TSTP Solution File: FLD071-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD071-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:07:10 EDT 2023
% Result : Unsatisfiable 4.67s 0.98s
% Output : CNFRefutation 4.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 84 ( 17 unt; 0 def)
% Number of atoms : 204 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 223 ( 103 ~; 112 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 78 (; 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( equalish(X,Y)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Z,Y] :
( less_or_equal(X,Z)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,Z) ),
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(f20,axiom,
! [Y,Z] :
( less_or_equal(additive_identity,multiply(Y,Z))
| ~ less_or_equal(additive_identity,Y)
| ~ less_or_equal(additive_identity,Z) ),
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(f26,axiom,
! [Y,Z,X] :
( less_or_equal(Y,Z)
| ~ less_or_equal(X,Z)
| ~ equalish(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
equalish(multiply(a,b),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,plain,
defined(additive_identity),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f57,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f58,plain,
! [Z,Y] :
( ! [X] :
( less_or_equal(X,Z)
| ~ less_or_equal(X,Y) )
| ~ less_or_equal(Y,Z) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f59,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X0,X2)
| ~ less_or_equal(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f58]) ).
fof(f60,plain,
! [Y] :
( ! [X] :
( less_or_equal(X,Y)
| less_or_equal(Y,X)
| ~ defined(X) )
| ~ defined(Y) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f61,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| less_or_equal(X1,X0)
| ~ defined(X0)
| ~ defined(X1) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f64,plain,
! [Z] :
( ! [Y] :
( less_or_equal(additive_identity,multiply(Y,Z))
| ~ less_or_equal(additive_identity,Y) )
| ~ less_or_equal(additive_identity,Z) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f65,plain,
! [X0,X1] :
( less_or_equal(additive_identity,multiply(X0,X1))
| ~ less_or_equal(additive_identity,X0)
| ~ less_or_equal(additive_identity,X1) ),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f66,plain,
! [X0] :
( equalish(X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f67,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f68,plain,
! [Z,Y] :
( ! [X] :
( equalish(X,Z)
| ~ equalish(X,Y) )
| ~ equalish(Y,Z) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f69,plain,
! [X0,X1,X2] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f74,plain,
! [Y,X] :
( ! [Z] :
( less_or_equal(Y,Z)
| ~ less_or_equal(X,Z) )
| ~ equalish(X,Y) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f75,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X2,X1)
| ~ equalish(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f79,plain,
defined(u),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f80,plain,
less_or_equal(additive_identity,a),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f81,plain,
less_or_equal(additive_identity,b),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f82,plain,
equalish(multiply(a,b),u),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f83,plain,
~ less_or_equal(additive_identity,u),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f85,plain,
equalish(u,multiply(a,b)),
inference(resolution,[status(thm)],[f67,f82]) ).
fof(f106,plain,
! [X0] :
( equalish(X0,multiply(a,b))
| ~ equalish(X0,u) ),
inference(resolution,[status(thm)],[f69,f85]) ).
fof(f109,plain,
! [X0,X1] :
( ~ equalish(X0,u)
| equalish(X1,multiply(a,b))
| ~ equalish(X1,X0) ),
inference(resolution,[status(thm)],[f106,f69]) ).
fof(f132,plain,
! [X0,X1] :
( ~ equalish(X0,u)
| ~ equalish(X1,X0)
| equalish(multiply(a,b),X1) ),
inference(resolution,[status(thm)],[f109,f67]) ).
fof(f152,plain,
( spl0_10
<=> defined(u) ),
introduced(split_symbol_definition) ).
fof(f154,plain,
( ~ defined(u)
| spl0_10 ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ~ equalish(X0,u)
| ~ equalish(X1,X0)
| equalish(X2,X1)
| ~ equalish(X2,multiply(a,b)) ),
inference(resolution,[status(thm)],[f132,f69]) ).
fof(f296,plain,
! [X0,X1] :
( ~ equalish(X0,u)
| ~ equalish(X1,X0)
| equalish(u,X1) ),
inference(resolution,[status(thm)],[f182,f85]) ).
fof(f307,plain,
! [X0] :
( ~ equalish(X0,multiply(a,b))
| equalish(u,X0) ),
inference(resolution,[status(thm)],[f296,f82]) ).
fof(f415,plain,
! [X0] :
( less_or_equal(X0,b)
| ~ equalish(additive_identity,X0) ),
inference(resolution,[status(thm)],[f75,f81]) ).
fof(f416,plain,
! [X0] :
( less_or_equal(X0,a)
| ~ equalish(additive_identity,X0) ),
inference(resolution,[status(thm)],[f75,f80]) ).
fof(f417,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f79,f154]) ).
fof(f418,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f417]) ).
fof(f442,plain,
( spl0_42
<=> less_or_equal(additive_identity,b) ),
introduced(split_symbol_definition) ).
fof(f445,plain,
( spl0_43
<=> defined(additive_identity) ),
introduced(split_symbol_definition) ).
fof(f447,plain,
( ~ defined(additive_identity)
| spl0_43 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( less_or_equal(additive_identity,b)
| ~ defined(additive_identity) ),
inference(resolution,[status(thm)],[f415,f66]) ).
fof(f449,plain,
( spl0_42
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f448,f442,f445]) ).
fof(f450,plain,
( $false
| spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f447,f51]) ).
fof(f451,plain,
spl0_43,
inference(contradiction_clause,[status(thm)],[f450]) ).
fof(f463,plain,
( spl0_45
<=> less_or_equal(additive_identity,a) ),
introduced(split_symbol_definition) ).
fof(f466,plain,
( less_or_equal(additive_identity,a)
| ~ defined(additive_identity) ),
inference(resolution,[status(thm)],[f416,f66]) ).
fof(f467,plain,
( spl0_45
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f466,f463,f445]) ).
fof(f547,plain,
( spl0_59
<=> less_or_equal(u,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f548,plain,
( less_or_equal(u,additive_identity)
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,plain,
( less_or_equal(u,additive_identity)
| ~ defined(u)
| ~ defined(additive_identity) ),
inference(resolution,[status(thm)],[f61,f83]) ).
fof(f551,plain,
( spl0_59
| ~ spl0_10
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f550,f547,f152,f445]) ).
fof(f563,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X2,X0)
| ~ less_or_equal(X2,X1) ),
inference(resolution,[status(thm)],[f61,f59]) ).
fof(f566,plain,
! [X0] :
( less_or_equal(X0,additive_identity)
| ~ equalish(u,X0)
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f548,f75]) ).
fof(f568,plain,
( spl0_62
<=> less_or_equal(additive_identity,u) ),
introduced(split_symbol_definition) ).
fof(f569,plain,
( less_or_equal(additive_identity,u)
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f660,plain,
( less_or_equal(multiply(a,b),additive_identity)
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f566,f85]) ).
fof(f879,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X2,X0)
| less_or_equal(X1,X2)
| ~ defined(X1)
| ~ defined(X2) ),
inference(resolution,[status(thm)],[f563,f61]) ).
fof(f880,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X2,X0)
| less_or_equal(X1,X2)
| ~ defined(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f879]) ).
fof(f1383,plain,
( spl0_138
<=> equalish(additive_identity,multiply(a,b)) ),
introduced(split_symbol_definition) ).
fof(f1384,plain,
( equalish(additive_identity,multiply(a,b))
| ~ spl0_138 ),
inference(component_clause,[status(thm)],[f1383]) ).
fof(f1386,plain,
( spl0_139
<=> less_or_equal(additive_identity,multiply(a,b)) ),
introduced(split_symbol_definition) ).
fof(f1388,plain,
( ~ less_or_equal(additive_identity,multiply(a,b))
| spl0_139 ),
inference(component_clause,[status(thm)],[f1386]) ).
fof(f1389,plain,
( equalish(additive_identity,multiply(a,b))
| ~ less_or_equal(additive_identity,multiply(a,b))
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f660,f57]) ).
fof(f1390,plain,
( spl0_138
| ~ spl0_139
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1389,f1383,f1386,f547]) ).
fof(f1685,plain,
( ~ less_or_equal(additive_identity,a)
| ~ less_or_equal(additive_identity,b)
| spl0_139 ),
inference(resolution,[status(thm)],[f1388,f65]) ).
fof(f1686,plain,
( ~ spl0_45
| ~ spl0_42
| spl0_139 ),
inference(split_clause,[status(thm)],[f1685,f463,f442,f1386]) ).
fof(f2159,plain,
( equalish(u,additive_identity)
| ~ spl0_138 ),
inference(resolution,[status(thm)],[f1384,f307]) ).
fof(f4026,plain,
! [X0,X1] :
( less_or_equal(X0,X0)
| ~ defined(X0)
| ~ defined(X0)
| ~ defined(X0)
| less_or_equal(X1,X0)
| ~ equalish(X0,X1) ),
inference(resolution,[status(thm)],[f880,f75]) ).
fof(f4027,plain,
! [X0,X1] :
( less_or_equal(X0,X0)
| ~ defined(X0)
| less_or_equal(X1,X0)
| ~ equalish(X0,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f4026]) ).
fof(f4028,plain,
! [X0,X1] :
( ~ defined(X0)
| less_or_equal(X1,X0)
| ~ equalish(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f4027,f75]) ).
fof(f4708,plain,
( ~ defined(u)
| less_or_equal(additive_identity,u)
| ~ spl0_138 ),
inference(resolution,[status(thm)],[f4028,f2159]) ).
fof(f4709,plain,
( ~ spl0_10
| spl0_62
| ~ spl0_138 ),
inference(split_clause,[status(thm)],[f4708,f152,f568,f1383]) ).
fof(f4771,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f83]) ).
fof(f4772,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f4771]) ).
fof(f4773,plain,
$false,
inference(sat_refutation,[status(thm)],[f418,f449,f451,f467,f551,f1390,f1686,f4709,f4772]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD071-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:32:30 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 4.67/0.98 % Refutation found
% 4.67/0.98 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.67/0.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.67/1.00 % Elapsed time: 0.652464 seconds
% 4.67/1.00 % CPU time: 5.101396 seconds
% 4.67/1.00 % Memory used: 41.011 MB
%------------------------------------------------------------------------------