TSTP Solution File: FLD025-5 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD025-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:06:55 EDT 2023
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 19 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 52 (; 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X,V,W,Y,U,Z] :
( product(X,V,W)
| ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [U,Z,W,X,Y,V] :
( product(U,Z,W)
| ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Y,X,Z] :
( product(Y,X,Z)
| ~ product(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,hypothesis,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
product(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
product(d,b,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ product(multiplicative_identity,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,plain,
! [W,U,Z] :
( ! [V,Y] :
( ! [X] :
( product(X,V,W)
| ~ product(X,Y,U) )
| ~ product(Y,Z,V) )
| ~ product(U,Z,W) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4,X5] :
( product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| ~ product(X4,X5,X2) ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f47,plain,
! [W,X,V] :
( ! [Z,Y] :
( ! [U] :
( product(U,Z,W)
| ~ product(X,Y,U) )
| ~ product(Y,Z,V) )
| ~ product(X,V,W) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f48,plain,
! [X0,X1,X2,X3,X4,X5] :
( product(X0,X1,X2)
| ~ product(X3,X4,X0)
| ~ product(X4,X1,X5)
| ~ product(X3,X5,X2) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f49,plain,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f51,plain,
! [X0,X1,X2] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f81,plain,
defined(u),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f83,plain,
product(multiplicative_identity,a,b),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f84,plain,
product(multiplicative_identity,c,d),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f85,plain,
product(a,c,u),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f86,plain,
product(d,b,v),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f87,plain,
~ product(multiplicative_identity,u,v),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f91,plain,
! [X0,X1,X2] :
( product(multiplicative_identity,X0,X1)
| ~ product(a,X2,X0)
| ~ product(b,X2,X1) ),
inference(resolution,[status(thm)],[f46,f83]) ).
fof(f93,plain,
product(multiplicative_identity,u,u),
inference(resolution,[status(thm)],[f49,f81]) ).
fof(f105,plain,
! [X0,X1,X2] :
( product(d,X0,X1)
| ~ product(c,X0,X2)
| ~ product(multiplicative_identity,X2,X1) ),
inference(resolution,[status(thm)],[f48,f84]) ).
fof(f107,plain,
product(b,d,v),
inference(resolution,[status(thm)],[f51,f86]) ).
fof(f108,plain,
product(c,a,u),
inference(resolution,[status(thm)],[f51,f85]) ).
fof(f192,plain,
! [X0] :
( product(d,a,X0)
| ~ product(multiplicative_identity,u,X0) ),
inference(resolution,[status(thm)],[f105,f108]) ).
fof(f193,plain,
product(d,a,u),
inference(resolution,[status(thm)],[f192,f93]) ).
fof(f199,plain,
product(a,d,u),
inference(resolution,[status(thm)],[f193,f51]) ).
fof(f204,plain,
! [X0] :
( product(multiplicative_identity,u,X0)
| ~ product(b,d,X0) ),
inference(resolution,[status(thm)],[f199,f91]) ).
fof(f233,plain,
product(multiplicative_identity,u,v),
inference(resolution,[status(thm)],[f204,f107]) ).
fof(f234,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f233,f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : FLD025-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n016.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 11:28:14 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.60 % Elapsed time: 0.053878 seconds
% 0.24/0.60 % CPU time: 0.081548 seconds
% 0.24/0.60 % Memory used: 2.750 MB
%------------------------------------------------------------------------------