TSTP Solution File: ALG138+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG138+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:10:13 EDT 2024
% Result : Unsatisfiable 0.11s 0.35s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 96
% Syntax : Number of formulae : 395 ( 87 unt; 0 def)
% Number of atoms : 1048 ( 632 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 1049 ( 396 ~; 461 |; 117 &)
% ( 75 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 77 ( 75 usr; 76 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op(e0,e0) = e0
& op(e1,e1) = e1
& op(e2,e2) = e2
& op(e3,e3) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e0 = op(e3,e2)
& e1 = op(op(e3,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e0 = op(e1,e3)
& e2 = op(op(e1,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e0 = op(e2,e1)
& e3 = op(op(e2,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e1 = op(e2,e3)
& e0 = op(op(e2,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e1 = op(e0,e3)
& e2 = op(op(e0,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e1 = op(e3,e0)
& e2 = op(op(e3,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e1 = op(e0,e2)
& e3 = op(op(e0,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e1 = op(e2,e0)
& e3 = op(op(e2,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e2 = op(e1,e3)
& e0 = op(op(e1,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e2 = op(e3,e1)
& e0 = op(op(e3,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e2 = op(e0,e3)
& e1 = op(op(e0,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e2 = op(e0,e1)
& e3 = op(op(e0,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e2 = op(e1,e0)
& e3 = op(op(e1,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e3 = op(e1,e2)
& e0 = op(op(e1,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e3 = op(e0,e2)
& e1 = op(op(e0,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e3 = op(e2,e0)
& e1 = op(op(e2,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(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(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(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(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(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(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(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(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f132,plain,
op(e0,e0) = e0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f133,plain,
op(e1,e1) = e1,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f134,plain,
op(e2,e2) = e2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f135,plain,
op(e3,e3) = e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f138,plain,
( e0 != op(e3,e2)
| e1 != op(op(e3,e2),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f139,plain,
( e0 != op(e3,e2)
| e1 != op(op(e3,e2),e2) ),
inference(cnf_transformation,[status(esa)],[f138]) ).
fof(f140,plain,
( e0 != op(e1,e3)
| e2 != op(op(e1,e3),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f141,plain,
( e0 != op(e1,e3)
| e2 != op(op(e1,e3),e3) ),
inference(cnf_transformation,[status(esa)],[f140]) ).
fof(f146,plain,
( e0 != op(e2,e1)
| e3 != op(op(e2,e1),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f147,plain,
( e0 != op(e2,e1)
| e3 != op(op(e2,e1),e1) ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f148,plain,
( e1 != op(e2,e3)
| e0 != op(op(e2,e3),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f149,plain,
( e1 != op(e2,e3)
| e0 != op(op(e2,e3),e3) ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f152,plain,
( e1 != op(e0,e3)
| e2 != op(op(e0,e3),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f153,plain,
( e1 != op(e0,e3)
| e2 != op(op(e0,e3),e3) ),
inference(cnf_transformation,[status(esa)],[f152]) ).
fof(f154,plain,
( e1 != op(e3,e0)
| e2 != op(op(e3,e0),e0) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f155,plain,
( e1 != op(e3,e0)
| e2 != op(op(e3,e0),e0) ),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f156,plain,
( e1 != op(e0,e2)
| e3 != op(op(e0,e2),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f157,plain,
( e1 != op(e0,e2)
| e3 != op(op(e0,e2),e2) ),
inference(cnf_transformation,[status(esa)],[f156]) ).
fof(f158,plain,
( e1 != op(e2,e0)
| e3 != op(op(e2,e0),e0) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f159,plain,
( e1 != op(e2,e0)
| e3 != op(op(e2,e0),e0) ),
inference(cnf_transformation,[status(esa)],[f158]) ).
fof(f160,plain,
( e2 != op(e1,e3)
| e0 != op(op(e1,e3),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f161,plain,
( e2 != op(e1,e3)
| e0 != op(op(e1,e3),e3) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f162,plain,
( e2 != op(e3,e1)
| e0 != op(op(e3,e1),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f163,plain,
( e2 != op(e3,e1)
| e0 != op(op(e3,e1),e1) ),
inference(cnf_transformation,[status(esa)],[f162]) ).
fof(f164,plain,
( e2 != op(e0,e3)
| e1 != op(op(e0,e3),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f165,plain,
( e2 != op(e0,e3)
| e1 != op(op(e0,e3),e3) ),
inference(cnf_transformation,[status(esa)],[f164]) ).
fof(f168,plain,
( e2 != op(e0,e1)
| e3 != op(op(e0,e1),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f169,plain,
( e2 != op(e0,e1)
| e3 != op(op(e0,e1),e1) ),
inference(cnf_transformation,[status(esa)],[f168]) ).
fof(f170,plain,
( e2 != op(e1,e0)
| e3 != op(op(e1,e0),e0) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f171,plain,
( e2 != op(e1,e0)
| e3 != op(op(e1,e0),e0) ),
inference(cnf_transformation,[status(esa)],[f170]) ).
fof(f172,plain,
( e3 != op(e1,e2)
| e0 != op(op(e1,e2),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f173,plain,
( e3 != op(e1,e2)
| e0 != op(op(e1,e2),e2) ),
inference(cnf_transformation,[status(esa)],[f172]) ).
fof(f176,plain,
( e3 != op(e0,e2)
| e1 != op(op(e0,e2),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f177,plain,
( e3 != op(e0,e2)
| e1 != op(op(e0,e2),e2) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f178,plain,
( e3 != op(e2,e0)
| e1 != op(op(e2,e0),e0) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f179,plain,
( e3 != op(e2,e0)
| e1 != op(op(e2,e0),e0) ),
inference(cnf_transformation,[status(esa)],[f178]) ).
fof(f184,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f187,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f188,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f191,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f194,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f30,f184,f187,f190,f193]) ).
fof(f197,plain,
( spl0_4
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f198,plain,
( op(e0,e1) = e0
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,plain,
( spl0_5
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f201,plain,
( op(e0,e1) = e1
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( spl0_6
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f204,plain,
( op(e0,e1) = e2
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( spl0_7
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f207,plain,
( op(e0,e1) = e3
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f210,plain,
( spl0_8
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f211,plain,
( op(e0,e2) = e0
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( spl0_9
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f216,plain,
( spl0_10
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f217,plain,
( op(e0,e2) = e2
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( spl0_11
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f220,plain,
( op(e0,e2) = e3
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f223,plain,
( spl0_12
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f224,plain,
( op(e0,e3) = e0
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,plain,
( spl0_13
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f227,plain,
( op(e0,e3) = e1
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,plain,
( spl0_14
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f230,plain,
( op(e0,e3) = e2
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( spl0_15
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f233,plain,
( op(e0,e3) = e3
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f33,f223,f226,f229,f232]) ).
fof(f236,plain,
( spl0_16
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f237,plain,
( op(e1,e0) = e0
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( spl0_17
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f240,plain,
( op(e1,e0) = e1
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( spl0_18
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f245,plain,
( spl0_19
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f246,plain,
( op(e1,e0) = e3
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f252,plain,
( spl0_21
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f255,plain,
( spl0_22
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f256,plain,
( op(e1,e1) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( spl0_23
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f259,plain,
( op(e1,e1) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f262,plain,
( spl0_24
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f263,plain,
( op(e1,e2) = e0
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,plain,
( spl0_25
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f266,plain,
( op(e1,e2) = e1
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,plain,
( spl0_26
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f269,plain,
( op(e1,e2) = e2
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( spl0_27
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f274,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f36,f262,f265,f268,f271]) ).
fof(f275,plain,
( spl0_28
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f278,plain,
( spl0_29
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f279,plain,
( op(e1,e3) = e1
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( spl0_30
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f282,plain,
( op(e1,e3) = e2
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f288,plain,
( spl0_32
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f289,plain,
( op(e2,e0) = e0
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,plain,
( spl0_33
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f292,plain,
( op(e2,e0) = e1
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( spl0_34
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f295,plain,
( op(e2,e0) = e2
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,plain,
( spl0_35
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f298,plain,
( op(e2,e0) = e3
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f38,f288,f291,f294,f297]) ).
fof(f301,plain,
( spl0_36
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f304,plain,
( spl0_37
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f305,plain,
( op(e2,e1) = e1
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( spl0_38
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f308,plain,
( op(e2,e1) = e2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f314,plain,
( spl0_40
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f315,plain,
( op(e2,e2) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( spl0_41
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f318,plain,
( op(e2,e2) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( spl0_42
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f323,plain,
( spl0_43
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f324,plain,
( op(e2,e2) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f327,plain,
( spl0_44
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f328,plain,
( op(e2,e3) = e0
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,plain,
( spl0_45
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f333,plain,
( spl0_46
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f334,plain,
( op(e2,e3) = e2
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( spl0_47
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f337,plain,
( op(e2,e3) = e3
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f41,f327,f330,f333,f336]) ).
fof(f340,plain,
( spl0_48
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f341,plain,
( op(e3,e0) = e0
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( spl0_49
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f344,plain,
( op(e3,e0) = e1
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,plain,
( spl0_50
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f347,plain,
( op(e3,e0) = e2
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,plain,
( spl0_51
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f350,plain,
( op(e3,e0) = e3
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f356,plain,
( spl0_53
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f357,plain,
( op(e3,e1) = e1
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( spl0_54
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f366,plain,
( spl0_56
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f367,plain,
( op(e3,e2) = e0
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( spl0_57
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f372,plain,
( spl0_58
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f373,plain,
( op(e3,e2) = e2
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( spl0_59
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f376,plain,
( op(e3,e2) = e3
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f44,f366,f369,f372,f375]) ).
fof(f379,plain,
( spl0_60
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f380,plain,
( op(e3,e3) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( spl0_61
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f383,plain,
( op(e3,e3) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( spl0_62
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f386,plain,
( op(e3,e3) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,plain,
( spl0_63
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f391,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f45,f379,f382,f385,f388]) ).
fof(f396,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f50,f190,f203,f216,f229]) ).
fof(f397,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f51,f190,f242,f294,f346]) ).
fof(f398,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f52,f193,f206,f219,f232]) ).
fof(f399,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f53,f193,f245,f297,f349]) ).
fof(f402,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f56,f239,f252,f265,f278]) ).
fof(f405,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f59,f203,f255,f307,f359]) ).
fof(f408,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f62,f288,f301,f314,f327]) ).
fof(f411,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f65,f213,f265,f317,f369]) ).
fof(f413,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f67,f216,f268,f320,f372]) ).
fof(f417,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f71,f223,f275,f327,f379]) ).
fof(f418,plain,
( spl0_49
| spl0_53
| spl0_57
| spl0_61 ),
inference(split_clause,[status(thm)],[f72,f343,f356,f369,f382]) ).
fof(f419,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f73,f226,f278,f330,f382]) ).
fof(f420,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f74,f346,f359,f372,f385]) ).
fof(f421,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f75,f229,f281,f333,f385]) ).
fof(f428,plain,
( spl0_65
<=> e1 = op(op(e3,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f431,plain,
( ~ spl0_56
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f139,f366,f428]) ).
fof(f432,plain,
( spl0_66
<=> e2 = op(op(e1,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f435,plain,
( ~ spl0_28
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f141,f275,f432]) ).
fof(f444,plain,
( spl0_69
<=> e3 = op(op(e2,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f447,plain,
( ~ spl0_36
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f147,f301,f444]) ).
fof(f448,plain,
( spl0_70
<=> e0 = op(op(e2,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f451,plain,
( ~ spl0_45
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f149,f330,f448]) ).
fof(f456,plain,
( spl0_72
<=> e2 = op(op(e0,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f459,plain,
( ~ spl0_13
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f153,f226,f456]) ).
fof(f460,plain,
( spl0_73
<=> e2 = op(op(e3,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f463,plain,
( ~ spl0_49
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f155,f343,f460]) ).
fof(f464,plain,
( spl0_74
<=> e3 = op(op(e0,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f467,plain,
( ~ spl0_9
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f157,f213,f464]) ).
fof(f468,plain,
( spl0_75
<=> e3 = op(op(e2,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f470,plain,
( e3 != op(op(e2,e0),e0)
| spl0_75 ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( ~ spl0_33
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f159,f291,f468]) ).
fof(f472,plain,
( spl0_76
<=> e0 = op(op(e1,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f474,plain,
( e0 != op(op(e1,e3),e3)
| spl0_76 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( ~ spl0_30
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f161,f281,f472]) ).
fof(f476,plain,
( spl0_77
<=> e0 = op(op(e3,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f479,plain,
( ~ spl0_54
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f163,f359,f476]) ).
fof(f480,plain,
( spl0_78
<=> e1 = op(op(e0,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f482,plain,
( e1 != op(op(e0,e3),e3)
| spl0_78 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( ~ spl0_14
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f165,f229,f480]) ).
fof(f488,plain,
( spl0_80
<=> e3 = op(op(e0,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f491,plain,
( ~ spl0_6
| ~ spl0_80 ),
inference(split_clause,[status(thm)],[f169,f203,f488]) ).
fof(f492,plain,
( spl0_81
<=> e3 = op(op(e1,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f495,plain,
( ~ spl0_18
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f171,f242,f492]) ).
fof(f496,plain,
( spl0_82
<=> e0 = op(op(e1,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f499,plain,
( ~ spl0_27
| ~ spl0_82 ),
inference(split_clause,[status(thm)],[f173,f271,f496]) ).
fof(f504,plain,
( spl0_84
<=> e1 = op(op(e0,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f506,plain,
( e1 != op(op(e0,e2),e2)
| spl0_84 ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( ~ spl0_11
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f177,f219,f504]) ).
fof(f508,plain,
( spl0_85
<=> e1 = op(op(e2,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f510,plain,
( e1 != op(op(e2,e0),e0)
| spl0_85 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( ~ spl0_35
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f179,f297,f508]) ).
fof(f520,plain,
e0 != op(e1,e0),
inference(backward_demodulation,[status(thm)],[f132,f78]) ).
fof(f521,plain,
e0 != op(e2,e0),
inference(forward_demodulation,[status(thm)],[f132,f79]) ).
fof(f522,plain,
e0 != op(e3,e0),
inference(forward_demodulation,[status(thm)],[f132,f80]) ).
fof(f523,plain,
op(e0,e1) != e1,
inference(paramodulation,[status(thm)],[f133,f84]) ).
fof(f524,plain,
e1 != op(e2,e1),
inference(forward_demodulation,[status(thm)],[f133,f87]) ).
fof(f525,plain,
e1 != op(e3,e1),
inference(forward_demodulation,[status(thm)],[f133,f88]) ).
fof(f526,plain,
op(e0,e2) != e2,
inference(paramodulation,[status(thm)],[f134,f91]) ).
fof(f528,plain,
op(e1,e2) != e2,
inference(paramodulation,[status(thm)],[f134,f93]) ).
fof(f530,plain,
e2 != op(e3,e2),
inference(forward_demodulation,[status(thm)],[f134,f95]) ).
fof(f539,plain,
( e3 != op(e3,e3)
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f337,f101]) ).
fof(f543,plain,
op(e0,e3) != e3,
inference(paramodulation,[status(thm)],[f135,f98]) ).
fof(f544,plain,
e0 != op(e0,e1),
inference(forward_demodulation,[status(thm)],[f132,f102]) ).
fof(f545,plain,
e0 != op(e0,e2),
inference(forward_demodulation,[status(thm)],[f132,f103]) ).
fof(f546,plain,
e0 != op(e0,e3),
inference(forward_demodulation,[status(thm)],[f132,f104]) ).
fof(f547,plain,
op(e1,e0) != e1,
inference(paramodulation,[status(thm)],[f133,f108]) ).
fof(f548,plain,
e1 != op(e1,e2),
inference(forward_demodulation,[status(thm)],[f133,f111]) ).
fof(f549,plain,
e1 != op(e1,e3),
inference(forward_demodulation,[status(thm)],[f133,f112]) ).
fof(f550,plain,
op(e2,e0) != e2,
inference(paramodulation,[status(thm)],[f134,f115]) ).
fof(f551,plain,
op(e2,e1) != e2,
inference(paramodulation,[status(thm)],[f134,f117]) ).
fof(f558,plain,
( e2 = e3
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f386,f135]) ).
fof(f559,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f558,f131]) ).
fof(f560,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f559]) ).
fof(f565,plain,
( $false
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f373,f530]) ).
fof(f566,plain,
~ spl0_58,
inference(contradiction_clause,[status(thm)],[f565]) ).
fof(f569,plain,
e2 != op(e2,e3),
inference(forward_demodulation,[status(thm)],[f134,f119]) ).
fof(f570,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f334]) ).
fof(f571,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f570]) ).
fof(f572,plain,
( e0 = e2
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f132,f191]) ).
fof(f573,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f572,f127]) ).
fof(f574,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f573]) ).
fof(f575,plain,
( e0 = e1
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f132,f188]) ).
fof(f576,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f575,f126]) ).
fof(f577,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f576]) ).
fof(f578,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f539,f135]) ).
fof(f579,plain,
~ spl0_47,
inference(contradiction_clause,[status(thm)],[f578]) ).
fof(f583,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f198,f544]) ).
fof(f584,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f583]) ).
fof(f585,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f237,f520]) ).
fof(f586,plain,
~ spl0_16,
inference(contradiction_clause,[status(thm)],[f585]) ).
fof(f587,plain,
( e0 = e3
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f132,f194]) ).
fof(f588,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f587,f128]) ).
fof(f589,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f588]) ).
fof(f591,plain,
op(e3,e0) != e3,
inference(paramodulation,[status(thm)],[f135,f122]) ).
fof(f594,plain,
( e3 != op(e3,e3)
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f376,f125]) ).
fof(f595,plain,
( $false
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f594,f135]) ).
fof(f596,plain,
~ spl0_59,
inference(contradiction_clause,[status(thm)],[f595]) ).
fof(f599,plain,
( e1 = e3
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f383,f135]) ).
fof(f600,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f599,f130]) ).
fof(f601,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f600]) ).
fof(f608,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f279,f549]) ).
fof(f609,plain,
~ spl0_29,
inference(contradiction_clause,[status(thm)],[f608]) ).
fof(f610,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f357,f525]) ).
fof(f611,plain,
~ spl0_53,
inference(contradiction_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( e0 = e3
| ~ spl0_60 ),
inference(backward_demodulation,[status(thm)],[f380,f135]) ).
fof(f613,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f612,f128]) ).
fof(f614,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f613]) ).
fof(f621,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f224,f546]) ).
fof(f622,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f621]) ).
fof(f623,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f341,f522]) ).
fof(f624,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f623]) ).
fof(f625,plain,
( e2 = e3
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f134,f324]) ).
fof(f626,plain,
( $false
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f625,f131]) ).
fof(f627,plain,
~ spl0_43,
inference(contradiction_clause,[status(thm)],[f626]) ).
fof(f628,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f269,f528]) ).
fof(f629,plain,
~ spl0_26,
inference(contradiction_clause,[status(thm)],[f628]) ).
fof(f630,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f217,f526]) ).
fof(f631,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f630]) ).
fof(f632,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f308,f551]) ).
fof(f633,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f632]) ).
fof(f634,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f295,f550]) ).
fof(f635,plain,
~ spl0_34,
inference(contradiction_clause,[status(thm)],[f634]) ).
fof(f636,plain,
( e1 = e2
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f318,f134]) ).
fof(f637,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f636,f129]) ).
fof(f638,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f637]) ).
fof(f643,plain,
( $false
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f266,f548]) ).
fof(f644,plain,
~ spl0_25,
inference(contradiction_clause,[status(thm)],[f643]) ).
fof(f645,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f524]) ).
fof(f646,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f645]) ).
fof(f647,plain,
( e0 = e2
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f315,f134]) ).
fof(f648,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f647,f127]) ).
fof(f649,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f648]) ).
fof(f654,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f211,f545]) ).
fof(f655,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f654]) ).
fof(f656,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f521]) ).
fof(f657,plain,
~ spl0_32,
inference(contradiction_clause,[status(thm)],[f656]) ).
fof(f658,plain,
( e1 = e3
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f133,f259]) ).
fof(f659,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f658,f130]) ).
fof(f660,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f659]) ).
fof(f661,plain,
( e1 = e2
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f133,f256]) ).
fof(f662,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f661,f129]) ).
fof(f663,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f662]) ).
fof(f664,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f201,f523]) ).
fof(f665,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f664]) ).
fof(f674,plain,
( e1 != op(e2,e3)
| ~ spl0_14
| spl0_78 ),
inference(backward_demodulation,[status(thm)],[f230,f482]) ).
fof(f697,plain,
( e1 = e2
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f227,f230]) ).
fof(f698,plain,
( $false
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f697,f129]) ).
fof(f699,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f698]) ).
fof(f709,plain,
( e1 = e2
| ~ spl0_49
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f344,f347]) ).
fof(f710,plain,
( $false
| ~ spl0_49
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f709,f129]) ).
fof(f711,plain,
( ~ spl0_49
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f710]) ).
fof(f723,plain,
( e1 != op(e3,e0)
| ~ spl0_35
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f298,f510]) ).
fof(f724,plain,
( ~ spl0_49
| ~ spl0_35
| spl0_85 ),
inference(split_clause,[status(thm)],[f723,f343,f297,f508]) ).
fof(f733,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f240,f547]) ).
fof(f734,plain,
~ spl0_17,
inference(contradiction_clause,[status(thm)],[f733]) ).
fof(f737,plain,
( e1 != op(e3,e2)
| ~ spl0_11
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f220,f506]) ).
fof(f747,plain,
( e0 != op(e3,e2)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f263,f94]) ).
fof(f748,plain,
( $false
| ~ spl0_56
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f747,f367]) ).
fof(f749,plain,
( ~ spl0_56
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f748]) ).
fof(f754,plain,
( $false
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f350,f591]) ).
fof(f755,plain,
~ spl0_51,
inference(contradiction_clause,[status(thm)],[f754]) ).
fof(f777,plain,
( e0 != op(e2,e3)
| ~ spl0_30
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f282,f474]) ).
fof(f778,plain,
( $false
| ~ spl0_44
| ~ spl0_30
| spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f777,f328]) ).
fof(f779,plain,
( ~ spl0_44
| ~ spl0_30
| spl0_76 ),
inference(contradiction_clause,[status(thm)],[f778]) ).
fof(f780,plain,
( ~ spl0_45
| ~ spl0_14
| spl0_78 ),
inference(split_clause,[status(thm)],[f674,f330,f229,f480]) ).
fof(f783,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f233,f543]) ).
fof(f784,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f783]) ).
fof(f789,plain,
( e2 = e3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f204,f207]) ).
fof(f790,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f789,f131]) ).
fof(f791,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f790]) ).
fof(f792,plain,
( ~ spl0_57
| ~ spl0_11
| spl0_84 ),
inference(split_clause,[status(thm)],[f737,f369,f219,f504]) ).
fof(f797,plain,
( e3 != op(e1,e0)
| ~ spl0_33
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f292,f470]) ).
fof(f798,plain,
( $false
| ~ spl0_19
| ~ spl0_33
| spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f797,f246]) ).
fof(f799,plain,
( ~ spl0_19
| ~ spl0_33
| spl0_75 ),
inference(contradiction_clause,[status(thm)],[f798]) ).
fof(f800,plain,
$false,
inference(sat_refutation,[status(thm)],[f196,f235,f274,f300,f339,f378,f391,f396,f397,f398,f399,f402,f405,f408,f411,f413,f417,f418,f419,f420,f421,f431,f435,f447,f451,f459,f463,f467,f471,f475,f479,f483,f491,f495,f499,f507,f511,f560,f566,f571,f574,f577,f579,f584,f586,f589,f596,f601,f609,f611,f614,f622,f624,f627,f629,f631,f633,f635,f638,f644,f646,f649,f655,f657,f660,f663,f665,f699,f711,f724,f734,f749,f755,f779,f780,f784,f791,f792,f799]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG138+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n032.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 23:38:35 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.11/0.35 % Refutation found
% 0.11/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.36 % Elapsed time: 0.022970 seconds
% 0.11/0.36 % CPU time: 0.060655 seconds
% 0.11/0.36 % Total memory used: 3.886 MB
% 0.11/0.36 % Net memory used: 3.820 MB
%------------------------------------------------------------------------------