TSTP Solution File: ALG149+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG149+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:10:20 EDT 2024
% Result : Unsatisfiable 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 123
% Syntax : Number of formulae : 982 ( 16 unt; 0 def)
% Number of atoms : 3698 (1741 equ)
% Maximal formula atoms : 132 ( 3 avg)
% Number of connectives : 4690 (1974 ~;2183 |; 439 &)
% ( 91 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 96 ( 94 usr; 95 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 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,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1 )
& ( op(e0,e2) != e0
| op(e0,e0) = e2 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3 )
& ( op(e1,e0) != e0
| op(e1,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e2) != e0
| op(e1,e0) = e2 )
& ( op(e1,e3) != e0
| op(e1,e0) = e3 )
& ( op(e2,e0) != e0
| op(e2,e0) = e0 )
& ( op(e2,e1) != e0
| op(e2,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e3) != e0
| op(e2,e0) = e3 )
& ( op(e3,e0) != e0
| op(e3,e0) = e0 )
& ( op(e3,e1) != e0
| op(e3,e0) = e1 )
& ( op(e3,e2) != e0
| op(e3,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e1) != e1
| op(e0,e1) = e1 )
& ( op(e0,e2) != e1
| op(e0,e1) = e2 )
& ( op(e0,e3) != e1
| op(e0,e1) = e3 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e2) != e1
| op(e1,e1) = e2 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3 )
& ( op(e2,e0) != e1
| op(e2,e1) = e0 )
& ( op(e2,e1) != e1
| op(e2,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e3) != e1
| op(e2,e1) = e3 )
& ( op(e3,e0) != e1
| op(e3,e1) = e0 )
& ( op(e3,e1) != e1
| op(e3,e1) = e1 )
& ( op(e3,e2) != e1
| op(e3,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e1) != e2
| op(e0,e2) = e1 )
& ( op(e0,e2) != e2
| op(e0,e2) = e2 )
& ( op(e0,e3) != e2
| op(e0,e2) = e3 )
& ( op(e1,e0) != e2
| op(e1,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e2) != e2
| op(e1,e2) = e2 )
& ( op(e1,e3) != e2
| op(e1,e2) = e3 )
& ( op(e2,e0) != e2
| op(e2,e2) = e0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3 )
& ( op(e3,e0) != e2
| op(e3,e2) = e0 )
& ( op(e3,e1) != e2
| op(e3,e2) = e1 )
& ( op(e3,e2) != e2
| op(e3,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e1) != e3
| op(e0,e3) = e1 )
& ( op(e0,e2) != e3
| op(e0,e3) = e2 )
& ( op(e0,e3) != e3
| op(e0,e3) = e3 )
& ( op(e1,e0) != e3
| op(e1,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e2) != e3
| op(e1,e3) = e2 )
& ( op(e1,e3) != e3
| op(e1,e3) = e3 )
& ( op(e2,e0) != e3
| op(e2,e3) = e0 )
& ( op(e2,e1) != e3
| op(e2,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e3) != e3
| op(e2,e3) = e3 )
& ( op(e3,e0) != e3
| op(e3,e3) = e0 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1 )
& ( op(e3,e2) != e3
| op(e3,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e1 = op(op(op(e0,e0),e0),e0)
& e2 = op(op(e0,e0),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e1 = op(op(op(e0,e0),e0),e0)
& e3 = op(op(e0,e0),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e2 = op(op(op(e0,e0),e0),e0)
& e1 = op(op(e0,e0),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e2 = op(op(op(e0,e0),e0),e0)
& e3 = op(op(e0,e0),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e3 = op(op(op(e0,e0),e0),e0)
& e1 = op(op(e0,e0),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e3 = op(op(op(e0,e0),e0),e0)
& e2 = op(op(e0,e0),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e0 = op(op(op(e1,e1),e1),e1)
& e2 = op(op(e1,e1),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e0 = op(op(op(e1,e1),e1),e1)
& e3 = op(op(e1,e1),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e2 = op(op(op(e1,e1),e1),e1)
& e0 = op(op(e1,e1),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e2 = op(op(op(e1,e1),e1),e1)
& e3 = op(op(e1,e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e3 = op(op(op(e1,e1),e1),e1)
& e0 = op(op(e1,e1),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e3 = op(op(op(e1,e1),e1),e1)
& e2 = op(op(e1,e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e0 = op(op(op(e2,e2),e2),e2)
& e1 = op(op(e2,e2),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e0 = op(op(op(e2,e2),e2),e2)
& e3 = op(op(e2,e2),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e1 = op(op(op(e2,e2),e2),e2)
& e0 = op(op(e2,e2),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e1 = op(op(op(e2,e2),e2),e2)
& e3 = op(op(e2,e2),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e3 = op(op(op(e2,e2),e2),e2)
& e0 = op(op(e2,e2),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e3 = op(op(op(e2,e2),e2),e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e0 = op(op(op(e3,e3),e3),e3)
& e1 = op(op(e3,e3),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e0 = op(op(op(e3,e3),e3),e3)
& e2 = op(op(e3,e3),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e1 = op(op(op(e3,e3),e3),e3)
& e0 = op(op(e3,e3),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e1 = op(op(op(e3,e3),e3),e3)
& e2 = op(op(e3,e3),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e2 = op(op(op(e3,e3),e3),e3)
& e0 = op(op(e3,e3),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e2 = op(op(op(e3,e3),e3),e3)
& e1 = op(op(e3,e3),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f46,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f47,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f48,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f49,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f50,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f51,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f52,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f53,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f55,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f56,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f57,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f58,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f59,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f60,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f61,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f62,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f63,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f64,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f65,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f66,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f67,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f68,plain,
( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f69,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f70,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f71,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f72,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f73,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f74,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f75,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f76,plain,
( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f77,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f132,plain,
( pd0_0
=> ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1 )
& ( op(e0,e2) != e0
| op(e0,e0) = e2 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3 )
& ( op(e1,e0) != e0
| op(e1,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e2) != e0
| op(e1,e0) = e2 )
& ( op(e1,e3) != e0
| op(e1,e0) = e3 )
& ( op(e2,e0) != e0
| op(e2,e0) = e0 )
& ( op(e2,e1) != e0
| op(e2,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e3) != e0
| op(e2,e0) = e3 )
& ( op(e3,e0) != e0
| op(e3,e0) = e0 )
& ( op(e3,e1) != e0
| op(e3,e0) = e1 )
& ( op(e3,e2) != e0
| op(e3,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e1) != e1
| op(e0,e1) = e1 )
& ( op(e0,e2) != e1
| op(e0,e1) = e2 )
& ( op(e0,e3) != e1
| op(e0,e1) = e3 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e2) != e1
| op(e1,e1) = e2 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3 )
& ( op(e2,e0) != e1
| op(e2,e1) = e0 )
& ( op(e2,e1) != e1
| op(e2,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e3) != e1
| op(e2,e1) = e3 )
& ( op(e3,e0) != e1
| op(e3,e1) = e0 )
& ( op(e3,e1) != e1
| op(e3,e1) = e1 )
& ( op(e3,e2) != e1
| op(e3,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e1) != e2
| op(e0,e2) = e1 )
& ( op(e0,e2) != e2
| op(e0,e2) = e2 )
& ( op(e0,e3) != e2
| op(e0,e2) = e3 )
& ( op(e1,e0) != e2
| op(e1,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e2) != e2
| op(e1,e2) = e2 )
& ( op(e1,e3) != e2
| op(e1,e2) = e3 )
& ( op(e2,e0) != e2
| op(e2,e2) = e0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3 )
& ( op(e3,e0) != e2
| op(e3,e2) = e0 )
& ( op(e3,e1) != e2
| op(e3,e2) = e1 )
& ( op(e3,e2) != e2
| op(e3,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f133,plain,
( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& ( pd0_0
| ( ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e1) != e3
| op(e0,e3) = e1 )
& ( op(e0,e2) != e3
| op(e0,e3) = e2 )
& ( op(e0,e3) != e3
| op(e0,e3) = e3 )
& ( op(e1,e0) != e3
| op(e1,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e2) != e3
| op(e1,e3) = e2 )
& ( op(e1,e3) != e3
| op(e1,e3) = e3 )
& ( op(e2,e0) != e3
| op(e2,e3) = e0 )
& ( op(e2,e1) != e3
| op(e2,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e3) != e3
| op(e2,e3) = e3 )
& ( op(e3,e0) != e3
| op(e3,e3) = e0 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1 )
& ( op(e3,e2) != e3
| op(e3,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) ) ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
op(e0,e0) != e0,
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f135,plain,
op(e1,e1) != e1,
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f136,plain,
op(e2,e2) != e2,
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f137,plain,
op(e3,e3) != e3,
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f138,plain,
( pd0_0
| op(e0,e0) != e3
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f139,plain,
( pd0_0
| op(e0,e1) != e3
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f140,plain,
( pd0_0
| op(e0,e2) != e3
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f142,plain,
( pd0_0
| op(e1,e0) != e3
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f143,plain,
( pd0_0
| op(e1,e1) != e3
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f144,plain,
( pd0_0
| op(e1,e2) != e3
| op(e1,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f146,plain,
( pd0_0
| op(e2,e0) != e3
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f147,plain,
( pd0_0
| op(e2,e1) != e3
| op(e2,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f148,plain,
( pd0_0
| op(e2,e2) != e3
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f150,plain,
( pd0_0
| op(e3,e0) != e3
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f151,plain,
( pd0_0
| op(e3,e1) != e3
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f152,plain,
( pd0_0
| op(e3,e2) != e3
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f154,plain,
( e1 != op(op(op(e0,e0),e0),e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f155,plain,
( e1 != op(op(op(e0,e0),e0),e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f156,plain,
( e1 != op(op(op(e0,e0),e0),e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f157,plain,
( e1 != op(op(op(e0,e0),e0),e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f156]) ).
fof(f158,plain,
( e2 != op(op(op(e0,e0),e0),e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f159,plain,
( e2 != op(op(op(e0,e0),e0),e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f158]) ).
fof(f160,plain,
( e2 != op(op(op(e0,e0),e0),e0)
| e3 != op(op(e0,e0),e0)
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f161,plain,
( e2 != op(op(op(e0,e0),e0),e0)
| e3 != op(op(e0,e0),e0)
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f162,plain,
( e3 != op(op(op(e0,e0),e0),e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f163,plain,
( e3 != op(op(op(e0,e0),e0),e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f162]) ).
fof(f164,plain,
( e3 != op(op(op(e0,e0),e0),e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f165,plain,
( e3 != op(op(op(e0,e0),e0),e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f164]) ).
fof(f166,plain,
( e0 != op(op(op(e1,e1),e1),e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f167,plain,
( e0 != op(op(op(e1,e1),e1),e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f166]) ).
fof(f168,plain,
( e0 != op(op(op(e1,e1),e1),e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f169,plain,
( e0 != op(op(op(e1,e1),e1),e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f168]) ).
fof(f170,plain,
( e2 != op(op(op(e1,e1),e1),e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f171,plain,
( e2 != op(op(op(e1,e1),e1),e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f170]) ).
fof(f172,plain,
( e2 != op(op(op(e1,e1),e1),e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f173,plain,
( e2 != op(op(op(e1,e1),e1),e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f172]) ).
fof(f174,plain,
( e3 != op(op(op(e1,e1),e1),e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f175,plain,
( e3 != op(op(op(e1,e1),e1),e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f176,plain,
( e3 != op(op(op(e1,e1),e1),e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f177,plain,
( e3 != op(op(op(e1,e1),e1),e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f178,plain,
( e0 != op(op(op(e2,e2),e2),e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f179,plain,
( e0 != op(op(op(e2,e2),e2),e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f178]) ).
fof(f180,plain,
( e0 != op(op(op(e2,e2),e2),e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f181,plain,
( e0 != op(op(op(e2,e2),e2),e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f180]) ).
fof(f182,plain,
( e1 != op(op(op(e2,e2),e2),e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f183,plain,
( e1 != op(op(op(e2,e2),e2),e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f182]) ).
fof(f184,plain,
( e1 != op(op(op(e2,e2),e2),e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f185,plain,
( e1 != op(op(op(e2,e2),e2),e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f184]) ).
fof(f186,plain,
( e3 != op(op(op(e2,e2),e2),e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f187,plain,
( e3 != op(op(op(e2,e2),e2),e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f188,plain,
( e3 != op(op(op(e2,e2),e2),e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f189,plain,
( e3 != op(op(op(e2,e2),e2),e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f190,plain,
( e0 != op(op(op(e3,e3),e3),e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f191,plain,
( e0 != op(op(op(e3,e3),e3),e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f192,plain,
( e0 != op(op(op(e3,e3),e3),e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f193,plain,
( e0 != op(op(op(e3,e3),e3),e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f194,plain,
( e1 != op(op(op(e3,e3),e3),e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f195,plain,
( e1 != op(op(op(e3,e3),e3),e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f196,plain,
( e1 != op(op(op(e3,e3),e3),e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f197,plain,
( e1 != op(op(op(e3,e3),e3),e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f198,plain,
( e2 != op(op(op(e3,e3),e3),e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f199,plain,
( e2 != op(op(op(e3,e3),e3),e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f198]) ).
fof(f200,plain,
( e2 != op(op(op(e3,e3),e3),e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f201,plain,
( e2 != op(op(op(e3,e3),e3),e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f202,plain,
( ~ pd0_0
| ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1 )
& ( op(e0,e2) != e0
| op(e0,e0) = e2 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3 )
& ( op(e1,e0) != e0
| op(e1,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e2) != e0
| op(e1,e0) = e2 )
& ( op(e1,e3) != e0
| op(e1,e0) = e3 )
& ( op(e2,e0) != e0
| op(e2,e0) = e0 )
& ( op(e2,e1) != e0
| op(e2,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e3) != e0
| op(e2,e0) = e3 )
& ( op(e3,e0) != e0
| op(e3,e0) = e0 )
& ( op(e3,e1) != e0
| op(e3,e0) = e1 )
& ( op(e3,e2) != e0
| op(e3,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e1) != e1
| op(e0,e1) = e1 )
& ( op(e0,e2) != e1
| op(e0,e1) = e2 )
& ( op(e0,e3) != e1
| op(e0,e1) = e3 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e2) != e1
| op(e1,e1) = e2 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3 )
& ( op(e2,e0) != e1
| op(e2,e1) = e0 )
& ( op(e2,e1) != e1
| op(e2,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e3) != e1
| op(e2,e1) = e3 )
& ( op(e3,e0) != e1
| op(e3,e1) = e0 )
& ( op(e3,e1) != e1
| op(e3,e1) = e1 )
& ( op(e3,e2) != e1
| op(e3,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e1) != e2
| op(e0,e2) = e1 )
& ( op(e0,e2) != e2
| op(e0,e2) = e2 )
& ( op(e0,e3) != e2
| op(e0,e2) = e3 )
& ( op(e1,e0) != e2
| op(e1,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e2) != e2
| op(e1,e2) = e2 )
& ( op(e1,e3) != e2
| op(e1,e2) = e3 )
& ( op(e2,e0) != e2
| op(e2,e2) = e0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3 )
& ( op(e3,e0) != e2
| op(e3,e2) = e0 )
& ( op(e3,e1) != e2
| op(e3,e2) = e1 )
& ( op(e3,e2) != e2
| op(e3,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f132]) ).
fof(f203,plain,
( pd0_1
=> ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1 )
& ( op(e0,e2) != e0
| op(e0,e0) = e2 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3 )
& ( op(e1,e0) != e0
| op(e1,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e2) != e0
| op(e1,e0) = e2 )
& ( op(e1,e3) != e0
| op(e1,e0) = e3 )
& ( op(e2,e0) != e0
| op(e2,e0) = e0 )
& ( op(e2,e1) != e0
| op(e2,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e3) != e0
| op(e2,e0) = e3 )
& ( op(e3,e0) != e0
| op(e3,e0) = e0 )
& ( op(e3,e1) != e0
| op(e3,e0) = e1 )
& ( op(e3,e2) != e0
| op(e3,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e1) != e1
| op(e0,e1) = e1 )
& ( op(e0,e2) != e1
| op(e0,e1) = e2 )
& ( op(e0,e3) != e1
| op(e0,e1) = e3 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e2) != e1
| op(e1,e1) = e2 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3 )
& ( op(e2,e0) != e1
| op(e2,e1) = e0 )
& ( op(e2,e1) != e1
| op(e2,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e3) != e1
| op(e2,e1) = e3 )
& ( op(e3,e0) != e1
| op(e3,e1) = e0 )
& ( op(e3,e1) != e1
| op(e3,e1) = e1 )
& ( op(e3,e2) != e1
| op(e3,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ) ),
introduced(predicate_definition,[f202]) ).
fof(f204,plain,
( ~ pd0_0
| pd0_1
| ( ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e1) != e2
| op(e0,e2) = e1 )
& ( op(e0,e2) != e2
| op(e0,e2) = e2 )
& ( op(e0,e3) != e2
| op(e0,e2) = e3 )
& ( op(e1,e0) != e2
| op(e1,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e2) != e2
| op(e1,e2) = e2 )
& ( op(e1,e3) != e2
| op(e1,e2) = e3 )
& ( op(e2,e0) != e2
| op(e2,e2) = e0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3 )
& ( op(e3,e0) != e2
| op(e3,e2) = e0 )
& ( op(e3,e1) != e2
| op(e3,e2) = e1 )
& ( op(e3,e2) != e2
| op(e3,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f202,f203]) ).
fof(f205,plain,
( ~ pd0_0
| pd0_1
| op(e0,e0) != e2
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f206,plain,
( ~ pd0_0
| pd0_1
| op(e0,e1) != e2
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f208,plain,
( ~ pd0_0
| pd0_1
| op(e0,e3) != e2
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f209,plain,
( ~ pd0_0
| pd0_1
| op(e1,e0) != e2
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f210,plain,
( ~ pd0_0
| pd0_1
| op(e1,e1) != e2
| op(e1,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f212,plain,
( ~ pd0_0
| pd0_1
| op(e1,e3) != e2
| op(e1,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f213,plain,
( ~ pd0_0
| pd0_1
| op(e2,e0) != e2
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f214,plain,
( ~ pd0_0
| pd0_1
| op(e2,e1) != e2
| op(e2,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f216,plain,
( ~ pd0_0
| pd0_1
| op(e2,e3) != e2
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f217,plain,
( ~ pd0_0
| pd0_1
| op(e3,e0) != e2
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f218,plain,
( ~ pd0_0
| pd0_1
| op(e3,e1) != e2
| op(e3,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f220,plain,
( ~ pd0_0
| pd0_1
| op(e3,e3) != e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f221,plain,
( ~ pd0_1
| ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1 )
& ( op(e0,e2) != e0
| op(e0,e0) = e2 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3 )
& ( op(e1,e0) != e0
| op(e1,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e2) != e0
| op(e1,e0) = e2 )
& ( op(e1,e3) != e0
| op(e1,e0) = e3 )
& ( op(e2,e0) != e0
| op(e2,e0) = e0 )
& ( op(e2,e1) != e0
| op(e2,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e3) != e0
| op(e2,e0) = e3 )
& ( op(e3,e0) != e0
| op(e3,e0) = e0 )
& ( op(e3,e1) != e0
| op(e3,e0) = e1 )
& ( op(e3,e2) != e0
| op(e3,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e1) != e1
| op(e0,e1) = e1 )
& ( op(e0,e2) != e1
| op(e0,e1) = e2 )
& ( op(e0,e3) != e1
| op(e0,e1) = e3 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e2) != e1
| op(e1,e1) = e2 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3 )
& ( op(e2,e0) != e1
| op(e2,e1) = e0 )
& ( op(e2,e1) != e1
| op(e2,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e3) != e1
| op(e2,e1) = e3 )
& ( op(e3,e0) != e1
| op(e3,e1) = e0 )
& ( op(e3,e1) != e1
| op(e3,e1) = e1 )
& ( op(e3,e2) != e1
| op(e3,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f203]) ).
fof(f222,plain,
( pd0_2
=> ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1 )
& ( op(e0,e2) != e0
| op(e0,e0) = e2 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3 )
& ( op(e1,e0) != e0
| op(e1,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e2) != e0
| op(e1,e0) = e2 )
& ( op(e1,e3) != e0
| op(e1,e0) = e3 )
& ( op(e2,e0) != e0
| op(e2,e0) = e0 )
& ( op(e2,e1) != e0
| op(e2,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e3) != e0
| op(e2,e0) = e3 )
& ( op(e3,e0) != e0
| op(e3,e0) = e0 )
& ( op(e3,e1) != e0
| op(e3,e0) = e1 )
& ( op(e3,e2) != e0
| op(e3,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ),
introduced(predicate_definition,[f221]) ).
fof(f223,plain,
( ~ pd0_1
| pd0_2
| ( ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e1) != e1
| op(e0,e1) = e1 )
& ( op(e0,e2) != e1
| op(e0,e1) = e2 )
& ( op(e0,e3) != e1
| op(e0,e1) = e3 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e2) != e1
| op(e1,e1) = e2 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3 )
& ( op(e2,e0) != e1
| op(e2,e1) = e0 )
& ( op(e2,e1) != e1
| op(e2,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e3) != e1
| op(e2,e1) = e3 )
& ( op(e3,e0) != e1
| op(e3,e1) = e0 )
& ( op(e3,e1) != e1
| op(e3,e1) = e1 )
& ( op(e3,e2) != e1
| op(e3,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) ) ),
inference(formula_renaming,[status(thm)],[f221,f222]) ).
fof(f224,plain,
( ~ pd0_1
| pd0_2
| op(e0,e0) != e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f226,plain,
( ~ pd0_1
| pd0_2
| op(e0,e2) != e1
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f227,plain,
( ~ pd0_1
| pd0_2
| op(e0,e3) != e1
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f228,plain,
( ~ pd0_1
| pd0_2
| op(e1,e0) != e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f230,plain,
( ~ pd0_1
| pd0_2
| op(e1,e2) != e1
| op(e1,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f231,plain,
( ~ pd0_1
| pd0_2
| op(e1,e3) != e1
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f232,plain,
( ~ pd0_1
| pd0_2
| op(e2,e0) != e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f234,plain,
( ~ pd0_1
| pd0_2
| op(e2,e2) != e1
| op(e2,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f235,plain,
( ~ pd0_1
| pd0_2
| op(e2,e3) != e1
| op(e2,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f236,plain,
( ~ pd0_1
| pd0_2
| op(e3,e0) != e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f238,plain,
( ~ pd0_1
| pd0_2
| op(e3,e2) != e1
| op(e3,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f239,plain,
( ~ pd0_1
| pd0_2
| op(e3,e3) != e1
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f240,plain,
( ~ pd0_2
| ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1 )
& ( op(e0,e2) != e0
| op(e0,e0) = e2 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3 )
& ( op(e1,e0) != e0
| op(e1,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e2) != e0
| op(e1,e0) = e2 )
& ( op(e1,e3) != e0
| op(e1,e0) = e3 )
& ( op(e2,e0) != e0
| op(e2,e0) = e0 )
& ( op(e2,e1) != e0
| op(e2,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e3) != e0
| op(e2,e0) = e3 )
& ( op(e3,e0) != e0
| op(e3,e0) = e0 )
& ( op(e3,e1) != e0
| op(e3,e0) = e1 )
& ( op(e3,e2) != e0
| op(e3,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f222]) ).
fof(f242,plain,
( ~ pd0_2
| op(e0,e1) != e0
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f243,plain,
( ~ pd0_2
| op(e0,e2) != e0
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f244,plain,
( ~ pd0_2
| op(e0,e3) != e0
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f246,plain,
( ~ pd0_2
| op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f247,plain,
( ~ pd0_2
| op(e1,e2) != e0
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f248,plain,
( ~ pd0_2
| op(e1,e3) != e0
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f250,plain,
( ~ pd0_2
| op(e2,e1) != e0
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f251,plain,
( ~ pd0_2
| op(e2,e2) != e0
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f252,plain,
( ~ pd0_2
| op(e2,e3) != e0
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f254,plain,
( ~ pd0_2
| op(e3,e1) != e0
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f255,plain,
( ~ pd0_2
| op(e3,e2) != e0
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f256,plain,
( ~ pd0_2
| op(e3,e3) != e0
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f257,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f258,plain,
( op(e0,e0) = e0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f261,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f264,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f267,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f30,f257,f260,f263,f266]) ).
fof(f270,plain,
( spl0_4
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f271,plain,
( op(e0,e1) = e0
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( spl0_5
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f274,plain,
( op(e0,e1) = e1
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,plain,
( spl0_6
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f277,plain,
( op(e0,e1) = e2
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( spl0_7
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f280,plain,
( op(e0,e1) = e3
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f31,f270,f273,f276,f279]) ).
fof(f283,plain,
( spl0_8
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f284,plain,
( op(e0,e2) = e0
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( spl0_9
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f287,plain,
( op(e0,e2) = e1
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( spl0_10
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f290,plain,
( op(e0,e2) = e2
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( spl0_11
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f293,plain,
( op(e0,e2) = e3
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f296,plain,
( spl0_12
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f297,plain,
( op(e0,e3) = e0
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( spl0_13
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f300,plain,
( op(e0,e3) = e1
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( spl0_14
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f303,plain,
( op(e0,e3) = e2
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( spl0_15
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f306,plain,
( op(e0,e3) = e3
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f33,f296,f299,f302,f305]) ).
fof(f309,plain,
( spl0_16
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f310,plain,
( op(e1,e0) = e0
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( spl0_17
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f313,plain,
( op(e1,e0) = e1
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( spl0_18
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f316,plain,
( op(e1,e0) = e2
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( spl0_19
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f319,plain,
( op(e1,e0) = e3
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f322,plain,
( spl0_20
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f323,plain,
( op(e1,e1) = e0
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( spl0_21
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f326,plain,
( op(e1,e1) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( spl0_22
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f329,plain,
( op(e1,e1) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( spl0_23
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f332,plain,
( op(e1,e1) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f35,f322,f325,f328,f331]) ).
fof(f335,plain,
( spl0_24
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f336,plain,
( op(e1,e2) = e0
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( spl0_25
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f339,plain,
( op(e1,e2) = e1
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( spl0_26
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f342,plain,
( op(e1,e2) = e2
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( spl0_27
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f345,plain,
( op(e1,e2) = e3
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f348,plain,
( spl0_28
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f349,plain,
( op(e1,e3) = e0
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( spl0_29
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f352,plain,
( op(e1,e3) = e1
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( spl0_30
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f355,plain,
( op(e1,e3) = e2
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f356,plain,
( op(e1,e3) != e2
| spl0_30 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( spl0_31
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f358,plain,
( op(e1,e3) = e3
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f361,plain,
( spl0_32
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f362,plain,
( op(e2,e0) = e0
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( spl0_33
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f365,plain,
( op(e2,e0) = e1
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( spl0_34
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f368,plain,
( op(e2,e0) = e2
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( spl0_35
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f371,plain,
( op(e2,e0) = e3
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f374,plain,
( spl0_36
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f375,plain,
( op(e2,e1) = e0
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,plain,
( spl0_37
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f378,plain,
( op(e2,e1) = e1
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( spl0_38
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f381,plain,
( op(e2,e1) = e2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( spl0_39
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f384,plain,
( op(e2,e1) = e3
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f387,plain,
( spl0_40
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f388,plain,
( op(e2,e2) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( spl0_41
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f391,plain,
( op(e2,e2) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( spl0_42
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( op(e2,e2) = e2
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( spl0_43
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f397,plain,
( op(e2,e2) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f40,f387,f390,f393,f396]) ).
fof(f400,plain,
( spl0_44
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f401,plain,
( op(e2,e3) = e0
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( spl0_45
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f404,plain,
( op(e2,e3) = e1
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( spl0_46
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f407,plain,
( op(e2,e3) = e2
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( spl0_47
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f410,plain,
( op(e2,e3) = e3
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f413,plain,
( spl0_48
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f414,plain,
( op(e3,e0) = e0
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( spl0_49
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f417,plain,
( op(e3,e0) = e1
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( spl0_50
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f420,plain,
( op(e3,e0) = e2
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( spl0_51
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f423,plain,
( op(e3,e0) = e3
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f426,plain,
( spl0_52
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f427,plain,
( op(e3,e1) = e0
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f428,plain,
( op(e3,e1) != e0
| spl0_52 ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( spl0_53
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f430,plain,
( op(e3,e1) = e1
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( spl0_54
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f433,plain,
( op(e3,e1) = e2
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( spl0_55
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f436,plain,
( op(e3,e1) = e3
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f439,plain,
( spl0_56
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f440,plain,
( op(e3,e2) = e0
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( spl0_57
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f443,plain,
( op(e3,e2) = e1
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( spl0_58
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f446,plain,
( op(e3,e2) = e2
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( spl0_59
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f449,plain,
( op(e3,e2) = e3
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f452,plain,
( spl0_60
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f453,plain,
( op(e3,e3) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( spl0_61
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f456,plain,
( op(e3,e3) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( spl0_62
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f459,plain,
( op(e3,e3) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( spl0_63
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f462,plain,
( op(e3,e3) = e3
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f45,f452,f455,f458,f461]) ).
fof(f465,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f46,f257,f270,f283,f296]) ).
fof(f466,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f47,f257,f309,f361,f413]) ).
fof(f467,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f48,f260,f273,f286,f299]) ).
fof(f468,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f49,f260,f312,f364,f416]) ).
fof(f469,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f50,f263,f276,f289,f302]) ).
fof(f470,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f51,f263,f315,f367,f419]) ).
fof(f471,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f52,f266,f279,f292,f305]) ).
fof(f472,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f53,f266,f318,f370,f422]) ).
fof(f473,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f54,f309,f322,f335,f348]) ).
fof(f474,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f55,f270,f322,f374,f426]) ).
fof(f475,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f56,f312,f325,f338,f351]) ).
fof(f476,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f57,f273,f325,f377,f429]) ).
fof(f477,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f58,f315,f328,f341,f354]) ).
fof(f478,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f59,f276,f328,f380,f432]) ).
fof(f479,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f60,f318,f331,f344,f357]) ).
fof(f480,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f61,f279,f331,f383,f435]) ).
fof(f481,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f62,f361,f374,f387,f400]) ).
fof(f482,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f63,f283,f335,f387,f439]) ).
fof(f483,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f64,f364,f377,f390,f403]) ).
fof(f484,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f65,f286,f338,f390,f442]) ).
fof(f485,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f66,f367,f380,f393,f406]) ).
fof(f486,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f67,f289,f341,f393,f445]) ).
fof(f487,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f68,f370,f383,f396,f409]) ).
fof(f488,plain,
( spl0_11
| spl0_27
| spl0_43
| spl0_59 ),
inference(split_clause,[status(thm)],[f69,f292,f344,f396,f448]) ).
fof(f489,plain,
( spl0_48
| spl0_52
| spl0_56
| spl0_60 ),
inference(split_clause,[status(thm)],[f70,f413,f426,f439,f452]) ).
fof(f490,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f71,f296,f348,f400,f452]) ).
fof(f491,plain,
( spl0_49
| spl0_53
| spl0_57
| spl0_61 ),
inference(split_clause,[status(thm)],[f72,f416,f429,f442,f455]) ).
fof(f492,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f73,f299,f351,f403,f455]) ).
fof(f493,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f74,f419,f432,f445,f458]) ).
fof(f494,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f75,f302,f354,f406,f458]) ).
fof(f495,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f76,f422,f435,f448,f461]) ).
fof(f496,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f77,f305,f357,f409,f461]) ).
fof(f497,plain,
( spl0_64
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f500,plain,
( spl0_64
| ~ spl0_3
| spl0_12 ),
inference(split_clause,[status(thm)],[f138,f497,f266,f296]) ).
fof(f501,plain,
( spl0_64
| ~ spl0_7
| spl0_13 ),
inference(split_clause,[status(thm)],[f139,f497,f279,f299]) ).
fof(f502,plain,
( spl0_64
| ~ spl0_11
| spl0_14 ),
inference(split_clause,[status(thm)],[f140,f497,f292,f302]) ).
fof(f504,plain,
( spl0_64
| ~ spl0_19
| spl0_28 ),
inference(split_clause,[status(thm)],[f142,f497,f318,f348]) ).
fof(f505,plain,
( spl0_64
| ~ spl0_23
| spl0_29 ),
inference(split_clause,[status(thm)],[f143,f497,f331,f351]) ).
fof(f506,plain,
( spl0_64
| ~ spl0_27
| spl0_30 ),
inference(split_clause,[status(thm)],[f144,f497,f344,f354]) ).
fof(f508,plain,
( spl0_64
| ~ spl0_35
| spl0_44 ),
inference(split_clause,[status(thm)],[f146,f497,f370,f400]) ).
fof(f509,plain,
( spl0_64
| ~ spl0_39
| spl0_45 ),
inference(split_clause,[status(thm)],[f147,f497,f383,f403]) ).
fof(f510,plain,
( spl0_64
| ~ spl0_43
| spl0_46 ),
inference(split_clause,[status(thm)],[f148,f497,f396,f406]) ).
fof(f512,plain,
( spl0_64
| ~ spl0_51
| spl0_60 ),
inference(split_clause,[status(thm)],[f150,f497,f422,f452]) ).
fof(f513,plain,
( spl0_64
| ~ spl0_55
| spl0_61 ),
inference(split_clause,[status(thm)],[f151,f497,f435,f455]) ).
fof(f514,plain,
( spl0_64
| ~ spl0_59
| spl0_62 ),
inference(split_clause,[status(thm)],[f152,f497,f448,f458]) ).
fof(f516,plain,
( spl0_65
<=> e1 = op(op(op(e0,e0),e0),e0) ),
introduced(split_symbol_definition) ).
fof(f517,plain,
( e1 = op(op(op(e0,e0),e0),e0)
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f518,plain,
( e1 != op(op(op(e0,e0),e0),e0)
| spl0_65 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( spl0_66
<=> e2 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f521,plain,
( e2 != op(op(e0,e0),e0)
| spl0_66 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( ~ spl0_65
| ~ spl0_66
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f155,f516,f519,f266]) ).
fof(f523,plain,
( spl0_67
<=> e3 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f524,plain,
( e3 = op(op(e0,e0),e0)
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f525,plain,
( e3 != op(op(e0,e0),e0)
| spl0_67 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( ~ spl0_65
| ~ spl0_67
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f157,f516,f523,f263]) ).
fof(f527,plain,
( spl0_68
<=> e2 = op(op(op(e0,e0),e0),e0) ),
introduced(split_symbol_definition) ).
fof(f528,plain,
( e2 = op(op(op(e0,e0),e0),e0)
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f529,plain,
( e2 != op(op(op(e0,e0),e0),e0)
| spl0_68 ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,plain,
( spl0_69
<=> e1 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f531,plain,
( e1 = op(op(e0,e0),e0)
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f532,plain,
( e1 != op(op(e0,e0),e0)
| spl0_69 ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( ~ spl0_68
| ~ spl0_69
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f159,f527,f530,f266]) ).
fof(f534,plain,
( ~ spl0_68
| ~ spl0_67
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f161,f527,f523,f260]) ).
fof(f535,plain,
( spl0_70
<=> e3 = op(op(op(e0,e0),e0),e0) ),
introduced(split_symbol_definition) ).
fof(f536,plain,
( e3 = op(op(op(e0,e0),e0),e0)
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f537,plain,
( e3 != op(op(op(e0,e0),e0),e0)
| spl0_70 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( ~ spl0_70
| ~ spl0_69
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f163,f535,f530,f263]) ).
fof(f539,plain,
( ~ spl0_70
| ~ spl0_66
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f165,f535,f519,f260]) ).
fof(f540,plain,
( spl0_71
<=> e0 = op(op(op(e1,e1),e1),e1) ),
introduced(split_symbol_definition) ).
fof(f542,plain,
( e0 != op(op(op(e1,e1),e1),e1)
| spl0_71 ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,plain,
( spl0_72
<=> e2 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f545,plain,
( e2 != op(op(e1,e1),e1)
| spl0_72 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( ~ spl0_71
| ~ spl0_72
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f167,f540,f543,f331]) ).
fof(f547,plain,
( spl0_73
<=> e3 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f549,plain,
( e3 != op(op(e1,e1),e1)
| spl0_73 ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,plain,
( ~ spl0_71
| ~ spl0_73
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f169,f540,f547,f328]) ).
fof(f551,plain,
( spl0_74
<=> e2 = op(op(op(e1,e1),e1),e1) ),
introduced(split_symbol_definition) ).
fof(f553,plain,
( e2 != op(op(op(e1,e1),e1),e1)
| spl0_74 ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( spl0_75
<=> e0 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f555,plain,
( e0 = op(op(e1,e1),e1)
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f556,plain,
( e0 != op(op(e1,e1),e1)
| spl0_75 ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,plain,
( ~ spl0_74
| ~ spl0_75
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f171,f551,f554,f331]) ).
fof(f558,plain,
( ~ spl0_74
| ~ spl0_73
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f173,f551,f547,f322]) ).
fof(f559,plain,
( spl0_76
<=> e3 = op(op(op(e1,e1),e1),e1) ),
introduced(split_symbol_definition) ).
fof(f561,plain,
( e3 != op(op(op(e1,e1),e1),e1)
| spl0_76 ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,plain,
( ~ spl0_76
| ~ spl0_75
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f175,f559,f554,f328]) ).
fof(f563,plain,
( ~ spl0_76
| ~ spl0_72
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f177,f559,f543,f322]) ).
fof(f564,plain,
( spl0_77
<=> e0 = op(op(op(e2,e2),e2),e2) ),
introduced(split_symbol_definition) ).
fof(f565,plain,
( e0 = op(op(op(e2,e2),e2),e2)
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f566,plain,
( e0 != op(op(op(e2,e2),e2),e2)
| spl0_77 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( spl0_78
<=> e1 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f569,plain,
( e1 != op(op(e2,e2),e2)
| spl0_78 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( ~ spl0_77
| ~ spl0_78
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f179,f564,f567,f396]) ).
fof(f571,plain,
( spl0_79
<=> e3 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f572,plain,
( e3 = op(op(e2,e2),e2)
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f573,plain,
( e3 != op(op(e2,e2),e2)
| spl0_79 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( ~ spl0_77
| ~ spl0_79
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f181,f564,f571,f390]) ).
fof(f575,plain,
( spl0_80
<=> e1 = op(op(op(e2,e2),e2),e2) ),
introduced(split_symbol_definition) ).
fof(f577,plain,
( e1 != op(op(op(e2,e2),e2),e2)
| spl0_80 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( spl0_81
<=> e0 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f579,plain,
( e0 = op(op(e2,e2),e2)
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f580,plain,
( e0 != op(op(e2,e2),e2)
| spl0_81 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,plain,
( ~ spl0_80
| ~ spl0_81
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f183,f575,f578,f396]) ).
fof(f582,plain,
( ~ spl0_80
| ~ spl0_79
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f185,f575,f571,f387]) ).
fof(f583,plain,
( spl0_82
<=> e3 = op(op(op(e2,e2),e2),e2) ),
introduced(split_symbol_definition) ).
fof(f585,plain,
( e3 != op(op(op(e2,e2),e2),e2)
| spl0_82 ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,plain,
( ~ spl0_82
| ~ spl0_81
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f187,f583,f578,f390]) ).
fof(f587,plain,
( ~ spl0_82
| ~ spl0_78
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f189,f583,f567,f387]) ).
fof(f588,plain,
( spl0_83
<=> e0 = op(op(op(e3,e3),e3),e3) ),
introduced(split_symbol_definition) ).
fof(f590,plain,
( e0 != op(op(op(e3,e3),e3),e3)
| spl0_83 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,plain,
( spl0_84
<=> e1 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f592,plain,
( e1 = op(op(e3,e3),e3)
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f593,plain,
( e1 != op(op(e3,e3),e3)
| spl0_84 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,plain,
( ~ spl0_83
| ~ spl0_84
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f191,f588,f591,f458]) ).
fof(f595,plain,
( spl0_85
<=> e2 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f596,plain,
( e2 = op(op(e3,e3),e3)
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f597,plain,
( e2 != op(op(e3,e3),e3)
| spl0_85 ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( ~ spl0_83
| ~ spl0_85
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f193,f588,f595,f455]) ).
fof(f599,plain,
( spl0_86
<=> e1 = op(op(op(e3,e3),e3),e3) ),
introduced(split_symbol_definition) ).
fof(f601,plain,
( e1 != op(op(op(e3,e3),e3),e3)
| spl0_86 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( spl0_87
<=> e0 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f603,plain,
( e0 = op(op(e3,e3),e3)
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f604,plain,
( e0 != op(op(e3,e3),e3)
| spl0_87 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,plain,
( ~ spl0_86
| ~ spl0_87
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f195,f599,f602,f458]) ).
fof(f606,plain,
( ~ spl0_86
| ~ spl0_85
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f197,f599,f595,f452]) ).
fof(f607,plain,
( spl0_88
<=> e2 = op(op(op(e3,e3),e3),e3) ),
introduced(split_symbol_definition) ).
fof(f609,plain,
( e2 != op(op(op(e3,e3),e3),e3)
| spl0_88 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,plain,
( ~ spl0_88
| ~ spl0_87
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f199,f607,f602,f455]) ).
fof(f611,plain,
( ~ spl0_88
| ~ spl0_84
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f201,f607,f591,f452]) ).
fof(f612,plain,
( spl0_89
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f615,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_2
| spl0_8 ),
inference(split_clause,[status(thm)],[f205,f497,f612,f263,f283]) ).
fof(f616,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_6
| spl0_9 ),
inference(split_clause,[status(thm)],[f206,f497,f612,f276,f286]) ).
fof(f618,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_14
| spl0_11 ),
inference(split_clause,[status(thm)],[f208,f497,f612,f302,f292]) ).
fof(f619,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_18
| spl0_24 ),
inference(split_clause,[status(thm)],[f209,f497,f612,f315,f335]) ).
fof(f620,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_22
| spl0_25 ),
inference(split_clause,[status(thm)],[f210,f497,f612,f328,f338]) ).
fof(f622,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_30
| spl0_27 ),
inference(split_clause,[status(thm)],[f212,f497,f612,f354,f344]) ).
fof(f623,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_34
| spl0_40 ),
inference(split_clause,[status(thm)],[f213,f497,f612,f367,f387]) ).
fof(f624,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_38
| spl0_41 ),
inference(split_clause,[status(thm)],[f214,f497,f612,f380,f390]) ).
fof(f626,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_46
| spl0_43 ),
inference(split_clause,[status(thm)],[f216,f497,f612,f406,f396]) ).
fof(f627,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_50
| spl0_56 ),
inference(split_clause,[status(thm)],[f217,f497,f612,f419,f439]) ).
fof(f628,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_54
| spl0_57 ),
inference(split_clause,[status(thm)],[f218,f497,f612,f432,f442]) ).
fof(f630,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_62
| spl0_59 ),
inference(split_clause,[status(thm)],[f220,f497,f612,f458,f448]) ).
fof(f631,plain,
( spl0_90
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f634,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_1
| spl0_4 ),
inference(split_clause,[status(thm)],[f224,f612,f631,f260,f270]) ).
fof(f636,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_9
| spl0_6 ),
inference(split_clause,[status(thm)],[f226,f612,f631,f286,f276]) ).
fof(f637,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_13
| spl0_7 ),
inference(split_clause,[status(thm)],[f227,f612,f631,f299,f279]) ).
fof(f638,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_17
| spl0_20 ),
inference(split_clause,[status(thm)],[f228,f612,f631,f312,f322]) ).
fof(f640,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_25
| spl0_22 ),
inference(split_clause,[status(thm)],[f230,f612,f631,f338,f328]) ).
fof(f641,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_29
| spl0_23 ),
inference(split_clause,[status(thm)],[f231,f612,f631,f351,f331]) ).
fof(f642,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_33
| spl0_36 ),
inference(split_clause,[status(thm)],[f232,f612,f631,f364,f374]) ).
fof(f644,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_41
| spl0_38 ),
inference(split_clause,[status(thm)],[f234,f612,f631,f390,f380]) ).
fof(f645,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_45
| spl0_39 ),
inference(split_clause,[status(thm)],[f235,f612,f631,f403,f383]) ).
fof(f646,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_49
| spl0_52 ),
inference(split_clause,[status(thm)],[f236,f612,f631,f416,f426]) ).
fof(f648,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_57
| spl0_54 ),
inference(split_clause,[status(thm)],[f238,f612,f631,f442,f432]) ).
fof(f649,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_61
| spl0_55 ),
inference(split_clause,[status(thm)],[f239,f612,f631,f455,f435]) ).
fof(f651,plain,
( ~ spl0_90
| ~ spl0_4
| spl0_1 ),
inference(split_clause,[status(thm)],[f242,f631,f270,f260]) ).
fof(f652,plain,
( ~ spl0_90
| ~ spl0_8
| spl0_2 ),
inference(split_clause,[status(thm)],[f243,f631,f283,f263]) ).
fof(f653,plain,
( ~ spl0_90
| ~ spl0_12
| spl0_3 ),
inference(split_clause,[status(thm)],[f244,f631,f296,f266]) ).
fof(f655,plain,
( ~ spl0_90
| ~ spl0_20
| spl0_17 ),
inference(split_clause,[status(thm)],[f246,f631,f322,f312]) ).
fof(f656,plain,
( ~ spl0_90
| ~ spl0_24
| spl0_18 ),
inference(split_clause,[status(thm)],[f247,f631,f335,f315]) ).
fof(f657,plain,
( ~ spl0_90
| ~ spl0_28
| spl0_19 ),
inference(split_clause,[status(thm)],[f248,f631,f348,f318]) ).
fof(f659,plain,
( ~ spl0_90
| ~ spl0_36
| spl0_33 ),
inference(split_clause,[status(thm)],[f250,f631,f374,f364]) ).
fof(f660,plain,
( ~ spl0_90
| ~ spl0_40
| spl0_34 ),
inference(split_clause,[status(thm)],[f251,f631,f387,f367]) ).
fof(f661,plain,
( ~ spl0_90
| ~ spl0_44
| spl0_35 ),
inference(split_clause,[status(thm)],[f252,f631,f400,f370]) ).
fof(f663,plain,
( ~ spl0_90
| ~ spl0_52
| spl0_49 ),
inference(split_clause,[status(thm)],[f254,f631,f426,f416]) ).
fof(f664,plain,
( ~ spl0_90
| ~ spl0_56
| spl0_50 ),
inference(split_clause,[status(thm)],[f255,f631,f439,f419]) ).
fof(f665,plain,
( ~ spl0_90
| ~ spl0_60
| spl0_51 ),
inference(split_clause,[status(thm)],[f256,f631,f452,f422]) ).
fof(f666,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f462,f137]) ).
fof(f667,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f666]) ).
fof(f668,plain,
( $false
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f394,f136]) ).
fof(f669,plain,
~ spl0_42,
inference(contradiction_clause,[status(thm)],[f668]) ).
fof(f670,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f326,f135]) ).
fof(f671,plain,
~ spl0_21,
inference(contradiction_clause,[status(thm)],[f670]) ).
fof(f672,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f258,f134]) ).
fof(f673,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f672]) ).
fof(f674,plain,
( e0 = e3
| ~ spl0_48
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f414,f423]) ).
fof(f675,plain,
( $false
| ~ spl0_48
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f674,f128]) ).
fof(f676,plain,
( ~ spl0_48
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f675]) ).
fof(f677,plain,
( e0 = e3
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f362,f371]) ).
fof(f678,plain,
( $false
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f677,f128]) ).
fof(f679,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f678]) ).
fof(f680,plain,
( e0 = e3
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f310,f319]) ).
fof(f681,plain,
( $false
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f680,f128]) ).
fof(f682,plain,
( ~ spl0_16
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f681]) ).
fof(f683,plain,
( e0 = e3
| ~ spl0_52
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f427,f436]) ).
fof(f684,plain,
( $false
| ~ spl0_52
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f683,f128]) ).
fof(f685,plain,
( ~ spl0_52
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f684]) ).
fof(f686,plain,
( e0 = e1
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f440,f443]) ).
fof(f687,plain,
( $false
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f686,f126]) ).
fof(f688,plain,
( ~ spl0_56
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f687]) ).
fof(f689,plain,
( e0 = e2
| ~ spl0_36
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f375,f381]) ).
fof(f690,plain,
( $false
| ~ spl0_36
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f689,f127]) ).
fof(f691,plain,
( ~ spl0_36
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f690]) ).
fof(f692,plain,
( e0 = e1
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f349,f352]) ).
fof(f693,plain,
( $false
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f692,f126]) ).
fof(f694,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f693]) ).
fof(f695,plain,
( e0 = e1
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f336,f339]) ).
fof(f696,plain,
( $false
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f695,f126]) ).
fof(f697,plain,
( ~ spl0_24
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f696]) ).
fof(f698,plain,
( e0 = e1
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f297,f300]) ).
fof(f699,plain,
( $false
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f126]) ).
fof(f700,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f699]) ).
fof(f701,plain,
( e0 = e2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f271,f277]) ).
fof(f702,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f701,f127]) ).
fof(f703,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f702]) ).
fof(f704,plain,
( e0 = e1
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f284,f287]) ).
fof(f705,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f704,f126]) ).
fof(f706,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f705]) ).
fof(f707,plain,
( e1 = e2
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f404,f407]) ).
fof(f708,plain,
( $false
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f707,f129]) ).
fof(f709,plain,
( ~ spl0_45
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f708]) ).
fof(f710,plain,
( e1 = e2
| ~ spl0_61
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f456,f459]) ).
fof(f711,plain,
( $false
| ~ spl0_61
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f710,f129]) ).
fof(f712,plain,
( ~ spl0_61
| ~ spl0_62 ),
inference(contradiction_clause,[status(thm)],[f711]) ).
fof(f713,plain,
( e0 = e1
| ~ spl0_40
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f388,f391]) ).
fof(f714,plain,
( $false
| ~ spl0_40
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f713,f126]) ).
fof(f715,plain,
( ~ spl0_40
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f714]) ).
fof(f717,plain,
( e1 = e2
| ~ spl0_49
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f417,f420]) ).
fof(f718,plain,
( $false
| ~ spl0_49
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f717,f129]) ).
fof(f719,plain,
( ~ spl0_49
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f718]) ).
fof(f720,plain,
( e0 = e3
| ~ spl0_44
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f401,f410]) ).
fof(f721,plain,
( $false
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f720,f128]) ).
fof(f722,plain,
( ~ spl0_44
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f721]) ).
fof(f723,plain,
( e2 = e3
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f355,f358]) ).
fof(f724,plain,
( $false
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f723,f131]) ).
fof(f725,plain,
( ~ spl0_30
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f724]) ).
fof(f727,plain,
( e1 = e3
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f300,f306]) ).
fof(f728,plain,
( $false
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f727,f130]) ).
fof(f729,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f728]) ).
fof(f731,plain,
( e1 = e3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f274,f280]) ).
fof(f732,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f731,f130]) ).
fof(f733,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f732]) ).
fof(f736,plain,
( e1 != op(op(e1,e0),e0)
| ~ spl0_1
| spl0_65 ),
inference(backward_demodulation,[status(thm)],[f261,f518]) ).
fof(f737,plain,
( e1 != op(e1,e0)
| ~ spl0_17
| ~ spl0_1
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f313,f736]) ).
fof(f738,plain,
( e1 != e1
| ~ spl0_17
| ~ spl0_1
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f313,f737]) ).
fof(f739,plain,
( $false
| ~ spl0_17
| ~ spl0_1
| spl0_65 ),
inference(trivial_equality_resolution,[status(esa)],[f738]) ).
fof(f740,plain,
( ~ spl0_17
| ~ spl0_1
| spl0_65 ),
inference(contradiction_clause,[status(thm)],[f739]) ).
fof(f745,plain,
( e2 != op(e0,e3)
| ~ spl0_60
| spl0_85 ),
inference(forward_demodulation,[status(thm)],[f453,f597]) ).
fof(f747,plain,
( e2 != op(op(e0,e3),e3)
| ~ spl0_60
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f453,f609]) ).
fof(f748,plain,
( e2 != op(e1,e3)
| ~ spl0_13
| ~ spl0_60
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f300,f747]) ).
fof(f749,plain,
( e1 != op(e0,e3)
| ~ spl0_60
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f453,f593]) ).
fof(f750,plain,
( e1 != e1
| ~ spl0_13
| ~ spl0_60
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f300,f749]) ).
fof(f751,plain,
( $false
| ~ spl0_13
| ~ spl0_60
| spl0_84 ),
inference(trivial_equality_resolution,[status(esa)],[f750]) ).
fof(f752,plain,
( ~ spl0_13
| ~ spl0_60
| spl0_84 ),
inference(contradiction_clause,[status(thm)],[f751]) ).
fof(f755,plain,
( e1 = e2
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f430,f433]) ).
fof(f756,plain,
( $false
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f755,f129]) ).
fof(f757,plain,
( ~ spl0_53
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f756]) ).
fof(f762,plain,
( e3 != op(e3,e2)
| ~ spl0_43
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f397,f573]) ).
fof(f764,plain,
( e3 != op(op(e3,e2),e2)
| ~ spl0_43
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f397,f585]) ).
fof(f767,plain,
( e1 != op(e3,e2)
| ~ spl0_43
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f397,f569]) ).
fof(f768,plain,
( e1 != e1
| ~ spl0_57
| ~ spl0_43
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f443,f767]) ).
fof(f769,plain,
( $false
| ~ spl0_57
| ~ spl0_43
| spl0_78 ),
inference(trivial_equality_resolution,[status(esa)],[f768]) ).
fof(f770,plain,
( ~ spl0_57
| ~ spl0_43
| spl0_78 ),
inference(contradiction_clause,[status(thm)],[f769]) ).
fof(f775,plain,
( e1 = e3
| ~ spl0_57
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f443,f449]) ).
fof(f776,plain,
( $false
| ~ spl0_57
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f775,f130]) ).
fof(f777,plain,
( ~ spl0_57
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f776]) ).
fof(f778,plain,
( e1 = e3
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f378,f384]) ).
fof(f779,plain,
( $false
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f778,f130]) ).
fof(f780,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f779]) ).
fof(f785,plain,
( e3 != op(e1,e2)
| ~ spl0_41
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f391,f573]) ).
fof(f787,plain,
( e1 != op(op(e1,e2),e2)
| ~ spl0_41
| spl0_80 ),
inference(forward_demodulation,[status(thm)],[f391,f577]) ).
fof(f788,plain,
( e1 != op(e2,e2)
| ~ spl0_26
| ~ spl0_41
| spl0_80 ),
inference(forward_demodulation,[status(thm)],[f342,f787]) ).
fof(f789,plain,
( e1 != e1
| ~ spl0_26
| ~ spl0_41
| spl0_80 ),
inference(forward_demodulation,[status(thm)],[f391,f788]) ).
fof(f790,plain,
( $false
| ~ spl0_26
| ~ spl0_41
| spl0_80 ),
inference(trivial_equality_resolution,[status(esa)],[f789]) ).
fof(f791,plain,
( ~ spl0_26
| ~ spl0_41
| spl0_80 ),
inference(contradiction_clause,[status(thm)],[f790]) ).
fof(f792,plain,
( e1 = e2
| ~ spl0_33
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f365,f368]) ).
fof(f793,plain,
( $false
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f792,f129]) ).
fof(f794,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f793]) ).
fof(f798,plain,
( e2 = e3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f290,f293]) ).
fof(f799,plain,
( $false
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f798,f131]) ).
fof(f800,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f799]) ).
fof(f803,plain,
( e0 != op(e0,e3)
| ~ spl0_60
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f453,f604]) ).
fof(f804,plain,
( ~ spl0_12
| ~ spl0_60
| spl0_87 ),
inference(split_clause,[status(thm)],[f803,f296,f452,f602]) ).
fof(f806,plain,
( e2 != e2
| ~ spl0_14
| ~ spl0_60
| spl0_85 ),
inference(forward_demodulation,[status(thm)],[f303,f745]) ).
fof(f807,plain,
( $false
| ~ spl0_14
| ~ spl0_60
| spl0_85 ),
inference(trivial_equality_resolution,[status(esa)],[f806]) ).
fof(f808,plain,
( ~ spl0_14
| ~ spl0_60
| spl0_85 ),
inference(contradiction_clause,[status(thm)],[f807]) ).
fof(f817,plain,
( ~ spl0_27
| ~ spl0_41
| spl0_79 ),
inference(split_clause,[status(thm)],[f785,f344,f390,f571]) ).
fof(f820,plain,
( e0 = e2
| ~ spl0_16
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f310,f316]) ).
fof(f821,plain,
( $false
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f820,f127]) ).
fof(f822,plain,
( ~ spl0_16
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f821]) ).
fof(f823,plain,
( e1 = e3
| ~ spl0_25
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f339,f345]) ).
fof(f824,plain,
( $false
| ~ spl0_25
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f823,f130]) ).
fof(f825,plain,
( ~ spl0_25
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f824]) ).
fof(f832,plain,
( e0 = op(e0,e3)
| ~ spl0_60
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f453,f603]) ).
fof(f839,plain,
( e3 != op(e0,e2)
| ~ spl0_40
| spl0_79 ),
inference(backward_demodulation,[status(thm)],[f388,f573]) ).
fof(f840,plain,
( e1 != op(e0,e2)
| ~ spl0_40
| spl0_78 ),
inference(backward_demodulation,[status(thm)],[f388,f569]) ).
fof(f841,plain,
( ~ spl0_9
| ~ spl0_40
| spl0_78 ),
inference(split_clause,[status(thm)],[f840,f286,f387,f567]) ).
fof(f842,plain,
( e1 = e2
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f287,f290]) ).
fof(f843,plain,
( $false
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f842,f129]) ).
fof(f844,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( e2 = e3
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f342,f345]) ).
fof(f847,plain,
( $false
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f846,f131]) ).
fof(f848,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f847]) ).
fof(f851,plain,
( e1 = e3
| ~ spl0_49
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f417,f423]) ).
fof(f852,plain,
( $false
| ~ spl0_49
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f851,f130]) ).
fof(f853,plain,
( ~ spl0_49
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f852]) ).
fof(f857,plain,
( e2 != op(op(e2,e0),e0)
| ~ spl0_2
| spl0_68 ),
inference(backward_demodulation,[status(thm)],[f264,f529]) ).
fof(f858,plain,
( e2 != op(e0,e0)
| ~ spl0_32
| ~ spl0_2
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f362,f857]) ).
fof(f859,plain,
( $false
| ~ spl0_32
| spl0_68
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f264,f858]) ).
fof(f860,plain,
( ~ spl0_32
| spl0_68
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f859]) ).
fof(f864,plain,
( e2 = e3
| ~ spl0_58
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f446,f449]) ).
fof(f865,plain,
( $false
| ~ spl0_58
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f864,f131]) ).
fof(f866,plain,
( ~ spl0_58
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f865]) ).
fof(f867,plain,
( e0 = e1
| ~ spl0_4
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f271,f274]) ).
fof(f868,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f867,f126]) ).
fof(f869,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f868]) ).
fof(f872,plain,
( e0 != op(e2,e1)
| ~ spl0_22
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f329,f556]) ).
fof(f873,plain,
( ~ spl0_36
| ~ spl0_22
| spl0_75 ),
inference(split_clause,[status(thm)],[f872,f374,f328,f554]) ).
fof(f875,plain,
( e2 = e3
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f316,f319]) ).
fof(f876,plain,
( $false
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f875,f131]) ).
fof(f877,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f876]) ).
fof(f882,plain,
( e0 != op(op(e1,e3),e3)
| ~ spl0_61
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f456,f590]) ).
fof(f884,plain,
( e0 != op(op(e0,e1),e1)
| ~ spl0_20
| spl0_71 ),
inference(backward_demodulation,[status(thm)],[f323,f542]) ).
fof(f885,plain,
( e2 != op(op(e0,e1),e1)
| ~ spl0_20
| spl0_74 ),
inference(backward_demodulation,[status(thm)],[f323,f553]) ).
fof(f886,plain,
( e2 != op(e3,e1)
| ~ spl0_7
| ~ spl0_20
| spl0_74 ),
inference(forward_demodulation,[status(thm)],[f280,f885]) ).
fof(f887,plain,
( e3 != op(op(e0,e1),e1)
| ~ spl0_20
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f323,f561]) ).
fof(f897,plain,
( e3 = op(e1,e2)
| ~ spl0_41
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f391,f572]) ).
fof(f901,plain,
( e0 = e2
| ~ spl0_48
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f414,f420]) ).
fof(f902,plain,
( $false
| ~ spl0_48
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f901,f127]) ).
fof(f903,plain,
( ~ spl0_48
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f902]) ).
fof(f908,plain,
( e2 = e3
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f381,f384]) ).
fof(f909,plain,
( $false
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f908,f131]) ).
fof(f910,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f909]) ).
fof(f916,plain,
( e0 != op(op(e0,e2),e2)
| ~ spl0_40
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f388,f566]) ).
fof(f917,plain,
( e0 != op(e2,e2)
| ~ spl0_10
| ~ spl0_40
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f290,f916]) ).
fof(f918,plain,
( e0 != e0
| ~ spl0_10
| ~ spl0_40
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f388,f917]) ).
fof(f919,plain,
( $false
| ~ spl0_10
| ~ spl0_40
| spl0_77 ),
inference(trivial_equality_resolution,[status(esa)],[f918]) ).
fof(f920,plain,
( ~ spl0_10
| ~ spl0_40
| spl0_77 ),
inference(contradiction_clause,[status(thm)],[f919]) ).
fof(f934,plain,
( e1 = e2
| ~ spl0_29
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f352,f355]) ).
fof(f935,plain,
( $false
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f934,f129]) ).
fof(f936,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f935]) ).
fof(f949,plain,
( e1 != op(e1,e0)
| ~ spl0_1
| spl0_69 ),
inference(backward_demodulation,[status(thm)],[f261,f532]) ).
fof(f950,plain,
( ~ spl0_17
| ~ spl0_1
| spl0_69 ),
inference(split_clause,[status(thm)],[f949,f312,f260,f530]) ).
fof(f953,plain,
( e2 = e1
| ~ spl0_65
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f517,f528]) ).
fof(f954,plain,
( $false
| ~ spl0_65
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f953,f129]) ).
fof(f955,plain,
( ~ spl0_65
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f954]) ).
fof(f956,plain,
( e1 != op(op(e0,e2),e2)
| ~ spl0_40
| spl0_80 ),
inference(backward_demodulation,[status(thm)],[f388,f577]) ).
fof(f958,plain,
( e1 != op(e0,e2)
| ~ spl0_81
| spl0_80 ),
inference(forward_demodulation,[status(thm)],[f579,f577]) ).
fof(f965,plain,
( ~ spl0_11
| ~ spl0_40
| spl0_79 ),
inference(split_clause,[status(thm)],[f839,f292,f387,f571]) ).
fof(f972,plain,
( e2 = e3
| ~ spl0_46
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f407,f410]) ).
fof(f973,plain,
( $false
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f972,f131]) ).
fof(f974,plain,
( ~ spl0_46
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f973]) ).
fof(f981,plain,
( e1 != op(e3,e2)
| ~ spl0_11
| ~ spl0_40
| spl0_80 ),
inference(backward_demodulation,[status(thm)],[f293,f956]) ).
fof(f982,plain,
( ~ spl0_57
| ~ spl0_11
| ~ spl0_40
| spl0_80 ),
inference(split_clause,[status(thm)],[f981,f442,f292,f387,f575]) ).
fof(f988,plain,
( e3 != op(e1,e0)
| ~ spl0_1
| spl0_67 ),
inference(backward_demodulation,[status(thm)],[f261,f525]) ).
fof(f1000,plain,
( e3 != op(e3,e0)
| ~ spl0_3
| spl0_67 ),
inference(backward_demodulation,[status(thm)],[f267,f525]) ).
fof(f1006,plain,
( e0 != op(e1,e2)
| ~ spl0_41
| spl0_81 ),
inference(backward_demodulation,[status(thm)],[f391,f580]) ).
fof(f1007,plain,
( ~ spl0_24
| ~ spl0_41
| spl0_81 ),
inference(split_clause,[status(thm)],[f1006,f335,f390,f578]) ).
fof(f1013,plain,
( e2 = e3
| ~ spl0_54
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f433,f436]) ).
fof(f1014,plain,
( $false
| ~ spl0_54
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f1013,f131]) ).
fof(f1015,plain,
( ~ spl0_54
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f1014]) ).
fof(f1016,plain,
( e1 = e2
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f378,f381]) ).
fof(f1017,plain,
( $false
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1016,f129]) ).
fof(f1018,plain,
( ~ spl0_37
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1017]) ).
fof(f1024,plain,
( e2 != op(e0,e1)
| ~ spl0_75
| spl0_74 ),
inference(backward_demodulation,[status(thm)],[f555,f553]) ).
fof(f1025,plain,
( ~ spl0_6
| ~ spl0_75
| spl0_74 ),
inference(split_clause,[status(thm)],[f1024,f276,f554,f551]) ).
fof(f1027,plain,
( e0 = op(e3,e1)
| ~ spl0_23
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f332,f555]) ).
fof(f1028,plain,
( $false
| spl0_52
| ~ spl0_23
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f1027,f428]) ).
fof(f1029,plain,
( spl0_52
| ~ spl0_23
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f1028]) ).
fof(f1032,plain,
( e1 != op(e2,e0)
| ~ spl0_2
| spl0_69 ),
inference(backward_demodulation,[status(thm)],[f264,f532]) ).
fof(f1033,plain,
( ~ spl0_33
| ~ spl0_2
| spl0_69 ),
inference(split_clause,[status(thm)],[f1032,f364,f263,f530]) ).
fof(f1041,plain,
( e1 = e2
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f313,f316]) ).
fof(f1042,plain,
( $false
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f1041,f129]) ).
fof(f1043,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f1042]) ).
fof(f1044,plain,
( e3 != op(e2,e0)
| ~ spl0_2
| spl0_67 ),
inference(backward_demodulation,[status(thm)],[f264,f525]) ).
fof(f1045,plain,
( ~ spl0_35
| ~ spl0_2
| spl0_67 ),
inference(split_clause,[status(thm)],[f1044,f370,f263,f523]) ).
fof(f1053,plain,
( ~ spl0_19
| ~ spl0_1
| spl0_67 ),
inference(split_clause,[status(thm)],[f988,f318,f260,f523]) ).
fof(f1058,plain,
( e0 = e1
| ~ spl0_52
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f427,f430]) ).
fof(f1059,plain,
( $false
| ~ spl0_52
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f1058,f126]) ).
fof(f1060,plain,
( ~ spl0_52
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f1059]) ).
fof(f1072,plain,
( e0 = op(op(e0,e2),e2)
| ~ spl0_40
| ~ spl0_77 ),
inference(backward_demodulation,[status(thm)],[f388,f565]) ).
fof(f1074,plain,
( ~ spl0_30
| ~ spl0_13
| ~ spl0_60
| spl0_88 ),
inference(split_clause,[status(thm)],[f748,f354,f299,f452,f607]) ).
fof(f1075,plain,
( e1 = e2
| ~ spl0_57
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f443,f446]) ).
fof(f1076,plain,
( $false
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f1075,f129]) ).
fof(f1077,plain,
( ~ spl0_57
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f1076]) ).
fof(f1079,plain,
( e0 = e3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f271,f280]) ).
fof(f1080,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1079,f128]) ).
fof(f1081,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1080]) ).
fof(f1089,plain,
( e0 = e3
| ~ spl0_28
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f349,f358]) ).
fof(f1090,plain,
( $false
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1089,f128]) ).
fof(f1091,plain,
( ~ spl0_28
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f1090]) ).
fof(f1093,plain,
( e0 = e2
| ~ spl0_32
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f362,f368]) ).
fof(f1094,plain,
( $false
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f1093,f127]) ).
fof(f1095,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f1094]) ).
fof(f1097,plain,
( e1 = e3
| ~ spl0_29
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f352,f358]) ).
fof(f1098,plain,
( $false
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1097,f130]) ).
fof(f1099,plain,
( ~ spl0_29
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f1098]) ).
fof(f1107,plain,
( e2 != op(e3,e0)
| ~ spl0_3
| spl0_66 ),
inference(backward_demodulation,[status(thm)],[f267,f521]) ).
fof(f1109,plain,
( e3 != op(e2,e1)
| ~ spl0_22
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f329,f549]) ).
fof(f1115,plain,
( e0 != op(e1,e3)
| ~ spl0_61
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f456,f604]) ).
fof(f1116,plain,
( ~ spl0_28
| ~ spl0_61
| spl0_87 ),
inference(split_clause,[status(thm)],[f1115,f348,f455,f602]) ).
fof(f1117,plain,
( e1 = op(e3,e0)
| ~ spl0_67
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f524,f517]) ).
fof(f1118,plain,
( e1 = e0
| ~ spl0_48
| ~ spl0_67
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f414,f1117]) ).
fof(f1119,plain,
( $false
| ~ spl0_48
| ~ spl0_67
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f1118,f126]) ).
fof(f1120,plain,
( ~ spl0_48
| ~ spl0_67
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f1119]) ).
fof(f1122,plain,
( e0 = e3
| ~ spl0_12
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f297,f306]) ).
fof(f1123,plain,
( $false
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1122,f128]) ).
fof(f1124,plain,
( ~ spl0_12
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1123]) ).
fof(f1128,plain,
( e0 = e2
| ~ spl0_52
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f427,f433]) ).
fof(f1129,plain,
( $false
| ~ spl0_52
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f1128,f127]) ).
fof(f1130,plain,
( ~ spl0_52
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f1129]) ).
fof(f1132,plain,
( e1 = e2
| ~ spl0_25
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f339,f342]) ).
fof(f1133,plain,
( $false
| ~ spl0_25
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f1132,f129]) ).
fof(f1134,plain,
( ~ spl0_25
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f1133]) ).
fof(f1143,plain,
( e2 != op(e2,e0)
| ~ spl0_34
| ~ spl0_2
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f368,f857]) ).
fof(f1144,plain,
( e2 != e2
| ~ spl0_34
| ~ spl0_2
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f368,f1143]) ).
fof(f1145,plain,
( $false
| ~ spl0_34
| ~ spl0_2
| spl0_68 ),
inference(trivial_equality_resolution,[status(esa)],[f1144]) ).
fof(f1146,plain,
( ~ spl0_34
| ~ spl0_2
| spl0_68 ),
inference(contradiction_clause,[status(thm)],[f1145]) ).
fof(f1154,plain,
( e0 != op(e3,e2)
| ~ spl0_79
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f572,f566]) ).
fof(f1155,plain,
( ~ spl0_56
| ~ spl0_79
| spl0_77 ),
inference(split_clause,[status(thm)],[f1154,f439,f571,f564]) ).
fof(f1164,plain,
( e1 != op(op(e1,e3),e3)
| ~ spl0_61
| spl0_86 ),
inference(backward_demodulation,[status(thm)],[f456,f601]) ).
fof(f1165,plain,
( e1 != op(e1,e3)
| ~ spl0_29
| ~ spl0_61
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f352,f1164]) ).
fof(f1166,plain,
( e1 != e1
| ~ spl0_29
| ~ spl0_61
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f352,f1165]) ).
fof(f1167,plain,
( $false
| ~ spl0_29
| ~ spl0_61
| spl0_86 ),
inference(trivial_equality_resolution,[status(esa)],[f1166]) ).
fof(f1168,plain,
( ~ spl0_29
| ~ spl0_61
| spl0_86 ),
inference(contradiction_clause,[status(thm)],[f1167]) ).
fof(f1169,plain,
( e2 = e3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f303,f306]) ).
fof(f1170,plain,
( $false
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1169,f131]) ).
fof(f1171,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1170]) ).
fof(f1175,plain,
( e2 != op(e3,e1)
| ~ spl0_23
| spl0_72 ),
inference(backward_demodulation,[status(thm)],[f332,f545]) ).
fof(f1176,plain,
( ~ spl0_54
| ~ spl0_23
| spl0_72 ),
inference(split_clause,[status(thm)],[f1175,f432,f331,f543]) ).
fof(f1179,plain,
( ~ spl0_51
| ~ spl0_3
| spl0_67 ),
inference(split_clause,[status(thm)],[f1000,f422,f266,f523]) ).
fof(f1182,plain,
( ~ spl0_50
| ~ spl0_3
| spl0_66 ),
inference(split_clause,[status(thm)],[f1107,f419,f266,f519]) ).
fof(f1184,plain,
( e2 = e3
| ~ spl0_50
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f420,f423]) ).
fof(f1185,plain,
( $false
| ~ spl0_50
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f1184,f131]) ).
fof(f1186,plain,
( ~ spl0_50
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f1185]) ).
fof(f1199,plain,
( e1 != op(op(e3,e0),e0)
| ~ spl0_3
| spl0_65 ),
inference(backward_demodulation,[status(thm)],[f267,f518]) ).
fof(f1212,plain,
( e1 = e3
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f404,f410]) ).
fof(f1213,plain,
( $false
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1212,f130]) ).
fof(f1214,plain,
( ~ spl0_45
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1213]) ).
fof(f1223,plain,
( e1 = e3
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f313,f319]) ).
fof(f1224,plain,
( $false
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f1223,f130]) ).
fof(f1225,plain,
( ~ spl0_17
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f1224]) ).
fof(f1229,plain,
( e3 != op(e0,e1)
| ~ spl0_75
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f555,f561]) ).
fof(f1238,plain,
( e2 != op(e3,e0)
| ~ spl0_67
| spl0_68 ),
inference(backward_demodulation,[status(thm)],[f524,f529]) ).
fof(f1239,plain,
( e2 = e3
| ~ spl0_22
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f329,f332]) ).
fof(f1240,plain,
( $false
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1239,f131]) ).
fof(f1241,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1240]) ).
fof(f1245,plain,
( e0 = e2
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f401,f407]) ).
fof(f1246,plain,
( $false
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1245,f127]) ).
fof(f1247,plain,
( ~ spl0_44
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f1246]) ).
fof(f1254,plain,
( e0 != op(op(e3,e1),e1)
| ~ spl0_23
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f332,f542]) ).
fof(f1255,plain,
( e0 != op(e2,e1)
| ~ spl0_54
| ~ spl0_23
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f433,f1254]) ).
fof(f1256,plain,
( e0 != e0
| ~ spl0_36
| ~ spl0_54
| ~ spl0_23
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f375,f1255]) ).
fof(f1257,plain,
( $false
| ~ spl0_36
| ~ spl0_54
| ~ spl0_23
| spl0_71 ),
inference(trivial_equality_resolution,[status(esa)],[f1256]) ).
fof(f1258,plain,
( ~ spl0_36
| ~ spl0_54
| ~ spl0_23
| spl0_71 ),
inference(contradiction_clause,[status(thm)],[f1257]) ).
fof(f1261,plain,
( e0 != op(e3,e1)
| ~ spl0_23
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f332,f556]) ).
fof(f1286,plain,
( e0 != op(op(e3,e2),e2)
| ~ spl0_43
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f397,f566]) ).
fof(f1294,plain,
( e2 = e3
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f264,f267]) ).
fof(f1295,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1294,f131]) ).
fof(f1296,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f1295]) ).
fof(f1306,plain,
( e2 != op(e1,e0)
| ~ spl0_1
| spl0_66 ),
inference(backward_demodulation,[status(thm)],[f261,f521]) ).
fof(f1318,plain,
( e3 != op(e1,e0)
| ~ spl0_69
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f531,f537]) ).
fof(f1321,plain,
( e2 != op(e1,e0)
| ~ spl0_69
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f531,f529]) ).
fof(f1327,plain,
( e0 = e1
| ~ spl0_44
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f401,f404]) ).
fof(f1328,plain,
( $false
| ~ spl0_44
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f1327,f126]) ).
fof(f1329,plain,
( ~ spl0_44
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f1328]) ).
fof(f1338,plain,
( ~ spl0_18
| ~ spl0_1
| spl0_66 ),
inference(split_clause,[status(thm)],[f1306,f315,f260,f519]) ).
fof(f1340,plain,
( e2 = op(e1,e3)
| ~ spl0_61
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f456,f596]) ).
fof(f1341,plain,
( $false
| spl0_30
| ~ spl0_61
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f1340,f356]) ).
fof(f1342,plain,
( spl0_30
| ~ spl0_61
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f1341]) ).
fof(f1359,plain,
( e0 != op(e0,e1)
| ~ spl0_4
| ~ spl0_20
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f271,f884]) ).
fof(f1360,plain,
( e0 != e0
| ~ spl0_4
| ~ spl0_20
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f271,f1359]) ).
fof(f1361,plain,
( $false
| ~ spl0_4
| ~ spl0_20
| spl0_71 ),
inference(trivial_equality_resolution,[status(esa)],[f1360]) ).
fof(f1362,plain,
( ~ spl0_4
| ~ spl0_20
| spl0_71 ),
inference(contradiction_clause,[status(thm)],[f1361]) ).
fof(f1367,plain,
( e0 = e2
| ~ spl0_56
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f440,f446]) ).
fof(f1368,plain,
( $false
| ~ spl0_56
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f1367,f127]) ).
fof(f1369,plain,
( ~ spl0_56
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f1368]) ).
fof(f1373,plain,
( e3 != op(op(e1,e0),e0)
| ~ spl0_1
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f261,f537]) ).
fof(f1378,plain,
( e0 = op(e3,e2)
| ~ spl0_11
| ~ spl0_40
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f293,f1072]) ).
fof(f1381,plain,
( ~ spl0_39
| ~ spl0_22
| spl0_73 ),
inference(split_clause,[status(thm)],[f1109,f383,f328,f547]) ).
fof(f1390,plain,
( e0 = e2
| ~ spl0_11
| ~ spl0_40
| ~ spl0_77
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f1378,f446]) ).
fof(f1391,plain,
( $false
| ~ spl0_11
| ~ spl0_40
| ~ spl0_77
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f1390,f127]) ).
fof(f1392,plain,
( ~ spl0_11
| ~ spl0_40
| ~ spl0_77
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f1391]) ).
fof(f1396,plain,
( e1 != op(op(e0,e3),e3)
| ~ spl0_60
| spl0_86 ),
inference(backward_demodulation,[status(thm)],[f453,f601]) ).
fof(f1397,plain,
( e1 != op(e2,e3)
| ~ spl0_14
| ~ spl0_60
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f303,f1396]) ).
fof(f1421,plain,
( $false
| ~ spl0_14
| ~ spl0_60
| spl0_86
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f404,f1397]) ).
fof(f1422,plain,
( ~ spl0_14
| ~ spl0_60
| spl0_86
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f1421]) ).
fof(f1437,plain,
( e2 != op(e2,e3)
| ~ spl0_85
| spl0_88 ),
inference(backward_demodulation,[status(thm)],[f596,f609]) ).
fof(f1438,plain,
( ~ spl0_46
| ~ spl0_85
| spl0_88 ),
inference(split_clause,[status(thm)],[f1437,f406,f595,f607]) ).
fof(f1443,plain,
( e1 = e2
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f300,f303]) ).
fof(f1444,plain,
( $false
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f1443,f129]) ).
fof(f1445,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f1444]) ).
fof(f1451,plain,
( e3 != op(e2,e2)
| ~ spl0_58
| ~ spl0_43
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f446,f764]) ).
fof(f1452,plain,
( e3 != e3
| ~ spl0_58
| ~ spl0_43
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f397,f1451]) ).
fof(f1453,plain,
( $false
| ~ spl0_58
| ~ spl0_43
| spl0_82 ),
inference(trivial_equality_resolution,[status(esa)],[f1452]) ).
fof(f1454,plain,
( ~ spl0_58
| ~ spl0_43
| spl0_82 ),
inference(contradiction_clause,[status(thm)],[f1453]) ).
fof(f1457,plain,
( e2 != op(e0,e1)
| ~ spl0_20
| spl0_72 ),
inference(backward_demodulation,[status(thm)],[f323,f545]) ).
fof(f1458,plain,
( ~ spl0_6
| ~ spl0_20
| spl0_72 ),
inference(split_clause,[status(thm)],[f1457,f276,f322,f543]) ).
fof(f1460,plain,
( ~ spl0_54
| ~ spl0_7
| ~ spl0_20
| spl0_74 ),
inference(split_clause,[status(thm)],[f886,f432,f279,f322,f551]) ).
fof(f1477,plain,
( e0 = e1
| ~ spl0_60
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f453,f456]) ).
fof(f1478,plain,
( $false
| ~ spl0_60
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f1477,f126]) ).
fof(f1479,plain,
( ~ spl0_60
| ~ spl0_61 ),
inference(contradiction_clause,[status(thm)],[f1478]) ).
fof(f1480,plain,
( e2 = e3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f277,f280]) ).
fof(f1481,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1480,f131]) ).
fof(f1482,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1481]) ).
fof(f1490,plain,
( e3 != op(e0,e1)
| ~ spl0_20
| spl0_73 ),
inference(backward_demodulation,[status(thm)],[f323,f549]) ).
fof(f1491,plain,
( ~ spl0_7
| ~ spl0_20
| spl0_73 ),
inference(split_clause,[status(thm)],[f1490,f279,f322,f547]) ).
fof(f1493,plain,
( e0 = e3
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f323,f332]) ).
fof(f1494,plain,
( $false
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1493,f128]) ).
fof(f1495,plain,
( ~ spl0_20
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1494]) ).
fof(f1504,plain,
( e3 = op(e0,e2)
| ~ spl0_40
| ~ spl0_79 ),
inference(backward_demodulation,[status(thm)],[f388,f572]) ).
fof(f1505,plain,
( e3 = e0
| ~ spl0_8
| ~ spl0_40
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f284,f1504]) ).
fof(f1506,plain,
( $false
| ~ spl0_8
| ~ spl0_40
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f1505,f128]) ).
fof(f1507,plain,
( ~ spl0_8
| ~ spl0_40
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f1506]) ).
fof(f1525,plain,
( ~ spl0_59
| ~ spl0_43
| spl0_79 ),
inference(split_clause,[status(thm)],[f762,f448,f396,f571]) ).
fof(f1528,plain,
( e0 = e3
| ~ spl0_40
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f388,f397]) ).
fof(f1529,plain,
( $false
| ~ spl0_40
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1528,f128]) ).
fof(f1530,plain,
( ~ spl0_40
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1529]) ).
fof(f1533,plain,
( ~ spl0_19
| ~ spl0_69
| spl0_70 ),
inference(split_clause,[status(thm)],[f1318,f318,f530,f535]) ).
fof(f1534,plain,
( e1 = op(e1,e0)
| ~ spl0_1
| ~ spl0_69 ),
inference(backward_demodulation,[status(thm)],[f261,f531]) ).
fof(f1535,plain,
( spl0_17
| ~ spl0_1
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f1534,f312,f260,f530]) ).
fof(f1538,plain,
( e0 = e3
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f284,f293]) ).
fof(f1539,plain,
( $false
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f1538,f128]) ).
fof(f1540,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1539]) ).
fof(f1542,plain,
( e1 = e3
| ~ spl0_53
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f430,f436]) ).
fof(f1543,plain,
( $false
| ~ spl0_53
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f1542,f130]) ).
fof(f1544,plain,
( ~ spl0_53
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f1543]) ).
fof(f1562,plain,
( e0 = e2
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f284,f290]) ).
fof(f1563,plain,
( $false
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1562,f127]) ).
fof(f1564,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1563]) ).
fof(f1575,plain,
( e2 = op(op(e2,e0),e0)
| ~ spl0_2
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f264,f528]) ).
fof(f1607,plain,
( e1 != op(op(e2,e0),e0)
| ~ spl0_2
| spl0_65 ),
inference(backward_demodulation,[status(thm)],[f264,f518]) ).
fof(f1612,plain,
( e0 = op(e1,e3)
| ~ spl0_61
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f456,f603]) ).
fof(f1613,plain,
( e3 = op(e3,e2)
| ~ spl0_43
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f397,f572]) ).
fof(f1614,plain,
( e3 = e2
| ~ spl0_58
| ~ spl0_43
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f446,f1613]) ).
fof(f1615,plain,
( $false
| ~ spl0_58
| ~ spl0_43
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f1614,f131]) ).
fof(f1616,plain,
( ~ spl0_58
| ~ spl0_43
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f1615]) ).
fof(f1622,plain,
( e0 != op(e2,e3)
| ~ spl0_30
| ~ spl0_61
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f355,f882]) ).
fof(f1623,plain,
( ~ spl0_44
| ~ spl0_30
| ~ spl0_61
| spl0_83 ),
inference(split_clause,[status(thm)],[f1622,f400,f354,f455,f588]) ).
fof(f1626,plain,
( e1 != op(e1,e0)
| ~ spl0_69
| spl0_65 ),
inference(backward_demodulation,[status(thm)],[f531,f518]) ).
fof(f1627,plain,
( ~ spl0_17
| ~ spl0_69
| spl0_65 ),
inference(split_clause,[status(thm)],[f1626,f312,f530,f516]) ).
fof(f1631,plain,
( ~ spl0_52
| ~ spl0_23
| spl0_75 ),
inference(split_clause,[status(thm)],[f1261,f426,f331,f554]) ).
fof(f1632,plain,
( e0 = e2
| ~ spl0_61
| ~ spl0_87
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f1612,f355]) ).
fof(f1633,plain,
( $false
| ~ spl0_61
| ~ spl0_87
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f1632,f127]) ).
fof(f1634,plain,
( ~ spl0_61
| ~ spl0_87
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f1633]) ).
fof(f1640,plain,
( e0 = e1
| ~ spl0_16
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f310,f313]) ).
fof(f1641,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1640,f126]) ).
fof(f1642,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1641]) ).
fof(f1650,plain,
( e2 != op(e1,e3)
| ~ spl0_61
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f456,f597]) ).
fof(f1656,plain,
( e0 = e1
| ~ spl0_32
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f362,f365]) ).
fof(f1657,plain,
( $false
| ~ spl0_32
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f1656,f126]) ).
fof(f1658,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f1657]) ).
fof(f1660,plain,
( $false
| ~ spl0_61
| spl0_85
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f355,f1650]) ).
fof(f1661,plain,
( ~ spl0_61
| spl0_85
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f1660]) ).
fof(f1679,plain,
( e1 = e3
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f261,f267]) ).
fof(f1680,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1679,f130]) ).
fof(f1681,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f1680]) ).
fof(f1682,plain,
( e1 != op(op(e1,e0),e0)
| ~ spl0_1
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f261,f518]) ).
fof(f1683,plain,
( e1 != op(e0,e0)
| ~ spl0_16
| ~ spl0_1
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f310,f1682]) ).
fof(f1684,plain,
( e1 != e1
| ~ spl0_16
| ~ spl0_1
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f261,f1683]) ).
fof(f1685,plain,
( $false
| ~ spl0_16
| ~ spl0_1
| spl0_65 ),
inference(trivial_equality_resolution,[status(esa)],[f1684]) ).
fof(f1686,plain,
( ~ spl0_16
| ~ spl0_1
| spl0_65 ),
inference(contradiction_clause,[status(thm)],[f1685]) ).
fof(f1694,plain,
( e3 = op(op(e2,e0),e0)
| ~ spl0_2
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f264,f536]) ).
fof(f1695,plain,
( e3 = e2
| ~ spl0_68
| ~ spl0_2
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f1575,f1694]) ).
fof(f1696,plain,
( $false
| ~ spl0_68
| ~ spl0_2
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f1695,f131]) ).
fof(f1697,plain,
( ~ spl0_68
| ~ spl0_2
| ~ spl0_70 ),
inference(contradiction_clause,[status(thm)],[f1696]) ).
fof(f1702,plain,
( e0 = op(e2,e1)
| ~ spl0_22
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f329,f555]) ).
fof(f1714,plain,
( e0 = e1
| ~ spl0_48
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f414,f417]) ).
fof(f1715,plain,
( $false
| ~ spl0_48
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1714,f126]) ).
fof(f1716,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1715]) ).
fof(f1745,plain,
( e0 = e3
| ~ spl0_22
| ~ spl0_75
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f1702,f384]) ).
fof(f1746,plain,
( $false
| ~ spl0_22
| ~ spl0_75
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f1745,f128]) ).
fof(f1747,plain,
( ~ spl0_22
| ~ spl0_75
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f1746]) ).
fof(f1756,plain,
( e1 = e3
| ~ spl0_41
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f391,f397]) ).
fof(f1757,plain,
( $false
| ~ spl0_41
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1756,f130]) ).
fof(f1758,plain,
( ~ spl0_41
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1757]) ).
fof(f1768,plain,
( e0 != op(e1,e2)
| ~ spl0_57
| ~ spl0_43
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f443,f1286]) ).
fof(f1769,plain,
( ~ spl0_24
| ~ spl0_57
| ~ spl0_43
| spl0_77 ),
inference(split_clause,[status(thm)],[f1768,f335,f442,f396,f564]) ).
fof(f1789,plain,
( e3 != op(e2,e0)
| ~ spl0_18
| ~ spl0_1
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f316,f1373]) ).
fof(f1798,plain,
( e0 = op(e0,e1)
| ~ spl0_20
| ~ spl0_75 ),
inference(backward_demodulation,[status(thm)],[f323,f555]) ).
fof(f1799,plain,
( spl0_4
| ~ spl0_20
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f1798,f270,f322,f554]) ).
fof(f1801,plain,
( e0 = e2
| ~ spl0_20
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f323,f329]) ).
fof(f1802,plain,
( $false
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1801,f127]) ).
fof(f1803,plain,
( ~ spl0_20
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f1802]) ).
fof(f1809,plain,
( e1 = e2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f274,f277]) ).
fof(f1810,plain,
( $false
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f1809,f129]) ).
fof(f1811,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f1810]) ).
fof(f1815,plain,
( e0 != op(e2,e3)
| ~ spl0_62
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f459,f604]) ).
fof(f1816,plain,
( ~ spl0_44
| ~ spl0_62
| spl0_87 ),
inference(split_clause,[status(thm)],[f1815,f400,f458,f602]) ).
fof(f1818,plain,
( ~ spl0_35
| ~ spl0_18
| ~ spl0_1
| spl0_70 ),
inference(split_clause,[status(thm)],[f1789,f370,f315,f260,f535]) ).
fof(f1826,plain,
( e3 != op(e0,e2)
| ~ spl0_81
| spl0_82 ),
inference(backward_demodulation,[status(thm)],[f579,f585]) ).
fof(f1835,plain,
( e1 != op(e2,e3)
| ~ spl0_62
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f459,f593]) ).
fof(f1862,plain,
( e2 = e3
| ~ spl0_34
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f368,f371]) ).
fof(f1863,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1862,f131]) ).
fof(f1864,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f1863]) ).
fof(f1871,plain,
( e2 = op(op(e1,e0),e0)
| ~ spl0_1
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f261,f528]) ).
fof(f1880,plain,
( e3 = e0
| ~ spl0_24
| ~ spl0_41
| ~ spl0_79 ),
inference(backward_demodulation,[status(thm)],[f336,f897]) ).
fof(f1881,plain,
( $false
| ~ spl0_24
| ~ spl0_41
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f1880,f128]) ).
fof(f1882,plain,
( ~ spl0_24
| ~ spl0_41
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f1881]) ).
fof(f1883,plain,
( e0 != op(op(e2,e1),e1)
| ~ spl0_22
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f329,f542]) ).
fof(f1889,plain,
( e0 = e3
| ~ spl0_56
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f440,f449]) ).
fof(f1890,plain,
( $false
| ~ spl0_56
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f1889,f128]) ).
fof(f1891,plain,
( ~ spl0_56
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f1890]) ).
fof(f1895,plain,
( ~ spl0_45
| ~ spl0_62
| spl0_84 ),
inference(split_clause,[status(thm)],[f1835,f403,f458,f591]) ).
fof(f1925,plain,
( e0 = e2
| ~ spl0_60
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f453,f459]) ).
fof(f1926,plain,
( $false
| ~ spl0_60
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f1925,f127]) ).
fof(f1927,plain,
( ~ spl0_60
| ~ spl0_62 ),
inference(contradiction_clause,[status(thm)],[f1926]) ).
fof(f1928,plain,
( ~ spl0_11
| ~ spl0_81
| spl0_82 ),
inference(split_clause,[status(thm)],[f1826,f292,f578,f583]) ).
fof(f1929,plain,
( e2 != op(e0,e3)
| ~ spl0_87
| spl0_88 ),
inference(backward_demodulation,[status(thm)],[f603,f609]) ).
fof(f1930,plain,
( ~ spl0_14
| ~ spl0_87
| spl0_88 ),
inference(split_clause,[status(thm)],[f1929,f302,f602,f607]) ).
fof(f1933,plain,
( e2 = op(e2,e0)
| ~ spl0_18
| ~ spl0_1
| ~ spl0_68 ),
inference(backward_demodulation,[status(thm)],[f316,f1871]) ).
fof(f1934,plain,
( spl0_34
| ~ spl0_18
| ~ spl0_1
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f1933,f367,f315,f260,f527]) ).
fof(f1937,plain,
( e0 != op(e3,e3)
| ~ spl0_60
| ~ spl0_87 ),
inference(backward_demodulation,[status(thm)],[f832,f98]) ).
fof(f1938,plain,
( ~ spl0_60
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f1937,f452,f602]) ).
fof(f1979,plain,
( e0 != op(op(e2,e3),e3)
| ~ spl0_62
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f459,f590]) ).
fof(f1983,plain,
( e0 != op(e3,e1)
| ~ spl0_39
| ~ spl0_22
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f384,f1883]) ).
fof(f1984,plain,
( ~ spl0_52
| ~ spl0_39
| ~ spl0_22
| spl0_71 ),
inference(split_clause,[status(thm)],[f1983,f426,f383,f328,f540]) ).
fof(f2001,plain,
( e0 = e2
| ~ spl0_24
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f336,f342]) ).
fof(f2002,plain,
( $false
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f2001,f127]) ).
fof(f2003,plain,
( ~ spl0_24
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f2002]) ).
fof(f2039,plain,
( e0 != op(e1,e3)
| ~ spl0_45
| ~ spl0_62
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f404,f1979]) ).
fof(f2040,plain,
( ~ spl0_28
| ~ spl0_45
| ~ spl0_62
| spl0_83 ),
inference(split_clause,[status(thm)],[f2039,f348,f403,f458,f588]) ).
fof(f2041,plain,
( e0 != op(e1,e3)
| ~ spl0_84
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f592,f590]) ).
fof(f2042,plain,
( ~ spl0_28
| ~ spl0_84
| spl0_83 ),
inference(split_clause,[status(thm)],[f2041,f348,f591,f588]) ).
fof(f2046,plain,
( e3 != op(op(e0,e2),e2)
| ~ spl0_40
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f388,f585]) ).
fof(f2083,plain,
( ~ spl0_50
| ~ spl0_67
| spl0_68 ),
inference(split_clause,[status(thm)],[f1238,f419,f523,f527]) ).
fof(f2096,plain,
( e0 != op(e3,e2)
| ~ spl0_43
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f397,f580]) ).
fof(f2097,plain,
( ~ spl0_56
| ~ spl0_43
| spl0_81 ),
inference(split_clause,[status(thm)],[f2096,f439,f396,f578]) ).
fof(f2111,plain,
( e1 != op(e2,e0)
| ~ spl0_50
| ~ spl0_3
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f420,f1199]) ).
fof(f2124,plain,
( e1 != op(op(e3,e2),e2)
| ~ spl0_43
| spl0_80 ),
inference(forward_demodulation,[status(thm)],[f397,f577]) ).
fof(f2127,plain,
( $false
| ~ spl0_50
| ~ spl0_3
| spl0_65
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f2111]) ).
fof(f2128,plain,
( ~ spl0_50
| ~ spl0_3
| spl0_65
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f2127]) ).
fof(f2142,plain,
( ~ spl0_7
| ~ spl0_75
| spl0_76 ),
inference(split_clause,[status(thm)],[f1229,f279,f554,f559]) ).
fof(f2171,plain,
( e1 != op(e3,e0)
| ~ spl0_3
| spl0_69 ),
inference(forward_demodulation,[status(thm)],[f267,f532]) ).
fof(f2172,plain,
( ~ spl0_49
| ~ spl0_3
| spl0_69 ),
inference(split_clause,[status(thm)],[f2171,f416,f266,f530]) ).
fof(f2211,plain,
( ~ spl0_18
| ~ spl0_69
| spl0_68 ),
inference(split_clause,[status(thm)],[f1321,f315,f530,f527]) ).
fof(f2212,plain,
( e2 != op(op(e3,e0),e0)
| ~ spl0_3
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f267,f529]) ).
fof(f2213,plain,
( e2 != op(e1,e0)
| ~ spl0_49
| ~ spl0_3
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f417,f2212]) ).
fof(f2214,plain,
( e2 != e2
| ~ spl0_18
| ~ spl0_49
| ~ spl0_3
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f316,f2213]) ).
fof(f2215,plain,
( $false
| ~ spl0_18
| ~ spl0_49
| ~ spl0_3
| spl0_68 ),
inference(trivial_equality_resolution,[status(esa)],[f2214]) ).
fof(f2216,plain,
( ~ spl0_18
| ~ spl0_49
| ~ spl0_3
| spl0_68 ),
inference(contradiction_clause,[status(thm)],[f2215]) ).
fof(f2219,plain,
( e0 = e2
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f297,f303]) ).
fof(f2220,plain,
( $false
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f2219,f127]) ).
fof(f2221,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f2220]) ).
fof(f2254,plain,
( e1 = e2
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f261,f264]) ).
fof(f2255,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f2254,f129]) ).
fof(f2256,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f2255]) ).
fof(f2274,plain,
( ~ spl0_9
| ~ spl0_81
| spl0_80 ),
inference(split_clause,[status(thm)],[f958,f286,f578,f575]) ).
fof(f2275,plain,
( e1 != op(e0,e2)
| ~ spl0_56
| ~ spl0_43
| spl0_80 ),
inference(forward_demodulation,[status(thm)],[f440,f2124]) ).
fof(f2276,plain,
( ~ spl0_9
| ~ spl0_56
| ~ spl0_43
| spl0_80 ),
inference(split_clause,[status(thm)],[f2275,f286,f439,f396,f575]) ).
fof(f2293,plain,
( e3 = op(e0,e2)
| ~ spl0_40
| ~ spl0_79 ),
inference(backward_demodulation,[status(thm)],[f388,f572]) ).
fof(f2305,plain,
( e3 != op(e1,e2)
| ~ spl0_9
| ~ spl0_40
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f287,f2046]) ).
fof(f2321,plain,
( e3 = e1
| ~ spl0_9
| ~ spl0_40
| ~ spl0_79 ),
inference(backward_demodulation,[status(thm)],[f287,f2293]) ).
fof(f2322,plain,
( $false
| ~ spl0_9
| ~ spl0_40
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f2321,f130]) ).
fof(f2323,plain,
( ~ spl0_9
| ~ spl0_40
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f2322]) ).
fof(f2337,plain,
( e3 = op(e2,e0)
| ~ spl0_2
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f264,f524]) ).
fof(f2338,plain,
( e3 = e1
| ~ spl0_33
| ~ spl0_2
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f365,f2337]) ).
fof(f2339,plain,
( $false
| ~ spl0_33
| ~ spl0_2
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f2338,f130]) ).
fof(f2340,plain,
( ~ spl0_33
| ~ spl0_2
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f2339]) ).
fof(f2362,plain,
( e1 != op(e3,e0)
| ~ spl0_35
| ~ spl0_2
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f371,f1607]) ).
fof(f2372,plain,
( e1 != op(e0,e3)
| ~ spl0_87
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f603,f601]) ).
fof(f2373,plain,
( ~ spl0_13
| ~ spl0_87
| spl0_86 ),
inference(split_clause,[status(thm)],[f2372,f299,f602,f599]) ).
fof(f2424,plain,
( ~ spl0_49
| ~ spl0_35
| ~ spl0_2
| spl0_65 ),
inference(split_clause,[status(thm)],[f2362,f416,f370,f263,f516]) ).
fof(f2467,plain,
( e0 = e1
| ~ spl0_22
| ~ spl0_75
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f1702,f378]) ).
fof(f2468,plain,
( $false
| ~ spl0_22
| ~ spl0_75
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f2467,f126]) ).
fof(f2469,plain,
( ~ spl0_22
| ~ spl0_75
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f2468]) ).
fof(f2477,plain,
( e0 = e1
| ~ spl0_36
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f375,f378]) ).
fof(f2478,plain,
( $false
| ~ spl0_36
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f2477,f126]) ).
fof(f2479,plain,
( ~ spl0_36
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f2478]) ).
fof(f2499,plain,
( e3 != op(e2,e1)
| ~ spl0_6
| ~ spl0_20
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f277,f887]) ).
fof(f2500,plain,
( ~ spl0_39
| ~ spl0_6
| ~ spl0_20
| spl0_76 ),
inference(split_clause,[status(thm)],[f2499,f383,f276,f322,f559]) ).
fof(f2515,plain,
( ~ spl0_27
| ~ spl0_9
| ~ spl0_40
| spl0_82 ),
inference(split_clause,[status(thm)],[f2305,f344,f286,f387,f583]) ).
fof(f2539,plain,
$false,
inference(sat_refutation,[status(thm)],[f269,f282,f308,f334,f399,f464,f465,f466,f467,f468,f469,f470,f471,f472,f473,f474,f475,f476,f477,f478,f479,f480,f481,f482,f483,f484,f485,f486,f487,f488,f489,f490,f491,f492,f493,f494,f495,f496,f500,f501,f502,f504,f505,f506,f508,f509,f510,f512,f513,f514,f522,f526,f533,f534,f538,f539,f546,f550,f557,f558,f562,f563,f570,f574,f581,f582,f586,f587,f594,f598,f605,f606,f610,f611,f615,f616,f618,f619,f620,f622,f623,f624,f626,f627,f628,f630,f634,f636,f637,f638,f640,f641,f642,f644,f645,f646,f648,f649,f651,f652,f653,f655,f656,f657,f659,f660,f661,f663,f664,f665,f667,f669,f671,f673,f676,f679,f682,f685,f688,f691,f694,f697,f700,f703,f706,f709,f712,f715,f719,f722,f725,f729,f733,f740,f752,f757,f770,f777,f780,f791,f794,f800,f804,f808,f817,f822,f825,f841,f844,f848,f853,f860,f866,f869,f873,f877,f903,f910,f920,f936,f950,f955,f965,f974,f982,f1007,f1015,f1018,f1025,f1029,f1033,f1043,f1045,f1053,f1060,f1074,f1077,f1081,f1091,f1095,f1099,f1116,f1120,f1124,f1130,f1134,f1146,f1155,f1168,f1171,f1176,f1179,f1182,f1186,f1214,f1225,f1241,f1247,f1258,f1296,f1329,f1338,f1342,f1362,f1369,f1381,f1392,f1422,f1438,f1445,f1454,f1458,f1460,f1479,f1482,f1491,f1495,f1507,f1525,f1530,f1533,f1535,f1540,f1544,f1564,f1616,f1623,f1627,f1631,f1634,f1642,f1658,f1661,f1681,f1686,f1697,f1716,f1747,f1758,f1769,f1799,f1803,f1811,f1816,f1818,f1864,f1882,f1891,f1895,f1927,f1928,f1930,f1934,f1938,f1984,f2003,f2040,f2042,f2083,f2097,f2128,f2142,f2172,f2211,f2216,f2221,f2256,f2274,f2276,f2323,f2340,f2373,f2424,f2469,f2479,f2500,f2515]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG149+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:54:17 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.52 % Refutation found
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.54 % Elapsed time: 0.187757 seconds
% 0.20/0.54 % CPU time: 1.384331 seconds
% 0.20/0.54 % Total memory used: 30.338 MB
% 0.20/0.54 % Net memory used: 29.223 MB
%------------------------------------------------------------------------------