TSTP Solution File: GRP488-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP488-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : Tue Apr 30 20:20:46 EDT 2024
% Result : Unsatisfiable 0.21s 0.43s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 5
% Syntax : Number of formulae : 71 ( 71 unt; 0 def)
% Number of atoms : 71 ( 70 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 104 ( 104 !; 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(identity,a2) != a2,
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(identity,a2) != a2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))))) = X2,
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f12,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,f11]) ).
fof(f13,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f14,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f13]) ).
fof(f15,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f13]) ).
fof(f17,plain,
! [X0,X1] : multiply(multiply(X0,X1),double_divide(X1,X0)) = inverse(identity),
inference(paramodulation,[status(thm)],[f13,f14]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),X2)))) = multiply(X3,double_divide(identity,double_divide(inverse(X1),double_divide(X3,X2)))),
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f20,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),identity)))) = inverse(X1),
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f21,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,inverse(inverse(X0))))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f8,f20]) ).
fof(f22,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,multiply(identity,X0)))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f15,f21]) ).
fof(f24,plain,
! [X0,X1,X2] : multiply(multiply(X0,double_divide(identity,double_divide(inverse(X1),double_divide(X0,X2)))),X1) = inverse(X2),
inference(paramodulation,[status(thm)],[f12,f13]) ).
fof(f26,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f15]) ).
fof(f113,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity))) = X1,
inference(paramodulation,[status(thm)],[f26,f12]) ).
fof(f178,plain,
! [X0,X1,X2] : multiply(X0,double_divide(identity,double_divide(inverse(X1),double_divide(X0,X2)))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(inverse(identity),X2)))),
inference(equality_split,[status(esa)],[f19]) ).
fof(f180,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity)) = double_divide(identity,multiply(X0,double_divide(identity,double_divide(inverse(identity),X1)))),
inference(paramodulation,[status(thm)],[f26,f178]) ).
fof(f204,plain,
! [X0,X1] : multiply(X0,double_divide(identity,double_divide(inverse(X1),identity))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(inverse(identity),inverse(X0))))),
inference(paramodulation,[status(thm)],[f9,f178]) ).
fof(f205,plain,
! [X0,X1] : multiply(X0,double_divide(identity,inverse(inverse(X1)))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(inverse(identity),inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f8,f204]) ).
fof(f206,plain,
! [X0,X1] : multiply(X0,double_divide(identity,multiply(identity,X1))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(inverse(identity),inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f15,f205]) ).
fof(f207,plain,
! [X0,X1] : multiply(X0,double_divide(identity,multiply(identity,X1))) = inverse(multiply(double_divide(inverse(X1),double_divide(identity,inverse(X0))),identity)),
inference(forward_demodulation,[status(thm)],[f180,f206]) ).
fof(f277,plain,
! [X0] : double_divide(X0,inverse(multiply(multiply(identity,X0),identity))) = inverse(identity),
inference(paramodulation,[status(thm)],[f26,f22]) ).
fof(f278,plain,
! [X0] : double_divide(X0,inverse(identity)) = inverse(multiply(multiply(identity,X0),identity)),
inference(paramodulation,[status(thm)],[f17,f22]) ).
fof(f282,plain,
! [X0] : double_divide(double_divide(identity,multiply(identity,identity)),multiply(X0,inverse(identity))) = inverse(X0),
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f288,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),inverse(X2))))) = multiply(X2,double_divide(identity,multiply(identity,X1))),
inference(paramodulation,[status(thm)],[f22,f12]) ).
fof(f291,plain,
! [X0] : double_divide(X0,double_divide(X0,inverse(identity))) = inverse(identity),
inference(backward_demodulation,[status(thm)],[f278,f277]) ).
fof(f296,plain,
! [X0] : double_divide(X0,multiply(inverse(X0),double_divide(identity,inverse(identity)))) = inverse(identity),
inference(paramodulation,[status(thm)],[f291,f12]) ).
fof(f297,plain,
! [X0] : double_divide(X0,multiply(inverse(X0),identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f9,f296]) ).
fof(f309,plain,
double_divide(identity,inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f14,f297]) ).
fof(f310,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f9,f309]) ).
fof(f324,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),inverse(identity))))) = multiply(inverse(X1),identity),
inference(paramodulation,[status(thm)],[f297,f12]) ).
fof(f325,plain,
! [X0] : multiply(identity,double_divide(identity,multiply(identity,X0))) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f288,f324]) ).
fof(f326,plain,
! [X0] : inverse(multiply(multiply(identity,X0),identity)) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f26,f325]) ).
fof(f327,plain,
! [X0] : double_divide(X0,inverse(identity)) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f278,f326]) ).
fof(f328,plain,
! [X0] : double_divide(X0,identity) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f310,f327]) ).
fof(f329,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f8,f328]) ).
fof(f330,plain,
! [X0] : multiply(multiply(inverse(X0),identity),X0) = inverse(inverse(identity)),
inference(paramodulation,[status(thm)],[f297,f13]) ).
fof(f331,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(inverse(identity)),
inference(forward_demodulation,[status(thm)],[f329,f330]) ).
fof(f332,plain,
inverse(identity) = inverse(inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f331]) ).
fof(f333,plain,
identity = inverse(inverse(identity)),
inference(forward_demodulation,[status(thm)],[f310,f332]) ).
fof(f334,plain,
identity = multiply(identity,identity),
inference(forward_demodulation,[status(thm)],[f15,f333]) ).
fof(f356,plain,
! [X0] : double_divide(double_divide(identity,multiply(identity,identity)),multiply(X0,identity)) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f310,f282]) ).
fof(f357,plain,
! [X0] : double_divide(double_divide(identity,identity),multiply(X0,identity)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f334,f356]) ).
fof(f358,plain,
! [X0] : double_divide(inverse(identity),multiply(X0,identity)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f8,f357]) ).
fof(f359,plain,
! [X0] : double_divide(identity,multiply(X0,identity)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f310,f358]) ).
fof(f373,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity)) = double_divide(identity,multiply(X0,double_divide(identity,double_divide(identity,X1)))),
inference(backward_demodulation,[status(thm)],[f310,f180]) ).
fof(f388,plain,
! [X0,X1] : multiply(X0,double_divide(identity,multiply(identity,X1))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(identity,inverse(X0))))),
inference(backward_demodulation,[status(thm)],[f373,f207]) ).
fof(f391,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,multiply(X0,double_divide(identity,double_divide(identity,X1))))) = X1,
inference(backward_demodulation,[status(thm)],[f373,f113]) ).
fof(f399,plain,
! [X0,X1] : double_divide(identity,multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1))))) = X1,
inference(paramodulation,[status(thm)],[f310,f12]) ).
fof(f404,plain,
! [X0,X1] : multiply(multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1)))),identity) = inverse(X1),
inference(paramodulation,[status(thm)],[f310,f24]) ).
fof(f458,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = multiply(multiply(X1,X0),identity),
inference(paramodulation,[status(thm)],[f13,f329]) ).
fof(f459,plain,
! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,X1),identity),
inference(forward_demodulation,[status(thm)],[f13,f458]) ).
fof(f464,plain,
! [X0,X1] : multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1)))) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f459,f404]) ).
fof(f468,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f464,f399]) ).
fof(f471,plain,
! [X0,X1] : multiply(X0,double_divide(identity,multiply(identity,X1))) = double_divide(identity,multiply(X1,double_divide(identity,X0))),
inference(backward_demodulation,[status(thm)],[f468,f388]) ).
fof(f472,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,multiply(X0,double_divide(identity,X1)))) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f471,f22]) ).
fof(f487,plain,
! [X0] : inverse(double_divide(identity,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f472,f391]) ).
fof(f488,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f13,f487]) ).
fof(f514,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f488,f359]) ).
fof(f529,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f514,f468]) ).
fof(f530,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f15,f529]) ).
fof(f598,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f530,f10]) ).
fof(f599,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f598]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP488-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:49:33 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.36 % Drodi V3.6.0
% 0.21/0.43 % Refutation found
% 0.21/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.45 % Elapsed time: 0.088822 seconds
% 0.21/0.45 % CPU time: 0.599852 seconds
% 0.21/0.45 % Total memory used: 25.953 MB
% 0.21/0.45 % Net memory used: 25.462 MB
%------------------------------------------------------------------------------