TSTP Solution File: GRP591-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP591-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:12:08 EDT 2023
% Result : Unsatisfiable 0.16s 0.53s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 50 ( 50 unt; 0 def)
% Number of atoms : 50 ( 49 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 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 : 116 (; 116 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1) = X2,
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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(double_divide(X0,inverse(X1))),double_divide(X0,X2)),X2) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,X2)),X2) = X0,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(inverse(X0),multiply(multiply(inverse(X1),X2),double_divide(X2,X3))),X1),X3) = X0,
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(X1),X2),double_divide(X2,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f26,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X0),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(multiply(inverse(X1),multiply(multiply(inverse(X2),multiply(multiply(inverse(X3),X4),double_divide(X4,X0))),X3)),X2)) = inverse(X1),
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f41,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(multiply(inverse(X1),multiply(inverse(X2),X2)),X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f26,f11]) ).
fof(f42,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),multiply(inverse(X1),X1)),X2),inverse(X2)) = X0,
inference(paramodulation,[status(thm)],[f26,f8]) ).
fof(f43,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X1)) = inverse(X0),
inference(paramodulation,[status(thm)],[f26,f5]) ).
fof(f44,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X1),inverse(X1)) = X0,
inference(backward_demodulation,[status(thm)],[f43,f42]) ).
fof(f45,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X0)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f43,f41]) ).
fof(f60,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X1),X1))) = X0,
inference(paramodulation,[status(thm)],[f43,f44]) ).
fof(f61,plain,
! [X0,X1] : double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f43,f26]) ).
fof(f79,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),inverse(multiply(inverse(X2),X2))) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f60]) ).
fof(f87,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),inverse(X1)),X1),inverse(multiply(inverse(X2),X2))) = X0,
inference(paramodulation,[status(thm)],[f60,f8]) ).
fof(f88,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X1),inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f79,f87]) ).
fof(f129,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f60,f61]) ).
fof(f153,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X1),X1)) = inverse(X0),
inference(paramodulation,[status(thm)],[f129,f88]) ).
fof(f155,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(inverse(X0),X0),X1),X2) = multiply(multiply(inverse(X1),X3),double_divide(X3,X2)),
inference(paramodulation,[status(thm)],[f129,f10]) ).
fof(f165,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),X0),double_divide(X1,X2)),X2) = X1,
inference(paramodulation,[status(thm)],[f129,f8]) ).
fof(f189,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(inverse(X1),X1))) = inverse(X0),
inference(paramodulation,[status(thm)],[f43,f153]) ).
fof(f207,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f153,f5]) ).
fof(f208,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f189,f60]) ).
fof(f209,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f189,f79]) ).
fof(f217,plain,
! [X0,X1] : double_divide(inverse(inverse(double_divide(X0,X1))),X1) = X0,
inference(backward_demodulation,[status(thm)],[f207,f165]) ).
fof(f218,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f208,f217]) ).
fof(f223,plain,
! [X0,X1,X2] : double_divide(inverse(inverse(X0)),X1) = multiply(multiply(inverse(X0),X2),double_divide(X2,X1)),
inference(backward_demodulation,[status(thm)],[f207,f155]) ).
fof(f224,plain,
! [X0,X1,X2] : double_divide(X0,X1) = multiply(multiply(inverse(X0),X2),double_divide(X2,X1)),
inference(forward_demodulation,[status(thm)],[f208,f223]) ).
fof(f267,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(inverse(X1),multiply(multiply(inverse(X2),double_divide(X3,X0)),X3)),X2)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f224,f34]) ).
fof(f279,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f208,f45]) ).
fof(f280,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f208,f279]) ).
fof(f346,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f208,f280]) ).
fof(f348,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f280,f280]) ).
fof(f349,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f209,f348]) ).
fof(f458,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f218,f349]) ).
fof(f459,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f458]) ).
fof(f461,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f349,f346]) ).
fof(f536,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(paramodulation,[status(thm)],[f459,f6]) ).
fof(f538,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f459,f280]) ).
fof(f926,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = inverse(multiply(inverse(X2),double_divide(X1,X0))),
inference(paramodulation,[status(thm)],[f538,f267]) ).
fof(f927,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = double_divide(double_divide(X1,X0),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f209,f926]) ).
fof(f1765,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = double_divide(double_divide(X2,X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f5,f461]) ).
fof(f1766,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[status(thm)],[f927,f1765]) ).
fof(f1767,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f536,f1766]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GRP591-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n014.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:28:18 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 0.16/0.53 % Refutation found
% 0.16/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.56 % Elapsed time: 0.237095 seconds
% 0.16/0.56 % CPU time: 1.160907 seconds
% 0.16/0.56 % Memory used: 24.800 MB
%------------------------------------------------------------------------------