TSTP Solution File: GRP471-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP471-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:20:43 EDT 2024
% Result : Unsatisfiable 99.34s 12.83s
% Output : CNFRefutation 101.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 3
% Syntax : Number of formulae : 137 ( 137 unt; 0 def)
% Number of atoms : 137 ( 136 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 : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 513 ( 513 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : divide(inverse(divide(A,divide(B,divide(C,D)))),divide(divide(D,C),A)) = B,
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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X0)) = X1,
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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(X0),divide(divide(X1,X2),inverse(divide(divide(X2,X1),divide(X0,divide(X3,X4)))))) = divide(X4,X3),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(X0),multiply(divide(X1,X2),divide(divide(X2,X1),divide(X0,divide(X3,X4))))) = divide(X4,X3),
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(X0,X1)),divide(divide(X2,divide(X3,X4)),X0)) = inverse(divide(X2,divide(X1,divide(X4,X3)))),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(X0,divide(X1,multiply(X2,X3)))),divide(divide(inverse(X3),X2),X0)) = X1,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(inverse(X0),divide(X1,divide(X2,X3)))),multiply(divide(X3,X2),X0)) = X1,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(X0,divide(X1,divide(inverse(X2),X3)))),divide(multiply(X3,X2),X0)) = X1,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(inverse(X0),divide(X1,multiply(X2,X3)))),multiply(divide(inverse(X3),X2),X0)) = X1,
inference(paramodulation,[status(thm)],[f5,f12]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(inverse(X0),divide(X1,divide(multiply(divide(X2,X3),X4),inverse(divide(inverse(X4),divide(X5,divide(X3,X2)))))))),multiply(X5,X0)) = X1,
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(inverse(X0),divide(X1,multiply(multiply(divide(X2,X3),X4),divide(inverse(X4),divide(X5,divide(X3,X2))))))),multiply(X5,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f43]) ).
fof(f49,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(inverse(X0),divide(X1,divide(inverse(X2),X3)))),multiply(multiply(X3,X2),X0)) = X1,
inference(paramodulation,[status(thm)],[f5,f13]) ).
fof(f76,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(X0),multiply(divide(X1,X2),divide(divide(X2,X1),divide(X0,X3)))) = divide(multiply(divide(X4,X5),X6),inverse(divide(inverse(X6),divide(X3,divide(X5,X4))))),
inference(paramodulation,[status(thm)],[f13,f8]) ).
fof(f77,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(X0),multiply(divide(X1,X2),divide(divide(X2,X1),divide(X0,X3)))) = multiply(multiply(divide(X4,X5),X6),divide(inverse(X6),divide(X3,divide(X5,X4)))),
inference(forward_demodulation,[status(thm)],[f5,f76]) ).
fof(f82,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(X0),multiply(divide(X1,X2),divide(divide(X2,X1),divide(X0,divide(X3,X4))))) = divide(multiply(divide(X5,X6),divide(divide(X6,X5),divide(X7,divide(X4,X3)))),inverse(X7)),
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f83,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = divide(multiply(divide(X2,X3),divide(divide(X3,X2),divide(X4,divide(X0,X1)))),inverse(X4)),
inference(forward_demodulation,[status(thm)],[f8,f82]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = multiply(multiply(divide(X2,X3),divide(divide(X3,X2),divide(X4,divide(X0,X1)))),X4),
inference(forward_demodulation,[status(thm)],[f5,f83]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(X0,X1)),divide(divide(X2,multiply(X3,X4)),X0)) = inverse(divide(X2,divide(X1,divide(inverse(X4),X3)))),
inference(paramodulation,[status(thm)],[f16,f4]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(X0),multiply(divide(X1,X2),divide(divide(X2,X1),divide(X0,X3)))) = divide(divide(multiply(X4,X5),X6),inverse(divide(X6,divide(X3,divide(inverse(X5),X4))))),
inference(paramodulation,[status(thm)],[f16,f8]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(X0),multiply(divide(X1,X2),divide(divide(X2,X1),divide(X0,X3)))) = multiply(divide(multiply(X4,X5),X6),divide(X6,divide(X3,divide(inverse(X5),X4)))),
inference(forward_demodulation,[status(thm)],[f5,f120]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(X0,divide(X1,divide(divide(multiply(X2,X3),X4),inverse(divide(X4,divide(X5,divide(inverse(X3),X2)))))))),divide(X5,X0)) = X1,
inference(paramodulation,[status(thm)],[f16,f4]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(X0,divide(X1,multiply(divide(multiply(X2,X3),X4),divide(X4,divide(X5,divide(inverse(X3),X2))))))),divide(X5,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f130]) ).
fof(f233,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(inverse(X1),divide(divide(X0,multiply(divide(X2,X3),X1)),divide(X3,X2)))),
inference(paramodulation,[status(thm)],[f12,f9]) ).
fof(f234,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(X1,divide(divide(X0,divide(divide(X2,X3),X1)),divide(X3,X2)))),
inference(paramodulation,[status(thm)],[f4,f9]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(X0,X1)),divide(X2,X0)) = inverse(divide(inverse(divide(X3,divide(X2,multiply(X4,X5)))),divide(X1,divide(X3,divide(inverse(X5),X4))))),
inference(paramodulation,[status(thm)],[f12,f9]) ).
fof(f323,plain,
! [X0,X1,X2,X3] : X0 = inverse(inverse(divide(X0,divide(X1,divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2)))))),
inference(paramodulation,[status(thm)],[f9,f234]) ).
fof(f345,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(X1,divide(divide(X0,divide(multiply(X2,X3),X1)),divide(inverse(X3),X2)))),
inference(paramodulation,[status(thm)],[f5,f234]) ).
fof(f358,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = inverse(divide(X1,divide(divide(X0,divide(divide(divide(divide(X2,X3),X4),inverse(divide(X4,divide(X5,divide(X3,X2))))),X1)),X5))),
inference(paramodulation,[status(thm)],[f4,f234]) ).
fof(f359,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = inverse(divide(X1,divide(divide(X0,divide(multiply(divide(divide(X2,X3),X4),divide(X4,divide(X5,divide(X3,X2)))),X1)),X5))),
inference(forward_demodulation,[status(thm)],[f5,f358]) ).
fof(f381,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,divide(X1,divide(divide(X2,divide(divide(X3,X4),X1)),divide(X4,X3)))) = divide(X0,X2),
inference(paramodulation,[status(thm)],[f234,f5]) ).
fof(f404,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(inverse(X1),divide(divide(X0,multiply(multiply(X2,X3),X1)),divide(inverse(X3),X2)))),
inference(paramodulation,[status(thm)],[f5,f233]) ).
fof(f599,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(X1,divide(divide(X0,divide(multiply(inverse(X2),X3),X1)),multiply(inverse(X3),X2)))),
inference(paramodulation,[status(thm)],[f5,f345]) ).
fof(f708,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(divide(inverse(X0),divide(X1,multiply(X2,X3)))),multiply(divide(inverse(X3),X2),X0)) = multiply(multiply(divide(X4,X5),divide(divide(X5,X4),divide(X6,X1))),X6),
inference(paramodulation,[status(thm)],[f21,f84]) ).
fof(f709,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(divide(X1,X2),divide(divide(X2,X1),divide(X3,X0))),X3),
inference(forward_demodulation,[status(thm)],[f21,f708]) ).
fof(f765,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(multiply(X1,X2),divide(divide(inverse(X2),X1),divide(X3,X0))),X3),
inference(paramodulation,[status(thm)],[f5,f709]) ).
fof(f799,plain,
! [X0,X1,X2,X3] : inverse(X0) = multiply(multiply(divide(X1,X2),divide(divide(X2,X1),multiply(X3,X0))),X3),
inference(paramodulation,[status(thm)],[f5,f709]) ).
fof(f1749,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(divide(inverse(divide(divide(X0,X1),divide(X2,X3))),divide(X1,X0)),divide(X4,divide(X3,X2)))) = inverse(inverse(X4)),
inference(paramodulation,[status(thm)],[f4,f323]) ).
fof(f1755,plain,
! [X0,X1,X2,X3] : X0 = inverse(inverse(divide(X0,divide(inverse(X1),divide(inverse(multiply(divide(X2,X3),X1)),divide(X3,X2)))))),
inference(paramodulation,[status(thm)],[f5,f323]) ).
fof(f1944,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = multiply(divide(divide(X2,X3),X4),divide(X4,divide(divide(X1,X0),divide(X3,X2)))),
inference(paramodulation,[status(thm)],[f381,f709]) ).
fof(f1957,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = multiply(divide(multiply(X2,X3),X4),divide(X4,divide(divide(X1,X0),divide(inverse(X3),X2)))),
inference(paramodulation,[status(thm)],[f381,f765]) ).
fof(f2172,plain,
! [X0,X1,X2,X3] : X0 = inverse(inverse(divide(X0,divide(X1,divide(inverse(divide(multiply(inverse(X2),X3),X1)),multiply(inverse(X3),X2)))))),
inference(paramodulation,[status(thm)],[f9,f599]) ).
fof(f4013,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(divide(X1,divide(inverse(X2),divide(inverse(multiply(divide(X3,X4),X2)),divide(X4,X3)))))) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f1755,f5]) ).
fof(f4710,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = multiply(multiply(multiply(X2,X3),X4),divide(inverse(X4),divide(divide(X1,X0),divide(inverse(X3),X2)))),
inference(paramodulation,[status(thm)],[f5,f1957]) ).
fof(f9134,plain,
! [X0,X1,X2,X3] : X0 = inverse(inverse(divide(X0,divide(inverse(X1),divide(inverse(multiply(multiply(inverse(X2),X3),X1)),multiply(inverse(X3),X2)))))),
inference(paramodulation,[status(thm)],[f5,f2172]) ).
fof(f19232,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),multiply(divide(X1,X2),divide(divide(X2,X1),divide(X0,X3)))) = divide(inverse(a3),multiply(divide(a3,a3),divide(divide(a3,a3),divide(a3,X3)))),
inference(equality_split,[status(esa)],[f77]) ).
fof(f29352,plain,
! [X0,X1,X2,X3] : divide(inverse(a3),multiply(divide(a3,a3),divide(divide(a3,a3),divide(a3,X0)))) = multiply(divide(multiply(X1,X2),X3),divide(X3,divide(X0,divide(inverse(X2),X1)))),
inference(forward_demodulation,[status(thm)],[f19232,f121]) ).
fof(f31149,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,divide(X1,divide(inverse(a3),multiply(divide(a3,a3),divide(divide(a3,a3),divide(a3,X2))))))),divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f29352,f131]) ).
fof(f41726,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X1)),divide(X2,X0)) = divide(inverse(divide(a3,X1)),divide(X2,a3)),
inference(equality_split,[status(esa)],[f256]) ).
fof(f45903,plain,
! [X0,X1,X2,X3] : divide(inverse(inverse(X0)),divide(X1,divide(inverse(divide(divide(X2,X3),divide(multiply(divide(a3,a3),divide(divide(a3,a3),divide(a3,X1))),inverse(a3)))),divide(X3,X2)))) = X0,
inference(paramodulation,[status(thm)],[f1749,f31149]) ).
fof(f45904,plain,
! [X0,X1,X2,X3] : divide(inverse(inverse(X0)),divide(X1,divide(inverse(divide(divide(X2,X3),multiply(multiply(divide(a3,a3),divide(divide(a3,a3),divide(a3,X1))),a3))),divide(X3,X2)))) = X0,
inference(forward_demodulation,[status(thm)],[f5,f45903]) ).
fof(f45905,plain,
! [X0,X1,X2,X3] : divide(inverse(inverse(X0)),divide(X1,divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2)))) = X0,
inference(forward_demodulation,[status(thm)],[f709,f45904]) ).
fof(f46097,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(inverse(inverse(X0))),divide(X1,divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2)))) = divide(divide(inverse(divide(divide(X4,X5),divide(X6,X7))),divide(X5,X4)),divide(X0,divide(X7,X6))),
inference(paramodulation,[status(thm)],[f1749,f45905]) ).
fof(f46098,plain,
! [X0,X1,X2,X3,X4] : inverse(X0) = divide(divide(inverse(divide(divide(X1,X2),divide(X3,X4))),divide(X2,X1)),divide(X0,divide(X4,X3))),
inference(forward_demodulation,[status(thm)],[f45905,f46097]) ).
fof(f46384,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = multiply(multiply(multiply(divide(X2,X3),divide(divide(X3,X2),divide(X1,X0))),inverse(X4)),X4),
inference(paramodulation,[status(thm)],[f45905,f4710]) ).
fof(f46387,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),multiply(multiply(divide(X1,X2),divide(divide(X2,X1),X3)),inverse(X0))) = X3,
inference(paramodulation,[status(thm)],[f45905,f49]) ).
fof(f46954,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(X0,multiply(multiply(divide(X1,X2),divide(divide(X2,X1),X3)),inverse(inverse(divide(X0,divide(inverse(X4),divide(inverse(multiply(multiply(inverse(X5),X6),X4)),multiply(inverse(X6),X5)))))))) = X3,
inference(paramodulation,[status(thm)],[f9134,f46387]) ).
fof(f46955,plain,
! [X0,X1,X2,X3] : divide(X0,multiply(multiply(divide(X1,X2),divide(divide(X2,X1),X3)),X0)) = X3,
inference(forward_demodulation,[status(thm)],[f9134,f46954]) ).
fof(f47891,plain,
! [X0,X1,X2,X3] : divide(X0,multiply(multiply(multiply(X1,X2),divide(divide(inverse(X2),X1),X3)),X0)) = X3,
inference(paramodulation,[status(thm)],[f5,f46955]) ).
fof(f47893,plain,
! [X0,X1,X2,X3] : divide(X0,multiply(multiply(divide(X1,X2),multiply(divide(X2,X1),X3)),X0)) = inverse(X3),
inference(paramodulation,[status(thm)],[f5,f46955]) ).
fof(f48066,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(X0,X1)) = multiply(multiply(divide(X1,X0),X2),multiply(divide(X3,X4),divide(divide(X4,X3),X2))),
inference(paramodulation,[status(thm)],[f46955,f799]) ).
fof(f48138,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(inverse(X0),X1)),multiply(X2,X0)) = divide(inverse(divide(divide(X3,X4),X1)),divide(X2,divide(X3,X4))),
inference(paramodulation,[status(thm)],[f46955,f44]) ).
fof(f48139,plain,
! [X0,X1,X2] : divide(inverse(divide(inverse(X0),X1)),multiply(X2,X0)) = divide(inverse(divide(a3,X1)),divide(X2,a3)),
inference(forward_demodulation,[status(thm)],[f41726,f48138]) ).
fof(f54092,plain,
! [X0,X1,X2,X3] : divide(X0,multiply(multiply(multiply(X1,X2),multiply(divide(inverse(X2),X1),X3)),X0)) = inverse(X3),
inference(paramodulation,[status(thm)],[f5,f47891]) ).
fof(f55023,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(inverse(X0),divide(inverse(X1),divide(inverse(multiply(divide(X2,X3),X1)),divide(X3,X2))))),
inference(paramodulation,[status(thm)],[f47893,f404]) ).
fof(f81715,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(X0,X1) = divide(multiply(multiply(divide(X2,X3),divide(divide(X3,X2),divide(X1,X0))),inverse(inverse(divide(X4,divide(inverse(X5),divide(inverse(multiply(divide(X6,X7),X5)),divide(X7,X6))))))),X4),
inference(paramodulation,[status(thm)],[f4013,f46384]) ).
fof(f81716,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = divide(multiply(multiply(divide(X2,X3),divide(divide(X3,X2),divide(X1,X0))),X4),X4),
inference(forward_demodulation,[status(thm)],[f1755,f81715]) ).
fof(f86369,plain,
! [X0,X1,X2,X3] : divide(X0,multiply(inverse(divide(X1,X2)),X0)) = inverse(divide(divide(divide(X2,X1),inverse(X3)),X3)),
inference(paramodulation,[status(thm)],[f48066,f54092]) ).
fof(f86370,plain,
! [X0,X1,X2,X3] : divide(X0,multiply(inverse(divide(X1,X2)),X0)) = inverse(divide(multiply(divide(X2,X1),X3),X3)),
inference(forward_demodulation,[status(thm)],[f5,f86369]) ).
fof(f87483,plain,
! [X0,X1,X2] : divide(X0,multiply(inverse(divide(X1,X2)),X0)) = inverse(divide(multiply(divide(X2,X1),a3),a3)),
inference(equality_split,[status(esa)],[f86370]) ).
fof(f87484,plain,
! [X0,X1,X2] : inverse(divide(multiply(divide(X0,X1),X2),X2)) = inverse(divide(multiply(divide(X0,X1),a3),a3)),
inference(equality_split,[status(esa)],[f86370]) ).
fof(f88741,plain,
! [X0,X1,X2,X3,X4,X5] : divide(multiply(X0,X1),inverse(divide(inverse(X1),X2))) = divide(multiply(multiply(divide(X3,X4),divide(divide(X4,X3),divide(inverse(divide(a3,X2)),divide(X0,a3)))),X5),X5),
inference(paramodulation,[status(thm)],[f48139,f81716]) ).
fof(f88742,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(X0,X1),divide(inverse(X1),X2)) = divide(multiply(multiply(divide(X3,X4),divide(divide(X4,X3),divide(inverse(divide(a3,X2)),divide(X0,a3)))),X5),X5),
inference(forward_demodulation,[status(thm)],[f5,f88741]) ).
fof(f88743,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),divide(inverse(X1),X2)) = divide(divide(X0,a3),inverse(divide(a3,X2))),
inference(forward_demodulation,[status(thm)],[f81716,f88742]) ).
fof(f88744,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),divide(inverse(X1),X2)) = multiply(divide(X0,a3),divide(a3,X2)),
inference(forward_demodulation,[status(thm)],[f5,f88743]) ).
fof(f129139,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(divide(divide(X0,multiply(divide(divide(X1,X2),X3),divide(X3,divide(divide(X4,divide(X5,X6)),divide(X2,X1))))),divide(X6,X5))) = inverse(divide(X0,inverse(X4))),
inference(paramodulation,[status(thm)],[f46098,f359]) ).
fof(f129140,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(X0,divide(divide(X1,X2),X3)),divide(X2,X1))) = inverse(divide(X0,inverse(X3))),
inference(forward_demodulation,[status(thm)],[f1944,f129139]) ).
fof(f129141,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(X0,divide(divide(X1,X2),X3)),divide(X2,X1))) = inverse(multiply(X0,X3)),
inference(forward_demodulation,[status(thm)],[f5,f129140]) ).
fof(f130032,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(inverse(divide(X0,divide(X1,divide(inverse(X2),X3)))),divide(multiply(X3,X2),X0))) = inverse(multiply(inverse(divide(X4,X1)),X4)),
inference(paramodulation,[status(thm)],[f119,f129141]) ).
fof(f130033,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(inverse(divide(X1,X0)),X1)),
inference(forward_demodulation,[status(thm)],[f16,f130032]) ).
fof(f130890,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(divide(X0,X1)),X0) = inverse(divide(inverse(X1),divide(inverse(X2),divide(inverse(multiply(divide(X3,X4),X2)),divide(X4,X3))))),
inference(paramodulation,[status(thm)],[f130033,f55023]) ).
fof(f130891,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f55023,f130890]) ).
fof(f131183,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f5,f130891]) ).
fof(f131187,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(multiply(divide(X1,X0),a3),a3)),
inference(paramodulation,[status(thm)],[f130891,f87483]) ).
fof(f132456,plain,
! [X0,X1] : multiply(inverse(X0),inverse(divide(X1,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f130891,f131183]) ).
fof(f134378,plain,
! [X0,X1,X2] : inverse(divide(multiply(divide(X0,X1),X2),X2)) = divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f131187,f87484]) ).
fof(f135051,plain,
! [X0,X1,X2] : multiply(divide(X0,X1),multiply(divide(X1,X0),X2)) = X2,
inference(paramodulation,[status(thm)],[f134378,f130891]) ).
fof(f135227,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f135051,f47893]) ).
fof(f136564,plain,
! [X0,X1] : divide(inverse(divide(X0,X1)),inverse(X0)) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f132456,f135227]) ).
fof(f136565,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = inverse(inverse(X1)),
inference(forward_demodulation,[status(thm)],[f5,f136564]) ).
fof(f136566,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f130891,f136565]) ).
fof(f137015,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(X0,X1),X1) = divide(multiply(multiply(divide(X2,X3),divide(divide(X3,X2),inverse(X0))),X4),X4),
inference(paramodulation,[status(thm)],[f135227,f81716]) ).
fof(f137016,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(X0,X1),X1) = divide(multiply(multiply(divide(X2,X3),multiply(divide(X3,X2),X0)),X4),X4),
inference(forward_demodulation,[status(thm)],[f5,f137015]) ).
fof(f137017,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),X1) = divide(multiply(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f135051,f137016]) ).
fof(f137498,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f136566,f5]) ).
fof(f137499,plain,
! [X0,X1] : divide(inverse(X0),divide(X1,X0)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f137498,f132456]) ).
fof(f137516,plain,
! [X0,X1] : inverse(X0) = divide(inverse(multiply(inverse(X1),X0)),X1),
inference(paramodulation,[status(thm)],[f131183,f137498]) ).
fof(f137523,plain,
! [X0,X1] : X0 = divide(inverse(divide(inverse(X1),X0)),X1),
inference(paramodulation,[status(thm)],[f130891,f137498]) ).
fof(f138758,plain,
! [X0,X1,X2] : X0 = inverse(inverse(divide(X0,multiply(multiply(X1,X2),divide(inverse(X2),X1))))),
inference(paramodulation,[status(thm)],[f137499,f404]) ).
fof(f138759,plain,
! [X0,X1,X2] : X0 = divide(X0,multiply(multiply(X1,X2),divide(inverse(X2),X1))),
inference(forward_demodulation,[status(thm)],[f136566,f138758]) ).
fof(f138760,plain,
! [X0,X1] : X0 = divide(X0,multiply(divide(X1,a3),divide(a3,X1))),
inference(forward_demodulation,[status(thm)],[f88744,f138759]) ).
fof(f139464,plain,
! [X0,X1,X2,X3,X4] : divide(divide(X0,X1),inverse(X1)) = divide(multiply(multiply(divide(X2,X3),divide(divide(X3,X2),inverse(X0))),X4),X4),
inference(paramodulation,[status(thm)],[f137499,f81716]) ).
fof(f139465,plain,
! [X0,X1,X2,X3,X4] : multiply(divide(X0,X1),X1) = divide(multiply(multiply(divide(X2,X3),divide(divide(X3,X2),inverse(X0))),X4),X4),
inference(forward_demodulation,[status(thm)],[f5,f139464]) ).
fof(f139466,plain,
! [X0,X1,X2,X3,X4] : multiply(divide(X0,X1),X1) = divide(multiply(multiply(divide(X2,X3),multiply(divide(X3,X2),X0)),X4),X4),
inference(forward_demodulation,[status(thm)],[f5,f139465]) ).
fof(f139467,plain,
! [X0,X1,X2] : multiply(divide(X0,X1),X1) = divide(multiply(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f135051,f139466]) ).
fof(f140743,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = divide(multiply(X0,a3),a3),
inference(equality_split,[status(esa)],[f137017]) ).
fof(f141856,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = divide(multiply(X0,a3),a3),
inference(forward_demodulation,[status(thm)],[f140743,f139467]) ).
fof(f147318,plain,
! [X0] : divide(a3,X0) = inverse(divide(X0,a3)),
inference(paramodulation,[status(thm)],[f135227,f138760]) ).
fof(f147832,plain,
! [X0,X1] : divide(a3,multiply(divide(X0,X1),a3)) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f134378,f147318]) ).
fof(f147833,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f135227,f147832]) ).
fof(f148645,plain,
! [X0,X1] : X0 = divide(divide(X0,inverse(X1)),X1),
inference(backward_demodulation,[status(thm)],[f147833,f137523]) ).
fof(f148646,plain,
! [X0,X1] : X0 = divide(multiply(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f5,f148645]) ).
fof(f148647,plain,
! [X0] : X0 = divide(multiply(X0,a3),a3),
inference(forward_demodulation,[status(thm)],[f140743,f148646]) ).
fof(f148668,plain,
! [X0,X1,X2,X3] : divide(divide(divide(X0,divide(X1,X2)),X3),divide(divide(X2,X1),X3)) = X0,
inference(backward_demodulation,[status(thm)],[f147833,f4]) ).
fof(f148802,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f148647,f141856]) ).
fof(f148804,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f148647,f140743]) ).
fof(f148834,plain,
! [X0,X1] : X0 = divide(X0,multiply(X1,divide(a3,multiply(X1,a3)))),
inference(paramodulation,[status(thm)],[f148647,f138760]) ).
fof(f148835,plain,
! [X0,X1] : X0 = divide(X0,multiply(X1,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f135227,f148834]) ).
fof(f148836,plain,
! [X0,X1] : X0 = divide(X0,divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f137498,f148835]) ).
fof(f148974,plain,
! [X0,X1,X2,X3] : divide(multiply(divide(X0,divide(X1,X2)),X3),divide(divide(X2,X1),inverse(X3))) = X0,
inference(paramodulation,[status(thm)],[f5,f148668]) ).
fof(f148975,plain,
! [X0,X1,X2,X3] : divide(multiply(divide(X0,divide(X1,X2)),X3),multiply(divide(X2,X1),X3)) = X0,
inference(forward_demodulation,[status(thm)],[f5,f148974]) ).
fof(f149678,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f148804,f148836]) ).
fof(f149826,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(paramodulation,[status(thm)],[f148836,f147833]) ).
fof(f150141,plain,
! [X0,X1] : inverse(divide(X0,X0)) = divide(inverse(inverse(X1)),X1),
inference(paramodulation,[status(thm)],[f149678,f137516]) ).
fof(f150142,plain,
! [X0,X1] : divide(X0,X0) = divide(inverse(inverse(X1)),X1),
inference(forward_demodulation,[status(thm)],[f147833,f150141]) ).
fof(f150143,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(forward_demodulation,[status(thm)],[f136566,f150142]) ).
fof(f150620,plain,
! [X0] : divide(X0,X0) = divide(a3,a3),
inference(equality_split,[status(esa)],[f150143]) ).
fof(f152160,plain,
! [X0] : inverse(X0) = divide(divide(a3,a3),X0),
inference(forward_demodulation,[status(thm)],[f150620,f149826]) ).
fof(f153084,plain,
! [X0,X1,X2] : divide(multiply(divide(X0,inverse(X1)),X2),multiply(divide(X1,divide(a3,a3)),X2)) = X0,
inference(paramodulation,[status(thm)],[f152160,f148975]) ).
fof(f153085,plain,
! [X0,X1,X2] : divide(multiply(multiply(X0,X1),X2),multiply(divide(X1,divide(a3,a3)),X2)) = X0,
inference(forward_demodulation,[status(thm)],[f5,f153084]) ).
fof(f153086,plain,
! [X0,X1,X2] : divide(multiply(multiply(X0,X1),X2),multiply(X1,X2)) = X0,
inference(forward_demodulation,[status(thm)],[f148836,f153085]) ).
fof(f158361,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f153086,f148802]) ).
fof(f160282,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f158361,f6]) ).
fof(f160283,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f160282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP471-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n008.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 00:19:12 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 99.34/12.83 % Refutation found
% 99.34/12.83 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 99.34/12.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 101.11/13.11 % Elapsed time: 12.818087 seconds
% 101.11/13.11 % CPU time: 100.594267 seconds
% 101.11/13.11 % Total memory used: 1.516 GB
% 101.11/13.11 % Net memory used: 1.494 GB
%------------------------------------------------------------------------------