TSTP Solution File: GRP608-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP608-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 0.10s 0.35s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 97 (; 97 !; 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/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(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/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(a,b) != multiply(b,a),
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(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(f22,plain,
! [X0,X1] : double_divide(inverse(X0),multiply(X0,inverse(X1))) = X1,
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f31,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),inverse(X2))) = X2,
inference(paramodulation,[status(thm)],[f5,f22]) ).
fof(f37,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),inverse(X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f22,f5]) ).
fof(f42,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,inverse(X1))),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f37,f22]) ).
fof(f46,plain,
! [X0,X1] : double_divide(inverse(inverse(X0)),inverse(X1)) = multiply(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f37,f42]) ).
fof(f47,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,multiply(X1,X2))),inverse(double_divide(X2,X1))) = X0,
inference(paramodulation,[status(thm)],[f5,f42]) ).
fof(f48,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,multiply(X1,X2))),multiply(X1,X2)) = X0,
inference(forward_demodulation,[status(thm)],[f5,f47]) ).
fof(f119,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,X1)),inverse(X2)) = multiply(X2,inverse(double_divide(X1,X0))),
inference(paramodulation,[status(thm)],[f5,f46]) ).
fof(f120,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,X1)),inverse(X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f5,f119]) ).
fof(f129,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(backward_demodulation,[status(thm)],[f120,f42]) ).
fof(f141,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,multiply(X1,multiply(X2,inverse(X1))))),X2) = X0,
inference(paramodulation,[status(thm)],[f129,f48]) ).
fof(f142,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f129,f141]) ).
fof(f155,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f142,f5]) ).
fof(f164,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X1),X2) = multiply(X0,double_divide(X1,X2)),
inference(paramodulation,[status(thm)],[f155,f8]) ).
fof(f165,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f155,f129]) ).
fof(f167,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f155,f22]) ).
fof(f248,plain,
! [X0,X1,X2] : double_divide(inverse(X0),multiply(X1,X2)) = multiply(double_divide(X2,X1),X0),
inference(paramodulation,[status(thm)],[f5,f167]) ).
fof(f262,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f248,f22]) ).
fof(f272,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f262,f31]) ).
fof(f273,plain,
! [X0,X1] : multiply(X0,double_divide(inverse(X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f164,f272]) ).
fof(f284,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f167,f273]) ).
fof(f291,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = double_divide(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f273,f165]) ).
fof(f297,plain,
! [X0,X1] : X0 = double_divide(inverse(X0),multiply(X1,inverse(X1))),
inference(paramodulation,[status(thm)],[f262,f284]) ).
fof(f298,plain,
! [X0,X1] : X0 = multiply(double_divide(inverse(X1),X1),X0),
inference(forward_demodulation,[status(thm)],[f248,f297]) ).
fof(f424,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(X0),X0),multiply(double_divide(inverse(X1),X1),inverse(X2))) = X2,
inference(paramodulation,[status(thm)],[f291,f31]) ).
fof(f425,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),X0),inverse(X1)) = X1,
inference(forward_demodulation,[status(thm)],[f298,f424]) ).
fof(f448,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(X0),X0),multiply(X1,X2)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f425]) ).
fof(f452,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),double_divide(inverse(X1),X1)),multiply(X0,inverse(X2))) = X2,
inference(paramodulation,[status(thm)],[f425,f31]) ).
fof(f453,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(inverse(X1),X1),multiply(X0,inverse(X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f164,f452]) ).
fof(f454,plain,
! [X0,X1] : multiply(X0,double_divide(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f448,f453]) ).
fof(f462,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f142,f454]) ).
fof(f463,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f462]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GRP608-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n023.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:45:38 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 0.10/0.35 % Refutation found
% 0.10/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.37 % Elapsed time: 0.039061 seconds
% 0.10/0.37 % CPU time: 0.066592 seconds
% 0.10/0.37 % Memory used: 1.993 MB
%------------------------------------------------------------------------------