TSTP Solution File: ALG061+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG061+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:09:23 EDT 2024
% Result : Theorem 0.16s 0.49s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 117
% Syntax : Number of formulae : 580 ( 106 unt; 0 def)
% Number of atoms : 2031 (1243 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 2213 ( 762 ~;1007 |; 334 &)
% ( 99 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 112 ( 110 usr; 111 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(e4,op(e4,e4)) = e4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(e4,op(e4,e4)) = e4 ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f15,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f20,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f21,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f26,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f36,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f37,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f38,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f39,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f40,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f41,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f42,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f43,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f44,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f48,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f59,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f67,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f68,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f70,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f74,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f75,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f76,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f91,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f92,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f97,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f105,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f106,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f109,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f110,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f111,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f112,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f115,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f117,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f120,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f121,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f122,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f132,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f138,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f141,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f143,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f145,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f147,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f161,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f162,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f165,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f166,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f169,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f170,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f173,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f178,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f182,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f186,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f192,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f193,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f195,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f196,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f197,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f198,plain,
e0 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f199,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f200,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f201,plain,
e1 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f202,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f203,plain,
e2 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f204,plain,
e3 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f205,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f206,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f207,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f208,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f209,plain,
( pd0_0
=> ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f210,plain,
( pd0_1
=> ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f211,plain,
( pd0_2
=> ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f212,plain,
( pd0_3
=> ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f213,plain,
( pd0_4
=> ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f214,plain,
( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( pd0_0
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( pd0_1
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( pd0_2
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( pd0_3
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( pd0_4
| ( op(e4,op(e4,e4)) != e4
& op(e4,op(e4,e4)) = e4 ) ) ),
inference(formula_renaming,[status(thm)],[f8,f213,f212,f211,f210,f209]) ).
fof(f215,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f214]) ).
fof(f216,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f214]) ).
fof(f224,plain,
( pd0_2
| op(e4,op(e4,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f214]) ).
fof(f225,plain,
( pd0_2
| op(e2,op(e4,e2)) = e4 ),
inference(cnf_transformation,[status(esa)],[f214]) ).
fof(f228,plain,
( pd0_4
| op(e4,op(e4,e4)) != e4 ),
inference(cnf_transformation,[status(esa)],[f214]) ).
fof(f229,plain,
( pd0_4
| op(e4,op(e4,e4)) = e4 ),
inference(cnf_transformation,[status(esa)],[f214]) ).
fof(f240,plain,
( ~ pd0_2
| ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f211]) ).
fof(f241,plain,
( pd0_7
=> ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 ) ) ),
introduced(predicate_definition,[f240]) ).
fof(f242,plain,
( ~ pd0_2
| pd0_7
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f240,f241]) ).
fof(f243,plain,
( ~ pd0_2
| pd0_7
| op(e3,op(e3,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f244,plain,
( ~ pd0_2
| pd0_7
| op(e2,op(e3,e2)) = e3 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f250,plain,
( ~ pd0_4
| ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f213]) ).
fof(f251,plain,
( pd0_9
=> ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 ) ) ),
introduced(predicate_definition,[f250]) ).
fof(f252,plain,
( ~ pd0_4
| pd0_9
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f250,f251]) ).
fof(f254,plain,
( ~ pd0_4
| pd0_9
| op(e4,op(e3,e4)) = e3 ),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f265,plain,
( ~ pd0_7
| ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f241]) ).
fof(f266,plain,
( pd0_12
=> ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 ) ) ),
introduced(predicate_definition,[f265]) ).
fof(f267,plain,
( ~ pd0_7
| pd0_12
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 ) ),
inference(formula_renaming,[status(thm)],[f265,f266]) ).
fof(f268,plain,
( ~ pd0_7
| pd0_12
| op(e2,op(e2,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f269,plain,
( ~ pd0_7
| pd0_12
| op(e2,op(e2,e2)) = e2 ),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f275,plain,
( ~ pd0_9
| ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f251]) ).
fof(f276,plain,
( pd0_14
=> ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 ) ) ),
introduced(predicate_definition,[f275]) ).
fof(f277,plain,
( ~ pd0_9
| pd0_14
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 ) ),
inference(formula_renaming,[status(thm)],[f275,f276]) ).
fof(f279,plain,
( ~ pd0_9
| pd0_14
| op(e4,op(e2,e4)) = e2 ),
inference(cnf_transformation,[status(esa)],[f277]) ).
fof(f290,plain,
( ~ pd0_12
| ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f266]) ).
fof(f291,plain,
( pd0_17
=> ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 ) ),
introduced(predicate_definition,[f290]) ).
fof(f292,plain,
( ~ pd0_12
| pd0_17
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 ) ),
inference(formula_renaming,[status(thm)],[f290,f291]) ).
fof(f293,plain,
( ~ pd0_12
| pd0_17
| op(e1,op(e1,e2)) != e2 ),
inference(cnf_transformation,[status(esa)],[f292]) ).
fof(f300,plain,
( ~ pd0_14
| ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f276]) ).
fof(f301,plain,
( pd0_19
=> ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 ) ),
introduced(predicate_definition,[f300]) ).
fof(f302,plain,
( ~ pd0_14
| pd0_19
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 ) ),
inference(formula_renaming,[status(thm)],[f300,f301]) ).
fof(f304,plain,
( ~ pd0_14
| pd0_19
| op(e4,op(e1,e4)) = e1 ),
inference(cnf_transformation,[status(esa)],[f302]) ).
fof(f311,plain,
( ~ pd0_17
| ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f291]) ).
fof(f313,plain,
( ~ pd0_17
| op(e2,op(e0,e2)) = e0 ),
inference(cnf_transformation,[status(esa)],[f311]) ).
fof(f317,plain,
( ~ pd0_19
| ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f301]) ).
fof(f319,plain,
( ~ pd0_19
| op(e4,op(e0,e4)) = e0 ),
inference(cnf_transformation,[status(esa)],[f317]) ).
fof(f320,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f321,plain,
( op(e0,e0) = e0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f324,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f339,plain,
( spl0_6
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f341,plain,
( op(e0,e1) != e1
| spl0_6 ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f348,plain,
( spl0_9
<=> op(e0,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f349,plain,
( op(e0,e1) = e4
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f352,plain,
( spl0_10
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f353,plain,
( op(e0,e2) = e0
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( spl0_11
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f356,plain,
( op(e0,e2) = e1
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( spl0_12
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f359,plain,
( op(e0,e2) = e2
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f364,plain,
( spl0_14
<=> op(e0,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f365,plain,
( op(e0,e2) = e4
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f368,plain,
( spl0_15
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f369,plain,
( op(e0,e3) = e0
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f390,plain,
( spl0_22
<=> op(e0,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f391,plain,
( op(e0,e4) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( spl0_23
<=> op(e0,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( op(e0,e4) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( spl0_24
<=> op(e0,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f397,plain,
( op(e0,e4) = e4
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f403,plain,
( spl0_26
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f404,plain,
( op(e1,e0) = e1
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( spl0_27
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f407,plain,
( op(e1,e0) = e2
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f416,plain,
( spl0_30
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f417,plain,
( op(e1,e1) = e0
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( spl0_31
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f420,plain,
( op(e1,e1) = e1
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( spl0_32
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f423,plain,
( op(e1,e1) = e2
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,plain,
( spl0_33
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f426,plain,
( op(e1,e1) = e3
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( spl0_34
<=> op(e1,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f431,plain,
( spl0_30
| spl0_31
| spl0_32
| spl0_33
| spl0_34 ),
inference(split_clause,[status(thm)],[f15,f416,f419,f422,f425,f428]) ).
fof(f432,plain,
( spl0_35
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f433,plain,
( op(e1,e2) = e0
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( spl0_36
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f436,plain,
( op(e1,e2) = e1
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,plain,
( spl0_37
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f439,plain,
( op(e1,e2) = e2
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,plain,
( spl0_38
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f442,plain,
( op(e1,e2) = e3
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( spl0_39
<=> op(e1,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f445,plain,
( op(e1,e2) = e4
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( spl0_35
| spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f16,f432,f435,f438,f441,f444]) ).
fof(f448,plain,
( spl0_40
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f449,plain,
( op(e1,e3) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( spl0_41
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f452,plain,
( op(e1,e3) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( spl0_42
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f455,plain,
( op(e1,e3) = e2
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f470,plain,
( spl0_47
<=> op(e1,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f471,plain,
( op(e1,e4) = e2
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( spl0_48
<=> op(e1,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f474,plain,
( op(e1,e4) = e3
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( spl0_49
<=> op(e1,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f477,plain,
( op(e1,e4) = e4
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f483,plain,
( spl0_51
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( op(e2,e0) = e1
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f489,plain,
( spl0_53
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f490,plain,
( op(e2,e0) = e3
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f496,plain,
( spl0_55
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f497,plain,
( op(e2,e1) = e0
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( spl0_56
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f500,plain,
( op(e2,e1) = e1
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( spl0_57
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f505,plain,
( spl0_58
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f506,plain,
( op(e2,e1) = e3
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( spl0_59
<=> op(e2,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f509,plain,
( op(e2,e1) = e4
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( spl0_55
| spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f20,f496,f499,f502,f505,f508]) ).
fof(f512,plain,
( spl0_60
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f513,plain,
( op(e2,e2) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( spl0_61
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f516,plain,
( op(e2,e2) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( spl0_62
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f519,plain,
( op(e2,e2) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,plain,
( spl0_63
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f524,plain,
( spl0_64
<=> op(e2,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f525,plain,
( op(e2,e2) = e4
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(split_clause,[status(thm)],[f21,f512,f515,f518,f521,f524]) ).
fof(f528,plain,
( spl0_65
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f529,plain,
( op(e2,e3) = e0
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( spl0_66
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f547,plain,
( spl0_71
<=> op(e2,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f548,plain,
( op(e2,e4) = e1
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f553,plain,
( spl0_73
<=> op(e2,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f554,plain,
( op(e2,e4) = e3
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f560,plain,
( spl0_75
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f563,plain,
( spl0_76
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f564,plain,
( op(e3,e0) = e1
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f576,plain,
( spl0_80
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f588,plain,
( spl0_84
<=> op(e3,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f589,plain,
( op(e3,e1) = e4
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f592,plain,
( spl0_85
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f593,plain,
( op(e3,e2) = e0
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,plain,
( spl0_86
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f596,plain,
( op(e3,e2) = e1
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( spl0_87
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f599,plain,
( op(e3,e2) = e2
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,plain,
( spl0_88
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f602,plain,
( op(e3,e2) = e3
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,plain,
( spl0_89
<=> op(e3,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f605,plain,
( op(e3,e2) = e4
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,plain,
( spl0_85
| spl0_86
| spl0_87
| spl0_88
| spl0_89 ),
inference(split_clause,[status(thm)],[f26,f592,f595,f598,f601,f604]) ).
fof(f608,plain,
( spl0_90
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f609,plain,
( op(e3,e3) = e0
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,plain,
( spl0_91
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f612,plain,
( op(e3,e3) = e1
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f617,plain,
( spl0_93
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f618,plain,
( op(e3,e3) = e3
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f624,plain,
( spl0_95
<=> op(e3,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f625,plain,
( op(e3,e4) = e0
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f633,plain,
( spl0_98
<=> op(e3,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f643,plain,
( spl0_101
<=> op(e4,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f644,plain,
( op(e4,e0) = e1
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f649,plain,
( spl0_103
<=> op(e4,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f650,plain,
( op(e4,e0) = e3
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,plain,
( spl0_104
<=> op(e4,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f653,plain,
( op(e4,e0) = e4
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f665,plain,
( spl0_108
<=> op(e4,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f666,plain,
( op(e4,e1) = e3
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f672,plain,
( spl0_110
<=> op(e4,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f673,plain,
( op(e4,e2) = e0
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,plain,
( spl0_111
<=> op(e4,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f676,plain,
( op(e4,e2) = e1
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,plain,
( spl0_112
<=> op(e4,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f679,plain,
( op(e4,e2) = e2
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( spl0_113
<=> op(e4,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( op(e4,e2) = e3
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,plain,
( spl0_114
<=> op(e4,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f685,plain,
( op(e4,e2) = e4
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( spl0_110
| spl0_111
| spl0_112
| spl0_113
| spl0_114 ),
inference(split_clause,[status(thm)],[f31,f672,f675,f678,f681,f684]) ).
fof(f688,plain,
( spl0_115
<=> op(e4,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f689,plain,
( op(e4,e3) = e0
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f697,plain,
( spl0_118
<=> op(e4,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f698,plain,
( op(e4,e3) = e3
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f704,plain,
( spl0_120
<=> op(e4,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f705,plain,
( op(e4,e4) = e0
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f707,plain,
( spl0_121
<=> op(e4,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f708,plain,
( op(e4,e4) = e1
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f713,plain,
( spl0_123
<=> op(e4,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f714,plain,
( op(e4,e4) = e3
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f720,plain,
( spl0_125
<=> unit = e0 ),
introduced(split_symbol_definition) ).
fof(f721,plain,
( unit = e0
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( spl0_126
<=> unit = e1 ),
introduced(split_symbol_definition) ).
fof(f724,plain,
( unit = e1
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( spl0_127
<=> unit = e2 ),
introduced(split_symbol_definition) ).
fof(f727,plain,
( unit = e2
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( spl0_128
<=> unit = e3 ),
introduced(split_symbol_definition) ).
fof(f730,plain,
( unit = e3
| ~ spl0_128 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,plain,
( spl0_129
<=> unit = e4 ),
introduced(split_symbol_definition) ).
fof(f733,plain,
( unit = e4
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( spl0_125
| spl0_126
| spl0_127
| spl0_128
| spl0_129 ),
inference(split_clause,[status(thm)],[f44,f720,f723,f726,f729,f732]) ).
fof(f739,plain,
( spl0_1
| spl0_26
| spl0_51
| spl0_76
| spl0_101 ),
inference(split_clause,[status(thm)],[f48,f323,f403,f483,f563,f643]) ).
fof(f750,plain,
( spl0_27
| spl0_32
| spl0_37
| spl0_42
| spl0_47 ),
inference(split_clause,[status(thm)],[f59,f406,f422,f438,f454,f470]) ).
fof(f758,plain,
( spl0_51
| spl0_56
| spl0_61
| spl0_66
| spl0_71 ),
inference(split_clause,[status(thm)],[f67,f483,f499,f515,f531,f547]) ).
fof(f759,plain,
( spl0_11
| spl0_36
| spl0_61
| spl0_86
| spl0_111 ),
inference(split_clause,[status(thm)],[f68,f355,f435,f515,f595,f675]) ).
fof(f761,plain,
( spl0_12
| spl0_37
| spl0_62
| spl0_87
| spl0_112 ),
inference(split_clause,[status(thm)],[f70,f358,f438,f518,f598,f678]) ).
fof(f765,plain,
( spl0_14
| spl0_39
| spl0_64
| spl0_89
| spl0_114 ),
inference(split_clause,[status(thm)],[f74,f364,f444,f524,f604,f684]) ).
fof(f766,plain,
( spl0_75
| spl0_80
| spl0_85
| spl0_90
| spl0_95 ),
inference(split_clause,[status(thm)],[f75,f560,f576,f592,f608,f624]) ).
fof(f767,plain,
( spl0_15
| spl0_40
| spl0_65
| spl0_90
| spl0_115 ),
inference(split_clause,[status(thm)],[f76,f368,f448,f528,f608,f688]) ).
fof(f782,plain,
( spl0_103
| spl0_108
| spl0_113
| spl0_118
| spl0_123 ),
inference(split_clause,[status(thm)],[f91,f649,f665,f681,f697,f713]) ).
fof(f783,plain,
( spl0_23
| spl0_48
| spl0_73
| spl0_98
| spl0_123 ),
inference(split_clause,[status(thm)],[f92,f393,f473,f553,f633,f713]) ).
fof(f786,plain,
( spl0_0
| spl0_30
| spl0_60
| spl0_90
| spl0_120 ),
inference(split_clause,[status(thm)],[f215,f320,f416,f512,f608,f704]) ).
fof(f787,plain,
( spl0_1
| spl0_31
| spl0_61
| spl0_91
| spl0_121 ),
inference(split_clause,[status(thm)],[f216,f323,f419,f515,f611,f707]) ).
fof(f813,plain,
( spl0_136
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f816,plain,
( spl0_137
<=> op(e4,op(e4,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f818,plain,
( op(e4,op(e4,e2)) != e2
| spl0_137 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,plain,
( spl0_136
| ~ spl0_137 ),
inference(split_clause,[status(thm)],[f224,f813,f816]) ).
fof(f820,plain,
( spl0_138
<=> op(e2,op(e4,e2)) = e4 ),
introduced(split_symbol_definition) ).
fof(f821,plain,
( op(e2,op(e4,e2)) = e4
| ~ spl0_138 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( spl0_136
| spl0_138 ),
inference(split_clause,[status(thm)],[f225,f813,f820]) ).
fof(f835,plain,
( spl0_142
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f838,plain,
( spl0_143
<=> op(e4,op(e4,e4)) = e4 ),
introduced(split_symbol_definition) ).
fof(f841,plain,
( spl0_142
| ~ spl0_143 ),
inference(split_clause,[status(thm)],[f228,f835,f838]) ).
fof(f842,plain,
( spl0_142
| spl0_143 ),
inference(split_clause,[status(thm)],[f229,f835,f838]) ).
fof(f865,plain,
( spl0_150
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f868,plain,
( spl0_151
<=> op(e3,op(e3,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f871,plain,
( ~ spl0_136
| spl0_150
| ~ spl0_151 ),
inference(split_clause,[status(thm)],[f243,f813,f865,f868]) ).
fof(f872,plain,
( spl0_152
<=> op(e2,op(e3,e2)) = e3 ),
introduced(split_symbol_definition) ).
fof(f875,plain,
( ~ spl0_136
| spl0_150
| spl0_152 ),
inference(split_clause,[status(thm)],[f244,f813,f865,f872]) ).
fof(f884,plain,
( spl0_155
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f891,plain,
( spl0_157
<=> op(e4,op(e3,e4)) = e3 ),
introduced(split_symbol_definition) ).
fof(f892,plain,
( op(e4,op(e3,e4)) = e3
| ~ spl0_157 ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f894,plain,
( ~ spl0_142
| spl0_155
| spl0_157 ),
inference(split_clause,[status(thm)],[f254,f835,f884,f891]) ).
fof(f917,plain,
( spl0_164
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f920,plain,
( spl0_165
<=> op(e2,op(e2,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f923,plain,
( ~ spl0_150
| spl0_164
| ~ spl0_165 ),
inference(split_clause,[status(thm)],[f268,f865,f917,f920]) ).
fof(f924,plain,
( ~ spl0_150
| spl0_164
| spl0_165 ),
inference(split_clause,[status(thm)],[f269,f865,f917,f920]) ).
fof(f936,plain,
( spl0_169
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f943,plain,
( spl0_171
<=> op(e4,op(e2,e4)) = e2 ),
introduced(split_symbol_definition) ).
fof(f944,plain,
( op(e4,op(e2,e4)) = e2
| ~ spl0_171 ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f946,plain,
( ~ spl0_155
| spl0_169
| spl0_171 ),
inference(split_clause,[status(thm)],[f279,f884,f936,f943]) ).
fof(f966,plain,
( spl0_177
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f969,plain,
( spl0_178
<=> op(e1,op(e1,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f971,plain,
( op(e1,op(e1,e2)) != e2
| spl0_178 ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,plain,
( ~ spl0_164
| spl0_177
| ~ spl0_178 ),
inference(split_clause,[status(thm)],[f293,f917,f966,f969]) ).
fof(f988,plain,
( spl0_183
<=> pd0_19 ),
introduced(split_symbol_definition) ).
fof(f995,plain,
( spl0_185
<=> op(e4,op(e1,e4)) = e1 ),
introduced(split_symbol_definition) ).
fof(f996,plain,
( op(e4,op(e1,e4)) = e1
| ~ spl0_185 ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f998,plain,
( ~ spl0_169
| spl0_183
| spl0_185 ),
inference(split_clause,[status(thm)],[f304,f936,f988,f995]) ).
fof(f1016,plain,
( spl0_190
<=> op(e2,op(e0,e2)) = e0 ),
introduced(split_symbol_definition) ).
fof(f1017,plain,
( op(e2,op(e0,e2)) = e0
| ~ spl0_190 ),
inference(component_clause,[status(thm)],[f1016]) ).
fof(f1019,plain,
( ~ spl0_177
| spl0_190 ),
inference(split_clause,[status(thm)],[f313,f966,f1016]) ).
fof(f1032,plain,
( spl0_194
<=> op(e4,op(e0,e4)) = e0 ),
introduced(split_symbol_definition) ).
fof(f1033,plain,
( op(e4,op(e0,e4)) = e0
| ~ spl0_194 ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1035,plain,
( ~ spl0_183
| spl0_194 ),
inference(split_clause,[status(thm)],[f319,f988,f1032]) ).
fof(f1036,plain,
e3 = op(e2,op(op(e1,e1),op(e1,e1))),
inference(forward_demodulation,[status(thm)],[f206,f207]) ).
fof(f1037,plain,
e3 = op(e2,e2),
inference(forward_demodulation,[status(thm)],[f206,f1036]) ).
fof(f1038,plain,
( e3 = e4
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f1037,f525]) ).
fof(f1039,plain,
( $false
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f1038,f204]) ).
fof(f1040,plain,
~ spl0_64,
inference(contradiction_clause,[status(thm)],[f1039]) ).
fof(f1047,plain,
( e4 = e3
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f208,f426]) ).
fof(f1048,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f1047,f204]) ).
fof(f1049,plain,
~ spl0_33,
inference(contradiction_clause,[status(thm)],[f1048]) ).
fof(f1053,plain,
( e3 = e2
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f1037,f519]) ).
fof(f1054,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f1053,f202]) ).
fof(f1055,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f1054]) ).
fof(f1056,plain,
( e4 = e2
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f208,f423]) ).
fof(f1057,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f1056,f203]) ).
fof(f1058,plain,
~ spl0_32,
inference(contradiction_clause,[status(thm)],[f1057]) ).
fof(f1065,plain,
( e3 = e1
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f1037,f516]) ).
fof(f1066,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f200]) ).
fof(f1067,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f1066]) ).
fof(f1068,plain,
( e4 = e1
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f208,f420]) ).
fof(f1069,plain,
( $false
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1068,f201]) ).
fof(f1070,plain,
~ spl0_31,
inference(contradiction_clause,[status(thm)],[f1069]) ).
fof(f1074,plain,
( e3 = e0
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f1037,f513]) ).
fof(f1075,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f1074,f197]) ).
fof(f1076,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f1075]) ).
fof(f1077,plain,
( e4 = e0
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f208,f417]) ).
fof(f1078,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f1077,f198]) ).
fof(f1079,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f1078]) ).
fof(f1089,plain,
( e4 = e3
| ~ spl0_24
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f397,f394]) ).
fof(f1090,plain,
( $false
| ~ spl0_24
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1089,f204]) ).
fof(f1091,plain,
( ~ spl0_24
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1090]) ).
fof(f1101,plain,
( e4 = e3
| ~ spl0_104
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f653,f650]) ).
fof(f1102,plain,
( $false
| ~ spl0_104
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f1101,f204]) ).
fof(f1103,plain,
( ~ spl0_104
| ~ spl0_103 ),
inference(contradiction_clause,[status(thm)],[f1102]) ).
fof(f1149,plain,
( e2 = e1
| ~ spl0_42
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f455,f452]) ).
fof(f1150,plain,
( $false
| ~ spl0_42
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f1149,f199]) ).
fof(f1151,plain,
( ~ spl0_42
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f1150]) ).
fof(f1155,plain,
( e2 = e1
| ~ spl0_87
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f599,f596]) ).
fof(f1156,plain,
( $false
| ~ spl0_87
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f1155,f199]) ).
fof(f1157,plain,
( ~ spl0_87
| ~ spl0_86 ),
inference(contradiction_clause,[status(thm)],[f1156]) ).
fof(f1179,plain,
( e2 = e1
| ~ spl0_12
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f359,f356]) ).
fof(f1180,plain,
( $false
| ~ spl0_12
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f1179,f199]) ).
fof(f1181,plain,
( ~ spl0_12
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1180]) ).
fof(f1197,plain,
( e2 = e1
| ~ spl0_27
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f407,f404]) ).
fof(f1198,plain,
( $false
| ~ spl0_27
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f1197,f199]) ).
fof(f1199,plain,
( ~ spl0_27
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f1198]) ).
fof(f1208,plain,
( op(e4,e0) = e3
| ~ spl0_95
| ~ spl0_157 ),
inference(forward_demodulation,[status(thm)],[f625,f892]) ).
fof(f1248,plain,
e0 = op(e1,e2),
inference(backward_demodulation,[status(thm)],[f206,f205]) ).
fof(f1249,plain,
e3 != op(e2,e4),
inference(backward_demodulation,[status(thm)],[f1037,f173]) ).
fof(f1253,plain,
op(e2,e1) != e3,
inference(backward_demodulation,[status(thm)],[f1037,f169]) ).
fof(f1255,plain,
op(e2,e0) != e3,
inference(backward_demodulation,[status(thm)],[f1037,f166]) ).
fof(f1261,plain,
e3 != op(e3,e2),
inference(backward_demodulation,[status(thm)],[f1037,f122]) ).
fof(f1266,plain,
e2 = op(op(e1,e1),e4),
inference(backward_demodulation,[status(thm)],[f208,f206]) ).
fof(f1267,plain,
e2 = op(e4,e4),
inference(forward_demodulation,[status(thm)],[f208,f1266]) ).
fof(f1268,plain,
( e2 = e0
| ~ spl0_120 ),
inference(forward_demodulation,[status(thm)],[f705,f1267]) ).
fof(f1269,plain,
( $false
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[status(thm)],[f1268,f196]) ).
fof(f1270,plain,
~ spl0_120,
inference(contradiction_clause,[status(thm)],[f1269]) ).
fof(f1271,plain,
e4 != op(e1,e4),
inference(backward_demodulation,[status(thm)],[f208,f161]) ).
fof(f1279,plain,
e4 != op(e4,e1),
inference(backward_demodulation,[status(thm)],[f208,f111]) ).
fof(f1281,plain,
e4 != op(e3,e1),
inference(backward_demodulation,[status(thm)],[f208,f110]) ).
fof(f1283,plain,
e4 != op(e2,e1),
inference(backward_demodulation,[status(thm)],[f208,f109]) ).
fof(f1285,plain,
op(e0,e1) != e4,
inference(backward_demodulation,[status(thm)],[f208,f105]) ).
fof(f1299,plain,
( e0 != op(e0,e3)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f321,f147]) ).
fof(f1300,plain,
( e0 != e0
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f369,f1299]) ).
fof(f1301,plain,
( $false
| ~ spl0_15
| ~ spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f1300]) ).
fof(f1302,plain,
( ~ spl0_15
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f1301]) ).
fof(f1340,plain,
( e0 = e3
| ~ spl0_115
| ~ spl0_118 ),
inference(forward_demodulation,[status(thm)],[f689,f698]) ).
fof(f1341,plain,
( $false
| ~ spl0_115
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f1340,f197]) ).
fof(f1342,plain,
( ~ spl0_115
| ~ spl0_118 ),
inference(contradiction_clause,[status(thm)],[f1341]) ).
fof(f1372,plain,
( e0 != op(e2,e3)
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f497,f170]) ).
fof(f1373,plain,
( e0 != e0
| ~ spl0_65
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f529,f1372]) ).
fof(f1374,plain,
( $false
| ~ spl0_65
| ~ spl0_55 ),
inference(trivial_equality_resolution,[status(esa)],[f1373]) ).
fof(f1375,plain,
( ~ spl0_65
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f1374]) ).
fof(f1393,plain,
( op(e1,e0) != e2
| ~ spl0_35
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f433,f971]) ).
fof(f1395,plain,
( e0 != op(e1,e2)
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f353,f115]) ).
fof(f1396,plain,
( e0 != e0
| ~ spl0_35
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f433,f1395]) ).
fof(f1397,plain,
( $false
| ~ spl0_35
| ~ spl0_10 ),
inference(trivial_equality_resolution,[status(esa)],[f1396]) ).
fof(f1398,plain,
( ~ spl0_35
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1397]) ).
fof(f1434,plain,
( e4 = e2
| ~ spl0_89
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f605,f599]) ).
fof(f1435,plain,
( $false
| ~ spl0_89
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f1434,f203]) ).
fof(f1436,plain,
( ~ spl0_89
| ~ spl0_87 ),
inference(contradiction_clause,[status(thm)],[f1435]) ).
fof(f1453,plain,
( op(e4,e0) = e4
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f721,f43]) ).
fof(f1453_001,plain,
( op(e4,e0) = e4
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f721,f43]) ).
fof(f1454,plain,
( e1 = e4
| ~ spl0_101
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f644,f1453]) ).
fof(f1455,plain,
( $false
| ~ spl0_101
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f1454,f201]) ).
fof(f1456,plain,
( ~ spl0_101
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f1455]) ).
fof(f1457,plain,
( op(e0,e4) = e4
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f721,f42]) ).
fof(f1457_002,plain,
( op(e0,e4) = e4
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f721,f42]) ).
fof(f1458,plain,
( op(e3,e0) = e3
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f721,f41]) ).
fof(f1459,plain,
( e1 = e3
| ~ spl0_76
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f564,f1458]) ).
fof(f1460,plain,
( $false
| ~ spl0_76
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f1459,f200]) ).
fof(f1461,plain,
( ~ spl0_76
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f1460]) ).
fof(f1465,plain,
op(e0,e4) != e2,
inference(forward_demodulation,[status(thm)],[f1267,f138]) ).
fof(f1475,plain,
op(e2,e4) != e2,
inference(forward_demodulation,[status(thm)],[f1267,f143]) ).
fof(f1476,plain,
op(e1,e4) != e2,
inference(forward_demodulation,[status(thm)],[f1267,f141]) ).
fof(f1484,plain,
op(e4,e2) != e2,
inference(forward_demodulation,[status(thm)],[f1267,f193]) ).
fof(f1502,plain,
( op(e4,e4) != e2
| ~ spl0_114
| spl0_137 ),
inference(backward_demodulation,[status(thm)],[f685,f818]) ).
fof(f1503,plain,
( e2 != e2
| ~ spl0_114
| spl0_137 ),
inference(forward_demodulation,[status(thm)],[f1267,f1502]) ).
fof(f1504,plain,
( $false
| ~ spl0_114
| spl0_137 ),
inference(trivial_equality_resolution,[status(esa)],[f1503]) ).
fof(f1505,plain,
( ~ spl0_114
| spl0_137 ),
inference(contradiction_clause,[status(thm)],[f1504]) ).
fof(f1515,plain,
( $false
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f477,f1271]) ).
fof(f1516,plain,
~ spl0_49,
inference(contradiction_clause,[status(thm)],[f1515]) ).
fof(f1524,plain,
( e2 = e1
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f1267,f708]) ).
fof(f1525,plain,
( $false
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f1524,f199]) ).
fof(f1526,plain,
~ spl0_121,
inference(contradiction_clause,[status(thm)],[f1525]) ).
fof(f1543,plain,
( $false
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f554,f1249]) ).
fof(f1544,plain,
~ spl0_73,
inference(contradiction_clause,[status(thm)],[f1543]) ).
fof(f1563,plain,
( e3 != e3
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f490,f1255]) ).
fof(f1564,plain,
( $false
| ~ spl0_53 ),
inference(trivial_equality_resolution,[status(esa)],[f1563]) ).
fof(f1565,plain,
~ spl0_53,
inference(contradiction_clause,[status(thm)],[f1564]) ).
fof(f1645,plain,
( op(e4,e1) = e4
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f724,f43]) ).
fof(f1646,plain,
( $false
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f1645,f1279]) ).
fof(f1647,plain,
~ spl0_126,
inference(contradiction_clause,[status(thm)],[f1646]) ).
fof(f1648,plain,
( $false
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f506,f1253]) ).
fof(f1649,plain,
~ spl0_58,
inference(contradiction_clause,[status(thm)],[f1648]) ).
fof(f1656,plain,
( e1 = e3
| ~ spl0_111
| ~ spl0_113 ),
inference(forward_demodulation,[status(thm)],[f676,f682]) ).
fof(f1657,plain,
( $false
| ~ spl0_111
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[status(thm)],[f1656,f200]) ).
fof(f1658,plain,
( ~ spl0_111
| ~ spl0_113 ),
inference(contradiction_clause,[status(thm)],[f1657]) ).
fof(f1661,plain,
e0 != op(e4,e2),
inference(backward_demodulation,[status(thm)],[f1248,f121]) ).
fof(f1662,plain,
e0 != op(e1,e3),
inference(backward_demodulation,[status(thm)],[f1248,f162]) ).
fof(f1663,plain,
e0 != op(e3,e2),
inference(backward_demodulation,[status(thm)],[f1248,f120]) ).
fof(f1670,plain,
( e2 = e3
| ~ spl0_123 ),
inference(forward_demodulation,[status(thm)],[f1267,f714]) ).
fof(f1671,plain,
( $false
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f1670,f202]) ).
fof(f1672,plain,
~ spl0_123,
inference(contradiction_clause,[status(thm)],[f1671]) ).
fof(f1679,plain,
( e1 = e0
| ~ spl0_91
| ~ spl0_90 ),
inference(forward_demodulation,[status(thm)],[f612,f609]) ).
fof(f1680,plain,
( $false
| ~ spl0_91
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f1679,f195]) ).
fof(f1681,plain,
( ~ spl0_91
| ~ spl0_90 ),
inference(contradiction_clause,[status(thm)],[f1680]) ).
fof(f1684,plain,
( $false
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f602,f1261]) ).
fof(f1685,plain,
~ spl0_88,
inference(contradiction_clause,[status(thm)],[f1684]) ).
fof(f1687,plain,
( e4 = e1
| ~ spl0_14
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f365,f356]) ).
fof(f1688,plain,
( $false
| ~ spl0_14
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f1687,f201]) ).
fof(f1689,plain,
( ~ spl0_14
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1688]) ).
fof(f1707,plain,
( e0 = e3
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f1248,f442]) ).
fof(f1708,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1707,f197]) ).
fof(f1709,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f1708]) ).
fof(f1721,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f1285]) ).
fof(f1722,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f1721]) ).
fof(f1727,plain,
( $false
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f673,f1661]) ).
fof(f1728,plain,
~ spl0_110,
inference(contradiction_clause,[status(thm)],[f1727]) ).
fof(f1732,plain,
( e1 != op(e0,e1)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f324,f145]) ).
fof(f1734,plain,
( e0 = e1
| ~ spl0_0
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f321,f324]) ).
fof(f1735,plain,
( $false
| ~ spl0_0
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1734,f195]) ).
fof(f1736,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f1735]) ).
fof(f1751,plain,
( e0 = e2
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f1248,f439]) ).
fof(f1752,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1751,f196]) ).
fof(f1753,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f1752]) ).
fof(f1761,plain,
( e4 != e4
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f509,f1283]) ).
fof(f1762,plain,
( $false
| ~ spl0_59 ),
inference(trivial_equality_resolution,[status(esa)],[f1761]) ).
fof(f1763,plain,
~ spl0_59,
inference(contradiction_clause,[status(thm)],[f1762]) ).
fof(f1785,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f449,f1662]) ).
fof(f1786,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f1785]) ).
fof(f1801,plain,
( op(e1,e2) = e1
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f727,f37]) ).
fof(f1802,plain,
( e0 = e1
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f1248,f1801]) ).
fof(f1803,plain,
( $false
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[status(thm)],[f1802,f195]) ).
fof(f1804,plain,
~ spl0_127,
inference(contradiction_clause,[status(thm)],[f1803]) ).
fof(f1806,plain,
( e0 = e1
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f1248,f436]) ).
fof(f1807,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f1806,f195]) ).
fof(f1808,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f1807]) ).
fof(f1822,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f391,f1465]) ).
fof(f1823,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f1822]) ).
fof(f1834,plain,
( $false
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f593,f1663]) ).
fof(f1835,plain,
~ spl0_85,
inference(contradiction_clause,[status(thm)],[f1834]) ).
fof(f1852,plain,
( e0 = e4
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f1248,f445]) ).
fof(f1853,plain,
( $false
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f1852,f198]) ).
fof(f1854,plain,
~ spl0_39,
inference(contradiction_clause,[status(thm)],[f1853]) ).
fof(f1955,plain,
( ~ spl0_27
| ~ spl0_35
| spl0_178 ),
inference(split_clause,[status(thm)],[f1393,f406,f432,f969]) ).
fof(f1969,plain,
( e0 != op(e3,e0)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f321,f97]) ).
fof(f1972,plain,
( $false
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f679,f1484]) ).
fof(f1973,plain,
~ spl0_112,
inference(contradiction_clause,[status(thm)],[f1972]) ).
fof(f1977,plain,
( op(e2,e3) != e1
| ~ spl0_91 ),
inference(backward_demodulation,[status(thm)],[f612,f132]) ).
fof(f1978,plain,
( ~ spl0_66
| ~ spl0_91 ),
inference(split_clause,[status(thm)],[f1977,f531,f611]) ).
fof(f1980,plain,
( e3 = e1
| ~ spl0_93
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f618,f612]) ).
fof(f1981,plain,
( $false
| ~ spl0_93
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[status(thm)],[f1980,f200]) ).
fof(f1982,plain,
( ~ spl0_93
| ~ spl0_91 ),
inference(contradiction_clause,[status(thm)],[f1981]) ).
fof(f1993,plain,
( spl0_103
| ~ spl0_95
| ~ spl0_157 ),
inference(split_clause,[status(thm)],[f1208,f649,f624,f891]) ).
fof(f2015,plain,
( e4 = e2
| ~ spl0_14
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f365,f359]) ).
fof(f2016,plain,
( $false
| ~ spl0_14
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f2015,f203]) ).
fof(f2017,plain,
( ~ spl0_14
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f2016]) ).
fof(f2036,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f471,f1476]) ).
fof(f2037,plain,
~ spl0_47,
inference(contradiction_clause,[status(thm)],[f2036]) ).
fof(f2043,plain,
( e1 != op(e3,e3)
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f596,f182]) ).
fof(f2044,plain,
( e1 != e1
| ~ spl0_91
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f612,f2043]) ).
fof(f2045,plain,
( $false
| ~ spl0_91
| ~ spl0_86 ),
inference(trivial_equality_resolution,[status(esa)],[f2044]) ).
fof(f2046,plain,
( ~ spl0_91
| ~ spl0_86 ),
inference(contradiction_clause,[status(thm)],[f2045]) ).
fof(f2067,plain,
( e1 = e4
| ~ spl0_86
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f596,f605]) ).
fof(f2068,plain,
( $false
| ~ spl0_86
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f2067,f201]) ).
fof(f2069,plain,
( ~ spl0_86
| ~ spl0_89 ),
inference(contradiction_clause,[status(thm)],[f2068]) ).
fof(f2089,plain,
( op(e3,e3) = e3
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f730,f41]) ).
fof(f2090,plain,
( spl0_93
| ~ spl0_128 ),
inference(split_clause,[status(thm)],[f2089,f617,f729]) ).
fof(f2097,plain,
( op(e1,e3) = e1
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f730,f37]) ).
fof(f2098,plain,
( spl0_41
| ~ spl0_128 ),
inference(split_clause,[status(thm)],[f2097,f451,f729]) ).
fof(f2099,plain,
( op(e3,e2) = e2
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f730,f38]) ).
fof(f2100,plain,
( spl0_87
| ~ spl0_128 ),
inference(split_clause,[status(thm)],[f2099,f598,f729]) ).
fof(f2148,plain,
( ~ spl0_75
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f1969,f560,f320]) ).
fof(f2183,plain,
( spl0_104
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f1453,f652,f720]) ).
fof(f2218,plain,
( op(e2,e0) = e2
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f721,f39]) ).
fof(f2219,plain,
( e1 = e2
| ~ spl0_51
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f484,f2218]) ).
fof(f2220,plain,
( $false
| ~ spl0_51
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f2219,f199]) ).
fof(f2221,plain,
( ~ spl0_51
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f2220]) ).
fof(f2222,plain,
( op(e0,e2) = e2
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f721,f38]) ).
fof(f2222_003,plain,
( op(e0,e2) = e2
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f721,f38]) ).
fof(f2224,plain,
( op(e0,e1) = e1
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f721,f36]) ).
fof(f2227,plain,
( op(e3,e0) = e3
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f721,f41]) ).
fof(f2234,plain,
( op(e2,e2) = e0
| ~ spl0_125
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f2222,f1017]) ).
fof(f2235,plain,
( e3 = e0
| ~ spl0_125
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1037,f2234]) ).
fof(f2236,plain,
( $false
| ~ spl0_125
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[status(thm)],[f2235,f197]) ).
fof(f2237,plain,
( ~ spl0_125
| ~ spl0_190 ),
inference(contradiction_clause,[status(thm)],[f2236]) ).
fof(f2258,plain,
( e1 != e1
| ~ spl0_125
| spl0_6 ),
inference(forward_demodulation,[status(thm)],[f2224,f341]) ).
fof(f2259,plain,
( $false
| ~ spl0_125
| spl0_6 ),
inference(trivial_equality_resolution,[status(esa)],[f2258]) ).
fof(f2260,plain,
( ~ spl0_125
| spl0_6 ),
inference(contradiction_clause,[status(thm)],[f2259]) ).
fof(f2264,plain,
( op(e4,e4) = e0
| ~ spl0_125
| ~ spl0_194 ),
inference(forward_demodulation,[status(thm)],[f1457,f1033]) ).
fof(f2265,plain,
( e2 = e0
| ~ spl0_125
| ~ spl0_194 ),
inference(forward_demodulation,[status(thm)],[f1267,f2264]) ).
fof(f2266,plain,
( $false
| ~ spl0_125
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[status(thm)],[f2265,f196]) ).
fof(f2267,plain,
( ~ spl0_125
| ~ spl0_194 ),
inference(contradiction_clause,[status(thm)],[f2266]) ).
fof(f2382,plain,
( e2 != op(e2,e1)
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f2218,f165]) ).
fof(f2408,plain,
( e1 != op(e4,e3)
| ~ spl0_111 ),
inference(backward_demodulation,[status(thm)],[f676,f192]) ).
fof(f2421,plain,
( op(e2,e1) = e4
| ~ spl0_111
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f676,f821]) ).
fof(f2422,plain,
( $false
| ~ spl0_111
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[status(thm)],[f2421,f1283]) ).
fof(f2423,plain,
( ~ spl0_111
| ~ spl0_138 ),
inference(contradiction_clause,[status(thm)],[f2422]) ).
fof(f2470,plain,
( e0 != op(e3,e1)
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f497,f112]) ).
fof(f2560,plain,
( op(e2,e4) = e2
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f733,f39]) ).
fof(f2561,plain,
( $false
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[status(thm)],[f2560,f1475]) ).
fof(f2562,plain,
~ spl0_129,
inference(contradiction_clause,[status(thm)],[f2561]) ).
fof(f2606,plain,
( op(e0,e1) != e1
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f500,f106]) ).
fof(f2639,plain,
( spl0_24
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f1457,f396,f720]) ).
fof(f2640,plain,
( spl0_12
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2222,f358,f720]) ).
fof(f2641,plain,
( $false
| ~ spl0_56
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f2224,f2606]) ).
fof(f2642,plain,
( ~ spl0_56
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f2641]) ).
fof(f2645,plain,
( ~ spl0_57
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2382,f502,f720]) ).
fof(f2702,plain,
( e3 != op(e3,e4)
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f2227,f178]) ).
fof(f2748,plain,
( op(e4,e3) = e1
| ~ spl0_48
| ~ spl0_185 ),
inference(forward_demodulation,[status(thm)],[f474,f996]) ).
fof(f2749,plain,
( $false
| ~ spl0_111
| ~ spl0_48
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[status(thm)],[f2748,f2408]) ).
fof(f2750,plain,
( ~ spl0_111
| ~ spl0_48
| ~ spl0_185 ),
inference(contradiction_clause,[status(thm)],[f2749]) ).
fof(f2814,plain,
( e2 != op(e3,e2)
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f359,f117]) ).
fof(f2815,plain,
( ~ spl0_87
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f2814,f598,f358]) ).
fof(f2831,plain,
( ~ spl0_80
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f2470,f576,f496]) ).
fof(f2882,plain,
( op(e4,e0) != e4
| ~ spl0_114 ),
inference(backward_demodulation,[status(thm)],[f685,f186]) ).
fof(f2883,plain,
( ~ spl0_104
| ~ spl0_114 ),
inference(split_clause,[status(thm)],[f2882,f652,f684]) ).
fof(f2896,plain,
( $false
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f589,f1281]) ).
fof(f2897,plain,
~ spl0_84,
inference(contradiction_clause,[status(thm)],[f2896]) ).
fof(f2930,plain,
( ~ spl0_6
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1732,f339,f323]) ).
fof(f2935,plain,
( ~ spl0_98
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2702,f633,f720]) ).
fof(f3042,plain,
( op(e4,e1) = e2
| ~ spl0_71
| ~ spl0_171 ),
inference(forward_demodulation,[status(thm)],[f548,f944]) ).
fof(f3043,plain,
( e3 = e2
| ~ spl0_108
| ~ spl0_71
| ~ spl0_171 ),
inference(forward_demodulation,[status(thm)],[f666,f3042]) ).
fof(f3044,plain,
( $false
| ~ spl0_108
| ~ spl0_71
| ~ spl0_171 ),
inference(forward_subsumption_resolution,[status(thm)],[f3043,f202]) ).
fof(f3045,plain,
( ~ spl0_108
| ~ spl0_71
| ~ spl0_171 ),
inference(contradiction_clause,[status(thm)],[f3044]) ).
fof(f3121,plain,
( op(e3,e3) = e3
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f730,f40]) ).
fof(f3245,plain,
( e3 = e0
| ~ spl0_128
| ~ spl0_90 ),
inference(forward_demodulation,[status(thm)],[f3121,f609]) ).
fof(f3246,plain,
( $false
| ~ spl0_128
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f3245,f197]) ).
fof(f3247,plain,
( ~ spl0_128
| ~ spl0_90 ),
inference(contradiction_clause,[status(thm)],[f3246]) ).
fof(f3248,plain,
$false,
inference(sat_refutation,[status(thm)],[f431,f447,f511,f527,f607,f687,f735,f739,f750,f758,f759,f761,f765,f766,f767,f782,f783,f786,f787,f819,f823,f841,f842,f871,f875,f894,f923,f924,f946,f972,f998,f1019,f1035,f1040,f1049,f1055,f1058,f1067,f1070,f1076,f1079,f1091,f1103,f1151,f1157,f1181,f1199,f1270,f1302,f1342,f1375,f1398,f1436,f1456,f1461,f1505,f1516,f1526,f1544,f1565,f1647,f1649,f1658,f1672,f1681,f1685,f1689,f1709,f1722,f1728,f1736,f1753,f1763,f1786,f1804,f1808,f1823,f1835,f1854,f1955,f1973,f1978,f1982,f1993,f2017,f2037,f2046,f2069,f2090,f2098,f2100,f2148,f2183,f2221,f2237,f2260,f2267,f2423,f2562,f2639,f2640,f2642,f2645,f2750,f2815,f2831,f2883,f2897,f2930,f2935,f3045,f3247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : ALG061+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 23:28:56 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.33 % Drodi V3.6.0
% 0.16/0.49 % Refutation found
% 0.16/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.50 % Elapsed time: 0.183210 seconds
% 0.16/0.50 % CPU time: 1.332950 seconds
% 0.16/0.50 % Total memory used: 32.584 MB
% 0.16/0.50 % Net memory used: 31.806 MB
%------------------------------------------------------------------------------