TSTP Solution File: FLD058-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD058-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 20:16:32 EDT 2024
% Result : Unsatisfiable 0.10s 0.27s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 62 ( 19 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 112 ( 53 ~; 52 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,X,Z] :
( sum(Y,X,Z)
| ~ sum(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y] :
( sum(additive_identity,X,Y)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Z,Y] :
( less_or_equal(X,Z)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [U,V,X,Y,Z] :
( less_or_equal(U,V)
| ~ less_or_equal(X,Y)
| ~ sum(X,Z,U)
| ~ sum(Y,Z,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,plain,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f39,plain,
! [X0,X1,X2] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f53,plain,
defined(additive_identity),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f63,plain,
! [X0,X1] :
( sum(additive_identity,X0,X1)
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f64,plain,
! [Z,Y] :
( ! [X] :
( less_or_equal(X,Z)
| ~ less_or_equal(X,Y) )
| ~ less_or_equal(Y,Z) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f65,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X0,X2)
| ~ less_or_equal(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f68,plain,
! [V,Y,Z] :
( ! [U,X] :
( less_or_equal(U,V)
| ~ less_or_equal(X,Y)
| ~ sum(X,Z,U) )
| ~ sum(Y,Z,V) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X0)
| ~ sum(X3,X4,X1) ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f73,plain,
defined(b),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f74,plain,
less_or_equal(additive_identity,a),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f75,plain,
less_or_equal(a,b),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f76,plain,
~ sum(additive_identity,a,additive_identity),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f77,plain,
sum(additive_identity,b,additive_identity),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f81,plain,
sum(b,additive_identity,additive_identity),
inference(resolution,[status(thm)],[f39,f77]) ).
fof(f82,plain,
! [X0] :
( less_or_equal(X0,b)
| ~ less_or_equal(X0,a) ),
inference(resolution,[status(thm)],[f65,f75]) ).
fof(f83,plain,
! [X0] :
( less_or_equal(X0,a)
| ~ less_or_equal(X0,additive_identity) ),
inference(resolution,[status(thm)],[f65,f74]) ).
fof(f84,plain,
less_or_equal(additive_identity,b),
inference(resolution,[status(thm)],[f82,f74]) ).
fof(f85,plain,
( spl0_0
<=> sum(additive_identity,b,a) ),
introduced(split_symbol_definition) ).
fof(f86,plain,
( sum(additive_identity,b,a)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( spl0_1
<=> less_or_equal(b,a) ),
introduced(split_symbol_definition) ).
fof(f90,plain,
( ~ less_or_equal(b,a)
| spl0_1 ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,plain,
( sum(additive_identity,b,a)
| ~ less_or_equal(b,a) ),
inference(resolution,[status(thm)],[f63,f75]) ).
fof(f92,plain,
( spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f91,f85,f88]) ).
fof(f93,plain,
( spl0_2
<=> sum(additive_identity,a,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f94,plain,
( sum(additive_identity,a,additive_identity)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( spl0_3
<=> less_or_equal(a,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f99,plain,
( sum(additive_identity,a,additive_identity)
| ~ less_or_equal(a,additive_identity) ),
inference(resolution,[status(thm)],[f63,f74]) ).
fof(f100,plain,
( spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f99,f93,f96]) ).
fof(f101,plain,
! [X0,X1] :
( less_or_equal(X0,additive_identity)
| ~ less_or_equal(X1,additive_identity)
| ~ sum(X1,b,X0) ),
inference(resolution,[status(thm)],[f69,f77]) ).
fof(f106,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(resolution,[status(thm)],[f53,f37]) ).
fof(f124,plain,
sum(additive_identity,b,b),
inference(resolution,[status(thm)],[f73,f37]) ).
fof(f132,plain,
( spl0_5
<=> less_or_equal(b,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f133,plain,
( less_or_equal(b,additive_identity)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f184,plain,
! [X0,X1] :
( less_or_equal(X0,additive_identity)
| ~ less_or_equal(X1,b)
| ~ sum(X1,additive_identity,X0) ),
inference(resolution,[status(thm)],[f81,f69]) ).
fof(f191,plain,
( spl0_6
<=> less_or_equal(additive_identity,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f208,plain,
( spl0_8
<=> less_or_equal(additive_identity,b) ),
introduced(split_symbol_definition) ).
fof(f210,plain,
( ~ less_or_equal(additive_identity,b)
| spl0_8 ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( less_or_equal(additive_identity,additive_identity)
| ~ less_or_equal(additive_identity,b) ),
inference(resolution,[status(thm)],[f106,f184]) ).
fof(f212,plain,
( spl0_6
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f211,f191,f208]) ).
fof(f221,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f210,f84]) ).
fof(f222,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f221]) ).
fof(f261,plain,
( less_or_equal(b,additive_identity)
| ~ less_or_equal(additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[f124,f101]) ).
fof(f262,plain,
( spl0_5
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f261,f132,f191]) ).
fof(f276,plain,
( less_or_equal(b,a)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f133,f83]) ).
fof(f277,plain,
( $false
| spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f276,f90]) ).
fof(f278,plain,
( spl0_1
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f277]) ).
fof(f289,plain,
( less_or_equal(a,additive_identity)
| ~ less_or_equal(additive_identity,additive_identity)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f86,f101]) ).
fof(f290,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f289,f96,f191,f85]) ).
fof(f301,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f94,f76]) ).
fof(f302,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f301]) ).
fof(f303,plain,
$false,
inference(sat_refutation,[status(thm)],[f92,f100,f212,f222,f262,f278,f290,f302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : FLD058-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n031.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Apr 29 23:53:13 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Drodi V3.6.0
% 0.10/0.27 % Refutation found
% 0.10/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.28 % Elapsed time: 0.019353 seconds
% 0.10/0.28 % CPU time: 0.099364 seconds
% 0.10/0.28 % Total memory used: 5.851 MB
% 0.10/0.28 % Net memory used: 5.714 MB
%------------------------------------------------------------------------------