TSTP Solution File: ALG065+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG065+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:09:24 EDT 2024
% Result : Theorem 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 83
% Syntax : Number of formulae : 343 ( 55 unt; 0 def)
% Number of atoms : 1544 (1111 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 1784 ( 583 ~; 751 |; 374 &)
% ( 68 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 78 ( 76 usr; 77 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(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
~ ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != 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(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != 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(f17,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = 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(f27,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f33,plain,
( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = 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(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(f44,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f49,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f54,plain,
( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f73,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f88,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f90,plain,
( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f96,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f109,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f116,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f125,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f129,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f130,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f143,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f148,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f157,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f158,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f160,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f161,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f164,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f167,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f174,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f175,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f176,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f177,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f185,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f188,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f195,plain,
e0 != e1,
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(op(e4,e2),op(e4,e2)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f206,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f207,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f208,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(f209,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(f210,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(f211,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(f212,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(f213,plain,
( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != 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,f212,f211,f210,f209,f208]) ).
fof(f219,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f213]) ).
fof(f225,plain,
( op(e2,e2) != e1
| op(e2,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f213]) ).
fof(f227,plain,
( op(e2,e2) != e3
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f213]) ).
fof(f228,plain,
( op(e2,e2) != e4
| op(e2,e4) = e2 ),
inference(cnf_transformation,[status(esa)],[f213]) ).
fof(f230,plain,
( op(e3,e3) != e1
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f213]) ).
fof(f231,plain,
( op(e3,e3) != e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f213]) ).
fof(f235,plain,
( op(e4,e4) != e1
| op(e4,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f213]) ).
fof(f236,plain,
( op(e4,e4) != e2
| op(e4,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f213]) ).
fof(f239,plain,
( pd0_0
| op(e4,op(e4,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f213]) ).
fof(f249,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 ) ),
inference(pre_NNF_transformation,[status(esa)],[f208]) ).
fof(f250,plain,
( pd0_5
=> ( ( 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 ) ) ),
introduced(predicate_definition,[f249]) ).
fof(f251,plain,
( ~ pd0_0
| pd0_5
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f249,f250]) ).
fof(f252,plain,
( ~ pd0_0
| pd0_5
| op(e3,op(e3,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f274,plain,
( ~ pd0_5
| ( 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 ) ),
inference(pre_NNF_transformation,[status(esa)],[f250]) ).
fof(f275,plain,
( pd0_10
=> ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 ) ) ),
introduced(predicate_definition,[f274]) ).
fof(f276,plain,
( ~ pd0_5
| pd0_10
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 ) ),
inference(formula_renaming,[status(thm)],[f274,f275]) ).
fof(f277,plain,
( ~ pd0_5
| pd0_10
| op(e2,op(e2,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f276]) ).
fof(f299,plain,
( ~ pd0_10
| ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f275]) ).
fof(f300,plain,
( pd0_15
=> ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 ) ),
introduced(predicate_definition,[f299]) ).
fof(f301,plain,
( ~ pd0_10
| pd0_15
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 ) ),
inference(formula_renaming,[status(thm)],[f299,f300]) ).
fof(f302,plain,
( ~ pd0_10
| pd0_15
| op(e1,op(e1,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f301]) ).
fof(f324,plain,
( ~ pd0_15
| ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f300]) ).
fof(f325,plain,
( ~ pd0_15
| op(e0,op(e0,e0)) != e0 ),
inference(cnf_transformation,[status(esa)],[f324]) ).
fof(f326,plain,
( ~ pd0_15
| op(e0,op(e0,e0)) = e0 ),
inference(cnf_transformation,[status(esa)],[f324]) ).
fof(f345,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f351,plain,
( spl0_4
<=> op(e0,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f361,plain,
( spl0_7
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f362,plain,
( op(e0,e1) = e2
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f377,plain,
( spl0_12
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f393,plain,
( spl0_17
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( op(e0,e3) = e2
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( spl0_18
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f397,plain,
( op(e0,e3) = e3
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f398,plain,
( op(e0,e3) != e3
| spl0_18 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f406,plain,
( spl0_21
<=> op(e0,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f407,plain,
( op(e0,e4) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( spl0_22
<=> op(e0,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f410,plain,
( op(e0,e4) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f422,plain,
( spl0_26
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f423,plain,
( op(e1,e0) = e1
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f431,plain,
( spl0_29
<=> op(e1,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f432,plain,
( op(e1,e0) = e4
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f435,plain,
( spl0_30
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f437,plain,
( op(e1,e1) != e0
| spl0_30 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,plain,
( spl0_31
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f439,plain,
( op(e1,e1) = e1
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f467,plain,
( spl0_40
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( op(e1,e3) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( spl0_41
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f471,plain,
( op(e1,e3) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( spl0_42
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f476,plain,
( spl0_43
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f479,plain,
( spl0_44
<=> op(e1,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f480,plain,
( op(e1,e3) = e4
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43
| spl0_44 ),
inference(split_clause,[status(thm)],[f17,f467,f470,f473,f476,f479]) ).
fof(f483,plain,
( spl0_45
<=> op(e1,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( op(e1,e4) = e0
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( spl0_46
<=> op(e1,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( op(e1,e4) = e1
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( spl0_47
<=> op(e1,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f490,plain,
( op(e1,e4) = e2
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f505,plain,
( spl0_52
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f506,plain,
( op(e2,e0) = e2
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f507,plain,
( op(e2,e0) != e2
| spl0_52 ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f511,plain,
( spl0_54
<=> op(e2,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f512,plain,
( op(e2,e0) = e4
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f515,plain,
( spl0_55
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f516,plain,
( op(e2,e1) = e0
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f521,plain,
( spl0_57
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f522,plain,
( op(e2,e1) = e2
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f527,plain,
( spl0_59
<=> op(e2,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f528,plain,
( op(e2,e1) = e4
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f531,plain,
( spl0_60
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f534,plain,
( spl0_61
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f537,plain,
( spl0_62
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f538,plain,
( op(e2,e2) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( spl0_63
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f543,plain,
( spl0_64
<=> op(e2,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f546,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(split_clause,[status(thm)],[f21,f531,f534,f537,f540,f543]) ).
fof(f553,plain,
( spl0_67
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f559,plain,
( spl0_69
<=> op(e2,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f566,plain,
( spl0_71
<=> op(e2,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f567,plain,
( op(e2,e4) = e1
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( spl0_72
<=> op(e2,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f570,plain,
( op(e2,e4) = e2
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f575,plain,
( spl0_74
<=> op(e2,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f576,plain,
( op(e2,e4) = e4
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f588,plain,
( spl0_78
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f589,plain,
( op(e3,e0) = e3
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,plain,
( spl0_79
<=> op(e3,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f592,plain,
( op(e3,e0) = e4
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f604,plain,
( spl0_83
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f605,plain,
( op(e3,e1) = e3
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f620,plain,
( spl0_88
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f621,plain,
( op(e3,e2) = e3
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f627,plain,
( spl0_90
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f630,plain,
( spl0_91
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f633,plain,
( spl0_92
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f636,plain,
( spl0_93
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f639,plain,
( spl0_94
<=> op(e3,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f642,plain,
( spl0_90
| spl0_91
| spl0_92
| spl0_93
| spl0_94 ),
inference(split_clause,[status(thm)],[f27,f627,f630,f633,f636,f639]) ).
fof(f646,plain,
( spl0_96
<=> op(e3,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f647,plain,
( op(e3,e4) = e1
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,plain,
( spl0_97
<=> op(e3,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f650,plain,
( op(e3,e4) = e2
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f671,plain,
( spl0_104
<=> op(e4,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( op(e4,e0) = e4
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f687,plain,
( spl0_109
<=> op(e4,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f688,plain,
( op(e4,e1) = e4
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f703,plain,
( spl0_114
<=> op(e4,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f704,plain,
( op(e4,e2) = e4
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f723,plain,
( spl0_120
<=> op(e4,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f726,plain,
( spl0_121
<=> op(e4,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f729,plain,
( spl0_122
<=> op(e4,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f732,plain,
( spl0_123
<=> op(e4,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f733,plain,
( op(e4,e4) = e3
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( spl0_124
<=> op(e4,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f736,plain,
( op(e4,e4) = e4
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,plain,
( spl0_120
| spl0_121
| spl0_122
| spl0_123
| spl0_124 ),
inference(split_clause,[status(thm)],[f33,f723,f726,f729,f732,f735]) ).
fof(f739,plain,
( spl0_125
<=> unit = e0 ),
introduced(split_symbol_definition) ).
fof(f740,plain,
( unit = e0
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( spl0_126
<=> unit = e1 ),
introduced(split_symbol_definition) ).
fof(f743,plain,
( unit = e1
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( spl0_127
<=> unit = e2 ),
introduced(split_symbol_definition) ).
fof(f746,plain,
( unit = e2
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,plain,
( spl0_128
<=> unit = e3 ),
introduced(split_symbol_definition) ).
fof(f749,plain,
( unit = e3
| ~ spl0_128 ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,plain,
( spl0_129
<=> unit = e4 ),
introduced(split_symbol_definition) ).
fof(f752,plain,
( unit = e4
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,plain,
( spl0_125
| spl0_126
| spl0_127
| spl0_128
| spl0_129 ),
inference(split_clause,[status(thm)],[f44,f739,f742,f745,f748,f751]) ).
fof(f759,plain,
( spl0_2
| spl0_7
| spl0_12
| spl0_17
| spl0_22 ),
inference(split_clause,[status(thm)],[f49,f345,f361,f377,f393,f409]) ).
fof(f764,plain,
( spl0_4
| spl0_29
| spl0_54
| spl0_79
| spl0_104 ),
inference(split_clause,[status(thm)],[f54,f351,f431,f511,f591,f671]) ).
fof(f783,plain,
( spl0_54
| spl0_59
| spl0_64
| spl0_69
| spl0_74 ),
inference(split_clause,[status(thm)],[f73,f511,f527,f543,f559,f575]) ).
fof(f798,plain,
( spl0_21
| spl0_46
| spl0_71
| spl0_96
| spl0_121 ),
inference(split_clause,[status(thm)],[f88,f406,f486,f566,f646,f726]) ).
fof(f800,plain,
( spl0_22
| spl0_47
| spl0_72
| spl0_97
| spl0_122 ),
inference(split_clause,[status(thm)],[f90,f409,f489,f569,f649,f729]) ).
fof(f810,plain,
( ~ spl0_30
| spl0_26 ),
inference(split_clause,[status(thm)],[f219,f435,f422]) ).
fof(f816,plain,
( ~ spl0_61
| spl0_57 ),
inference(split_clause,[status(thm)],[f225,f534,f521]) ).
fof(f818,plain,
( ~ spl0_63
| spl0_67 ),
inference(split_clause,[status(thm)],[f227,f540,f553]) ).
fof(f819,plain,
( ~ spl0_64
| spl0_72 ),
inference(split_clause,[status(thm)],[f228,f543,f569]) ).
fof(f821,plain,
( ~ spl0_91
| spl0_83 ),
inference(split_clause,[status(thm)],[f230,f630,f604]) ).
fof(f822,plain,
( ~ spl0_92
| spl0_88 ),
inference(split_clause,[status(thm)],[f231,f633,f620]) ).
fof(f826,plain,
( ~ spl0_121
| spl0_109 ),
inference(split_clause,[status(thm)],[f235,f726,f687]) ).
fof(f827,plain,
( ~ spl0_122
| spl0_114 ),
inference(split_clause,[status(thm)],[f236,f729,f703]) ).
fof(f830,plain,
( spl0_130
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f833,plain,
( spl0_131
<=> op(e4,op(e4,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f835,plain,
( op(e4,op(e4,e0)) != e0
| spl0_131 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,plain,
( spl0_130
| ~ spl0_131 ),
inference(split_clause,[status(thm)],[f239,f830,f833]) ).
fof(f882,plain,
( spl0_144
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f885,plain,
( spl0_145
<=> op(e3,op(e3,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f887,plain,
( op(e3,op(e3,e0)) != e0
| spl0_145 ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( ~ spl0_130
| spl0_144
| ~ spl0_145 ),
inference(split_clause,[status(thm)],[f252,f830,f882,f885]) ).
fof(f934,plain,
( spl0_158
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f937,plain,
( spl0_159
<=> op(e2,op(e2,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f939,plain,
( op(e2,op(e2,e0)) != e0
| spl0_159 ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,plain,
( ~ spl0_144
| spl0_158
| ~ spl0_159 ),
inference(split_clause,[status(thm)],[f277,f882,f934,f937]) ).
fof(f986,plain,
( spl0_172
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f989,plain,
( spl0_173
<=> op(e1,op(e1,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f991,plain,
( op(e1,op(e1,e0)) != e0
| spl0_173 ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f992,plain,
( ~ spl0_158
| spl0_172
| ~ spl0_173 ),
inference(split_clause,[status(thm)],[f302,f934,f986,f989]) ).
fof(f1038,plain,
( spl0_186
<=> op(e0,op(e0,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f1041,plain,
( ~ spl0_172
| ~ spl0_186 ),
inference(split_clause,[status(thm)],[f325,f986,f1038]) ).
fof(f1042,plain,
( ~ spl0_172
| spl0_186 ),
inference(split_clause,[status(thm)],[f326,f986,f1038]) ).
fof(f1077,plain,
( e1 = e4
| ~ spl0_114 ),
inference(forward_demodulation,[status(thm)],[f206,f704]) ).
fof(f1078,plain,
( $false
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[status(thm)],[f1077,f201]) ).
fof(f1079,plain,
~ spl0_114,
inference(contradiction_clause,[status(thm)],[f1078]) ).
fof(f1080,plain,
( e3 = e2
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f207,f570]) ).
fof(f1081,plain,
( $false
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f1080,f202]) ).
fof(f1082,plain,
~ spl0_72,
inference(contradiction_clause,[status(thm)],[f1081]) ).
fof(f1086,plain,
( e3 = e4
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f207,f576]) ).
fof(f1087,plain,
( $false
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f1086,f204]) ).
fof(f1088,plain,
~ spl0_74,
inference(contradiction_clause,[status(thm)],[f1087]) ).
fof(f1116,plain,
( e2 = e1
| ~ spl0_97
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f650,f647]) ).
fof(f1117,plain,
( $false
| ~ spl0_97
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f1116,f199]) ).
fof(f1118,plain,
( ~ spl0_97
| ~ spl0_96 ),
inference(contradiction_clause,[status(thm)],[f1117]) ).
fof(f1119,plain,
( e3 = e1
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f207,f567]) ).
fof(f1120,plain,
( $false
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1119,f200]) ).
fof(f1121,plain,
~ spl0_71,
inference(contradiction_clause,[status(thm)],[f1120]) ).
fof(f1152,plain,
( e3 = e4
| ~ spl0_78
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f589,f592]) ).
fof(f1153,plain,
( $false
| ~ spl0_78
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f1152,f204]) ).
fof(f1154,plain,
( ~ spl0_78
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f1153]) ).
fof(f1158,plain,
( e3 = e2
| ~ spl0_18
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f397,f394]) ).
fof(f1159,plain,
( $false
| ~ spl0_18
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1158,f202]) ).
fof(f1160,plain,
( ~ spl0_18
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1159]) ).
fof(f1179,plain,
( e2 = e4
| ~ spl0_57
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f522,f528]) ).
fof(f1180,plain,
( $false
| ~ spl0_57
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f1179,f203]) ).
fof(f1181,plain,
( ~ spl0_57
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f1180]) ).
fof(f1182,plain,
( e2 = e4
| ~ spl0_52
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f506,f512]) ).
fof(f1183,plain,
( $false
| ~ spl0_52
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f1182,f203]) ).
fof(f1184,plain,
( ~ spl0_52
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f1183]) ).
fof(f1200,plain,
( e1 = e4
| ~ spl0_26
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f423,f432]) ).
fof(f1201,plain,
( $false
| ~ spl0_26
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f1200,f201]) ).
fof(f1202,plain,
( ~ spl0_26
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f1201]) ).
fof(f1258,plain,
e0 = op(op(e4,e2),e1),
inference(backward_demodulation,[status(thm)],[f206,f205]) ).
fof(f1259,plain,
e0 = op(e1,e1),
inference(forward_demodulation,[status(thm)],[f206,f1258]) ).
fof(f1279,plain,
op(e2,e3) != e3,
inference(backward_demodulation,[status(thm)],[f207,f174]) ).
fof(f1288,plain,
e3 != op(e4,e4),
inference(backward_demodulation,[status(thm)],[f207,f143]) ).
fof(f1335,plain,
( op(e1,e0) != e1
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f487,f158]) ).
fof(f1336,plain,
( ~ spl0_26
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1335,f422,f486]) ).
fof(f1370,plain,
( op(e4,e4) != e0
| ~ spl0_104
| spl0_131 ),
inference(backward_demodulation,[status(thm)],[f672,f835]) ).
fof(f1371,plain,
( ~ spl0_120
| ~ spl0_104
| spl0_131 ),
inference(split_clause,[status(thm)],[f1370,f723,f671,f833]) ).
fof(f1372,plain,
( e4 != op(e4,e4)
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f672,f188]) ).
fof(f1373,plain,
( e4 != e4
| ~ spl0_124
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f736,f1372]) ).
fof(f1374,plain,
( $false
| ~ spl0_124
| ~ spl0_104 ),
inference(trivial_equality_resolution,[status(esa)],[f1373]) ).
fof(f1375,plain,
( ~ spl0_124
| ~ spl0_104 ),
inference(contradiction_clause,[status(thm)],[f1374]) ).
fof(f1398,plain,
e0 != op(e1,e3),
inference(forward_demodulation,[status(thm)],[f1259,f160]) ).
fof(f1412,plain,
( op(e3,e0) != e3
| ~ spl0_88 ),
inference(backward_demodulation,[status(thm)],[f621,f176]) ).
fof(f1413,plain,
( ~ spl0_78
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f1412,f588,f620]) ).
fof(f1420,plain,
( op(e3,e0) != e3
| ~ spl0_83 ),
inference(backward_demodulation,[status(thm)],[f605,f175]) ).
fof(f1421,plain,
( ~ spl0_78
| ~ spl0_83 ),
inference(split_clause,[status(thm)],[f1420,f588,f604]) ).
fof(f1427,plain,
( op(e3,e3) != e0
| ~ spl0_78
| spl0_145 ),
inference(backward_demodulation,[status(thm)],[f589,f887]) ).
fof(f1428,plain,
( ~ spl0_90
| ~ spl0_78
| spl0_145 ),
inference(split_clause,[status(thm)],[f1427,f627,f588,f885]) ).
fof(f1436,plain,
e0 != op(e2,e1),
inference(forward_demodulation,[status(thm)],[f1259,f109]) ).
fof(f1437,plain,
( op(e2,e2) != e0
| ~ spl0_52
| spl0_159 ),
inference(backward_demodulation,[status(thm)],[f506,f939]) ).
fof(f1438,plain,
( ~ spl0_60
| ~ spl0_52
| spl0_159 ),
inference(split_clause,[status(thm)],[f1437,f531,f505,f937]) ).
fof(f1441,plain,
( op(e0,e0) != e2
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f506,f96]) ).
fof(f1442,plain,
( ~ spl0_2
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1441,f345,f505]) ).
fof(f1454,plain,
( op(e0,e4) = e4
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f740,f42]) ).
fof(f1455,plain,
( e2 = e4
| ~ spl0_22
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f410,f1454]) ).
fof(f1456,plain,
( $false
| ~ spl0_22
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f1455,f203]) ).
fof(f1457,plain,
( ~ spl0_22
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f1456]) ).
fof(f1458,plain,
( op(e3,e0) = e3
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f740,f41]) ).
fof(f1459,plain,
( op(e0,e3) = e3
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f740,f40]) ).
fof(f1460,plain,
( $false
| spl0_18
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f1459,f398]) ).
fof(f1461,plain,
( spl0_18
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f1460]) ).
fof(f1469,plain,
( op(e4,e0) != e4
| ~ spl0_109 ),
inference(backward_demodulation,[status(thm)],[f688,f185]) ).
fof(f1486,plain,
e0 != op(e1,e4),
inference(forward_demodulation,[status(thm)],[f1259,f161]) ).
fof(f1503,plain,
( e3 != op(e3,e3)
| ~ spl0_78 ),
inference(backward_demodulation,[status(thm)],[f589,f177]) ).
fof(f1504,plain,
( ~ spl0_93
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f1503,f636,f588]) ).
fof(f1526,plain,
( op(e1,e0) != e1
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f471,f157]) ).
fof(f1567,plain,
( op(e1,e1) != e0
| ~ spl0_26
| spl0_173 ),
inference(backward_demodulation,[status(thm)],[f423,f991]) ).
fof(f1568,plain,
( ~ spl0_30
| ~ spl0_26
| spl0_173 ),
inference(split_clause,[status(thm)],[f1567,f435,f422,f989]) ).
fof(f1583,plain,
( ~ spl0_26
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f1526,f422,f470]) ).
fof(f1621,plain,
( op(e1,e1) = e1
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f743,f36]) ).
fof(f1622,plain,
( spl0_31
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f1621,f438,f742]) ).
fof(f1630,plain,
( op(e0,e2) != e2
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f538,f116]) ).
fof(f1631,plain,
( ~ spl0_12
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1630,f377,f537]) ).
fof(f1669,plain,
( e0 != e0
| spl0_30 ),
inference(forward_demodulation,[status(thm)],[f1259,f437]) ).
fof(f1670,plain,
( $false
| spl0_30 ),
inference(trivial_equality_resolution,[status(esa)],[f1669]) ).
fof(f1671,plain,
spl0_30,
inference(contradiction_clause,[status(thm)],[f1670]) ).
fof(f1682,plain,
( ~ spl0_104
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f1469,f671,f687]) ).
fof(f1722,plain,
( $false
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f733,f1288]) ).
fof(f1723,plain,
~ spl0_123,
inference(contradiction_clause,[status(thm)],[f1722]) ).
fof(f1772,plain,
( op(e2,e3) = e3
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f746,f40]) ).
fof(f1773,plain,
( $false
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[status(thm)],[f1772,f1279]) ).
fof(f1774,plain,
~ spl0_127,
inference(contradiction_clause,[status(thm)],[f1773]) ).
fof(f1802,plain,
( op(e1,e3) != e2
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f490,f164]) ).
fof(f1803,plain,
( ~ spl0_42
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1802,f473,f489]) ).
fof(f1859,plain,
( e0 = e1
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f1259,f439]) ).
fof(f1860,plain,
( $false
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1859,f195]) ).
fof(f1861,plain,
~ spl0_31,
inference(contradiction_clause,[status(thm)],[f1860]) ).
fof(f1919,plain,
( e3 != op(e1,e3)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f397,f125]) ).
fof(f1920,plain,
( ~ spl0_43
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1919,f476,f396]) ).
fof(f2048,plain,
( op(e1,e3) = e1
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f749,f37]) ).
fof(f2049,plain,
( spl0_41
| ~ spl0_128 ),
inference(split_clause,[status(thm)],[f2048,f470,f748]) ).
fof(f2098,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f1398]) ).
fof(f2099,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f2098]) ).
fof(f2123,plain,
( spl0_78
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f1458,f588,f739]) ).
fof(f2144,plain,
( op(e2,e0) = e2
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f740,f39]) ).
fof(f2147,plain,
( op(e0,e1) = e1
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f740,f36]) ).
fof(f2159,plain,
( e1 = e2
| ~ spl0_125
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f2147,f362]) ).
fof(f2160,plain,
( $false
| ~ spl0_125
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f2159,f199]) ).
fof(f2161,plain,
( ~ spl0_125
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f2160]) ).
fof(f2180,plain,
( op(e0,e0) != e4
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f1454,f148]) ).
fof(f2181,plain,
( ~ spl0_4
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2180,f351,f739]) ).
fof(f2242,plain,
( e2 != op(e2,e3)
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f2144,f167]) ).
fof(f2243,plain,
( ~ spl0_67
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2242,f553,f739]) ).
fof(f2293,plain,
( e2 != e2
| ~ spl0_125
| spl0_52 ),
inference(forward_demodulation,[status(thm)],[f2144,f507]) ).
fof(f2294,plain,
( $false
| ~ spl0_125
| spl0_52 ),
inference(trivial_equality_resolution,[status(esa)],[f2293]) ).
fof(f2295,plain,
( ~ spl0_125
| spl0_52 ),
inference(contradiction_clause,[status(thm)],[f2294]) ).
fof(f2307,plain,
( e4 = e1
| ~ spl0_125
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f1454,f407]) ).
fof(f2308,plain,
( $false
| ~ spl0_125
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f2307,f201]) ).
fof(f2309,plain,
( ~ spl0_125
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f2308]) ).
fof(f2381,plain,
( e4 != op(e3,e3)
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f480,f130]) ).
fof(f2382,plain,
( ~ spl0_94
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f2381,f639,f479]) ).
fof(f2383,plain,
( e4 != op(e2,e3)
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f480,f129]) ).
fof(f2384,plain,
( ~ spl0_69
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f2383,f559,f479]) ).
fof(f2512,plain,
( $false
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f516,f1436]) ).
fof(f2513,plain,
~ spl0_55,
inference(contradiction_clause,[status(thm)],[f2512]) ).
fof(f2514,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f484,f1486]) ).
fof(f2515,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f2514]) ).
fof(f2529,plain,
( op(e2,e4) = e2
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f752,f39]) ).
fof(f2530,plain,
( spl0_72
| ~ spl0_129 ),
inference(split_clause,[status(thm)],[f2529,f569,f751]) ).
fof(f2541,plain,
$false,
inference(sat_refutation,[status(thm)],[f482,f546,f642,f738,f754,f759,f764,f783,f798,f800,f810,f816,f818,f819,f821,f822,f826,f827,f836,f888,f940,f992,f1041,f1042,f1079,f1082,f1088,f1118,f1121,f1154,f1160,f1181,f1184,f1202,f1336,f1371,f1375,f1413,f1421,f1428,f1438,f1442,f1457,f1461,f1504,f1568,f1583,f1622,f1631,f1671,f1682,f1723,f1774,f1803,f1861,f1920,f2049,f2099,f2123,f2161,f2181,f2243,f2295,f2309,f2382,f2384,f2513,f2515,f2530]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ALG065+1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n010.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 23:16:35 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.36 % Drodi V3.6.0
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.47 % Elapsed time: 0.111648 seconds
% 0.19/0.47 % CPU time: 0.762654 seconds
% 0.19/0.47 % Total memory used: 27.309 MB
% 0.19/0.47 % Net memory used: 26.739 MB
%------------------------------------------------------------------------------