TSTP Solution File: ALG111+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG111+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 20:09:53 EDT 2024
% Result : Theorem 0.19s 0.54s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 149
% Syntax : Number of formulae : 727 ( 102 unt; 0 def)
% Number of atoms : 3132 (1922 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 3994 (1589 ~;1672 |; 601 &)
% ( 120 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 66 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 134 ( 132 usr; 133 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e12,e12) != e10 )
& ( op1(e10,e10) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e11) != e10
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) != e11 )
& ( op1(e10,e11) != e10
| op1(e13,e13) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e12) != e10
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e12,e12) != e12 )
& ( op1(e10,e12) != e10
| op1(e13,e13) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& ( op1(e10,e13) != e10
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e12,e12) != e13 )
& ( op1(e10,e13) != e10
| op1(e13,e13) != e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) != e11
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e13,e13) != e10 )
& ( op1(e11,e11) != e11
| op1(e10,e10) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e11
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e13,e13) != e11 )
& ( op1(e11,e12) != e11
| op1(e10,e10) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e12) != e11
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e13,e13) != e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e11,e13) != e11
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e13,e13) != e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) != e10 )
& ( op1(e12,e10) != e12
| op1(e11,e11) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e10) != e12
| op1(e13,e13) != e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) != e11 )
& ( op1(e12,e11) != e12
| op1(e11,e11) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e11) != e12
| op1(e13,e13) != e11 )
& ( op1(e12,e12) != e12
| op1(e10,e10) != e12 )
& ( op1(e12,e12) != e12
| op1(e11,e11) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e12
| op1(e13,e13) != e12 )
& ( op1(e12,e13) != e12
| op1(e10,e10) != e13 )
& ( op1(e12,e13) != e12
| op1(e11,e11) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e12,e13) != e12
| op1(e13,e13) != e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) != e10 )
& ( op1(e13,e10) != e13
| op1(e11,e11) != e10 )
& ( op1(e13,e10) != e13
| op1(e12,e12) != e10 )
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) != e11 )
& ( op1(e13,e11) != e13
| op1(e11,e11) != e11 )
& ( op1(e13,e11) != e13
| op1(e12,e12) != e11 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) != e12 )
& ( op1(e13,e12) != e13
| op1(e11,e11) != e12 )
& ( op1(e13,e12) != e13
| op1(e12,e12) != e12 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e10,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e11,e11) != e13 )
& ( op1(e13,e13) != e13
| op1(e12,e12) != e13 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e22,e22) != e20 )
& ( op2(e20,e20) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e21) != e20
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e22,e22) != e21 )
& ( op2(e20,e21) != e20
| op2(e23,e23) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e22) != e20
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e22,e22) != e22 )
& ( op2(e20,e22) != e20
| op2(e23,e23) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& ( op2(e20,e23) != e20
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e22,e22) != e23 )
& ( op2(e20,e23) != e20
| op2(e23,e23) != e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) != e21
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e23,e23) != e20 )
& ( op2(e21,e21) != e21
| op2(e20,e20) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e21
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e23,e23) != e21 )
& ( op2(e21,e22) != e21
| op2(e20,e20) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) != e21
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e23,e23) != e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e21,e23) != e21
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e23,e23) != e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) != e20 )
& ( op2(e22,e20) != e22
| op2(e21,e21) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e20) != e22
| op2(e23,e23) != e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) != e21 )
& ( op2(e22,e21) != e22
| op2(e21,e21) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e21) != e22
| op2(e23,e23) != e21 )
& ( op2(e22,e22) != e22
| op2(e20,e20) != e22 )
& ( op2(e22,e22) != e22
| op2(e21,e21) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e22
| op2(e23,e23) != e22 )
& ( op2(e22,e23) != e22
| op2(e20,e20) != e23 )
& ( op2(e22,e23) != e22
| op2(e21,e21) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e22,e23) != e22
| op2(e23,e23) != e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) != e20 )
& ( op2(e23,e20) != e23
| op2(e21,e21) != e20 )
& ( op2(e23,e20) != e23
| op2(e22,e22) != e20 )
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) != e21 )
& ( op2(e23,e21) != e23
| op2(e21,e21) != e21 )
& ( op2(e23,e21) != e23
| op2(e22,e22) != e21 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) != e22 )
& ( op2(e23,e22) != e23
| op2(e21,e21) != e22 )
& ( op2(e23,e22) != e23
| op2(e22,e22) != e22 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e20,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e21,e21) != e23 )
& ( op2(e23,e23) != e23
| op2(e22,e22) != e23 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = e20
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = e21
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = e22
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = e23
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
file('/export/starexec/sandbox/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/sandbox/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(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(f34,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f36,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
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(f38,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f42,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f47,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f51,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
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(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(f65,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f66,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
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(f72,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f75,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f82,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = 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(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(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(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(f100,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
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(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(f129,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f133,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f136,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f138,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f139,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f158,plain,
op1(e13,e10) != op1(e13,e11),
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(f167,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f175,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f182,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f184,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f185,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f193,plain,
op2(e20,e22) != 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(f207,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f209,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f211,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f212,plain,
e10 != e11,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f213,plain,
e10 != e12,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f216,plain,
e11 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f217,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f218,plain,
e20 != e21,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f219,plain,
e20 != e22,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f222,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f223,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f240,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e10 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f247,plain,
( op1(e10,e11) != e10
| op1(e13,e13) != e11 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f251,plain,
( op1(e10,e12) != e10
| op1(e13,e13) != e12 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f253,plain,
( op1(e10,e13) != e10
| op1(e11,e11) != e13 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f261,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f274,plain,
( op1(e12,e10) != e12
| op1(e12,e12) != e10 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f279,plain,
( op1(e12,e11) != e12
| op1(e13,e13) != e11 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f282,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e12 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f285,plain,
( op1(e12,e13) != e12
| op1(e11,e11) != e13 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f291,plain,
( op1(e13,e10) != e13
| op1(e13,e13) != e10 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f295,plain,
( op1(e13,e11) != e13
| op1(e13,e13) != e11 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f303,plain,
( op1(e13,e13) != e13
| op1(e13,e13) != e13 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f304,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f317,plain,
( op2(e20,e23) != e20
| op2(e21,e21) != e23 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f325,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != e21 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f333,plain,
( op2(e21,e23) != e21
| op2(e21,e21) != e23 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f337,plain,
( op2(e22,e20) != e22
| op2(e21,e21) != e20 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f338,plain,
( op2(e22,e20) != e22
| op2(e22,e22) != e20 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f346,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e22 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f349,plain,
( op2(e22,e23) != e22
| op2(e21,e21) != e23 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f359,plain,
( op2(e23,e21) != e23
| op2(e23,e23) != e21 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f368,plain,
e10 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f369,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f370,plain,
e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f371,plain,
e20 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f372,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f373,plain,
e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f376,plain,
h1(e11) = op2(e20,e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f378,plain,
h2(e13) = e21,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f379,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f380,plain,
h2(e11) = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f381,plain,
h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f384,plain,
h3(e11) = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f386,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f387,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f388,plain,
h4(e11) = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f389,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f390,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(f391,plain,
( pd0_0
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f390]) ).
fof(f392,plain,
( pd0_1
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f390]) ).
fof(f393,plain,
( pd0_2
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f390]) ).
fof(f394,plain,
( pd0_3
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f390]) ).
fof(f395,plain,
( pd0_4
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f390]) ).
fof(f396,plain,
( pd0_5
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f390]) ).
fof(f397,plain,
( pd0_6
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f390]) ).
fof(f398,plain,
( pd0_7
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f390]) ).
fof(f399,plain,
( pd0_8
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f390]) ).
fof(f400,plain,
( pd0_9
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f390]) ).
fof(f401,plain,
( pd0_10
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f390]) ).
fof(f402,plain,
( pd0_11
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f390]) ).
fof(f403,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_0
| pd0_1
| pd0_2
| ( 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_3
| pd0_4
| pd0_5
| ( 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_6
| pd0_7
| pd0_8
| ( 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_9
| pd0_10
| pd0_11
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f390,f402,f401,f400,f399,f398,f397,f396,f395,f394,f393,f392,f391]) ).
fof(f409,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| pd0_3
| pd0_4
| pd0_5
| h2(e11) != e23 ),
inference(cnf_transformation,[status(esa)],[f403]) ).
fof(f435,plain,
( ~ pd0_3
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f394]) ).
fof(f438,plain,
( ~ pd0_3
| h2(e12) != e20 ),
inference(cnf_transformation,[status(esa)],[f435]) ).
fof(f440,plain,
( ~ pd0_4
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f395]) ).
fof(f444,plain,
( ~ pd0_4
| h2(e13) != e21 ),
inference(cnf_transformation,[status(esa)],[f440]) ).
fof(f445,plain,
( ~ pd0_5
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f396]) ).
fof(f446,plain,
( ~ pd0_5
| h2(e10) != e22 ),
inference(cnf_transformation,[status(esa)],[f445]) ).
fof(f480,plain,
( spl0_0
<=> op1(e10,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f483,plain,
( spl0_1
<=> op1(e10,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( op1(e10,e10) = e11
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f489,plain,
( spl0_3
<=> op1(e10,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f490,plain,
( op1(e10,e10) = e13
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f493,plain,
( spl0_4
<=> op1(e10,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f496,plain,
( spl0_5
<=> op1(e10,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f497,plain,
( op1(e10,e11) = e11
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f502,plain,
( spl0_7
<=> op1(e10,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f503,plain,
( op1(e10,e11) = e13
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f506,plain,
( spl0_8
<=> op1(e10,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f507,plain,
( op1(e10,e12) = e10
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( spl0_9
<=> op1(e10,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f510,plain,
( op1(e10,e12) = e11
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f515,plain,
( spl0_11
<=> op1(e10,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f516,plain,
( op1(e10,e12) = e13
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f519,plain,
( spl0_12
<=> op1(e10,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f522,plain,
( spl0_13
<=> op1(e10,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f523,plain,
( op1(e10,e13) = e11
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( spl0_14
<=> op1(e10,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f526,plain,
( op1(e10,e13) = e12
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,plain,
( spl0_15
<=> op1(e10,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f529,plain,
( op1(e10,e13) = e13
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f532,plain,
( spl0_16
<=> op1(e11,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f533,plain,
( op1(e11,e10) = e10
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f548,plain,
( spl0_21
<=> op1(e11,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f554,plain,
( spl0_23
<=> op1(e11,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f555,plain,
( op1(e11,e11) = e13
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f561,plain,
( spl0_25
<=> op1(e11,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f562,plain,
( op1(e11,e12) = e11
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f571,plain,
( spl0_28
<=> op1(e11,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f572,plain,
( op1(e11,e13) = e10
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( spl0_29
<=> op1(e11,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f575,plain,
( op1(e11,e13) = e11
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,plain,
( spl0_30
<=> op1(e11,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f578,plain,
( op1(e11,e13) = e12
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f584,plain,
( spl0_32
<=> op1(e12,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f585,plain,
( op1(e12,e10) = e10
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f590,plain,
( spl0_34
<=> op1(e12,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f591,plain,
( op1(e12,e10) = e12
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f600,plain,
( spl0_37
<=> op1(e12,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f601,plain,
( op1(e12,e11) = e11
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,plain,
( spl0_38
<=> op1(e12,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f606,plain,
( spl0_39
<=> op1(e12,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f607,plain,
( op1(e12,e11) = e13
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f610,plain,
( spl0_40
<=> op1(e12,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f613,plain,
( spl0_41
<=> op1(e12,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f616,plain,
( spl0_42
<=> op1(e12,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f619,plain,
( spl0_43
<=> op1(e12,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f620,plain,
( op1(e12,e12) = e13
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f30,f610,f613,f616,f619]) ).
fof(f623,plain,
( spl0_44
<=> op1(e12,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f624,plain,
( op1(e12,e13) = e10
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( spl0_45
<=> op1(e12,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f627,plain,
( op1(e12,e13) = e11
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,plain,
( spl0_46
<=> op1(e12,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f636,plain,
( spl0_48
<=> op1(e13,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f637,plain,
( op1(e13,e10) = e10
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f645,plain,
( spl0_51
<=> op1(e13,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f646,plain,
( op1(e13,e10) = e13
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f649,plain,
( spl0_52
<=> op1(e13,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f650,plain,
( op1(e13,e11) = e10
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f651,plain,
( op1(e13,e11) != e10
| spl0_52 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,plain,
( spl0_53
<=> op1(e13,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f653,plain,
( op1(e13,e11) = e11
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f658,plain,
( spl0_55
<=> op1(e13,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f662,plain,
( spl0_56
<=> op1(e13,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f663,plain,
( op1(e13,e12) = e10
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,plain,
( spl0_57
<=> op1(e13,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f666,plain,
( op1(e13,e12) = e11
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,plain,
( spl0_58
<=> op1(e13,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f669,plain,
( op1(e13,e12) = e12
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( spl0_59
<=> op1(e13,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( op1(e13,e12) = e13
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f34,f662,f665,f668,f671]) ).
fof(f675,plain,
( spl0_60
<=> op1(e13,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f678,plain,
( spl0_61
<=> op1(e13,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f681,plain,
( spl0_62
<=> op1(e13,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f684,plain,
( spl0_63
<=> op1(e13,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f688,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f36,f480,f493,f506,f519]) ).
fof(f689,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f37,f480,f532,f584,f636]) ).
fof(f690,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f38,f483,f496,f509,f522]) ).
fof(f694,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f42,f489,f502,f515,f528]) ).
fof(f699,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f47,f496,f548,f600,f652]) ).
fof(f703,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f51,f502,f554,f606,f658]) ).
fof(f707,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f55,f509,f561,f613,f665]) ).
fof(f708,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f56,f590,f603,f616,f629]) ).
fof(f713,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f61,f519,f571,f623,f675]) ).
fof(f715,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f63,f522,f574,f626,f678]) ).
fof(f717,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f65,f525,f577,f629,f681]) ).
fof(f718,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f66,f645,f658,f671,f684]) ).
fof(f720,plain,
( spl0_64
<=> op2(e20,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f723,plain,
( spl0_65
<=> op2(e20,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f724,plain,
( op2(e20,e20) = e21
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f729,plain,
( spl0_67
<=> op2(e20,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f730,plain,
( op2(e20,e20) = e23
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f733,plain,
( spl0_68
<=> op2(e20,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f734,plain,
( op2(e20,e21) = e20
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( spl0_69
<=> op2(e20,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( op2(e20,e21) = e21
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f742,plain,
( spl0_71
<=> op2(e20,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f743,plain,
( op2(e20,e21) = e23
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f746,plain,
( spl0_72
<=> op2(e20,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f747,plain,
( op2(e20,e22) = e20
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( spl0_73
<=> op2(e20,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f750,plain,
( op2(e20,e22) = e21
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f755,plain,
( spl0_75
<=> op2(e20,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f756,plain,
( op2(e20,e22) = e23
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f759,plain,
( spl0_76
<=> op2(e20,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f762,plain,
( spl0_77
<=> op2(e20,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f763,plain,
( op2(e20,e23) = e21
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( spl0_78
<=> op2(e20,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f766,plain,
( op2(e20,e23) = e22
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( spl0_79
<=> op2(e20,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f769,plain,
( op2(e20,e23) = e23
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( spl0_76
| spl0_77
| spl0_78
| spl0_79 ),
inference(split_clause,[status(thm)],[f71,f759,f762,f765,f768]) ).
fof(f772,plain,
( spl0_80
<=> op2(e21,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f773,plain,
( op2(e21,e20) = e20
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( spl0_81
<=> op2(e21,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f776,plain,
( op2(e21,e20) = e21
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,plain,
( spl0_82
<=> op2(e21,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f779,plain,
( op2(e21,e20) = e22
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,plain,
( spl0_83
<=> op2(e21,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f784,plain,
( spl0_80
| spl0_81
| spl0_82
| spl0_83 ),
inference(split_clause,[status(thm)],[f72,f772,f775,f778,f781]) ).
fof(f785,plain,
( spl0_84
<=> op2(e21,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f788,plain,
( spl0_85
<=> op2(e21,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f794,plain,
( spl0_87
<=> op2(e21,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f795,plain,
( op2(e21,e21) = e23
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f801,plain,
( spl0_89
<=> op2(e21,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f802,plain,
( op2(e21,e22) = e21
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f807,plain,
( spl0_91
<=> op2(e21,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f808,plain,
( op2(e21,e22) = e23
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f811,plain,
( spl0_92
<=> op2(e21,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f814,plain,
( spl0_93
<=> op2(e21,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f817,plain,
( spl0_94
<=> op2(e21,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f818,plain,
( op2(e21,e23) = e22
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,plain,
( spl0_95
<=> op2(e21,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f823,plain,
( spl0_92
| spl0_93
| spl0_94
| spl0_95 ),
inference(split_clause,[status(thm)],[f75,f811,f814,f817,f820]) ).
fof(f824,plain,
( spl0_96
<=> op2(e22,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f825,plain,
( op2(e22,e20) = e20
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f830,plain,
( spl0_98
<=> op2(e22,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f831,plain,
( op2(e22,e20) = e22
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,plain,
( spl0_99
<=> op2(e22,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f834,plain,
( op2(e22,e20) = e23
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f837,plain,
( spl0_100
<=> op2(e22,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f838,plain,
( op2(e22,e21) = e20
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( spl0_101
<=> op2(e22,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f841,plain,
( op2(e22,e21) = e21
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,plain,
( spl0_102
<=> op2(e22,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f844,plain,
( op2(e22,e21) = e22
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( spl0_103
<=> op2(e22,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f847,plain,
( op2(e22,e21) = e23
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f850,plain,
( spl0_104
<=> op2(e22,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f856,plain,
( spl0_106
<=> op2(e22,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f859,plain,
( spl0_107
<=> op2(e22,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f860,plain,
( op2(e22,e22) = e23
| ~ spl0_107 ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f863,plain,
( spl0_108
<=> op2(e22,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f864,plain,
( op2(e22,e23) = e20
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f869,plain,
( spl0_110
<=> op2(e22,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f885,plain,
( spl0_115
<=> op2(e23,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f886,plain,
( op2(e23,e20) = e23
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f889,plain,
( spl0_116
<=> op2(e23,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f890,plain,
( op2(e23,e21) = e20
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( spl0_117
<=> op2(e23,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f893,plain,
( op2(e23,e21) = e21
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f898,plain,
( spl0_119
<=> op2(e23,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f902,plain,
( spl0_120
<=> op2(e23,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f903,plain,
( op2(e23,e22) = e20
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,plain,
( spl0_121
<=> op2(e23,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f906,plain,
( op2(e23,e22) = e21
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f905]) ).
fof(f908,plain,
( spl0_122
<=> op2(e23,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f909,plain,
( op2(e23,e22) = e22
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,plain,
( spl0_123
<=> op2(e23,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f914,plain,
( spl0_120
| spl0_121
| spl0_122
| spl0_123 ),
inference(split_clause,[status(thm)],[f82,f902,f905,f908,f911]) ).
fof(f918,plain,
( spl0_125
<=> op2(e23,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f920,plain,
( op2(e23,e23) != e21
| spl0_125 ),
inference(component_clause,[status(thm)],[f918]) ).
fof(f928,plain,
( spl0_64
| spl0_68
| spl0_72
| spl0_76 ),
inference(split_clause,[status(thm)],[f84,f720,f733,f746,f759]) ).
fof(f930,plain,
( spl0_65
| spl0_69
| spl0_73
| spl0_77 ),
inference(split_clause,[status(thm)],[f86,f723,f736,f749,f762]) ).
fof(f935,plain,
( spl0_67
| spl0_83
| spl0_99
| spl0_115 ),
inference(split_clause,[status(thm)],[f91,f729,f781,f833,f885]) ).
fof(f937,plain,
( spl0_68
| spl0_84
| spl0_100
| spl0_116 ),
inference(split_clause,[status(thm)],[f93,f733,f785,f837,f889]) ).
fof(f938,plain,
( spl0_81
| spl0_85
| spl0_89
| spl0_93 ),
inference(split_clause,[status(thm)],[f94,f775,f788,f801,f814]) ).
fof(f939,plain,
( spl0_69
| spl0_85
| spl0_101
| spl0_117 ),
inference(split_clause,[status(thm)],[f95,f736,f788,f840,f892]) ).
fof(f943,plain,
( spl0_71
| spl0_87
| spl0_103
| spl0_119 ),
inference(split_clause,[status(thm)],[f99,f742,f794,f846,f898]) ).
fof(f944,plain,
( spl0_96
| spl0_100
| spl0_104
| spl0_108 ),
inference(split_clause,[status(thm)],[f100,f824,f837,f850,f863]) ).
fof(f948,plain,
( spl0_98
| spl0_102
| spl0_106
| spl0_110 ),
inference(split_clause,[status(thm)],[f104,f830,f843,f856,f869]) ).
fof(f951,plain,
( spl0_75
| spl0_91
| spl0_107
| spl0_123 ),
inference(split_clause,[status(thm)],[f107,f755,f807,f859,f911]) ).
fof(f960,plain,
~ spl0_0,
inference(split_clause,[status(thm)],[f240,f480]) ).
fof(f967,plain,
( ~ spl0_4
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f247,f493,f678]) ).
fof(f971,plain,
( ~ spl0_8
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f251,f506,f681]) ).
fof(f973,plain,
( ~ spl0_12
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f253,f519,f554]) ).
fof(f981,plain,
~ spl0_21,
inference(split_clause,[status(thm)],[f261,f548]) ).
fof(f994,plain,
( ~ spl0_34
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f274,f590,f610]) ).
fof(f999,plain,
( ~ spl0_38
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f279,f603,f678]) ).
fof(f1002,plain,
~ spl0_42,
inference(split_clause,[status(thm)],[f282,f616]) ).
fof(f1005,plain,
( ~ spl0_46
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f285,f629,f554]) ).
fof(f1011,plain,
( ~ spl0_51
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f291,f645,f675]) ).
fof(f1015,plain,
( ~ spl0_55
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f295,f658,f678]) ).
fof(f1023,plain,
~ spl0_63,
inference(split_clause,[status(thm)],[f303,f684]) ).
fof(f1024,plain,
~ spl0_64,
inference(split_clause,[status(thm)],[f304,f720]) ).
fof(f1037,plain,
( ~ spl0_76
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f317,f759,f794]) ).
fof(f1045,plain,
~ spl0_85,
inference(split_clause,[status(thm)],[f325,f788]) ).
fof(f1053,plain,
( ~ spl0_93
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f333,f814,f794]) ).
fof(f1057,plain,
( ~ spl0_98
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f337,f830,f785]) ).
fof(f1058,plain,
( ~ spl0_98
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f338,f830,f850]) ).
fof(f1066,plain,
~ spl0_106,
inference(split_clause,[status(thm)],[f346,f856]) ).
fof(f1069,plain,
( ~ spl0_110
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f349,f869,f794]) ).
fof(f1079,plain,
( ~ spl0_119
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f359,f898,f918]) ).
fof(f1161,plain,
( spl0_151
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1163,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl0_151 ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1164,plain,
( spl0_152
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1166,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl0_152 ),
inference(component_clause,[status(thm)],[f1164]) ).
fof(f1167,plain,
( spl0_153
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1169,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl0_153 ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1170,plain,
( spl0_154
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1172,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl0_154 ),
inference(component_clause,[status(thm)],[f1170]) ).
fof(f1173,plain,
( spl0_155
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1175,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl0_155 ),
inference(component_clause,[status(thm)],[f1173]) ).
fof(f1176,plain,
( spl0_156
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1178,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl0_156 ),
inference(component_clause,[status(thm)],[f1176]) ).
fof(f1179,plain,
( spl0_157
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1181,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl0_157 ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1182,plain,
( spl0_158
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1184,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl0_158 ),
inference(component_clause,[status(thm)],[f1182]) ).
fof(f1185,plain,
( spl0_159
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1187,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl0_159 ),
inference(component_clause,[status(thm)],[f1185]) ).
fof(f1188,plain,
( spl0_160
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1190,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl0_160 ),
inference(component_clause,[status(thm)],[f1188]) ).
fof(f1191,plain,
( spl0_161
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1193,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl0_161 ),
inference(component_clause,[status(thm)],[f1191]) ).
fof(f1194,plain,
( spl0_162
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1196,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl0_162 ),
inference(component_clause,[status(thm)],[f1194]) ).
fof(f1197,plain,
( spl0_163
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1199,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl0_163 ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1200,plain,
( spl0_164
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1201,plain,
( h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
| ~ spl0_164 ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1202,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl0_164 ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1203,plain,
( spl0_165
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1205,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl0_165 ),
inference(component_clause,[status(thm)],[f1203]) ).
fof(f1206,plain,
( spl0_166
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1208,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl0_166 ),
inference(component_clause,[status(thm)],[f1206]) ).
fof(f1209,plain,
( spl0_167
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f1212,plain,
( spl0_168
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f1215,plain,
( spl0_169
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f1222,plain,
( spl0_171
<=> h2(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f1224,plain,
( h2(e11) != e23
| spl0_171 ),
inference(component_clause,[status(thm)],[f1222]) ).
fof(f1225,plain,
( ~ spl0_151
| ~ spl0_152
| ~ spl0_153
| ~ spl0_154
| ~ spl0_155
| ~ spl0_156
| ~ spl0_157
| ~ spl0_158
| ~ spl0_159
| ~ spl0_160
| ~ spl0_161
| ~ spl0_162
| ~ spl0_163
| ~ spl0_164
| ~ spl0_165
| ~ spl0_166
| spl0_167
| spl0_168
| spl0_169
| ~ spl0_171 ),
inference(split_clause,[status(thm)],[f409,f1161,f1164,f1167,f1170,f1173,f1176,f1179,f1182,f1185,f1188,f1191,f1194,f1197,f1200,f1203,f1206,f1209,f1212,f1215,f1222]) ).
fof(f1313,plain,
( spl0_199
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1314,plain,
( h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
| ~ spl0_199 ),
inference(component_clause,[status(thm)],[f1313]) ).
fof(f1315,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl0_199 ),
inference(component_clause,[status(thm)],[f1313]) ).
fof(f1316,plain,
( spl0_200
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1317,plain,
( h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
| ~ spl0_200 ),
inference(component_clause,[status(thm)],[f1316]) ).
fof(f1318,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl0_200 ),
inference(component_clause,[status(thm)],[f1316]) ).
fof(f1334,plain,
( spl0_206
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1335,plain,
( h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
| ~ spl0_206 ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1336,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl0_206 ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1337,plain,
( spl0_207
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1338,plain,
( h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
| ~ spl0_207 ),
inference(component_clause,[status(thm)],[f1337]) ).
fof(f1339,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl0_207 ),
inference(component_clause,[status(thm)],[f1337]) ).
fof(f1400,plain,
( spl0_225
<=> h1(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1401,plain,
( h1(e11) = e21
| ~ spl0_225 ),
inference(component_clause,[status(thm)],[f1400]) ).
fof(f1402,plain,
( h1(e11) != e21
| spl0_225 ),
inference(component_clause,[status(thm)],[f1400]) ).
fof(f1436,plain,
( spl0_234
<=> h2(e12) = e20 ),
introduced(split_symbol_definition) ).
fof(f1438,plain,
( h2(e12) != e20
| spl0_234 ),
inference(component_clause,[status(thm)],[f1436]) ).
fof(f1439,plain,
( ~ spl0_167
| ~ spl0_234 ),
inference(split_clause,[status(thm)],[f438,f1209,f1436]) ).
fof(f1456,plain,
( spl0_239
<=> h2(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1458,plain,
( h2(e13) != e21
| spl0_239 ),
inference(component_clause,[status(thm)],[f1456]) ).
fof(f1459,plain,
( ~ spl0_168
| ~ spl0_239 ),
inference(split_clause,[status(thm)],[f444,f1212,f1456]) ).
fof(f1460,plain,
( spl0_240
<=> h2(e10) = e22 ),
introduced(split_symbol_definition) ).
fof(f1461,plain,
( h2(e10) = e22
| ~ spl0_240 ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1462,plain,
( h2(e10) != e22
| spl0_240 ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1463,plain,
( ~ spl0_169
| ~ spl0_240 ),
inference(split_clause,[status(thm)],[f446,f1215,f1460]) ).
fof(f1572,plain,
e12 = op1(e10,op1(e13,e13)),
inference(forward_demodulation,[status(thm)],[f368,f370]) ).
fof(f1573,plain,
e12 = op1(e10,e11),
inference(forward_demodulation,[status(thm)],[f369,f1572]) ).
fof(f1574,plain,
e22 = op2(e20,op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f371,f373]) ).
fof(f1575,plain,
e22 = op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f372,f1574]) ).
fof(f1578,plain,
h2(e12) = op2(h2(e10),op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f379,f381]) ).
fof(f1579,plain,
h2(e12) = op2(h2(e10),h2(e11)),
inference(forward_demodulation,[status(thm)],[f380,f1578]) ).
fof(f1582,plain,
h4(e10) = e20,
inference(forward_demodulation,[status(thm)],[f371,f387]) ).
fof(f1583,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f372,f388]) ).
fof(f1584,plain,
h4(e12) = op2(e20,op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f371,f389]) ).
fof(f1585,plain,
h4(e12) = op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f372,f1584]) ).
fof(f1586,plain,
h4(e12) = e22,
inference(forward_demodulation,[status(thm)],[f1575,f1585]) ).
fof(f1611,plain,
( e21 != e21
| spl0_239 ),
inference(forward_demodulation,[status(thm)],[f378,f1458]) ).
fof(f1612,plain,
( $false
| spl0_239 ),
inference(trivial_equality_resolution,[status(esa)],[f1611]) ).
fof(f1613,plain,
spl0_239,
inference(contradiction_clause,[status(thm)],[f1612]) ).
fof(f1644,plain,
( h4(op1(e12,e12)) != op2(e22,h4(e12))
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1586,f1339]) ).
fof(f1645,plain,
( h4(op1(e12,e12)) != op2(e22,e22)
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1586,f1644]) ).
fof(f1646,plain,
( h4(op1(e12,e12)) != h3(e11)
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f384,f1645]) ).
fof(f1647,plain,
( h4(op1(e12,e11)) != op2(e22,h4(e11))
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1586,f1336]) ).
fof(f1648,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1583,f1647]) ).
fof(f1660,plain,
( h4(op1(e10,e13)) != op2(e20,h4(e13))
| spl0_200 ),
inference(forward_demodulation,[status(thm)],[f1582,f1318]) ).
fof(f1661,plain,
( h4(op1(e10,e13)) != op2(e20,e23)
| spl0_200 ),
inference(forward_demodulation,[status(thm)],[f386,f1660]) ).
fof(f1662,plain,
( h4(op1(e10,e12)) != op2(e20,h4(e12))
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f1582,f1315]) ).
fof(f1663,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f1586,f1662]) ).
fof(f1690,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f369,f1208]) ).
fof(f1691,plain,
( h2(e11) != op2(e21,h2(e13))
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f378,f1690]) ).
fof(f1692,plain,
( h2(e11) != op2(e21,e21)
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f378,f1691]) ).
fof(f1693,plain,
( h2(e11) != h2(e11)
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f380,f1692]) ).
fof(f1694,plain,
( $false
| spl0_166 ),
inference(trivial_equality_resolution,[status(esa)],[f1693]) ).
fof(f1695,plain,
spl0_166,
inference(contradiction_clause,[status(thm)],[f1694]) ).
fof(f1696,plain,
( h2(op1(e13,e12)) != op2(e21,h2(e12))
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f378,f1205]) ).
fof(f1697,plain,
( h2(op1(e13,e11)) != op2(e21,h2(e11))
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f378,f1202]) ).
fof(f1698,plain,
( h2(op1(e13,e10)) != op2(e21,h2(e10))
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f378,f1199]) ).
fof(f1699,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e21)
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f378,f1196]) ).
fof(f1700,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e21)
| spl0_158 ),
inference(forward_demodulation,[status(thm)],[f378,f1184]) ).
fof(f1701,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e21)
| spl0_154 ),
inference(forward_demodulation,[status(thm)],[f378,f1172]) ).
fof(f1702,plain,
( h2(e12) != op2(h2(e10),h2(e11))
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f1573,f1166]) ).
fof(f1703,plain,
( h2(e12) != h2(e12)
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f1579,f1702]) ).
fof(f1704,plain,
( $false
| spl0_152 ),
inference(trivial_equality_resolution,[status(esa)],[f1703]) ).
fof(f1705,plain,
spl0_152,
inference(contradiction_clause,[status(thm)],[f1704]) ).
fof(f1752,plain,
( e22 = e23
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f1575,f743]) ).
fof(f1753,plain,
( $false
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1752,f223]) ).
fof(f1754,plain,
~ spl0_71,
inference(contradiction_clause,[status(thm)],[f1753]) ).
fof(f1758,plain,
( e22 = e21
| ~ spl0_69 ),
inference(forward_demodulation,[status(thm)],[f1575,f737]) ).
fof(f1759,plain,
( $false
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f1758,f221]) ).
fof(f1760,plain,
~ spl0_69,
inference(contradiction_clause,[status(thm)],[f1759]) ).
fof(f1764,plain,
( e12 = e13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f526,f529]) ).
fof(f1765,plain,
( $false
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1764,f217]) ).
fof(f1766,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1765]) ).
fof(f1785,plain,
e10 = op1(e13,e11),
inference(backward_demodulation,[status(thm)],[f369,f368]) ).
fof(f1786,plain,
op1(e13,e12) != e11,
inference(backward_demodulation,[status(thm)],[f369,f163]) ).
fof(f1792,plain,
op1(e12,e13) != e11,
inference(backward_demodulation,[status(thm)],[f369,f139]) ).
fof(f1794,plain,
op1(e11,e13) != e11,
inference(backward_demodulation,[status(thm)],[f369,f138]) ).
fof(f1796,plain,
op1(e10,e13) != e11,
inference(backward_demodulation,[status(thm)],[f369,f136]) ).
fof(f1797,plain,
( e11 != e11
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f523,f1796]) ).
fof(f1798,plain,
( $false
| ~ spl0_13 ),
inference(trivial_equality_resolution,[status(esa)],[f1797]) ).
fof(f1799,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f1798]) ).
fof(f1808,plain,
e20 = op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f372,f371]) ).
fof(f1809,plain,
op2(e23,e22) != e21,
inference(backward_demodulation,[status(thm)],[f372,f211]) ).
fof(f1819,plain,
op2(e20,e23) != e21,
inference(backward_demodulation,[status(thm)],[f372,f184]) ).
fof(f1820,plain,
( e21 != e21
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f763,f1819]) ).
fof(f1821,plain,
( $false
| ~ spl0_77 ),
inference(trivial_equality_resolution,[status(esa)],[f1820]) ).
fof(f1822,plain,
~ spl0_77,
inference(contradiction_clause,[status(thm)],[f1821]) ).
fof(f1823,plain,
e22 != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f1575,f192]) ).
fof(f1836,plain,
h1(e11) != op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f376,f164]) ).
fof(f1837,plain,
h2(e10) = op2(e21,h2(e11)),
inference(backward_demodulation,[status(thm)],[f380,f379]) ).
fof(f1840,plain,
op2(e21,e20) != h2(e11),
inference(backward_demodulation,[status(thm)],[f380,f194]) ).
fof(f1894,plain,
( e20 != op2(e23,e22)
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f890,f209]) ).
fof(f1895,plain,
( e20 != e20
| ~ spl0_120
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f903,f1894]) ).
fof(f1896,plain,
( $false
| ~ spl0_120
| ~ spl0_116 ),
inference(trivial_equality_resolution,[status(esa)],[f1895]) ).
fof(f1897,plain,
( ~ spl0_120
| ~ spl0_116 ),
inference(contradiction_clause,[status(thm)],[f1896]) ).
fof(f1917,plain,
( h3(e11) = e23
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f384,f860]) ).
fof(f1920,plain,
( h2(e11) = e23
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f380,f795]) ).
fof(f1921,plain,
( $false
| spl0_171
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f1920,f1224]) ).
fof(f1922,plain,
( spl0_171
| ~ spl0_87 ),
inference(contradiction_clause,[status(thm)],[f1921]) ).
fof(f1940,plain,
( h1(e11) = e23
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f376,f730]) ).
fof(f1944,plain,
( e22 = e20
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f1575,f734]) ).
fof(f1945,plain,
( $false
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1944,f219]) ).
fof(f1946,plain,
~ spl0_68,
inference(contradiction_clause,[status(thm)],[f1945]) ).
fof(f1950,plain,
( e21 = e22
| ~ spl0_101
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f841,f844]) ).
fof(f1951,plain,
( $false
| ~ spl0_101
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f1950,f221]) ).
fof(f1952,plain,
( ~ spl0_101
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f1951]) ).
fof(f1954,plain,
( e21 != e21
| spl0_125 ),
inference(forward_demodulation,[status(thm)],[f372,f920]) ).
fof(f1955,plain,
( $false
| spl0_125 ),
inference(trivial_equality_resolution,[status(esa)],[f1954]) ).
fof(f1956,plain,
spl0_125,
inference(contradiction_clause,[status(thm)],[f1955]) ).
fof(f1966,plain,
( e10 != op1(e13,e12)
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f650,f161]) ).
fof(f1967,plain,
( e10 != e10
| ~ spl0_56
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f663,f1966]) ).
fof(f1968,plain,
( $false
| ~ spl0_56
| ~ spl0_52 ),
inference(trivial_equality_resolution,[status(esa)],[f1967]) ).
fof(f1969,plain,
( ~ spl0_56
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f1968]) ).
fof(f1970,plain,
( e12 = e13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f1573,f503]) ).
fof(f1971,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1970,f217]) ).
fof(f1972,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f1971]) ).
fof(f1974,plain,
( h2(op1(e13,e11)) != h2(e10)
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f1837,f1697]) ).
fof(f1984,plain,
( e12 = e11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f1573,f497]) ).
fof(f1985,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f1984,f215]) ).
fof(f1986,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f1985]) ).
fof(f2010,plain,
( e11 != e11
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f627,f1792]) ).
fof(f2011,plain,
( $false
| ~ spl0_45 ),
inference(trivial_equality_resolution,[status(esa)],[f2010]) ).
fof(f2012,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f2011]) ).
fof(f2033,plain,
( op2(e21,e20) != e23
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f1920,f1840]) ).
fof(f2037,plain,
( e21 = e20
| ~ spl0_73
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f750,f747]) ).
fof(f2038,plain,
( $false
| ~ spl0_73
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f2037,f218]) ).
fof(f2039,plain,
( ~ spl0_73
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f2038]) ).
fof(f2044,plain,
op2(e22,e21) != e20,
inference(forward_demodulation,[status(thm)],[f1808,f175]) ).
fof(f2051,plain,
( $false
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f838,f2044]) ).
fof(f2052,plain,
~ spl0_100,
inference(contradiction_clause,[status(thm)],[f2051]) ).
fof(f2053,plain,
( h1(e11) = e21
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f376,f724]) ).
fof(f2054,plain,
( $false
| spl0_225
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f2053,f1402]) ).
fof(f2055,plain,
( spl0_225
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f2054]) ).
fof(f2057,plain,
( op2(e21,e23) != e20
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f864,f185]) ).
fof(f2058,plain,
( ~ spl0_92
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f2057,f811,f863]) ).
fof(f2088,plain,
( e10 != e10
| spl0_52 ),
inference(forward_demodulation,[status(thm)],[f1785,f651]) ).
fof(f2089,plain,
( $false
| spl0_52 ),
inference(trivial_equality_resolution,[status(esa)],[f2088]) ).
fof(f2090,plain,
spl0_52,
inference(contradiction_clause,[status(thm)],[f2089]) ).
fof(f2092,plain,
( e11 = e10
| ~ spl0_9
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f510,f507]) ).
fof(f2093,plain,
( $false
| ~ spl0_9
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f2092,f212]) ).
fof(f2094,plain,
( ~ spl0_9
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f2093]) ).
fof(f2122,plain,
( e10 = e12
| ~ spl0_28
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f572,f578]) ).
fof(f2123,plain,
( $false
| ~ spl0_28
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f2122,f213]) ).
fof(f2124,plain,
( ~ spl0_28
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f2123]) ).
fof(f2138,plain,
( e12 = e10
| ~ spl0_34
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f591,f585]) ).
fof(f2139,plain,
( $false
| ~ spl0_34
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f2138,f213]) ).
fof(f2140,plain,
( ~ spl0_34
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f2139]) ).
fof(f2156,plain,
( e13 = e11
| ~ spl0_3
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f490,f484]) ).
fof(f2157,plain,
( $false
| ~ spl0_3
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f2156,f216]) ).
fof(f2158,plain,
( ~ spl0_3
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f2157]) ).
fof(f2167,plain,
( h2(e13) != op2(h2(e11),h2(e11))
| ~ spl0_23
| spl0_156 ),
inference(backward_demodulation,[status(thm)],[f555,f1178]) ).
fof(f2168,plain,
( e21 != op2(h2(e11),h2(e11))
| ~ spl0_23
| spl0_156 ),
inference(forward_demodulation,[status(thm)],[f378,f2167]) ).
fof(f2169,plain,
( e21 != op2(e23,h2(e11))
| ~ spl0_87
| ~ spl0_23
| spl0_156 ),
inference(forward_demodulation,[status(thm)],[f1920,f2168]) ).
fof(f2170,plain,
( e21 != op2(e23,e23)
| ~ spl0_87
| ~ spl0_23
| spl0_156 ),
inference(forward_demodulation,[status(thm)],[f1920,f2169]) ).
fof(f2171,plain,
( e21 != e21
| ~ spl0_87
| ~ spl0_23
| spl0_156 ),
inference(forward_demodulation,[status(thm)],[f372,f2170]) ).
fof(f2172,plain,
( $false
| ~ spl0_87
| ~ spl0_23
| spl0_156 ),
inference(trivial_equality_resolution,[status(esa)],[f2171]) ).
fof(f2173,plain,
( ~ spl0_87
| ~ spl0_23
| spl0_156 ),
inference(contradiction_clause,[status(thm)],[f2172]) ).
fof(f2176,plain,
( e11 != op1(e12,e12)
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f601,f155]) ).
fof(f2207,plain,
( h2(e10) = op2(e21,e23)
| ~ spl0_87 ),
inference(backward_demodulation,[status(thm)],[f1920,f1837]) ).
fof(f2208,plain,
( h2(e10) = e22
| ~ spl0_94
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f818,f2207]) ).
fof(f2209,plain,
( $false
| spl0_240
| ~ spl0_94
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f2208,f1462]) ).
fof(f2210,plain,
( spl0_240
| ~ spl0_94
| ~ spl0_87 ),
inference(contradiction_clause,[status(thm)],[f2209]) ).
fof(f2214,plain,
( h2(e12) = op2(h2(e10),e23)
| ~ spl0_87 ),
inference(backward_demodulation,[status(thm)],[f1920,f1579]) ).
fof(f2225,plain,
( h1(e11) != e21
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f776,f1836]) ).
fof(f2261,plain,
( $false
| ~ spl0_81
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f2053,f2225]) ).
fof(f2262,plain,
( ~ spl0_81
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f2261]) ).
fof(f2266,plain,
( e23 != op2(e23,e22)
| ~ spl0_115 ),
inference(backward_demodulation,[status(thm)],[f886,f207]) ).
fof(f2270,plain,
( h4(op1(e12,e11)) != e21
| ~ spl0_101
| spl0_206 ),
inference(backward_demodulation,[status(thm)],[f841,f1648]) ).
fof(f2271,plain,
( h4(e11) != e21
| ~ spl0_37
| ~ spl0_101
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f601,f2270]) ).
fof(f2272,plain,
( e21 != e21
| ~ spl0_37
| ~ spl0_101
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1583,f2271]) ).
fof(f2273,plain,
( $false
| ~ spl0_37
| ~ spl0_101
| spl0_206 ),
inference(trivial_equality_resolution,[status(esa)],[f2272]) ).
fof(f2274,plain,
( ~ spl0_37
| ~ spl0_101
| spl0_206 ),
inference(contradiction_clause,[status(thm)],[f2273]) ).
fof(f2282,plain,
op1(e13,e10) != e10,
inference(backward_demodulation,[status(thm)],[f1785,f158]) ).
fof(f2286,plain,
( h2(e10) != h2(e10)
| spl0_164 ),
inference(backward_demodulation,[status(thm)],[f1785,f1974]) ).
fof(f2287,plain,
( $false
| spl0_164 ),
inference(trivial_equality_resolution,[status(esa)],[f2286]) ).
fof(f2288,plain,
spl0_164,
inference(contradiction_clause,[status(thm)],[f2287]) ).
fof(f2291,plain,
( e22 = e20
| ~ spl0_98
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f831,f825]) ).
fof(f2292,plain,
( $false
| ~ spl0_98
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f2291,f219]) ).
fof(f2293,plain,
( ~ spl0_98
| ~ spl0_96 ),
inference(contradiction_clause,[status(thm)],[f2292]) ).
fof(f2297,plain,
( e11 != e11
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f666,f1786]) ).
fof(f2298,plain,
( $false
| ~ spl0_57 ),
inference(trivial_equality_resolution,[status(esa)],[f2297]) ).
fof(f2299,plain,
~ spl0_57,
inference(contradiction_clause,[status(thm)],[f2298]) ).
fof(f2300,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f575,f1794]) ).
fof(f2301,plain,
~ spl0_29,
inference(contradiction_clause,[status(thm)],[f2300]) ).
fof(f2327,plain,
( e21 = e23
| ~ spl0_225
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f1401,f1940]) ).
fof(f2328,plain,
( $false
| ~ spl0_225
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f2327,f222]) ).
fof(f2329,plain,
( ~ spl0_225
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f2328]) ).
fof(f2339,plain,
( e22 != e22
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f766,f1823]) ).
fof(f2340,plain,
( $false
| ~ spl0_78 ),
inference(trivial_equality_resolution,[status(esa)],[f2339]) ).
fof(f2341,plain,
~ spl0_78,
inference(contradiction_clause,[status(thm)],[f2340]) ).
fof(f2371,plain,
( e22 != op2(e22,e20)
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f779,f167]) ).
fof(f2372,plain,
( e22 != e22
| ~ spl0_98
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f831,f2371]) ).
fof(f2373,plain,
( $false
| ~ spl0_98
| ~ spl0_82 ),
inference(trivial_equality_resolution,[status(esa)],[f2372]) ).
fof(f2374,plain,
( ~ spl0_98
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f2373]) ).
fof(f2377,plain,
( ~ spl0_83
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f2033,f781,f794]) ).
fof(f2397,plain,
( h4(e11) = op2(h4(e12),h4(e11))
| ~ spl0_37
| ~ spl0_206 ),
inference(forward_demodulation,[status(thm)],[f601,f1335]) ).
fof(f2398,plain,
( e21 = op2(h4(e12),h4(e11))
| ~ spl0_37
| ~ spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1583,f2397]) ).
fof(f2399,plain,
( e21 = op2(e22,h4(e11))
| ~ spl0_37
| ~ spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1586,f2398]) ).
fof(f2400,plain,
( e21 = op2(e22,e21)
| ~ spl0_37
| ~ spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1583,f2399]) ).
fof(f2404,plain,
( e21 = e23
| ~ spl0_37
| ~ spl0_206
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f2400,f847]) ).
fof(f2405,plain,
( $false
| ~ spl0_37
| ~ spl0_206
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f2404,f222]) ).
fof(f2406,plain,
( ~ spl0_37
| ~ spl0_206
| ~ spl0_103 ),
inference(contradiction_clause,[status(thm)],[f2405]) ).
fof(f2420,plain,
( h2(e10) = op2(h2(e13),h2(e11))
| ~ spl0_164 ),
inference(forward_demodulation,[status(thm)],[f1785,f1201]) ).
fof(f2421,plain,
( h2(e10) = op2(e21,h2(e11))
| ~ spl0_164 ),
inference(forward_demodulation,[status(thm)],[f378,f2420]) ).
fof(f2457,plain,
( e13 != op1(e12,e12)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f516,f129]) ).
fof(f2458,plain,
( ~ spl0_43
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f2457,f619,f515]) ).
fof(f2472,plain,
( ~ spl0_123
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f2266,f911,f885]) ).
fof(f2542,plain,
( h2(e12) = op2(e22,e23)
| ~ spl0_240
| ~ spl0_87 ),
inference(backward_demodulation,[status(thm)],[f1461,f2214]) ).
fof(f2543,plain,
( h2(e12) = e20
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f864,f2542]) ).
fof(f2544,plain,
( $false
| spl0_234
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f2543,f1438]) ).
fof(f2545,plain,
( spl0_234
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87 ),
inference(contradiction_clause,[status(thm)],[f2544]) ).
fof(f2549,plain,
( op1(e12,e12) != e13
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f672,f133]) ).
fof(f2572,plain,
( h4(e13) != op2(e20,e23)
| ~ spl0_15
| spl0_200 ),
inference(backward_demodulation,[status(thm)],[f529,f1661]) ).
fof(f2573,plain,
( e23 != op2(e20,e23)
| ~ spl0_15
| spl0_200 ),
inference(forward_demodulation,[status(thm)],[f386,f2572]) ).
fof(f2574,plain,
( e23 != e23
| ~ spl0_79
| ~ spl0_15
| spl0_200 ),
inference(forward_demodulation,[status(thm)],[f769,f2573]) ).
fof(f2575,plain,
( $false
| ~ spl0_79
| ~ spl0_15
| spl0_200 ),
inference(trivial_equality_resolution,[status(esa)],[f2574]) ).
fof(f2576,plain,
( ~ spl0_79
| ~ spl0_15
| spl0_200 ),
inference(contradiction_clause,[status(thm)],[f2575]) ).
fof(f2581,plain,
( e11 = e13
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f601,f607]) ).
fof(f2582,plain,
( $false
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f2581,f216]) ).
fof(f2583,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f2582]) ).
fof(f2589,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f637,f2282]) ).
fof(f2590,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f2589]) ).
fof(f2598,plain,
( e21 != e21
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f906,f1809]) ).
fof(f2599,plain,
( $false
| ~ spl0_121 ),
inference(trivial_equality_resolution,[status(esa)],[f2598]) ).
fof(f2600,plain,
~ spl0_121,
inference(contradiction_clause,[status(thm)],[f2599]) ).
fof(f2608,plain,
( op2(e20,e22) != e23
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f769,f193]) ).
fof(f2609,plain,
( h4(op1(e10,e13)) = op2(e20,h4(e13))
| ~ spl0_200 ),
inference(forward_demodulation,[status(thm)],[f1582,f1317]) ).
fof(f2610,plain,
( h4(op1(e10,e13)) = op2(e20,e23)
| ~ spl0_200 ),
inference(forward_demodulation,[status(thm)],[f386,f2609]) ).
fof(f2652,plain,
( h2(e11) != op2(h2(e11),h2(e12))
| ~ spl0_25
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f562,f1181]) ).
fof(f2654,plain,
( h2(e13) != op2(h2(e10),e21)
| ~ spl0_15
| spl0_154 ),
inference(backward_demodulation,[status(thm)],[f529,f1701]) ).
fof(f2655,plain,
( e21 != op2(h2(e10),e21)
| ~ spl0_15
| spl0_154 ),
inference(forward_demodulation,[status(thm)],[f378,f2654]) ).
fof(f2658,plain,
( h2(e10) != op2(h2(e10),h2(e12))
| ~ spl0_8
| spl0_153 ),
inference(forward_demodulation,[status(thm)],[f507,f1169]) ).
fof(f2659,plain,
( h2(e11) != op2(h2(e10),h2(e10))
| ~ spl0_1
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f484,f1163]) ).
fof(f2689,plain,
( $false
| ~ spl0_79
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f756,f2608]) ).
fof(f2690,plain,
( ~ spl0_79
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f2689]) ).
fof(f2697,plain,
( h4(e10) != op2(e20,e22)
| ~ spl0_8
| spl0_199 ),
inference(backward_demodulation,[status(thm)],[f507,f1663]) ).
fof(f2698,plain,
( e20 != op2(e20,e22)
| ~ spl0_8
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f1582,f2697]) ).
fof(f2725,plain,
( ~ spl0_41
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2176,f613,f600]) ).
fof(f2779,plain,
( h4(e13) = op2(e20,e23)
| ~ spl0_15
| ~ spl0_200 ),
inference(forward_demodulation,[status(thm)],[f529,f2610]) ).
fof(f2780,plain,
( e23 = op2(e20,e23)
| ~ spl0_15
| ~ spl0_200 ),
inference(forward_demodulation,[status(thm)],[f386,f2779]) ).
fof(f2799,plain,
( ~ spl0_43
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f2549,f619,f671]) ).
fof(f2800,plain,
( $false
| ~ spl0_8
| spl0_199
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f747,f2698]) ).
fof(f2801,plain,
( ~ spl0_8
| spl0_199
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f2800]) ).
fof(f2816,plain,
( e23 != op2(e21,e23)
| ~ spl0_15
| ~ spl0_200 ),
inference(backward_demodulation,[status(thm)],[f2780,f182]) ).
fof(f2817,plain,
( ~ spl0_95
| ~ spl0_15
| ~ spl0_200 ),
inference(split_clause,[status(thm)],[f2816,f820,f528,f1316]) ).
fof(f2818,plain,
( h2(e12) != op2(h2(e11),e21)
| ~ spl0_30
| spl0_158 ),
inference(forward_demodulation,[status(thm)],[f578,f1700]) ).
fof(f2825,plain,
( e10 = e11
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f1785,f653]) ).
fof(f2826,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f2825,f212]) ).
fof(f2827,plain,
~ spl0_53,
inference(contradiction_clause,[status(thm)],[f2826]) ).
fof(f2830,plain,
( h4(e10) = op2(h4(e10),h4(e12))
| ~ spl0_8
| ~ spl0_199 ),
inference(forward_demodulation,[status(thm)],[f507,f1314]) ).
fof(f2831,plain,
( e20 = op2(h4(e10),h4(e12))
| ~ spl0_8
| ~ spl0_199 ),
inference(forward_demodulation,[status(thm)],[f1582,f2830]) ).
fof(f2832,plain,
( e20 = op2(e20,h4(e12))
| ~ spl0_8
| ~ spl0_199 ),
inference(forward_demodulation,[status(thm)],[f1582,f2831]) ).
fof(f2833,plain,
( e20 = op2(e20,e22)
| ~ spl0_8
| ~ spl0_199 ),
inference(forward_demodulation,[status(thm)],[f1586,f2832]) ).
fof(f2895,plain,
( e22 = op2(e21,h2(e11))
| ~ spl0_240
| ~ spl0_164 ),
inference(backward_demodulation,[status(thm)],[f1461,f2421]) ).
fof(f2896,plain,
( e22 = h2(e10)
| ~ spl0_240
| ~ spl0_164 ),
inference(forward_demodulation,[status(thm)],[f2421,f2895]) ).
fof(f2965,plain,
( h4(e13) != h3(e11)
| ~ spl0_43
| spl0_207 ),
inference(backward_demodulation,[status(thm)],[f620,f1646]) ).
fof(f2966,plain,
( e23 != h3(e11)
| ~ spl0_43
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f386,f2965]) ).
fof(f2967,plain,
( e23 != e23
| ~ spl0_107
| ~ spl0_43
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1917,f2966]) ).
fof(f2968,plain,
( $false
| ~ spl0_107
| ~ spl0_43
| spl0_207 ),
inference(trivial_equality_resolution,[status(esa)],[f2967]) ).
fof(f2969,plain,
( ~ spl0_107
| ~ spl0_43
| spl0_207 ),
inference(contradiction_clause,[status(thm)],[f2968]) ).
fof(f2984,plain,
( h2(e12) != op2(e21,h2(e12))
| ~ spl0_58
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f669,f1696]) ).
fof(f2985,plain,
( e20 != op2(e21,h2(e12))
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_58
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f2543,f2984]) ).
fof(f2986,plain,
( e20 != op2(e21,e20)
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_58
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f2543,f2985]) ).
fof(f3021,plain,
( $false
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_58
| spl0_165
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[status(thm)],[f773,f2986]) ).
fof(f3022,plain,
( ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_58
| spl0_165
| ~ spl0_80 ),
inference(contradiction_clause,[status(thm)],[f3021]) ).
fof(f3056,plain,
( e21 = op2(e20,e20)
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f2053,f376]) ).
fof(f3200,plain,
( h4(e13) = op2(h4(e12),h4(e12))
| ~ spl0_43
| ~ spl0_207 ),
inference(forward_demodulation,[status(thm)],[f620,f1338]) ).
fof(f3201,plain,
( e23 = op2(h4(e12),h4(e12))
| ~ spl0_43
| ~ spl0_207 ),
inference(forward_demodulation,[status(thm)],[f386,f3200]) ).
fof(f3202,plain,
( e23 = op2(e22,h4(e12))
| ~ spl0_43
| ~ spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1586,f3201]) ).
fof(f3203,plain,
( e23 = op2(e22,e22)
| ~ spl0_43
| ~ spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1586,f3202]) ).
fof(f3245,plain,
( h2(e13) != op2(e21,h2(e10))
| ~ spl0_51
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f646,f1698]) ).
fof(f3246,plain,
( e21 != op2(e21,h2(e10))
| ~ spl0_51
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f378,f3245]) ).
fof(f3247,plain,
( e21 != op2(e21,e22)
| ~ spl0_240
| ~ spl0_164
| ~ spl0_51
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f2896,f3246]) ).
fof(f3248,plain,
( e21 != e21
| ~ spl0_89
| ~ spl0_240
| ~ spl0_164
| ~ spl0_51
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f802,f3247]) ).
fof(f3249,plain,
( $false
| ~ spl0_89
| ~ spl0_240
| ~ spl0_164
| ~ spl0_51
| spl0_163 ),
inference(trivial_equality_resolution,[status(esa)],[f3248]) ).
fof(f3250,plain,
( ~ spl0_89
| ~ spl0_240
| ~ spl0_164
| ~ spl0_51
| spl0_163 ),
inference(contradiction_clause,[status(thm)],[f3249]) ).
fof(f3251,plain,
( h2(e10) != op2(h2(e12),e21)
| ~ spl0_44
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f624,f1699]) ).
fof(f3252,plain,
( e22 != op2(h2(e12),e21)
| ~ spl0_240
| ~ spl0_164
| ~ spl0_44
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f2896,f3251]) ).
fof(f3253,plain,
( e22 != op2(e20,e21)
| ~ spl0_108
| ~ spl0_87
| ~ spl0_240
| ~ spl0_164
| ~ spl0_44
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f2543,f3252]) ).
fof(f3254,plain,
( e22 != e22
| ~ spl0_108
| ~ spl0_87
| ~ spl0_240
| ~ spl0_164
| ~ spl0_44
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f1575,f3253]) ).
fof(f3255,plain,
( $false
| ~ spl0_108
| ~ spl0_87
| ~ spl0_240
| ~ spl0_164
| ~ spl0_44
| spl0_162 ),
inference(trivial_equality_resolution,[status(esa)],[f3254]) ).
fof(f3256,plain,
( ~ spl0_108
| ~ spl0_87
| ~ spl0_240
| ~ spl0_164
| ~ spl0_44
| spl0_162 ),
inference(contradiction_clause,[status(thm)],[f3255]) ).
fof(f3257,plain,
( h2(e13) != op2(h2(e12),h2(e12))
| ~ spl0_43
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f620,f1193]) ).
fof(f3258,plain,
( e21 != op2(h2(e12),h2(e12))
| ~ spl0_43
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f378,f3257]) ).
fof(f3259,plain,
( e21 != op2(e20,h2(e12))
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_43
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f2543,f3258]) ).
fof(f3260,plain,
( e21 != op2(e20,e20)
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_43
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f2543,f3259]) ).
fof(f3261,plain,
( e21 != e21
| ~ spl0_65
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_43
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f3056,f3260]) ).
fof(f3262,plain,
( $false
| ~ spl0_65
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_43
| spl0_161 ),
inference(trivial_equality_resolution,[status(esa)],[f3261]) ).
fof(f3263,plain,
( ~ spl0_65
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_43
| spl0_161 ),
inference(contradiction_clause,[status(thm)],[f3262]) ).
fof(f3264,plain,
( h2(e11) != op2(h2(e12),h2(e11))
| ~ spl0_37
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f601,f1190]) ).
fof(f3265,plain,
( e23 != op2(h2(e12),h2(e11))
| ~ spl0_87
| ~ spl0_37
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f1920,f3264]) ).
fof(f3266,plain,
( e23 != op2(e20,h2(e11))
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_37
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f2543,f3265]) ).
fof(f3267,plain,
( e23 != op2(e20,e23)
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_37
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f1920,f3266]) ).
fof(f3268,plain,
( e23 != e23
| ~ spl0_15
| ~ spl0_200
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_37
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f2780,f3267]) ).
fof(f3269,plain,
( $false
| ~ spl0_15
| ~ spl0_200
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_37
| spl0_160 ),
inference(trivial_equality_resolution,[status(esa)],[f3268]) ).
fof(f3270,plain,
( ~ spl0_15
| ~ spl0_200
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_37
| spl0_160 ),
inference(contradiction_clause,[status(thm)],[f3269]) ).
fof(f3271,plain,
( h2(e12) != op2(h2(e12),h2(e10))
| ~ spl0_34
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f591,f1187]) ).
fof(f3272,plain,
( e20 != op2(h2(e12),h2(e10))
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_34
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f2543,f3271]) ).
fof(f3273,plain,
( e20 != op2(e20,h2(e10))
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_34
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f2543,f3272]) ).
fof(f3274,plain,
( e20 != op2(e20,e22)
| ~ spl0_164
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_34
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f2896,f3273]) ).
fof(f3275,plain,
( e20 != e20
| ~ spl0_8
| ~ spl0_199
| ~ spl0_164
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_34
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f2833,f3274]) ).
fof(f3276,plain,
( $false
| ~ spl0_8
| ~ spl0_199
| ~ spl0_164
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_34
| spl0_159 ),
inference(trivial_equality_resolution,[status(esa)],[f3275]) ).
fof(f3277,plain,
( ~ spl0_8
| ~ spl0_199
| ~ spl0_164
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_34
| spl0_159 ),
inference(contradiction_clause,[status(thm)],[f3276]) ).
fof(f3278,plain,
( e20 != op2(h2(e11),e21)
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_30
| spl0_158 ),
inference(forward_demodulation,[status(thm)],[f2543,f2818]) ).
fof(f3279,plain,
( e20 != op2(e23,e21)
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_30
| spl0_158 ),
inference(forward_demodulation,[status(thm)],[f1920,f3278]) ).
fof(f3280,plain,
( e20 != e20
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_30
| spl0_158 ),
inference(forward_demodulation,[status(thm)],[f1808,f3279]) ).
fof(f3281,plain,
( $false
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_30
| spl0_158 ),
inference(trivial_equality_resolution,[status(esa)],[f3280]) ).
fof(f3282,plain,
( ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_30
| spl0_158 ),
inference(contradiction_clause,[status(thm)],[f3281]) ).
fof(f3283,plain,
( e23 != op2(h2(e11),h2(e12))
| ~ spl0_87
| ~ spl0_25
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f1920,f2652]) ).
fof(f3284,plain,
( e23 != op2(e23,h2(e12))
| ~ spl0_87
| ~ spl0_25
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f1920,f3283]) ).
fof(f3285,plain,
( e23 != op2(e23,e20)
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_25
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f2543,f3284]) ).
fof(f3286,plain,
( e23 != e23
| ~ spl0_115
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_25
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f886,f3285]) ).
fof(f3287,plain,
( $false
| ~ spl0_115
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_25
| spl0_157 ),
inference(trivial_equality_resolution,[status(esa)],[f3286]) ).
fof(f3288,plain,
( ~ spl0_115
| ~ spl0_108
| ~ spl0_240
| ~ spl0_87
| ~ spl0_25
| spl0_157 ),
inference(contradiction_clause,[status(thm)],[f3287]) ).
fof(f3289,plain,
( h2(e10) != op2(h2(e11),h2(e10))
| ~ spl0_16
| spl0_155 ),
inference(forward_demodulation,[status(thm)],[f533,f1175]) ).
fof(f3290,plain,
( e22 != op2(h2(e11),h2(e10))
| ~ spl0_240
| ~ spl0_164
| ~ spl0_16
| spl0_155 ),
inference(forward_demodulation,[status(thm)],[f2896,f3289]) ).
fof(f3291,plain,
( e22 != op2(e23,h2(e10))
| ~ spl0_87
| ~ spl0_240
| ~ spl0_164
| ~ spl0_16
| spl0_155 ),
inference(forward_demodulation,[status(thm)],[f1920,f3290]) ).
fof(f3292,plain,
( e22 != op2(e23,e22)
| ~ spl0_87
| ~ spl0_240
| ~ spl0_164
| ~ spl0_16
| spl0_155 ),
inference(forward_demodulation,[status(thm)],[f2896,f3291]) ).
fof(f3293,plain,
( e22 != e22
| ~ spl0_122
| ~ spl0_87
| ~ spl0_240
| ~ spl0_164
| ~ spl0_16
| spl0_155 ),
inference(forward_demodulation,[status(thm)],[f909,f3292]) ).
fof(f3294,plain,
( $false
| ~ spl0_122
| ~ spl0_87
| ~ spl0_240
| ~ spl0_164
| ~ spl0_16
| spl0_155 ),
inference(trivial_equality_resolution,[status(esa)],[f3293]) ).
fof(f3295,plain,
( ~ spl0_122
| ~ spl0_87
| ~ spl0_240
| ~ spl0_164
| ~ spl0_16
| spl0_155 ),
inference(contradiction_clause,[status(thm)],[f3294]) ).
fof(f3299,plain,
( e21 != op2(e22,e21)
| ~ spl0_240
| ~ spl0_15
| spl0_154 ),
inference(backward_demodulation,[status(thm)],[f1461,f2655]) ).
fof(f3300,plain,
( ~ spl0_101
| ~ spl0_240
| ~ spl0_15
| spl0_154 ),
inference(split_clause,[status(thm)],[f3299,f840,f1460,f528,f1170]) ).
fof(f3301,plain,
( e22 != op2(h2(e10),h2(e12))
| ~ spl0_240
| ~ spl0_164
| ~ spl0_8
| spl0_153 ),
inference(forward_demodulation,[status(thm)],[f2896,f2658]) ).
fof(f3302,plain,
( e22 != op2(e22,h2(e12))
| ~ spl0_240
| ~ spl0_164
| ~ spl0_8
| spl0_153 ),
inference(forward_demodulation,[status(thm)],[f2896,f3301]) ).
fof(f3303,plain,
( e22 != op2(e22,e20)
| ~ spl0_108
| ~ spl0_87
| ~ spl0_240
| ~ spl0_164
| ~ spl0_8
| spl0_153 ),
inference(forward_demodulation,[status(thm)],[f2543,f3302]) ).
fof(f3304,plain,
( e22 != e22
| ~ spl0_98
| ~ spl0_108
| ~ spl0_87
| ~ spl0_240
| ~ spl0_164
| ~ spl0_8
| spl0_153 ),
inference(forward_demodulation,[status(thm)],[f831,f3303]) ).
fof(f3305,plain,
( $false
| ~ spl0_98
| ~ spl0_108
| ~ spl0_87
| ~ spl0_240
| ~ spl0_164
| ~ spl0_8
| spl0_153 ),
inference(trivial_equality_resolution,[status(esa)],[f3304]) ).
fof(f3306,plain,
( ~ spl0_98
| ~ spl0_108
| ~ spl0_87
| ~ spl0_240
| ~ spl0_164
| ~ spl0_8
| spl0_153 ),
inference(contradiction_clause,[status(thm)],[f3305]) ).
fof(f3358,plain,
( e21 = e23
| ~ spl0_89
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f802,f808]) ).
fof(f3359,plain,
( $false
| ~ spl0_89
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[status(thm)],[f3358,f222]) ).
fof(f3360,plain,
( ~ spl0_89
| ~ spl0_91 ),
inference(contradiction_clause,[status(thm)],[f3359]) ).
fof(f3364,plain,
( e23 != op2(h2(e10),h2(e10))
| ~ spl0_87
| ~ spl0_1
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f1920,f2659]) ).
fof(f3365,plain,
( e23 != op2(e22,h2(e10))
| ~ spl0_240
| ~ spl0_164
| ~ spl0_87
| ~ spl0_1
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f2896,f3364]) ).
fof(f3366,plain,
( e23 != op2(e22,e22)
| ~ spl0_240
| ~ spl0_164
| ~ spl0_87
| ~ spl0_1
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f2896,f3365]) ).
fof(f3367,plain,
( e23 != h3(e11)
| ~ spl0_240
| ~ spl0_164
| ~ spl0_87
| ~ spl0_1
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f384,f3366]) ).
fof(f3457,plain,
( e23 = h3(e11)
| ~ spl0_43
| ~ spl0_207 ),
inference(forward_demodulation,[status(thm)],[f384,f3203]) ).
fof(f3458,plain,
( $false
| ~ spl0_240
| ~ spl0_164
| ~ spl0_87
| ~ spl0_1
| spl0_151
| ~ spl0_43
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[status(thm)],[f3457,f3367]) ).
fof(f3459,plain,
( ~ spl0_240
| ~ spl0_164
| ~ spl0_87
| ~ spl0_1
| spl0_151
| ~ spl0_43
| ~ spl0_207 ),
inference(contradiction_clause,[status(thm)],[f3458]) ).
fof(f3516,plain,
( e22 = e23
| ~ spl0_98
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f831,f834]) ).
fof(f3517,plain,
( $false
| ~ spl0_98
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f3516,f223]) ).
fof(f3518,plain,
( ~ spl0_98
| ~ spl0_99 ),
inference(contradiction_clause,[status(thm)],[f3517]) ).
fof(f3604,plain,
( e20 = e21
| ~ spl0_117 ),
inference(forward_demodulation,[status(thm)],[f1808,f893]) ).
fof(f3605,plain,
( $false
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f3604,f218]) ).
fof(f3606,plain,
~ spl0_117,
inference(contradiction_clause,[status(thm)],[f3605]) ).
fof(f3607,plain,
$false,
inference(sat_refutation,[status(thm)],[f622,f674,f688,f689,f690,f694,f699,f703,f707,f708,f713,f715,f717,f718,f771,f784,f823,f914,f928,f930,f935,f937,f938,f939,f943,f944,f948,f951,f960,f967,f971,f973,f981,f994,f999,f1002,f1005,f1011,f1015,f1023,f1024,f1037,f1045,f1053,f1057,f1058,f1066,f1069,f1079,f1225,f1439,f1459,f1463,f1613,f1695,f1705,f1754,f1760,f1766,f1799,f1822,f1897,f1922,f1946,f1952,f1956,f1969,f1972,f1986,f2012,f2039,f2052,f2055,f2058,f2090,f2094,f2124,f2140,f2158,f2173,f2210,f2262,f2274,f2288,f2293,f2299,f2301,f2329,f2341,f2374,f2377,f2406,f2458,f2472,f2545,f2576,f2583,f2590,f2600,f2690,f2725,f2799,f2801,f2817,f2827,f2969,f3022,f3250,f3256,f3263,f3270,f3277,f3282,f3288,f3295,f3300,f3306,f3360,f3459,f3518,f3606]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG111+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 : n031.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 : Tue Apr 30 00:09:58 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.19/0.54 % Refutation found
% 0.19/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.55 % Elapsed time: 0.207440 seconds
% 0.19/0.55 % CPU time: 1.485108 seconds
% 0.19/0.55 % Total memory used: 41.553 MB
% 0.19/0.55 % Net memory used: 40.632 MB
%------------------------------------------------------------------------------