TSTP Solution File: GRP578-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP578-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:20:59 EDT 2024
% Result : Unsatisfiable 0.11s 0.38s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of formulae : 60 ( 60 unt; 0 def)
% Number of atoms : 60 ( 59 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 : 9 ( 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 : 97 ( 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,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(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,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] : 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(f14,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f16,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),double_divide(identity,identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f17,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f16]) ).
fof(f18,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(identity)) = double_divide(double_divide(double_divide(X2,double_divide(identity,X0)),X1),inverse(X2)),
inference(paramodulation,[status(thm)],[f17,f17]) ).
fof(f19,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X0)),double_divide(X2,inverse(X1))),inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f17,f17]) ).
fof(f20,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = inverse(double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f9,f17]) ).
fof(f21,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f11,f20]) ).
fof(f22,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(double_divide(X1,X0)),inverse(X1))),inverse(identity)) = identity,
inference(paramodulation,[status(thm)],[f8,f17]) ).
fof(f23,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(multiply(X0,X1),inverse(X1))),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f11,f22]) ).
fof(f24,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),inverse(double_divide(X2,double_divide(double_divide(double_divide(X3,X2),X0),inverse(X3)))))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f17,f17]) ).
fof(f25,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(double_divide(X2,X3),X0),inverse(X2)),X3))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f11,f24]) ).
fof(f26,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X1),inverse(X0))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f17]) ).
fof(f30,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f31,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f13]) ).
fof(f206,plain,
! [X0,X1] : inverse(identity) = multiply(double_divide(double_divide(double_divide(X0,X1),identity),inverse(X0)),X1),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f207,plain,
! [X0,X1] : inverse(identity) = multiply(double_divide(inverse(double_divide(X0,X1)),inverse(X0)),X1),
inference(forward_demodulation,[status(thm)],[f8,f206]) ).
fof(f208,plain,
! [X0,X1] : inverse(identity) = multiply(double_divide(multiply(X0,X1),inverse(X1)),X0),
inference(forward_demodulation,[status(thm)],[f11,f207]) ).
fof(f209,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(double_divide(identity,double_divide(identity,X0)),X1),
inference(paramodulation,[status(thm)],[f18,f21]) ).
fof(f210,plain,
! [X0,X1] : multiply(X0,X1) = multiply(double_divide(identity,double_divide(identity,X0)),X1),
inference(forward_demodulation,[status(thm)],[f21,f209]) ).
fof(f211,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = multiply(X0,identity),
inference(paramodulation,[status(thm)],[f9,f21]) ).
fof(f212,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f8,f211]) ).
fof(f337,plain,
! [X0,X1] : double_divide(double_divide(inverse(identity),identity),inverse(identity)) = double_divide(double_divide(double_divide(X0,X1),X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f14,f25]) ).
fof(f338,plain,
! [X0,X1] : double_divide(inverse(inverse(identity)),inverse(identity)) = double_divide(double_divide(double_divide(X0,X1),X1),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f8,f337]) ).
fof(f339,plain,
! [X0,X1] : multiply(inverse(identity),identity) = double_divide(double_divide(double_divide(X0,X1),X1),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f212,f338]) ).
fof(f340,plain,
! [X0,X1] : inverse(identity) = double_divide(double_divide(double_divide(X0,X1),X1),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f12,f339]) ).
fof(f441,plain,
! [X0,X1] : inverse(identity) = double_divide(double_divide(identity,inverse(identity)),inverse(double_divide(X0,double_divide(multiply(X0,X1),inverse(X1))))),
inference(paramodulation,[status(thm)],[f23,f340]) ).
fof(f442,plain,
! [X0,X1] : inverse(identity) = double_divide(identity,inverse(double_divide(X0,double_divide(multiply(X0,X1),inverse(X1))))),
inference(forward_demodulation,[status(thm)],[f9,f441]) ).
fof(f443,plain,
! [X0,X1] : inverse(identity) = double_divide(identity,multiply(double_divide(multiply(X0,X1),inverse(X1)),X0)),
inference(forward_demodulation,[status(thm)],[f11,f442]) ).
fof(f444,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(forward_demodulation,[status(thm)],[f208,f443]) ).
fof(f445,plain,
inverse(identity) = identity,
inference(forward_demodulation,[status(thm)],[f9,f444]) ).
fof(f501,plain,
! [X0] : double_divide(inverse(X0),identity) = multiply(X0,identity),
inference(backward_demodulation,[status(thm)],[f445,f212]) ).
fof(f502,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f8,f501]) ).
fof(f503,plain,
! [X0] : multiply(identity,X0) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f13,f502]) ).
fof(f646,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X1),inverse(X0))),identity) = X1,
inference(forward_demodulation,[status(thm)],[f445,f26]) ).
fof(f647,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),double_divide(double_divide(identity,X1),inverse(X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f646]) ).
fof(f648,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X0),inverse(X1)),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f11,f647]) ).
fof(f649,plain,
! [X0] : multiply(identity,inverse(double_divide(identity,X0))) = X0,
inference(paramodulation,[status(thm)],[f9,f648]) ).
fof(f650,plain,
! [X0] : multiply(identity,multiply(X0,identity)) = X0,
inference(forward_demodulation,[status(thm)],[f11,f649]) ).
fof(f684,plain,
! [X0] : multiply(identity,multiply(X0,identity)) = double_divide(identity,double_divide(identity,X0)),
inference(paramodulation,[status(thm)],[f210,f650]) ).
fof(f685,plain,
! [X0] : X0 = double_divide(identity,double_divide(identity,X0)),
inference(forward_demodulation,[status(thm)],[f650,f684]) ).
fof(f708,plain,
! [X0] : multiply(identity,X0) = inverse(multiply(double_divide(identity,X0),identity)),
inference(paramodulation,[status(thm)],[f685,f31]) ).
fof(f709,plain,
! [X0] : multiply(identity,X0) = inverse(multiply(identity,double_divide(identity,X0))),
inference(forward_demodulation,[status(thm)],[f503,f708]) ).
fof(f710,plain,
! [X0] : multiply(identity,X0) = multiply(identity,inverse(double_divide(identity,X0))),
inference(forward_demodulation,[status(thm)],[f30,f709]) ).
fof(f711,plain,
! [X0] : multiply(identity,X0) = multiply(identity,multiply(X0,identity)),
inference(forward_demodulation,[status(thm)],[f11,f710]) ).
fof(f712,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f650,f711]) ).
fof(f724,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f712,f10]) ).
fof(f725,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GRP578-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n002.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 00:45:09 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.40 % Elapsed time: 0.058888 seconds
% 0.11/0.40 % CPU time: 0.358974 seconds
% 0.11/0.40 % Total memory used: 25.301 MB
% 0.11/0.40 % Net memory used: 24.863 MB
%------------------------------------------------------------------------------