TSTP Solution File: GRP470-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP470-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Mon May 20 21:30:54 EDT 2024
% Result : Unsatisfiable 34.06s 5.21s
% Output : Refutation 34.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 3
% Syntax : Number of formulae : 123 ( 123 unt; 0 def)
% Number of atoms : 123 ( 122 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 476 ( 476 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f174102,plain,
$false,
inference(subsumption_resolution,[],[f172952,f135970]) ).
fof(f135970,plain,
! [X2,X1] : multiply(divide(X1,X1),X2) = X2,
inference(forward_demodulation,[],[f135969,f135861]) ).
fof(f135861,plain,
! [X2,X3,X0] : divide(X2,X0) = divide(multiply(X2,X3),multiply(X0,X3)),
inference(forward_demodulation,[],[f135860,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f135860,plain,
! [X2,X3,X0] : divide(X2,X0) = divide(divide(X2,inverse(X3)),multiply(X0,X3)),
inference(forward_demodulation,[],[f135859,f135128]) ).
fof(f135128,plain,
! [X0,X1] : divide(X1,X0) = inverse(divide(X0,X1)),
inference(forward_demodulation,[],[f134380,f129111]) ).
fof(f129111,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(inverse(divide(X2,X0)),divide(X1,X2)),
inference(forward_demodulation,[],[f128682,f125920]) ).
fof(f125920,plain,
! [X0,X4] : divide(X0,multiply(inverse(X4),X0)) = X4,
inference(forward_demodulation,[],[f125919,f2]) ).
fof(f125919,plain,
! [X0,X4] : divide(X0,divide(inverse(X4),inverse(X0))) = X4,
inference(forward_demodulation,[],[f125390,f118104]) ).
fof(f118104,plain,
! [X2,X3,X0,X1] : inverse(X2) = divide(divide(X1,X0),divide(X2,divide(multiply(divide(X0,X1),X3),X3))),
inference(superposition,[],[f115899,f84884]) ).
fof(f84884,plain,
! [X0,X1,X5] : divide(multiply(X1,X0),X0) = multiply(multiply(X1,inverse(X5)),X5),
inference(forward_demodulation,[],[f84148,f84056]) ).
fof(f84056,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,X0) = multiply(multiply(divide(X3,X4),divide(divide(X4,X3),divide(X2,multiply(X1,X2)))),X0),
inference(superposition,[],[f353,f83394]) ).
fof(f83394,plain,
! [X0,X4,X5] : divide(X0,multiply(X4,X0)) = divide(X5,multiply(X4,X5)),
inference(forward_demodulation,[],[f83393,f2]) ).
fof(f83393,plain,
! [X0,X4,X5] : divide(X0,divide(X4,inverse(X0))) = divide(X5,multiply(X4,X5)),
inference(forward_demodulation,[],[f82199,f44741]) ).
fof(f44741,plain,
! [X2,X3,X0,X1] : inverse(divide(inverse(X0),divide(X3,divide(inverse(divide(divide(X2,X1),X3)),divide(X1,X2))))) = X0,
inference(superposition,[],[f1688,f44055]) ).
fof(f44055,plain,
! [X1,X6,X4,X5] : divide(X1,multiply(multiply(divide(X4,X5),divide(divide(X5,X4),X6)),X1)) = X6,
inference(superposition,[],[f43306,f1409]) ).
fof(f1409,plain,
! [X2,X3,X1,X4] : inverse(divide(X4,divide(divide(X1,divide(divide(X2,X3),X4)),divide(X3,X2)))) = X1,
inference(superposition,[],[f6,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X0)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(X0,divide(X1,divide(X2,X3)))) = divide(inverse(divide(X4,X1)),divide(divide(X0,divide(X3,X2)),X4)),
inference(superposition,[],[f1,f1]) ).
fof(f43306,plain,
! [X2,X3,X0,X1] : divide(inverse(X0),multiply(multiply(divide(X3,X2),divide(divide(X2,X3),X1)),inverse(X0))) = X1,
inference(superposition,[],[f36,f42473]) ).
fof(f42473,plain,
! [X1,X6,X4,X5] : divide(inverse(inverse(X4)),divide(X1,divide(inverse(divide(divide(X5,X6),X1)),divide(X6,X5)))) = X4,
inference(superposition,[],[f41578,f1]) ).
fof(f41578,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(inverse(X4)),divide(divide(X2,X3),divide(inverse(divide(divide(X0,X1),divide(X2,X3))),divide(X1,X0)))) = X4,
inference(superposition,[],[f1,f2114]) ).
fof(f2114,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(X4)) = inverse(divide(divide(inverse(divide(divide(X0,X1),divide(X2,X3))),divide(X1,X0)),divide(X4,divide(X3,X2)))),
inference(superposition,[],[f1583,f1]) ).
fof(f1583,plain,
! [X2,X3,X0,X1] : inverse(inverse(divide(X3,divide(X2,divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)))))) = X3,
inference(superposition,[],[f1409,f6]) ).
fof(f36,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(inverse(X2),divide(X3,divide(inverse(X1),X0)))),multiply(multiply(X0,X1),X2)) = X3,
inference(superposition,[],[f8,f2]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X2,divide(X3,divide(inverse(X1),X0)))),divide(multiply(X0,X1),X2)) = X3,
inference(superposition,[],[f1,f2]) ).
fof(f1688,plain,
! [X2,X3,X0,X1] : inverse(divide(inverse(X2),divide(divide(X3,multiply(multiply(X0,X1),X2)),divide(inverse(X1),X0)))) = X3,
inference(superposition,[],[f1410,f2]) ).
fof(f1410,plain,
! [X2,X3,X1,X4] : inverse(divide(inverse(X4),divide(divide(X1,multiply(divide(X2,X3),X4)),divide(X3,X2)))) = X1,
inference(superposition,[],[f6,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X2,divide(X3,multiply(X0,X1)))),divide(divide(inverse(X1),X0),X2)) = X3,
inference(superposition,[],[f1,f2]) ).
fof(f82199,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X0,divide(X4,inverse(X0))) = divide(inverse(divide(inverse(X5),divide(X1,divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2))))),multiply(X4,X5)),
inference(superposition,[],[f70188,f44741]) ).
fof(f70188,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X3,X2)),divide(X0,X3)) = divide(inverse(divide(inverse(X1),X2)),multiply(X0,X1)),
inference(superposition,[],[f68542,f2]) ).
fof(f68542,plain,
! [X3,X0,X1,X6] : divide(inverse(divide(X6,X1)),divide(X3,X6)) = divide(inverse(divide(X0,X1)),divide(X3,X0)),
inference(forward_demodulation,[],[f68172,f1]) ).
fof(f68172,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(inverse(divide(X0,X1)),divide(divide(inverse(divide(X2,divide(X3,divide(X4,X5)))),divide(divide(X5,X4),X2)),X0)) = divide(inverse(divide(X6,X1)),divide(X3,X6)),
inference(superposition,[],[f13,f62505]) ).
fof(f62505,plain,
! [X3,X6,X4,X5] : divide(divide(inverse(divide(X5,X6)),divide(divide(inverse(X4),X3),X5)),multiply(X3,X4)) = X6,
inference(forward_demodulation,[],[f61931,f1]) ).
fof(f61931,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(divide(inverse(divide(X5,X6)),divide(divide(inverse(X4),X3),X5)),divide(inverse(divide(X2,divide(multiply(X3,X4),divide(X1,X0)))),divide(divide(X0,X1),X2))) = X6,
inference(superposition,[],[f61007,f3944]) ).
fof(f3944,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(X4),X3) = divide(divide(divide(X0,X1),X2),inverse(divide(X2,divide(multiply(X3,X4),divide(X1,X0))))),
inference(superposition,[],[f238,f1876]) ).
fof(f1876,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X1) = multiply(X4,divide(X0,divide(divide(X1,divide(multiply(X2,X3),X0)),divide(inverse(X3),X2)))),
inference(superposition,[],[f2,f1538]) ).
fof(f1538,plain,
! [X2,X3,X0,X1] : inverse(divide(X2,divide(divide(X3,divide(multiply(X0,X1),X2)),divide(inverse(X1),X0)))) = X3,
inference(superposition,[],[f1409,f2]) ).
fof(f238,plain,
! [X2,X3,X0,X1,X4] : divide(X3,X4) = divide(multiply(divide(X1,X2),divide(divide(X2,X1),divide(X0,divide(X3,X4)))),inverse(X0)),
inference(forward_demodulation,[],[f205,f12]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X3) = divide(inverse(X2),multiply(divide(X1,X0),divide(divide(X0,X1),divide(X2,divide(X3,X4))))),
inference(forward_demodulation,[],[f7,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X3) = divide(inverse(X2),divide(divide(X1,X0),inverse(divide(divide(X0,X1),divide(X2,divide(X3,X4)))))),
inference(superposition,[],[f1,f1]) ).
fof(f205,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(multiply(divide(X1,X2),divide(divide(X2,X1),divide(X0,divide(X3,X4)))),inverse(X0)) = divide(inverse(X5),multiply(divide(X6,X7),divide(divide(X7,X6),divide(X5,divide(X4,X3))))),
inference(superposition,[],[f12,f12]) ).
fof(f61007,plain,
! [X3,X6,X4,X5] : divide(divide(inverse(divide(X3,X4)),divide(divide(X5,X6),X3)),divide(X6,X5)) = X4,
inference(superposition,[],[f44711,f44055]) ).
fof(f44711,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(divide(X1,X0),X2)),divide(divide(X3,X4),divide(X1,X0))),divide(X4,X3)) = X2,
inference(superposition,[],[f44055,f3499]) ).
fof(f3499,plain,
! [X2,X3,X0,X1,X4] : divide(X3,X4) = multiply(multiply(divide(X0,X1),X2),divide(inverse(X2),divide(divide(X4,X3),divide(X1,X0)))),
inference(superposition,[],[f2704,f2]) ).
fof(f2704,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X3) = multiply(divide(divide(X0,X1),X2),divide(X2,divide(divide(X3,X4),divide(X1,X0)))),
inference(superposition,[],[f280,f1588]) ).
fof(f1588,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X1) = multiply(X4,divide(X0,divide(divide(X1,divide(divide(X2,X3),X0)),divide(X3,X2)))),
inference(superposition,[],[f2,f1409]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4] : divide(X3,X4) = multiply(multiply(divide(X0,X1),divide(divide(X1,X0),divide(X2,divide(X3,X4)))),X2),
inference(superposition,[],[f238,f2]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(X4,divide(X5,multiply(divide(divide(X3,X2),X0),divide(X0,divide(X1,divide(X2,X3))))))),divide(X1,X4)) = X5,
inference(forward_demodulation,[],[f9,f2]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(X4,divide(X5,divide(divide(divide(X3,X2),X0),inverse(divide(X0,divide(X1,divide(X2,X3)))))))),divide(X1,X4)) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f353,plain,
! [X2,X3,X0,X1] : multiply(multiply(divide(X0,X1),divide(divide(X1,X0),divide(X2,X3))),X2) = X3,
inference(superposition,[],[f266,f2]) ).
fof(f266,plain,
! [X1,X6,X4,X5] : divide(multiply(divide(X4,X5),divide(divide(X5,X4),divide(X6,X1))),inverse(X6)) = X1,
inference(superposition,[],[f238,f1]) ).
fof(f84148,plain,
! [X2,X3,X0,X1,X4,X5] : divide(multiply(X1,X0),X0) = multiply(multiply(multiply(divide(X3,X4),divide(divide(X4,X3),divide(X2,multiply(X1,X2)))),inverse(X5)),X5),
inference(superposition,[],[f42586,f83394]) ).
fof(f42586,plain,
! [X2,X3,X0,X1,X4] : divide(X2,X1) = multiply(multiply(multiply(divide(X4,X3),divide(divide(X3,X4),divide(X1,X2))),inverse(X0)),X0),
inference(superposition,[],[f5089,f41578]) ).
fof(f5089,plain,
! [X2,X3,X0,X1,X4] : divide(X2,X3) = multiply(multiply(multiply(X0,X1),X4),divide(inverse(X4),divide(divide(X3,X2),divide(inverse(X1),X0)))),
inference(superposition,[],[f3499,f2]) ).
fof(f115899,plain,
! [X2,X3,X0,X1] : divide(divide(X3,X2),divide(X1,multiply(multiply(divide(X2,X3),X0),X1))) = X0,
inference(forward_demodulation,[],[f115898,f2]) ).
fof(f115898,plain,
! [X2,X3,X0,X1] : divide(divide(X3,X2),divide(X1,multiply(divide(divide(X2,X3),inverse(X0)),X1))) = X0,
inference(forward_demodulation,[],[f115122,f2]) ).
fof(f115122,plain,
! [X2,X3,X0,X1] : divide(divide(X3,X2),divide(X1,divide(divide(divide(X2,X3),inverse(X0)),inverse(X1)))) = X0,
inference(superposition,[],[f114220,f114220]) ).
fof(f114220,plain,
! [X2,X3,X1,X4] : divide(X1,divide(divide(inverse(X2),divide(divide(X3,X4),X1)),divide(X4,X3))) = X2,
inference(superposition,[],[f83986,f13]) ).
fof(f83986,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X3,divide(X2,multiply(X1,X2)))),divide(divide(inverse(X0),X1),X3)) = X0,
inference(superposition,[],[f4,f83394]) ).
fof(f125390,plain,
! [X2,X3,X0,X1,X4] : divide(X0,divide(inverse(X4),divide(divide(X2,X1),divide(X0,divide(multiply(divide(X1,X2),X3),X3))))) = X4,
inference(superposition,[],[f124754,f114220]) ).
fof(f124754,plain,
! [X2,X3,X0,X1] : divide(X2,X3) = divide(divide(X2,divide(multiply(X0,X1),X1)),divide(X3,X0)),
inference(superposition,[],[f115899,f124340]) ).
fof(f124340,plain,
! [X2,X3,X0,X1] : multiply(multiply(divide(divide(multiply(X2,X3),X3),X0),divide(X0,X1)),X1) = X2,
inference(forward_demodulation,[],[f123908,f2]) ).
fof(f123908,plain,
! [X2,X3,X0,X1] : multiply(divide(divide(divide(multiply(X2,X3),X3),X0),inverse(divide(X0,X1))),X1) = X2,
inference(superposition,[],[f122911,f61007]) ).
fof(f122911,plain,
! [X2,X3,X0,X1] : multiply(divide(X0,X1),divide(divide(X1,X0),divide(X2,multiply(X3,X2)))) = X3,
inference(superposition,[],[f118656,f2]) ).
fof(f118656,plain,
! [X2,X0,X1,X4] : divide(divide(X1,X0),inverse(divide(divide(X0,X1),divide(X4,multiply(X2,X4))))) = X2,
inference(forward_demodulation,[],[f118655,f2]) ).
fof(f118655,plain,
! [X2,X0,X1,X4] : divide(divide(X1,X0),inverse(divide(divide(X0,X1),divide(X4,divide(X2,inverse(X4)))))) = X2,
inference(forward_demodulation,[],[f118089,f6]) ).
fof(f118089,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X1,X0),divide(inverse(divide(X3,X4)),divide(divide(divide(X0,X1),divide(inverse(X4),X2)),X3))) = X2,
inference(superposition,[],[f115899,f72195]) ).
fof(f72195,plain,
! [X2,X3,X0,X1] : divide(divide(X0,divide(inverse(X1),X2)),X3) = multiply(multiply(X0,X2),inverse(divide(X3,X1))),
inference(superposition,[],[f63818,f62132]) ).
fof(f62132,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(divide(divide(X2,X3),X0),divide(X0,X1)),X1),X3) = X2,
inference(superposition,[],[f388,f61007]) ).
fof(f388,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(X0,X1),divide(divide(inverse(X1),X0),divide(X2,X3))),X2) = X3,
inference(superposition,[],[f353,f2]) ).
fof(f63818,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(multiply(multiply(X0,X1),X2),divide(inverse(X2),X3)),X3),inverse(X1)) = X0,
inference(superposition,[],[f62814,f2]) ).
fof(f62814,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(divide(multiply(X0,X1),X2),divide(X2,X3)),X3),inverse(X1)) = X0,
inference(superposition,[],[f62132,f2]) ).
fof(f128682,plain,
! [X2,X3,X0,X1] : divide(X0,X1) = divide(inverse(divide(X2,divide(X3,multiply(inverse(X0),X3)))),divide(X1,X2)),
inference(superposition,[],[f83986,f125380]) ).
fof(f125380,plain,
! [X0,X1] : divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(superposition,[],[f124754,f61915]) ).
fof(f61915,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(X2,X3)),divide(multiply(X0,X1),X2)),divide(inverse(X1),X0)) = X3,
inference(superposition,[],[f61007,f2]) ).
fof(f134380,plain,
! [X2,X0,X1] : inverse(divide(X0,X1)) = divide(inverse(divide(X2,X1)),divide(X0,X2)),
inference(superposition,[],[f132320,f68542]) ).
fof(f132320,plain,
! [X2,X0] : divide(X0,divide(X2,X2)) = X0,
inference(forward_demodulation,[],[f131544,f129111]) ).
fof(f131544,plain,
! [X2,X0,X1] : divide(X0,divide(inverse(divide(X1,X2)),divide(X2,X1))) = X0,
inference(superposition,[],[f114220,f130753]) ).
fof(f130753,plain,
! [X0,X1] : inverse(X0) = divide(inverse(X1),divide(X0,X1)),
inference(forward_demodulation,[],[f130752,f126732]) ).
fof(f126732,plain,
! [X2,X0,X1] : divide(divide(X1,multiply(X2,X1)),divide(inverse(X0),X2)) = X0,
inference(forward_demodulation,[],[f126224,f125856]) ).
fof(f125856,plain,
! [X3,X0,X4,X5] : multiply(X5,X0) = divide(divide(X5,divide(divide(X3,X4),X0)),divide(X4,X3)),
inference(forward_demodulation,[],[f125855,f2]) ).
fof(f125855,plain,
! [X3,X0,X4,X5] : divide(X5,inverse(X0)) = divide(divide(X5,divide(divide(X3,X4),X0)),divide(X4,X3)),
inference(forward_demodulation,[],[f125286,f50751]) ).
fof(f50751,plain,
! [X2,X3,X0,X1,X4] : divide(X2,X1) = divide(multiply(multiply(divide(X4,X3),divide(divide(X3,X4),divide(X1,X2))),X0),X0),
inference(superposition,[],[f9787,f44741]) ).
fof(f9787,plain,
! [X2,X3,X0,X1,X4] : divide(X3,X4) = divide(multiply(multiply(X0,X1),X2),inverse(divide(inverse(X2),divide(divide(X4,X3),divide(inverse(X1),X0))))),
inference(superposition,[],[f2729,f2]) ).
fof(f2729,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X3) = divide(divide(multiply(X0,X1),X2),inverse(divide(X2,divide(divide(X3,X4),divide(inverse(X1),X0))))),
inference(superposition,[],[f317,f1588]) ).
fof(f317,plain,
! [X2,X3,X0,X1] : divide(multiply(multiply(X0,X1),divide(divide(inverse(X1),X0),divide(X2,X3))),inverse(X2)) = X3,
inference(superposition,[],[f266,f2]) ).
fof(f125286,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(X5,inverse(X0)) = divide(divide(X5,divide(multiply(multiply(divide(X1,X2),divide(divide(X2,X1),divide(X0,divide(X3,X4)))),X6),X6)),divide(X4,X3)),
inference(superposition,[],[f124754,f12]) ).
fof(f126224,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X1,divide(divide(X2,divide(divide(X3,X4),X1)),divide(X4,X3))),divide(inverse(X0),X2)) = X0,
inference(superposition,[],[f125920,f1588]) ).
fof(f130752,plain,
! [X2,X3,X0,X1] : inverse(X0) = divide(inverse(X1),divide(divide(X3,multiply(X2,X3)),divide(inverse(divide(X0,X1)),X2))),
inference(forward_demodulation,[],[f130299,f127222]) ).
fof(f127222,plain,
! [X2,X0,X1] : divide(divide(X0,X1),X2) = inverse(multiply(X2,divide(X1,X0))),
inference(forward_demodulation,[],[f126798,f125856]) ).
fof(f126798,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X0,X1),X2) = inverse(divide(divide(X2,divide(divide(X3,X4),divide(X1,X0))),divide(X4,X3))),
inference(superposition,[],[f125922,f2704]) ).
fof(f125922,plain,
! [X2,X0] : inverse(divide(X2,multiply(X0,X2))) = X0,
inference(forward_demodulation,[],[f125394,f2]) ).
fof(f125394,plain,
! [X2,X0] : inverse(divide(X2,divide(X0,inverse(X2)))) = X0,
inference(superposition,[],[f1538,f124754]) ).
fof(f130299,plain,
! [X2,X3,X0,X1] : inverse(X0) = divide(inverse(X1),inverse(multiply(divide(inverse(divide(X0,X1)),X2),divide(multiply(X2,X3),X3)))),
inference(superposition,[],[f125381,f85083]) ).
fof(f85083,plain,
! [X2,X3,X0,X1] : multiply(multiply(divide(inverse(divide(X1,X2)),X0),divide(multiply(X0,X3),X3)),X1) = X2,
inference(superposition,[],[f400,f84886]) ).
fof(f84886,plain,
! [X0,X1,X5] : divide(multiply(X1,X0),X0) = divide(multiply(X1,X5),X5),
inference(forward_demodulation,[],[f84168,f84056]) ).
fof(f84168,plain,
! [X2,X3,X0,X1,X4,X5] : divide(multiply(X1,X0),X0) = divide(multiply(multiply(divide(X3,X4),divide(divide(X4,X3),divide(X2,multiply(X1,X2)))),X5),X5),
inference(superposition,[],[f50751,f83394]) ).
fof(f400,plain,
! [X2,X3,X0,X1] : multiply(multiply(divide(inverse(X1),X0),divide(multiply(X0,X1),divide(X2,X3))),X2) = X3,
inference(superposition,[],[f353,f2]) ).
fof(f125381,plain,
! [X0,X1] : inverse(X1) = divide(inverse(multiply(X0,X1)),inverse(X0)),
inference(superposition,[],[f124754,f65021]) ).
fof(f65021,plain,
! [X2,X3,X0,X1] : inverse(X2) = divide(divide(inverse(multiply(X3,X2)),divide(multiply(X0,X1),X3)),divide(inverse(X1),X0)),
inference(superposition,[],[f61810,f2]) ).
fof(f61810,plain,
! [X2,X3,X0,X1] : inverse(X1) = divide(divide(inverse(multiply(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)),
inference(superposition,[],[f61007,f2]) ).
fof(f135859,plain,
! [X2,X3,X0] : divide(X2,X0) = divide(inverse(divide(inverse(X3),X2)),multiply(X0,X3)),
inference(forward_demodulation,[],[f135858,f132320]) ).
fof(f135858,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(inverse(X3),X2)),multiply(X0,X3)) = divide(divide(X2,divide(X1,X1)),X0),
inference(forward_demodulation,[],[f134643,f135128]) ).
fof(f134643,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(inverse(X3),X2)),multiply(X0,X3)) = divide(inverse(divide(divide(X1,X1),X2)),X0),
inference(superposition,[],[f70188,f132320]) ).
fof(f135969,plain,
! [X2,X0,X1] : multiply(divide(multiply(X1,X0),multiply(X1,X0)),X2) = X2,
inference(forward_demodulation,[],[f135968,f132309]) ).
fof(f132309,plain,
! [X2,X3] : divide(X3,X2) = multiply(X3,inverse(X2)),
inference(forward_demodulation,[],[f131529,f132300]) ).
fof(f132300,plain,
! [X2,X0,X1] : divide(X2,multiply(divide(X1,X0),divide(X0,X1))) = X2,
inference(forward_demodulation,[],[f131522,f132129]) ).
fof(f132129,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f131439,f125380]) ).
fof(f131439,plain,
! [X0,X1] : inverse(inverse(X0)) = divide(inverse(divide(X1,X0)),inverse(X1)),
inference(superposition,[],[f130753,f130753]) ).
fof(f131522,plain,
! [X2,X0,X1] : divide(inverse(inverse(X2)),multiply(divide(X1,X0),divide(X0,X1))) = X2,
inference(superposition,[],[f10,f130753]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(inverse(X2),divide(X3,divide(X1,X0)))),multiply(divide(X0,X1),X2)) = X3,
inference(superposition,[],[f1,f2]) ).
fof(f131529,plain,
! [X2,X3,X0,X1] : divide(X3,X2) = multiply(X3,inverse(divide(X2,multiply(divide(X1,X0),divide(X0,X1))))),
inference(superposition,[],[f1736,f130753]) ).
fof(f1736,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X1) = multiply(X4,divide(inverse(X0),divide(divide(X1,multiply(divide(X2,X3),X0)),divide(X3,X2)))),
inference(superposition,[],[f2,f1410]) ).
fof(f135968,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X1,X0),inverse(multiply(X1,X0))),X2) = X2,
inference(forward_demodulation,[],[f134696,f135175]) ).
fof(f135175,plain,
! [X2,X1] : divide(inverse(X1),X2) = inverse(multiply(X2,X1)),
inference(forward_demodulation,[],[f134418,f130753]) ).
fof(f134418,plain,
! [X2,X0,X1] : divide(inverse(X1),X2) = divide(inverse(X0),divide(multiply(X2,X1),X0)),
inference(superposition,[],[f8,f132320]) ).
fof(f134696,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X1,X0),divide(inverse(X0),X1)),X2) = X2,
inference(superposition,[],[f388,f132320]) ).
fof(f172952,plain,
! [X0] : a2 != multiply(divide(X0,X0),a2),
inference(superposition,[],[f3,f135162]) ).
fof(f135162,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(forward_demodulation,[],[f134411,f126258]) ).
fof(f126258,plain,
! [X2,X3,X1] : inverse(X1) = multiply(divide(X2,X3),divide(divide(X3,X2),X1)),
inference(superposition,[],[f122911,f125920]) ).
fof(f134411,plain,
! [X2,X3,X0,X1] : divide(X1,X1) = multiply(multiply(divide(X2,X3),divide(divide(X3,X2),X0)),X0),
inference(superposition,[],[f280,f132320]) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP470-1 : TPTP v8.2.0. Released v2.6.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 04:09:23 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (1355)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (1359)WARNING: value z3 for option sas not known
% 0.11/0.34 % (1359)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (1356)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35 % (1362)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.35 % (1363)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 % (1360)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [2]
% 0.11/0.36 TRYING [3]
% 0.11/0.36 % (1361)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.36 % (1357)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.36 TRYING [4]
% 0.11/0.39 TRYING [4]
% 0.18/0.46 TRYING [5]
% 5.27/1.16 TRYING [6]
% 7.48/1.44 TRYING [1]
% 7.48/1.44 TRYING [2]
% 7.48/1.44 TRYING [3]
% 7.48/1.44 TRYING [4]
% 8.49/1.54 TRYING [5]
% 17.46/2.87 TRYING [6]
% 17.46/2.90 TRYING [5]
% 34.06/5.19 % (1363)First to succeed.
% 34.06/5.20 % (1363)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1355"
% 34.06/5.21 % (1363)Refutation found. Thanks to Tanya!
% 34.06/5.21 % SZS status Unsatisfiable for theBenchmark
% 34.06/5.21 % SZS output start Proof for theBenchmark
% See solution above
% 34.06/5.21 % (1363)------------------------------
% 34.06/5.21 % (1363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 34.06/5.21 % (1363)Termination reason: Refutation
% 34.06/5.21
% 34.06/5.21 % (1363)Memory used [KB]: 93168
% 34.06/5.21 % (1363)Time elapsed: 4.848 s
% 34.06/5.21 % (1363)Instructions burned: 12512 (million)
% 34.06/5.21 % (1355)Success in time 4.877 s
%------------------------------------------------------------------------------