TSTP Solution File: GRP028-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP028-3 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:18:50 EDT 2024
% Result : Unsatisfiable 0.06s 0.27s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 26 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y,U,Z,V,W] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W)
| product(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,U,Z,V,W] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(X,V,W)
| product(U,Z,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [X,Y] : product(left_solution(X,Y),X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
! [X,Y] : product(X,right_solution(X,Y),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X] : ~ product(not_identity(X),X,not_identity(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X,V,W] :
( ! [U,Z] :
( ! [Y] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V) )
| ~ product(U,Z,W) )
| product(X,V,W) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f10,plain,
! [U,Z,W] :
( ! [X,V] :
( ! [Y] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V) )
| ~ product(X,V,W) )
| product(U,Z,W) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f12,plain,
! [X0,X1] : product(left_solution(X0,X1),X0,X1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
! [X0,X1] : product(X0,right_solution(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
! [X0] : ~ product(not_identity(X0),X0,not_identity(X0)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X1)
| ~ product(X1,X2,X3)
| product(X0,X3,X3) ),
inference(factoring,[status(esa)],[f9]) ).
fof(f77,plain,
! [X0,X1,X2,X3,X4] :
( ~ product(left_solution(X0,X1),X2,X3)
| ~ product(X2,X4,X0)
| product(X3,X4,X1) ),
inference(resolution,[status(thm)],[f12,f11]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X1)
| product(X0,X2,X2) ),
inference(resolution,[status(thm)],[f13,f15]) ).
fof(f97,plain,
! [X0,X1] : product(left_solution(X0,X0),X1,X1),
inference(resolution,[status(thm)],[f92,f12]) ).
fof(f238,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X0)
| product(X2,X1,X2) ),
inference(resolution,[status(thm)],[f77,f12]) ).
fof(f249,plain,
! [X0,X1] : product(X0,left_solution(X1,X1),X0),
inference(resolution,[status(thm)],[f238,f97]) ).
fof(f252,plain,
$false,
inference(resolution,[status(thm)],[f249,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GRP028-3 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n029.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 Apr 30 00:35:49 EDT 2024
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % Drodi V3.6.0
% 0.06/0.27 % Refutation found
% 0.06/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.28 % Elapsed time: 0.022228 seconds
% 0.06/0.28 % CPU time: 0.066739 seconds
% 0.06/0.28 % Total memory used: 8.200 MB
% 0.06/0.28 % Net memory used: 8.100 MB
%------------------------------------------------------------------------------