TSTP Solution File: GRP475-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP475-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 150.74s 19.34s
% Output : CNFRefutation 153.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 3
% Syntax : Number of formulae : 69 ( 69 unt; 0 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 12 ( 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 : 273 (; 273 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : divide(inverse(divide(divide(divide(A,B),C),divide(D,C))),divide(B,A)) = D,
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,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
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] : divide(inverse(divide(multiply(divide(X0,X1),X2),divide(X3,inverse(X2)))),divide(X1,X0)) = X3,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X1),X2),multiply(X3,X2))),divide(X1,X0)) = X3,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),divide(divide(X3,X4),inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))))) = X2,
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),multiply(divide(X3,X4),divide(divide(divide(X4,X3),X5),divide(X0,X5)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f9]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = inverse(divide(divide(divide(X3,X2),X5),divide(X4,X5))),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f64,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(multiply(divide(multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2))),inverse(divide(divide(X3,X4),divide(X5,X4)))),X6),multiply(X7,X6))),X5) = X7,
inference(paramodulation,[status(thm)],[f10,f8]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(multiply(multiply(multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2))),divide(divide(X3,X4),divide(X5,X4))),X6),multiply(X7,X6))),X5) = X7,
inference(forward_demodulation,[status(thm)],[f5,f64]) ).
fof(f226,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(divide(divide(X1,X2),X3),divide(divide(X0,divide(X2,X1)),X3))),
inference(paramodulation,[status(thm)],[f4,f12]) ).
fof(f367,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)),divide(X2,X3)) = X4,
inference(paramodulation,[status(thm)],[f12,f4]) ).
fof(f494,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(X1,X2),X3),divide(divide(X0,divide(X2,X1)),inverse(X3)))),
inference(paramodulation,[status(thm)],[f5,f226]) ).
fof(f495,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(X1,X2),X3),multiply(divide(X0,divide(X2,X1)),X3))),
inference(forward_demodulation,[status(thm)],[f5,f494]) ).
fof(f552,plain,
! [X0,X1,X2,X3,X4,X5] : divide(X0,multiply(divide(X1,X2),divide(divide(divide(X2,X1),X3),divide(divide(X4,X5),X3)))) = divide(X0,divide(X5,X4)),
inference(paramodulation,[status(thm)],[f226,f10]) ).
fof(f610,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(inverse(X1),X2),X3),multiply(divide(X0,multiply(X2,X1)),X3))),
inference(paramodulation,[status(thm)],[f5,f495]) ).
fof(f760,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(multiply(divide(inverse(divide(divide(divide(X3,X4),X5),divide(X0,X5))),divide(X4,X3)),X6),multiply(X2,X6))),
inference(paramodulation,[status(thm)],[f10,f610]) ).
fof(f761,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(multiply(X0,X3),multiply(X2,X3))),
inference(forward_demodulation,[status(thm)],[f4,f760]) ).
fof(f5019,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),divide(divide(inverse(divide(divide(divide(X4,X5),divide(X6,X7)),X2)),divide(X5,X4)),divide(X6,X7))) = X3,
inference(paramodulation,[status(thm)],[f367,f367]) ).
fof(f5020,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),X2) = X3,
inference(forward_demodulation,[status(thm)],[f367,f5019]) ).
fof(f5297,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(divide(divide(divide(X0,X1),inverse(X2)),X3)),divide(X1,X0)),X2) = X3,
inference(paramodulation,[status(thm)],[f5,f5020]) ).
fof(f5298,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(divide(multiply(divide(X0,X1),X2),X3)),divide(X1,X0)),X2) = X3,
inference(forward_demodulation,[status(thm)],[f5,f5297]) ).
fof(f5306,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(multiply(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),X2) = inverse(X3),
inference(paramodulation,[status(thm)],[f5,f5020]) ).
fof(f8734,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(multiply(multiply(divide(X0,X1),X2),X3)),divide(X1,X0)),X2) = inverse(X3),
inference(paramodulation,[status(thm)],[f5,f5298]) ).
fof(f8802,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(divide(multiply(multiply(X0,X1),X2),X3)),divide(inverse(X1),X0)),X2) = X3,
inference(paramodulation,[status(thm)],[f5,f5298]) ).
fof(f9123,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(divide(inverse(X0),X1)),divide(divide(X2,X3),inverse(multiply(divide(divide(X3,X2),X4),X0)))),X4) = X1,
inference(paramodulation,[status(thm)],[f5306,f5020]) ).
fof(f9124,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(divide(inverse(X0),X1)),multiply(divide(X2,X3),multiply(divide(divide(X3,X2),X4),X0))),X4) = X1,
inference(forward_demodulation,[status(thm)],[f5,f9123]) ).
fof(f10092,plain,
! [X0,X1,X2,X3,X4] : X0 = inverse(divide(inverse(X1),multiply(divide(X0,multiply(divide(X2,X3),multiply(multiply(divide(X3,X2),X4),X1))),X4))),
inference(paramodulation,[status(thm)],[f8734,f610]) ).
fof(f10270,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(divide(multiply(multiply(inverse(X0),X1),X2),X3)),multiply(inverse(X1),X0)),X2) = X3,
inference(paramodulation,[status(thm)],[f5,f8802]) ).
fof(f61153,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(divide(inverse(divide(multiply(multiply(inverse(X0),X1),X2),divide(X3,X4))),multiply(inverse(X1),X0)),X2) = multiply(divide(X5,X6),divide(divide(divide(X6,X5),X7),divide(divide(X4,X3),X7))),
inference(paramodulation,[status(thm)],[f552,f10270]) ).
fof(f61154,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = multiply(divide(X2,X3),divide(divide(divide(X3,X2),X4),divide(divide(X1,X0),X4))),
inference(forward_demodulation,[status(thm)],[f10270,f61153]) ).
fof(f62161,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = multiply(multiply(X2,X3),divide(divide(divide(inverse(X3),X2),X4),divide(divide(X1,X0),X4))),
inference(paramodulation,[status(thm)],[f5,f61154]) ).
fof(f69240,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : divide(inverse(divide(divide(X0,X1),multiply(X2,divide(divide(divide(inverse(divide(divide(X3,X4),divide(X5,X4))),multiply(divide(X6,X7),divide(divide(divide(X7,X6),X8),divide(X3,X8)))),X9),divide(divide(X1,X0),X9))))),X5) = X2,
inference(paramodulation,[status(thm)],[f62161,f65]) ).
fof(f69241,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(divide(X0,X1),multiply(X2,divide(divide(X3,X4),divide(divide(X1,X0),X4))))),X3) = X2,
inference(forward_demodulation,[status(thm)],[f10,f69240]) ).
fof(f76268,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(X0,X1),divide(X0,X1))),divide(X2,X3)) = divide(X3,X2),
inference(paramodulation,[status(thm)],[f61154,f69241]) ).
fof(f77383,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(divide(X0,divide(divide(inverse(divide(inverse(X1),X0)),multiply(divide(X2,X3),multiply(divide(divide(X3,X2),X4),X1))),X4))),divide(X5,X6)) = divide(X6,X5),
inference(paramodulation,[status(thm)],[f9124,f76268]) ).
fof(f77384,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X0)),divide(X1,X2)) = divide(X2,X1),
inference(forward_demodulation,[status(thm)],[f9124,f77383]) ).
fof(f78798,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(X0,X0)),divide(X1,X2)) = divide(divide(X2,X1),inverse(divide(X3,X3))),
inference(paramodulation,[status(thm)],[f77384,f77384]) ).
fof(f78799,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(divide(X0,X1),inverse(divide(X2,X2))),
inference(forward_demodulation,[status(thm)],[f77384,f78798]) ).
fof(f78800,plain,
! [X0,X1,X2] : divide(X0,X1) = multiply(divide(X0,X1),divide(X2,X2)),
inference(forward_demodulation,[status(thm)],[f5,f78799]) ).
fof(f78801,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X0)),multiply(X1,X2)) = divide(inverse(X2),X1),
inference(paramodulation,[status(thm)],[f5,f77384]) ).
fof(f79521,plain,
! [X0,X1,X2,X3,X4,X5] : divide(divide(inverse(divide(inverse(X0),X1)),multiply(divide(X2,X3),multiply(divide(divide(X3,X2),X4),X0))),X4) = multiply(X1,divide(X5,X5)),
inference(paramodulation,[status(thm)],[f9124,f78800]) ).
fof(f79522,plain,
! [X0,X1] : X0 = multiply(X0,divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f9124,f79521]) ).
fof(f79722,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(divide(inverse(X1),X2),multiply(divide(X0,multiply(X2,X1)),divide(X3,X3)))),
inference(paramodulation,[status(thm)],[f78800,f610]) ).
fof(f79723,plain,
! [X0,X1,X2] : X0 = inverse(divide(divide(inverse(X1),X2),divide(X0,multiply(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f78800,f79722]) ).
fof(f79742,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(X1,X2),divide(X3,X3)),divide(X0,divide(X2,X1)))),
inference(paramodulation,[status(thm)],[f78800,f495]) ).
fof(f79743,plain,
! [X0,X1,X2] : X0 = inverse(divide(divide(X1,X2),divide(X0,divide(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f78800,f79742]) ).
fof(f80520,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(multiply(X0,divide(X3,X3)),X2)),
inference(paramodulation,[status(thm)],[f79522,f761]) ).
fof(f80521,plain,
! [X0,X1,X2] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(X0,X2)),
inference(forward_demodulation,[status(thm)],[f79522,f80520]) ).
fof(f205930,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(X0,X0)) = inverse(divide(inverse(X1),multiply(divide(inverse(multiply(multiply(divide(X2,X3),X4),X1)),divide(X3,X2)),X4))),
inference(paramodulation,[status(thm)],[f78801,f10092]) ).
fof(f205931,plain,
! [X0,X1] : inverse(divide(X0,X0)) = inverse(divide(inverse(X1),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f8734,f205930]) ).
fof(f205932,plain,
! [X0,X1] : inverse(divide(X0,X0)) = inverse(multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f5,f205931]) ).
fof(f208744,plain,
! [X0,X1] : inverse(divide(X0,X0)) = inverse(inverse(divide(X1,X1))),
inference(paramodulation,[status(thm)],[f79522,f205932]) ).
fof(f209627,plain,
! [X0,X1] : inverse(inverse(divide(X0,X0))) = inverse(inverse(divide(X1,X1))),
inference(paramodulation,[status(thm)],[f208744,f208744]) ).
fof(f245860,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = inverse(divide(divide(X3,X2),X4)),
inference(backward_demodulation,[status(thm)],[f80521,f12]) ).
fof(f245944,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(inverse(X0),X1),divide(X2,multiply(X1,X0)))) = inverse(divide(inverse(divide(X3,X3)),X2)),
inference(paramodulation,[status(thm)],[f78801,f80521]) ).
fof(f245945,plain,
! [X0,X1] : X0 = inverse(divide(inverse(divide(X1,X1)),X0)),
inference(forward_demodulation,[status(thm)],[f79723,f245944]) ).
fof(f247500,plain,
! [X0,X1,X2,X3] : divide(X0,X1) = inverse(inverse(divide(divide(X2,X3),divide(divide(X1,X0),divide(X3,X2))))),
inference(paramodulation,[status(thm)],[f245860,f245945]) ).
fof(f247501,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f79743,f247500]) ).
fof(f247726,plain,
! [X0,X1] : inverse(inverse(divide(X0,X0))) = inverse(divide(X1,X1)),
inference(backward_demodulation,[status(thm)],[f247501,f209627]) ).
fof(f247727,plain,
! [X0,X1] : inverse(divide(X0,X0)) = inverse(divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f247501,f247726]) ).
fof(f247728,plain,
! [X0,X1] : divide(X0,X0) = inverse(divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f247501,f247727]) ).
fof(f247729,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(forward_demodulation,[status(thm)],[f247501,f247728]) ).
fof(f247800,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f5,f247729]) ).
fof(f248111,plain,
! [X0] : multiply(inverse(a1),a1) != divide(X0,X0),
inference(paramodulation,[status(thm)],[f247800,f6]) ).
fof(f248112,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f248111,f247800]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP475-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:29:57 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 150.74/19.34 % Refutation found
% 150.74/19.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 150.74/19.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 153.94/19.72 % Elapsed time: 19.337574 seconds
% 153.94/19.72 % CPU time: 152.897439 seconds
% 153.94/19.72 % Memory used: 1.875 GB
%------------------------------------------------------------------------------