TSTP Solution File: GRP576-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP576-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 12:12:06 EDT 2023
% Result : Unsatisfiable 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of formulae : 68 ( 68 unt; 0 def)
% Number of atoms : 68 ( 67 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 90 (; 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B,
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(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = 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(a,b) != multiply(b,a),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f14,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f7,f8]) ).
fof(f17,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f8,f7]) ).
fof(f18,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(identity,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f7,f14]) ).
fof(f19,plain,
! [X0] : inverse(inverse(X0)) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f20,plain,
! [X0] : inverse(multiply(identity,X0)) = multiply(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f27,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = double_divide(multiply(identity,inverse(X0)),identity),
inference(paramodulation,[status(thm)],[f17,f11]) ).
fof(f30,plain,
! [X0] : inverse(multiply(identity,inverse(X0))) = multiply(identity,multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f17,f18]) ).
fof(f75,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),multiply(identity,multiply(identity,X0))),
inference(paramodulation,[status(thm)],[f30,f9]) ).
fof(f82,plain,
! [X0] : multiply(inverse(X0),X0) = double_divide(identity,identity),
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f212,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))),double_divide(identity,identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f213,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f212]) ).
fof(f233,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,identity),inverse(X0))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f213]) ).
fof(f234,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(inverse(X1),inverse(X0))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f233]) ).
fof(f235,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,inverse(X1)),inverse(X1))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f8,f213]) ).
fof(f626,plain,
! [X0] : double_divide(double_divide(inverse(inverse(X0)),identity),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f9,f234]) ).
fof(f627,plain,
! [X0] : double_divide(multiply(identity,inverse(X0)),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f17,f626]) ).
fof(f659,plain,
! [X0,X1] : double_divide(multiply(identity,multiply(X0,X1)),inverse(identity)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f14,f627]) ).
fof(f698,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f9,f235]) ).
fof(f830,plain,
! [X0] : double_divide(multiply(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(X0,inverse(X0)),
inference(paramodulation,[status(thm)],[f82,f659]) ).
fof(f831,plain,
! [X0] : double_divide(inverse(multiply(identity,identity)),inverse(identity)) = double_divide(X0,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f18,f830]) ).
fof(f832,plain,
! [X0] : double_divide(multiply(identity,inverse(identity)),inverse(identity)) = double_divide(X0,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f20,f831]) ).
fof(f1058,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f832,f832]) ).
fof(f2209,plain,
! [X0] : double_divide(double_divide(identity,double_divide(X0,inverse(X0))),inverse(identity)) = identity,
inference(paramodulation,[status(thm)],[f1058,f698]) ).
fof(f2210,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f9,f2209]) ).
fof(f2211,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f2210]) ).
fof(f2263,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f2211,f235]) ).
fof(f2264,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f9,f2263]) ).
fof(f2265,plain,
double_divide(inverse(identity),inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f8,f2264]) ).
fof(f2266,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f2211,f2265]) ).
fof(f2302,plain,
double_divide(inverse(identity),identity) = identity,
inference(backward_demodulation,[status(thm)],[f2266,f2211]) ).
fof(f2303,plain,
double_divide(identity,identity) = identity,
inference(forward_demodulation,[status(thm)],[f2266,f2302]) ).
fof(f2324,plain,
! [X0] : double_divide(multiply(identity,inverse(X0)),identity) = X0,
inference(backward_demodulation,[status(thm)],[f2266,f627]) ).
fof(f2332,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f2266,f213]) ).
fof(f2402,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = X0,
inference(paramodulation,[status(thm)],[f27,f2324]) ).
fof(f2405,plain,
! [X0] : inverse(multiply(identity,inverse(X0))) = X0,
inference(paramodulation,[status(thm)],[f8,f2324]) ).
fof(f2422,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X1)),X2) = X0,
inference(paramodulation,[status(thm)],[f7,f2332]) ).
fof(f2602,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),X0),
inference(backward_demodulation,[status(thm)],[f2402,f75]) ).
fof(f3149,plain,
! [X0] : multiply(double_divide(double_divide(X0,identity),inverse(identity)),identity) = X0,
inference(paramodulation,[status(thm)],[f2303,f2422]) ).
fof(f3150,plain,
! [X0] : multiply(double_divide(inverse(X0),inverse(identity)),identity) = X0,
inference(forward_demodulation,[status(thm)],[f8,f3149]) ).
fof(f3151,plain,
! [X0] : multiply(double_divide(inverse(X0),identity),identity) = X0,
inference(forward_demodulation,[status(thm)],[f2266,f3150]) ).
fof(f3152,plain,
! [X0] : multiply(multiply(identity,X0),identity) = X0,
inference(forward_demodulation,[status(thm)],[f17,f3151]) ).
fof(f3153,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),inverse(multiply(identity,inverse(X1)))),identity) = X0,
inference(paramodulation,[status(thm)],[f2324,f2422]) ).
fof(f3154,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),X1),identity) = X0,
inference(forward_demodulation,[status(thm)],[f2405,f3153]) ).
fof(f3158,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,identity),inverse(multiply(identity,inverse(X1)))),X1) = X0,
inference(paramodulation,[status(thm)],[f2602,f2422]) ).
fof(f3159,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),inverse(multiply(identity,inverse(X1)))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f8,f3158]) ).
fof(f3160,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f2405,f3159]) ).
fof(f3208,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,double_divide(identity,X1)),identity),X1) = X0,
inference(paramodulation,[status(thm)],[f2266,f2422]) ).
fof(f3209,plain,
! [X0,X1] : multiply(multiply(double_divide(identity,X0),X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f7,f3208]) ).
fof(f3437,plain,
! [X0] : multiply(double_divide(identity,X0),X0) = identity,
inference(paramodulation,[status(thm)],[f2266,f3160]) ).
fof(f3587,plain,
! [X0] : multiply(identity,X0) = X0,
inference(paramodulation,[status(thm)],[f3437,f3209]) ).
fof(f3614,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f3587,f2405]) ).
fof(f3622,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[status(thm)],[f3587,f3152]) ).
fof(f3653,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f3614,f3160]) ).
fof(f3676,plain,
! [X0,X1] : X0 = double_divide(double_divide(X0,X1),X1),
inference(paramodulation,[status(thm)],[f3154,f3622]) ).
fof(f4080,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f3676,f3653]) ).
fof(f4281,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f14,f4080]) ).
fof(f4339,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f10,f4281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP576-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:28:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.19/0.43 % Refutation found
% 0.19/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.44 % Elapsed time: 0.094925 seconds
% 0.19/0.44 % CPU time: 0.411488 seconds
% 0.19/0.44 % Memory used: 7.976 MB
%------------------------------------------------------------------------------