TSTP Solution File: GRP606-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP606-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:12:11 EDT 2023
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 3
% Syntax : Number of formulae : 62 ( 62 unt; 0 def)
% Number of atoms : 62 ( 61 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 147 (; 147 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(X0,multiply(double_divide(X0,X1),inverse(X2)))),X1) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(double_divide(X0,X1),inverse(X2)),X0),X1) = X2,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(X0,inverse(X1)),multiply(multiply(double_divide(X2,X3),inverse(X0)),X2)),X3) = X1,
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(double_divide(X0,X1),multiply(X2,X3)),X0),X1) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(double_divide(X1,X0),inverse(X2)),X1)) = inverse(X2),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f24,plain,
! [X0,X1] : double_divide(inverse(X0),multiply(X0,inverse(X1))) = X1,
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f34,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),inverse(X2))) = X2,
inference(paramodulation,[status(thm)],[f5,f24]) ).
fof(f40,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),inverse(X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f24,f5]) ).
fof(f45,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,inverse(X1))),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f40,f24]) ).
fof(f49,plain,
! [X0,X1] : double_divide(inverse(inverse(X0)),inverse(X1)) = multiply(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f40,f45]) ).
fof(f50,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,multiply(X1,X2))),inverse(double_divide(X2,X1))) = X0,
inference(paramodulation,[status(thm)],[f5,f45]) ).
fof(f51,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,multiply(X1,X2))),multiply(X1,X2)) = X0,
inference(forward_demodulation,[status(thm)],[f5,f50]) ).
fof(f117,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,X1)),inverse(X2)) = multiply(X2,inverse(double_divide(X1,X0))),
inference(paramodulation,[status(thm)],[f5,f49]) ).
fof(f118,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,X1)),inverse(X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f5,f117]) ).
fof(f127,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(backward_demodulation,[status(thm)],[f118,f45]) ).
fof(f132,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = double_divide(inverse(double_divide(X1,X2)),X0),
inference(paramodulation,[status(thm)],[f127,f10]) ).
fof(f133,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = double_divide(multiply(X2,X1),X0),
inference(forward_demodulation,[status(thm)],[f5,f132]) ).
fof(f138,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,multiply(X1,multiply(X2,inverse(X1))))),X2) = X0,
inference(paramodulation,[status(thm)],[f127,f51]) ).
fof(f139,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f127,f138]) ).
fof(f156,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f139,f5]) ).
fof(f167,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X1),X2) = multiply(X0,double_divide(X1,X2)),
inference(paramodulation,[status(thm)],[f156,f8]) ).
fof(f168,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f156,f127]) ).
fof(f170,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f156,f24]) ).
fof(f274,plain,
! [X0,X1,X2] : double_divide(inverse(X0),multiply(X1,X2)) = multiply(double_divide(X2,X1),X0),
inference(paramodulation,[status(thm)],[f5,f170]) ).
fof(f288,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f274,f24]) ).
fof(f300,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f288,f34]) ).
fof(f301,plain,
! [X0,X1] : multiply(X0,double_divide(inverse(X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f167,f300]) ).
fof(f311,plain,
! [X0,X1] : X0 = double_divide(inverse(X0),double_divide(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f288,f301]) ).
fof(f312,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f170,f301]) ).
fof(f319,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = double_divide(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f301,f168]) ).
fof(f325,plain,
! [X0,X1] : X0 = double_divide(inverse(X0),multiply(X1,inverse(X1))),
inference(paramodulation,[status(thm)],[f288,f312]) ).
fof(f326,plain,
! [X0,X1] : X0 = multiply(double_divide(inverse(X1),X1),X0),
inference(forward_demodulation,[status(thm)],[f274,f325]) ).
fof(f349,plain,
! [X0,X1] : X0 = multiply(multiply(X1,inverse(X1)),X0),
inference(paramodulation,[status(thm)],[f170,f326]) ).
fof(f391,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X1) = double_divide(X2,multiply(X3,inverse(X3))),
inference(paramodulation,[status(thm)],[f349,f10]) ).
fof(f392,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),X2)) = double_divide(X2,multiply(X3,inverse(X3))),
inference(forward_demodulation,[status(thm)],[f133,f391]) ).
fof(f449,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(X0),X0),multiply(double_divide(inverse(X1),X1),inverse(X2))) = X2,
inference(paramodulation,[status(thm)],[f319,f34]) ).
fof(f450,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),X0),inverse(X1)) = X1,
inference(forward_demodulation,[status(thm)],[f326,f449]) ).
fof(f476,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(X0),X0),multiply(X1,X2)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f450]) ).
fof(f477,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),double_divide(inverse(X1),X1)),multiply(X0,inverse(X2))) = X2,
inference(paramodulation,[status(thm)],[f450,f34]) ).
fof(f478,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(inverse(X1),X1),multiply(X0,inverse(X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f167,f477]) ).
fof(f479,plain,
! [X0,X1] : multiply(X0,double_divide(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f476,f478]) ).
fof(f501,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f479,f168]) ).
fof(f502,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),inverse(X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f479,f156]) ).
fof(f503,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),X1)),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f501,f502]) ).
fof(f504,plain,
! [X0,X1] : double_divide(multiply(X0,inverse(X1)),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f5,f503]) ).
fof(f505,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),X1),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f501,f504]) ).
fof(f511,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X1) = double_divide(double_divide(inverse(X2),X3),X3),
inference(paramodulation,[status(thm)],[f479,f10]) ).
fof(f512,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),X2)) = double_divide(double_divide(inverse(X2),X3),X3),
inference(forward_demodulation,[status(thm)],[f133,f511]) ).
fof(f513,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),X2)) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f505,f512]) ).
fof(f713,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),X2)) = double_divide(X2,double_divide(inverse(X3),X3)),
inference(backward_demodulation,[status(thm)],[f501,f392]) ).
fof(f714,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,double_divide(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f513,f713]) ).
fof(f758,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(backward_demodulation,[status(thm)],[f714,f311]) ).
fof(f773,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f758,f170]) ).
fof(f776,plain,
multiply(double_divide(inverse(b2),b2),a2) != a2,
inference(backward_demodulation,[status(thm)],[f773,f6]) ).
fof(f777,plain,
a2 != a2,
inference(forward_demodulation,[status(thm)],[f326,f776]) ).
fof(f778,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f777]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP606-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:21:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.037883 seconds
% 0.13/0.39 % CPU time: 0.190603 seconds
% 0.13/0.39 % Memory used: 3.683 MB
%------------------------------------------------------------------------------