TSTP Solution File: ALG045+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG045+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:09:12 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 76
% Syntax : Number of formulae : 371 ( 37 unt; 0 def)
% Number of atoms : 1102 ( 656 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 1179 ( 448 ~; 498 |; 175 &)
% ( 55 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 60 ( 58 usr; 59 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 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(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,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(f4,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(f5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(e3,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(e2,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(e1,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e1 = op(e0,e0)
& e2 = op(e3,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(e2,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(e3,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(e3,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(e0,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(e2,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(e0,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f35,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f36,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f39,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f40,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f44,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f47,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f48,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f49,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f50,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f51,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f52,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f53,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f55,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f61,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f63,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f68,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f69,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f70,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f80,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f88,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f91,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f92,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f94,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f95,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f96,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f97,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f98,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f99,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f104,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f109,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f113,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f114,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f115,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f116,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f120,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f121,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f122,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f124,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f128,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f129,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f130,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f131,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f133,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f137,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f138,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f139,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f141,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f142,plain,
( pd0_0
=> ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 ) ) ),
introduced(predicate_definition,[f6]) ).
fof(f143,plain,
( pd0_0
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ),
inference(formula_renaming,[status(thm)],[f6,f142]) ).
fof(f144,plain,
( pd0_0
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f145,plain,
( pd0_0
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f146,plain,
( pd0_0
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f148,plain,
( e0 != op(e1,e1)
| e2 != op(e3,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f149,plain,
( e0 != op(e1,e1)
| e2 != op(e3,e1) ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f150,plain,
( e0 != op(e1,e1)
| e3 != op(e2,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f151,plain,
( e0 != op(e1,e1)
| e3 != op(e2,e1) ),
inference(cnf_transformation,[status(esa)],[f150]) ).
fof(f158,plain,
( e0 != op(e3,e3)
| e2 != op(e1,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f159,plain,
( e0 != op(e3,e3)
| e2 != op(e1,e3) ),
inference(cnf_transformation,[status(esa)],[f158]) ).
fof(f160,plain,
( e1 != op(e0,e0)
| e2 != op(e3,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f161,plain,
( e1 != op(e0,e0)
| e2 != op(e3,e0) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f162,plain,
( e1 != op(e0,e0)
| e3 != op(e2,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f163,plain,
( e1 != op(e0,e0)
| e3 != op(e2,e0) ),
inference(cnf_transformation,[status(esa)],[f162]) ).
fof(f164,plain,
( e1 != op(e2,e2)
| e0 != op(e3,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f165,plain,
( e1 != op(e2,e2)
| e0 != op(e3,e2) ),
inference(cnf_transformation,[status(esa)],[f164]) ).
fof(f174,plain,
( e2 != op(e0,e0)
| e3 != op(e1,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f175,plain,
( e2 != op(e0,e0)
| e3 != op(e1,e0) ),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f176,plain,
( e2 != op(e1,e1)
| e0 != op(e3,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f177,plain,
( e2 != op(e1,e1)
| e0 != op(e3,e1) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f178,plain,
( e2 != op(e1,e1)
| e3 != op(e0,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f179,plain,
( e2 != op(e1,e1)
| e3 != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f178]) ).
fof(f184,plain,
( e3 != op(e0,e0)
| e1 != op(e2,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f185,plain,
( e3 != op(e0,e0)
| e1 != op(e2,e0) ),
inference(cnf_transformation,[status(esa)],[f184]) ).
fof(f186,plain,
( e3 != op(e0,e0)
| e2 != op(e1,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f187,plain,
( e3 != op(e0,e0)
| e2 != op(e1,e0) ),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f190,plain,
( e3 != op(e1,e1)
| e2 != op(e0,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f191,plain,
( e3 != op(e1,e1)
| e2 != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f196,plain,
( ~ pd0_0
| ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f142]) ).
fof(f197,plain,
( pd0_1
=> ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 ) ) ),
introduced(predicate_definition,[f196]) ).
fof(f198,plain,
( ~ pd0_0
| pd0_1
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 ) ),
inference(formula_renaming,[status(thm)],[f196,f197]) ).
fof(f199,plain,
( ~ pd0_0
| pd0_1
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f198]) ).
fof(f200,plain,
( ~ pd0_0
| pd0_1
| op(e1,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f198]) ).
fof(f201,plain,
( ~ pd0_0
| pd0_1
| op(e2,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f198]) ).
fof(f203,plain,
( ~ pd0_1
| ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f197]) ).
fof(f204,plain,
( pd0_2
=> ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 ) ),
introduced(predicate_definition,[f203]) ).
fof(f205,plain,
( ~ pd0_1
| pd0_2
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 ) ),
inference(formula_renaming,[status(thm)],[f203,f204]) ).
fof(f206,plain,
( ~ pd0_1
| pd0_2
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f205]) ).
fof(f207,plain,
( ~ pd0_1
| pd0_2
| op(e1,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f205]) ).
fof(f208,plain,
( ~ pd0_1
| pd0_2
| op(e2,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f205]) ).
fof(f210,plain,
( ~ pd0_2
| ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f204]) ).
fof(f211,plain,
( ~ pd0_2
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f210]) ).
fof(f212,plain,
( ~ pd0_2
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f210]) ).
fof(f214,plain,
( ~ pd0_2
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f210]) ).
fof(f215,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f216,plain,
( op(e0,e0) = e0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f219,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f222,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f225,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f228,plain,
( spl0_4
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f231,plain,
( spl0_5
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f234,plain,
( spl0_6
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f237,plain,
( spl0_7
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f240,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f32,f228,f231,f234,f237]) ).
fof(f241,plain,
( spl0_8
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f242,plain,
( op(e0,e2) = e0
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f247,plain,
( spl0_10
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f248,plain,
( op(e0,e2) = e2
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f254,plain,
( spl0_12
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f255,plain,
( op(e0,e3) = e0
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f263,plain,
( spl0_15
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f264,plain,
( op(e0,e3) = e3
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f267,plain,
( spl0_16
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f268,plain,
( op(e1,e0) = e0
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,plain,
( spl0_17
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f271,plain,
( op(e1,e0) = e1
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( spl0_18
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f274,plain,
( op(e1,e0) = e2
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,plain,
( spl0_19
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f279,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f35,f267,f270,f273,f276]) ).
fof(f280,plain,
( spl0_20
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f283,plain,
( spl0_21
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f284,plain,
( op(e1,e1) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( spl0_22
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f289,plain,
( spl0_23
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f292,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f36,f280,f283,f286,f289]) ).
fof(f299,plain,
( spl0_26
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f300,plain,
( op(e1,e2) = e2
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( spl0_27
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f309,plain,
( spl0_29
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f310,plain,
( op(e1,e3) = e1
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( spl0_30
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f313,plain,
( op(e1,e3) = e2
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( spl0_31
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f316,plain,
( op(e1,e3) = e3
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f319,plain,
( spl0_32
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f320,plain,
( op(e2,e0) = e0
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,plain,
( spl0_33
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f325,plain,
( spl0_34
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f326,plain,
( op(e2,e0) = e2
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( spl0_35
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f331,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f39,f319,f322,f325,f328]) ).
fof(f332,plain,
( spl0_36
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f335,plain,
( spl0_37
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f336,plain,
( op(e2,e1) = e1
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( spl0_38
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f339,plain,
( op(e2,e1) = e2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( spl0_39
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f344,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f40,f332,f335,f338,f341]) ).
fof(f348,plain,
( spl0_41
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f351,plain,
( spl0_42
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f352,plain,
( op(e2,e2) = e2
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( spl0_43
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f355,plain,
( op(e2,e2) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f364,plain,
( spl0_46
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f365,plain,
( op(e2,e3) = e2
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( spl0_47
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f368,plain,
( op(e2,e3) = e3
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f371,plain,
( spl0_48
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f372,plain,
( op(e3,e0) = e0
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f377,plain,
( spl0_50
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f380,plain,
( spl0_51
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f381,plain,
( op(e3,e0) = e3
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f384,plain,
( spl0_52
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f385,plain,
( op(e3,e1) = e0
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( spl0_53
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f388,plain,
( op(e3,e1) = e1
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( spl0_54
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f391,plain,
( op(e3,e1) = e2
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( spl0_55
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( op(e3,e1) = e3
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f44,f384,f387,f390,f393]) ).
fof(f397,plain,
( spl0_56
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f406,plain,
( spl0_59
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f407,plain,
( op(e3,e2) = e3
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f410,plain,
( spl0_60
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f423,plain,
( spl0_64
<=> unit = e0 ),
introduced(split_symbol_definition) ).
fof(f424,plain,
( unit = e0
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( spl0_65
<=> unit = e1 ),
introduced(split_symbol_definition) ).
fof(f427,plain,
( unit = e1
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( spl0_66
<=> unit = e2 ),
introduced(split_symbol_definition) ).
fof(f430,plain,
( unit = e2
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( spl0_67
<=> unit = e3 ),
introduced(split_symbol_definition) ).
fof(f433,plain,
( unit = e3
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( spl0_64
| spl0_65
| spl0_66
| spl0_67 ),
inference(split_clause,[status(thm)],[f55,f423,f426,f429,f432]) ).
fof(f441,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f61,f221,f273,f325,f377]) ).
fof(f443,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f63,f224,f276,f328,f380]) ).
fof(f448,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f68,f273,f286,f299,f312]) ).
fof(f449,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f69,f234,f286,f338,f390]) ).
fof(f450,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f70,f276,f289,f302,f315]) ).
fof(f460,plain,
( spl0_48
| spl0_52
| spl0_56
| spl0_60 ),
inference(split_clause,[status(thm)],[f80,f371,f384,f397,f410]) ).
fof(f468,plain,
( spl0_68
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f471,plain,
( spl0_68
| spl0_3 ),
inference(split_clause,[status(thm)],[f144,f468,f224]) ).
fof(f472,plain,
( spl0_68
| spl0_23 ),
inference(split_clause,[status(thm)],[f145,f468,f289]) ).
fof(f473,plain,
( spl0_68
| spl0_43 ),
inference(split_clause,[status(thm)],[f146,f468,f354]) ).
fof(f475,plain,
( ~ spl0_20
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f149,f280,f390]) ).
fof(f476,plain,
( ~ spl0_20
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f151,f280,f341]) ).
fof(f480,plain,
( ~ spl0_60
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f159,f410,f312]) ).
fof(f481,plain,
( ~ spl0_1
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f161,f218,f377]) ).
fof(f482,plain,
( ~ spl0_1
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f163,f218,f328]) ).
fof(f483,plain,
( ~ spl0_41
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f165,f348,f397]) ).
fof(f488,plain,
( ~ spl0_2
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f175,f221,f276]) ).
fof(f489,plain,
( ~ spl0_22
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f177,f286,f384]) ).
fof(f490,plain,
( ~ spl0_22
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f179,f286,f237]) ).
fof(f493,plain,
( ~ spl0_3
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f185,f224,f322]) ).
fof(f494,plain,
( ~ spl0_3
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f187,f224,f273]) ).
fof(f496,plain,
( ~ spl0_23
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f191,f289,f234]) ).
fof(f499,plain,
( spl0_69
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f502,plain,
( ~ spl0_68
| spl0_69
| spl0_2 ),
inference(split_clause,[status(thm)],[f199,f468,f499,f221]) ).
fof(f503,plain,
( ~ spl0_68
| spl0_69
| spl0_22 ),
inference(split_clause,[status(thm)],[f200,f468,f499,f286]) ).
fof(f504,plain,
( ~ spl0_68
| spl0_69
| spl0_42 ),
inference(split_clause,[status(thm)],[f201,f468,f499,f351]) ).
fof(f506,plain,
( spl0_70
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f509,plain,
( ~ spl0_69
| spl0_70
| spl0_1 ),
inference(split_clause,[status(thm)],[f206,f499,f506,f218]) ).
fof(f510,plain,
( ~ spl0_69
| spl0_70
| spl0_21 ),
inference(split_clause,[status(thm)],[f207,f499,f506,f283]) ).
fof(f511,plain,
( ~ spl0_69
| spl0_70
| spl0_41 ),
inference(split_clause,[status(thm)],[f208,f499,f506,f348]) ).
fof(f513,plain,
( ~ spl0_70
| spl0_0 ),
inference(split_clause,[status(thm)],[f211,f506,f215]) ).
fof(f514,plain,
( ~ spl0_70
| spl0_20 ),
inference(split_clause,[status(thm)],[f212,f506,f280]) ).
fof(f516,plain,
( ~ spl0_70
| spl0_60 ),
inference(split_clause,[status(thm)],[f214,f506,f410]) ).
fof(f518,plain,
( op(e0,e3) = e0
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f433,f48]) ).
fof(f519,plain,
( op(e3,e1) = e1
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f433,f49]) ).
fof(f519_001,plain,
( op(e3,e1) = e1
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f433,f49]) ).
fof(f520,plain,
( op(e1,e3) = e1
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f433,f50]) ).
fof(f522,plain,
( op(e2,e3) = e2
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f433,f52]) ).
fof(f525,plain,
( op(e0,e1) != e1
| ~ spl0_21 ),
inference(paramodulation,[status(thm)],[f284,f94]) ).
fof(f527,plain,
( op(e1,e1) != e1
| ~ spl0_67 ),
inference(paramodulation,[status(thm)],[f519,f98]) ).
fof(f528,plain,
( e1 != e1
| ~ spl0_21
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f284,f527]) ).
fof(f529,plain,
( $false
| ~ spl0_21
| ~ spl0_67 ),
inference(trivial_equality_resolution,[status(esa)],[f528]) ).
fof(f530,plain,
( ~ spl0_21
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f529]) ).
fof(f531,plain,
( e2 = e3
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f352,f355]) ).
fof(f532,plain,
( $false
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f531,f141]) ).
fof(f533,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f532]) ).
fof(f534,plain,
( e0 = e3
| ~ spl0_0
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f216,f225]) ).
fof(f535,plain,
( $false
| ~ spl0_0
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f138]) ).
fof(f536,plain,
( ~ spl0_0
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( op(e0,e2) = e0
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f430,f48]) ).
fof(f539,plain,
( op(e2,e1) = e1
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f430,f49]) ).
fof(f541,plain,
( op(e2,e2) = e2
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f430,f51]) ).
fof(f542,plain,
( spl0_42
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f541,f351,f429]) ).
fof(f545,plain,
( op(e2,e3) = e3
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f430,f53]) ).
fof(f546,plain,
( op(e3,e2) = e3
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f430,f54]) ).
fof(f553,plain,
( op(e3,e1) = e3
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f427,f54]) ).
fof(f554,plain,
( op(e1,e3) = e3
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f427,f53]) ).
fof(f555,plain,
( op(e2,e1) = e2
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f427,f52]) ).
fof(f557,plain,
( op(e1,e1) = e1
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f427,f50]) ).
fof(f558,plain,
( spl0_21
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f557,f283,f426]) ).
fof(f562,plain,
( op(e1,e0) = e0
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f427,f47]) ).
fof(f563,plain,
( op(e0,e0) = e0
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f424,f47]) ).
fof(f564,plain,
( spl0_0
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f563,f215,f423]) ).
fof(f567,plain,
( op(e0,e1) = e1
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f424,f49]) ).
fof(f569,plain,
( op(e0,e2) = e2
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f424,f51]) ).
fof(f570,plain,
( op(e2,e0) = e2
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f424,f52]) ).
fof(f571,plain,
( op(e0,e3) = e3
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f424,f53]) ).
fof(f572,plain,
( op(e3,e0) = e3
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f424,f54]) ).
fof(f575,plain,
( op(e1,e1) != e3
| ~ spl0_31 ),
inference(paramodulation,[status(thm)],[f316,f122]) ).
fof(f576,plain,
( op(e1,e0) != e3
| ~ spl0_31 ),
inference(paramodulation,[status(thm)],[f316,f120]) ).
fof(f578,plain,
( op(e3,e0) != e3
| ~ spl0_55 ),
inference(paramodulation,[status(thm)],[f394,f130]) ).
fof(f579,plain,
( op(e2,e1) != e3
| ~ spl0_55 ),
inference(paramodulation,[status(thm)],[f394,f99]) ).
fof(f583,plain,
( op(e2,e1) != e3
| ~ spl0_47 ),
inference(paramodulation,[status(thm)],[f368,f128]) ).
fof(f586,plain,
( op(e1,e3) != e3
| ~ spl0_47 ),
inference(paramodulation,[status(thm)],[f368,f109]) ).
fof(f587,plain,
( e3 != e3
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f316,f586]) ).
fof(f588,plain,
( $false
| ~ spl0_31
| ~ spl0_47 ),
inference(trivial_equality_resolution,[status(esa)],[f587]) ).
fof(f589,plain,
( ~ spl0_31
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f588]) ).
fof(f591,plain,
( spl0_31
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f554,f315,f426]) ).
fof(f593,plain,
( op(e0,e1) != e3
| ~ spl0_15 ),
inference(paramodulation,[status(thm)],[f264,f116]) ).
fof(f596,plain,
( op(e1,e0) != e3
| ~ spl0_51 ),
inference(paramodulation,[status(thm)],[f381,f92]) ).
fof(f598,plain,
( op(e2,e2) != e2
| ~ spl0_46 ),
inference(paramodulation,[status(thm)],[f365,f129]) ).
fof(f599,plain,
( ~ spl0_42
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f598,f351,f364]) ).
fof(f600,plain,
( op(e2,e1) != e2
| ~ spl0_46 ),
inference(paramodulation,[status(thm)],[f365,f128]) ).
fof(f604,plain,
( ~ spl0_23
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f575,f289,f315]) ).
fof(f605,plain,
( e3 != e3
| ~ spl0_51
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f381,f578]) ).
fof(f606,plain,
( $false
| ~ spl0_51
| ~ spl0_55 ),
inference(trivial_equality_resolution,[status(esa)],[f605]) ).
fof(f607,plain,
( ~ spl0_51
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f606]) ).
fof(f608,plain,
( ~ spl0_39
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f579,f341,f393]) ).
fof(f609,plain,
( spl0_51
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f572,f380,f423]) ).
fof(f617,plain,
( op(e0,e1) != e0
| ~ spl0_12 ),
inference(paramodulation,[status(thm)],[f255,f116]) ).
fof(f618,plain,
( op(e0,e0) != e0
| ~ spl0_12 ),
inference(paramodulation,[status(thm)],[f255,f114]) ).
fof(f627,plain,
( op(e1,e0) != e0
| ~ spl0_48 ),
inference(paramodulation,[status(thm)],[f372,f92]) ).
fof(f629,plain,
( op(e1,e1) != e2
| ~ spl0_26 ),
inference(paramodulation,[status(thm)],[f300,f121]) ).
fof(f633,plain,
( op(e0,e0) != e2
| ~ spl0_10 ),
inference(paramodulation,[status(thm)],[f248,f113]) ).
fof(f634,plain,
( op(e2,e0) != e2
| ~ spl0_38 ),
inference(paramodulation,[status(thm)],[f339,f124]) ).
fof(f635,plain,
( op(e1,e1) != e2
| ~ spl0_38 ),
inference(paramodulation,[status(thm)],[f339,f97]) ).
fof(f637,plain,
( op(e1,e0) != e2
| ~ spl0_34 ),
inference(paramodulation,[status(thm)],[f326,f91]) ).
fof(f647,plain,
( op(e0,e0) != e0
| ~ spl0_16 ),
inference(paramodulation,[status(thm)],[f268,f88]) ).
fof(f654,plain,
( op(e2,e1) != e1
| ~ spl0_53 ),
inference(paramodulation,[status(thm)],[f388,f99]) ).
fof(f656,plain,
( op(e0,e1) != e1
| ~ spl0_53 ),
inference(paramodulation,[status(thm)],[f388,f96]) ).
fof(f676,plain,
( e0 = e2
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f268,f274]) ).
fof(f677,plain,
( $false
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f676,f137]) ).
fof(f678,plain,
( ~ spl0_16
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( spl0_8
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f538,f241,f429]) ).
fof(f681,plain,
( spl0_47
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f545,f367,f429]) ).
fof(f682,plain,
( e1 = e2
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f310,f313]) ).
fof(f683,plain,
( $false
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f139]) ).
fof(f684,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f683]) ).
fof(f686,plain,
( spl0_55
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f553,f393,f426]) ).
fof(f687,plain,
( spl0_16
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f562,f267,f426]) ).
fof(f688,plain,
( op(e1,e0) != e0
| ~ spl0_32 ),
inference(paramodulation,[status(thm)],[f320,f91]) ).
fof(f693,plain,
( e1 = e2
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f388,f391]) ).
fof(f694,plain,
( $false
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f693,f139]) ).
fof(f695,plain,
( ~ spl0_53
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f694]) ).
fof(f699,plain,
( op(e0,e1) != e0
| ~ spl0_8 ),
inference(paramodulation,[status(thm)],[f242,f115]) ).
fof(f700,plain,
( op(e0,e0) != e0
| ~ spl0_8 ),
inference(paramodulation,[status(thm)],[f242,f113]) ).
fof(f703,plain,
( spl0_15
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f571,f263,f423]) ).
fof(f704,plain,
( ~ spl0_0
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f618,f215,f254]) ).
fof(f707,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f593,f237,f263]) ).
fof(f710,plain,
( ~ spl0_5
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f656,f231,f387]) ).
fof(f711,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f633,f221,f247]) ).
fof(f713,plain,
( spl0_12
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f518,f254,f432]) ).
fof(f714,plain,
( spl0_53
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f519,f387,f432]) ).
fof(f715,plain,
( spl0_29
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f520,f309,f432]) ).
fof(f724,plain,
( spl0_10
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f569,f247,f423]) ).
fof(f725,plain,
( ~ spl0_0
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f700,f215,f241]) ).
fof(f726,plain,
( ~ spl0_19
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f596,f276,f380]) ).
fof(f727,plain,
( ~ spl0_18
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f637,f273,f325]) ).
fof(f728,plain,
( ~ spl0_16
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f688,f267,f319]) ).
fof(f730,plain,
( ~ spl0_4
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f617,f228,f254]) ).
fof(f731,plain,
( spl0_34
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f570,f325,f423]) ).
fof(f732,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f525,f231,f283]) ).
fof(f734,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f699,f228,f241]) ).
fof(f735,plain,
( spl0_38
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f555,f338,f426]) ).
fof(f737,plain,
( ~ spl0_0
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f647,f215,f267]) ).
fof(f738,plain,
( ~ spl0_19
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f576,f276,f315]) ).
fof(f739,plain,
( spl0_46
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f522,f364,f432]) ).
fof(f743,plain,
( spl0_5
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f567,f231,f423]) ).
fof(f744,plain,
( ~ spl0_34
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f634,f325,f338]) ).
fof(f758,plain,
( op(e1,e1) != e1
| ~ spl0_37 ),
inference(paramodulation,[status(thm)],[f336,f97]) ).
fof(f759,plain,
( ~ spl0_21
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f758,f283,f335]) ).
fof(f760,plain,
( op(e0,e1) != e1
| ~ spl0_37 ),
inference(paramodulation,[status(thm)],[f336,f95]) ).
fof(f762,plain,
( op(e0,e0) != e1
| ~ spl0_17 ),
inference(paramodulation,[status(thm)],[f271,f88]) ).
fof(f763,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f762,f218,f270]) ).
fof(f765,plain,
( op(e3,e1) != e3
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f407,f133]) ).
fof(f766,plain,
( op(e3,e0) != e3
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f407,f131]) ).
fof(f767,plain,
( ~ spl0_51
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f766,f380,f406]) ).
fof(f769,plain,
( op(e1,e2) != e3
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f407,f104]) ).
fof(f770,plain,
( ~ spl0_27
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f769,f302,f406]) ).
fof(f774,plain,
( op(e2,e1) != e0
| ~ spl0_52 ),
inference(paramodulation,[status(thm)],[f385,f99]) ).
fof(f775,plain,
( ~ spl0_36
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f774,f332,f384]) ).
fof(f779,plain,
( e1 = e2
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f219,f222]) ).
fof(f780,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f779,f139]) ).
fof(f781,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f780]) ).
fof(f782,plain,
( ~ spl0_37
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f654,f335,f387]) ).
fof(f785,plain,
( ~ spl0_38
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f600,f338,f364]) ).
fof(f788,plain,
( spl0_37
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f539,f335,f429]) ).
fof(f789,plain,
( spl0_59
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f546,f406,f429]) ).
fof(f793,plain,
( ~ spl0_39
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f583,f341,f367]) ).
fof(f794,plain,
( ~ spl0_16
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f627,f267,f371]) ).
fof(f795,plain,
( ~ spl0_22
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f635,f286,f338]) ).
fof(f796,plain,
( ~ spl0_22
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f629,f286,f299]) ).
fof(f797,plain,
( ~ spl0_55
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f765,f393,f406]) ).
fof(f798,plain,
( ~ spl0_5
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f760,f231,f335]) ).
fof(f799,plain,
$false,
inference(sat_refutation,[status(thm)],[f240,f279,f292,f331,f344,f396,f435,f441,f443,f448,f449,f450,f460,f471,f472,f473,f475,f476,f480,f481,f482,f483,f488,f489,f490,f493,f494,f496,f502,f503,f504,f509,f510,f511,f513,f514,f516,f530,f533,f536,f542,f558,f564,f589,f591,f599,f604,f607,f608,f609,f678,f680,f681,f684,f686,f687,f695,f703,f704,f707,f710,f711,f713,f714,f715,f724,f725,f726,f727,f728,f730,f731,f732,f734,f735,f737,f738,f739,f743,f744,f759,f763,f767,f770,f775,f781,f782,f785,f788,f789,f793,f794,f795,f796,f797,f798]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ALG045+1 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:26:19 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.029623 seconds
% 0.13/0.38 % CPU time: 0.121076 seconds
% 0.13/0.38 % Total memory used: 5.924 MB
% 0.13/0.38 % Net memory used: 5.818 MB
%------------------------------------------------------------------------------