TSTP Solution File: GRP444-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP444-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:11:43 EDT 2023
% Result : Unsatisfiable 106.75s 13.87s
% Output : CNFRefutation 107.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 2
% Syntax : Number of formulae : 65 ( 65 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 230 (; 230 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B))))))) = D,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3] : inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1))))))) = X3,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(X0,multiply(X1,multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(X6,multiply(X0,X1))))))) = X6,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X0)))),multiply(multiply(X4,inverse(X4)),X2)))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(multiply(multiply(X2,inverse(X2)),X3),multiply(multiply(X4,inverse(X4)),X5)))) = multiply(multiply(X6,inverse(X6)),inverse(multiply(X1,multiply(X3,X5)))),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,X3)))),multiply(multiply(multiply(X4,inverse(X4)),X1),multiply(multiply(X5,inverse(X5)),X2)))) = X3,
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f53,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(X3,X0))),multiply(X2,X3)))),
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(inverse(multiply(X3,multiply(X0,multiply(multiply(X4,inverse(X4)),X2)))),X3)))),
inference(paramodulation,[status(thm)],[f6,f9]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X1,X3)))),multiply(multiply(X6,inverse(X6)),X5))))),
inference(paramodulation,[status(thm)],[f10,f53]) ).
fof(f121,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(X2,inverse(X2)),X1),
inference(forward_demodulation,[status(thm)],[f6,f120]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : inverse(multiply(X0,multiply(X1,multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(multiply(X6,inverse(X6)),multiply(X0,X1))))))) = multiply(X7,inverse(X7)),
inference(paramodulation,[status(thm)],[f121,f5]) ).
fof(f208,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f5,f207]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1)))))),X3) = multiply(X4,inverse(X4)),
inference(paramodulation,[status(thm)],[f3,f208]) ).
fof(f316,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(inverse(X2),X0))),multiply(X3,inverse(X3))))),
inference(paramodulation,[status(thm)],[f208,f53]) ).
fof(f317,plain,
! [X0,X1,X2,X3] : inverse(X0) = multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(X3,inverse(X3)))),multiply(X2,X0)))),
inference(paramodulation,[status(thm)],[f208,f53]) ).
fof(f1511,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(inverse(X3),X1))))))) = X0,
inference(paramodulation,[status(thm)],[f316,f6]) ).
fof(f1512,plain,
! [X0,X1,X2] : inverse(multiply(X0,multiply(inverse(X0),X1))) = inverse(multiply(X2,multiply(inverse(X2),X1))),
inference(paramodulation,[status(thm)],[f316,f3]) ).
fof(f1556,plain,
! [X0,X1,X2] : inverse(multiply(X0,multiply(X1,inverse(X1)))) = inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(X0))))),
inference(paramodulation,[status(thm)],[f208,f1512]) ).
fof(f3843,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(inverse(multiply(X0,multiply(X1,inverse(X1)))),multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(inverse(X4),X2))))))) = multiply(X5,multiply(inverse(X5),inverse(inverse(X0)))),
inference(paramodulation,[status(thm)],[f1556,f1511]) ).
fof(f3844,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(X1))) = multiply(X2,multiply(inverse(X2),inverse(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f1511,f3843]) ).
fof(f3845,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(inverse(X4),X2))))))) = multiply(X5,multiply(inverse(X5),X1)),
inference(paramodulation,[status(thm)],[f1512,f1511]) ).
fof(f3846,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
inference(forward_demodulation,[status(thm)],[f1511,f3845]) ).
fof(f3871,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),multiply(inverse(inverse(inverse(multiply(X1,multiply(inverse(X1),X2))))),X2))) = X0,
inference(paramodulation,[status(thm)],[f316,f1511]) ).
fof(f4051,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(inverse(X1),X2))) = multiply(X3,multiply(inverse(X3),multiply(inverse(inverse(X0)),X2))),
inference(paramodulation,[status(thm)],[f3846,f3846]) ).
fof(f22271,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,multiply(inverse(X0),multiply(inverse(inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,multiply(inverse(X4),X5)),multiply(X1,X2)))))))),X5))) = multiply(X6,inverse(X6)),
inference(paramodulation,[status(thm)],[f4051,f283]) ).
fof(f22272,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(X0),multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2))) = multiply(X3,inverse(X3)),
inference(forward_demodulation,[status(thm)],[f3,f22271]) ).
fof(f22277,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(inverse(X0),inverse(inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X1,X2)))))))))) = multiply(X5,inverse(X5)),
inference(paramodulation,[status(thm)],[f3844,f283]) ).
fof(f22278,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),inverse(multiply(X1,inverse(X1))))) = multiply(X2,inverse(X2)),
inference(forward_demodulation,[status(thm)],[f3,f22277]) ).
fof(f23406,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))) = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(X4,inverse(X4)))),multiply(X3,X0)))),
inference(paramodulation,[status(thm)],[f22278,f53]) ).
fof(f23407,plain,
! [X0,X1] : multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f317,f23406]) ).
fof(f23719,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = inverse(multiply(inverse(X0),multiply(inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3))))),X3))),
inference(paramodulation,[status(thm)],[f3871,f23407]) ).
fof(f23720,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f3871,f23719]) ).
fof(f23864,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(X1,multiply(inverse(X1),inverse(multiply(X2,inverse(X2)))))))))) = X0,
inference(paramodulation,[status(thm)],[f23407,f3871]) ).
fof(f23865,plain,
! [X0,X1] : inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(X1,inverse(X1))))))) = X0,
inference(forward_demodulation,[status(thm)],[f23407,f23864]) ).
fof(f24058,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),multiply(inverse(multiply(X1,inverse(X1))),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(X3))))))) = X0,
inference(paramodulation,[status(thm)],[f23720,f1511]) ).
fof(f24059,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),multiply(inverse(multiply(X1,inverse(X1))),multiply(X2,inverse(X2))))) = X0,
inference(forward_demodulation,[status(thm)],[f23720,f24058]) ).
fof(f28173,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X4)))),multiply(X0,X1)))))) = X3,
inference(paramodulation,[status(thm)],[f5,f24059]) ).
fof(f28174,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(X3),multiply(X0,X1)))))) = X3,
inference(forward_demodulation,[status(thm)],[f23720,f28173]) ).
fof(f36855,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(X0),multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2)) = multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X4,multiply(X5,inverse(X5)))),multiply(X4,X0)))),
inference(paramodulation,[status(thm)],[f22272,f53]) ).
fof(f36856,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f317,f36855]) ).
fof(f37262,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2)) = inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(X3,inverse(X3))))))),
inference(paramodulation,[status(thm)],[f23865,f36856]) ).
fof(f37263,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2)) = X0,
inference(forward_demodulation,[status(thm)],[f23865,f37262]) ).
fof(f38557,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(X3))))),multiply(X0,X1)) = X3,
inference(paramodulation,[status(thm)],[f55,f28174]) ).
fof(f75150,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f38557,f37263]) ).
fof(f75461,plain,
! [X0,X1] : inverse(multiply(inverse(X0),inverse(multiply(X1,inverse(X1))))) = X0,
inference(backward_demodulation,[status(thm)],[f75150,f24059]) ).
fof(f75462,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f23720,f75461]) ).
fof(f76456,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f75462,f75150]) ).
fof(f76713,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f3846,f76456]) ).
fof(f77467,plain,
! [X0,X1,X2] : X0 = multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(X0),multiply(X2,inverse(X2))))),
inference(paramodulation,[status(thm)],[f28174,f76713]) ).
fof(f77468,plain,
! [X0,X1] : X0 = multiply(multiply(X1,inverse(X1)),inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f75150,f77467]) ).
fof(f77469,plain,
! [X0,X1] : X0 = multiply(multiply(X1,inverse(X1)),X0),
inference(forward_demodulation,[status(thm)],[f75462,f77468]) ).
fof(f78248,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(multiply(X3,inverse(X3)),X0),multiply(multiply(X4,inverse(X4)),X1)))) = X2,
inference(backward_demodulation,[status(thm)],[f77469,f10]) ).
fof(f78249,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(multiply(X3,inverse(X3)),X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f77469,f78248]) ).
fof(f78250,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1))) = X2,
inference(forward_demodulation,[status(thm)],[f77469,f78249]) ).
fof(f78253,plain,
! [X0,X1,X2] : inverse(multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))) = X2,
inference(backward_demodulation,[status(thm)],[f77469,f3]) ).
fof(f78268,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f75462,f77469]) ).
fof(f78375,plain,
! [X0,X1,X2] : inverse(multiply(X0,inverse(multiply(X1,multiply(multiply(inverse(X2),X2),X0))))) = X1,
inference(paramodulation,[status(thm)],[f78268,f78253]) ).
fof(f78376,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f78268,f78375]) ).
fof(f80455,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f78376,f75462]) ).
fof(f84398,plain,
! [X0,X1,X2] : inverse(inverse(multiply(X0,multiply(X1,X2)))) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f78250,f80455]) ).
fof(f84399,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f75462,f84398]) ).
fof(f87037,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f84399,f4]) ).
fof(f87038,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f87037]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : GRP444-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n019.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 11:33:55 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 106.75/13.87 % Refutation found
% 106.75/13.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 106.75/13.87 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 108.26/14.08 % Elapsed time: 13.750989 seconds
% 108.26/14.08 % CPU time: 107.934039 seconds
% 108.26/14.08 % Memory used: 853.933 MB
%------------------------------------------------------------------------------