TSTP Solution File: GRP028-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP028-2 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 0.16s 0.32s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 14 unt; 0 def)
% Number of atoms : 42 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z,W] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| Z = W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
! [X,Y] : product(left_solution(X,Y),X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [X,Y] : product(X,right_solution(X,Y),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X] : ~ product(not_identity(X),X,not_identity(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
! [Z,W] :
( ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) )
| Z = W ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f13,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)],[f4]) ).
fof(f14,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)],[f13]) ).
fof(f15,plain,
! [X0,X1] : product(left_solution(X0,X1),X0,X1),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1] : product(X0,right_solution(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f17,plain,
! [X0] : ~ product(not_identity(X0),X0,not_identity(X0)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4] :
( ~ product(X0,X1,X2)
| ~ product(X3,X2,X4)
| product(multiply(X3,X0),X1,X4) ),
inference(resolution,[status(thm)],[f8,f14]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[status(thm)],[f8,f10]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,multiply(X1,X2),X3)
| product(multiply(X0,X1),X2,X3) ),
inference(resolution,[status(thm)],[f18,f8]) ).
fof(f84,plain,
! [X0,X1,X2] : product(multiply(left_solution(multiply(X0,X1),X2),X0),X1,X2),
inference(resolution,[status(thm)],[f15,f21]) ).
fof(f87,plain,
! [X0,X1] : multiply(left_solution(X0,X1),X0) = X1,
inference(resolution,[status(thm)],[f15,f20]) ).
fof(f96,plain,
! [X0,X1] : multiply(X0,right_solution(X0,X1)) = X1,
inference(resolution,[status(thm)],[f16,f20]) ).
fof(f148,plain,
! [X0,X1,X2] : product(multiply(left_solution(X0,X1),X2),right_solution(X2,X0),X1),
inference(paramodulation,[status(thm)],[f96,f84]) ).
fof(f398,plain,
! [X0,X1] : product(X0,right_solution(X1,X1),X0),
inference(paramodulation,[status(thm)],[f87,f148]) ).
fof(f402,plain,
$false,
inference(resolution,[status(thm)],[f398,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP028-2 : TPTP v8.1.2. Released v1.1.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n028.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 00:41:59 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % Drodi V3.6.0
% 0.16/0.32 % Refutation found
% 0.16/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.33 % Elapsed time: 0.017611 seconds
% 0.16/0.33 % CPU time: 0.060659 seconds
% 0.16/0.33 % Total memory used: 5.148 MB
% 0.16/0.33 % Net memory used: 5.078 MB
%------------------------------------------------------------------------------