TSTP Solution File: GRP479-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP479-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 : Tue Apr 30 20:20:45 EDT 2024
% Result : Unsatisfiable 2.76s 0.70s
% Output : CNFRefutation 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 3
% Syntax : Number of formulae : 98 ( 98 unt; 0 def)
% Number of atoms : 98 ( 97 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 351 ( 351 !; 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(multiply(inverse(b2),b2),a2) != a2,
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(multiply(inverse(b2),b2),a2) != a2,
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(f10,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(multiply(inverse(X0),X0),X1),divide(X2,divide(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(f18,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(f19,plain,
! [X0,X1,X2,X3] : multiply(inverse(divide(divide(multiply(inverse(X0),X0),X1),divide(X2,multiply(X1,X3)))),X3) = X2,
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f26,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(f81,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,divide(X3,X4))))) = divide(inverse(divide(divide(divide(b2,b2),X3),X2)),X4),
inference(equality_split,[status(esa)],[f11]) ).
fof(f105,plain,
! [X0,X1,X2] : divide(divide(inverse(divide(divide(divide(b2,b2),X0),X1)),X2),divide(X0,X2)) = X1,
inference(paramodulation,[status(thm)],[f81,f4]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : divide(inverse(divide(multiply(divide(X0,X0),divide(divide(divide(X1,X1),X2),X3)),divide(X4,inverse(divide(multiply(divide(X5,X5),divide(divide(divide(X6,X6),X7),divide(X8,divide(X7,divide(X2,X9))))),divide(X3,X8)))))),X9) = X4,
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : divide(inverse(divide(multiply(divide(X0,X0),divide(divide(divide(X1,X1),X2),X3)),multiply(X4,divide(multiply(divide(X5,X5),divide(divide(divide(X6,X6),X7),divide(X8,divide(X7,divide(X2,X9))))),divide(X3,X8))))),X9) = X4,
inference(forward_demodulation,[status(thm)],[f5,f116]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(multiply(divide(X0,X0),divide(divide(divide(X1,X1),X2),X3)),divide(X4,inverse(divide(divide(multiply(inverse(X5),X5),X6),divide(X3,divide(X6,divide(X2,X7)))))))),X7) = X4,
inference(paramodulation,[status(thm)],[f10,f13]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(multiply(divide(X0,X0),divide(divide(divide(X1,X1),X2),X3)),multiply(X4,divide(divide(multiply(inverse(X5),X5),X6),divide(X3,divide(X6,divide(X2,X7))))))),X7) = X4,
inference(forward_demodulation,[status(thm)],[f5,f120]) ).
fof(f160,plain,
! [X0,X1,X2] : divide(multiply(inverse(divide(divide(divide(b2,b2),X0),X1)),X2),divide(X0,inverse(X2))) = X1,
inference(paramodulation,[status(thm)],[f5,f105]) ).
fof(f161,plain,
! [X0,X1,X2] : divide(multiply(inverse(divide(divide(divide(b2,b2),X0),X1)),X2),multiply(X0,X2)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f160]) ).
fof(f164,plain,
! [X0,X1,X2] : divide(divide(inverse(divide(multiply(divide(b2,b2),X0),X1)),X2),divide(inverse(X0),X2)) = X1,
inference(paramodulation,[status(thm)],[f5,f105]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(divide(divide(X0,X0),X1),X2)) = divide(inverse(divide(divide(divide(b2,b2),X3),divide(inverse(divide(divide(divide(b2,b2),X1),X2)),divide(X3,X4)))),X4),
inference(paramodulation,[status(thm)],[f105,f81]) ).
fof(f187,plain,
! [X0,X1,X2] : inverse(divide(divide(divide(X0,X0),X1),X2)) = inverse(divide(divide(divide(b2,b2),X1),X2)),
inference(forward_demodulation,[status(thm)],[f4,f186]) ).
fof(f367,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(divide(divide(X0,X0),inverse(X1)),X2)) = divide(inverse(divide(divide(divide(b2,b2),X3),divide(inverse(divide(multiply(divide(b2,b2),X1),X2)),divide(X3,X4)))),X4),
inference(paramodulation,[status(thm)],[f164,f81]) ).
fof(f368,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(multiply(divide(X0,X0),X1),X2)) = divide(inverse(divide(divide(divide(b2,b2),X3),divide(inverse(divide(multiply(divide(b2,b2),X1),X2)),divide(X3,X4)))),X4),
inference(forward_demodulation,[status(thm)],[f5,f367]) ).
fof(f369,plain,
! [X0,X1,X2] : inverse(divide(multiply(divide(X0,X0),X1),X2)) = inverse(divide(multiply(divide(b2,b2),X1),X2)),
inference(forward_demodulation,[status(thm)],[f4,f368]) ).
fof(f397,plain,
! [X0,X1,X2] : inverse(divide(divide(multiply(inverse(X0),X0),X1),X2)) = inverse(divide(divide(divide(b2,b2),X1),X2)),
inference(paramodulation,[status(thm)],[f5,f187]) ).
fof(f416,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(divide(X1,X1),X2),X3)) = divide(X0,inverse(divide(divide(divide(b2,b2),X2),X3))),
inference(paramodulation,[status(thm)],[f187,f5]) ).
fof(f417,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(divide(X1,X1),X2),X3)) = multiply(X0,divide(divide(divide(b2,b2),X2),X3)),
inference(forward_demodulation,[status(thm)],[f5,f416]) ).
fof(f418,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),multiply(X1,X3)) = X2,
inference(paramodulation,[status(thm)],[f187,f161]) ).
fof(f456,plain,
! [X0,X1,X2,X3,X4,X5] : divide(multiply(inverse(divide(divide(divide(X0,X0),inverse(divide(divide(divide(X1,X1),X2),divide(X3,multiply(X2,X4))))),X5)),X4),X3) = X5,
inference(paramodulation,[status(thm)],[f8,f418]) ).
fof(f457,plain,
! [X0,X1,X2,X3,X4,X5] : divide(multiply(inverse(divide(multiply(divide(X0,X0),divide(divide(divide(X1,X1),X2),divide(X3,multiply(X2,X4)))),X5)),X4),X3) = X5,
inference(forward_demodulation,[status(thm)],[f5,f456]) ).
fof(f458,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(divide(X0,divide(X1,multiply(multiply(X2,divide(divide(divide(X3,X3),X2),X0)),X4)))),X4) = X1,
inference(paramodulation,[status(thm)],[f418,f19]) ).
fof(f710,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3) = divide(inverse(divide(multiply(divide(b2,b2),X1),X2)),X3),
inference(equality_split,[status(esa)],[f26]) ).
fof(f824,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)],[f369,f369]) ).
fof(f849,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(multiply(divide(X1,X1),X2),X3)) = divide(X0,inverse(divide(multiply(divide(b2,b2),X2),X3))),
inference(paramodulation,[status(thm)],[f369,f5]) ).
fof(f850,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(multiply(divide(X1,X1),X2),X3)) = multiply(X0,divide(multiply(divide(b2,b2),X2),X3)),
inference(forward_demodulation,[status(thm)],[f5,f849]) ).
fof(f881,plain,
! [X0,X1,X2] : inverse(divide(multiply(divide(X0,X0),X1),X2)) = inverse(divide(multiply(divide(b2,b2),X1),X2)),
inference(equality_split,[status(esa)],[f824]) ).
fof(f1513,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(multiply(inverse(X1),X1),X2),X3)) = divide(X0,inverse(divide(divide(divide(b2,b2),X2),X3))),
inference(paramodulation,[status(thm)],[f397,f5]) ).
fof(f1514,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(multiply(inverse(X1),X1),X2),X3)) = multiply(X0,divide(divide(divide(b2,b2),X2),X3)),
inference(forward_demodulation,[status(thm)],[f5,f1513]) ).
fof(f1544,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,divide(divide(divide(X1,X1),X2),X3)) = multiply(X0,divide(divide(divide(X4,X4),X2),X3)),
inference(paramodulation,[status(thm)],[f417,f417]) ).
fof(f1715,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(divide(X1,X1),X2),X3)) = multiply(X0,divide(divide(divide(b2,b2),X2),X3)),
inference(equality_split,[status(esa)],[f1544]) ).
fof(f1717,plain,
! [X0,X1,X2,X3] : multiply(inverse(divide(X0,divide(X1,multiply(multiply(X2,divide(divide(divide(b2,b2),X2),X0)),X3)))),X3) = X1,
inference(forward_demodulation,[status(thm)],[f1715,f458]) ).
fof(f1741,plain,
! [X0,X1,X2,X3,X4] : divide(X0,multiply(X1,X2)) = divide(X0,multiply(multiply(X3,divide(divide(divide(b2,b2),X3),divide(divide(X4,X4),X1))),X2)),
inference(paramodulation,[status(thm)],[f1717,f418]) ).
fof(f2270,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,divide(multiply(divide(X1,X1),X2),X3)) = multiply(X0,divide(multiply(divide(X4,X4),X2),X3)),
inference(paramodulation,[status(thm)],[f850,f850]) ).
fof(f2428,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(multiply(divide(X1,X1),X2),X3)) = multiply(X0,divide(multiply(divide(b2,b2),X2),X3)),
inference(equality_split,[status(esa)],[f2270]) ).
fof(f4696,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : divide(inverse(divide(multiply(divide(b2,b2),divide(divide(divide(X0,X0),X1),X2)),multiply(X3,divide(multiply(divide(X4,X4),divide(divide(divide(X5,X5),X6),divide(X7,divide(X6,divide(X1,X8))))),divide(X2,X7))))),X8) = X3,
inference(forward_demodulation,[status(thm)],[f710,f117]) ).
fof(f4697,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(multiply(divide(b2,b2),divide(divide(divide(b2,b2),X0),X1)),multiply(X2,divide(multiply(divide(X3,X3),divide(divide(divide(X4,X4),X5),divide(X6,divide(X5,divide(X0,X7))))),divide(X1,X6))))),X7) = X2,
inference(forward_demodulation,[status(thm)],[f1715,f4696]) ).
fof(f4698,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(divide(multiply(divide(b2,b2),divide(divide(divide(b2,b2),X0),X1)),multiply(X2,divide(multiply(divide(b2,b2),divide(divide(divide(X3,X3),X4),divide(X5,divide(X4,divide(X0,X6))))),divide(X1,X5))))),X6) = X2,
inference(forward_demodulation,[status(thm)],[f2428,f4697]) ).
fof(f4699,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(b2,b2),divide(divide(divide(b2,b2),X0),X1)),multiply(X2,divide(multiply(divide(b2,b2),divide(divide(divide(b2,b2),X3),divide(X4,divide(X3,divide(X0,X5))))),divide(X1,X4))))),X5) = X2,
inference(forward_demodulation,[status(thm)],[f1715,f4698]) ).
fof(f5171,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(divide(multiply(divide(b2,b2),divide(divide(divide(X0,X0),X1),X2)),multiply(X3,divide(divide(multiply(inverse(X4),X4),X5),divide(X2,divide(X5,divide(X1,X6))))))),X6) = X3,
inference(forward_demodulation,[status(thm)],[f710,f121]) ).
fof(f5172,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(b2,b2),divide(divide(divide(b2,b2),X0),X1)),multiply(X2,divide(divide(multiply(inverse(X3),X3),X4),divide(X1,divide(X4,divide(X0,X5))))))),X5) = X2,
inference(forward_demodulation,[status(thm)],[f1715,f5171]) ).
fof(f5173,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(multiply(divide(b2,b2),divide(divide(divide(b2,b2),X0),X1)),multiply(X2,divide(divide(divide(b2,b2),X3),divide(X1,divide(X3,divide(X0,X4))))))),X4) = X2,
inference(forward_demodulation,[status(thm)],[f1514,f5172]) ).
fof(f8730,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(inverse(divide(multiply(divide(b2,b2),divide(divide(divide(X0,X0),X1),divide(X2,multiply(X1,X3)))),X4)),X3),X2) = X4,
inference(forward_demodulation,[status(thm)],[f881,f457]) ).
fof(f8731,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(divide(multiply(divide(b2,b2),divide(divide(divide(b2,b2),X0),divide(X1,multiply(X0,X2)))),X3)),X2),X1) = X3,
inference(forward_demodulation,[status(thm)],[f1715,f8730]) ).
fof(f9717,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(divide(multiply(divide(b2,b2),divide(divide(divide(b2,b2),X0),X1)),multiply(X2,divide(divide(divide(b2,b2),X3),divide(X1,divide(X3,divide(X0,X4))))))),X4) = multiply(X5,divide(divide(divide(b2,b2),X5),divide(divide(X6,X6),X2))),
inference(paramodulation,[status(thm)],[f1741,f5173]) ).
fof(f9718,plain,
! [X0,X1,X2] : X0 = multiply(X1,divide(divide(divide(b2,b2),X1),divide(divide(X2,X2),X0))),
inference(forward_demodulation,[status(thm)],[f5173,f9717]) ).
fof(f10005,plain,
! [X0,X1,X2] : inverse(X0) = multiply(X1,divide(divide(divide(b2,b2),X1),multiply(divide(X2,X2),X0))),
inference(paramodulation,[status(thm)],[f5,f9718]) ).
fof(f10006,plain,
! [X0,X1,X2] : X0 = multiply(X1,divide(divide(divide(b2,b2),X1),divide(multiply(inverse(X2),X2),X0))),
inference(paramodulation,[status(thm)],[f5,f9718]) ).
fof(f10010,plain,
! [X0,X1,X2] : divide(multiply(inverse(divide(multiply(divide(b2,b2),X0),X1)),X0),divide(X2,X2)) = X1,
inference(paramodulation,[status(thm)],[f9718,f8731]) ).
fof(f10990,plain,
! [X0,X1,X2] : divide(X0,divide(X1,X1)) = divide(X0,multiply(inverse(X2),X2)),
inference(paramodulation,[status(thm)],[f18,f10010]) ).
fof(f11103,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X1)) = divide(X0,divide(b2,b2)),
inference(equality_split,[status(esa)],[f10990]) ).
fof(f11221,plain,
! [X0,X1,X2] : multiply(inverse(X0),X0) = multiply(X1,divide(divide(divide(b2,b2),X1),divide(multiply(inverse(X2),X2),divide(b2,b2)))),
inference(paramodulation,[status(thm)],[f11103,f10006]) ).
fof(f11222,plain,
! [X0] : multiply(inverse(X0),X0) = divide(b2,b2),
inference(forward_demodulation,[status(thm)],[f10006,f11221]) ).
fof(f11519,plain,
multiply(divide(b2,b2),a2) != a2,
inference(backward_demodulation,[status(thm)],[f11222,f6]) ).
fof(f11551,plain,
! [X0,X1,X2] : divide(divide(b2,b2),multiply(X0,divide(divide(divide(X1,X1),X0),X2))) = X2,
inference(paramodulation,[status(thm)],[f11222,f418]) ).
fof(f11552,plain,
! [X0,X1] : divide(divide(b2,b2),multiply(X0,divide(divide(divide(b2,b2),X0),X1))) = X1,
inference(forward_demodulation,[status(thm)],[f1715,f11551]) ).
fof(f11884,plain,
! [X0,X1] : divide(divide(b2,b2),inverse(X0)) = multiply(divide(X1,X1),X0),
inference(paramodulation,[status(thm)],[f10005,f11552]) ).
fof(f11885,plain,
! [X0,X1] : multiply(divide(b2,b2),X0) = multiply(divide(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f5,f11884]) ).
fof(f11997,plain,
! [X0] : multiply(divide(X0,X0),a2) != a2,
inference(paramodulation,[status(thm)],[f11885,f11519]) ).
fof(f12098,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(b2,b2),divide(divide(divide(b2,b2),X0),X1)),multiply(divide(X2,X2),divide(multiply(divide(b2,b2),divide(divide(divide(b2,b2),X3),divide(X4,divide(X3,divide(X0,X5))))),divide(X1,X4))))),X5) = divide(b2,b2),
inference(paramodulation,[status(thm)],[f11885,f4699]) ).
fof(f12099,plain,
! [X0] : divide(X0,X0) = divide(b2,b2),
inference(forward_demodulation,[status(thm)],[f4699,f12098]) ).
fof(f12223,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f12099,f12099]) ).
fof(f12274,plain,
! [X0] : X0 = multiply(X0,divide(b2,b2)),
inference(paramodulation,[status(thm)],[f12099,f9718]) ).
fof(f12704,plain,
! [X0] : divide(X0,X0) = divide(b2,b2),
inference(equality_split,[status(esa)],[f12223]) ).
fof(f12720,plain,
! [X0,X1,X2] : inverse(divide(multiply(divide(X0,X0),X1),divide(X2,multiply(inverse(X1),divide(b2,b2))))) = X2,
inference(paramodulation,[status(thm)],[f18,f12274]) ).
fof(f12721,plain,
! [X0,X1] : inverse(divide(multiply(divide(b2,b2),X0),divide(X1,multiply(inverse(X0),divide(b2,b2))))) = X1,
inference(forward_demodulation,[status(thm)],[f881,f12720]) ).
fof(f12722,plain,
! [X0,X1] : inverse(divide(multiply(divide(b2,b2),X0),divide(X1,inverse(X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f12274,f12721]) ).
fof(f12723,plain,
! [X0,X1] : inverse(divide(multiply(divide(b2,b2),X0),multiply(X1,X0))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f12722]) ).
fof(f12731,plain,
inverse(divide(b2,b2)) = divide(b2,b2),
inference(paramodulation,[status(thm)],[f11222,f12274]) ).
fof(f12994,plain,
! [X0] : multiply(X0,divide(b2,b2)) = divide(X0,divide(b2,b2)),
inference(paramodulation,[status(thm)],[f12731,f5]) ).
fof(f12995,plain,
! [X0] : X0 = divide(X0,divide(b2,b2)),
inference(forward_demodulation,[status(thm)],[f12274,f12994]) ).
fof(f13576,plain,
! [X0] : inverse(divide(divide(b2,b2),multiply(X0,divide(b2,b2)))) = X0,
inference(paramodulation,[status(thm)],[f12274,f12723]) ).
fof(f13577,plain,
! [X0] : inverse(divide(divide(b2,b2),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f12274,f13576]) ).
fof(f13602,plain,
! [X0] : inverse(divide(multiply(divide(b2,b2),X0),divide(b2,b2))) = inverse(X0),
inference(paramodulation,[status(thm)],[f11222,f12723]) ).
fof(f13603,plain,
! [X0] : inverse(multiply(divide(b2,b2),X0)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f12995,f13602]) ).
fof(f13742,plain,
! [X0,X1] : inverse(X0) = inverse(divide(divide(divide(b2,b2),divide(b2,b2)),divide(divide(X1,X1),X0))),
inference(paramodulation,[status(thm)],[f9718,f13603]) ).
fof(f13743,plain,
! [X0,X1] : inverse(X0) = inverse(divide(divide(b2,b2),divide(divide(X1,X1),X0))),
inference(forward_demodulation,[status(thm)],[f12995,f13742]) ).
fof(f13744,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f13577,f13743]) ).
fof(f13745,plain,
! [X0] : inverse(X0) = divide(divide(b2,b2),X0),
inference(forward_demodulation,[status(thm)],[f12704,f13744]) ).
fof(f13815,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f13745,f13577]) ).
fof(f14012,plain,
! [X0] : inverse(inverse(X0)) = multiply(divide(b2,b2),X0),
inference(paramodulation,[status(thm)],[f13603,f13815]) ).
fof(f14013,plain,
! [X0] : X0 = multiply(divide(b2,b2),X0),
inference(forward_demodulation,[status(thm)],[f13815,f14012]) ).
fof(f14238,plain,
$false,
inference(resolution,[status(thm)],[f14013,f11997]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP479-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n017.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 Apr 30 00:06:48 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.6.0
% 2.76/0.70 % Refutation found
% 2.76/0.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.76/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.00/0.75 % Elapsed time: 0.413852 seconds
% 3.00/0.75 % CPU time: 3.083392 seconds
% 3.00/0.75 % Total memory used: 100.245 MB
% 3.00/0.75 % Net memory used: 97.938 MB
%------------------------------------------------------------------------------