TSTP Solution File: GRP494-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP494-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:11:51 EDT 2023
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 45 (; 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),double_divide(identity,identity)),double_divide(X0,X2))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = double_divide(X0,identity),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = double_divide(X0,inverse(X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(identity,a2) != a2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),inverse(identity)),double_divide(X0,X2))) = X1,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f12,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f14,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f12]) ).
fof(f17,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(X0,X1),inverse(identity)),double_divide(inverse(identity),X1))) = X0,
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f20,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(identity,inverse(identity)),double_divide(X0,inverse(X1)))) = X1,
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f21,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,inverse(X1)))) = X1,
inference(forward_demodulation,[status(thm)],[f9,f20]) ).
fof(f78,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = X0,
inference(paramodulation,[status(thm)],[f9,f21]) ).
fof(f79,plain,
! [X0] : double_divide(double_divide(identity,X0),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f78]) ).
fof(f99,plain,
! [X0] : double_divide(identity,double_divide(double_divide(inverse(X0),inverse(identity)),double_divide(inverse(identity),identity))) = X0,
inference(paramodulation,[status(thm)],[f8,f17]) ).
fof(f100,plain,
! [X0] : double_divide(identity,double_divide(double_divide(inverse(X0),inverse(identity)),inverse(inverse(identity)))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f99]) ).
fof(f101,plain,
! [X0] : double_divide(identity,double_divide(double_divide(inverse(X0),inverse(identity)),multiply(identity,identity))) = X0,
inference(forward_demodulation,[status(thm)],[f14,f100]) ).
fof(f147,plain,
! [X0,X1] : double_divide(X0,inverse(identity)) = double_divide(double_divide(double_divide(X0,X1),inverse(identity)),double_divide(inverse(identity),X1)),
inference(paramodulation,[status(thm)],[f17,f79]) ).
fof(f148,plain,
double_divide(identity,inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f79]) ).
fof(f149,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f9,f148]) ).
fof(f188,plain,
! [X0] : double_divide(identity,double_divide(X0,inverse(identity))) = X0,
inference(backward_demodulation,[status(thm)],[f147,f17]) ).
fof(f189,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[status(thm)],[f149,f188]) ).
fof(f190,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f189]) ).
fof(f210,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(backward_demodulation,[status(thm)],[f149,f79]) ).
fof(f211,plain,
! [X0] : inverse(double_divide(identity,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f210]) ).
fof(f212,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f12,f211]) ).
fof(f233,plain,
! [X0] : double_divide(identity,double_divide(double_divide(inverse(X0),identity),multiply(identity,identity))) = X0,
inference(backward_demodulation,[status(thm)],[f149,f101]) ).
fof(f234,plain,
! [X0] : double_divide(identity,double_divide(inverse(inverse(X0)),multiply(identity,identity))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f233]) ).
fof(f235,plain,
! [X0] : double_divide(identity,double_divide(multiply(identity,X0),multiply(identity,identity))) = X0,
inference(forward_demodulation,[status(thm)],[f14,f234]) ).
fof(f236,plain,
! [X0] : double_divide(identity,double_divide(multiply(identity,X0),identity)) = X0,
inference(forward_demodulation,[status(thm)],[f212,f235]) ).
fof(f237,plain,
! [X0] : double_divide(identity,inverse(multiply(identity,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f236]) ).
fof(f238,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f190,f237]) ).
fof(f291,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f238,f10]) ).
fof(f292,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP494-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 11:33:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.032175 seconds
% 0.13/0.38 % CPU time: 0.157169 seconds
% 0.13/0.38 % Memory used: 4.435 MB
%------------------------------------------------------------------------------