TSTP Solution File: GRP613-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP613-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 12:12:12 EDT 2023
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 44 ( 44 unt; 0 def)
% Number of atoms : 44 ( 43 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 : 8 ( 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 : 98 (; 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,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(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,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(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : double_divide(multiply(X0,inverse(double_divide(X1,inverse(X2)))),double_divide(X1,X0)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(X1,multiply(inverse(X3),X0)))),X3) = X2,
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(inverse(X2),X0))) = inverse(X2),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X2),multiply(inverse(X3),multiply(X2,multiply(inverse(X0),X1))))) = inverse(X3),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f13,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2))),inverse(X0)) = inverse(X2),
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f16,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2)))) = X2,
inference(paramodulation,[status(thm)],[f11,f8]) ).
fof(f141,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,multiply(inverse(inverse(X2)),X3)),double_divide(X3,X1)),inverse(X0))) = inverse(X2),
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f142,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),inverse(X0))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f8,f141]) ).
fof(f152,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(multiply(X0,multiply(inverse(inverse(X1)),X2)),double_divide(X2,X0)),inverse(X3)),X3) = X1,
inference(paramodulation,[status(thm)],[f12,f10]) ).
fof(f153,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f8,f152]) ).
fof(f224,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),multiply(X1,X2)),double_divide(X2,X1)) = X0,
inference(paramodulation,[status(thm)],[f5,f153]) ).
fof(f257,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f142,f8]) ).
fof(f274,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(inverse(X2),X2)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f257]) ).
fof(f435,plain,
! [X0,X1] : X0 = double_divide(multiply(X1,inverse(X1)),inverse(X0)),
inference(paramodulation,[status(thm)],[f224,f274]) ).
fof(f503,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,inverse(X1))) = inverse(X0),
inference(paramodulation,[status(thm)],[f435,f5]) ).
fof(f513,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(multiply(X1,inverse(X1)),inverse(X2))),inverse(X0)) = inverse(X2),
inference(paramodulation,[status(thm)],[f503,f13]) ).
fof(f514,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),inverse(X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f435,f513]) ).
fof(f515,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(inverse(X0),double_divide(multiply(X1,inverse(X1)),inverse(X2)))) = X2,
inference(paramodulation,[status(thm)],[f503,f16]) ).
fof(f516,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f435,f515]) ).
fof(f789,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(inverse(double_divide(X1,X0)),X2)) = X2,
inference(paramodulation,[status(thm)],[f5,f516]) ).
fof(f790,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(multiply(X0,X1),X2)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f789]) ).
fof(f791,plain,
! [X0,X1] : double_divide(inverse(X0),X0) = double_divide(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f257,f516]) ).
fof(f861,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = inverse(double_divide(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f791,f5]) ).
fof(f862,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f5,f861]) ).
fof(f1149,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f153,f790]) ).
fof(f1200,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f435,f1149]) ).
fof(f1247,plain,
! [X0,X1] : multiply(double_divide(inverse(inverse(X0)),X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f1200,f514]) ).
fof(f1248,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f1200,f1247]) ).
fof(f1264,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f1200,f503]) ).
fof(f1265,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f1200,f1264]) ).
fof(f1565,plain,
! [X0,X1] : double_divide(X0,double_divide(inverse(inverse(X1)),X0)) = X1,
inference(paramodulation,[status(thm)],[f1265,f8]) ).
fof(f1566,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f1200,f1565]) ).
fof(f1846,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f1566,f1248]) ).
fof(f1847,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f1846]) ).
fof(f1991,plain,
multiply(inverse(a1),a1) != multiply(b1,inverse(b1)),
inference(paramodulation,[status(thm)],[f1847,f6]) ).
fof(f1992,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(forward_demodulation,[status(thm)],[f1847,f1991]) ).
fof(f1993,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1992,f862]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP613-1 : 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 : n015.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 11:43:19 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.030565 seconds
% 0.13/0.37 % CPU time: 0.146748 seconds
% 0.13/0.37 % Memory used: 4.977 MB
%------------------------------------------------------------------------------