TSTP Solution File: GRP491-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP491-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:20:47 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 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 : 6 ( 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 : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))) = C,
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(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)))) = X2,
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(f14,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(X1,X0),double_divide(X2,X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f7,f6]) ).
fof(f255,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f269,plain,
! [X0,X1] : double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X0,identity),double_divide(X1,X0)))) = X1,
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f273,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(identity,X0),inverse(X1)))) = X1,
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f293,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(inverse(X1),X0),identity))) = X1,
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f294,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,inverse(multiply(inverse(X1),X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f293]) ).
fof(f306,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f255]) ).
fof(f307,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f255]) ).
fof(f324,plain,
! [X0] : multiply(multiply(identity,X0),inverse(X0)) = inverse(identity),
inference(paramodulation,[status(thm)],[f307,f306]) ).
fof(f325,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f307,f9]) ).
fof(f548,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f9,f273]) ).
fof(f549,plain,
! [X0] : double_divide(double_divide(identity,X0),inverse(identity)) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f548]) ).
fof(f657,plain,
double_divide(identity,inverse(identity)) = multiply(identity,inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f549]) ).
fof(f658,plain,
identity = multiply(identity,inverse(identity)),
inference(forward_demodulation,[status(thm)],[f9,f657]) ).
fof(f659,plain,
double_divide(inverse(identity),inverse(identity)) = multiply(identity,identity),
inference(paramodulation,[status(thm)],[f8,f549]) ).
fof(f681,plain,
multiply(identity,inverse(inverse(identity))) = inverse(identity),
inference(paramodulation,[status(thm)],[f658,f324]) ).
fof(f682,plain,
multiply(identity,multiply(identity,identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f307,f681]) ).
fof(f777,plain,
double_divide(inverse(identity),double_divide(identity,double_divide(multiply(inverse(identity),identity),multiply(identity,identity)))) = inverse(identity),
inference(paramodulation,[status(thm)],[f659,f269]) ).
fof(f778,plain,
double_divide(inverse(identity),double_divide(identity,double_divide(inverse(identity),multiply(identity,identity)))) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f306,f777]) ).
fof(f779,plain,
double_divide(inverse(identity),double_divide(identity,identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f325,f778]) ).
fof(f780,plain,
double_divide(inverse(identity),inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f8,f779]) ).
fof(f781,plain,
multiply(identity,identity) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f659,f780]) ).
fof(f796,plain,
multiply(identity,inverse(identity)) = inverse(identity),
inference(backward_demodulation,[status(thm)],[f781,f682]) ).
fof(f797,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f658,f796]) ).
fof(f852,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,inverse(inverse(identity)))) = X0,
inference(paramodulation,[status(thm)],[f306,f294]) ).
fof(f853,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,multiply(identity,identity))) = X0,
inference(forward_demodulation,[status(thm)],[f307,f852]) ).
fof(f854,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,inverse(identity))) = X0,
inference(forward_demodulation,[status(thm)],[f781,f853]) ).
fof(f855,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(forward_demodulation,[status(thm)],[f9,f854]) ).
fof(f856,plain,
! [X0] : inverse(double_divide(identity,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f855]) ).
fof(f857,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f255,f856]) ).
fof(f875,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = multiply(identity,X0),
inference(backward_demodulation,[status(thm)],[f797,f549]) ).
fof(f876,plain,
! [X0] : inverse(double_divide(identity,X0)) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f875]) ).
fof(f877,plain,
! [X0] : multiply(X0,identity) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f255,f876]) ).
fof(f978,plain,
! [X0] : X0 = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f857,f877]) ).
fof(f983,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f978,f10]) ).
fof(f984,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f983]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP491-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n013.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 Apr 30 00:16:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.039538 seconds
% 0.13/0.39 % CPU time: 0.220947 seconds
% 0.13/0.39 % Total memory used: 14.446 MB
% 0.13/0.39 % Net memory used: 14.232 MB
%------------------------------------------------------------------------------