TSTP Solution File: GRP023-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP023-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:09:44 EDT 2023
% Result : Unsatisfiable 0.05s 0.26s
% Output : CNFRefutation 0.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 4 (; 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : multiply(X,identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
inverse(identity) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0] : multiply(X0,identity) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f12,plain,
inverse(identity) != identity,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
inverse(identity) = identity,
inference(paramodulation,[status(thm)],[f10,f8]) ).
fof(f14,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f13,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GRP023-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.06 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.05/0.25 % Computer : n017.cluster.edu
% 0.05/0.25 % Model : x86_64 x86_64
% 0.05/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.25 % Memory : 8042.1875MB
% 0.05/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.05/0.25 % CPULimit : 300
% 0.05/0.25 % WCLimit : 300
% 0.05/0.25 % DateTime : Tue May 30 10:57:25 EDT 2023
% 0.05/0.25 % CPUTime :
% 0.05/0.25 % Drodi V3.5.1
% 0.05/0.26 % Refutation found
% 0.05/0.26 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.05/0.26 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.48 % Elapsed time: 0.013795 seconds
% 0.10/0.48 % CPU time: 0.022417 seconds
% 0.10/0.48 % Memory used: 630.004 KB
%------------------------------------------------------------------------------