TSTP Solution File: GRP596-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP596-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : Wed May 31 12:12:09 EDT 2023
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 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 : 70 (; 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))) = C,
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(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(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(a,b) != multiply(b,a),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : multiply(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),double_divide(X0,X2)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : multiply(multiply(inverse(double_divide(X0,X1)),X2),double_divide(X2,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f8]) ).
fof(f10,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(X1,X2),multiply(X2,X0))) = X1,
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f11,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X1,multiply(multiply(X2,X0),X3))) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f16,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,double_divide(X0,multiply(X2,X1))),X2),
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f42,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(multiply(X1,X0),X2),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f11,f16]) ).
fof(f67,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(multiply(X1,X2),X0)) = inverse(X2),
inference(paramodulation,[status(thm)],[f42,f5]) ).
fof(f110,plain,
! [X0,X1,X2] : multiply(inverse(X0),double_divide(double_divide(multiply(X1,X0),X2),X2)) = X1,
inference(paramodulation,[status(thm)],[f67,f9]) ).
fof(f138,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),multiply(X2,inverse(X1))) = double_divide(X0,X2),
inference(paramodulation,[status(thm)],[f110,f16]) ).
fof(f202,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(multiply(inverse(X1),double_divide(X0,X2)),X2),
inference(paramodulation,[status(thm)],[f138,f16]) ).
fof(f313,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),X2),X1) = double_divide(X0,X2),
inference(paramodulation,[status(thm)],[f110,f202]) ).
fof(f340,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X0,multiply(X1,X2))) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f16,f313]) ).
fof(f373,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f67,f340]) ).
fof(f387,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X0,inverse(X1))) = double_divide(double_divide(multiply(X2,X1),X3),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f67,f340]) ).
fof(f388,plain,
! [X0,X1] : multiply(X0,double_divide(X0,inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f42,f387]) ).
fof(f454,plain,
! [X0,X1,X2] : inverse(inverse(X0)) = double_divide(double_divide(multiply(X1,X0),X2),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f67,f373]) ).
fof(f455,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f42,f454]) ).
fof(f478,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f455,f388]) ).
fof(f1006,plain,
! [X0,X1] : inverse(inverse(X0)) = double_divide(double_divide(X1,X0),X1),
inference(paramodulation,[status(thm)],[f478,f373]) ).
fof(f1007,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,X0),X1),
inference(forward_demodulation,[status(thm)],[f455,f1006]) ).
fof(f1041,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f1007,f10]) ).
fof(f1242,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f1041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP596-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 11:42:13 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37 % Elapsed time: 0.031485 seconds
% 0.12/0.37 % CPU time: 0.159560 seconds
% 0.12/0.37 % Memory used: 4.005 MB
%------------------------------------------------------------------------------