TSTP Solution File: FLD037-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD037-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 : Wed May 31 12:06:58 EDT 2023
% Result : Unsatisfiable 0.19s 0.60s
% Output : CNFRefutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 67 ( 19 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 136 ( 62 ~; 67 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 46 (; 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X] :
( equalish(multiply(X,multiplicative_inverse(X)),multiplicative_identity)
| ~ defined(X)
| equalish(X,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] :
( defined(multiplicative_inverse(X))
| ~ defined(X)
| equalish(X,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y] :
( less_or_equal(X,Y)
| less_or_equal(Y,X)
| ~ defined(X)
| ~ defined(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X] :
( equalish(X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] :
( equalish(X,Y)
| ~ equalish(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,Z,Y] :
( equalish(X,Z)
| ~ equalish(X,Y)
| ~ equalish(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X,Z,Y] :
( equalish(multiply(X,Z),multiply(Y,Z))
| ~ defined(Z)
| ~ equalish(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f49,plain,
defined(additive_identity),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f54,plain,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f58,plain,
! [Y] :
( ! [X] :
( less_or_equal(X,Y)
| less_or_equal(Y,X)
| ~ defined(X) )
| ~ defined(Y) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f59,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| less_or_equal(X1,X0)
| ~ defined(X0)
| ~ defined(X1) ),
inference(cnf_transformation,[status(esa)],[f58]) ).
fof(f64,plain,
! [X0] :
( equalish(X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f65,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f66,plain,
! [Z,Y] :
( ! [X] :
( equalish(X,Z)
| ~ equalish(X,Y) )
| ~ equalish(Y,Z) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f67,plain,
! [X0,X1,X2] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f70,plain,
! [X,Y] :
( ! [Z] :
( equalish(multiply(X,Z),multiply(Y,Z))
| ~ defined(Z) )
| ~ equalish(X,Y) ),
inference(miniscoping,[status(esa)],[f25]) ).
fof(f71,plain,
! [X0,X1,X2] :
( equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f75,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f76,plain,
defined(b),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f77,plain,
~ equalish(a,additive_identity),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f78,plain,
equalish(a,b),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f79,plain,
~ equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f81,plain,
equalish(b,a),
inference(resolution,[status(thm)],[f65,f78]) ).
fof(f88,plain,
! [X0] :
( ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(multiplicative_identity,multiply(X0,multiplicative_inverse(X0))) ),
inference(resolution,[status(thm)],[f42,f65]) ).
fof(f90,plain,
! [X0] :
( ~ equalish(multiplicative_identity,X0)
| ~ equalish(X0,multiply(b,multiplicative_inverse(a))) ),
inference(resolution,[status(thm)],[f67,f79]) ).
fof(f91,plain,
! [X0] :
( ~ equalish(a,X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[status(thm)],[f67,f77]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X2,X0) ),
inference(resolution,[status(thm)],[f67,f65]) ).
fof(f96,plain,
( spl0_1
<=> defined(additive_identity) ),
introduced(split_symbol_definition) ).
fof(f98,plain,
( ~ defined(additive_identity)
| spl0_1 ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f107,plain,
( spl0_3
<=> equalish(a,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f110,plain,
( ~ equalish(a,additive_identity)
| ~ defined(additive_identity) ),
inference(resolution,[status(thm)],[f91,f64]) ).
fof(f111,plain,
( ~ spl0_3
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f110,f107,f96]) ).
fof(f130,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f98,f49]) ).
fof(f131,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f130]) ).
fof(f138,plain,
( spl0_8
<=> defined(a) ),
introduced(split_symbol_definition) ).
fof(f140,plain,
( ~ defined(a)
| spl0_8 ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f213,plain,
( spl0_20
<=> defined(b) ),
introduced(split_symbol_definition) ).
fof(f215,plain,
( ~ defined(b)
| spl0_20 ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f281,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f140,f75]) ).
fof(f282,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f281]) ).
fof(f380,plain,
( $false
| spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f215,f76]) ).
fof(f381,plain,
spl0_20,
inference(contradiction_clause,[status(thm)],[f380]) ).
fof(f466,plain,
! [X0] :
( ~ equalish(X0,b)
| equalish(a,X0) ),
inference(resolution,[status(thm)],[f92,f81]) ).
fof(f485,plain,
( spl0_62
<=> equalish(a,b) ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( equalish(a,b)
| ~ defined(b) ),
inference(resolution,[status(thm)],[f466,f64]) ).
fof(f489,plain,
( spl0_62
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f488,f485,f213]) ).
fof(f778,plain,
! [X0,X1,X2] :
( equalish(multiply(X0,multiplicative_inverse(X1)),multiply(X2,multiplicative_inverse(X1)))
| ~ equalish(X0,X2)
| ~ defined(X1)
| equalish(X1,additive_identity) ),
inference(resolution,[status(thm)],[f71,f54]) ).
fof(f790,plain,
! [X0] :
( ~ defined(X0)
| equalish(X0,additive_identity)
| ~ equalish(multiply(X0,multiplicative_inverse(X0)),multiply(b,multiplicative_inverse(a))) ),
inference(resolution,[status(thm)],[f88,f90]) ).
fof(f847,plain,
! [X0] :
( less_or_equal(X0,b)
| less_or_equal(b,X0)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f59,f76]) ).
fof(f879,plain,
( spl0_104
<=> less_or_equal(b,b) ),
introduced(split_symbol_definition) ).
fof(f882,plain,
( less_or_equal(b,b)
| less_or_equal(b,b) ),
inference(resolution,[status(thm)],[f847,f76]) ).
fof(f883,plain,
spl0_104,
inference(split_clause,[status(thm)],[f882,f879]) ).
fof(f919,plain,
( spl0_112
<=> equalish(b,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f920,plain,
( equalish(b,additive_identity)
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f944,plain,
( ~ equalish(a,b)
| ~ spl0_112 ),
inference(resolution,[status(thm)],[f920,f91]) ).
fof(f945,plain,
( $false
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f944,f78]) ).
fof(f946,plain,
~ spl0_112,
inference(contradiction_clause,[status(thm)],[f945]) ).
fof(f1306,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| ~ equalish(a,b)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(resolution,[status(thm)],[f790,f778]) ).
fof(f1307,plain,
( ~ spl0_8
| spl0_3
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1306,f138,f107,f485]) ).
fof(f1309,plain,
$false,
inference(sat_refutation,[status(thm)],[f111,f131,f282,f381,f489,f883,f946,f1307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD037-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:55:31 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.19/0.60 % Refutation found
% 0.19/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.18/0.62 % Elapsed time: 0.276452 seconds
% 1.18/0.62 % CPU time: 1.378444 seconds
% 1.18/0.62 % Memory used: 18.662 MB
%------------------------------------------------------------------------------