TSTP Solution File: GRP487-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP487-1 : 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 : Tue Apr 30 20:20:46 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(inverse(a1),a1) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity)) = 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(inverse(a1),a1) != identity,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f8,f7]) ).
fof(f12,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f13,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f15,plain,
inverse(identity) != identity,
inference(backward_demodulation,[status(thm)],[f12,f10]) ).
fof(f16,plain,
! [X0,X1] : inverse(identity) = multiply(multiply(X0,X1),double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f12]) ).
fof(f18,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f13]) ).
fof(f75,plain,
! [X0,X1,X2] : double_divide(X0,inverse(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f76,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))))) = X2,
inference(forward_demodulation,[status(thm)],[f11,f75]) ).
fof(f77,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2))))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f76]) ).
fof(f85,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,multiply(X0,double_divide(identity,double_divide(inverse(X1),identity)))),
inference(paramodulation,[status(thm)],[f9,f77]) ).
fof(f95,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,multiply(X0,double_divide(identity,inverse(inverse(X1))))),
inference(forward_demodulation,[status(thm)],[f8,f85]) ).
fof(f96,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,multiply(X0,double_divide(identity,multiply(identity,X1)))),
inference(forward_demodulation,[status(thm)],[f13,f95]) ).
fof(f125,plain,
! [X0] : inverse(identity) = double_divide(X0,inverse(multiply(multiply(identity,X0),identity))),
inference(paramodulation,[status(thm)],[f18,f96]) ).
fof(f126,plain,
! [X0] : inverse(multiply(multiply(identity,X0),identity)) = double_divide(X0,inverse(identity)),
inference(paramodulation,[status(thm)],[f16,f96]) ).
fof(f146,plain,
! [X0] : inverse(identity) = double_divide(X0,double_divide(X0,inverse(identity))),
inference(backward_demodulation,[status(thm)],[f126,f125]) ).
fof(f160,plain,
! [X0] : inverse(identity) = double_divide(X0,multiply(inverse(X0),double_divide(identity,inverse(identity)))),
inference(paramodulation,[status(thm)],[f146,f77]) ).
fof(f166,plain,
! [X0] : inverse(identity) = double_divide(X0,multiply(inverse(X0),identity)),
inference(forward_demodulation,[status(thm)],[f9,f160]) ).
fof(f216,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(paramodulation,[status(thm)],[f12,f166]) ).
fof(f227,plain,
inverse(identity) = identity,
inference(forward_demodulation,[status(thm)],[f9,f216]) ).
fof(f228,plain,
$false,
inference(resolution,[status(thm)],[f227,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP487-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.14 % 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 Apr 30 00:44:43 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.018469 seconds
% 0.13/0.37 % CPU time: 0.043806 seconds
% 0.13/0.37 % Total memory used: 3.489 MB
% 0.13/0.37 % Net memory used: 3.473 MB
%------------------------------------------------------------------------------