TSTP Solution File: GRP001-4 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP001-4 : TPTP v8.1.2. Released v1.0.0.
% 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 : Wed May 31 12:09:38 EDT 2023
% Result : Unsatisfiable 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 17 (; 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
! [X] : multiply(X,X) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : multiply(X0,X0) = identity,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
multiply(a,b) = c,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(b,a) != c,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
! [X0] : multiply(c,X0) = multiply(a,multiply(b,X0)),
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f22,plain,
! [X0,X1] : multiply(identity,X0) = multiply(X1,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f8,f6]) ).
fof(f23,plain,
! [X0,X1] : X0 = multiply(X1,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f7,f22]) ).
fof(f30,plain,
! [X0] : multiply(b,X0) = multiply(a,multiply(c,X0)),
inference(paramodulation,[status(thm)],[f14,f23]) ).
fof(f32,plain,
! [X0] : X0 = multiply(X0,identity),
inference(paramodulation,[status(thm)],[f8,f23]) ).
fof(f50,plain,
multiply(b,c) = multiply(a,identity),
inference(paramodulation,[status(thm)],[f8,f30]) ).
fof(f51,plain,
multiply(b,c) = a,
inference(forward_demodulation,[status(thm)],[f32,f50]) ).
fof(f58,plain,
c = multiply(b,a),
inference(paramodulation,[status(thm)],[f51,f23]) ).
fof(f59,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f58,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP001-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:46:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.58 % Refutation found
% 0.19/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.58 % Elapsed time: 0.015663 seconds
% 0.19/0.58 % CPU time: 0.020291 seconds
% 0.19/0.58 % Memory used: 221.862 KB
%------------------------------------------------------------------------------