69,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
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(f71,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = 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(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(f78,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = 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(f81,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f84,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f86,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f88,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f89,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f90,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f91,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f92,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f93,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f94,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f95,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f96,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
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(f103,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f104,plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f105,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f106,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f107,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = 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(f110,plain,
( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f111,plain,
( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 ),
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(f114,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f120,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f122,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f123,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f125,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f126,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f128,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f129,plain,
op1(e10,e12) != op1(e12,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(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f138,plain,
op1(e11,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(f143,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f148,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
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(f154,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f158,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f161,plain,
op1(e13,e11) != op1(e13,e12),
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(f168,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f169,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f171,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f174,plain,
op2(e21,e21) != op2(e23,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(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f182,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f183,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f184,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f187,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != 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(f196,plain,
op2(e21,e20) != op2(e21,e23),
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(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f210,plain,
op2(e23,e21) != 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(f220,plain,
e20 != e23,
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,op1(e10,e10)) = e10
& op1(e11,op1(e10,e11)) = e11
& op1(e12,op1(e10,e12)) = e12
& op1(e13,op1(e10,e13)) = e13 )
| ( op1(e10,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e12,op1(e11,e12)) = e12
& op1(e13,op1(e11,e13)) = e13 )
| ( op1(e10,op1(e12,e10)) = e10
& op1(e11,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e13,op1(e12,e13)) = e13 ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f241,plain,
( pd0_0
| ( op1(e10,op1(e13,e10)) = e10
& op1(e11,op1(e13,e11)) = e11
& op1(e12,op1(e13,e12)) = e12
& op1(e13,op1(e13,e13)) = e13 ) ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f242,plain,
( pd0_0
| op1(e10,op1(e13,e10)) = e10 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f243,plain,
( pd0_0
| op1(e11,op1(e13,e11)) = e11 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f244,plain,
( pd0_0
| op1(e12,op1(e13,e12)) = e12 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f246,plain,
( pd0_1
=> ( ( op2(e20,op2(e20,e20)) = e20
& op2(e21,op2(e20,e21)) = e21
& op2(e22,op2(e20,e22)) = e22
& op2(e23,op2(e20,e23)) = e23 )
| ( op2(e20,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e22,op2(e21,e22)) = e22
& op2(e23,op2(e21,e23)) = e23 )
| ( op2(e20,op2(e22,e20)) = e20
& op2(e21,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e23,op2(e22,e23)) = e23 ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f247,plain,
( pd0_1
| ( op2(e20,op2(e23,e20)) = e20
& op2(e21,op2(e23,e21)) = e21
& op2(e22,op2(e23,e22)) = e22
& op2(e23,op2(e23,e23)) = e23 ) ),
inference(formula_renaming,[status(thm)],[f11,f246]) ).
fof(f248,plain,
( pd0_1
| op2(e20,op2(e23,e20)) = e20 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f249,plain,
( pd0_1
| op2(e21,op2(e23,e21)) = e21 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f250,plain,
( pd0_1
| op2(e22,op2(e23,e22)) = e22 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f251,plain,
( pd0_1
| op2(e23,op2(e23,e23)) = e23 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f252,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f253,plain,
e11 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f254,plain,
e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f255,plain,
e20 = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f256,plain,
e21 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f257,plain,
e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f258,plain,
h1(e12) = e20,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f259,plain,
h1(e10) = op2(e20,e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f260,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f261,plain,
h1(e13) = op2(op2(e20,op2(e20,e20)),op2(e20,e20)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f262,plain,
h2(e12) = e21,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f263,plain,
h2(e10) = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f264,plain,
h2(e11) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f265,plain,
h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f266,plain,
h3(e12) = e22,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f267,plain,
h3(e10) = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f268,plain,
h3(e11) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f269,plain,
h3(e13) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f270,plain,
h4(e12) = e23,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f271,plain,
h4(e10) = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f272,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f273,plain,
h4(e13) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f274,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(f275,plain,
( pd0_2
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f274]) ).
fof(f276,plain,
( pd0_3
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f274]) ).
fof(f277,plain,
( pd0_4
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f274]) ).
fof(f278,plain,
( pd0_5
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f274]) ).
fof(f279,plain,
( pd0_6
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f274]) ).
fof(f280,plain,
( pd0_7
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f274]) ).
fof(f281,plain,
( pd0_8
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f274]) ).
fof(f282,plain,
( pd0_9
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f274]) ).
fof(f283,plain,
( pd0_10
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f274]) ).
fof(f284,plain,
( pd0_11
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f274]) ).
fof(f285,plain,
( pd0_12
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f274]) ).
fof(f286,plain,
( pd0_13
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f274]) ).
fof(f287,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| pd0_2
| pd0_3
| pd0_4
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| pd0_5
| pd0_6
| pd0_7
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_8
| pd0_9
| pd0_10
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| pd0_11
| pd0_12
| pd0_13
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f274,f286,f285,f284,f283,f282,f281,f280,f279,f278,f277,f276,f275]) ).
fof(f302,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| pd0_11
| pd0_12
| pd0_13
| h4(e12) != e23 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f304,plain,
( ~ pd0_0
| ( op1(e10,op1(e10,e10)) = e10
& op1(e11,op1(e10,e11)) = e11
& op1(e12,op1(e10,e12)) = e12
& op1(e13,op1(e10,e13)) = e13 )
| ( op1(e10,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e12,op1(e11,e12)) = e12
& op1(e13,op1(e11,e13)) = e13 )
| ( op1(e10,op1(e12,e10)) = e10
& op1(e11,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e13,op1(e12,e13)) = e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f240]) ).
fof(f305,plain,
( pd0_14
=> ( ( op1(e10,op1(e10,e10)) = e10
& op1(e11,op1(e10,e11)) = e11
& op1(e12,op1(e10,e12)) = e12
& op1(e13,op1(e10,e13)) = e13 )
| ( op1(e10,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e12,op1(e11,e12)) = e12
& op1(e13,op1(e11,e13)) = e13 ) ) ),
introduced(predicate_definition,[f304]) ).
fof(f306,plain,
( ~ pd0_0
| pd0_14
| ( op1(e10,op1(e12,e10)) = e10
& op1(e11,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e13,op1(e12,e13)) = e13 ) ),
inference(formula_renaming,[status(thm)],[f304,f305]) ).
fof(f307,plain,
( ~ pd0_0
| pd0_14
| op1(e10,op1(e12,e10)) = e10 ),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f309,plain,
( ~ pd0_0
| pd0_14
| op1(e12,op1(e12,e12)) = e12 ),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f311,plain,
( ~ pd0_1
| ( op2(e20,op2(e20,e20)) = e20
& op2(e21,op2(e20,e21)) = e21
& op2(e22,op2(e20,e22)) = e22
& op2(e23,op2(e20,e23)) = e23 )
| ( op2(e20,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e22,op2(e21,e22)) = e22
& op2(e23,op2(e21,e23)) = e23 )
| ( op2(e20,op2(e22,e20)) = e20
& op2(e21,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e23,op2(e22,e23)) = e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f246]) ).
fof(f312,plain,
( pd0_15
=> ( ( op2(e20,op2(e20,e20)) = e20
& op2(e21,op2(e20,e21)) = e21
& op2(e22,op2(e20,e22)) = e22
& op2(e23,op2(e20,e23)) = e23 )
| ( op2(e20,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e22,op2(e21,e22)) = e22
& op2(e23,op2(e21,e23)) = e23 ) ) ),
introduced(predicate_definition,[f311]) ).
fof(f313,plain,
( ~ pd0_1
| pd0_15
| ( op2(e20,op2(e22,e20)) = e20
& op2(e21,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e23,op2(e22,e23)) = e23 ) ),
inference(formula_renaming,[status(thm)],[f311,f312]) ).
fof(f316,plain,
( ~ pd0_1
| pd0_15
| op2(e22,op2(e22,e22)) = e22 ),
inference(cnf_transformation,[status(esa)],[f313]) ).
fof(f318,plain,
( ~ pd0_2
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f275]) ).
fof(f321,plain,
( ~ pd0_2
| h1(e12) != e20 ),
inference(cnf_transformation,[status(esa)],[f318]) ).
fof(f328,plain,
( ~ pd0_4
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f277]) ).
fof(f329,plain,
( ~ pd0_4
| h1(e10) != e22 ),
inference(cnf_transformation,[status(esa)],[f328]) ).
fof(f333,plain,
( ~ pd0_5
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f278]) ).
fof(f334,plain,
( ~ pd0_5
| h2(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f333]) ).
fof(f338,plain,
( ~ pd0_6
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f279]) ).
fof(f341,plain,
( ~ pd0_6
| h2(e12) != e21 ),
inference(cnf_transformation,[status(esa)],[f338]) ).
fof(f348,plain,
( ~ pd0_8
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f281]) ).
fof(f349,plain,
( ~ pd0_8
| h3(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f348]) ).
fof(f353,plain,
( ~ pd0_9
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f282]) ).
fof(f355,plain,
( ~ pd0_9
| h3(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f353]) ).
fof(f358,plain,
( ~ pd0_10
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f283]) ).
fof(f361,plain,
( ~ pd0_10
| h3(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f358]) ).
fof(f363,plain,
( ~ pd0_11
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f284]) ).
fof(f364,plain,
( ~ pd0_11
| h4(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f363]) ).
fof(f368,plain,
( ~ pd0_12
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f285]) ).
fof(f372,plain,
( ~ pd0_12
| h4(e13) != e21 ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f373,plain,
( ~ pd0_13
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f286]) ).
fof(f375,plain,
( ~ pd0_13
| h4(e11) != e22 ),
inference(cnf_transformation,[status(esa)],[f373]) ).
fof(f378,plain,
( ~ pd0_14
| ( op1(e10,op1(e10,e10)) = e10
& op1(e11,op1(e10,e11)) = e11
& op1(e12,op1(e10,e12)) = e12
& op1(e13,op1(e10,e13)) = e13 )
| ( op1(e10,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e12,op1(e11,e12)) = e12
& op1(e13,op1(e11,e13)) = e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f305]) ).
fof(f379,plain,
( pd0_16
=> ( op1(e10,op1(e10,e10)) = e10
& op1(e11,op1(e10,e11)) = e11
& op1(e12,op1(e10,e12)) = e12
& op1(e13,op1(e10,e13)) = e13 ) ),
introduced(predicate_definition,[f378]) ).
fof(f380,plain,
( ~ pd0_14
| pd0_16
| ( op1(e10,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e12,op1(e11,e12)) = e12
& op1(e13,op1(e11,e13)) = e13 ) ),
inference(formula_renaming,[status(thm)],[f378,f379]) ).
fof(f381,plain,
( ~ pd0_14
| pd0_16
| op1(e10,op1(e11,e10)) = e10 ),
inference(cnf_transformation,[status(esa)],[f380]) ).
fof(f382,plain,
( ~ pd0_14
| pd0_16
| op1(e11,op1(e11,e11)) = e11 ),
inference(cnf_transformation,[status(esa)],[f380]) ).
fof(f383,plain,
( ~ pd0_14
| pd0_16
| op1(e12,op1(e11,e12)) = e12 ),
inference(cnf_transformation,[status(esa)],[f380]) ).
fof(f385,plain,
( ~ pd0_15
| ( op2(e20,op2(e20,e20)) = e20
& op2(e21,op2(e20,e21)) = e21
& op2(e22,op2(e20,e22)) = e22
& op2(e23,op2(e20,e23)) = e23 )
| ( op2(e20,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e22,op2(e21,e22)) = e22
& op2(e23,op2(e21,e23)) = e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f312]) ).
fof(f386,plain,
( pd0_17
=> ( op2(e20,op2(e20,e20)) = e20
& op2(e21,op2(e20,e21)) = e21
& op2(e22,op2(e20,e22)) = e22
& op2(e23,op2(e20,e23)) = e23 ) ),
introduced(predicate_definition,[f385]) ).
fof(f387,plain,
( ~ pd0_15
| pd0_17
| ( op2(e20,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e22,op2(e21,e22)) = e22
& op2(e23,op2(e21,e23)) = e23 ) ),
inference(formula_renaming,[status(thm)],[f385,f386]) ).
fof(f388,plain,
( ~ pd0_15
| pd0_17
| op2(e20,op2(e21,e20)) = e20 ),
inference(cnf_transformation,[status(esa)],[f387]) ).
fof(f389,plain,
( ~ pd0_15
| pd0_17
| op2(e21,op2(e21,e21)) = e21 ),
inference(cnf_transformation,[status(esa)],[f387]) ).
fof(f392,plain,
( ~ pd0_16
| ( op1(e10,op1(e10,e10)) = e10
& op1(e11,op1(e10,e11)) = e11
& op1(e12,op1(e10,e12)) = e12
& op1(e13,op1(e10,e13)) = e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f379]) ).
fof(f393,plain,
( ~ pd0_16
| op1(e10,op1(e10,e10)) = e10 ),
inference(cnf_transformation,[status(esa)],[f392]) ).
fof(f394,plain,
( ~ pd0_16
| op1(e11,op1(e10,e11)) = e11 ),
inference(cnf_transformation,[status(esa)],[f392]) ).
fof(f395,plain,
( ~ pd0_16
| op1(e12,op1(e10,e12)) = e12 ),
inference(cnf_transformation,[status(esa)],[f392]) ).
fof(f396,plain,
( ~ pd0_16
| op1(e13,op1(e10,e13)) = e13 ),
inference(cnf_transformation,[status(esa)],[f392]) ).
fof(f397,plain,
( ~ pd0_17
| ( op2(e20,op2(e20,e20)) = e20
& op2(e21,op2(e20,e21)) = e21
& op2(e22,op2(e20,e22)) = e22
& op2(e23,op2(e20,e23)) = e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f386]) ).
fof(f398,plain,
( ~ pd0_17
| op2(e20,op2(e20,e20)) = e20 ),
inference(cnf_transformation,[status(esa)],[f397]) ).
fof(f399,plain,
( ~ pd0_17
| op2(e21,op2(e20,e21)) = e21 ),
inference(cnf_transformation,[status(esa)],[f397]) ).
fof(f400,plain,
( ~ pd0_17
| op2(e22,op2(e20,e22)) = e22 ),
inference(cnf_transformation,[status(esa)],[f397]) ).
fof(f401,plain,
( ~ pd0_17
| op2(e23,op2(e20,e23)) = e23 ),
inference(cnf_transformation,[status(esa)],[f397]) ).
fof(f402,plain,
( spl0_0
<=> op1(e10,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f403,plain,
( op1(e10,e10) = e10
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f408,plain,
( spl0_2
<=> op1(e10,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f409,plain,
( op1(e10,e10) = e12
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( spl0_3
<=> op1(e10,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f412,plain,
( op1(e10,e10) = e13
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f415,plain,
( spl0_4
<=> op1(e10,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f416,plain,
( op1(e10,e11) = e10
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( spl0_5
<=> op1(e10,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f419,plain,
( op1(e10,e11) = e11
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( spl0_6
<=> op1(e10,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f422,plain,
( op1(e10,e11) = e12
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( spl0_7
<=> op1(e10,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f425,plain,
( op1(e10,e11) = e13
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f21,f415,f418,f421,f424]) ).
fof(f428,plain,
( spl0_8
<=> op1(e10,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f429,plain,
( op1(e10,e12) = e10
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( spl0_9
<=> op1(e10,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f432,plain,
( op1(e10,e12) = e11
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( spl0_10
<=> op1(e10,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f435,plain,
( op1(e10,e12) = e12
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,plain,
( spl0_11
<=> op1(e10,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f438,plain,
( op1(e10,e12) = e13
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f441,plain,
( spl0_12
<=> op1(e10,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f444,plain,
( spl0_13
<=> op1(e10,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f447,plain,
( spl0_14
<=> op1(e10,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f448,plain,
( op1(e10,e13) = e12
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( spl0_15
<=> op1(e10,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f451,plain,
( op1(e10,e13) = e13
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f454,plain,
( spl0_16
<=> op1(e11,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f455,plain,
( op1(e11,e10) = e10
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( spl0_17
<=> op1(e11,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f458,plain,
( op1(e11,e10) = e11
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( spl0_18
<=> op1(e11,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f461,plain,
( op1(e11,e10) = e12
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( spl0_19
<=> op1(e11,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f467,plain,
( spl0_20
<=> op1(e11,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( op1(e11,e11) = e10
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( spl0_21
<=> op1(e11,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f471,plain,
( op1(e11,e11) = e11
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( spl0_22
<=> op1(e11,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f474,plain,
( op1(e11,e11) = e12
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( spl0_23
<=> op1(e11,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f477,plain,
( op1(e11,e11) = e13
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f25,f467,f470,f473,f476]) ).
fof(f480,plain,
( spl0_24
<=> op1(e11,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f481,plain,
( op1(e11,e12) = e10
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( spl0_25
<=> op1(e11,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( op1(e11,e12) = e11
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( spl0_26
<=> op1(e11,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( op1(e11,e12) = e12
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( spl0_27
<=> op1(e11,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f490,plain,
( op1(e11,e12) = e13
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f26,f480,f483,f486,f489]) ).
fof(f493,plain,
( spl0_28
<=> op1(e11,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f494,plain,
( op1(e11,e13) = e10
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( spl0_29
<=> op1(e11,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f497,plain,
( op1(e11,e13) = e11
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( spl0_30
<=> op1(e11,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f502,plain,
( spl0_31
<=> op1(e11,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f503,plain,
( op1(e11,e13) = e13
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f27,f493,f496,f499,f502]) ).
fof(f506,plain,
( spl0_32
<=> op1(e12,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f507,plain,
( op1(e12,e10) = e10
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( spl0_33
<=> op1(e12,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f512,plain,
( spl0_34
<=> op1(e12,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f513,plain,
( op1(e12,e10) = e12
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( spl0_35
<=> op1(e12,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f516,plain,
( op1(e12,e10) = e13
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f522,plain,
( spl0_37
<=> op1(e12,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f523,plain,
( op1(e12,e11) = e11
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( spl0_38
<=> op1(e12,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f526,plain,
( op1(e12,e11) = e12
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,plain,
( spl0_39
<=> op1(e12,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f529,plain,
( op1(e12,e11) = e13
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f532,plain,
( spl0_40
<=> op1(e12,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f535,plain,
( spl0_41
<=> op1(e12,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f536,plain,
( op1(e12,e12) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( spl0_42
<=> op1(e12,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f539,plain,
( op1(e12,e12) = e12
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( spl0_43
<=> op1(e12,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f542,plain,
( op1(e12,e12) = e13
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f30,f532,f535,f538,f541]) ).
fof(f545,plain,
( spl0_44
<=> op1(e12,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f546,plain,
( op1(e12,e13) = e10
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( spl0_45
<=> op1(e12,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f549,plain,
( op1(e12,e13) = e11
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( spl0_46
<=> op1(e12,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f552,plain,
( op1(e12,e13) = e12
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( spl0_47
<=> op1(e12,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f555,plain,
( op1(e12,e13) = e13
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f558,plain,
( spl0_48
<=> op1(e13,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f559,plain,
( op1(e13,e10) = e10
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f564,plain,
( spl0_50
<=> op1(e13,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f565,plain,
( op1(e13,e10) = e12
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( spl0_51
<=> op1(e13,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f568,plain,
( op1(e13,e10) = e13
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f571,plain,
( spl0_52
<=> op1(e13,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f574,plain,
( spl0_53
<=> op1(e13,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f575,plain,
( op1(e13,e11) = e11
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,plain,
( spl0_54
<=> op1(e13,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f580,plain,
( spl0_55
<=> op1(e13,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f581,plain,
( op1(e13,e11) = e13
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f584,plain,
( spl0_56
<=> op1(e13,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f585,plain,
( op1(e13,e12) = e10
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( spl0_57
<=> op1(e13,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f588,plain,
( op1(e13,e12) = e11
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( spl0_58
<=> op1(e13,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f591,plain,
( op1(e13,e12) = e12
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,plain,
( spl0_59
<=> op1(e13,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f594,plain,
( op1(e13,e12) = e13
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f597,plain,
( spl0_60
<=> op1(e13,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f598,plain,
( op1(e13,e13) = e10
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( spl0_61
<=> op1(e13,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f606,plain,
( spl0_63
<=> op1(e13,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f611,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f37,f402,f454,f506,f558]) ).
fof(f614,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f40,f408,f421,f434,f447]) ).
fof(f615,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f41,f408,f460,f512,f564]) ).
fof(f616,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f42,f411,f424,f437,f450]) ).
fof(f617,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f43,f411,f463,f515,f567]) ).
fof(f618,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f44,f454,f467,f480,f493]) ).
fof(f621,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f47,f418,f470,f522,f574]) ).
fof(f623,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f49,f421,f473,f525,f577]) ).
fof(f628,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f54,f509,f522,f535,f548]) ).
fof(f629,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f55,f431,f483,f535,f587]) ).
fof(f630,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f56,f512,f525,f538,f551]) ).
fof(f631,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f57,f434,f486,f538,f590]) ).
fof(f632,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f58,f515,f528,f541,f554]) ).
fof(f633,plain,
( spl0_11
| spl0_27
| spl0_43
| spl0_59 ),
inference(split_clause,[status(thm)],[f59,f437,f489,f541,f593]) ).
fof(f635,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f61,f441,f493,f545,f597]) ).
fof(f637,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f63,f444,f496,f548,f600]) ).
fof(f642,plain,
( spl0_64
<=> op2(e20,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f643,plain,
( op2(e20,e20) = e20
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( spl0_65
<=> op2(e20,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f646,plain,
( op2(e20,e20) = e21
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,plain,
( spl0_66
<=> op2(e20,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f649,plain,
( op2(e20,e20) = e22
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,plain,
( spl0_67
<=> op2(e20,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f652,plain,
( op2(e20,e20) = e23
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,plain,
( spl0_64
| spl0_65
| spl0_66
| spl0_67 ),
inference(split_clause,[status(thm)],[f68,f642,f645,f648,f651]) ).
fof(f655,plain,
( spl0_68
<=> op2(e20,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f656,plain,
( op2(e20,e21) = e20
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( spl0_69
<=> op2(e20,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f659,plain,
( op2(e20,e21) = e21
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( spl0_70
<=> op2(e20,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f662,plain,
( op2(e20,e21) = e22
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( spl0_71
<=> op2(e20,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f665,plain,
( op2(e20,e21) = e23
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,plain,
( spl0_68
| spl0_69
| spl0_70
| spl0_71 ),
inference(split_clause,[status(thm)],[f69,f655,f658,f661,f664]) ).
fof(f668,plain,
( spl0_72
<=> op2(e20,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f669,plain,
( op2(e20,e22) = e20
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( spl0_73
<=> op2(e20,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( op2(e20,e22) = e21
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( spl0_74
<=> op2(e20,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f675,plain,
( op2(e20,e22) = e22
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( spl0_75
<=> op2(e20,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f678,plain,
( op2(e20,e22) = e23
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(split_clause,[status(thm)],[f70,f668,f671,f674,f677]) ).
fof(f681,plain,
( spl0_76
<=> op2(e20,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( op2(e20,e23) = e20
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,plain,
( spl0_77
<=> op2(e20,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f685,plain,
( op2(e20,e23) = e21
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( spl0_78
<=> op2(e20,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f688,plain,
( op2(e20,e23) = e22
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,plain,
( spl0_79
<=> op2(e20,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f691,plain,
( op2(e20,e23) = e23
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( spl0_76
| spl0_77
| spl0_78
| spl0_79 ),
inference(split_clause,[status(thm)],[f71,f681,f684,f687,f690]) ).
fof(f694,plain,
( spl0_80
<=> op2(e21,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f695,plain,
( op2(e21,e20) = e20
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,plain,
( spl0_81
<=> op2(e21,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f698,plain,
( op2(e21,e20) = e21
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,plain,
( spl0_82
<=> op2(e21,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f701,plain,
( op2(e21,e20) = e22
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( spl0_83
<=> op2(e21,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f707,plain,
( spl0_84
<=> op2(e21,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f708,plain,
( op2(e21,e21) = e20
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,plain,
( spl0_85
<=> op2(e21,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f711,plain,
( op2(e21,e21) = e21
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( spl0_86
<=> op2(e21,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f714,plain,
( op2(e21,e21) = e22
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,plain,
( spl0_87
<=> op2(e21,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f717,plain,
( op2(e21,e21) = e23
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f720,plain,
( spl0_88
<=> op2(e21,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f721,plain,
( op2(e21,e22) = e20
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( spl0_89
<=> op2(e21,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f724,plain,
( op2(e21,e22) = e21
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( spl0_90
<=> op2(e21,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f727,plain,
( op2(e21,e22) = e22
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( spl0_91
<=> op2(e21,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f730,plain,
( op2(e21,e22) = e23
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,plain,
( spl0_88
| spl0_89
| spl0_90
| spl0_91 ),
inference(split_clause,[status(thm)],[f74,f720,f723,f726,f729]) ).
fof(f733,plain,
( spl0_92
<=> op2(e21,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f734,plain,
( op2(e21,e23) = e20
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( spl0_93
<=> op2(e21,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( op2(e21,e23) = e21
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( spl0_94
<=> op2(e21,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f740,plain,
( op2(e21,e23) = e22
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( spl0_95
<=> op2(e21,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f743,plain,
( op2(e21,e23) = e23
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f746,plain,
( spl0_96
<=> op2(e22,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f747,plain,
( op2(e22,e20) = e20
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( spl0_97
<=> op2(e22,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f752,plain,
( spl0_98
<=> op2(e22,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f753,plain,
( op2(e22,e20) = e22
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( spl0_99
<=> op2(e22,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f756,plain,
( op2(e22,e20) = e23
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( spl0_96
| spl0_97
| spl0_98
| spl0_99 ),
inference(split_clause,[status(thm)],[f76,f746,f749,f752,f755]) ).
fof(f759,plain,
( spl0_100
<=> op2(e22,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f760,plain,
( op2(e22,e21) = e20
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,plain,
( spl0_101
<=> op2(e22,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f763,plain,
( op2(e22,e21) = e21
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( spl0_102
<=> op2(e22,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f766,plain,
( op2(e22,e21) = e22
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( spl0_103
<=> op2(e22,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f769,plain,
( op2(e22,e21) = e23
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f772,plain,
( spl0_104
<=> op2(e22,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f775,plain,
( spl0_105
<=> op2(e22,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f776,plain,
( op2(e22,e22) = e21
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,plain,
( spl0_106
<=> op2(e22,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f779,plain,
( op2(e22,e22) = e22
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,plain,
( spl0_107
<=> op2(e22,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f782,plain,
( op2(e22,e22) = e23
| ~ spl0_107 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(split_clause,[status(thm)],[f78,f772,f775,f778,f781]) ).
fof(f785,plain,
( spl0_108
<=> op2(e22,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f786,plain,
( op2(e22,e23) = e20
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( spl0_109
<=> op2(e22,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f789,plain,
( op2(e22,e23) = e21
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,plain,
( spl0_110
<=> op2(e22,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f792,plain,
( op2(e22,e23) = e22
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,plain,
( spl0_111
<=> op2(e22,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f795,plain,
( op2(e22,e23) = e23
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f798,plain,
( spl0_112
<=> op2(e23,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f799,plain,
( op2(e23,e20) = e20
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,plain,
( spl0_113
<=> op2(e23,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f802,plain,
( op2(e23,e20) = e21
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( spl0_114
<=> op2(e23,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f805,plain,
( op2(e23,e20) = e22
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,plain,
( spl0_115
<=> op2(e23,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f808,plain,
( op2(e23,e20) = e23
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,plain,
( spl0_112
| spl0_113
| spl0_114
| spl0_115 ),
inference(split_clause,[status(thm)],[f80,f798,f801,f804,f807]) ).
fof(f811,plain,
( spl0_116
<=> op2(e23,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f812,plain,
( op2(e23,e21) = e20
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,plain,
( spl0_117
<=> op2(e23,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f815,plain,
( op2(e23,e21) = e21
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,plain,
( spl0_118
<=> op2(e23,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f818,plain,
( op2(e23,e21) = e22
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,plain,
( spl0_119
<=> op2(e23,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f821,plain,
( op2(e23,e21) = e23
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f81,f811,f814,f817,f820]) ).
fof(f824,plain,
( spl0_120
<=> op2(e23,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f825,plain,
( op2(e23,e22) = e20
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,plain,
( spl0_121
<=> op2(e23,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f828,plain,
( op2(e23,e22) = e21
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,plain,
( spl0_122
<=> op2(e23,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f831,plain,
( op2(e23,e22) = e22
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,plain,
( spl0_123
<=> op2(e23,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f834,plain,
( op2(e23,e22) = e23
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f837,plain,
( spl0_124
<=> op2(e23,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f838,plain,
( op2(e23,e23) = e20
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( spl0_125
<=> op2(e23,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f841,plain,
( op2(e23,e23) = e21
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,plain,
( spl0_126
<=> op2(e23,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f844,plain,
( op2(e23,e23) = e22
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( spl0_127
<=> op2(e23,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f847,plain,
( op2(e23,e23) = e23
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f850,plain,
( spl0_64
| spl0_68
| spl0_72
| spl0_76 ),
inference(split_clause,[status(thm)],[f84,f642,f655,f668,f681]) ).
fof(f852,plain,
( spl0_65
| spl0_69
| spl0_73
| spl0_77 ),
inference(split_clause,[status(thm)],[f86,f645,f658,f671,f684]) ).
fof(f854,plain,
( spl0_66
| spl0_70
| spl0_74
| spl0_78 ),
inference(split_clause,[status(thm)],[f88,f648,f661,f674,f687]) ).
fof(f855,plain,
( spl0_66
| spl0_82
| spl0_98
| spl0_114 ),
inference(split_clause,[status(thm)],[f89,f648,f700,f752,f804]) ).
fof(f856,plain,
( spl0_67
| spl0_71
| spl0_75
| spl0_79 ),
inference(split_clause,[status(thm)],[f90,f651,f664,f677,f690]) ).
fof(f857,plain,
( spl0_67
| spl0_83
| spl0_99
| spl0_115 ),
inference(split_clause,[status(thm)],[f91,f651,f703,f755,f807]) ).
fof(f858,plain,
( spl0_80
| spl0_84
| spl0_88
| spl0_92 ),
inference(split_clause,[status(thm)],[f92,f694,f707,f720,f733]) ).
fof(f859,plain,
( spl0_68
| spl0_84
| spl0_100
| spl0_116 ),
inference(split_clause,[status(thm)],[f93,f655,f707,f759,f811]) ).
fof(f860,plain,
( spl0_81
| spl0_85
| spl0_89
| spl0_93 ),
inference(split_clause,[status(thm)],[f94,f697,f710,f723,f736]) ).
fof(f861,plain,
( spl0_69
| spl0_85
| spl0_101
| spl0_117 ),
inference(split_clause,[status(thm)],[f95,f658,f710,f762,f814]) ).
fof(f862,plain,
( spl0_82
| spl0_86
| spl0_90
| spl0_94 ),
inference(split_clause,[status(thm)],[f96,f700,f713,f726,f739]) ).
fof(f865,plain,
( spl0_71
| spl0_87
| spl0_103
| spl0_119 ),
inference(split_clause,[status(thm)],[f99,f664,f716,f768,f820]) ).
fof(f869,plain,
( spl0_73
| spl0_89
| spl0_105
| spl0_121 ),
inference(split_clause,[status(thm)],[f103,f671,f723,f775,f827]) ).
fof(f870,plain,
( spl0_98
| spl0_102
| spl0_106
| spl0_110 ),
inference(split_clause,[status(thm)],[f104,f752,f765,f778,f791]) ).
fof(f871,plain,
( spl0_74
| spl0_90
| spl0_106
| spl0_122 ),
inference(split_clause,[status(thm)],[f105,f674,f726,f778,f830]) ).
fof(f872,plain,
( spl0_99
| spl0_103
| spl0_107
| spl0_111 ),
inference(split_clause,[status(thm)],[f106,f755,f768,f781,f794]) ).
fof(f873,plain,
( spl0_75
| spl0_91
| spl0_107
| spl0_123 ),
inference(split_clause,[status(thm)],[f107,f677,f729,f781,f833]) ).
fof(f874,plain,
( spl0_112
| spl0_116
| spl0_120
| spl0_124 ),
inference(split_clause,[status(thm)],[f108,f798,f811,f824,f837]) ).
fof(f875,plain,
( spl0_76
| spl0_92
| spl0_108
| spl0_124 ),
inference(split_clause,[status(thm)],[f109,f681,f733,f785,f837]) ).
fof(f876,plain,
( spl0_113
| spl0_117
| spl0_121
| spl0_125 ),
inference(split_clause,[status(thm)],[f110,f801,f814,f827,f840]) ).
fof(f877,plain,
( spl0_77
| spl0_93
| spl0_109
| spl0_125 ),
inference(split_clause,[status(thm)],[f111,f684,f736,f788,f840]) ).
fof(f878,plain,
( spl0_114
| spl0_118
| spl0_122
| spl0_126 ),
inference(split_clause,[status(thm)],[f112,f804,f817,f830,f843]) ).
fof(f880,plain,
( spl0_115
| spl0_119
| spl0_123
| spl0_127 ),
inference(split_clause,[status(thm)],[f114,f807,f820,f833,f846]) ).
fof(f882,plain,
( spl0_128
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f885,plain,
( spl0_129
<=> op1(e10,op1(e13,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f886,plain,
( op1(e10,op1(e13,e10)) = e10
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( spl0_128
| spl0_129 ),
inference(split_clause,[status(thm)],[f242,f882,f885]) ).
fof(f889,plain,
( spl0_130
<=> op1(e11,op1(e13,e11)) = e11 ),
introduced(split_symbol_definition) ).
fof(f890,plain,
( op1(e11,op1(e13,e11)) = e11
| ~ spl0_130 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( spl0_128
| spl0_130 ),
inference(split_clause,[status(thm)],[f243,f882,f889]) ).
fof(f893,plain,
( spl0_131
<=> op1(e12,op1(e13,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f894,plain,
( op1(e12,op1(e13,e12)) = e12
| ~ spl0_131 ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,plain,
( spl0_128
| spl0_131 ),
inference(split_clause,[status(thm)],[f244,f882,f893]) ).
fof(f901,plain,
( spl0_133
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f904,plain,
( spl0_134
<=> op2(e20,op2(e23,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f905,plain,
( op2(e20,op2(e23,e20)) = e20
| ~ spl0_134 ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( spl0_133
| spl0_134 ),
inference(split_clause,[status(thm)],[f248,f901,f904]) ).
fof(f908,plain,
( spl0_135
<=> op2(e21,op2(e23,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f909,plain,
( op2(e21,op2(e23,e21)) = e21
| ~ spl0_135 ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f910,plain,
( op2(e21,op2(e23,e21)) != e21
| spl0_135 ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,plain,
( spl0_133
| spl0_135 ),
inference(split_clause,[status(thm)],[f249,f901,f908]) ).
fof(f912,plain,
( spl0_136
<=> op2(e22,op2(e23,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f913,plain,
( op2(e22,op2(e23,e22)) = e22
| ~ spl0_136 ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,plain,
( spl0_133
| spl0_136 ),
inference(split_clause,[status(thm)],[f250,f901,f912]) ).
fof(f916,plain,
( spl0_137
<=> op2(e23,op2(e23,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f919,plain,
( spl0_133
| spl0_137 ),
inference(split_clause,[status(thm)],[f251,f901,f916]) ).
fof(f932,plain,
( spl0_142
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f934,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl0_142 ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,plain,
( spl0_143
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f937,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl0_143 ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,plain,
( spl0_144
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f940,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl0_144 ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f944,plain,
( spl0_146
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f946,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl0_146 ),
inference(component_clause,[status(thm)],[f944]) ).
fof(f950,plain,
( spl0_148
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f952,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl0_148 ),
inference(component_clause,[status(thm)],[f950]) ).
fof(f962,plain,
( spl0_152
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f964,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl0_152 ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f968,plain,
( spl0_154
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f974,plain,
( spl0_156
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f981,plain,
( spl0_158
<=> h1(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f983,plain,
( h1(e11) != e23
| spl0_158 ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f1005,plain,
( spl0_165
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1007,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl0_165 ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,plain,
( spl0_166
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1010,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl0_166 ),
inference(component_clause,[status(thm)],[f1008]) ).
fof(f1011,plain,
( spl0_167
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1013,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl0_167 ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1017,plain,
( spl0_169
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1019,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl0_169 ),
inference(component_clause,[status(thm)],[f1017]) ).
fof(f1020,plain,
( spl0_170
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1021,plain,
( h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
| ~ spl0_170 ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1022,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl0_170 ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1023,plain,
( spl0_171
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1025,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl0_171 ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1041,plain,
( spl0_177
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f1044,plain,
( spl0_178
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f1054,plain,
( spl0_181
<=> h2(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f1056,plain,
( h2(e11) != e23
| spl0_181 ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1069,plain,
( spl0_185
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1070,plain,
( h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
| ~ spl0_185 ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1071,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl0_185 ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1078,plain,
( spl0_188
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1080,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl0_188 ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1081,plain,
( spl0_189
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1083,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl0_189 ),
inference(component_clause,[status(thm)],[f1081]) ).
fof(f1084,plain,
( spl0_190
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1085,plain,
( h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
| ~ spl0_190 ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1086,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl0_190 ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1090,plain,
( spl0_192
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1092,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl0_192 ),
inference(component_clause,[status(thm)],[f1090]) ).
fof(f1096,plain,
( spl0_194
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1098,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl0_194 ),
inference(component_clause,[status(thm)],[f1096]) ).
fof(f1108,plain,
( spl0_198
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1110,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl0_198 ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1114,plain,
( spl0_200
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f1117,plain,
( spl0_201
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f1120,plain,
( spl0_202
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f1135,plain,
( spl0_206
<=> h3(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1137,plain,
( h3(e13) != e23
| spl0_206 ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1139,plain,
( spl0_207
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1141,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl0_207 ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1142,plain,
( spl0_208
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1144,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl0_208 ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1145,plain,
( spl0_209
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1147,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl0_209 ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,plain,
( spl0_210
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1150,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl0_210 ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1151,plain,
( spl0_211
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1153,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl0_211 ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1154,plain,
( spl0_212
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1156,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl0_212 ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1157,plain,
( spl0_213
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1159,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl0_213 ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1160,plain,
( spl0_214
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1162,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl0_214 ),
inference(component_clause,[status(thm)],[f1160]) ).
fof(f1163,plain,
( spl0_215
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1165,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl0_215 ),
inference(component_clause,[status(thm)],[f1163]) ).
fof(f1166,plain,
( spl0_216
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1168,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl0_216 ),
inference(component_clause,[status(thm)],[f1166]) ).
fof(f1169,plain,
( spl0_217
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1171,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl0_217 ),
inference(component_clause,[status(thm)],[f1169]) ).
fof(f1172,plain,
( spl0_218
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1174,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| spl0_218 ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1175,plain,
( spl0_219
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1177,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl0_219 ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1178,plain,
( spl0_220
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1180,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl0_220 ),
inference(component_clause,[status(thm)],[f1178]) ).
fof(f1181,plain,
( spl0_221
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1183,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl0_221 ),
inference(component_clause,[status(thm)],[f1181]) ).
fof(f1184,plain,
( spl0_222
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1186,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl0_222 ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1187,plain,
( spl0_223
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f1190,plain,
( spl0_224
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f1193,plain,
( spl0_225
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f1196,plain,
( spl0_226
<=> h4(e10) = e23 ),
introduced(split_symbol_definition) ).
fof(f1198,plain,
( h4(e10) != e23
| spl0_226 ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1200,plain,
( spl0_227
<=> h4(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f1202,plain,
( h4(e11) != e23
| spl0_227 ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1204,plain,
( spl0_228
<=> h4(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f1206,plain,
( h4(e12) != e23
| spl0_228 ),
inference(component_clause,[status(thm)],[f1204]) ).
fof(f1207,plain,
( ~ spl0_207
| ~ spl0_208
| ~ spl0_209
| ~ spl0_210
| ~ spl0_211
| ~ spl0_212
| ~ spl0_213
| ~ spl0_214
| ~ spl0_215
| ~ spl0_216
| ~ spl0_217
| ~ spl0_218
| ~ spl0_219
| ~ spl0_220
| ~ spl0_221
| ~ spl0_222
| spl0_223
| spl0_224
| spl0_225
| ~ spl0_228 ),
inference(split_clause,[status(thm)],[f302,f1139,f1142,f1145,f1148,f1151,f1154,f1157,f1160,f1163,f1166,f1169,f1172,f1175,f1178,f1181,f1184,f1187,f1190,f1193,f1204]) ).
fof(f1208,plain,
( spl0_229
<=> h4(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1210,plain,
( h4(e13) != e23
| spl0_229 ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1212,plain,
( spl0_230
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f1215,plain,
( spl0_231
<=> op1(e10,op1(e12,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1216,plain,
( op1(e10,op1(e12,e10)) = e10
| ~ spl0_231 ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1218,plain,
( ~ spl0_128
| spl0_230
| spl0_231 ),
inference(split_clause,[status(thm)],[f307,f882,f1212,f1215]) ).
fof(f1223,plain,
( spl0_233
<=> op1(e12,op1(e12,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1224,plain,
( op1(e12,op1(e12,e12)) = e12
| ~ spl0_233 ),
inference(component_clause,[status(thm)],[f1223]) ).
fof(f1226,plain,
( ~ spl0_128
| spl0_230
| spl0_233 ),
inference(split_clause,[status(thm)],[f309,f882,f1212,f1223]) ).
fof(f1231,plain,
( spl0_235
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f1238,plain,
( spl0_237
<=> op2(e21,op2(e22,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1239,plain,
( op2(e21,op2(e22,e21)) = e21
| ~ spl0_237 ),
inference(component_clause,[status(thm)],[f1238]) ).
fof(f1242,plain,
( spl0_238
<=> op2(e22,op2(e22,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1243,plain,
( op2(e22,op2(e22,e22)) = e22
| ~ spl0_238 ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1245,plain,
( ~ spl0_133
| spl0_235
| spl0_238 ),
inference(split_clause,[status(thm)],[f316,f901,f1231,f1242]) ).
fof(f1246,plain,
( spl0_239
<=> op2(e23,op2(e22,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1247,plain,
( op2(e23,op2(e22,e23)) = e23
| ~ spl0_239 ),
inference(component_clause,[status(thm)],[f1246]) ).
fof(f1250,plain,
( spl0_240
<=> h1(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1251,plain,
( h1(e10) = e20
| ~ spl0_240 ),
inference(component_clause,[status(thm)],[f1250]) ).
fof(f1252,plain,
( h1(e10) != e20
| spl0_240 ),
inference(component_clause,[status(thm)],[f1250]) ).
fof(f1254,plain,
( spl0_241
<=> h1(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f1255,plain,
( h1(e11) = e20
| ~ spl0_241 ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1256,plain,
( h1(e11) != e20
| spl0_241 ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1258,plain,
( spl0_242
<=> h1(e12) = e20 ),
introduced(split_symbol_definition) ).
fof(f1260,plain,
( h1(e12) != e20
| spl0_242 ),
inference(component_clause,[status(thm)],[f1258]) ).
fof(f1261,plain,
( ~ spl0_154
| ~ spl0_242 ),
inference(split_clause,[status(thm)],[f321,f968,f1258]) ).
fof(f1262,plain,
( spl0_243
<=> h1(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1264,plain,
( h1(e13) != e20
| spl0_243 ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1282,plain,
( spl0_248
<=> h1(e10) = e22 ),
introduced(split_symbol_definition) ).
fof(f1283,plain,
( h1(e10) = e22
| ~ spl0_248 ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1284,plain,
( h1(e10) != e22
| spl0_248 ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1285,plain,
( ~ spl0_156
| ~ spl0_248 ),
inference(split_clause,[status(thm)],[f329,f974,f1282]) ).
fof(f1298,plain,
( spl0_252
<=> h2(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1300,plain,
( h2(e10) != e20
| spl0_252 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,plain,
( ~ spl0_177
| ~ spl0_252 ),
inference(split_clause,[status(thm)],[f334,f1041,f1298]) ).
fof(f1314,plain,
( spl0_256
<=> h2(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f1315,plain,
( h2(e10) = e21
| ~ spl0_256 ),
inference(component_clause,[status(thm)],[f1314]) ).
fof(f1316,plain,
( h2(e10) != e21
| spl0_256 ),
inference(component_clause,[status(thm)],[f1314]) ).
fof(f1318,plain,
( spl0_257
<=> h2(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1319,plain,
( h2(e11) = e21
| ~ spl0_257 ),
inference(component_clause,[status(thm)],[f1318]) ).
fof(f1320,plain,
( h2(e11) != e21
| spl0_257 ),
inference(component_clause,[status(thm)],[f1318]) ).
fof(f1322,plain,
( spl0_258
<=> h2(e12) = e21 ),
introduced(split_symbol_definition) ).
fof(f1324,plain,
( h2(e12) != e21
| spl0_258 ),
inference(component_clause,[status(thm)],[f1322]) ).
fof(f1325,plain,
( ~ spl0_178
| ~ spl0_258 ),
inference(split_clause,[status(thm)],[f341,f1044,f1322]) ).
fof(f1346,plain,
( spl0_264
<=> h3(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1348,plain,
( h3(e10) != e20
| spl0_264 ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1349,plain,
( ~ spl0_200
| ~ spl0_264 ),
inference(split_clause,[status(thm)],[f349,f1114,f1346]) ).
fof(f1366,plain,
( spl0_269
<=> h3(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1367,plain,
( h3(e11) = e21
| ~ spl0_269 ),
inference(component_clause,[status(thm)],[f1366]) ).
fof(f1368,plain,
( h3(e11) != e21
| spl0_269 ),
inference(component_clause,[status(thm)],[f1366]) ).
fof(f1369,plain,
( ~ spl0_201
| ~ spl0_269 ),
inference(split_clause,[status(thm)],[f355,f1117,f1366]) ).
fof(f1386,plain,
( spl0_274
<=> h3(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1387,plain,
( h3(e12) = e22
| ~ spl0_274 ),
inference(component_clause,[status(thm)],[f1386]) ).
fof(f1388,plain,
( h3(e12) != e22
| spl0_274 ),
inference(component_clause,[status(thm)],[f1386]) ).
fof(f1389,plain,
( ~ spl0_202
| ~ spl0_274 ),
inference(split_clause,[status(thm)],[f361,f1120,f1386]) ).
fof(f1394,plain,
( spl0_276
<=> h4(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1395,plain,
( h4(e10) = e20
| ~ spl0_276 ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1396,plain,
( h4(e10) != e20
| spl0_276 ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1397,plain,
( ~ spl0_223
| ~ spl0_276 ),
inference(split_clause,[status(thm)],[f364,f1187,f1394]) ).
fof(f1410,plain,
( spl0_280
<=> h4(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f1411,plain,
( h4(e10) = e21
| ~ spl0_280 ),
inference(component_clause,[status(thm)],[f1410]) ).
fof(f1412,plain,
( h4(e10) != e21
| spl0_280 ),
inference(component_clause,[status(thm)],[f1410]) ).
fof(f1422,plain,
( spl0_283
<=> h4(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1424,plain,
( h4(e13) != e21
| spl0_283 ),
inference(component_clause,[status(thm)],[f1422]) ).
fof(f1425,plain,
( ~ spl0_224
| ~ spl0_283 ),
inference(split_clause,[status(thm)],[f372,f1190,f1422]) ).
fof(f1426,plain,
( spl0_284
<=> h4(e10) = e22 ),
introduced(split_symbol_definition) ).
fof(f1428,plain,
( h4(e10) != e22
| spl0_284 ),
inference(component_clause,[status(thm)],[f1426]) ).
fof(f1430,plain,
( spl0_285
<=> h4(e11) = e22 ),
introduced(split_symbol_definition) ).
fof(f1432,plain,
( h4(e11) != e22
| spl0_285 ),
inference(component_clause,[status(thm)],[f1430]) ).
fof(f1433,plain,
( ~ spl0_225
| ~ spl0_285 ),
inference(split_clause,[status(thm)],[f375,f1193,f1430]) ).
fof(f1442,plain,
( spl0_288
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1445,plain,
( spl0_289
<=> op1(e10,op1(e11,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1446,plain,
( op1(e10,op1(e11,e10)) = e10
| ~ spl0_289 ),
inference(component_clause,[status(thm)],[f1445]) ).
fof(f1448,plain,
( ~ spl0_230
| spl0_288
| spl0_289 ),
inference(split_clause,[status(thm)],[f381,f1212,f1442,f1445]) ).
fof(f1449,plain,
( spl0_290
<=> op1(e11,op1(e11,e11)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1450,plain,
( op1(e11,op1(e11,e11)) = e11
| ~ spl0_290 ),
inference(component_clause,[status(thm)],[f1449]) ).
fof(f1452,plain,
( ~ spl0_230
| spl0_288
| spl0_290 ),
inference(split_clause,[status(thm)],[f382,f1212,f1442,f1449]) ).
fof(f1453,plain,
( spl0_291
<=> op1(e12,op1(e11,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1454,plain,
( op1(e12,op1(e11,e12)) = e12
| ~ spl0_291 ),
inference(component_clause,[status(thm)],[f1453]) ).
fof(f1456,plain,
( ~ spl0_230
| spl0_288
| spl0_291 ),
inference(split_clause,[status(thm)],[f383,f1212,f1442,f1453]) ).
fof(f1461,plain,
( spl0_293
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1464,plain,
( spl0_294
<=> op2(e20,op2(e21,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1465,plain,
( op2(e20,op2(e21,e20)) = e20
| ~ spl0_294 ),
inference(component_clause,[status(thm)],[f1464]) ).
fof(f1467,plain,
( ~ spl0_235
| spl0_293
| spl0_294 ),
inference(split_clause,[status(thm)],[f388,f1231,f1461,f1464]) ).
fof(f1468,plain,
( spl0_295
<=> op2(e21,op2(e21,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1469,plain,
( op2(e21,op2(e21,e21)) = e21
| ~ spl0_295 ),
inference(component_clause,[status(thm)],[f1468]) ).
fof(f1471,plain,
( ~ spl0_235
| spl0_293
| spl0_295 ),
inference(split_clause,[status(thm)],[f389,f1231,f1461,f1468]) ).
fof(f1480,plain,
( spl0_298
<=> op1(e10,op1(e10,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1481,plain,
( op1(e10,op1(e10,e10)) = e10
| ~ spl0_298 ),
inference(component_clause,[status(thm)],[f1480]) ).
fof(f1483,plain,
( ~ spl0_288
| spl0_298 ),
inference(split_clause,[status(thm)],[f393,f1442,f1480]) ).
fof(f1484,plain,
( spl0_299
<=> op1(e11,op1(e10,e11)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1485,plain,
( op1(e11,op1(e10,e11)) = e11
| ~ spl0_299 ),
inference(component_clause,[status(thm)],[f1484]) ).
fof(f1487,plain,
( ~ spl0_288
| spl0_299 ),
inference(split_clause,[status(thm)],[f394,f1442,f1484]) ).
fof(f1488,plain,
( spl0_300
<=> op1(e12,op1(e10,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1489,plain,
( op1(e12,op1(e10,e12)) = e12
| ~ spl0_300 ),
inference(component_clause,[status(thm)],[f1488]) ).
fof(f1491,plain,
( ~ spl0_288
| spl0_300 ),
inference(split_clause,[status(thm)],[f395,f1442,f1488]) ).
fof(f1492,plain,
( spl0_301
<=> op1(e13,op1(e10,e13)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1493,plain,
( op1(e13,op1(e10,e13)) = e13
| ~ spl0_301 ),
inference(component_clause,[status(thm)],[f1492]) ).
fof(f1495,plain,
( ~ spl0_288
| spl0_301 ),
inference(split_clause,[status(thm)],[f396,f1442,f1492]) ).
fof(f1496,plain,
( spl0_302
<=> op2(e20,op2(e20,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1497,plain,
( op2(e20,op2(e20,e20)) = e20
| ~ spl0_302 ),
inference(component_clause,[status(thm)],[f1496]) ).
fof(f1499,plain,
( ~ spl0_293
| spl0_302 ),
inference(split_clause,[status(thm)],[f398,f1461,f1496]) ).
fof(f1500,plain,
( spl0_303
<=> op2(e21,op2(e20,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1501,plain,
( op2(e21,op2(e20,e21)) = e21
| ~ spl0_303 ),
inference(component_clause,[status(thm)],[f1500]) ).
fof(f1503,plain,
( ~ spl0_293
| spl0_303 ),
inference(split_clause,[status(thm)],[f399,f1461,f1500]) ).
fof(f1504,plain,
( spl0_304
<=> op2(e22,op2(e20,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1505,plain,
( op2(e22,op2(e20,e22)) = e22
| ~ spl0_304 ),
inference(component_clause,[status(thm)],[f1504]) ).
fof(f1507,plain,
( ~ spl0_293
| spl0_304 ),
inference(split_clause,[status(thm)],[f400,f1461,f1504]) ).
fof(f1508,plain,
( spl0_305
<=> op2(e23,op2(e20,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1509,plain,
( op2(e23,op2(e20,e23)) = e23
| ~ spl0_305 ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1511,plain,
( ~ spl0_293
| spl0_305 ),
inference(split_clause,[status(thm)],[f401,f1461,f1508]) ).
fof(f1515,plain,
( op2(e22,e23) != e23
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f847,f187]) ).
fof(f1525,plain,
( op2(e21,e20) != e23
| ~ spl0_95 ),
inference(backward_demodulation,[status(thm)],[f743,f196]) ).
fof(f1536,plain,
( op2(e22,e21) != e23
| ~ spl0_119 ),
inference(backward_demodulation,[status(thm)],[f821,f175]) ).
fof(f1542,plain,
( e23 = e22
| ~ spl0_127
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f847,f844]) ).
fof(f1543,plain,
( $false
| ~ spl0_127
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f1542,f223]) ).
fof(f1544,plain,
( ~ spl0_127
| ~ spl0_126 ),
inference(contradiction_clause,[status(thm)],[f1543]) ).
fof(f1551,plain,
( e23 = e22
| ~ spl0_111
| ~ spl0_110 ),
inference(forward_demodulation,[status(thm)],[f795,f792]) ).
fof(f1552,plain,
( $false
| ~ spl0_111
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f1551,f223]) ).
fof(f1553,plain,
( ~ spl0_111
| ~ spl0_110 ),
inference(contradiction_clause,[status(thm)],[f1552]) ).
fof(f1555,plain,
( e23 != op2(e22,e23)
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f691,f183]) ).
fof(f1563,plain,
( e23 = e22
| ~ spl0_123
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f834,f831]) ).
fof(f1564,plain,
( $false
| ~ spl0_123
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f1563,f223]) ).
fof(f1565,plain,
( ~ spl0_123
| ~ spl0_122 ),
inference(contradiction_clause,[status(thm)],[f1564]) ).
fof(f1568,plain,
( e23 = e22
| ~ spl0_119
| ~ spl0_118 ),
inference(forward_demodulation,[status(thm)],[f821,f818]) ).
fof(f1569,plain,
( $false
| ~ spl0_119
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f1568,f223]) ).
fof(f1570,plain,
( ~ spl0_119
| ~ spl0_118 ),
inference(contradiction_clause,[status(thm)],[f1569]) ).
fof(f1575,plain,
( e21 = e20
| ~ spl0_125
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f841,f838]) ).
fof(f1576,plain,
( $false
| ~ spl0_125
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f1575,f218]) ).
fof(f1577,plain,
( ~ spl0_125
| ~ spl0_124 ),
inference(contradiction_clause,[status(thm)],[f1576]) ).
fof(f1581,plain,
( e21 = e20
| ~ spl0_93
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f737,f734]) ).
fof(f1582,plain,
( $false
| ~ spl0_93
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f1581,f218]) ).
fof(f1583,plain,
( ~ spl0_93
| ~ spl0_92 ),
inference(contradiction_clause,[status(thm)],[f1582]) ).
fof(f1584,plain,
( e21 = e20
| ~ spl0_77
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f685,f682]) ).
fof(f1585,plain,
( $false
| ~ spl0_77
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f1584,f218]) ).
fof(f1586,plain,
( ~ spl0_77
| ~ spl0_76 ),
inference(contradiction_clause,[status(thm)],[f1585]) ).
fof(f1587,plain,
( h1(e10) != op2(h1(e12),h1(e12))
| spl0_148 ),
inference(backward_demodulation,[status(thm)],[f252,f952]) ).
fof(f1588,plain,
( h2(e10) != op2(h2(e12),h2(e12))
| spl0_171 ),
inference(backward_demodulation,[status(thm)],[f252,f1025]) ).
fof(f1592,plain,
( h3(e10) != op2(h3(e12),h3(e12))
| spl0_194 ),
inference(backward_demodulation,[status(thm)],[f252,f1098]) ).
fof(f1593,plain,
( h4(e10) != op2(h4(e12),h4(e12))
| spl0_217 ),
inference(backward_demodulation,[status(thm)],[f252,f1171]) ).
fof(f1595,plain,
op1(e11,e12) != e10,
inference(backward_demodulation,[status(thm)],[f252,f131]) ).
fof(f1596,plain,
op1(e10,e12) != e10,
inference(backward_demodulation,[status(thm)],[f252,f129]) ).
fof(f1597,plain,
e11 = op1(e12,e10),
inference(forward_demodulation,[status(thm)],[f252,f253]) ).
fof(f1598,plain,
( h1(e11) != op2(h1(e12),h1(e10))
| spl0_146 ),
inference(backward_demodulation,[status(thm)],[f1597,f946]) ).
fof(f1599,plain,
( h2(e11) != op2(h2(e12),h2(e10))
| spl0_169 ),
inference(backward_demodulation,[status(thm)],[f1597,f1019]) ).
fof(f1600,plain,
e11 != op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f1597,f154]) ).
fof(f1601,plain,
e11 != op1(e12,e11),
inference(backward_demodulation,[status(thm)],[f1597,f152]) ).
fof(f1602,plain,
( h3(e11) != op2(h3(e12),h3(e10))
| spl0_192 ),
inference(backward_demodulation,[status(thm)],[f1597,f1092]) ).
fof(f1603,plain,
( h4(e11) != op2(h4(e12),h4(e10))
| spl0_215 ),
inference(backward_demodulation,[status(thm)],[f1597,f1165]) ).
fof(f1607,plain,
e13 = op1(op1(e12,e10),op1(e12,e12)),
inference(forward_demodulation,[status(thm)],[f252,f254]) ).
fof(f1608,plain,
e13 = op1(e11,op1(e12,e12)),
inference(forward_demodulation,[status(thm)],[f1597,f1607]) ).
fof(f1609,plain,
e13 = op1(e11,e10),
inference(forward_demodulation,[status(thm)],[f252,f1608]) ).
fof(f1610,plain,
( h1(e13) != op2(h1(e11),h1(e10))
| spl0_142 ),
inference(backward_demodulation,[status(thm)],[f1609,f934]) ).
fof(f1611,plain,
( h2(e13) != op2(h2(e11),h2(e10))
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f1609,f1007]) ).
fof(f1612,plain,
( h3(e13) != op2(h3(e11),h3(e10))
| spl0_188 ),
inference(backward_demodulation,[status(thm)],[f1609,f1080]) ).
fof(f1613,plain,
( h4(e13) != op2(h4(e11),h4(e10))
| spl0_211 ),
inference(backward_demodulation,[status(thm)],[f1609,f1153]) ).
fof(f1614,plain,
e13 != op1(e11,e13),
inference(backward_demodulation,[status(thm)],[f1609,f148]) ).
fof(f1615,plain,
e13 != op1(e11,e12),
inference(backward_demodulation,[status(thm)],[f1609,f147]) ).
fof(f1616,plain,
e13 != op1(e11,e11),
inference(backward_demodulation,[status(thm)],[f1609,f146]) ).
fof(f1617,plain,
e13 != op1(e13,e10),
inference(backward_demodulation,[status(thm)],[f1609,f120]) ).
fof(f1618,plain,
op1(e10,e10) != e13,
inference(backward_demodulation,[status(thm)],[f1609,f116]) ).
fof(f1621,plain,
op2(e21,e22) != e20,
inference(backward_demodulation,[status(thm)],[f255,f179]) ).
fof(f1622,plain,
op2(e20,e22) != e20,
inference(backward_demodulation,[status(thm)],[f255,f177]) ).
fof(f1623,plain,
e21 = op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f255,f256]) ).
fof(f1626,plain,
op2(e20,e20) != e21,
inference(backward_demodulation,[status(thm)],[f1623,f165]) ).
fof(f1627,plain,
e23 = op2(op2(e22,e20),op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f255,f257]) ).
fof(f1628,plain,
e23 = op2(e21,op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f1623,f1627]) ).
fof(f1629,plain,
e23 = op2(e21,e20),
inference(forward_demodulation,[status(thm)],[f255,f1628]) ).
fof(f1631,plain,
e23 != op2(e21,e21),
inference(backward_demodulation,[status(thm)],[f1629,f194]) ).
fof(f1632,plain,
op2(e20,e20) != e23,
inference(backward_demodulation,[status(thm)],[f1629,f164]) ).
fof(f1634,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e20)
| spl0_144 ),
inference(backward_demodulation,[status(thm)],[f258,f940]) ).
fof(f1637,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e20)
| spl0_152 ),
inference(backward_demodulation,[status(thm)],[f258,f964]) ).
fof(f1639,plain,
h1(e10) != op2(e20,e21),
inference(backward_demodulation,[status(thm)],[f259,f188]) ).
fof(f1640,plain,
h1(e11) = op2(e20,h1(e10)),
inference(forward_demodulation,[status(thm)],[f259,f260]) ).
fof(f1641,plain,
h1(e13) = op2(op2(e20,h1(e10)),op2(e20,e20)),
inference(forward_demodulation,[status(thm)],[f259,f261]) ).
fof(f1642,plain,
h1(e13) = op2(h1(e11),op2(e20,e20)),
inference(forward_demodulation,[status(thm)],[f1640,f1641]) ).
fof(f1643,plain,
h1(e13) = op2(h1(e11),h1(e10)),
inference(forward_demodulation,[status(thm)],[f259,f1642]) ).
fof(f1645,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e21)
| spl0_167 ),
inference(backward_demodulation,[status(thm)],[f262,f1013]) ).
fof(f1646,plain,
( h2(op1(e12,e11)) != op2(e21,h2(e11))
| spl0_170 ),
inference(backward_demodulation,[status(thm)],[f262,f1022]) ).
fof(f1652,plain,
h2(e11) = op2(e21,h2(e10)),
inference(forward_demodulation,[status(thm)],[f263,f264]) ).
fof(f1653,plain,
h2(e13) = op2(op2(e21,h2(e10)),op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f263,f265]) ).
fof(f1654,plain,
h2(e13) = op2(h2(e11),op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f1652,f1653]) ).
fof(f1655,plain,
h2(e13) = op2(h2(e11),h2(e10)),
inference(forward_demodulation,[status(thm)],[f263,f1654]) ).
fof(f1656,plain,
( $false
| spl0_274 ),
inference(forward_subsumption_resolution,[status(thm)],[f266,f1388]) ).
fof(f1657,plain,
spl0_274,
inference(contradiction_clause,[status(thm)],[f1656]) ).
fof(f1658,plain,
h3(e10) = e20,
inference(forward_demodulation,[status(thm)],[f255,f267]) ).
fof(f1663,plain,
( h3(op1(e10,e11)) != op2(e20,h3(e11))
| spl0_185 ),
inference(backward_demodulation,[status(thm)],[f1658,f1071]) ).
fof(f1667,plain,
h3(e11) = op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f255,f268]) ).
fof(f1668,plain,
h3(e11) = e21,
inference(forward_demodulation,[status(thm)],[f1623,f1667]) ).
fof(f1669,plain,
( $false
| spl0_269 ),
inference(forward_subsumption_resolution,[status(thm)],[f1668,f1368]) ).
fof(f1670,plain,
spl0_269,
inference(contradiction_clause,[status(thm)],[f1669]) ).
fof(f1671,plain,
h3(e13) = op2(op2(e22,e20),op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f255,f269]) ).
fof(f1672,plain,
h3(e13) = op2(e21,op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f1623,f1671]) ).
fof(f1673,plain,
h3(e13) = op2(e21,e20),
inference(forward_demodulation,[status(thm)],[f255,f1672]) ).
fof(f1674,plain,
h3(e13) = e23,
inference(forward_demodulation,[status(thm)],[f1629,f1673]) ).
fof(f1680,plain,
( h3(op1(e13,e12)) != op2(e23,h3(e12))
| spl0_198 ),
inference(backward_demodulation,[status(thm)],[f1674,f1110]) ).
fof(f1686,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| spl0_209 ),
inference(backward_demodulation,[status(thm)],[f270,f1147]) ).
fof(f1687,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| spl0_213 ),
inference(backward_demodulation,[status(thm)],[f270,f1159]) ).
fof(f1688,plain,
( h4(op1(e12,e11)) != op2(e23,h4(e11))
| spl0_216 ),
inference(backward_demodulation,[status(thm)],[f270,f1168]) ).
fof(f1689,plain,
( h4(op1(e12,e13)) != op2(e23,h4(e13))
| spl0_218 ),
inference(backward_demodulation,[status(thm)],[f270,f1174]) ).
fof(f1690,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e23)
| spl0_221 ),
inference(backward_demodulation,[status(thm)],[f270,f1183]) ).
fof(f1692,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| ~ spl0_274
| spl0_190 ),
inference(backward_demodulation,[status(thm)],[f1387,f1086]) ).
fof(f1698,plain,
( e21 = e20
| ~ spl0_117
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f815,f812]) ).
fof(f1699,plain,
( $false
| ~ spl0_117
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[status(thm)],[f1698,f218]) ).
fof(f1700,plain,
( ~ spl0_117
| ~ spl0_116 ),
inference(contradiction_clause,[status(thm)],[f1699]) ).
fof(f1704,plain,
( e20 = e23
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f255,f782]) ).
fof(f1705,plain,
( $false
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f1704,f220]) ).
fof(f1706,plain,
~ spl0_107,
inference(contradiction_clause,[status(thm)],[f1705]) ).
fof(f1711,plain,
( e21 = e23
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f1623,f756]) ).
fof(f1712,plain,
( $false
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f1711,f222]) ).
fof(f1713,plain,
~ spl0_99,
inference(contradiction_clause,[status(thm)],[f1712]) ).
fof(f1715,plain,
( e20 = e22
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f255,f779]) ).
fof(f1716,plain,
( $false
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f1715,f219]) ).
fof(f1717,plain,
~ spl0_106,
inference(contradiction_clause,[status(thm)],[f1716]) ).
fof(f1719,plain,
( e23 = e22
| ~ spl0_91
| ~ spl0_90 ),
inference(forward_demodulation,[status(thm)],[f730,f727]) ).
fof(f1720,plain,
( $false
| ~ spl0_91
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f1719,f223]) ).
fof(f1721,plain,
( ~ spl0_91
| ~ spl0_90 ),
inference(contradiction_clause,[status(thm)],[f1720]) ).
fof(f1725,plain,
( e23 = e22
| ~ spl0_75
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f678,f675]) ).
fof(f1726,plain,
( $false
| ~ spl0_75
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f1725,f223]) ).
fof(f1727,plain,
( ~ spl0_75
| ~ spl0_74 ),
inference(contradiction_clause,[status(thm)],[f1726]) ).
fof(f1728,plain,
( e23 = e22
| ~ spl0_103
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f769,f766]) ).
fof(f1729,plain,
( $false
| ~ spl0_103
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f1728,f223]) ).
fof(f1730,plain,
( ~ spl0_103
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f1729]) ).
fof(f1732,plain,
( e21 = e22
| ~ spl0_98 ),
inference(forward_demodulation,[status(thm)],[f1623,f753]) ).
fof(f1733,plain,
( $false
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f1732,f221]) ).
fof(f1734,plain,
~ spl0_98,
inference(contradiction_clause,[status(thm)],[f1733]) ).
fof(f1738,plain,
( e23 != e23
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f1629,f1525]) ).
fof(f1739,plain,
( $false
| ~ spl0_95 ),
inference(trivial_equality_resolution,[status(esa)],[f1738]) ).
fof(f1740,plain,
~ spl0_95,
inference(contradiction_clause,[status(thm)],[f1739]) ).
fof(f1743,plain,
( e20 = e21
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f255,f776]) ).
fof(f1744,plain,
( $false
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f1743,f218]) ).
fof(f1745,plain,
~ spl0_105,
inference(contradiction_clause,[status(thm)],[f1744]) ).
fof(f1747,plain,
( e23 = e21
| ~ spl0_103
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f769,f763]) ).
fof(f1748,plain,
( $false
| ~ spl0_103
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f1747,f222]) ).
fof(f1749,plain,
( ~ spl0_103
| ~ spl0_101 ),
inference(contradiction_clause,[status(thm)],[f1748]) ).
fof(f1759,plain,
( e21 = e20
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f1623,f747]) ).
fof(f1760,plain,
( $false
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f1759,f218]) ).
fof(f1761,plain,
~ spl0_96,
inference(contradiction_clause,[status(thm)],[f1760]) ).
fof(f1763,plain,
( h2(e10) = e23
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f263,f717]) ).
fof(f1766,plain,
( e23 = op2(e21,e21)
| ~ spl0_87 ),
inference(backward_demodulation,[status(thm)],[f1763,f263]) ).
fof(f1773,plain,
( e20 != e20
| spl0_264 ),
inference(forward_demodulation,[status(thm)],[f1658,f1348]) ).
fof(f1774,plain,
( $false
| spl0_264 ),
inference(trivial_equality_resolution,[status(esa)],[f1773]) ).
fof(f1775,plain,
spl0_264,
inference(contradiction_clause,[status(thm)],[f1774]) ).
fof(f1776,plain,
h4(e11) = op2(e23,h4(e10)),
inference(forward_demodulation,[status(thm)],[f271,f272]) ).
fof(f1777,plain,
h4(e13) = op2(op2(e23,h4(e10)),op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f271,f273]) ).
fof(f1778,plain,
h4(e13) = op2(h4(e11),op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f1776,f1777]) ).
fof(f1779,plain,
h4(e13) = op2(h4(e11),h4(e10)),
inference(forward_demodulation,[status(thm)],[f271,f1778]) ).
fof(f1780,plain,
op2(e22,e23) != h4(e10),
inference(forward_demodulation,[status(thm)],[f271,f187]) ).
fof(f1786,plain,
op2(e20,e23) != h4(e10),
inference(forward_demodulation,[status(thm)],[f271,f184]) ).
fof(f1790,plain,
e20 != op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f255,f181]) ).
fof(f1791,plain,
op2(e23,e21) != h4(e10),
inference(forward_demodulation,[status(thm)],[f271,f210]) ).
fof(f1795,plain,
e21 != op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f1623,f169]) ).
fof(f1796,plain,
e23 != op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f1629,f168]) ).
fof(f1801,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| ~ spl0_269
| spl0_185 ),
inference(backward_demodulation,[status(thm)],[f1367,f1663]) ).
fof(f1802,plain,
( h3(op1(e10,e11)) != e23
| ~ spl0_71
| ~ spl0_269
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f665,f1801]) ).
fof(f1805,plain,
( h3(op1(e11,e11)) != op2(h3(e11),e21)
| ~ spl0_269
| spl0_189 ),
inference(backward_demodulation,[status(thm)],[f1367,f1083]) ).
fof(f1806,plain,
( h3(op1(e11,e11)) != op2(e21,e21)
| ~ spl0_269
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f1367,f1805]) ).
fof(f1809,plain,
( e22 != op2(e23,e21)
| ~ spl0_86 ),
inference(backward_demodulation,[status(thm)],[f714,f174]) ).
fof(f1812,plain,
( e23 = e22
| ~ spl0_71
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f665,f662]) ).
fof(f1813,plain,
( $false
| ~ spl0_71
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f1812,f223]) ).
fof(f1814,plain,
( ~ spl0_71
| ~ spl0_70 ),
inference(contradiction_clause,[status(thm)],[f1813]) ).
fof(f1815,plain,
( e23 = e22
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f1629,f701]) ).
fof(f1816,plain,
( $false
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f1815,f223]) ).
fof(f1817,plain,
~ spl0_82,
inference(contradiction_clause,[status(thm)],[f1816]) ).
fof(f1821,plain,
( e23 = e21
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f1629,f698]) ).
fof(f1822,plain,
( $false
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[status(thm)],[f1821,f222]) ).
fof(f1823,plain,
~ spl0_81,
inference(contradiction_clause,[status(thm)],[f1822]) ).
fof(f1825,plain,
( e21 = e20
| ~ spl0_85
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f711,f708]) ).
fof(f1826,plain,
( $false
| ~ spl0_85
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f1825,f218]) ).
fof(f1827,plain,
( ~ spl0_85
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f1826]) ).
fof(f1828,plain,
( e21 = e20
| ~ spl0_69
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f659,f656]) ).
fof(f1829,plain,
( $false
| ~ spl0_69
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1828,f218]) ).
fof(f1830,plain,
( ~ spl0_69
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f1829]) ).
fof(f1831,plain,
( e23 = e20
| ~ spl0_80 ),
inference(forward_demodulation,[status(thm)],[f1629,f695]) ).
fof(f1832,plain,
( $false
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[status(thm)],[f1831,f220]) ).
fof(f1833,plain,
~ spl0_80,
inference(contradiction_clause,[status(thm)],[f1832]) ).
fof(f1836,plain,
( h1(e10) = e23
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f259,f652]) ).
fof(f1850,plain,
( ~ spl0_111
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f1555,f794,f690]) ).
fof(f1851,plain,
( h4(e10) = e22
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f271,f844]) ).
fof(f1852,plain,
( $false
| spl0_284
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f1851,f1428]) ).
fof(f1853,plain,
( spl0_284
| ~ spl0_126 ),
inference(contradiction_clause,[status(thm)],[f1852]) ).
fof(f1856,plain,
( h4(e10) = e23
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f271,f847]) ).
fof(f1857,plain,
( e20 = e23
| ~ spl0_100
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f760,f769]) ).
fof(f1858,plain,
( $false
| ~ spl0_100
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f1857,f220]) ).
fof(f1859,plain,
( ~ spl0_100
| ~ spl0_103 ),
inference(contradiction_clause,[status(thm)],[f1858]) ).
fof(f1862,plain,
( h4(e10) = e20
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f271,f838]) ).
fof(f1863,plain,
( $false
| spl0_276
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f1862,f1396]) ).
fof(f1864,plain,
( spl0_276
| ~ spl0_124 ),
inference(contradiction_clause,[status(thm)],[f1863]) ).
fof(f1867,plain,
( h4(e10) = e21
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f271,f841]) ).
fof(f1868,plain,
( $false
| spl0_280
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f1867,f1412]) ).
fof(f1869,plain,
( spl0_280
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f1868]) ).
fof(f1872,plain,
( ~ spl0_111
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f1515,f794,f846]) ).
fof(f1874,plain,
( $false
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f808,f1796]) ).
fof(f1875,plain,
~ spl0_115,
inference(contradiction_clause,[status(thm)],[f1874]) ).
fof(f1876,plain,
( $false
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[status(thm)],[f825,f1790]) ).
fof(f1877,plain,
~ spl0_120,
inference(contradiction_clause,[status(thm)],[f1876]) ).
fof(f1878,plain,
( ~ spl0_103
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f1536,f768,f820]) ).
fof(f1883,plain,
( e22 = e20
| ~ spl0_66
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f649,f643]) ).
fof(f1884,plain,
( $false
| ~ spl0_66
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f1883,f219]) ).
fof(f1885,plain,
( ~ spl0_66
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f1884]) ).
fof(f1913,plain,
( op1(e13,e11) != e13
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f594,f161]) ).
fof(f1923,plain,
( op1(e12,e11) != e13
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f581,f127]) ).
fof(f1931,plain,
( e13 != op1(e13,e13)
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f594,f163]) ).
fof(f1937,plain,
( e13 = e12
| ~ spl0_47
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f555,f552]) ).
fof(f1938,plain,
( $false
| ~ spl0_47
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1937,f217]) ).
fof(f1939,plain,
( ~ spl0_47
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f1938]) ).
fof(f1946,plain,
( e13 = e12
| ~ spl0_15
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f451,f448]) ).
fof(f1947,plain,
( $false
| ~ spl0_15
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f1946,f217]) ).
fof(f1948,plain,
( ~ spl0_15
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f1947]) ).
fof(f1949,plain,
( e21 != e21
| spl0_258 ),
inference(forward_demodulation,[status(thm)],[f262,f1324]) ).
fof(f1950,plain,
( $false
| spl0_258 ),
inference(trivial_equality_resolution,[status(esa)],[f1949]) ).
fof(f1951,plain,
spl0_258,
inference(contradiction_clause,[status(thm)],[f1950]) ).
fof(f1957,plain,
( h3(e13) != op2(e23,h3(e12))
| ~ spl0_59
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f594,f1680]) ).
fof(f1958,plain,
( e23 != op2(e23,h3(e12))
| ~ spl0_59
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f1674,f1957]) ).
fof(f1959,plain,
( e23 != op2(e23,e22)
| ~ spl0_274
| ~ spl0_59
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f1387,f1958]) ).
fof(f1962,plain,
( e13 = e12
| ~ spl0_59
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f594,f591]) ).
fof(f1963,plain,
( $false
| ~ spl0_59
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f1962,f217]) ).
fof(f1964,plain,
( ~ spl0_59
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f1963]) ).
fof(f1975,plain,
( ~ spl0_123
| ~ spl0_274
| ~ spl0_59
| spl0_198 ),
inference(split_clause,[status(thm)],[f1959,f833,f1386,f593,f1108]) ).
fof(f1981,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f549,f1600]) ).
fof(f1982,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f1981]) ).
fof(f1999,plain,
( e11 = e10
| ~ spl0_29
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f497,f494]) ).
fof(f2000,plain,
( $false
| ~ spl0_29
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f1999,f212]) ).
fof(f2001,plain,
( ~ spl0_29
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f2000]) ).
fof(f2017,plain,
( e10 = e13
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f252,f542]) ).
fof(f2018,plain,
( $false
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f2017,f214]) ).
fof(f2019,plain,
~ spl0_43,
inference(contradiction_clause,[status(thm)],[f2018]) ).
fof(f2036,plain,
( op1(e10,e11) != e13
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f529,f123]) ).
fof(f2037,plain,
( e11 = e13
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f1597,f516]) ).
fof(f2038,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f2037,f216]) ).
fof(f2039,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f2038]) ).
fof(f2041,plain,
( e10 = e12
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f252,f539]) ).
fof(f2042,plain,
( $false
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f2041,f213]) ).
fof(f2043,plain,
~ spl0_42,
inference(contradiction_clause,[status(thm)],[f2042]) ).
fof(f2058,plain,
( e13 = e12
| ~ spl0_39
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f529,f526]) ).
fof(f2059,plain,
( $false
| ~ spl0_39
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f2058,f217]) ).
fof(f2060,plain,
( ~ spl0_39
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f2059]) ).
fof(f2062,plain,
( e11 = e12
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f1597,f513]) ).
fof(f2063,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f2062,f215]) ).
fof(f2064,plain,
~ spl0_34,
inference(contradiction_clause,[status(thm)],[f2063]) ).
fof(f2066,plain,
( e10 = e11
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f252,f536]) ).
fof(f2067,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f2066,f212]) ).
fof(f2068,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f2067]) ).
fof(f2071,plain,
( op1(e10,e12) != e11
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f484,f128]) ).
fof(f2072,plain,
( op1(e11,e11) != e11
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f484,f149]) ).
fof(f2073,plain,
( e11 != op1(e11,e13)
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f484,f151]) ).
fof(f2074,plain,
( ~ spl0_29
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2073,f496,f483]) ).
fof(f2075,plain,
( e11 != op1(e13,e12)
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f484,f132]) ).
fof(f2076,plain,
( ~ spl0_57
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2075,f587,f483]) ).
fof(f2078,plain,
( op1(e10,e11) != e11
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f432,f143]) ).
fof(f2079,plain,
( e11 != op1(e10,e13)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f432,f145]) ).
fof(f2080,plain,
( ~ spl0_13
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f2079,f444,f431]) ).
fof(f2085,plain,
( e10 = e13
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f546,f555]) ).
fof(f2086,plain,
( $false
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f2085,f214]) ).
fof(f2087,plain,
( ~ spl0_44
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f2086]) ).
fof(f2088,plain,
( e11 = e10
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f1597,f507]) ).
fof(f2089,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f2088,f212]) ).
fof(f2090,plain,
~ spl0_32,
inference(contradiction_clause,[status(thm)],[f2089]) ).
fof(f2092,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f477,f1616]) ).
fof(f2093,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f2092]) ).
fof(f2098,plain,
( h4(e13) != op2(h4(e10),h4(e11))
| ~ spl0_7
| spl0_208 ),
inference(backward_demodulation,[status(thm)],[f425,f1144]) ).
fof(f2102,plain,
( e12 != op1(e11,e13)
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f474,f150]) ).
fof(f2113,plain,
( op1(e10,e11) != e12
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f474,f122]) ).
fof(f2114,plain,
( e13 = e12
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f1609,f461]) ).
fof(f2115,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f2114,f217]) ).
fof(f2116,plain,
~ spl0_18,
inference(contradiction_clause,[status(thm)],[f2115]) ).
fof(f2124,plain,
( e10 = e13
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f429,f438]) ).
fof(f2125,plain,
( $false
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f2124,f214]) ).
fof(f2126,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f2125]) ).
fof(f2129,plain,
( ~ spl0_39
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f1923,f528,f580]) ).
fof(f2137,plain,
( $false
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f568,f1617]) ).
fof(f2138,plain,
~ spl0_51,
inference(contradiction_clause,[status(thm)],[f2137]) ).
fof(f2139,plain,
( ~ spl0_63
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1931,f606,f593]) ).
fof(f2141,plain,
( $false
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f1614]) ).
fof(f2142,plain,
~ spl0_31,
inference(contradiction_clause,[status(thm)],[f2141]) ).
fof(f2143,plain,
( e13 = e11
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f1609,f458]) ).
fof(f2144,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f2143,f216]) ).
fof(f2145,plain,
~ spl0_17,
inference(contradiction_clause,[status(thm)],[f2144]) ).
fof(f2147,plain,
( e11 = e10
| ~ spl0_5
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f419,f416]) ).
fof(f2148,plain,
( $false
| ~ spl0_5
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f2147,f212]) ).
fof(f2149,plain,
( ~ spl0_5
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f2148]) ).
fof(f2150,plain,
( e10 = e11
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f468,f471]) ).
fof(f2151,plain,
( $false
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f2150,f212]) ).
fof(f2152,plain,
( ~ spl0_20
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f2151]) ).
fof(f2153,plain,
( ~ spl0_30
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f2102,f499,f473]) ).
fof(f2154,plain,
( ~ spl0_6
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f2113,f421,f473]) ).
fof(f2155,plain,
( e13 = e10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f1609,f455]) ).
fof(f2156,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f2155,f214]) ).
fof(f2157,plain,
~ spl0_16,
inference(contradiction_clause,[status(thm)],[f2156]) ).
fof(f2159,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f412,f1618]) ).
fof(f2160,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f2159]) ).
fof(f2163,plain,
h1(e10) != e21,
inference(forward_demodulation,[status(thm)],[f259,f1626]) ).
fof(f2164,plain,
h1(e10) != e23,
inference(forward_demodulation,[status(thm)],[f259,f1632]) ).
fof(f2168,plain,
( op2(e20,e23) != e20
| ~ spl0_276 ),
inference(backward_demodulation,[status(thm)],[f1395,f1786]) ).
fof(f2173,plain,
( h4(e11) = op2(e23,e20)
| ~ spl0_276 ),
inference(backward_demodulation,[status(thm)],[f1395,f1776]) ).
fof(f2174,plain,
( e20 = op2(e23,e23)
| ~ spl0_276 ),
inference(backward_demodulation,[status(thm)],[f1395,f271]) ).
fof(f2175,plain,
( h4(op1(e10,e10)) != op2(h4(e10),e20)
| ~ spl0_276
| spl0_207 ),
inference(backward_demodulation,[status(thm)],[f1395,f1141]) ).
fof(f2176,plain,
( h4(op1(e10,e10)) != op2(e20,e20)
| ~ spl0_276
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1395,f2175]) ).
fof(f2177,plain,
( h4(op1(e10,e10)) != h1(e10)
| ~ spl0_276
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f259,f2176]) ).
fof(f2179,plain,
( e12 != op1(e10,e12)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f409,f141]) ).
fof(f2180,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f2179,f434,f408]) ).
fof(f2195,plain,
( $false
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f1766,f1631]) ).
fof(f2196,plain,
~ spl0_87,
inference(contradiction_clause,[status(thm)],[f2195]) ).
fof(f2199,plain,
( $false
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f490,f1615]) ).
fof(f2200,plain,
~ spl0_27,
inference(contradiction_clause,[status(thm)],[f2199]) ).
fof(f2211,plain,
( op2(e20,e21) != e23
| ~ spl0_103 ),
inference(backward_demodulation,[status(thm)],[f769,f171]) ).
fof(f2218,plain,
( e20 != e20
| spl0_242 ),
inference(forward_demodulation,[status(thm)],[f258,f1260]) ).
fof(f2219,plain,
( $false
| spl0_242 ),
inference(trivial_equality_resolution,[status(esa)],[f2218]) ).
fof(f2220,plain,
spl0_242,
inference(contradiction_clause,[status(thm)],[f2219]) ).
fof(f2221,plain,
( op2(e23,e23) = e23
| ~ spl0_79
| ~ spl0_305 ),
inference(forward_demodulation,[status(thm)],[f691,f1509]) ).
fof(f2222,plain,
( op2(e22,e22) = e22
| ~ spl0_74
| ~ spl0_304 ),
inference(forward_demodulation,[status(thm)],[f675,f1505]) ).
fof(f2223,plain,
( e20 = e22
| ~ spl0_74
| ~ spl0_304 ),
inference(forward_demodulation,[status(thm)],[f255,f2222]) ).
fof(f2224,plain,
( $false
| ~ spl0_74
| ~ spl0_304 ),
inference(forward_subsumption_resolution,[status(thm)],[f2223,f219]) ).
fof(f2225,plain,
( ~ spl0_74
| ~ spl0_304 ),
inference(contradiction_clause,[status(thm)],[f2224]) ).
fof(f2227,plain,
( op2(e20,h1(e10)) = e20
| ~ spl0_302 ),
inference(forward_demodulation,[status(thm)],[f259,f1497]) ).
fof(f2228,plain,
( h1(e11) = e20
| ~ spl0_302 ),
inference(forward_demodulation,[status(thm)],[f1640,f2227]) ).
fof(f2234,plain,
( e20 != e20
| ~ spl0_302
| spl0_241 ),
inference(forward_demodulation,[status(thm)],[f2228,f1256]) ).
fof(f2235,plain,
( $false
| ~ spl0_302
| spl0_241 ),
inference(trivial_equality_resolution,[status(esa)],[f2234]) ).
fof(f2236,plain,
( ~ spl0_302
| spl0_241 ),
inference(contradiction_clause,[status(thm)],[f2235]) ).
fof(f2238,plain,
( e23 != h4(e10)
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f691,f1786]) ).
fof(f2240,plain,
( h4(e10) = e23
| ~ spl0_79
| ~ spl0_305 ),
inference(forward_demodulation,[status(thm)],[f2221,f271]) ).
fof(f2241,plain,
( $false
| ~ spl0_79
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[status(thm)],[f2240,f2238]) ).
fof(f2242,plain,
( ~ spl0_79
| ~ spl0_305 ),
inference(contradiction_clause,[status(thm)],[f2241]) ).
fof(f2247,plain,
h2(e10) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f263,f198]) ).
fof(f2248,plain,
h2(e10) != op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f263,f174]) ).
fof(f2249,plain,
( e23 != e23
| spl0_228 ),
inference(forward_demodulation,[status(thm)],[f270,f1206]) ).
fof(f2250,plain,
( $false
| spl0_228 ),
inference(trivial_equality_resolution,[status(esa)],[f2249]) ).
fof(f2251,plain,
spl0_228,
inference(contradiction_clause,[status(thm)],[f2250]) ).
fof(f2252,plain,
( op2(e20,e22) = e20
| ~ spl0_114
| ~ spl0_134 ),
inference(backward_demodulation,[status(thm)],[f805,f905]) ).
fof(f2255,plain,
( e22 != op2(e23,e22)
| ~ spl0_114 ),
inference(backward_demodulation,[status(thm)],[f805,f207]) ).
fof(f2263,plain,
( op2(e20,e22) != e21
| ~ spl0_89 ),
inference(backward_demodulation,[status(thm)],[f724,f176]) ).
fof(f2265,plain,
( e21 != op2(e21,e23)
| ~ spl0_89 ),
inference(backward_demodulation,[status(thm)],[f724,f199]) ).
fof(f2267,plain,
( h1(e10) = e20
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f259,f643]) ).
fof(f2268,plain,
( $false
| spl0_240
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f2267,f1252]) ).
fof(f2269,plain,
( spl0_240
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f2268]) ).
fof(f2271,plain,
( $false
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f1836,f2164]) ).
fof(f2272,plain,
~ spl0_67,
inference(contradiction_clause,[status(thm)],[f2271]) ).
fof(f2274,plain,
( h1(e10) = e21
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f259,f646]) ).
fof(f2275,plain,
( $false
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f2274,f2163]) ).
fof(f2276,plain,
~ spl0_65,
inference(contradiction_clause,[status(thm)],[f2275]) ).
fof(f2283,plain,
( op2(e21,h2(e10)) = e21
| ~ spl0_295 ),
inference(forward_demodulation,[status(thm)],[f263,f1469]) ).
fof(f2284,plain,
( op2(e20,e23) = e20
| ~ spl0_294 ),
inference(forward_demodulation,[status(thm)],[f1629,f1465]) ).
fof(f2284_001,plain,
( op2(e20,e23) = e20
| ~ spl0_294 ),
inference(forward_demodulation,[status(thm)],[f1629,f1465]) ).
fof(f2285,plain,
( e23 = e20
| ~ spl0_79
| ~ spl0_294 ),
inference(forward_demodulation,[status(thm)],[f691,f2284]) ).
fof(f2286,plain,
( $false
| ~ spl0_79
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[status(thm)],[f2285,f220]) ).
fof(f2287,plain,
( ~ spl0_79
| ~ spl0_294 ),
inference(contradiction_clause,[status(thm)],[f2286]) ).
fof(f2290,plain,
( op1(e10,e13) = e10
| ~ spl0_289 ),
inference(forward_demodulation,[status(thm)],[f1609,f1446]) ).
fof(f2293,plain,
( op1(e13,e10) = e13
| ~ spl0_289
| ~ spl0_301 ),
inference(backward_demodulation,[status(thm)],[f2290,f1493]) ).
fof(f2294,plain,
( spl0_51
| ~ spl0_289
| ~ spl0_301 ),
inference(split_clause,[status(thm)],[f2293,f567,f1445,f1492]) ).
fof(f2300,plain,
( e10 != op1(e11,e13)
| ~ spl0_289 ),
inference(backward_demodulation,[status(thm)],[f2290,f134]) ).
fof(f2301,plain,
( ~ spl0_28
| ~ spl0_289 ),
inference(split_clause,[status(thm)],[f2300,f493,f1445]) ).
fof(f2304,plain,
( op2(e22,e20) = e22
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f255,f1243]) ).
fof(f2305,plain,
( e21 = e22
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f1623,f2304]) ).
fof(f2306,plain,
( $false
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[status(thm)],[f2305,f221]) ).
fof(f2307,plain,
~ spl0_238,
inference(contradiction_clause,[status(thm)],[f2306]) ).
fof(f2310,plain,
( op1(e12,e10) = e12
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f252,f1224]) ).
fof(f2311,plain,
( e11 = e12
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f1597,f2310]) ).
fof(f2312,plain,
( $false
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[status(thm)],[f2311,f215]) ).
fof(f2313,plain,
~ spl0_233,
inference(contradiction_clause,[status(thm)],[f2312]) ).
fof(f2316,plain,
( op1(e10,e10) = e10
| ~ spl0_48
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f559,f886]) ).
fof(f2323,plain,
( e22 = e20
| ~ spl0_114
| ~ spl0_112 ),
inference(forward_demodulation,[status(thm)],[f805,f799]) ).
fof(f2324,plain,
( $false
| ~ spl0_114
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f2323,f219]) ).
fof(f2325,plain,
( ~ spl0_114
| ~ spl0_112 ),
inference(contradiction_clause,[status(thm)],[f2324]) ).
fof(f2326,plain,
( h1(e10) = e22
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f259,f649]) ).
fof(f2327,plain,
( $false
| spl0_248
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f2326,f1284]) ).
fof(f2328,plain,
( spl0_248
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f2327]) ).
fof(f2330,plain,
( spl0_72
| ~ spl0_114
| ~ spl0_134 ),
inference(split_clause,[status(thm)],[f2252,f668,f804,f904]) ).
fof(f2334,plain,
( h2(e10) = e20
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f263,f708]) ).
fof(f2336,plain,
( e23 = e21
| ~ spl0_123
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f834,f828]) ).
fof(f2337,plain,
( $false
| ~ spl0_123
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f2336,f222]) ).
fof(f2338,plain,
( ~ spl0_123
| ~ spl0_121 ),
inference(contradiction_clause,[status(thm)],[f2337]) ).
fof(f2340,plain,
( e23 != e23
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1674,f1137]) ).
fof(f2341,plain,
( $false
| spl0_206 ),
inference(trivial_equality_resolution,[status(esa)],[f2340]) ).
fof(f2342,plain,
spl0_206,
inference(contradiction_clause,[status(thm)],[f2341]) ).
fof(f2344,plain,
( h4(e10) != op2(e23,h4(e12))
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f270,f1593]) ).
fof(f2345,plain,
( h4(e10) != op2(e23,e23)
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f270,f2344]) ).
fof(f2346,plain,
( h4(e10) != h4(e10)
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f271,f2345]) ).
fof(f2347,plain,
( $false
| spl0_217 ),
inference(trivial_equality_resolution,[status(esa)],[f2346]) ).
fof(f2348,plain,
spl0_217,
inference(contradiction_clause,[status(thm)],[f2347]) ).
fof(f2349,plain,
( h4(e11) != op2(e23,h4(e10))
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f270,f1603]) ).
fof(f2350,plain,
( h4(e11) != h4(e11)
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f1776,f2349]) ).
fof(f2351,plain,
( $false
| spl0_215 ),
inference(trivial_equality_resolution,[status(esa)],[f2350]) ).
fof(f2352,plain,
spl0_215,
inference(contradiction_clause,[status(thm)],[f2351]) ).
fof(f2353,plain,
( h4(e13) != h4(e13)
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f1779,f1613]) ).
fof(f2354,plain,
( $false
| spl0_211 ),
inference(trivial_equality_resolution,[status(esa)],[f2353]) ).
fof(f2355,plain,
spl0_211,
inference(contradiction_clause,[status(thm)],[f2354]) ).
fof(f2368,plain,
( e21 = op2(e23,e23)
| ~ spl0_280 ),
inference(backward_demodulation,[status(thm)],[f1411,f271]) ).
fof(f2372,plain,
( op2(e23,e21) != e21
| ~ spl0_280 ),
inference(backward_demodulation,[status(thm)],[f1411,f1791]) ).
fof(f2373,plain,
( ~ spl0_117
| ~ spl0_280 ),
inference(split_clause,[status(thm)],[f2372,f814,f1410]) ).
fof(f2379,plain,
( $false
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f721,f1621]) ).
fof(f2380,plain,
~ spl0_88,
inference(contradiction_clause,[status(thm)],[f2379]) ).
fof(f2383,plain,
( h1(e11) = op2(e20,e22)
| ~ spl0_248 ),
inference(backward_demodulation,[status(thm)],[f1283,f1640]) ).
fof(f2403,plain,
( e10 != op1(e10,e13)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f403,f142]) ).
fof(f2404,plain,
( ~ spl0_12
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f2403,f441,f402]) ).
fof(f2409,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f1595]) ).
fof(f2410,plain,
~ spl0_24,
inference(contradiction_clause,[status(thm)],[f2409]) ).
fof(f2411,plain,
( h4(e10) != op2(h4(e11),h4(e11))
| ~ spl0_20
| spl0_212 ),
inference(backward_demodulation,[status(thm)],[f468,f1156]) ).
fof(f2414,plain,
( e10 != op1(e13,e11)
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f468,f126]) ).
fof(f2415,plain,
( e10 != op1(e11,e13)
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f468,f150]) ).
fof(f2416,plain,
( ~ spl0_28
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f2415,f493,f467]) ).
fof(f2417,plain,
( op1(e10,e11) != e10
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f468,f122]) ).
fof(f2418,plain,
( ~ spl0_4
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f2417,f415,f467]) ).
fof(f2421,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f2078,f418,f431]) ).
fof(f2427,plain,
( op1(e12,e12) = e12
| ~ spl0_58
| ~ spl0_131 ),
inference(backward_demodulation,[status(thm)],[f591,f894]) ).
fof(f2428,plain,
( spl0_42
| ~ spl0_58
| ~ spl0_131 ),
inference(split_clause,[status(thm)],[f2427,f538,f590,f893]) ).
fof(f2439,plain,
( e20 != op2(h3(e12),h3(e12))
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f1658,f1592]) ).
fof(f2440,plain,
( e20 != op2(e22,h3(e12))
| ~ spl0_274
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f1387,f2439]) ).
fof(f2441,plain,
( e20 != op2(e22,e22)
| ~ spl0_274
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f1387,f2440]) ).
fof(f2442,plain,
( e20 != e20
| ~ spl0_274
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f255,f2441]) ).
fof(f2443,plain,
( $false
| ~ spl0_274
| spl0_194 ),
inference(trivial_equality_resolution,[status(esa)],[f2442]) ).
fof(f2444,plain,
( ~ spl0_274
| spl0_194 ),
inference(contradiction_clause,[status(thm)],[f2443]) ).
fof(f2445,plain,
( e21 != op2(h3(e12),h3(e10))
| ~ spl0_269
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f1367,f1602]) ).
fof(f2446,plain,
( e21 != op2(e22,h3(e10))
| ~ spl0_274
| ~ spl0_269
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f1387,f2445]) ).
fof(f2447,plain,
( e21 != op2(e22,e20)
| ~ spl0_274
| ~ spl0_269
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f1658,f2446]) ).
fof(f2448,plain,
( e21 != e21
| ~ spl0_274
| ~ spl0_269
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f1623,f2447]) ).
fof(f2449,plain,
( $false
| ~ spl0_274
| ~ spl0_269
| spl0_192 ),
inference(trivial_equality_resolution,[status(esa)],[f2448]) ).
fof(f2450,plain,
( ~ spl0_274
| ~ spl0_269
| spl0_192 ),
inference(contradiction_clause,[status(thm)],[f2449]) ).
fof(f2452,plain,
( h3(op1(e11,e12)) != op2(e21,e22)
| ~ spl0_269
| ~ spl0_274
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1367,f1692]) ).
fof(f2453,plain,
( h3(e10) != op2(e21,e21)
| ~ spl0_20
| ~ spl0_269
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f468,f1806]) ).
fof(f2454,plain,
( e20 != op2(e21,e21)
| ~ spl0_20
| ~ spl0_269
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f1658,f2453]) ).
fof(f2455,plain,
( e20 != h2(e10)
| ~ spl0_20
| ~ spl0_269
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f263,f2454]) ).
fof(f2456,plain,
( e23 != op2(h3(e11),h3(e10))
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f1674,f1612]) ).
fof(f2457,plain,
( e23 != op2(e21,h3(e10))
| ~ spl0_269
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f1367,f2456]) ).
fof(f2458,plain,
( e23 != op2(e21,e20)
| ~ spl0_269
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f1658,f2457]) ).
fof(f2459,plain,
( e23 != e23
| ~ spl0_269
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f1629,f2458]) ).
fof(f2460,plain,
( $false
| ~ spl0_269
| spl0_188 ),
inference(trivial_equality_resolution,[status(esa)],[f2459]) ).
fof(f2461,plain,
( ~ spl0_269
| spl0_188 ),
inference(contradiction_clause,[status(thm)],[f2460]) ).
fof(f2468,plain,
( h2(e10) != op2(e21,h2(e12))
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f262,f1588]) ).
fof(f2469,plain,
( h2(e10) != op2(e21,e21)
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f262,f2468]) ).
fof(f2470,plain,
( h2(e10) != h2(e10)
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f263,f2469]) ).
fof(f2471,plain,
( $false
| spl0_171 ),
inference(trivial_equality_resolution,[status(esa)],[f2470]) ).
fof(f2472,plain,
spl0_171,
inference(contradiction_clause,[status(thm)],[f2471]) ).
fof(f2473,plain,
( h2(e11) != op2(e21,h2(e10))
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f262,f1599]) ).
fof(f2474,plain,
( h2(e11) != h2(e11)
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f1652,f2473]) ).
fof(f2475,plain,
( $false
| spl0_169 ),
inference(trivial_equality_resolution,[status(esa)],[f2474]) ).
fof(f2476,plain,
spl0_169,
inference(contradiction_clause,[status(thm)],[f2475]) ).
fof(f2477,plain,
( h2(e10) != op2(h2(e11),h2(e11))
| ~ spl0_20
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f468,f1010]) ).
fof(f2478,plain,
( h2(e13) != h2(e13)
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f1655,f1611]) ).
fof(f2479,plain,
( $false
| spl0_165 ),
inference(trivial_equality_resolution,[status(esa)],[f2478]) ).
fof(f2480,plain,
spl0_165,
inference(contradiction_clause,[status(thm)],[f2479]) ).
fof(f2484,plain,
( e22 != op2(h1(e12),h1(e12))
| ~ spl0_248
| spl0_148 ),
inference(forward_demodulation,[status(thm)],[f1283,f1587]) ).
fof(f2485,plain,
( e22 != op2(e20,h1(e12))
| ~ spl0_248
| spl0_148 ),
inference(forward_demodulation,[status(thm)],[f258,f2484]) ).
fof(f2486,plain,
( e22 != op2(e20,e20)
| ~ spl0_248
| spl0_148 ),
inference(forward_demodulation,[status(thm)],[f258,f2485]) ).
fof(f2487,plain,
( h1(e11) != op2(e20,h1(e10))
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f258,f1598]) ).
fof(f2488,plain,
( h1(e11) != op2(e20,e22)
| ~ spl0_248
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f1283,f2487]) ).
fof(f2489,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| ~ spl0_20
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f468,f937]) ).
fof(f2499,plain,
( op1(e10,e11) = e10
| ~ spl0_231 ),
inference(forward_demodulation,[status(thm)],[f1597,f1216]) ).
fof(f2502,plain,
( h2(e11) = e21
| ~ spl0_295 ),
inference(forward_demodulation,[status(thm)],[f1652,f2283]) ).
fof(f2503,plain,
( $false
| spl0_257
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[status(thm)],[f2502,f1320]) ).
fof(f2504,plain,
( spl0_257
| ~ spl0_295 ),
inference(contradiction_clause,[status(thm)],[f2503]) ).
fof(f2505,plain,
( op1(e11,e10) = e11
| ~ spl0_20
| ~ spl0_290 ),
inference(forward_demodulation,[status(thm)],[f468,f1450]) ).
fof(f2506,plain,
( e13 = e11
| ~ spl0_20
| ~ spl0_290 ),
inference(forward_demodulation,[status(thm)],[f1609,f2505]) ).
fof(f2507,plain,
( $false
| ~ spl0_20
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[status(thm)],[f2506,f216]) ).
fof(f2508,plain,
( ~ spl0_20
| ~ spl0_290 ),
inference(contradiction_clause,[status(thm)],[f2507]) ).
fof(f2510,plain,
( e10 = e12
| ~ spl0_48
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f559,f565]) ).
fof(f2511,plain,
( $false
| ~ spl0_48
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f2510,f213]) ).
fof(f2512,plain,
( ~ spl0_48
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f2511]) ).
fof(f2535,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f1601]) ).
fof(f2536,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f2535]) ).
fof(f2545,plain,
( h4(e12) != op2(e23,h4(e11))
| ~ spl0_38
| spl0_216 ),
inference(backward_demodulation,[status(thm)],[f526,f1688]) ).
fof(f2546,plain,
( e23 != op2(e23,h4(e11))
| ~ spl0_38
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f270,f2545]) ).
fof(f2553,plain,
( op1(e11,e11) != e12
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f526,f125]) ).
fof(f2556,plain,
( ~ spl0_55
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1913,f580,f593]) ).
fof(f2557,plain,
( h4(e13) != op2(e23,h4(e13))
| ~ spl0_47
| spl0_218 ),
inference(backward_demodulation,[status(thm)],[f555,f1689]) ).
fof(f2569,plain,
( op2(e21,e22) = e21
| ~ spl0_118
| ~ spl0_135 ),
inference(backward_demodulation,[status(thm)],[f818,f909]) ).
fof(f2570,plain,
( spl0_89
| ~ spl0_118
| ~ spl0_135 ),
inference(split_clause,[status(thm)],[f2569,f723,f817,f908]) ).
fof(f2572,plain,
( e22 = e21
| ~ spl0_90
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f727,f724]) ).
fof(f2573,plain,
( $false
| ~ spl0_90
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f2572,f221]) ).
fof(f2574,plain,
( ~ spl0_90
| ~ spl0_89 ),
inference(contradiction_clause,[status(thm)],[f2573]) ).
fof(f2575,plain,
( ~ spl0_73
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f2263,f671,f723]) ).
fof(f2576,plain,
( ~ spl0_118
| ~ spl0_86 ),
inference(split_clause,[status(thm)],[f1809,f817,f713]) ).
fof(f2577,plain,
( h2(e10) = e22
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f263,f714]) ).
fof(f2585,plain,
( e23 = e21
| ~ spl0_79
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f691,f685]) ).
fof(f2586,plain,
( $false
| ~ spl0_79
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f2585,f222]) ).
fof(f2587,plain,
( ~ spl0_79
| ~ spl0_77 ),
inference(contradiction_clause,[status(thm)],[f2586]) ).
fof(f2588,plain,
( e22 = e20
| ~ spl0_110
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f792,f786]) ).
fof(f2589,plain,
( $false
| ~ spl0_110
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f2588,f219]) ).
fof(f2590,plain,
( ~ spl0_110
| ~ spl0_108 ),
inference(contradiction_clause,[status(thm)],[f2589]) ).
fof(f2592,plain,
( e22 = e21
| ~ spl0_110
| ~ spl0_109 ),
inference(forward_demodulation,[status(thm)],[f792,f789]) ).
fof(f2593,plain,
( $false
| ~ spl0_110
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f2592,f221]) ).
fof(f2594,plain,
( ~ spl0_110
| ~ spl0_109 ),
inference(contradiction_clause,[status(thm)],[f2593]) ).
fof(f2597,plain,
( $false
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f669,f1622]) ).
fof(f2598,plain,
~ spl0_72,
inference(contradiction_clause,[status(thm)],[f2597]) ).
fof(f2599,plain,
( ~ spl0_93
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f2265,f736,f723]) ).
fof(f2602,plain,
( e12 != op1(e11,e13)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f487,f151]) ).
fof(f2603,plain,
( op1(e10,e12) != e12
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f487,f128]) ).
fof(f2604,plain,
( ~ spl0_10
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f2603,f434,f486]) ).
fof(f2611,plain,
( op1(e10,e12) = e10
| ~ spl0_50
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f565,f886]) ).
fof(f2612,plain,
( $false
| ~ spl0_50
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[status(thm)],[f2611,f1596]) ).
fof(f2613,plain,
( ~ spl0_50
| ~ spl0_129 ),
inference(contradiction_clause,[status(thm)],[f2612]) ).
fof(f2618,plain,
( h4(e12) != op2(h4(e13),h4(e10))
| ~ spl0_50
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f565,f1177]) ).
fof(f2619,plain,
( e23 != op2(h4(e13),h4(e10))
| ~ spl0_50
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f270,f2618]) ).
fof(f2633,plain,
( e12 != op1(e13,e12)
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f565,f159]) ).
fof(f2635,plain,
( e12 != op1(e13,e11)
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f565,f158]) ).
fof(f2647,plain,
( h1(e11) != e20
| ~ spl0_248 ),
inference(backward_demodulation,[status(thm)],[f2383,f1622]) ).
fof(f2652,plain,
( h2(e10) != e20
| ~ spl0_116 ),
inference(backward_demodulation,[status(thm)],[f812,f2248]) ).
fof(f2653,plain,
( op2(e23,e20) != e20
| ~ spl0_116 ),
inference(backward_demodulation,[status(thm)],[f812,f206]) ).
fof(f2654,plain,
( ~ spl0_112
| ~ spl0_116 ),
inference(split_clause,[status(thm)],[f2653,f798,f811]) ).
fof(f2655,plain,
( op2(e21,e20) = e21
| ~ spl0_116
| ~ spl0_135 ),
inference(backward_demodulation,[status(thm)],[f812,f909]) ).
fof(f2656,plain,
( spl0_81
| ~ spl0_116
| ~ spl0_135 ),
inference(split_clause,[status(thm)],[f2655,f697,f811,f908]) ).
fof(f2658,plain,
( e22 = op2(e21,e21)
| ~ spl0_86 ),
inference(backward_demodulation,[status(thm)],[f2577,f263]) ).
fof(f2662,plain,
( op1(e12,e12) = e12
| ~ spl0_10
| ~ spl0_300 ),
inference(backward_demodulation,[status(thm)],[f435,f1489]) ).
fof(f2663,plain,
( spl0_42
| ~ spl0_10
| ~ spl0_300 ),
inference(split_clause,[status(thm)],[f2662,f538,f434,f1488]) ).
fof(f2668,plain,
( e13 = e10
| ~ spl0_59
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f594,f585]) ).
fof(f2669,plain,
( $false
| ~ spl0_59
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f2668,f214]) ).
fof(f2670,plain,
( ~ spl0_59
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f2669]) ).
fof(f2671,plain,
( ~ spl0_30
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f2602,f499,f486]) ).
fof(f2675,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2072,f470,f483]) ).
fof(f2677,plain,
( ~ spl0_52
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f2414,f571,f467]) ).
fof(f2680,plain,
( e13 = e11
| ~ spl0_59
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f594,f588]) ).
fof(f2681,plain,
( $false
| ~ spl0_59
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f2680,f216]) ).
fof(f2682,plain,
( ~ spl0_59
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f2681]) ).
fof(f2686,plain,
( h1(e11) = e23
| ~ spl0_248
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f2383,f678]) ).
fof(f2687,plain,
( $false
| spl0_158
| ~ spl0_248
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f2686,f983]) ).
fof(f2688,plain,
( spl0_158
| ~ spl0_248
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f2687]) ).
fof(f2713,plain,
( spl0_0
| ~ spl0_48
| ~ spl0_129 ),
inference(split_clause,[status(thm)],[f2316,f402,f558,f885]) ).
fof(f2716,plain,
( $false
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[status(thm)],[f802,f1795]) ).
fof(f2717,plain,
~ spl0_113,
inference(contradiction_clause,[status(thm)],[f2716]) ).
fof(f2718,plain,
( ~ spl0_122
| ~ spl0_114 ),
inference(split_clause,[status(thm)],[f2255,f830,f804]) ).
fof(f2719,plain,
( e22 = e21
| ~ spl0_122
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f831,f828]) ).
fof(f2720,plain,
( $false
| ~ spl0_122
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f2719,f221]) ).
fof(f2721,plain,
( ~ spl0_122
| ~ spl0_121 ),
inference(contradiction_clause,[status(thm)],[f2720]) ).
fof(f2723,plain,
( ~ spl0_241
| ~ spl0_248 ),
inference(split_clause,[status(thm)],[f2647,f1254,f1282]) ).
fof(f2727,plain,
( spl0_76
| ~ spl0_294 ),
inference(split_clause,[status(thm)],[f2284,f681,f1464]) ).
fof(f2728,plain,
( e21 = h4(e10)
| ~ spl0_280 ),
inference(forward_demodulation,[status(thm)],[f271,f2368]) ).
fof(f2732,plain,
( e23 = op2(e23,e23)
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f1856,f271]) ).
fof(f2737,plain,
( op1(e11,e11) != e12
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f487,f149]) ).
fof(f2746,plain,
( h4(e11) != op2(h4(e13),h4(e11))
| ~ spl0_53
| spl0_220 ),
inference(backward_demodulation,[status(thm)],[f575,f1180]) ).
fof(f2749,plain,
( h4(e11) != op2(h4(e11),h4(e13))
| ~ spl0_29
| spl0_214 ),
inference(backward_demodulation,[status(thm)],[f497,f1162]) ).
fof(f2772,plain,
( h4(e13) = op2(h4(e11),e23)
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f1856,f1779]) ).
fof(f2782,plain,
( h4(e11) = op2(e23,e23)
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f1856,f1776]) ).
fof(f2803,plain,
( h4(e10) != op2(h4(e13),h4(e13))
| ~ spl0_60
| spl0_222 ),
inference(backward_demodulation,[status(thm)],[f598,f1186]) ).
fof(f2817,plain,
( op1(e11,e12) = e11
| ~ spl0_6
| ~ spl0_299 ),
inference(backward_demodulation,[status(thm)],[f422,f1485]) ).
fof(f2818,plain,
( spl0_25
| ~ spl0_6
| ~ spl0_299 ),
inference(split_clause,[status(thm)],[f2817,f483,f421,f1484]) ).
fof(f2823,plain,
( ~ spl0_58
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2633,f590,f564]) ).
fof(f2840,plain,
( op1(e11,e11) = e11
| ~ spl0_53
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f575,f890]) ).
fof(f2841,plain,
( e10 = e12
| ~ spl0_0
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f403,f409]) ).
fof(f2842,plain,
( $false
| ~ spl0_0
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f2841,f213]) ).
fof(f2843,plain,
( ~ spl0_0
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f2842]) ).
fof(f2846,plain,
( ~ spl0_22
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f2553,f473,f525]) ).
fof(f2847,plain,
( ~ spl0_22
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f2737,f473,f486]) ).
fof(f2849,plain,
( ~ spl0_9
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2071,f431,f483]) ).
fof(f2875,plain,
( e21 = e23
| ~ spl0_127
| ~ spl0_280 ),
inference(forward_demodulation,[status(thm)],[f1856,f2728]) ).
fof(f2876,plain,
( $false
| ~ spl0_127
| ~ spl0_280 ),
inference(forward_subsumption_resolution,[status(thm)],[f2875,f222]) ).
fof(f2877,plain,
( ~ spl0_127
| ~ spl0_280 ),
inference(contradiction_clause,[status(thm)],[f2876]) ).
fof(f2883,plain,
( ~ spl0_7
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f2036,f424,f528]) ).
fof(f2887,plain,
( ~ spl0_54
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2635,f577,f564]) ).
fof(f2907,plain,
( e20 = e22
| ~ spl0_92
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f734,f740]) ).
fof(f2908,plain,
( $false
| ~ spl0_92
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f2907,f219]) ).
fof(f2909,plain,
( ~ spl0_92
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f2908]) ).
fof(f2910,plain,
( e23 = h4(e11)
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f2782,f2732]) ).
fof(f2911,plain,
( e23 = op2(e23,e23)
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f2910,f2782]) ).
fof(f2912,plain,
( h4(e13) = op2(e23,e23)
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f2910,f2772]) ).
fof(f2920,plain,
( h2(e10) != e20
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f734,f2247]) ).
fof(f2951,plain,
( $false
| ~ spl0_92
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f2334,f2920]) ).
fof(f2952,plain,
( ~ spl0_92
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f2951]) ).
fof(f2957,plain,
( e23 = e20
| ~ spl0_127
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f1856,f1395]) ).
fof(f2958,plain,
( $false
| ~ spl0_127
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[status(thm)],[f2957,f220]) ).
fof(f2959,plain,
( ~ spl0_127
| ~ spl0_276 ),
inference(contradiction_clause,[status(thm)],[f2958]) ).
fof(f2969,plain,
( e22 = h2(e10)
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f263,f2658]) ).
fof(f2972,plain,
( op2(e20,e21) != e21
| ~ spl0_77 ),
inference(backward_demodulation,[status(thm)],[f685,f192]) ).
fof(f2990,plain,
( e23 != op2(e23,e22)
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f678,f178]) ).
fof(f2999,plain,
( h2(e12) != op2(e21,h2(e11))
| ~ spl0_38
| spl0_170 ),
inference(backward_demodulation,[status(thm)],[f526,f1646]) ).
fof(f3000,plain,
( e21 != op2(e21,h2(e11))
| ~ spl0_38
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f262,f2999]) ).
fof(f3015,plain,
( h4(e13) = e23
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f2911,f2912]) ).
fof(f3016,plain,
( $false
| spl0_229
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[status(thm)],[f3015,f1210]) ).
fof(f3017,plain,
( spl0_229
| ~ spl0_127 ),
inference(contradiction_clause,[status(thm)],[f3016]) ).
fof(f3031,plain,
( op1(e10,e12) = e10
| ~ spl0_2
| ~ spl0_298 ),
inference(backward_demodulation,[status(thm)],[f409,f1481]) ).
fof(f3031_002,plain,
( op1(e10,e12) = e10
| ~ spl0_2
| ~ spl0_298 ),
inference(backward_demodulation,[status(thm)],[f409,f1481]) ).
fof(f3032,plain,
( e11 = e10
| ~ spl0_9
| ~ spl0_2
| ~ spl0_298 ),
inference(forward_demodulation,[status(thm)],[f432,f3031]) ).
fof(f3033,plain,
( $false
| ~ spl0_9
| ~ spl0_2
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[status(thm)],[f3032,f212]) ).
fof(f3034,plain,
( ~ spl0_9
| ~ spl0_2
| ~ spl0_298 ),
inference(contradiction_clause,[status(thm)],[f3033]) ).
fof(f3060,plain,
( op2(e21,e21) = e21
| ~ spl0_117
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f815,f909]) ).
fof(f3061,plain,
( h2(e10) = e21
| ~ spl0_117
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f263,f3060]) ).
fof(f3062,plain,
( $false
| spl0_256
| ~ spl0_117
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[status(thm)],[f3061,f1316]) ).
fof(f3063,plain,
( spl0_256
| ~ spl0_117
| ~ spl0_135 ),
inference(contradiction_clause,[status(thm)],[f3062]) ).
fof(f3069,plain,
( e23 != e23
| ~ spl0_127
| spl0_227 ),
inference(forward_demodulation,[status(thm)],[f2910,f1202]) ).
fof(f3070,plain,
( $false
| ~ spl0_127
| spl0_227 ),
inference(trivial_equality_resolution,[status(esa)],[f3069]) ).
fof(f3071,plain,
( ~ spl0_127
| spl0_227 ),
inference(contradiction_clause,[status(thm)],[f3070]) ).
fof(f3072,plain,
( ~ spl0_71
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f2211,f664,f768]) ).
fof(f3078,plain,
( spl0_8
| ~ spl0_2
| ~ spl0_298 ),
inference(split_clause,[status(thm)],[f3031,f428,f408,f1480]) ).
fof(f3083,plain,
( ~ spl0_69
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f2972,f658,f684]) ).
fof(f3107,plain,
( e20 != op2(e20,e21)
| ~ spl0_240 ),
inference(backward_demodulation,[status(thm)],[f1251,f1639]) ).
fof(f3109,plain,
( e20 = op2(e20,e20)
| ~ spl0_240 ),
inference(backward_demodulation,[status(thm)],[f1251,f259]) ).
fof(f3110,plain,
( h4(e12) != op2(h4(e11),e23)
| ~ spl0_26
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f487,f1687]) ).
fof(f3111,plain,
( e23 != op2(h4(e11),e23)
| ~ spl0_26
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f270,f3110]) ).
fof(f3170,plain,
( op1(e12,e13) = e12
| ~ spl0_11
| ~ spl0_300 ),
inference(forward_demodulation,[status(thm)],[f438,f1489]) ).
fof(f3171,plain,
( e13 = e12
| ~ spl0_47
| ~ spl0_11
| ~ spl0_300 ),
inference(forward_demodulation,[status(thm)],[f555,f3170]) ).
fof(f3172,plain,
( $false
| ~ spl0_47
| ~ spl0_11
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[status(thm)],[f3171,f217]) ).
fof(f3173,plain,
( ~ spl0_47
| ~ spl0_11
| ~ spl0_300 ),
inference(contradiction_clause,[status(thm)],[f3172]) ).
fof(f3204,plain,
( op2(e21,e22) = e21
| ~ spl0_70
| ~ spl0_303 ),
inference(backward_demodulation,[status(thm)],[f662,f1501]) ).
fof(f3205,plain,
( spl0_89
| ~ spl0_70
| ~ spl0_303 ),
inference(split_clause,[status(thm)],[f3204,f723,f661,f1500]) ).
fof(f3222,plain,
( op1(e11,e13) = e11
| ~ spl0_7
| ~ spl0_299 ),
inference(backward_demodulation,[status(thm)],[f425,f1485]) ).
fof(f3225,plain,
( e23 != e23
| ~ spl0_127
| spl0_226 ),
inference(forward_demodulation,[status(thm)],[f1856,f1198]) ).
fof(f3226,plain,
( $false
| ~ spl0_127
| spl0_226 ),
inference(trivial_equality_resolution,[status(esa)],[f3225]) ).
fof(f3227,plain,
( ~ spl0_127
| spl0_226 ),
inference(contradiction_clause,[status(thm)],[f3226]) ).
fof(f3254,plain,
( e21 = op2(e21,h2(e10))
| ~ spl0_257 ),
inference(forward_demodulation,[status(thm)],[f1319,f1652]) ).
fof(f3261,plain,
( h1(e11) = op2(e20,e22)
| ~ spl0_248 ),
inference(backward_demodulation,[status(thm)],[f1283,f1640]) ).
fof(f3262,plain,
( h1(e11) = e23
| ~ spl0_75
| ~ spl0_248 ),
inference(forward_demodulation,[status(thm)],[f678,f3261]) ).
fof(f3263,plain,
( e22 = op2(e20,e20)
| ~ spl0_248 ),
inference(backward_demodulation,[status(thm)],[f1283,f259]) ).
fof(f3277,plain,
( e20 != op2(e21,e23)
| ~ spl0_76 ),
inference(backward_demodulation,[status(thm)],[f682,f182]) ).
fof(f3282,plain,
( e21 = op2(e21,e20)
| ~ spl0_84
| ~ spl0_257 ),
inference(backward_demodulation,[status(thm)],[f2334,f3254]) ).
fof(f3283,plain,
( spl0_81
| ~ spl0_84
| ~ spl0_257 ),
inference(split_clause,[status(thm)],[f3282,f697,f707,f1318]) ).
fof(f3290,plain,
( e22 = e20
| ~ spl0_84
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f2334,f2969]) ).
fof(f3291,plain,
( $false
| ~ spl0_84
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f3290,f219]) ).
fof(f3292,plain,
( ~ spl0_84
| ~ spl0_86 ),
inference(contradiction_clause,[status(thm)],[f3291]) ).
fof(f3293,plain,
( e20 != e20
| ~ spl0_84
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f2334,f2652]) ).
fof(f3294,plain,
( $false
| ~ spl0_84
| ~ spl0_116 ),
inference(trivial_equality_resolution,[status(esa)],[f3293]) ).
fof(f3295,plain,
( ~ spl0_84
| ~ spl0_116 ),
inference(contradiction_clause,[status(thm)],[f3294]) ).
fof(f3312,plain,
( h2(e10) != e21
| ~ spl0_117 ),
inference(forward_demodulation,[status(thm)],[f815,f2248]) ).
fof(f3313,plain,
( ~ spl0_256
| ~ spl0_117 ),
inference(split_clause,[status(thm)],[f3312,f1314,f814]) ).
fof(f3336,plain,
( h4(e12) != op2(h4(e10),h4(e13))
| ~ spl0_14
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f448,f1150]) ).
fof(f3337,plain,
( e23 != op2(h4(e10),h4(e13))
| ~ spl0_14
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f270,f3336]) ).
fof(f3338,plain,
( ~ spl0_92
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f3277,f733,f681]) ).
fof(f3339,plain,
( h3(e13) != e23
| ~ spl0_7
| ~ spl0_71
| ~ spl0_269
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f425,f1802]) ).
fof(f3340,plain,
( e23 != e23
| ~ spl0_7
| ~ spl0_71
| ~ spl0_269
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f1674,f3339]) ).
fof(f3341,plain,
( $false
| ~ spl0_7
| ~ spl0_71
| ~ spl0_269
| spl0_185 ),
inference(trivial_equality_resolution,[status(esa)],[f3340]) ).
fof(f3342,plain,
( ~ spl0_7
| ~ spl0_71
| ~ spl0_269
| spl0_185 ),
inference(contradiction_clause,[status(thm)],[f3341]) ).
fof(f3351,plain,
( h3(e13) = op2(h3(e10),h3(e11))
| ~ spl0_7
| ~ spl0_185 ),
inference(forward_demodulation,[status(thm)],[f425,f1070]) ).
fof(f3352,plain,
( e23 = op2(h3(e10),h3(e11))
| ~ spl0_7
| ~ spl0_185 ),
inference(forward_demodulation,[status(thm)],[f1674,f3351]) ).
fof(f3353,plain,
( e23 = op2(e20,h3(e11))
| ~ spl0_7
| ~ spl0_185 ),
inference(forward_demodulation,[status(thm)],[f1658,f3352]) ).
fof(f3354,plain,
( e23 = op2(e20,e21)
| ~ spl0_269
| ~ spl0_7
| ~ spl0_185 ),
inference(forward_demodulation,[status(thm)],[f1367,f3353]) ).
fof(f3401,plain,
( h4(e11) = e22
| ~ spl0_114
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f805,f2173]) ).
fof(f3402,plain,
( ~ spl0_76
| ~ spl0_276 ),
inference(split_clause,[status(thm)],[f2168,f681,f1394]) ).
fof(f3416,plain,
( h3(e12) != op2(e21,e22)
| ~ spl0_26
| ~ spl0_269
| ~ spl0_274
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f487,f2452]) ).
fof(f3417,plain,
( e22 != op2(e21,e22)
| ~ spl0_26
| ~ spl0_269
| ~ spl0_274
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1387,f3416]) ).
fof(f3420,plain,
( e22 != h4(e10)
| ~ spl0_78 ),
inference(backward_demodulation,[status(thm)],[f688,f1786]) ).
fof(f3421,plain,
( ~ spl0_284
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f3420,f1426,f687]) ).
fof(f3454,plain,
( op2(e21,e23) = e21
| ~ spl0_71
| ~ spl0_303 ),
inference(forward_demodulation,[status(thm)],[f665,f1501]) ).
fof(f3458,plain,
( $false
| ~ spl0_26
| ~ spl0_269
| ~ spl0_274
| spl0_190
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f727,f3417]) ).
fof(f3459,plain,
( ~ spl0_26
| ~ spl0_269
| ~ spl0_274
| spl0_190
| ~ spl0_90 ),
inference(contradiction_clause,[status(thm)],[f3458]) ).
fof(f3460,plain,
( h3(e12) = op2(h3(e11),h3(e12))
| ~ spl0_26
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f487,f1085]) ).
fof(f3461,plain,
( e22 = op2(h3(e11),h3(e12))
| ~ spl0_274
| ~ spl0_26
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1387,f3460]) ).
fof(f3462,plain,
( e22 = op2(e21,h3(e12))
| ~ spl0_269
| ~ spl0_274
| ~ spl0_26
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1367,f3461]) ).
fof(f3463,plain,
( e22 = op2(e21,e22)
| ~ spl0_269
| ~ spl0_274
| ~ spl0_26
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1387,f3462]) ).
fof(f3464,plain,
( op2(e23,e22) = e23
| ~ spl0_78
| ~ spl0_305 ),
inference(forward_demodulation,[status(thm)],[f688,f1509]) ).
fof(f3467,plain,
( e20 = op2(e21,e21)
| ~ spl0_84 ),
inference(backward_demodulation,[status(thm)],[f2334,f263]) ).
fof(f3478,plain,
( e11 != op1(e13,e13)
| ~ spl0_7
| ~ spl0_299 ),
inference(forward_demodulation,[status(thm)],[f3222,f138]) ).
fof(f3489,plain,
( h2(e11) = op2(e21,e20)
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f2334,f1652]) ).
fof(f3490,plain,
( h2(e11) = e23
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f1629,f3489]) ).
fof(f3498,plain,
( h1(e13) = op2(e20,h1(e10))
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f1255,f1643]) ).
fof(f3499,plain,
( h1(e13) = op2(e20,e20)
| ~ spl0_64
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f2267,f3498]) ).
fof(f3500,plain,
( h1(e13) = e20
| ~ spl0_240
| ~ spl0_64
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f3109,f3499]) ).
fof(f3501,plain,
( $false
| spl0_243
| ~ spl0_240
| ~ spl0_64
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[status(thm)],[f3500,f1264]) ).
fof(f3502,plain,
( spl0_243
| ~ spl0_240
| ~ spl0_64
| ~ spl0_241 ),
inference(contradiction_clause,[status(thm)],[f3501]) ).
fof(f3518,plain,
( e20 = h4(e10)
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f271,f2174]) ).
fof(f3520,plain,
( e20 = op2(e23,e23)
| ~ spl0_276 ),
inference(backward_demodulation,[status(thm)],[f3518,f271]) ).
fof(f3525,plain,
( e23 != op2(e23,e22)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_38
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f3401,f2546]) ).
fof(f3526,plain,
( e23 != e23
| ~ spl0_123
| ~ spl0_114
| ~ spl0_276
| ~ spl0_38
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f834,f3525]) ).
fof(f3527,plain,
( $false
| ~ spl0_123
| ~ spl0_114
| ~ spl0_276
| ~ spl0_38
| spl0_216 ),
inference(trivial_equality_resolution,[status(esa)],[f3526]) ).
fof(f3528,plain,
( ~ spl0_123
| ~ spl0_114
| ~ spl0_276
| ~ spl0_38
| spl0_216 ),
inference(contradiction_clause,[status(thm)],[f3527]) ).
fof(f3549,plain,
( e21 = e20
| ~ spl0_71
| ~ spl0_303
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f3454,f734]) ).
fof(f3550,plain,
( $false
| ~ spl0_71
| ~ spl0_303
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f3549,f218]) ).
fof(f3551,plain,
( ~ spl0_71
| ~ spl0_303
| ~ spl0_92 ),
inference(contradiction_clause,[status(thm)],[f3550]) ).
fof(f3563,plain,
( h2(e12) != op2(h2(e11),e21)
| ~ spl0_26
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f487,f1645]) ).
fof(f3564,plain,
( e21 != op2(h2(e11),e21)
| ~ spl0_26
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f262,f3563]) ).
fof(f3565,plain,
( e21 != op2(e23,e21)
| ~ spl0_84
| ~ spl0_26
| spl0_167 ),
inference(backward_demodulation,[status(thm)],[f3490,f3564]) ).
fof(f3566,plain,
( ~ spl0_117
| ~ spl0_84
| ~ spl0_26
| spl0_167 ),
inference(split_clause,[status(thm)],[f3565,f814,f707,f486,f1011]) ).
fof(f3597,plain,
( h4(e13) = op2(e22,h4(e10))
| ~ spl0_114
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f3401,f1779]) ).
fof(f3598,plain,
( h4(e13) = op2(e22,e20)
| ~ spl0_114
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f3518,f3597]) ).
fof(f3599,plain,
( h4(e13) = e21
| ~ spl0_114
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f1623,f3598]) ).
fof(f3600,plain,
( h4(e13) != op2(e23,e21)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_47
| spl0_218 ),
inference(backward_demodulation,[status(thm)],[f3599,f2557]) ).
fof(f3601,plain,
( e21 != op2(e23,e21)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_47
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f3599,f3600]) ).
fof(f3602,plain,
( e21 != e21
| ~ spl0_117
| ~ spl0_114
| ~ spl0_276
| ~ spl0_47
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f815,f3601]) ).
fof(f3603,plain,
( $false
| ~ spl0_117
| ~ spl0_114
| ~ spl0_276
| ~ spl0_47
| spl0_218 ),
inference(trivial_equality_resolution,[status(esa)],[f3602]) ).
fof(f3604,plain,
( ~ spl0_117
| ~ spl0_114
| ~ spl0_276
| ~ spl0_47
| spl0_218 ),
inference(contradiction_clause,[status(thm)],[f3603]) ).
fof(f3611,plain,
( e23 != e23
| ~ spl0_84
| spl0_181 ),
inference(forward_demodulation,[status(thm)],[f3490,f1056]) ).
fof(f3612,plain,
( $false
| ~ spl0_84
| spl0_181 ),
inference(trivial_equality_resolution,[status(esa)],[f3611]) ).
fof(f3613,plain,
( ~ spl0_84
| spl0_181 ),
inference(contradiction_clause,[status(thm)],[f3612]) ).
fof(f3616,plain,
( e20 != e20
| ~ spl0_84
| spl0_252 ),
inference(forward_demodulation,[status(thm)],[f2334,f1300]) ).
fof(f3617,plain,
( $false
| ~ spl0_84
| spl0_252 ),
inference(trivial_equality_resolution,[status(esa)],[f3616]) ).
fof(f3618,plain,
( ~ spl0_84
| spl0_252 ),
inference(contradiction_clause,[status(thm)],[f3617]) ).
fof(f3619,plain,
( e21 != op2(e21,e23)
| ~ spl0_84
| ~ spl0_38
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f3490,f3000]) ).
fof(f3620,plain,
( e21 != e21
| ~ spl0_71
| ~ spl0_303
| ~ spl0_84
| ~ spl0_38
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f3454,f3619]) ).
fof(f3621,plain,
( $false
| ~ spl0_71
| ~ spl0_303
| ~ spl0_84
| ~ spl0_38
| spl0_170 ),
inference(trivial_equality_resolution,[status(esa)],[f3620]) ).
fof(f3622,plain,
( ~ spl0_71
| ~ spl0_303
| ~ spl0_84
| ~ spl0_38
| spl0_170 ),
inference(contradiction_clause,[status(thm)],[f3621]) ).
fof(f3623,plain,
( h2(e12) = op2(h2(e12),h2(e11))
| ~ spl0_38
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f526,f1021]) ).
fof(f3624,plain,
( e21 = op2(h2(e12),h2(e11))
| ~ spl0_38
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f262,f3623]) ).
fof(f3625,plain,
( e21 = op2(e21,h2(e11))
| ~ spl0_38
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f262,f3624]) ).
fof(f3626,plain,
( e21 = op2(e21,e23)
| ~ spl0_84
| ~ spl0_38
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f3490,f3625]) ).
fof(f3665,plain,
( ~ spl0_123
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f2990,f833,f677]) ).
fof(f3667,plain,
( e21 = e23
| ~ spl0_73
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f672,f678]) ).
fof(f3668,plain,
( $false
| ~ spl0_73
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f3667,f222]) ).
fof(f3669,plain,
( ~ spl0_73
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f3668]) ).
fof(f3670,plain,
( h2(e13) = op2(e23,h2(e10))
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f3490,f1655]) ).
fof(f3671,plain,
( h2(e13) = op2(e23,e20)
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f2334,f3670]) ).
fof(f3680,plain,
( e20 != op2(e20,e21)
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f2267,f1639]) ).
fof(f3717,plain,
( e21 != e21
| ~ spl0_114
| ~ spl0_276
| spl0_283 ),
inference(forward_demodulation,[status(thm)],[f3599,f1424]) ).
fof(f3718,plain,
( $false
| ~ spl0_114
| ~ spl0_276
| spl0_283 ),
inference(trivial_equality_resolution,[status(esa)],[f3717]) ).
fof(f3719,plain,
( ~ spl0_114
| ~ spl0_276
| spl0_283 ),
inference(contradiction_clause,[status(thm)],[f3718]) ).
fof(f3723,plain,
( e22 != e22
| ~ spl0_114
| ~ spl0_276
| spl0_285 ),
inference(forward_demodulation,[status(thm)],[f3401,f1432]) ).
fof(f3724,plain,
( $false
| ~ spl0_114
| ~ spl0_276
| spl0_285 ),
inference(trivial_equality_resolution,[status(esa)],[f3723]) ).
fof(f3725,plain,
( ~ spl0_114
| ~ spl0_276
| spl0_285 ),
inference(contradiction_clause,[status(thm)],[f3724]) ).
fof(f3726,plain,
( e23 != op2(e21,h4(e10))
| ~ spl0_114
| ~ spl0_276
| ~ spl0_50
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f3599,f2619]) ).
fof(f3727,plain,
( e23 != op2(e21,e20)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_50
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f3518,f3726]) ).
fof(f3728,plain,
( e23 != e23
| ~ spl0_114
| ~ spl0_276
| ~ spl0_50
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f1629,f3727]) ).
fof(f3729,plain,
( $false
| ~ spl0_114
| ~ spl0_276
| ~ spl0_50
| spl0_219 ),
inference(trivial_equality_resolution,[status(esa)],[f3728]) ).
fof(f3730,plain,
( ~ spl0_114
| ~ spl0_276
| ~ spl0_50
| spl0_219 ),
inference(contradiction_clause,[status(thm)],[f3729]) ).
fof(f3735,plain,
( e23 != op2(e20,h4(e13))
| ~ spl0_276
| ~ spl0_14
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f3518,f3337]) ).
fof(f3736,plain,
( e23 != op2(e20,e21)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_14
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f3599,f3735]) ).
fof(f3737,plain,
( e23 != e23
| ~ spl0_269
| ~ spl0_7
| ~ spl0_185
| ~ spl0_114
| ~ spl0_276
| ~ spl0_14
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f3354,f3736]) ).
fof(f3738,plain,
( $false
| ~ spl0_269
| ~ spl0_7
| ~ spl0_185
| ~ spl0_114
| ~ spl0_276
| ~ spl0_14
| spl0_210 ),
inference(trivial_equality_resolution,[status(esa)],[f3737]) ).
fof(f3739,plain,
( ~ spl0_269
| ~ spl0_7
| ~ spl0_185
| ~ spl0_114
| ~ spl0_276
| ~ spl0_14
| spl0_210 ),
inference(contradiction_clause,[status(thm)],[f3738]) ).
fof(f3790,plain,
( e20 != e20
| ~ spl0_84
| ~ spl0_20
| ~ spl0_269
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f2334,f2455]) ).
fof(f3791,plain,
( $false
| ~ spl0_84
| ~ spl0_20
| ~ spl0_269
| spl0_189 ),
inference(trivial_equality_resolution,[status(esa)],[f3790]) ).
fof(f3792,plain,
( ~ spl0_84
| ~ spl0_20
| ~ spl0_269
| spl0_189 ),
inference(contradiction_clause,[status(thm)],[f3791]) ).
fof(f3797,plain,
( e20 != op2(h4(e11),h4(e11))
| ~ spl0_276
| ~ spl0_20
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f3518,f2411]) ).
fof(f3798,plain,
( e20 != op2(e22,h4(e11))
| ~ spl0_114
| ~ spl0_276
| ~ spl0_20
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f3401,f3797]) ).
fof(f3799,plain,
( e20 != op2(e22,e22)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_20
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f3401,f3798]) ).
fof(f3800,plain,
( e20 != e20
| ~ spl0_114
| ~ spl0_276
| ~ spl0_20
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f255,f3799]) ).
fof(f3801,plain,
( $false
| ~ spl0_114
| ~ spl0_276
| ~ spl0_20
| spl0_212 ),
inference(trivial_equality_resolution,[status(esa)],[f3800]) ).
fof(f3802,plain,
( ~ spl0_114
| ~ spl0_276
| ~ spl0_20
| spl0_212 ),
inference(contradiction_clause,[status(thm)],[f3801]) ).
fof(f3807,plain,
( e22 != op2(h4(e11),h4(e13))
| ~ spl0_114
| ~ spl0_276
| ~ spl0_29
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f3401,f2749]) ).
fof(f3808,plain,
( e22 != op2(e22,h4(e13))
| ~ spl0_114
| ~ spl0_276
| ~ spl0_29
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f3401,f3807]) ).
fof(f3809,plain,
( e22 != op2(e22,e21)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_29
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f3599,f3808]) ).
fof(f3810,plain,
( e22 != e22
| ~ spl0_102
| ~ spl0_114
| ~ spl0_276
| ~ spl0_29
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f766,f3809]) ).
fof(f3811,plain,
( $false
| ~ spl0_102
| ~ spl0_114
| ~ spl0_276
| ~ spl0_29
| spl0_214 ),
inference(trivial_equality_resolution,[status(esa)],[f3810]) ).
fof(f3812,plain,
( ~ spl0_102
| ~ spl0_114
| ~ spl0_276
| ~ spl0_29
| spl0_214 ),
inference(contradiction_clause,[status(thm)],[f3811]) ).
fof(f3833,plain,
( h1(e13) != op2(h1(e13),e20)
| ~ spl0_59
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f594,f1637]) ).
fof(f3834,plain,
( e20 != op2(h1(e13),e20)
| ~ spl0_240
| ~ spl0_64
| ~ spl0_241
| ~ spl0_59
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f3500,f3833]) ).
fof(f3835,plain,
( e20 != op2(e20,e20)
| ~ spl0_240
| ~ spl0_64
| ~ spl0_241
| ~ spl0_59
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f3500,f3834]) ).
fof(f3836,plain,
( e20 != e20
| ~ spl0_240
| ~ spl0_64
| ~ spl0_241
| ~ spl0_59
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f3109,f3835]) ).
fof(f3837,plain,
( $false
| ~ spl0_240
| ~ spl0_64
| ~ spl0_241
| ~ spl0_59
| spl0_152 ),
inference(trivial_equality_resolution,[status(esa)],[f3836]) ).
fof(f3838,plain,
( ~ spl0_240
| ~ spl0_64
| ~ spl0_241
| ~ spl0_59
| spl0_152 ),
inference(contradiction_clause,[status(thm)],[f3837]) ).
fof(f3874,plain,
( e20 != op2(h1(e12),h1(e12))
| ~ spl0_64
| spl0_148 ),
inference(forward_demodulation,[status(thm)],[f2267,f1587]) ).
fof(f3875,plain,
( e20 != op2(e20,h1(e12))
| ~ spl0_64
| spl0_148 ),
inference(forward_demodulation,[status(thm)],[f258,f3874]) ).
fof(f3876,plain,
( e20 != op2(e20,e20)
| ~ spl0_64
| spl0_148 ),
inference(forward_demodulation,[status(thm)],[f258,f3875]) ).
fof(f3877,plain,
( e20 != e20
| ~ spl0_240
| ~ spl0_64
| spl0_148 ),
inference(forward_demodulation,[status(thm)],[f3109,f3876]) ).
fof(f3878,plain,
( $false
| ~ spl0_240
| ~ spl0_64
| spl0_148 ),
inference(trivial_equality_resolution,[status(esa)],[f3877]) ).
fof(f3879,plain,
( ~ spl0_240
| ~ spl0_64
| spl0_148 ),
inference(contradiction_clause,[status(thm)],[f3878]) ).
fof(f3894,plain,
( e20 != op2(e20,h1(e10))
| ~ spl0_241
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f1255,f2487]) ).
fof(f3895,plain,
( e20 != op2(e20,e20)
| ~ spl0_64
| ~ spl0_241
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f2267,f3894]) ).
fof(f3896,plain,
( e20 != e20
| ~ spl0_240
| ~ spl0_64
| ~ spl0_241
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f3109,f3895]) ).
fof(f3897,plain,
( $false
| ~ spl0_240
| ~ spl0_64
| ~ spl0_241
| spl0_146 ),
inference(trivial_equality_resolution,[status(esa)],[f3896]) ).
fof(f3898,plain,
( ~ spl0_240
| ~ spl0_64
| ~ spl0_241
| spl0_146 ),
inference(contradiction_clause,[status(thm)],[f3897]) ).
fof(f3899,plain,
( ~ spl0_61
| ~ spl0_7
| ~ spl0_299 ),
inference(split_clause,[status(thm)],[f3478,f600,f424,f1484]) ).
fof(f3933,plain,
( e20 != op2(h4(e13),h4(e13))
| ~ spl0_276
| ~ spl0_60
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f3518,f2803]) ).
fof(f3934,plain,
( e20 != op2(e21,h4(e13))
| ~ spl0_114
| ~ spl0_276
| ~ spl0_60
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f3599,f3933]) ).
fof(f3935,plain,
( e20 != op2(e21,e21)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_60
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f3599,f3934]) ).
fof(f3936,plain,
( e20 != e20
| ~ spl0_84
| ~ spl0_114
| ~ spl0_276
| ~ spl0_60
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f3467,f3935]) ).
fof(f3937,plain,
( $false
| ~ spl0_84
| ~ spl0_114
| ~ spl0_276
| ~ spl0_60
| spl0_222 ),
inference(trivial_equality_resolution,[status(esa)],[f3936]) ).
fof(f3938,plain,
( ~ spl0_84
| ~ spl0_114
| ~ spl0_276
| ~ spl0_60
| spl0_222 ),
inference(contradiction_clause,[status(thm)],[f3937]) ).
fof(f3958,plain,
( h1(e12) != op2(h1(e11),e20)
| ~ spl0_26
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f487,f1634]) ).
fof(f3959,plain,
( e20 != op2(h1(e11),e20)
| ~ spl0_26
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f258,f3958]) ).
fof(f3960,plain,
( e20 != op2(e20,e20)
| ~ spl0_241
| ~ spl0_26
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f1255,f3959]) ).
fof(f3961,plain,
( e20 != e20
| ~ spl0_240
| ~ spl0_241
| ~ spl0_26
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f3109,f3960]) ).
fof(f3962,plain,
( $false
| ~ spl0_240
| ~ spl0_241
| ~ spl0_26
| spl0_144 ),
inference(trivial_equality_resolution,[status(esa)],[f3961]) ).
fof(f3963,plain,
( ~ spl0_240
| ~ spl0_241
| ~ spl0_26
| spl0_144 ),
inference(contradiction_clause,[status(thm)],[f3962]) ).
fof(f3977,plain,
( e20 != op2(h1(e11),h1(e11))
| ~ spl0_64
| ~ spl0_20
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f2267,f2489]) ).
fof(f3978,plain,
( e20 != op2(e20,h1(e11))
| ~ spl0_241
| ~ spl0_64
| ~ spl0_20
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f1255,f3977]) ).
fof(f3979,plain,
( e20 != op2(e20,e20)
| ~ spl0_241
| ~ spl0_64
| ~ spl0_20
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f1255,f3978]) ).
fof(f3980,plain,
( e20 != e20
| ~ spl0_240
| ~ spl0_241
| ~ spl0_64
| ~ spl0_20
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f3109,f3979]) ).
fof(f3981,plain,
( $false
| ~ spl0_240
| ~ spl0_241
| ~ spl0_64
| ~ spl0_20
| spl0_143 ),
inference(trivial_equality_resolution,[status(esa)],[f3980]) ).
fof(f3982,plain,
( ~ spl0_240
| ~ spl0_241
| ~ spl0_64
| ~ spl0_20
| spl0_143 ),
inference(contradiction_clause,[status(thm)],[f3981]) ).
fof(f3983,plain,
( e20 != op2(h1(e11),h1(e10))
| ~ spl0_240
| ~ spl0_64
| ~ spl0_241
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f3500,f1610]) ).
fof(f3984,plain,
( e20 != op2(e20,h1(e10))
| ~ spl0_240
| ~ spl0_64
| ~ spl0_241
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f1255,f3983]) ).
fof(f3985,plain,
( e20 != op2(e20,e20)
| ~ spl0_240
| ~ spl0_64
| ~ spl0_241
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f2267,f3984]) ).
fof(f3986,plain,
( e20 != e20
| ~ spl0_240
| ~ spl0_64
| ~ spl0_241
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f3109,f3985]) ).
fof(f3987,plain,
( $false
| ~ spl0_240
| ~ spl0_64
| ~ spl0_241
| spl0_142 ),
inference(trivial_equality_resolution,[status(esa)],[f3986]) ).
fof(f3988,plain,
( ~ spl0_240
| ~ spl0_64
| ~ spl0_241
| spl0_142 ),
inference(contradiction_clause,[status(thm)],[f3987]) ).
fof(f4016,plain,
( spl0_21
| ~ spl0_53
| ~ spl0_130 ),
inference(split_clause,[status(thm)],[f2840,f470,f574,f889]) ).
fof(f4017,plain,
( op2(e22,e23) = e22
| ~ spl0_123
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f834,f913]) ).
fof(f4018,plain,
( e23 = e22
| ~ spl0_111
| ~ spl0_123
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f795,f4017]) ).
fof(f4019,plain,
( $false
| ~ spl0_111
| ~ spl0_123
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[status(thm)],[f4018,f223]) ).
fof(f4020,plain,
( ~ spl0_111
| ~ spl0_123
| ~ spl0_136 ),
inference(contradiction_clause,[status(thm)],[f4019]) ).
fof(f4025,plain,
( spl0_4
| ~ spl0_231 ),
inference(split_clause,[status(thm)],[f2499,f415,f1215]) ).
fof(f4034,plain,
( op2(e21,e22) = e21
| ~ spl0_102
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f766,f1239]) ).
fof(f4035,plain,
( e22 = e21
| ~ spl0_269
| ~ spl0_274
| ~ spl0_26
| ~ spl0_190
| ~ spl0_102
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f3463,f4034]) ).
fof(f4036,plain,
( $false
| ~ spl0_269
| ~ spl0_274
| ~ spl0_26
| ~ spl0_190
| ~ spl0_102
| ~ spl0_237 ),
inference(forward_subsumption_resolution,[status(thm)],[f4035,f221]) ).
fof(f4037,plain,
( ~ spl0_269
| ~ spl0_274
| ~ spl0_26
| ~ spl0_190
| ~ spl0_102
| ~ spl0_237 ),
inference(contradiction_clause,[status(thm)],[f4036]) ).
fof(f4038,plain,
( op2(e23,e23) = e23
| ~ spl0_111
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f795,f1247]) ).
fof(f4039,plain,
( e20 = e23
| ~ spl0_276
| ~ spl0_111
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f3520,f4038]) ).
fof(f4040,plain,
( $false
| ~ spl0_276
| ~ spl0_111
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[status(thm)],[f4039,f220]) ).
fof(f4041,plain,
( ~ spl0_276
| ~ spl0_111
| ~ spl0_239 ),
inference(contradiction_clause,[status(thm)],[f4040]) ).
fof(f4043,plain,
( op1(e12,e12) = e12
| ~ spl0_26
| ~ spl0_291 ),
inference(forward_demodulation,[status(thm)],[f487,f1454]) ).
fof(f4044,plain,
( e10 = e12
| ~ spl0_26
| ~ spl0_291 ),
inference(forward_demodulation,[status(thm)],[f252,f4043]) ).
fof(f4045,plain,
( $false
| ~ spl0_26
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[status(thm)],[f4044,f213]) ).
fof(f4046,plain,
( ~ spl0_26
| ~ spl0_291 ),
inference(contradiction_clause,[status(thm)],[f4045]) ).
fof(f4057,plain,
( h4(e10) != h1(e10)
| ~ spl0_0
| ~ spl0_276
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f403,f2177]) ).
fof(f4058,plain,
( e20 != h1(e10)
| ~ spl0_0
| ~ spl0_276
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f3518,f4057]) ).
fof(f4059,plain,
( e20 != e20
| ~ spl0_64
| ~ spl0_0
| ~ spl0_276
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f2267,f4058]) ).
fof(f4060,plain,
( $false
| ~ spl0_64
| ~ spl0_0
| ~ spl0_276
| spl0_207 ),
inference(trivial_equality_resolution,[status(esa)],[f4059]) ).
fof(f4061,plain,
( ~ spl0_64
| ~ spl0_0
| ~ spl0_276
| spl0_207 ),
inference(contradiction_clause,[status(thm)],[f4060]) ).
fof(f4066,plain,
( e20 != op2(h2(e11),h2(e11))
| ~ spl0_84
| ~ spl0_20
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f2334,f2477]) ).
fof(f4067,plain,
( e20 != op2(e23,h2(e11))
| ~ spl0_84
| ~ spl0_20
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f3490,f4066]) ).
fof(f4068,plain,
( e20 != op2(e23,e23)
| ~ spl0_84
| ~ spl0_20
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f3490,f4067]) ).
fof(f4069,plain,
( e20 != e20
| ~ spl0_276
| ~ spl0_84
| ~ spl0_20
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f3520,f4068]) ).
fof(f4070,plain,
( $false
| ~ spl0_276
| ~ spl0_84
| ~ spl0_20
| spl0_166 ),
inference(trivial_equality_resolution,[status(esa)],[f4069]) ).
fof(f4071,plain,
( ~ spl0_276
| ~ spl0_84
| ~ spl0_20
| spl0_166 ),
inference(contradiction_clause,[status(thm)],[f4070]) ).
fof(f4095,plain,
( e23 != op2(e22,e23)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_26
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f3401,f3111]) ).
fof(f4096,plain,
( e23 != e23
| ~ spl0_111
| ~ spl0_114
| ~ spl0_276
| ~ spl0_26
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f795,f4095]) ).
fof(f4097,plain,
( $false
| ~ spl0_111
| ~ spl0_114
| ~ spl0_276
| ~ spl0_26
| spl0_213 ),
inference(trivial_equality_resolution,[status(esa)],[f4096]) ).
fof(f4098,plain,
( ~ spl0_111
| ~ spl0_114
| ~ spl0_276
| ~ spl0_26
| spl0_213 ),
inference(contradiction_clause,[status(thm)],[f4097]) ).
fof(f4102,plain,
( e22 != op2(h4(e13),h4(e11))
| ~ spl0_114
| ~ spl0_276
| ~ spl0_53
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f3401,f2746]) ).
fof(f4103,plain,
( e22 != op2(e21,h4(e11))
| ~ spl0_114
| ~ spl0_276
| ~ spl0_53
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f3599,f4102]) ).
fof(f4104,plain,
( e22 != op2(e21,e22)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_53
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f3401,f4103]) ).
fof(f4105,plain,
( e22 != e22
| ~ spl0_269
| ~ spl0_274
| ~ spl0_26
| ~ spl0_190
| ~ spl0_114
| ~ spl0_276
| ~ spl0_53
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f3463,f4104]) ).
fof(f4106,plain,
( $false
| ~ spl0_269
| ~ spl0_274
| ~ spl0_26
| ~ spl0_190
| ~ spl0_114
| ~ spl0_276
| ~ spl0_53
| spl0_220 ),
inference(trivial_equality_resolution,[status(esa)],[f4105]) ).
fof(f4107,plain,
( ~ spl0_269
| ~ spl0_274
| ~ spl0_26
| ~ spl0_190
| ~ spl0_114
| ~ spl0_276
| ~ spl0_53
| spl0_220 ),
inference(contradiction_clause,[status(thm)],[f4106]) ).
fof(f4108,plain,
( e21 != op2(h4(e10),h4(e11))
| ~ spl0_114
| ~ spl0_276
| ~ spl0_7
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f3599,f2098]) ).
fof(f4109,plain,
( e21 != op2(e20,h4(e11))
| ~ spl0_114
| ~ spl0_276
| ~ spl0_7
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f3518,f4108]) ).
fof(f4110,plain,
( e21 != op2(e20,e22)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_7
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f3401,f4109]) ).
fof(f4111,plain,
( e21 != e21
| ~ spl0_73
| ~ spl0_114
| ~ spl0_276
| ~ spl0_7
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f672,f4110]) ).
fof(f4112,plain,
( $false
| ~ spl0_73
| ~ spl0_114
| ~ spl0_276
| ~ spl0_7
| spl0_208 ),
inference(trivial_equality_resolution,[status(esa)],[f4111]) ).
fof(f4113,plain,
( ~ spl0_73
| ~ spl0_114
| ~ spl0_276
| ~ spl0_7
| spl0_208 ),
inference(contradiction_clause,[status(thm)],[f4112]) ).
fof(f4119,plain,
( h4(e11) != op2(h4(e10),e23)
| ~ spl0_9
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f432,f1686]) ).
fof(f4120,plain,
( e22 != op2(h4(e10),e23)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_9
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f3401,f4119]) ).
fof(f4121,plain,
( e22 != op2(e20,e23)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_9
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f3518,f4120]) ).
fof(f4122,plain,
( e22 != e22
| ~ spl0_78
| ~ spl0_114
| ~ spl0_276
| ~ spl0_9
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f688,f4121]) ).
fof(f4123,plain,
( $false
| ~ spl0_78
| ~ spl0_114
| ~ spl0_276
| ~ spl0_9
| spl0_209 ),
inference(trivial_equality_resolution,[status(esa)],[f4122]) ).
fof(f4124,plain,
( ~ spl0_78
| ~ spl0_114
| ~ spl0_276
| ~ spl0_9
| spl0_209 ),
inference(contradiction_clause,[status(thm)],[f4123]) ).
fof(f4125,plain,
( h4(e13) != op2(h4(e13),e23)
| ~ spl0_59
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f594,f1690]) ).
fof(f4126,plain,
( e21 != op2(h4(e13),e23)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_59
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f3599,f4125]) ).
fof(f4127,plain,
( e21 != op2(e21,e23)
| ~ spl0_114
| ~ spl0_276
| ~ spl0_59
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f3599,f4126]) ).
fof(f4128,plain,
( e21 != e21
| ~ spl0_84
| ~ spl0_38
| ~ spl0_170
| ~ spl0_114
| ~ spl0_276
| ~ spl0_59
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f3626,f4127]) ).
fof(f4129,plain,
( $false
| ~ spl0_84
| ~ spl0_38
| ~ spl0_170
| ~ spl0_114
| ~ spl0_276
| ~ spl0_59
| spl0_221 ),
inference(trivial_equality_resolution,[status(esa)],[f4128]) ).
fof(f4130,plain,
( ~ spl0_84
| ~ spl0_38
| ~ spl0_170
| ~ spl0_114
| ~ spl0_276
| ~ spl0_59
| spl0_221 ),
inference(contradiction_clause,[status(thm)],[f4129]) ).
fof(f4131,plain,
( e23 = e20
| ~ spl0_111
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f795,f786]) ).
fof(f4132,plain,
( $false
| ~ spl0_111
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f4131,f220]) ).
fof(f4133,plain,
( ~ spl0_111
| ~ spl0_108 ),
inference(contradiction_clause,[status(thm)],[f4132]) ).
fof(f4147,plain,
( e20 = e21
| ~ spl0_84
| ~ spl0_256 ),
inference(forward_demodulation,[status(thm)],[f2334,f1315]) ).
fof(f4148,plain,
( $false
| ~ spl0_84
| ~ spl0_256 ),
inference(forward_subsumption_resolution,[status(thm)],[f4147,f218]) ).
fof(f4149,plain,
( ~ spl0_84
| ~ spl0_256 ),
inference(contradiction_clause,[status(thm)],[f4148]) ).
fof(f4158,plain,
( e23 != h4(e10)
| ~ spl0_111 ),
inference(forward_demodulation,[status(thm)],[f795,f1780]) ).
fof(f4159,plain,
( ~ spl0_226
| ~ spl0_111 ),
inference(split_clause,[status(thm)],[f4158,f1196,f794]) ).
fof(f4205,plain,
( ~ spl0_66
| ~ spl0_248
| spl0_148 ),
inference(split_clause,[status(thm)],[f2486,f648,f1282,f950]) ).
fof(f4268,plain,
( h2(e13) = e20
| ~ spl0_84
| ~ spl0_112 ),
inference(forward_demodulation,[status(thm)],[f3671,f799]) ).
fof(f4269,plain,
( e20 = op2(e23,e20)
| ~ spl0_112
| ~ spl0_84 ),
inference(backward_demodulation,[status(thm)],[f4268,f3671]) ).
fof(f4271,plain,
( op2(e21,e23) = e21
| ~ spl0_119
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f821,f909]) ).
fof(f4303,plain,
( e23 != op2(e20,e22)
| ~ spl0_75
| ~ spl0_248
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f3262,f2488]) ).
fof(f4304,plain,
( e23 != e23
| ~ spl0_75
| ~ spl0_248
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f678,f4303]) ).
fof(f4305,plain,
( $false
| ~ spl0_75
| ~ spl0_248
| spl0_146 ),
inference(trivial_equality_resolution,[status(esa)],[f4304]) ).
fof(f4306,plain,
( ~ spl0_75
| ~ spl0_248
| spl0_146 ),
inference(contradiction_clause,[status(thm)],[f4305]) ).
fof(f4403,plain,
( op2(e20,e20) = e20
| ~ spl0_112
| ~ spl0_84
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f4269,f905]) ).
fof(f4404,plain,
( e22 = e20
| ~ spl0_248
| ~ spl0_112
| ~ spl0_84
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f3263,f4403]) ).
fof(f4405,plain,
( $false
| ~ spl0_248
| ~ spl0_112
| ~ spl0_84
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[status(thm)],[f4404,f219]) ).
fof(f4406,plain,
( ~ spl0_248
| ~ spl0_112
| ~ spl0_84
| ~ spl0_134 ),
inference(contradiction_clause,[status(thm)],[f4405]) ).
fof(f4415,plain,
( op2(e21,e23) != e21
| ~ spl0_119
| spl0_135 ),
inference(forward_demodulation,[status(thm)],[f821,f910]) ).
fof(f4416,plain,
( e21 != e21
| ~ spl0_93
| ~ spl0_119
| spl0_135 ),
inference(forward_demodulation,[status(thm)],[f737,f4415]) ).
fof(f4417,plain,
( $false
| ~ spl0_93
| ~ spl0_119
| spl0_135 ),
inference(trivial_equality_resolution,[status(esa)],[f4416]) ).
fof(f4418,plain,
( ~ spl0_93
| ~ spl0_119
| spl0_135 ),
inference(contradiction_clause,[status(thm)],[f4417]) ).
fof(f4424,plain,
( spl0_93
| ~ spl0_119
| ~ spl0_135 ),
inference(split_clause,[status(thm)],[f4271,f736,f820,f908]) ).
fof(f4455,plain,
( spl0_123
| ~ spl0_78
| ~ spl0_305 ),
inference(split_clause,[status(thm)],[f3464,f833,f687,f1508]) ).
fof(f4458,plain,
( ~ spl0_68
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f3680,f655,f642]) ).
fof(f4459,plain,
( ~ spl0_68
| ~ spl0_240 ),
inference(split_clause,[status(thm)],[f3107,f655,f1250]) ).
fof(f4471,plain,
( e22 = e21
| ~ spl0_102
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f766,f763]) ).
fof(f4472,plain,
( $false
| ~ spl0_102
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f4471,f221]) ).
fof(f4473,plain,
( ~ spl0_102
| ~ spl0_101 ),
inference(contradiction_clause,[status(thm)],[f4472]) ).
fof(f4474,plain,
$false,
inference(sat_refutation,[status(thm)],[f427,f479,f492,f505,f544,f611,f614,f615,f616,f617,f618,f621,f623,f628,f629,f630,f631,f632,f633,f635,f637,f654,f667,f680,f693,f732,f758,f784,f810,f823,f850,f852,f854,f855,f856,f857,f858,f859,f860,f861,f862,f865,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f880,f888,f892,f896,f907,f911,f915,f919,f1207,f1218,f1226,f1245,f1261,f1285,f1301,f1325,f1349,f1369,f1389,f1397,f1425,f1433,f1448,f1452,f1456,f1467,f1471,f1483,f1487,f1491,f1495,f1499,f1503,f1507,f1511,f1544,f1553,f1565,f1570,f1577,f1583,f1586,f1657,f1670,f1700,f1706,f1713,f1717,f1721,f1727,f1730,f1734,f1740,f1745,f1749,f1761,f1775,f1814,f1817,f1823,f1827,f1830,f1833,f1850,f1853,f1859,f1864,f1869,f1872,f1875,f1877,f1878,f1885,f1939,f1948,f1951,f1964,f1975,f1982,f2001,f2019,f2039,f2043,f2060,f2064,f2068,f2074,f2076,f2080,f2087,f2090,f2093,f2116,f2126,f2129,f2138,f2139,f2142,f2145,f2149,f2152,f2153,f2154,f2157,f2160,f2180,f2196,f2200,f2220,f2225,f2236,f2242,f2251,f2269,f2272,f2276,f2287,f2294,f2301,f2307,f2313,f2325,f2328,f2330,f2338,f2342,f2348,f2352,f2355,f2373,f2380,f2404,f2410,f2416,f2418,f2421,f2428,f2444,f2450,f2461,f2472,f2476,f2480,f2504,f2508,f2512,f2536,f2556,f2570,f2574,f2575,f2576,f2587,f2590,f2594,f2598,f2599,f2604,f2613,f2654,f2656,f2663,f2670,f2671,f2675,f2677,f2682,f2688,f2713,f2717,f2718,f2721,f2723,f2727,f2818,f2823,f2843,f2846,f2847,f2849,f2877,f2883,f2887,f2909,f2952,f2959,f3017,f3034,f3063,f3071,f3072,f3078,f3083,f3173,f3205,f3227,f3283,f3292,f3295,f3313,f3338,f3342,f3402,f3421,f3459,f3502,f3528,f3551,f3566,f3604,f3613,f3618,f3622,f3665,f3669,f3719,f3725,f3730,f3739,f3792,f3802,f3812,f3838,f3879,f3898,f3899,f3938,f3963,f3982,f3988,f4016,f4020,f4025,f4037,f4041,f4046,f4061,f4071,f4098,f4107,f4113,f4124,f4130,f4133,f4149,f4159,f4205,f4306,f4406,f4418,f4424,f4455,f4458,f4459,f4473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG107+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:23:35 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 1.33/0.63 % Refutation found
% 1.33/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.33/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.12/0.64 % Elapsed time: 0.295570 seconds
% 2.12/0.64 % CPU time: 2.200792 seconds
% 2.12/0.64 % Total memory used: 48.298 MB
% 2.12/0.64 % Net memory used: 47.109 MB
%------------------------------------------------------------------------------