TSTP Solution File: GRP029-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:09:46 EDT 2023
% Result : Unsatisfiable 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% 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 : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 58 (; 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,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(f13,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(f14,axiom,
! [A] : product(identity,A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A] : product(inverse(A),A,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [A] : ~ product(not_right_identity(A),A,not_right_identity(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,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)],[f12]) ).
fof(f36,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)],[f35]) ).
fof(f37,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)],[f13]) ).
fof(f38,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)],[f37]) ).
fof(f39,plain,
! [X0] : product(identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f40,plain,
! [X0] : product(inverse(X0),X0,identity),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f41,plain,
! [X0] : ~ product(not_right_identity(X0),X0,not_right_identity(X0)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,identity,X1)
| ~ product(X0,X2,X3)
| product(X1,X2,X3) ),
inference(resolution,[status(thm)],[f39,f38]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,identity)
| ~ product(X1,X2,X3)
| product(X0,X3,X2) ),
inference(resolution,[status(thm)],[f39,f36]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| product(inverse(X0),X2,X1) ),
inference(resolution,[status(thm)],[f40,f51]) ).
fof(f122,plain,
! [X0] : product(inverse(inverse(X0)),identity,X0),
inference(resolution,[status(thm)],[f72,f40]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ~ product(inverse(inverse(X0)),X1,X2)
| product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f122,f48]) ).
fof(f157,plain,
! [X0] : product(X0,identity,X0),
inference(resolution,[status(thm)],[f143,f122]) ).
fof(f160,plain,
$false,
inference(resolution,[status(thm)],[f157,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 11:33:16 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.15/0.30 % Drodi V3.5.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.43 % Elapsed time: 0.133143 seconds
% 0.15/0.43 % CPU time: 0.289758 seconds
% 0.15/0.43 % Memory used: 22.066 MB
%------------------------------------------------------------------------------