TSTP Solution File: FLD055-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD055-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:07:04 EDT 2023
% Result : Unsatisfiable 0.11s 0.27s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 26 ~; 24 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 27 (; 27 !; 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(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(f27,hypothesis,
defined(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,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ less_or_equal(a,c),
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(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(f72,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f75,plain,
less_or_equal(a,b),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f76,plain,
sum(additive_identity,b,c),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f77,plain,
~ less_or_equal(a,c),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f78,plain,
sum(b,additive_identity,c),
inference(resolution,[status(thm)],[f39,f76]) ).
fof(f91,plain,
! [X0,X1] :
( less_or_equal(X0,c)
| ~ less_or_equal(X1,b)
| ~ sum(X1,additive_identity,X0) ),
inference(resolution,[status(thm)],[f69,f78]) ).
fof(f186,plain,
! [X0] :
( ~ defined(X0)
| sum(X0,additive_identity,X0) ),
inference(resolution,[status(thm)],[f37,f39]) ).
fof(f360,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,c)
| ~ less_or_equal(X0,b) ),
inference(resolution,[status(thm)],[f186,f91]) ).
fof(f377,plain,
( spl0_29
<=> defined(a) ),
introduced(split_symbol_definition) ).
fof(f379,plain,
( ~ defined(a)
| spl0_29 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( spl0_30
<=> less_or_equal(a,c) ),
introduced(split_symbol_definition) ).
fof(f381,plain,
( less_or_equal(a,c)
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( ~ defined(a)
| less_or_equal(a,c) ),
inference(resolution,[status(thm)],[f360,f75]) ).
fof(f384,plain,
( ~ spl0_29
| spl0_30 ),
inference(split_clause,[status(thm)],[f383,f377,f380]) ).
fof(f385,plain,
( $false
| spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f379,f72]) ).
fof(f386,plain,
spl0_29,
inference(contradiction_clause,[status(thm)],[f385]) ).
fof(f387,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f77]) ).
fof(f388,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f387]) ).
fof(f389,plain,
$false,
inference(sat_refutation,[status(thm)],[f384,f386,f388]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.06 % Problem : FLD055-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n010.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 10:50:37 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.11/0.27 % Refutation found
% 0.11/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.49 % Elapsed time: 0.014169 seconds
% 0.11/0.49 % CPU time: 0.077298 seconds
% 0.11/0.49 % Memory used: 2.779 MB
%------------------------------------------------------------------------------