TSTP Solution File: ALG142+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG142+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:10:16 EDT 2024
% Result : Unsatisfiable 0.20s 0.44s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 141
% Syntax : Number of formulae : 874 ( 8 unt; 0 def)
% Number of atoms : 2718 (1147 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 3221 (1377 ~;1504 |; 228 &)
% ( 100 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 114 ( 112 usr; 113 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(e0,e0) != e0 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e3,e3) = e0
& op(e3,e0) != e3 ) )
& ( ( op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e3,e3) = e1
& op(e3,e1) != e3 ) )
& ( ( op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e3,e3) = e2
& op(e3,e2) != e3 ) )
& ( ( op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(op(e3,e3),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e1 = op(op(e2,e2),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e2 = op(op(e3,e3),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e2 = op(op(e1,e1),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e3 = op(op(e2,e2),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e3 = op(op(e1,e1),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e0 = op(op(e3,e3),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e0 = op(op(e2,e2),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e2 = op(op(e3,e3),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e2 = op(op(e0,e0),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e3 = op(op(e2,e2),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e3 = op(op(e0,e0),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e0 = op(op(e3,e3),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e0 = op(op(e1,e1),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e1 = op(op(e3,e3),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e1 = op(op(e0,e0),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e3 = op(op(e1,e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e3 = op(op(e0,e0),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e0 = op(op(e2,e2),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(op(e1,e1),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,e2),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e1 = op(op(e0,e0),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e2 = op(op(e1,e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e2 = op(op(e0,e0),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(f34,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,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(f42,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = 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(f93,plain,
op(e1,e2) != op(e2,e2),
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(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2 ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f133,plain,
( pd0_1
=> ( ( op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2 ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f134,plain,
( pd0_2
=> ( ( op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f135,plain,
( pd0_3
=> ( ( op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2 ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f136,plain,
( ( pd0_0
| ( op(e3,e3) = e0
& op(e3,e0) != e3 ) )
& ( pd0_1
| ( op(e3,e3) = e1
& op(e3,e1) != e3 ) )
& ( pd0_2
| ( op(e3,e3) = e2
& op(e3,e2) != e3 ) )
& ( pd0_3
| ( op(e3,e3) = e3
& op(e3,e3) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f5,f135,f134,f133,f132]) ).
fof(f137,plain,
( pd0_0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f138,plain,
( pd0_0
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f139,plain,
( pd0_1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f140,plain,
( pd0_1
| op(e3,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f141,plain,
( pd0_2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f142,plain,
( pd0_2
| op(e3,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f143,plain,
( pd0_3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f144,plain,
( pd0_3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f145,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f146,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f147,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f148,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f147]) ).
fof(f149,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f150,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f151,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f152,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f151]) ).
fof(f153,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f154,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f153]) ).
fof(f155,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f156,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f155]) ).
fof(f157,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f158,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f157]) ).
fof(f159,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f160,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f159]) ).
fof(f161,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f162,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f161]) ).
fof(f163,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f164,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f163]) ).
fof(f165,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f166,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f165]) ).
fof(f167,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(op(e0,e0),e0)
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f168,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(op(e0,e0),e0)
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f167]) ).
fof(f169,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f170,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f169]) ).
fof(f171,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f172,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f171]) ).
fof(f173,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f174,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f173]) ).
fof(f175,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f176,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f175]) ).
fof(f177,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f178,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f177]) ).
fof(f179,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,e0),e0)
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f180,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,e0),e0)
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f179]) ).
fof(f181,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f182,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f181]) ).
fof(f183,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f184,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f183]) ).
fof(f185,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f186,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f185]) ).
fof(f187,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,e0),e0)
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f188,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,e0),e0)
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f187]) ).
fof(f189,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f190,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f189]) ).
fof(f191,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,e0),e0)
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f192,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,e0),e0)
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f193,plain,
( ~ pd0_0
| ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f132]) ).
fof(f194,plain,
( pd0_4
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1 ) ) ),
introduced(predicate_definition,[f193]) ).
fof(f195,plain,
( ~ pd0_0
| pd0_4
| ( op(e2,e2) = e0
& op(e2,e0) != e2 ) ),
inference(formula_renaming,[status(thm)],[f193,f194]) ).
fof(f196,plain,
( ~ pd0_0
| pd0_4
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f197,plain,
( ~ pd0_0
| pd0_4
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f198,plain,
( ~ pd0_1
| ( op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f133]) ).
fof(f199,plain,
( pd0_5
=> ( ( op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 ) ) ),
introduced(predicate_definition,[f198]) ).
fof(f200,plain,
( ~ pd0_1
| pd0_5
| ( op(e2,e2) = e1
& op(e2,e1) != e2 ) ),
inference(formula_renaming,[status(thm)],[f198,f199]) ).
fof(f201,plain,
( ~ pd0_1
| pd0_5
| op(e2,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f202,plain,
( ~ pd0_1
| pd0_5
| op(e2,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f203,plain,
( ~ pd0_2
| ( op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f134]) ).
fof(f204,plain,
( pd0_6
=> ( ( op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1 ) ) ),
introduced(predicate_definition,[f203]) ).
fof(f205,plain,
( ~ pd0_2
| pd0_6
| ( op(e2,e2) = e2
& op(e2,e2) != e2 ) ),
inference(formula_renaming,[status(thm)],[f203,f204]) ).
fof(f206,plain,
( ~ pd0_2
| pd0_6
| op(e2,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f205]) ).
fof(f207,plain,
( ~ pd0_2
| pd0_6
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f205]) ).
fof(f208,plain,
( ~ pd0_3
| ( op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f135]) ).
fof(f209,plain,
( pd0_7
=> ( ( op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1 ) ) ),
introduced(predicate_definition,[f208]) ).
fof(f210,plain,
( ~ pd0_3
| pd0_7
| ( op(e2,e2) = e3
& op(e2,e3) != e2 ) ),
inference(formula_renaming,[status(thm)],[f208,f209]) ).
fof(f211,plain,
( ~ pd0_3
| pd0_7
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f210]) ).
fof(f212,plain,
( ~ pd0_3
| pd0_7
| op(e2,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f210]) ).
fof(f213,plain,
( ~ pd0_4
| ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f194]) ).
fof(f214,plain,
( pd0_8
=> ( op(e0,e0) = e0
& op(e0,e0) != e0 ) ),
introduced(predicate_definition,[f213]) ).
fof(f215,plain,
( ~ pd0_4
| pd0_8
| ( op(e1,e1) = e0
& op(e1,e0) != e1 ) ),
inference(formula_renaming,[status(thm)],[f213,f214]) ).
fof(f216,plain,
( ~ pd0_4
| pd0_8
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f217,plain,
( ~ pd0_4
| pd0_8
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f218,plain,
( ~ pd0_5
| ( op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f199]) ).
fof(f219,plain,
( pd0_9
=> ( op(e0,e0) = e1
& op(e0,e1) != e0 ) ),
introduced(predicate_definition,[f218]) ).
fof(f220,plain,
( ~ pd0_5
| pd0_9
| ( op(e1,e1) = e1
& op(e1,e1) != e1 ) ),
inference(formula_renaming,[status(thm)],[f218,f219]) ).
fof(f221,plain,
( ~ pd0_5
| pd0_9
| op(e1,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f220]) ).
fof(f222,plain,
( ~ pd0_5
| pd0_9
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f220]) ).
fof(f223,plain,
( ~ pd0_6
| ( op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f204]) ).
fof(f224,plain,
( pd0_10
=> ( op(e0,e0) = e2
& op(e0,e2) != e0 ) ),
introduced(predicate_definition,[f223]) ).
fof(f225,plain,
( ~ pd0_6
| pd0_10
| ( op(e1,e1) = e2
& op(e1,e2) != e1 ) ),
inference(formula_renaming,[status(thm)],[f223,f224]) ).
fof(f226,plain,
( ~ pd0_6
| pd0_10
| op(e1,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f225]) ).
fof(f227,plain,
( ~ pd0_6
| pd0_10
| op(e1,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f225]) ).
fof(f228,plain,
( ~ pd0_7
| ( op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f209]) ).
fof(f229,plain,
( pd0_11
=> ( op(e0,e0) = e3
& op(e0,e3) != e0 ) ),
introduced(predicate_definition,[f228]) ).
fof(f230,plain,
( ~ pd0_7
| pd0_11
| ( op(e1,e1) = e3
& op(e1,e3) != e1 ) ),
inference(formula_renaming,[status(thm)],[f228,f229]) ).
fof(f231,plain,
( ~ pd0_7
| pd0_11
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f232,plain,
( ~ pd0_7
| pd0_11
| op(e1,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f233,plain,
( ~ pd0_8
| ( op(e0,e0) = e0
& op(e0,e0) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f214]) ).
fof(f234,plain,
( ~ pd0_8
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f235,plain,
( ~ pd0_8
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f236,plain,
( ~ pd0_9
| ( op(e0,e0) = e1
& op(e0,e1) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f219]) ).
fof(f237,plain,
( ~ pd0_9
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f236]) ).
fof(f238,plain,
( ~ pd0_9
| op(e0,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f236]) ).
fof(f239,plain,
( ~ pd0_10
| ( op(e0,e0) = e2
& op(e0,e2) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f224]) ).
fof(f240,plain,
( ~ pd0_10
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f239]) ).
fof(f241,plain,
( ~ pd0_10
| op(e0,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f239]) ).
fof(f242,plain,
( ~ pd0_11
| ( op(e0,e0) = e3
& op(e0,e3) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f229]) ).
fof(f243,plain,
( ~ pd0_11
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f244,plain,
( ~ pd0_11
| op(e0,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f245,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f246,plain,
( op(e0,e0) = e0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f249,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f252,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f255,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f258,plain,
( spl0_4
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f259,plain,
( op(e0,e1) = e0
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( spl0_5
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f262,plain,
( op(e0,e1) = e1
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,plain,
( spl0_6
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f265,plain,
( op(e0,e1) = e2
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( spl0_7
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f268,plain,
( op(e0,e1) = e3
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f31,f258,f261,f264,f267]) ).
fof(f271,plain,
( spl0_8
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f272,plain,
( op(e0,e2) = e0
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( spl0_9
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f275,plain,
( op(e0,e2) = e1
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,plain,
( spl0_10
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f278,plain,
( op(e0,e2) = e2
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,plain,
( spl0_11
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f281,plain,
( op(e0,e2) = e3
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f284,plain,
( spl0_12
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f285,plain,
( op(e0,e3) = e0
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( spl0_13
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f288,plain,
( op(e0,e3) = e1
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,plain,
( spl0_14
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f291,plain,
( op(e0,e3) = e2
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( spl0_15
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f294,plain,
( op(e0,e3) = e3
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f297,plain,
( spl0_16
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f298,plain,
( op(e1,e0) = e0
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( spl0_17
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f301,plain,
( op(e1,e0) = e1
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( spl0_18
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f304,plain,
( op(e1,e0) = e2
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,plain,
( spl0_19
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f307,plain,
( op(e1,e0) = e3
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f34,f297,f300,f303,f306]) ).
fof(f310,plain,
( spl0_20
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f311,plain,
( op(e1,e1) = e0
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( spl0_21
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f314,plain,
( op(e1,e1) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( spl0_22
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f317,plain,
( op(e1,e1) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( spl0_23
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f320,plain,
( op(e1,e1) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f323,plain,
( spl0_24
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f324,plain,
( op(e1,e2) = e0
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( spl0_25
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f327,plain,
( op(e1,e2) = e1
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( spl0_26
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f330,plain,
( op(e1,e2) = e2
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( spl0_27
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f333,plain,
( op(e1,e2) = e3
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f336,plain,
( spl0_28
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f337,plain,
( op(e1,e3) = e0
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( spl0_29
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f340,plain,
( op(e1,e3) = e1
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,plain,
( spl0_30
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f343,plain,
( op(e1,e3) = e2
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,plain,
( spl0_31
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f346,plain,
( op(e1,e3) = e3
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f37,f336,f339,f342,f345]) ).
fof(f349,plain,
( spl0_32
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f350,plain,
( op(e2,e0) = e0
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( spl0_33
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f353,plain,
( op(e2,e0) = e1
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( spl0_34
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f356,plain,
( op(e2,e0) = e2
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( spl0_35
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f359,plain,
( op(e2,e0) = e3
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f362,plain,
( spl0_36
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f363,plain,
( op(e2,e1) = e0
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( spl0_37
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f366,plain,
( op(e2,e1) = e1
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,plain,
( spl0_38
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f369,plain,
( op(e2,e1) = e2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( spl0_39
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f372,plain,
( op(e2,e1) = e3
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f39,f362,f365,f368,f371]) ).
fof(f375,plain,
( spl0_40
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f376,plain,
( op(e2,e2) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( spl0_41
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f379,plain,
( op(e2,e2) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( spl0_42
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f382,plain,
( op(e2,e2) = e2
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,plain,
( spl0_43
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f385,plain,
( op(e2,e2) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f40,f375,f378,f381,f384]) ).
fof(f388,plain,
( spl0_44
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f389,plain,
( op(e2,e3) = e0
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( spl0_45
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f392,plain,
( op(e2,e3) = e1
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( spl0_46
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f395,plain,
( op(e2,e3) = e2
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,plain,
( spl0_47
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f398,plain,
( op(e2,e3) = e3
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f401,plain,
( spl0_48
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f402,plain,
( op(e3,e0) = e0
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( spl0_49
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f405,plain,
( op(e3,e0) = e1
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( spl0_50
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f408,plain,
( op(e3,e0) = e2
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( spl0_51
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f411,plain,
( op(e3,e0) = e3
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f42,f401,f404,f407,f410]) ).
fof(f414,plain,
( spl0_52
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f415,plain,
( op(e3,e1) = e0
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( spl0_53
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f418,plain,
( op(e3,e1) = e1
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( spl0_54
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f421,plain,
( op(e3,e1) = e2
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,plain,
( spl0_55
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f424,plain,
( op(e3,e1) = e3
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f43,f414,f417,f420,f423]) ).
fof(f427,plain,
( spl0_56
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f428,plain,
( op(e3,e2) = e0
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( spl0_57
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f431,plain,
( op(e3,e2) = e1
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,plain,
( spl0_58
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f434,plain,
( op(e3,e2) = e2
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,plain,
( spl0_59
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f437,plain,
( op(e3,e2) = e3
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f440,plain,
( spl0_60
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f441,plain,
( op(e3,e3) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( spl0_61
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f444,plain,
( op(e3,e3) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( spl0_62
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f447,plain,
( op(e3,e3) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( spl0_63
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f450,plain,
( op(e3,e3) = e3
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f453,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f46,f245,f258,f271,f284]) ).
fof(f454,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f47,f245,f297,f349,f401]) ).
fof(f455,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f48,f248,f261,f274,f287]) ).
fof(f456,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f49,f248,f300,f352,f404]) ).
fof(f457,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f50,f251,f264,f277,f290]) ).
fof(f458,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f51,f251,f303,f355,f407]) ).
fof(f459,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f52,f254,f267,f280,f293]) ).
fof(f460,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f53,f254,f306,f358,f410]) ).
fof(f461,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f54,f297,f310,f323,f336]) ).
fof(f462,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f55,f258,f310,f362,f414]) ).
fof(f463,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f56,f300,f313,f326,f339]) ).
fof(f464,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f57,f261,f313,f365,f417]) ).
fof(f465,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f58,f303,f316,f329,f342]) ).
fof(f466,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f59,f264,f316,f368,f420]) ).
fof(f467,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f60,f306,f319,f332,f345]) ).
fof(f468,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f61,f267,f319,f371,f423]) ).
fof(f469,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f62,f349,f362,f375,f388]) ).
fof(f470,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f63,f271,f323,f375,f427]) ).
fof(f471,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f64,f352,f365,f378,f391]) ).
fof(f472,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f65,f274,f326,f378,f430]) ).
fof(f473,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f66,f355,f368,f381,f394]) ).
fof(f474,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f67,f277,f329,f381,f433]) ).
fof(f475,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f68,f358,f371,f384,f397]) ).
fof(f476,plain,
( spl0_11
| spl0_27
| spl0_43
| spl0_59 ),
inference(split_clause,[status(thm)],[f69,f280,f332,f384,f436]) ).
fof(f477,plain,
( spl0_48
| spl0_52
| spl0_56
| spl0_60 ),
inference(split_clause,[status(thm)],[f70,f401,f414,f427,f440]) ).
fof(f478,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f71,f284,f336,f388,f440]) ).
fof(f479,plain,
( spl0_49
| spl0_53
| spl0_57
| spl0_61 ),
inference(split_clause,[status(thm)],[f72,f404,f417,f430,f443]) ).
fof(f480,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f73,f287,f339,f391,f443]) ).
fof(f481,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f74,f407,f420,f433,f446]) ).
fof(f482,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f75,f290,f342,f394,f446]) ).
fof(f483,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f76,f410,f423,f436,f449]) ).
fof(f484,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f77,f293,f345,f397,f449]) ).
fof(f485,plain,
( spl0_64
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( spl0_64
| spl0_60 ),
inference(split_clause,[status(thm)],[f137,f485,f440]) ).
fof(f489,plain,
( spl0_64
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f138,f485,f410]) ).
fof(f490,plain,
( spl0_65
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f493,plain,
( spl0_65
| spl0_61 ),
inference(split_clause,[status(thm)],[f139,f490,f443]) ).
fof(f494,plain,
( spl0_65
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f140,f490,f423]) ).
fof(f495,plain,
( spl0_66
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f498,plain,
( spl0_66
| spl0_62 ),
inference(split_clause,[status(thm)],[f141,f495,f446]) ).
fof(f499,plain,
( spl0_66
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f142,f495,f436]) ).
fof(f500,plain,
( spl0_67
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f503,plain,
( spl0_67
| spl0_63 ),
inference(split_clause,[status(thm)],[f143,f500,f449]) ).
fof(f504,plain,
( spl0_67
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f144,f500,f449]) ).
fof(f505,plain,
( spl0_68
<=> e0 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f507,plain,
( e0 != op(e3,op(e3,e3))
| spl0_68 ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( spl0_69
<=> e1 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f509,plain,
( e1 = op(op(e3,e3),e3)
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( e1 != op(op(e3,e3),e3)
| spl0_69 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( ~ spl0_68
| ~ spl0_69
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f146,f505,f508,f446]) ).
fof(f512,plain,
( spl0_70
<=> e0 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f514,plain,
( e0 != op(e2,op(e2,e2))
| spl0_70 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( spl0_71
<=> e1 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f517,plain,
( e1 != op(op(e2,e2),e2)
| spl0_71 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( ~ spl0_70
| ~ spl0_71
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f148,f512,f515,f384]) ).
fof(f519,plain,
( spl0_72
<=> e2 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f520,plain,
( e2 = op(op(e3,e3),e3)
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f521,plain,
( e2 != op(op(e3,e3),e3)
| spl0_72 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( ~ spl0_68
| ~ spl0_72
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f150,f505,f519,f443]) ).
fof(f523,plain,
( spl0_73
<=> e0 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f524,plain,
( e0 = op(e1,op(e1,e1))
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f525,plain,
( e0 != op(e1,op(e1,e1))
| spl0_73 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( spl0_74
<=> e2 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f528,plain,
( e2 != op(op(e1,e1),e1)
| spl0_74 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( ~ spl0_73
| ~ spl0_74
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f152,f523,f526,f319]) ).
fof(f530,plain,
( spl0_75
<=> e3 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f532,plain,
( e3 != op(op(e2,e2),e2)
| spl0_75 ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( ~ spl0_70
| ~ spl0_75
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f154,f512,f530,f378]) ).
fof(f534,plain,
( spl0_76
<=> e3 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f535,plain,
( e3 = op(op(e1,e1),e1)
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f536,plain,
( e3 != op(op(e1,e1),e1)
| spl0_76 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( ~ spl0_73
| ~ spl0_76
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f156,f523,f534,f316]) ).
fof(f538,plain,
( spl0_77
<=> e1 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f540,plain,
( e1 != op(e3,op(e3,e3))
| spl0_77 ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( spl0_78
<=> e0 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f543,plain,
( e0 != op(op(e3,e3),e3)
| spl0_78 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( ~ spl0_77
| ~ spl0_78
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f158,f538,f541,f446]) ).
fof(f545,plain,
( spl0_79
<=> e1 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f547,plain,
( e1 != op(e2,op(e2,e2))
| spl0_79 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( spl0_80
<=> e0 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f550,plain,
( e0 != op(op(e2,e2),e2)
| spl0_80 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( ~ spl0_79
| ~ spl0_80
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f160,f545,f548,f384]) ).
fof(f552,plain,
( ~ spl0_77
| ~ spl0_72
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f162,f538,f519,f440]) ).
fof(f553,plain,
( spl0_81
<=> e1 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f555,plain,
( e1 != op(e0,op(e0,e0))
| spl0_81 ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,plain,
( spl0_82
<=> e2 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f557,plain,
( e2 = op(op(e0,e0),e0)
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f558,plain,
( e2 != op(op(e0,e0),e0)
| spl0_82 ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,plain,
( ~ spl0_81
| ~ spl0_82
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f164,f553,f556,f254]) ).
fof(f560,plain,
( ~ spl0_79
| ~ spl0_75
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f166,f545,f530,f375]) ).
fof(f561,plain,
( spl0_83
<=> e3 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f563,plain,
( e3 != op(op(e0,e0),e0)
| spl0_83 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,plain,
( ~ spl0_81
| ~ spl0_83
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f168,f553,f561,f251]) ).
fof(f565,plain,
( spl0_84
<=> e2 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f567,plain,
( e2 != op(e3,op(e3,e3))
| spl0_84 ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,plain,
( ~ spl0_84
| ~ spl0_78
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f170,f565,f541,f443]) ).
fof(f569,plain,
( spl0_85
<=> e2 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f571,plain,
( e2 != op(e1,op(e1,e1))
| spl0_85 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( spl0_86
<=> e0 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f574,plain,
( e0 != op(op(e1,e1),e1)
| spl0_86 ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( ~ spl0_85
| ~ spl0_86
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f172,f569,f572,f319]) ).
fof(f576,plain,
( ~ spl0_84
| ~ spl0_69
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f174,f565,f508,f440]) ).
fof(f577,plain,
( spl0_87
<=> e2 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f578,plain,
( e2 = op(e0,op(e0,e0))
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f579,plain,
( e2 != op(e0,op(e0,e0))
| spl0_87 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,plain,
( spl0_88
<=> e1 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f582,plain,
( e1 != op(op(e0,e0),e0)
| spl0_88 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( ~ spl0_87
| ~ spl0_88
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f176,f577,f580,f254]) ).
fof(f584,plain,
( ~ spl0_85
| ~ spl0_76
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f178,f569,f534,f310]) ).
fof(f585,plain,
( ~ spl0_87
| ~ spl0_83
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f180,f577,f561,f248]) ).
fof(f586,plain,
( spl0_89
<=> e3 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f587,plain,
( e3 = op(e2,op(e2,e2))
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f588,plain,
( e3 != op(e2,op(e2,e2))
| spl0_89 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,plain,
( ~ spl0_89
| ~ spl0_80
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f182,f586,f548,f378]) ).
fof(f590,plain,
( spl0_90
<=> e3 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f592,plain,
( e3 != op(e1,op(e1,e1))
| spl0_90 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,plain,
( ~ spl0_90
| ~ spl0_86
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f184,f590,f572,f316]) ).
fof(f594,plain,
( ~ spl0_89
| ~ spl0_71
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f186,f586,f515,f375]) ).
fof(f595,plain,
( spl0_91
<=> e3 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f597,plain,
( e3 != op(e0,op(e0,e0))
| spl0_91 ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( ~ spl0_91
| ~ spl0_88
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f188,f595,f580,f251]) ).
fof(f599,plain,
( ~ spl0_90
| ~ spl0_74
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f190,f590,f526,f310]) ).
fof(f600,plain,
( ~ spl0_91
| ~ spl0_82
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f192,f595,f556,f248]) ).
fof(f601,plain,
( spl0_92
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f604,plain,
( ~ spl0_64
| spl0_92
| spl0_40 ),
inference(split_clause,[status(thm)],[f196,f485,f601,f375]) ).
fof(f605,plain,
( ~ spl0_64
| spl0_92
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f197,f485,f601,f355]) ).
fof(f606,plain,
( spl0_93
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f609,plain,
( ~ spl0_65
| spl0_93
| spl0_41 ),
inference(split_clause,[status(thm)],[f201,f490,f606,f378]) ).
fof(f610,plain,
( ~ spl0_65
| spl0_93
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f202,f490,f606,f368]) ).
fof(f611,plain,
( spl0_94
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f614,plain,
( ~ spl0_66
| spl0_94
| spl0_42 ),
inference(split_clause,[status(thm)],[f206,f495,f611,f381]) ).
fof(f615,plain,
( ~ spl0_66
| spl0_94
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f207,f495,f611,f381]) ).
fof(f616,plain,
( spl0_95
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f619,plain,
( ~ spl0_67
| spl0_95
| spl0_43 ),
inference(split_clause,[status(thm)],[f211,f500,f616,f384]) ).
fof(f620,plain,
( ~ spl0_67
| spl0_95
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f212,f500,f616,f394]) ).
fof(f621,plain,
( spl0_96
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f624,plain,
( ~ spl0_92
| spl0_96
| spl0_20 ),
inference(split_clause,[status(thm)],[f216,f601,f621,f310]) ).
fof(f625,plain,
( ~ spl0_92
| spl0_96
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f217,f601,f621,f300]) ).
fof(f626,plain,
( spl0_97
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f629,plain,
( ~ spl0_93
| spl0_97
| spl0_21 ),
inference(split_clause,[status(thm)],[f221,f606,f626,f313]) ).
fof(f630,plain,
( ~ spl0_93
| spl0_97
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f222,f606,f626,f313]) ).
fof(f631,plain,
( spl0_98
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f634,plain,
( ~ spl0_94
| spl0_98
| spl0_22 ),
inference(split_clause,[status(thm)],[f226,f611,f631,f316]) ).
fof(f635,plain,
( ~ spl0_94
| spl0_98
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f227,f611,f631,f326]) ).
fof(f636,plain,
( spl0_99
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f639,plain,
( ~ spl0_95
| spl0_99
| spl0_23 ),
inference(split_clause,[status(thm)],[f231,f616,f636,f319]) ).
fof(f640,plain,
( ~ spl0_95
| spl0_99
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f232,f616,f636,f339]) ).
fof(f641,plain,
( ~ spl0_96
| spl0_0 ),
inference(split_clause,[status(thm)],[f234,f621,f245]) ).
fof(f642,plain,
( ~ spl0_96
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f235,f621,f245]) ).
fof(f643,plain,
( ~ spl0_97
| spl0_1 ),
inference(split_clause,[status(thm)],[f237,f626,f248]) ).
fof(f644,plain,
( ~ spl0_97
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f238,f626,f258]) ).
fof(f645,plain,
( ~ spl0_98
| spl0_2 ),
inference(split_clause,[status(thm)],[f240,f631,f251]) ).
fof(f646,plain,
( ~ spl0_98
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f241,f631,f271]) ).
fof(f647,plain,
( ~ spl0_99
| spl0_3 ),
inference(split_clause,[status(thm)],[f243,f636,f254]) ).
fof(f648,plain,
( ~ spl0_99
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f244,f636,f284]) ).
fof(f649,plain,
( e0 = e3
| ~ spl0_0
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f246,f255]) ).
fof(f650,plain,
( $false
| ~ spl0_0
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f649,f128]) ).
fof(f651,plain,
( ~ spl0_0
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f650]) ).
fof(f653,plain,
( e2 = e3
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f382,f385]) ).
fof(f654,plain,
( $false
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f653,f131]) ).
fof(f655,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f654]) ).
fof(f659,plain,
( e0 = e1
| ~ spl0_40
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f376,f379]) ).
fof(f660,plain,
( $false
| ~ spl0_40
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f659,f126]) ).
fof(f661,plain,
( ~ spl0_40
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f660]) ).
fof(f663,plain,
( e0 = e3
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f311,f320]) ).
fof(f664,plain,
( $false
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f663,f128]) ).
fof(f665,plain,
( ~ spl0_20
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f664]) ).
fof(f666,plain,
( e0 = e1
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f324,f327]) ).
fof(f667,plain,
( $false
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f666,f126]) ).
fof(f668,plain,
( ~ spl0_24
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f667]) ).
fof(f669,plain,
( e2 = e3
| ~ spl0_30
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f343,f346]) ).
fof(f670,plain,
( $false
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f669,f131]) ).
fof(f671,plain,
( ~ spl0_30
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f670]) ).
fof(f672,plain,
( e2 = e3
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f291,f294]) ).
fof(f673,plain,
( $false
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f672,f131]) ).
fof(f674,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f673]) ).
fof(f675,plain,
( e1 = e3
| ~ spl0_45
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f392,f398]) ).
fof(f676,plain,
( $false
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f130]) ).
fof(f677,plain,
( ~ spl0_45
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f676]) ).
fof(f678,plain,
( e1 = e2
| ~ spl0_57
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f431,f434]) ).
fof(f679,plain,
( $false
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f678,f129]) ).
fof(f680,plain,
( ~ spl0_57
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f679]) ).
fof(f681,plain,
( e1 = e2
| ~ spl0_53
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f418,f421]) ).
fof(f682,plain,
( $false
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f681,f129]) ).
fof(f683,plain,
( ~ spl0_53
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f684,plain,
( e1 = e2
| ~ spl0_49
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f405,f408]) ).
fof(f685,plain,
( $false
| ~ spl0_49
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f129]) ).
fof(f686,plain,
( ~ spl0_49
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f685]) ).
fof(f687,plain,
( e2 = e3
| ~ spl0_26
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f330,f333]) ).
fof(f688,plain,
( $false
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f131]) ).
fof(f689,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f688]) ).
fof(f690,plain,
( e2 = e3
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f278,f281]) ).
fof(f691,plain,
( $false
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f690,f131]) ).
fof(f692,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f691]) ).
fof(f693,plain,
( e1 = e3
| ~ spl0_37
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f366,f372]) ).
fof(f694,plain,
( $false
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f693,f130]) ).
fof(f695,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f694]) ).
fof(f696,plain,
( e1 = e3
| ~ spl0_33
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f353,f359]) ).
fof(f697,plain,
( $false
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f696,f130]) ).
fof(f698,plain,
( ~ spl0_33
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f697]) ).
fof(f699,plain,
( e2 = e3
| ~ spl0_6
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f265,f268]) ).
fof(f700,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f699,f131]) ).
fof(f701,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f700]) ).
fof(f702,plain,
( e2 = e3
| ~ spl0_18
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f304,f307]) ).
fof(f703,plain,
( $false
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f702,f131]) ).
fof(f704,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f703]) ).
fof(f708,plain,
( e1 = e3
| ~ spl0_61
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f444,f450]) ).
fof(f709,plain,
( $false
| ~ spl0_61
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f708,f130]) ).
fof(f710,plain,
( ~ spl0_61
| ~ spl0_63 ),
inference(contradiction_clause,[status(thm)],[f709]) ).
fof(f715,plain,
( e2 != op(e1,e0)
| ~ spl0_1
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f249,f558]) ).
fof(f719,plain,
( e2 != op(e0,e1)
| ~ spl0_1
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f249,f579]) ).
fof(f725,plain,
( e1 = e2
| ~ spl0_1
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f249,f252]) ).
fof(f726,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f725,f129]) ).
fof(f727,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f726]) ).
fof(f732,plain,
( e2 != op(e3,e2)
| ~ spl0_62
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f447,f567]) ).
fof(f734,plain,
( e1 != op(e3,e2)
| ~ spl0_62
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f447,f540]) ).
fof(f736,plain,
( e0 != op(e3,e2)
| ~ spl0_62
| spl0_68 ),
inference(backward_demodulation,[status(thm)],[f447,f507]) ).
fof(f737,plain,
( e0 != e0
| ~ spl0_56
| ~ spl0_62
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f428,f736]) ).
fof(f738,plain,
( $false
| ~ spl0_56
| ~ spl0_62
| spl0_68 ),
inference(trivial_equality_resolution,[status(esa)],[f737]) ).
fof(f739,plain,
( ~ spl0_56
| ~ spl0_62
| spl0_68 ),
inference(contradiction_clause,[status(thm)],[f738]) ).
fof(f740,plain,
( e1 = e2
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f314,f317]) ).
fof(f741,plain,
( $false
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f740,f129]) ).
fof(f742,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f741]) ).
fof(f745,plain,
( e1 = e3
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f301,f307]) ).
fof(f746,plain,
( $false
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f745,f130]) ).
fof(f747,plain,
( ~ spl0_17
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f746]) ).
fof(f751,plain,
( e0 = e3
| ~ spl0_60
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f441,f450]) ).
fof(f752,plain,
( $false
| ~ spl0_60
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f751,f128]) ).
fof(f753,plain,
( ~ spl0_60
| ~ spl0_63 ),
inference(contradiction_clause,[status(thm)],[f752]) ).
fof(f758,plain,
( ~ spl0_57
| ~ spl0_62
| spl0_77 ),
inference(split_clause,[status(thm)],[f734,f430,f446,f538]) ).
fof(f760,plain,
( e0 != op(e1,e2)
| ~ spl0_22
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f317,f525]) ).
fof(f767,plain,
( e2 != op(e0,e0)
| ~ spl0_0
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f246,f579]) ).
fof(f768,plain,
( ~ spl0_2
| ~ spl0_0
| spl0_87 ),
inference(split_clause,[status(thm)],[f767,f251,f245,f577]) ).
fof(f769,plain,
( e2 != op(e2,e1)
| ~ spl0_22
| spl0_74 ),
inference(forward_demodulation,[status(thm)],[f317,f528]) ).
fof(f775,plain,
( e1 != op(e3,e2)
| ~ spl0_43
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f385,f517]) ).
fof(f776,plain,
( e1 != e1
| ~ spl0_57
| ~ spl0_43
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f431,f775]) ).
fof(f777,plain,
( $false
| ~ spl0_57
| ~ spl0_43
| spl0_71 ),
inference(trivial_equality_resolution,[status(esa)],[f776]) ).
fof(f778,plain,
( ~ spl0_57
| ~ spl0_43
| spl0_71 ),
inference(contradiction_clause,[status(thm)],[f777]) ).
fof(f783,plain,
( e1 != op(e2,e3)
| ~ spl0_62
| spl0_69 ),
inference(backward_demodulation,[status(thm)],[f447,f510]) ).
fof(f785,plain,
( e0 != op(e2,e3)
| ~ spl0_62
| spl0_78 ),
inference(backward_demodulation,[status(thm)],[f447,f543]) ).
fof(f786,plain,
( e0 != e0
| ~ spl0_44
| ~ spl0_62
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f389,f785]) ).
fof(f787,plain,
( $false
| ~ spl0_44
| ~ spl0_62
| spl0_78 ),
inference(trivial_equality_resolution,[status(esa)],[f786]) ).
fof(f788,plain,
( ~ spl0_44
| ~ spl0_62
| spl0_78 ),
inference(contradiction_clause,[status(thm)],[f787]) ).
fof(f790,plain,
( e0 = e3
| ~ spl0_48
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f402,f411]) ).
fof(f791,plain,
( $false
| ~ spl0_48
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f790,f128]) ).
fof(f792,plain,
( ~ spl0_48
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f791]) ).
fof(f797,plain,
( e1 = e2
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f288,f291]) ).
fof(f798,plain,
( $false
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f797,f129]) ).
fof(f799,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f798]) ).
fof(f800,plain,
( e2 != op(e3,e1)
| ~ spl0_23
| spl0_74 ),
inference(forward_demodulation,[status(thm)],[f320,f528]) ).
fof(f806,plain,
( e0 != op(e1,e3)
| ~ spl0_23
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f320,f525]) ).
fof(f807,plain,
( e0 != e0
| ~ spl0_28
| ~ spl0_23
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f337,f806]) ).
fof(f808,plain,
( $false
| ~ spl0_28
| ~ spl0_23
| spl0_73 ),
inference(trivial_equality_resolution,[status(esa)],[f807]) ).
fof(f809,plain,
( ~ spl0_28
| ~ spl0_23
| spl0_73 ),
inference(contradiction_clause,[status(thm)],[f808]) ).
fof(f812,plain,
( e1 != op(e0,e3)
| ~ spl0_60
| spl0_69 ),
inference(forward_demodulation,[status(thm)],[f441,f510]) ).
fof(f814,plain,
( e1 != op(e3,e0)
| ~ spl0_60
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f441,f540]) ).
fof(f822,plain,
( e0 = e1
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f337,f340]) ).
fof(f823,plain,
( $false
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f822,f126]) ).
fof(f824,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f823]) ).
fof(f826,plain,
( e0 = e3
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f350,f359]) ).
fof(f827,plain,
( $false
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f826,f128]) ).
fof(f828,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f827]) ).
fof(f829,plain,
( e3 != op(e3,e0)
| ~ spl0_3
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f255,f563]) ).
fof(f832,plain,
( $false
| ~ spl0_60
| spl0_77
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f405,f814]) ).
fof(f833,plain,
( ~ spl0_60
| spl0_77
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f832]) ).
fof(f834,plain,
( e0 = e2
| ~ spl0_16
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f298,f304]) ).
fof(f835,plain,
( $false
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f834,f127]) ).
fof(f836,plain,
( ~ spl0_16
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f835]) ).
fof(f837,plain,
( e0 = e2
| ~ spl0_52
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f415,f421]) ).
fof(f838,plain,
( $false
| ~ spl0_52
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f837,f127]) ).
fof(f839,plain,
( ~ spl0_52
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f838]) ).
fof(f842,plain,
( e0 = e3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f259,f268]) ).
fof(f843,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f842,f128]) ).
fof(f844,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f843]) ).
fof(f847,plain,
( e0 != op(e0,e2)
| ~ spl0_40
| spl0_80 ),
inference(backward_demodulation,[status(thm)],[f376,f550]) ).
fof(f848,plain,
( ~ spl0_8
| ~ spl0_40
| spl0_80 ),
inference(split_clause,[status(thm)],[f847,f271,f375,f548]) ).
fof(f849,plain,
( ~ spl0_24
| ~ spl0_22
| spl0_73 ),
inference(split_clause,[status(thm)],[f760,f323,f316,f523]) ).
fof(f852,plain,
( e2 != op(e3,e0)
| ~ spl0_3
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f255,f558]) ).
fof(f853,plain,
( ~ spl0_50
| ~ spl0_3
| spl0_82 ),
inference(split_clause,[status(thm)],[f852,f407,f254,f556]) ).
fof(f854,plain,
( e2 != op(e0,e3)
| ~ spl0_3
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f255,f579]) ).
fof(f855,plain,
( ~ spl0_14
| ~ spl0_3
| spl0_87 ),
inference(split_clause,[status(thm)],[f854,f290,f254,f577]) ).
fof(f856,plain,
( e1 != op(e3,e0)
| ~ spl0_3
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f255,f582]) ).
fof(f858,plain,
( e0 = e2
| ~ spl0_48
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f402,f408]) ).
fof(f859,plain,
( $false
| ~ spl0_48
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f858,f127]) ).
fof(f860,plain,
( ~ spl0_48
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f859]) ).
fof(f865,plain,
( e0 = e1
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f311,f314]) ).
fof(f866,plain,
( $false
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f865,f126]) ).
fof(f867,plain,
( ~ spl0_20
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f866]) ).
fof(f872,plain,
( e0 != op(e2,e1)
| ~ spl0_41
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f379,f514]) ).
fof(f873,plain,
( e0 != e0
| ~ spl0_36
| ~ spl0_41
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f363,f872]) ).
fof(f874,plain,
( $false
| ~ spl0_36
| ~ spl0_41
| spl0_70 ),
inference(trivial_equality_resolution,[status(esa)],[f873]) ).
fof(f875,plain,
( ~ spl0_36
| ~ spl0_41
| spl0_70 ),
inference(contradiction_clause,[status(thm)],[f874]) ).
fof(f880,plain,
( e0 = e2
| ~ spl0_60
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f441,f447]) ).
fof(f881,plain,
( $false
| ~ spl0_60
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f880,f127]) ).
fof(f882,plain,
( ~ spl0_60
| ~ spl0_62 ),
inference(contradiction_clause,[status(thm)],[f881]) ).
fof(f883,plain,
( ~ spl0_58
| ~ spl0_62
| spl0_84 ),
inference(split_clause,[status(thm)],[f732,f433,f446,f565]) ).
fof(f886,plain,
( e1 != op(e1,e3)
| ~ spl0_61
| spl0_69 ),
inference(backward_demodulation,[status(thm)],[f444,f510]) ).
fof(f887,plain,
( ~ spl0_45
| ~ spl0_62
| spl0_69 ),
inference(split_clause,[status(thm)],[f783,f391,f446,f508]) ).
fof(f888,plain,
( e0 = e1
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f272,f275]) ).
fof(f889,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f888,f126]) ).
fof(f890,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( e0 != op(e2,e3)
| ~ spl0_43
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f385,f514]) ).
fof(f893,plain,
( ~ spl0_44
| ~ spl0_43
| spl0_70 ),
inference(split_clause,[status(thm)],[f892,f388,f384,f512]) ).
fof(f894,plain,
( e3 != op(e2,e3)
| ~ spl0_43
| spl0_89 ),
inference(backward_demodulation,[status(thm)],[f385,f588]) ).
fof(f895,plain,
( ~ spl0_47
| ~ spl0_43
| spl0_89 ),
inference(split_clause,[status(thm)],[f894,f397,f384,f586]) ).
fof(f896,plain,
( e1 = e2
| ~ spl0_33
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f353,f356]) ).
fof(f897,plain,
( $false
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f896,f129]) ).
fof(f898,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f897]) ).
fof(f900,plain,
( e2 != op(e3,e0)
| ~ spl0_60
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f441,f567]) ).
fof(f910,plain,
( e2 = e3
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f252,f255]) ).
fof(f911,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f910,f131]) ).
fof(f912,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f911]) ).
fof(f913,plain,
( ~ spl0_49
| ~ spl0_3
| spl0_88 ),
inference(split_clause,[status(thm)],[f856,f404,f254,f580]) ).
fof(f914,plain,
( e1 = e2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f262,f265]) ).
fof(f915,plain,
( $false
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f914,f129]) ).
fof(f916,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f915]) ).
fof(f923,plain,
( e1 != op(e2,e0)
| ~ spl0_2
| spl0_88 ),
inference(backward_demodulation,[status(thm)],[f252,f582]) ).
fof(f924,plain,
( ~ spl0_33
| ~ spl0_2
| spl0_88 ),
inference(split_clause,[status(thm)],[f923,f352,f251,f580]) ).
fof(f926,plain,
( e0 != op(e3,e1)
| ~ spl0_61
| spl0_68 ),
inference(backward_demodulation,[status(thm)],[f444,f507]) ).
fof(f927,plain,
( ~ spl0_52
| ~ spl0_61
| spl0_68 ),
inference(split_clause,[status(thm)],[f926,f414,f443,f505]) ).
fof(f929,plain,
( e3 != op(e0,e2)
| ~ spl0_2
| spl0_91 ),
inference(forward_demodulation,[status(thm)],[f252,f597]) ).
fof(f930,plain,
( e3 != e3
| ~ spl0_11
| ~ spl0_2
| spl0_91 ),
inference(forward_demodulation,[status(thm)],[f281,f929]) ).
fof(f931,plain,
( $false
| ~ spl0_11
| ~ spl0_2
| spl0_91 ),
inference(trivial_equality_resolution,[status(esa)],[f930]) ).
fof(f932,plain,
( ~ spl0_11
| ~ spl0_2
| spl0_91 ),
inference(contradiction_clause,[status(thm)],[f931]) ).
fof(f934,plain,
( e3 != op(e3,e2)
| ~ spl0_43
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f385,f532]) ).
fof(f938,plain,
( e1 = e2
| ~ spl0_25
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f327,f330]) ).
fof(f939,plain,
( $false
| ~ spl0_25
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f938,f129]) ).
fof(f940,plain,
( ~ spl0_25
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f939]) ).
fof(f942,plain,
( e2 != op(e1,e3)
| ~ spl0_61
| spl0_72 ),
inference(backward_demodulation,[status(thm)],[f444,f521]) ).
fof(f943,plain,
( ~ spl0_30
| ~ spl0_61
| spl0_72 ),
inference(split_clause,[status(thm)],[f942,f342,f443,f519]) ).
fof(f945,plain,
( e1 = e2
| ~ spl0_61
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f444,f447]) ).
fof(f946,plain,
( $false
| ~ spl0_61
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f945,f129]) ).
fof(f947,plain,
( ~ spl0_61
| ~ spl0_62 ),
inference(contradiction_clause,[status(thm)],[f946]) ).
fof(f949,plain,
( e3 != op(e2,e0)
| ~ spl0_2
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f252,f563]) ).
fof(f950,plain,
( ~ spl0_35
| ~ spl0_2
| spl0_83 ),
inference(split_clause,[status(thm)],[f949,f358,f251,f561]) ).
fof(f951,plain,
( e3 = op(e2,e3)
| ~ spl0_43
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f385,f587]) ).
fof(f953,plain,
( e0 != op(e3,e2)
| ~ spl0_43
| spl0_80 ),
inference(forward_demodulation,[status(thm)],[f385,f550]) ).
fof(f955,plain,
( $false
| ~ spl0_43
| spl0_80
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f953]) ).
fof(f956,plain,
( ~ spl0_43
| spl0_80
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f955]) ).
fof(f957,plain,
( e1 != op(e0,e2)
| ~ spl0_2
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f252,f555]) ).
fof(f958,plain,
( ~ spl0_9
| ~ spl0_2
| spl0_81 ),
inference(split_clause,[status(thm)],[f957,f274,f251,f553]) ).
fof(f960,plain,
( e1 != op(e2,e3)
| ~ spl0_43
| spl0_79 ),
inference(backward_demodulation,[status(thm)],[f385,f547]) ).
fof(f961,plain,
( ~ spl0_45
| ~ spl0_43
| spl0_79 ),
inference(split_clause,[status(thm)],[f960,f391,f384,f545]) ).
fof(f962,plain,
( e0 != op(e0,e1)
| ~ spl0_20
| spl0_86 ),
inference(backward_demodulation,[status(thm)],[f311,f574]) ).
fof(f965,plain,
( ~ spl0_29
| ~ spl0_61
| spl0_69 ),
inference(split_clause,[status(thm)],[f886,f339,f443,f508]) ).
fof(f970,plain,
( e2 = e3
| ~ spl0_58
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f434,f437]) ).
fof(f971,plain,
( $false
| ~ spl0_58
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f970,f131]) ).
fof(f972,plain,
( ~ spl0_58
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f971]) ).
fof(f973,plain,
( e0 = e1
| ~ spl0_32
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f350,f353]) ).
fof(f974,plain,
( $false
| ~ spl0_32
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f973,f126]) ).
fof(f975,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f974]) ).
fof(f977,plain,
( e3 != op(e0,e1)
| ~ spl0_20
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f311,f536]) ).
fof(f978,plain,
( ~ spl0_7
| ~ spl0_20
| spl0_76 ),
inference(split_clause,[status(thm)],[f977,f267,f310,f534]) ).
fof(f980,plain,
( e2 != op(e1,e0)
| ~ spl0_20
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f311,f571]) ).
fof(f981,plain,
( ~ spl0_18
| ~ spl0_20
| spl0_85 ),
inference(split_clause,[status(thm)],[f980,f303,f310,f569]) ).
fof(f985,plain,
( e2 != op(e3,e1)
| ~ spl0_61
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f444,f567]) ).
fof(f986,plain,
( ~ spl0_54
| ~ spl0_61
| spl0_84 ),
inference(split_clause,[status(thm)],[f985,f420,f443,f565]) ).
fof(f994,plain,
( e1 = e3
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f262,f268]) ).
fof(f995,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f994,f130]) ).
fof(f996,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f995]) ).
fof(f1006,plain,
( e1 = e3
| ~ spl0_41
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f379,f385]) ).
fof(f1007,plain,
( $false
| ~ spl0_41
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1006,f130]) ).
fof(f1008,plain,
( ~ spl0_41
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1007]) ).
fof(f1010,plain,
( e3 != op(e1,e0)
| ~ spl0_20
| spl0_90 ),
inference(backward_demodulation,[status(thm)],[f311,f592]) ).
fof(f1018,plain,
( ~ spl0_38
| ~ spl0_22
| spl0_74 ),
inference(split_clause,[status(thm)],[f769,f368,f316,f526]) ).
fof(f1020,plain,
( e0 != op(e2,e1)
| ~ spl0_22
| spl0_86 ),
inference(backward_demodulation,[status(thm)],[f317,f574]) ).
fof(f1025,plain,
( e2 = op(e0,e0)
| ~ spl0_0
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f246,f557]) ).
fof(f1026,plain,
( e2 = e0
| ~ spl0_0
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f246,f1025]) ).
fof(f1027,plain,
( $false
| ~ spl0_0
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f1026,f127]) ).
fof(f1028,plain,
( ~ spl0_0
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f1027]) ).
fof(f1029,plain,
( e3 = e0
| ~ spl0_44
| ~ spl0_43
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f389,f951]) ).
fof(f1030,plain,
( $false
| ~ spl0_44
| ~ spl0_43
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f1029,f128]) ).
fof(f1031,plain,
( ~ spl0_44
| ~ spl0_43
| ~ spl0_89 ),
inference(contradiction_clause,[status(thm)],[f1030]) ).
fof(f1040,plain,
( e0 = e3
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f285,f294]) ).
fof(f1041,plain,
( $false
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1040,f128]) ).
fof(f1042,plain,
( ~ spl0_12
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1041]) ).
fof(f1046,plain,
( ~ spl0_50
| ~ spl0_60
| spl0_84 ),
inference(split_clause,[status(thm)],[f900,f407,f440,f565]) ).
fof(f1050,plain,
( e0 = e1
| ~ spl0_60
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f441,f444]) ).
fof(f1051,plain,
( $false
| ~ spl0_60
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f1050,f126]) ).
fof(f1052,plain,
( ~ spl0_60
| ~ spl0_61 ),
inference(contradiction_clause,[status(thm)],[f1051]) ).
fof(f1057,plain,
( e3 != op(e1,e2)
| ~ spl0_22
| spl0_90 ),
inference(backward_demodulation,[status(thm)],[f317,f592]) ).
fof(f1058,plain,
( ~ spl0_27
| ~ spl0_22
| spl0_90 ),
inference(split_clause,[status(thm)],[f1057,f332,f316,f590]) ).
fof(f1061,plain,
( ~ spl0_4
| ~ spl0_20
| spl0_86 ),
inference(split_clause,[status(thm)],[f962,f258,f310,f572]) ).
fof(f1062,plain,
( ~ spl0_36
| ~ spl0_22
| spl0_86 ),
inference(split_clause,[status(thm)],[f1020,f362,f316,f572]) ).
fof(f1064,plain,
( e0 = e2
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f311,f317]) ).
fof(f1065,plain,
( $false
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1064,f127]) ).
fof(f1066,plain,
( ~ spl0_20
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f1065]) ).
fof(f1068,plain,
( e3 != op(e1,e2)
| ~ spl0_41
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f379,f532]) ).
fof(f1070,plain,
( e1 = e3
| ~ spl0_53
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f418,f424]) ).
fof(f1071,plain,
( $false
| ~ spl0_53
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f1070,f130]) ).
fof(f1072,plain,
( ~ spl0_53
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f1071]) ).
fof(f1082,plain,
( ~ spl0_13
| ~ spl0_60
| spl0_69 ),
inference(split_clause,[status(thm)],[f812,f287,f440,f508]) ).
fof(f1088,plain,
( e0 = e2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f259,f265]) ).
fof(f1089,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f1088,f127]) ).
fof(f1090,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f1089]) ).
fof(f1091,plain,
( e0 = e1
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f298,f301]) ).
fof(f1092,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1091,f126]) ).
fof(f1093,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1092]) ).
fof(f1099,plain,
( ~ spl0_27
| ~ spl0_41
| spl0_75 ),
inference(split_clause,[status(thm)],[f1068,f332,f378,f530]) ).
fof(f1114,plain,
( e1 = e3
| ~ spl0_21
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f314,f320]) ).
fof(f1115,plain,
( $false
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1114,f130]) ).
fof(f1116,plain,
( ~ spl0_21
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1115]) ).
fof(f1121,plain,
( e3 = op(e1,e1)
| ~ spl0_21
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f314,f535]) ).
fof(f1122,plain,
( e3 = e1
| ~ spl0_21
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f314,f1121]) ).
fof(f1123,plain,
( $false
| ~ spl0_21
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f1122,f130]) ).
fof(f1124,plain,
( ~ spl0_21
| ~ spl0_76 ),
inference(contradiction_clause,[status(thm)],[f1123]) ).
fof(f1127,plain,
( ~ spl0_54
| ~ spl0_23
| spl0_74 ),
inference(split_clause,[status(thm)],[f800,f420,f319,f526]) ).
fof(f1136,plain,
( e2 != op(e0,e3)
| ~ spl0_60
| spl0_72 ),
inference(backward_demodulation,[status(thm)],[f441,f521]) ).
fof(f1140,plain,
( e0 = e1
| ~ spl0_36
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f363,f366]) ).
fof(f1141,plain,
( $false
| ~ spl0_36
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1140,f126]) ).
fof(f1142,plain,
( ~ spl0_36
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f1141]) ).
fof(f1154,plain,
( e3 != op(e1,e3)
| ~ spl0_23
| spl0_90 ),
inference(forward_demodulation,[status(thm)],[f320,f592]) ).
fof(f1155,plain,
( e3 != e3
| ~ spl0_31
| ~ spl0_23
| spl0_90 ),
inference(forward_demodulation,[status(thm)],[f346,f1154]) ).
fof(f1156,plain,
( $false
| ~ spl0_31
| ~ spl0_23
| spl0_90 ),
inference(trivial_equality_resolution,[status(esa)],[f1155]) ).
fof(f1157,plain,
( ~ spl0_31
| ~ spl0_23
| spl0_90 ),
inference(contradiction_clause,[status(thm)],[f1156]) ).
fof(f1160,plain,
( e1 = e2
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f275,f278]) ).
fof(f1161,plain,
( $false
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1160,f129]) ).
fof(f1162,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1161]) ).
fof(f1173,plain,
( ~ spl0_59
| ~ spl0_43
| spl0_75 ),
inference(split_clause,[status(thm)],[f934,f436,f384,f530]) ).
fof(f1175,plain,
( e0 = e2
| ~ spl0_36
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f363,f369]) ).
fof(f1176,plain,
( $false
| ~ spl0_36
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1175,f127]) ).
fof(f1177,plain,
( ~ spl0_36
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1176]) ).
fof(f1185,plain,
( e2 = e1
| ~ spl0_69
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f509,f520]) ).
fof(f1186,plain,
( $false
| ~ spl0_69
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f1185,f129]) ).
fof(f1187,plain,
( ~ spl0_69
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f1186]) ).
fof(f1195,plain,
( e0 = e1
| ~ spl0_48
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f402,f405]) ).
fof(f1196,plain,
( $false
| ~ spl0_48
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1195,f126]) ).
fof(f1197,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1196]) ).
fof(f1199,plain,
( ~ spl0_14
| ~ spl0_60
| spl0_72 ),
inference(split_clause,[status(thm)],[f1136,f290,f440,f519]) ).
fof(f1242,plain,
( e2 != op(e1,e3)
| ~ spl0_23
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f320,f571]) ).
fof(f1243,plain,
( e3 != op(e2,e1)
| ~ spl0_41
| spl0_89 ),
inference(backward_demodulation,[status(thm)],[f379,f588]) ).
fof(f1255,plain,
( e2 = e3
| ~ spl0_54
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f421,f424]) ).
fof(f1256,plain,
( $false
| ~ spl0_54
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f1255,f131]) ).
fof(f1257,plain,
( ~ spl0_54
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f1256]) ).
fof(f1259,plain,
( e0 = e1
| ~ spl0_0
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f246,f249]) ).
fof(f1260,plain,
( $false
| ~ spl0_0
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1259,f126]) ).
fof(f1261,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f1260]) ).
fof(f1262,plain,
( ~ spl0_6
| ~ spl0_1
| spl0_87 ),
inference(split_clause,[status(thm)],[f719,f264,f248,f577]) ).
fof(f1270,plain,
( e1 = e2
| ~ spl0_41
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f379,f382]) ).
fof(f1271,plain,
( $false
| ~ spl0_41
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f1270,f129]) ).
fof(f1272,plain,
( ~ spl0_41
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f1271]) ).
fof(f1273,plain,
( ~ spl0_39
| ~ spl0_41
| spl0_89 ),
inference(split_clause,[status(thm)],[f1243,f371,f378,f586]) ).
fof(f1275,plain,
( ~ spl0_19
| ~ spl0_20
| spl0_90 ),
inference(split_clause,[status(thm)],[f1010,f306,f310,f590]) ).
fof(f1280,plain,
( e2 != op(e2,e3)
| ~ spl0_62
| spl0_72 ),
inference(backward_demodulation,[status(thm)],[f447,f521]) ).
fof(f1281,plain,
( ~ spl0_46
| ~ spl0_62
| spl0_72 ),
inference(split_clause,[status(thm)],[f1280,f394,f446,f519]) ).
fof(f1286,plain,
( e2 = e3
| ~ spl0_62
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f447,f450]) ).
fof(f1287,plain,
( $false
| ~ spl0_62
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f1286,f131]) ).
fof(f1288,plain,
( ~ spl0_62
| ~ spl0_63 ),
inference(contradiction_clause,[status(thm)],[f1287]) ).
fof(f1291,plain,
( ~ spl0_51
| ~ spl0_3
| spl0_83 ),
inference(split_clause,[status(thm)],[f829,f410,f254,f561]) ).
fof(f1297,plain,
( e2 = e3
| ~ spl0_50
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f408,f411]) ).
fof(f1298,plain,
( $false
| ~ spl0_50
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f1297,f131]) ).
fof(f1299,plain,
( ~ spl0_50
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f1298]) ).
fof(f1308,plain,
( e0 = e3
| ~ spl0_40
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f376,f385]) ).
fof(f1309,plain,
( $false
| ~ spl0_40
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1308,f128]) ).
fof(f1310,plain,
( ~ spl0_40
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1309]) ).
fof(f1314,plain,
( e2 = op(e1,e0)
| ~ spl0_1
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f249,f557]) ).
fof(f1315,plain,
( e2 = e0
| ~ spl0_16
| ~ spl0_1
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f298,f1314]) ).
fof(f1316,plain,
( $false
| ~ spl0_16
| ~ spl0_1
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f1315,f127]) ).
fof(f1317,plain,
( ~ spl0_16
| ~ spl0_1
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f1316]) ).
fof(f1319,plain,
( e0 = e3
| ~ spl0_52
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f415,f424]) ).
fof(f1320,plain,
( $false
| ~ spl0_52
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f1319,f128]) ).
fof(f1321,plain,
( ~ spl0_52
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f1320]) ).
fof(f1328,plain,
( e0 = op(e1,e2)
| ~ spl0_22
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f317,f524]) ).
fof(f1336,plain,
( e0 = e2
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f350,f356]) ).
fof(f1337,plain,
( $false
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f1336,f127]) ).
fof(f1338,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f1337]) ).
fof(f1342,plain,
( e3 != op(e2,e1)
| ~ spl0_22
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f317,f536]) ).
fof(f1343,plain,
( ~ spl0_39
| ~ spl0_22
| spl0_76 ),
inference(split_clause,[status(thm)],[f1342,f371,f316,f534]) ).
fof(f1349,plain,
( e1 = e3
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f249,f255]) ).
fof(f1350,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1349,f130]) ).
fof(f1351,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f1350]) ).
fof(f1355,plain,
( e1 = e3
| ~ spl0_29
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f340,f346]) ).
fof(f1356,plain,
( $false
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1355,f130]) ).
fof(f1357,plain,
( ~ spl0_29
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f1356]) ).
fof(f1362,plain,
( e0 != op(e2,e2)
| ~ spl0_22
| ~ spl0_73 ),
inference(backward_demodulation,[status(thm)],[f1328,f93]) ).
fof(f1363,plain,
( ~ spl0_40
| ~ spl0_22
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f1362,f375,f316,f523]) ).
fof(f1364,plain,
( e3 != op(e2,e0)
| ~ spl0_40
| spl0_89 ),
inference(backward_demodulation,[status(thm)],[f376,f588]) ).
fof(f1367,plain,
( e0 = e2
| ~ spl0_40
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f376,f382]) ).
fof(f1368,plain,
( $false
| ~ spl0_40
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f1367,f127]) ).
fof(f1369,plain,
( ~ spl0_40
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f1368]) ).
fof(f1375,plain,
( ~ spl0_18
| ~ spl0_1
| spl0_82 ),
inference(split_clause,[status(thm)],[f715,f303,f248,f556]) ).
fof(f1378,plain,
( e0 = e2
| ~ spl0_56
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f428,f434]) ).
fof(f1379,plain,
( $false
| ~ spl0_56
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f1378,f127]) ).
fof(f1380,plain,
( ~ spl0_56
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f1379]) ).
fof(f1387,plain,
( e1 = e2
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f366,f369]) ).
fof(f1388,plain,
( $false
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1387,f129]) ).
fof(f1389,plain,
( ~ spl0_37
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1388]) ).
fof(f1394,plain,
( e3 != op(e3,e1)
| ~ spl0_23
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f320,f536]) ).
fof(f1395,plain,
( ~ spl0_55
| ~ spl0_23
| spl0_76 ),
inference(split_clause,[status(thm)],[f1394,f423,f319,f534]) ).
fof(f1397,plain,
( e2 = e3
| ~ spl0_22
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f317,f320]) ).
fof(f1398,plain,
( $false
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1397,f131]) ).
fof(f1399,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1398]) ).
fof(f1433,plain,
( e1 = e2
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f340,f343]) ).
fof(f1434,plain,
( $false
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f1433,f129]) ).
fof(f1435,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f1434]) ).
fof(f1441,plain,
( ~ spl0_30
| ~ spl0_23
| spl0_85 ),
inference(split_clause,[status(thm)],[f1242,f342,f319,f569]) ).
fof(f1448,plain,
( e1 = e3
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f275,f281]) ).
fof(f1449,plain,
( $false
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f1448,f130]) ).
fof(f1450,plain,
( ~ spl0_9
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1449]) ).
fof(f1451,plain,
( e2 = e3
| ~ spl0_46
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f395,f398]) ).
fof(f1452,plain,
( $false
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1451,f131]) ).
fof(f1453,plain,
( ~ spl0_46
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1452]) ).
fof(f1459,plain,
( e1 != op(e2,e0)
| ~ spl0_40
| spl0_79 ),
inference(backward_demodulation,[status(thm)],[f376,f547]) ).
fof(f1460,plain,
( ~ spl0_33
| ~ spl0_40
| spl0_79 ),
inference(split_clause,[status(thm)],[f1459,f352,f375,f545]) ).
fof(f1476,plain,
( e2 = e3
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f369,f372]) ).
fof(f1477,plain,
( $false
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f1476,f131]) ).
fof(f1478,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f1477]) ).
fof(f1495,plain,
( e0 != op(e1,e3)
| ~ spl0_61
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f444,f543]) ).
fof(f1496,plain,
( ~ spl0_28
| ~ spl0_61
| spl0_78 ),
inference(split_clause,[status(thm)],[f1495,f336,f443,f541]) ).
fof(f1511,plain,
( e0 = e2
| ~ spl0_28
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f337,f343]) ).
fof(f1512,plain,
( $false
| ~ spl0_28
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f1511,f127]) ).
fof(f1513,plain,
( ~ spl0_28
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f1512]) ).
fof(f1515,plain,
( e2 = op(e0,e0)
| ~ spl0_0
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f246,f578]) ).
fof(f1516,plain,
( e2 = e0
| ~ spl0_0
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f246,f1515]) ).
fof(f1517,plain,
( $false
| ~ spl0_0
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f1516,f127]) ).
fof(f1518,plain,
( ~ spl0_0
| ~ spl0_87 ),
inference(contradiction_clause,[status(thm)],[f1517]) ).
fof(f1520,plain,
( e0 = e3
| ~ spl0_16
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f298,f307]) ).
fof(f1521,plain,
( $false
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f1520,f128]) ).
fof(f1522,plain,
( ~ spl0_16
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f1521]) ).
fof(f1523,plain,
( e1 = e3
| ~ spl0_13
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f288,f294]) ).
fof(f1524,plain,
( $false
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1523,f130]) ).
fof(f1525,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1524]) ).
fof(f1530,plain,
( e1 = e3
| ~ spl0_49
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f405,f411]) ).
fof(f1531,plain,
( $false
| ~ spl0_49
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f1530,f130]) ).
fof(f1532,plain,
( ~ spl0_49
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f1531]) ).
fof(f1535,plain,
( ~ spl0_35
| ~ spl0_40
| spl0_89 ),
inference(split_clause,[status(thm)],[f1364,f358,f375,f586]) ).
fof(f1546,plain,
( e0 = e2
| ~ spl0_24
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f324,f330]) ).
fof(f1547,plain,
( $false
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f1546,f127]) ).
fof(f1548,plain,
( ~ spl0_24
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f1547]) ).
fof(f1550,plain,
( e1 = e2
| ~ spl0_45
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f392,f395]) ).
fof(f1551,plain,
( $false
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1550,f129]) ).
fof(f1552,plain,
( ~ spl0_45
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f1551]) ).
fof(f1553,plain,
( e1 = e2
| ~ spl0_17
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f301,f304]) ).
fof(f1554,plain,
( $false
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f1553,f129]) ).
fof(f1555,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f1554]) ).
fof(f1559,plain,
( e0 = e1
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f259,f262]) ).
fof(f1560,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f1559,f126]) ).
fof(f1561,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f1560]) ).
fof(f1590,plain,
( e1 = e3
| ~ spl0_25
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f327,f333]) ).
fof(f1591,plain,
( $false
| ~ spl0_25
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f1590,f130]) ).
fof(f1592,plain,
( ~ spl0_25
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f1591]) ).
fof(f1600,plain,
( e0 = e2
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f389,f395]) ).
fof(f1601,plain,
( $false
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1600,f127]) ).
fof(f1602,plain,
( ~ spl0_44
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f1601]) ).
fof(f1607,plain,
( e0 = e2
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f272,f278]) ).
fof(f1608,plain,
( $false
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1607,f127]) ).
fof(f1609,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1608]) ).
fof(f1613,plain,
( e0 = e3
| ~ spl0_28
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f337,f346]) ).
fof(f1614,plain,
( $false
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1613,f128]) ).
fof(f1615,plain,
( ~ spl0_28
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f1614]) ).
fof(f1616,plain,
$false,
inference(sat_refutation,[status(thm)],[f270,f309,f348,f374,f387,f413,f426,f453,f454,f455,f456,f457,f458,f459,f460,f461,f462,f463,f464,f465,f466,f467,f468,f469,f470,f471,f472,f473,f474,f475,f476,f477,f478,f479,f480,f481,f482,f483,f484,f488,f489,f493,f494,f498,f499,f503,f504,f511,f518,f522,f529,f533,f537,f544,f551,f552,f559,f560,f564,f568,f575,f576,f583,f584,f585,f589,f593,f594,f598,f599,f600,f604,f605,f609,f610,f614,f615,f619,f620,f624,f625,f629,f630,f634,f635,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f651,f655,f661,f665,f668,f671,f674,f677,f680,f683,f686,f689,f692,f695,f698,f701,f704,f710,f727,f739,f742,f747,f753,f758,f768,f778,f788,f792,f799,f809,f824,f828,f833,f836,f839,f844,f848,f849,f853,f855,f860,f867,f875,f882,f883,f887,f890,f893,f895,f898,f912,f913,f916,f924,f927,f932,f940,f943,f947,f950,f956,f958,f961,f965,f972,f975,f978,f981,f986,f996,f1008,f1018,f1028,f1031,f1042,f1046,f1052,f1058,f1061,f1062,f1066,f1072,f1082,f1090,f1093,f1099,f1116,f1124,f1127,f1142,f1157,f1162,f1173,f1177,f1187,f1197,f1199,f1257,f1261,f1262,f1272,f1273,f1275,f1281,f1288,f1291,f1299,f1310,f1317,f1321,f1338,f1343,f1351,f1357,f1363,f1369,f1375,f1380,f1389,f1395,f1399,f1435,f1441,f1450,f1453,f1460,f1478,f1496,f1513,f1518,f1522,f1525,f1532,f1535,f1548,f1552,f1555,f1561,f1592,f1602,f1609,f1615]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG142+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:51:14 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.44 % Refutation found
% 0.20/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.46 % Elapsed time: 0.112728 seconds
% 0.20/0.46 % CPU time: 0.780451 seconds
% 0.20/0.46 % Total memory used: 20.173 MB
% 0.20/0.46 % Net memory used: 19.660 MB
%------------------------------------------------------------------------------