TSTP Solution File: GRP478-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP478-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:11:49 EDT 2023
% Result : Unsatisfiable 8.27s 1.42s
% Output : CNFRefutation 8.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 53 ( 53 unt; 0 def)
% Number of atoms : 53 ( 52 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 10 ( 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 : 199 (; 199 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : divide(inverse(divide(divide(divide(A,A),B),divide(C,divide(B,D)))),D) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
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,X3] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
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,X3] : multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,inverse(X3))))),X3) = X2,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,multiply(X1,X3)))),X3) = X2,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X0),X1),divide(X2,divide(inverse(X1),X3)))),X3) = X2,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3) = inverse(divide(divide(divide(X4,X4),X5),divide(X2,divide(X5,divide(X1,X3))))),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X0),inverse(divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4))))),divide(X5,X3))),X4) = X5,
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(X0,X0),divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4)))),divide(X5,X3))),X4) = X5,
inference(forward_demodulation,[status(thm)],[f5,f12]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : multiply(inverse(divide(multiply(divide(X0,X0),X1),divide(X2,multiply(inverse(X1),X3)))),X3) = X2,
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3) = inverse(divide(multiply(divide(X4,X4),X5),divide(X2,divide(inverse(X5),divide(inverse(X1),X3))))),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f26,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3) = inverse(divide(divide(divide(X4,X4),X5),divide(X2,divide(X5,divide(inverse(X1),X3))))),
inference(paramodulation,[status(thm)],[f4,f9]) ).
fof(f238,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,X3)) = X2,
inference(paramodulation,[status(thm)],[f11,f4]) ).
fof(f324,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,inverse(X3))) = X2,
inference(paramodulation,[status(thm)],[f5,f238]) ).
fof(f325,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),multiply(X1,X3)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f324]) ).
fof(f330,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3),divide(inverse(X1),X3)) = X2,
inference(paramodulation,[status(thm)],[f5,f238]) ).
fof(f383,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(inverse(divide(X0,X1)),X2),multiply(divide(X3,inverse(divide(divide(divide(X4,X4),X3),X0))),X2)) = X1,
inference(paramodulation,[status(thm)],[f238,f325]) ).
fof(f384,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(inverse(divide(X0,X1)),X2),multiply(multiply(X3,divide(divide(divide(X4,X4),X3),X0)),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f383]) ).
fof(f918,plain,
! [X0,X1,X2,X3,X4,X5,X6] : X0 = inverse(divide(multiply(divide(X1,X1),X2),divide(divide(X0,X3),divide(inverse(X2),divide(inverse(divide(divide(divide(X4,X4),X5),divide(X3,divide(X5,X6)))),X6))))),
inference(paramodulation,[status(thm)],[f13,f25]) ).
fof(f919,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(X1,X1),X2),divide(divide(X0,X3),divide(inverse(X2),X3)))),
inference(forward_demodulation,[status(thm)],[f4,f918]) ).
fof(f1127,plain,
! [X0,X1,X2,X3] : inverse(divide(multiply(divide(X0,X0),X1),X2)) = inverse(divide(multiply(divide(X3,X3),X1),X2)),
inference(paramodulation,[status(thm)],[f330,f919]) ).
fof(f1288,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,divide(multiply(divide(X1,X1),X2),X3)) = divide(X0,inverse(divide(multiply(divide(X4,X4),X2),X3))),
inference(paramodulation,[status(thm)],[f1127,f5]) ).
fof(f1316,plain,
! [X0,X1,X2,X3,X4,X5,X6] : X0 = inverse(divide(divide(divide(X1,X1),X2),divide(divide(X0,X3),divide(X2,divide(inverse(divide(divide(divide(X4,X4),X5),divide(X3,divide(X5,X6)))),X6))))),
inference(paramodulation,[status(thm)],[f13,f26]) ).
fof(f1317,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(divide(divide(X1,X1),X2),divide(divide(X0,X3),divide(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f4,f1316]) ).
fof(f1679,plain,
! [X0,X1,X2,X3] : divide(multiply(X0,X1),multiply(X2,X1)) = divide(divide(X0,X3),divide(X2,X3)),
inference(paramodulation,[status(thm)],[f1317,f325]) ).
fof(f1680,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X1),divide(X2,X1)) = divide(divide(X0,X3),divide(X2,X3)),
inference(paramodulation,[status(thm)],[f1317,f238]) ).
fof(f1841,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(divide(multiply(divide(X0,X0),X1),multiply(X2,X1))),X3),divide(X4,X3)) = divide(X2,X4),
inference(paramodulation,[status(thm)],[f1679,f238]) ).
fof(f2038,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,X1))),X3),multiply(X4,X3)) = divide(X2,X4),
inference(paramodulation,[status(thm)],[f1680,f325]) ).
fof(f28592,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = divide(X0,multiply(X2,divide(divide(divide(X3,X3),X2),divide(divide(X4,X4),X1)))),
inference(paramodulation,[status(thm)],[f384,f2038]) ).
fof(f29233,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = divide(X0,multiply(X1,divide(divide(divide(X2,X2),X3),divide(divide(X4,X4),X3)))),
inference(paramodulation,[status(thm)],[f1680,f28592]) ).
fof(f29964,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(X0,inverse(divide(multiply(divide(X1,X1),X2),divide(X3,multiply(inverse(X2),divide(divide(divide(X4,X4),X5),divide(divide(X6,X6),X5))))))) = divide(X0,X3),
inference(paramodulation,[status(thm)],[f17,f29233]) ).
fof(f29965,plain,
! [X0,X1,X2,X3] : divide(X0,inverse(divide(multiply(divide(X1,X1),X2),divide(X3,inverse(X2))))) = divide(X0,X3),
inference(forward_demodulation,[status(thm)],[f29233,f29964]) ).
fof(f29966,plain,
! [X0,X1,X2,X3] : divide(X0,inverse(divide(multiply(divide(X1,X1),X2),multiply(X3,X2)))) = divide(X0,X3),
inference(forward_demodulation,[status(thm)],[f5,f29965]) ).
fof(f33259,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(multiply(divide(X1,X1),X2),multiply(X3,X2))) = divide(X0,X3),
inference(paramodulation,[status(thm)],[f1288,f29966]) ).
fof(f33886,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(divide(X1,X1),X2),divide(X3,X2))) = divide(X0,X3),
inference(paramodulation,[status(thm)],[f1679,f33259]) ).
fof(f35456,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(X0,divide(X1,divide(X2,X2))),
inference(backward_demodulation,[status(thm)],[f33886,f29233]) ).
fof(f36192,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(X0,divide(X1,multiply(inverse(X2),X2))),
inference(paramodulation,[status(thm)],[f5,f35456]) ).
fof(f36235,plain,
! [X0,X1,X2] : X0 = inverse(divide(multiply(divide(X1,X1),X2),divide(X0,inverse(X2)))),
inference(paramodulation,[status(thm)],[f35456,f919]) ).
fof(f36236,plain,
! [X0,X1,X2] : X0 = inverse(divide(multiply(divide(X1,X1),X2),multiply(X0,X2))),
inference(forward_demodulation,[status(thm)],[f5,f36235]) ).
fof(f37668,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(X2,X1)) = divide(X0,X2),
inference(backward_demodulation,[status(thm)],[f36236,f1841]) ).
fof(f37957,plain,
! [X0,X1,X2] : X0 = inverse(divide(divide(divide(X1,X1),X2),divide(X0,X2))),
inference(backward_demodulation,[status(thm)],[f37668,f1317]) ).
fof(f37958,plain,
! [X0,X1] : X0 = inverse(divide(divide(X1,X1),X0)),
inference(forward_demodulation,[status(thm)],[f37668,f37957]) ).
fof(f38559,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(paramodulation,[status(thm)],[f37668,f37958]) ).
fof(f38830,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f37958,f38559]) ).
fof(f38907,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f36192,f38830]) ).
fof(f38981,plain,
! [X0,X1] : divide(X0,X0) = inverse(divide(X1,X1)),
inference(paramodulation,[status(thm)],[f38830,f37958]) ).
fof(f39833,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f36236,f38981]) ).
fof(f40254,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f38907,f39833]) ).
fof(f41928,plain,
! [X0] : multiply(inverse(a1),a1) != divide(X0,X0),
inference(paramodulation,[status(thm)],[f40254,f6]) ).
fof(f41929,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f41928,f40254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP478-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n018.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 11:35:10 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 8.27/1.42 % Refutation found
% 8.27/1.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.27/1.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.02/1.50 % Elapsed time: 1.161100 seconds
% 9.02/1.50 % CPU time: 8.689252 seconds
% 9.02/1.50 % Memory used: 168.960 MB
%------------------------------------------------------------------------------