TSTP Solution File: GRP472-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP472-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 12:07:16 EDT 2024
% Result : Unsatisfiable 30.75s 4.79s
% Output : Refutation 30.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 3
% Syntax : Number of formulae : 227 ( 227 unt; 0 def)
% Number of atoms : 227 ( 226 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 11 ( 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 : 806 ( 806 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f173641,plain,
$false,
inference(subsumption_resolution,[],[f170761,f141931]) ).
fof(f141931,plain,
! [X0,X1] : divide(X1,X1) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f141930,f121391]) ).
fof(f121391,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f121390,f105181]) ).
fof(f105181,plain,
! [X3,X0,X1] : divide(divide(X0,X1),multiply(inverse(inverse(X3)),divide(inverse(X3),X1))) = X0,
inference(forward_demodulation,[],[f104692,f11496]) ).
fof(f11496,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X1)),X2) = inverse(divide(inverse(multiply(multiply(inverse(X0),X1),X2)),X0)),
inference(superposition,[],[f11408,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f11408,plain,
! [X2,X0,X1] : multiply(inverse(X1),X2) = inverse(divide(inverse(multiply(divide(inverse(X0),X1),X2)),X0)),
inference(forward_demodulation,[],[f11293,f2]) ).
fof(f11293,plain,
! [X2,X0,X1] : divide(inverse(X1),inverse(X2)) = inverse(divide(inverse(multiply(divide(inverse(X0),X1),X2)),X0)),
inference(superposition,[],[f11064,f2]) ).
fof(f11064,plain,
! [X2,X3,X1] : divide(inverse(X2),X3) = inverse(divide(inverse(divide(divide(inverse(X1),X2),X3)),X1)),
inference(forward_demodulation,[],[f10847,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f10847,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(inverse(divide(divide(inverse(X1),X2),X3)),X1)) = divide(divide(inverse(divide(X0,divide(inverse(X2),X3))),divide(divide(X4,X5),X0)),divide(X5,X4)),
inference(superposition,[],[f4,f10695]) ).
fof(f10695,plain,
! [X2,X0,X1,X4] : divide(X0,divide(inverse(X1),X2)) = multiply(X0,divide(inverse(divide(divide(inverse(X4),X1),X2)),X4)),
inference(superposition,[],[f7459,f7458]) ).
fof(f7458,plain,
! [X2,X0,X1,X4,X5] : multiply(divide(multiply(divide(divide(X0,divide(inverse(X1),X2)),X4),divide(X4,X1)),X5),divide(X5,X2)) = X0,
inference(superposition,[],[f5625,f4868]) ).
fof(f4868,plain,
! [X2,X0,X1,X4,X5] : multiply(divide(X0,X1),divide(X1,X2)) = divide(multiply(X0,divide(divide(inverse(X2),X4),X5)),divide(inverse(X4),X5)),
inference(superposition,[],[f4481,f4481]) ).
fof(f4481,plain,
! [X1,X6,X7,X4,X5] : divide(multiply(divide(multiply(divide(X1,X4),divide(X4,X5)),X6),divide(X6,X7)),divide(inverse(X5),X7)) = X1,
inference(superposition,[],[f3520,f1]) ).
fof(f3520,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X2,X3) = divide(multiply(divide(multiply(divide(divide(X2,X3),X4),divide(X4,X0)),X5),divide(X5,X1)),divide(inverse(X0),X1)),
inference(forward_demodulation,[],[f3317,f436]) ).
fof(f436,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X3,X2) = divide(divide(inverse(X1),X4),multiply(divide(multiply(divide(divide(X2,X3),X0),divide(X0,X1)),X5),divide(X5,X4))),
inference(forward_demodulation,[],[f351,f2]) ).
fof(f351,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X3,X2) = divide(divide(inverse(X1),X4),multiply(divide(divide(divide(divide(X2,X3),X0),inverse(divide(X0,X1))),X5),divide(X5,X4))),
inference(superposition,[],[f12,f1]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(divide(X3,X2),X4)),X1),multiply(divide(divide(X2,X3),X0),divide(X0,X1))) = X4,
inference(forward_demodulation,[],[f8,f2]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(divide(X3,X2),X4)),X1),divide(divide(divide(X2,X3),X0),inverse(divide(X0,X1)))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f3317,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : divide(multiply(divide(multiply(divide(divide(X2,X3),X4),divide(X4,X0)),X5),divide(X5,X1)),divide(inverse(X0),X1)) = divide(divide(inverse(X6),X7),multiply(divide(multiply(divide(divide(X3,X2),X8),divide(X8,X6)),X9),divide(X9,X7))),
inference(superposition,[],[f436,f436]) ).
fof(f5625,plain,
! [X2,X3,X0,X1,X5] : multiply(divide(divide(multiply(divide(X0,X1),divide(X1,X2)),divide(inverse(X3),X2)),X5),divide(X5,X3)) = X0,
inference(superposition,[],[f4868,f4481]) ).
fof(f7459,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(divide(multiply(divide(X0,X1),divide(X1,X2)),divide(inverse(X3),X2)),X4),divide(inverse(X4),X3)) = X0,
inference(superposition,[],[f5625,f2]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : inverse(X1) = divide(divide(inverse(multiply(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)),
inference(superposition,[],[f1,f2]) ).
fof(f104692,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X1),inverse(divide(inverse(multiply(multiply(inverse(X2),X3),divide(inverse(X3),X1))),X2))) = X0,
inference(superposition,[],[f104639,f11498]) ).
fof(f11498,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),divide(X1,X2)) = inverse(divide(inverse(multiply(multiply(inverse(X0),X3),divide(inverse(X3),X2))),X0)),
inference(superposition,[],[f11408,f5804]) ).
fof(f5804,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),divide(inverse(X1),X2)) = multiply(divide(X0,X3),divide(X3,X2)),
inference(superposition,[],[f5628,f2]) ).
fof(f5628,plain,
! [X0,X1,X4,X5] : multiply(divide(X0,X4),divide(X4,X1)) = multiply(divide(X0,X5),divide(X5,X1)),
inference(superposition,[],[f4868,f4868]) ).
fof(f104639,plain,
! [X2,X4] : divide(X2,multiply(inverse(X4),X2)) = X4,
inference(forward_demodulation,[],[f104330,f97955]) ).
fof(f97955,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,X2) = divide(divide(X1,X0),divide(X4,multiply(multiply(divide(X0,X3),multiply(X3,X2)),X4))),
inference(superposition,[],[f94365,f6206]) ).
fof(f6206,plain,
! [X2,X3,X0,X1] : multiply(divide(X2,X0),multiply(X0,X1)) = multiply(divide(X2,X3),multiply(X3,X1)),
inference(forward_demodulation,[],[f5861,f2]) ).
fof(f5861,plain,
! [X2,X3,X0,X1] : multiply(divide(X2,X0),multiply(X0,X1)) = multiply(divide(X2,X3),divide(X3,inverse(X1))),
inference(superposition,[],[f5628,f2]) ).
fof(f94365,plain,
! [X2,X3,X0,X1] : divide(divide(X3,X2),divide(X1,multiply(multiply(divide(X2,X3),X0),X1))) = X0,
inference(forward_demodulation,[],[f94364,f2]) ).
fof(f94364,plain,
! [X2,X3,X0,X1] : divide(divide(X3,X2),divide(X1,multiply(divide(divide(X2,X3),inverse(X0)),X1))) = X0,
inference(forward_demodulation,[],[f93695,f2]) ).
fof(f93695,plain,
! [X2,X3,X0,X1] : divide(divide(X3,X2),divide(X1,divide(divide(divide(X2,X3),inverse(X0)),inverse(X1)))) = X0,
inference(superposition,[],[f92978,f92978]) ).
fof(f92978,plain,
! [X2,X0,X1,X4] : divide(X2,divide(divide(inverse(X4),divide(divide(X0,X1),X2)),divide(X1,X0))) = X4,
inference(superposition,[],[f11298,f12]) ).
fof(f11298,plain,
! [X2,X3,X0,X1,X4] : divide(divide(divide(inverse(X1),X2),multiply(divide(X3,X4),divide(divide(inverse(X0),X1),X2))),divide(X4,X3)) = X0,
inference(superposition,[],[f9,f11064]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(inverse(X2),X3)),multiply(divide(X0,X1),X2)),divide(X1,X0)) = X3,
inference(superposition,[],[f1,f2]) ).
fof(f104330,plain,
! [X2,X3,X0,X1,X4] : divide(X2,divide(divide(inverse(X4),X0),divide(X3,multiply(multiply(divide(X0,X1),multiply(X1,X2)),X3)))) = X4,
inference(superposition,[],[f92978,f102905]) ).
fof(f102905,plain,
! [X2,X3,X0,X1] : divide(divide(multiply(multiply(divide(X0,X1),multiply(X1,X2)),X3),X3),X2) = X0,
inference(forward_demodulation,[],[f102691,f2]) ).
fof(f102691,plain,
! [X2,X3,X0,X1] : divide(divide(multiply(multiply(divide(X0,X1),divide(X1,inverse(X2))),X3),X3),X2) = X0,
inference(superposition,[],[f94553,f101407]) ).
fof(f101407,plain,
! [X2,X0,X1] : divide(multiply(X0,X2),X2) = multiply(multiply(X0,inverse(X1)),X1),
inference(superposition,[],[f100704,f2]) ).
fof(f100704,plain,
! [X0,X6,X5] : divide(multiply(X0,X5),X5) = divide(multiply(X0,X6),X6),
inference(superposition,[],[f100329,f5625]) ).
fof(f100329,plain,
! [X2,X0,X1,X4] : divide(multiply(multiply(X0,X1),X2),X2) = divide(multiply(multiply(X0,X1),X4),X4),
inference(superposition,[],[f94553,f94565]) ).
fof(f94565,plain,
! [X0,X1,X6,X4] : multiply(divide(divide(multiply(multiply(X4,X0),X1),X1),X6),divide(X6,X0)) = X4,
inference(forward_demodulation,[],[f94564,f2]) ).
fof(f94564,plain,
! [X0,X1,X6,X4] : multiply(divide(divide(multiply(divide(X4,inverse(X0)),X1),X1),X6),divide(X6,X0)) = X4,
inference(forward_demodulation,[],[f94132,f93898]) ).
fof(f93898,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(divide(X4,X0),X1) = multiply(divide(X4,X5),divide(X5,divide(divide(inverse(X1),divide(divide(X2,X3),X0)),divide(X3,X2)))),
inference(superposition,[],[f5628,f92978]) ).
fof(f94132,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(divide(divide(multiply(divide(X4,X5),divide(X5,divide(divide(inverse(X1),divide(divide(X2,X3),inverse(X0))),divide(X3,X2)))),X1),X6),divide(X6,X0)) = X4,
inference(superposition,[],[f5625,f92978]) ).
fof(f94553,plain,
! [X0,X1,X4,X5] : divide(multiply(multiply(multiply(divide(X4,X5),divide(X5,X0)),X0),X1),X1) = X4,
inference(forward_demodulation,[],[f94552,f2]) ).
fof(f94552,plain,
! [X0,X1,X4,X5] : divide(multiply(divide(multiply(divide(X4,X5),divide(X5,X0)),inverse(X0)),X1),X1) = X4,
inference(forward_demodulation,[],[f94123,f93898]) ).
fof(f94123,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(multiply(divide(multiply(divide(X4,X5),divide(X5,X0)),X6),divide(X6,divide(divide(inverse(X1),divide(divide(X2,X3),inverse(X0))),divide(X3,X2)))),X1) = X4,
inference(superposition,[],[f4481,f92978]) ).
fof(f121390,plain,
! [X3,X0,X1] : inverse(inverse(X0)) = divide(divide(X0,X1),multiply(inverse(inverse(X3)),divide(inverse(X3),X1))),
inference(forward_demodulation,[],[f120752,f11496]) ).
fof(f120752,plain,
! [X2,X3,X0,X1] : inverse(inverse(X0)) = divide(divide(X0,X1),inverse(divide(inverse(multiply(multiply(inverse(X2),X3),divide(inverse(X3),X1))),X2))),
inference(superposition,[],[f119718,f11498]) ).
fof(f119718,plain,
! [X0,X4] : inverse(X0) = divide(X4,multiply(X0,X4)),
inference(forward_demodulation,[],[f119065,f104697]) ).
fof(f104697,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X1),divide(inverse(inverse(divide(divide(inverse(X1),X2),X3))),divide(inverse(X2),X3))) = X0,
inference(superposition,[],[f104639,f22573]) ).
fof(f22573,plain,
! [X2,X3,X0,X1] : divide(inverse(inverse(divide(divide(inverse(X0),X1),X2))),divide(inverse(X1),X2)) = multiply(inverse(X3),divide(X3,X0)),
inference(superposition,[],[f21890,f10695]) ).
fof(f21890,plain,
! [X2,X3,X4] : multiply(inverse(X3),divide(X3,X2)) = multiply(inverse(X4),divide(X4,X2)),
inference(superposition,[],[f11499,f11499]) ).
fof(f11499,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),divide(X1,X2)) = inverse(divide(inverse(multiply(divide(inverse(X0),X3),divide(X3,X2))),X0)),
inference(superposition,[],[f11408,f5628]) ).
fof(f119065,plain,
! [X2,X3,X0,X1,X4] : inverse(X0) = divide(X4,multiply(divide(divide(X0,X1),divide(inverse(inverse(divide(divide(inverse(X1),X2),X3))),divide(inverse(X2),X3))),X4)),
inference(superposition,[],[f107636,f22573]) ).
fof(f107636,plain,
! [X2,X3,X1] : divide(X3,multiply(divide(X1,multiply(X2,X1)),X3)) = X2,
inference(forward_demodulation,[],[f107635,f106791]) ).
fof(f106791,plain,
! [X2,X0,X4] : divide(X4,multiply(X2,X0)) = divide(divide(X4,X0),X2),
inference(forward_demodulation,[],[f106467,f105381]) ).
fof(f105381,plain,
! [X2,X3,X0,X1,X4] : divide(X4,multiply(X0,X1)) = multiply(X4,divide(divide(inverse(X1),X2),multiply(divide(X0,X3),divide(X3,X2)))),
inference(superposition,[],[f104332,f5804]) ).
fof(f104332,plain,
! [X2,X0,X1] : divide(X0,X1) = multiply(X0,divide(X2,multiply(X1,X2))),
inference(superposition,[],[f94565,f102905]) ).
fof(f106467,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,divide(divide(inverse(X0),X1),multiply(divide(X2,X3),divide(X3,X1)))) = divide(divide(X4,X0),X2),
inference(superposition,[],[f7527,f105965]) ).
fof(f105965,plain,
! [X2,X1] : inverse(divide(X1,multiply(X2,X1))) = X2,
inference(forward_demodulation,[],[f105470,f1]) ).
fof(f105470,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(X1,multiply(X2,X1))) = divide(divide(inverse(divide(X0,X2)),divide(divide(X3,X4),X0)),divide(X4,X3)),
inference(superposition,[],[f4,f104332]) ).
fof(f7527,plain,
! [X2,X3,X0,X1,X5] : divide(divide(inverse(divide(divide(divide(inverse(X3),X2),multiply(divide(X0,X1),divide(X1,X2))),X5)),X3),X0) = X5,
inference(superposition,[],[f12,f5625]) ).
fof(f107635,plain,
! [X2,X3,X1] : divide(X3,multiply(divide(divide(X1,X1),X2),X3)) = X2,
inference(forward_demodulation,[],[f107220,f105431]) ).
fof(f105431,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X1),X2) = multiply(divide(X0,X3),divide(X3,multiply(X2,X1))),
inference(superposition,[],[f104332,f5628]) ).
fof(f107220,plain,
! [X2,X3,X0,X1] : divide(X3,multiply(multiply(divide(X1,X0),divide(X0,multiply(X2,X1))),X3)) = X2,
inference(superposition,[],[f94474,f106791]) ).
fof(f94474,plain,
! [X2,X3,X0,X1] : divide(X3,multiply(multiply(divide(X1,X0),divide(divide(X0,X1),X2)),X3)) = X2,
inference(forward_demodulation,[],[f94055,f2]) ).
fof(f94055,plain,
! [X2,X3,X0,X1] : divide(X3,multiply(divide(divide(X1,X0),inverse(divide(divide(X0,X1),X2))),X3)) = X2,
inference(superposition,[],[f10,f92978]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(X2,X3)),divide(divide(inverse(X1),X0),X2)),multiply(X0,X1)) = X3,
inference(superposition,[],[f1,f2]) ).
fof(f141930,plain,
! [X0,X1] : divide(inverse(inverse(X1)),X1) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f141929,f108056]) ).
fof(f108056,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(superposition,[],[f107591,f2]) ).
fof(f107591,plain,
! [X0,X1] : divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(forward_demodulation,[],[f107146,f106358]) ).
fof(f106358,plain,
! [X2,X3,X1] : inverse(X3) = multiply(divide(X1,X2),divide(divide(X2,X1),X3)),
inference(superposition,[],[f105965,f94474]) ).
fof(f107146,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X0,X1)),multiply(divide(X3,X2),divide(divide(X2,X3),X0))) = X1,
inference(superposition,[],[f106791,f1]) ).
fof(f141929,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = divide(inverse(inverse(X1)),multiply(inverse(divide(X2,X1)),X2)),
inference(forward_demodulation,[],[f141308,f128642]) ).
fof(f128642,plain,
! [X0,X1] : multiply(inverse(X1),X0) = inverse(multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f128641,f127525]) ).
fof(f127525,plain,
! [X2,X0,X1] : multiply(inverse(X0),X2) = multiply(X1,multiply(inverse(multiply(X0,X1)),X2)),
inference(forward_demodulation,[],[f126134,f121651]) ).
fof(f121651,plain,
! [X2,X3,X0] : multiply(X0,X3) = multiply(divide(X0,X2),multiply(X2,X3)),
inference(forward_demodulation,[],[f121650,f121391]) ).
fof(f121650,plain,
! [X2,X3,X0] : multiply(divide(X0,X2),multiply(X2,X3)) = multiply(inverse(inverse(X0)),X3),
inference(forward_demodulation,[],[f120956,f120495]) ).
fof(f120495,plain,
! [X2,X3,X0] : multiply(inverse(inverse(X0)),X2) = multiply(inverse(X3),multiply(multiply(X3,X0),X2)),
inference(forward_demodulation,[],[f120494,f2]) ).
fof(f120494,plain,
! [X2,X3,X0] : multiply(inverse(inverse(X0)),X2) = multiply(inverse(X3),divide(multiply(X3,X0),inverse(X2))),
inference(forward_demodulation,[],[f120493,f119718]) ).
fof(f120493,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(X0)),X2) = multiply(inverse(X3),divide(multiply(X3,X0),divide(X1,multiply(X2,X1)))),
inference(forward_demodulation,[],[f120492,f107017]) ).
fof(f107017,plain,
! [X2,X0,X1] : divide(multiply(X0,X1),X2) = divide(X0,multiply(X2,inverse(X1))),
inference(superposition,[],[f106791,f2]) ).
fof(f120492,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(X0)),X2) = multiply(inverse(X3),divide(X3,multiply(divide(X1,multiply(X2,X1)),inverse(X0)))),
inference(forward_demodulation,[],[f119552,f11496]) ).
fof(f119552,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X3),divide(X3,multiply(divide(X1,multiply(X2,X1)),inverse(X0)))) = inverse(divide(inverse(multiply(multiply(inverse(X4),X0),X2)),X4)),
inference(superposition,[],[f11498,f107636]) ).
fof(f120956,plain,
! [X2,X3,X0,X1] : multiply(divide(X0,X2),multiply(X2,X3)) = multiply(inverse(X1),multiply(multiply(X1,X0),X3)),
inference(superposition,[],[f6206,f119718]) ).
fof(f126134,plain,
! [X2,X3,X0,X1] : multiply(divide(inverse(X0),X3),multiply(X3,X2)) = multiply(X1,multiply(inverse(multiply(X0,X1)),X2)),
inference(superposition,[],[f6208,f122226]) ).
fof(f122226,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f122225,f121391]) ).
fof(f122225,plain,
! [X2,X3] : inverse(inverse(X3)) = multiply(inverse(X2),multiply(X2,X3)),
inference(forward_demodulation,[],[f122224,f108874]) ).
fof(f108874,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f108056,f2]) ).
fof(f122224,plain,
! [X2,X3,X0] : multiply(inverse(X2),multiply(X2,X3)) = inverse(multiply(inverse(multiply(X0,X3)),X0)),
inference(forward_demodulation,[],[f122223,f121391]) ).
fof(f122223,plain,
! [X2,X3,X0] : multiply(inverse(X2),multiply(X2,X3)) = inverse(multiply(inverse(multiply(inverse(inverse(X0)),X3)),X0)),
inference(forward_demodulation,[],[f122222,f119879]) ).
fof(f119879,plain,
! [X2,X0] : multiply(inverse(X0),X2) = multiply(inverse(inverse(inverse(X0))),X2),
inference(forward_demodulation,[],[f119878,f119869]) ).
fof(f119869,plain,
! [X3,X0,X1] : divide(inverse(X3),divide(X0,multiply(X3,multiply(X1,X0)))) = X1,
inference(forward_demodulation,[],[f119868,f119718]) ).
fof(f119868,plain,
! [X2,X3,X0,X1] : divide(divide(X2,multiply(X3,X2)),divide(X0,multiply(X3,multiply(X1,X0)))) = X1,
inference(forward_demodulation,[],[f119194,f106791]) ).
fof(f119194,plain,
! [X2,X3,X0,X1] : divide(divide(X2,multiply(X3,X2)),divide(divide(X0,multiply(X1,X0)),X3)) = X1,
inference(superposition,[],[f107636,f104332]) ).
fof(f119878,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X2) = multiply(inverse(inverse(inverse(X0))),divide(inverse(X3),divide(X1,multiply(X3,multiply(X2,X1))))),
inference(forward_demodulation,[],[f119202,f106791]) ).
fof(f119202,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X2) = multiply(inverse(inverse(inverse(X0))),divide(inverse(X3),divide(divide(X1,multiply(X2,X1)),X3))),
inference(superposition,[],[f22580,f107636]) ).
fof(f22580,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(inverse(X0))),divide(inverse(X2),divide(X1,X2))) = multiply(inverse(X3),divide(X3,multiply(X1,X0))),
inference(superposition,[],[f21890,f16549]) ).
fof(f16549,plain,
! [X2,X3,X0,X1] : multiply(X2,divide(inverse(inverse(X1)),multiply(X0,X1))) = multiply(X2,divide(inverse(X3),divide(X0,X3))),
inference(superposition,[],[f15611,f2]) ).
fof(f15611,plain,
! [X2,X3,X0,X4] : multiply(X0,divide(inverse(X3),divide(X2,X3))) = multiply(X0,divide(inverse(X4),divide(X2,X4))),
inference(superposition,[],[f14360,f14360]) ).
fof(f14360,plain,
! [X2,X3,X0,X1] : multiply(X3,divide(inverse(X0),divide(X1,X0))) = divide(X3,inverse(divide(inverse(X2),divide(X1,X2)))),
inference(superposition,[],[f2,f13678]) ).
fof(f13678,plain,
! [X2,X3,X4] : inverse(divide(inverse(X3),divide(X2,X3))) = inverse(divide(inverse(X4),divide(X2,X4))),
inference(superposition,[],[f11258,f11258]) ).
fof(f11258,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(X2,X3),X0)),divide(X3,X2)) = inverse(divide(inverse(X1),divide(X0,X1))),
inference(superposition,[],[f11064,f1]) ).
fof(f122222,plain,
! [X2,X3,X0] : multiply(inverse(X2),multiply(X2,X3)) = inverse(multiply(inverse(multiply(inverse(inverse(inverse(inverse(X0)))),X3)),X0)),
inference(forward_demodulation,[],[f121242,f120495]) ).
fof(f121242,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(X2,X3)) = inverse(multiply(inverse(multiply(inverse(X1),multiply(multiply(X1,inverse(inverse(X0))),X3))),X0)),
inference(superposition,[],[f12378,f119718]) ).
fof(f12378,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(X1,X2)) = inverse(multiply(inverse(multiply(divide(inverse(inverse(X0)),X3),multiply(X3,X2))),X0)),
inference(superposition,[],[f11506,f6206]) ).
fof(f11506,plain,
! [X2,X0,X1] : multiply(inverse(X1),X2) = inverse(multiply(inverse(multiply(divide(inverse(inverse(X0)),X1),X2)),X0)),
inference(superposition,[],[f11408,f2]) ).
fof(f6208,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(divide(X0,X3),multiply(X3,X2)),
inference(superposition,[],[f6206,f2]) ).
fof(f128641,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(multiply(X1,X2)),X0)),
inference(forward_demodulation,[],[f128640,f122226]) ).
fof(f128640,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(multiply(inverse(X3),multiply(X3,X2)),multiply(inverse(multiply(X1,X2)),X0)),
inference(forward_demodulation,[],[f128639,f128562]) ).
fof(f128562,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X2)),X0) = inverse(multiply(inverse(X0),multiply(X1,X2))),
inference(forward_demodulation,[],[f128561,f123697]) ).
fof(f123697,plain,
! [X3,X1,X4] : multiply(X1,multiply(X3,X4)) = multiply(multiply(X1,X3),X4),
inference(forward_demodulation,[],[f123696,f121651]) ).
fof(f123696,plain,
! [X2,X3,X1,X4] : multiply(multiply(X1,X3),X4) = multiply(divide(X1,X2),multiply(X2,multiply(X3,X4))),
inference(forward_demodulation,[],[f122753,f123438]) ).
fof(f123438,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f123437,f121391]) ).
fof(f123437,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(X0,multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f123436,f123346]) ).
fof(f123346,plain,
! [X3,X0] : inverse(X3) = inverse(multiply(X0,multiply(inverse(X0),X3))),
inference(forward_demodulation,[],[f123345,f121391]) ).
fof(f123345,plain,
! [X3,X0] : inverse(inverse(inverse(X3))) = inverse(multiply(X0,multiply(inverse(X0),X3))),
inference(forward_demodulation,[],[f123344,f120475]) ).
fof(f120475,plain,
! [X3,X0,X4] : divide(inverse(multiply(divide(X3,X4),X0)),divide(X4,X3)) = inverse(inverse(inverse(X0))),
inference(forward_demodulation,[],[f119539,f109684]) ).
fof(f109684,plain,
! [X2,X0,X1] : inverse(X2) = divide(inverse(multiply(divide(X0,multiply(X1,X0)),X2)),X1),
inference(superposition,[],[f108874,f104332]) ).
fof(f119539,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(multiply(divide(X3,X4),X0)),divide(X4,X3)) = inverse(divide(inverse(multiply(divide(X1,multiply(X2,X1)),inverse(X0))),X2)),
inference(superposition,[],[f11262,f107636]) ).
fof(f11262,plain,
! [X2,X3,X0,X1] : divide(inverse(multiply(divide(X2,X3),X0)),divide(X3,X2)) = inverse(divide(inverse(X1),divide(inverse(X0),X1))),
inference(superposition,[],[f11064,f9]) ).
fof(f123344,plain,
! [X2,X3,X0,X1] : divide(inverse(multiply(divide(X1,X2),X3)),divide(X2,X1)) = inverse(multiply(X0,multiply(inverse(X0),X3))),
inference(forward_demodulation,[],[f122642,f122908]) ).
fof(f122908,plain,
! [X2,X3,X1] : divide(X1,divide(inverse(X2),X3)) = multiply(X1,multiply(X3,X2)),
inference(forward_demodulation,[],[f122907,f108056]) ).
fof(f122907,plain,
! [X2,X3,X0,X1] : divide(X1,divide(inverse(X2),X3)) = multiply(X1,multiply(inverse(divide(X0,multiply(X3,X2))),X0)),
inference(forward_demodulation,[],[f122460,f106791]) ).
fof(f122460,plain,
! [X2,X3,X0,X1] : divide(X1,divide(inverse(X2),X3)) = multiply(X1,multiply(inverse(divide(divide(X0,X2),X3)),X0)),
inference(superposition,[],[f10833,f121391]) ).
fof(f10833,plain,
! [X2,X3,X0,X1] : divide(X3,divide(inverse(X1),X2)) = multiply(X3,multiply(inverse(divide(divide(inverse(inverse(X0)),X1),X2)),X0)),
inference(superposition,[],[f10695,f2]) ).
fof(f122642,plain,
! [X2,X3,X0,X1] : divide(inverse(multiply(divide(X1,X2),X3)),divide(X2,X1)) = inverse(divide(X0,divide(inverse(X3),inverse(X0)))),
inference(superposition,[],[f11262,f121391]) ).
fof(f123436,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = inverse(inverse(multiply(X2,multiply(inverse(X2),X1)))),
inference(forward_demodulation,[],[f123435,f121655]) ).
fof(f121655,plain,
! [X2,X3,X0] : multiply(X0,X3) = multiply(multiply(X0,X2),multiply(inverse(X2),X3)),
inference(forward_demodulation,[],[f121654,f121391]) ).
fof(f121654,plain,
! [X2,X3,X0] : multiply(multiply(X0,X2),multiply(inverse(X2),X3)) = multiply(inverse(inverse(X0)),X3),
inference(forward_demodulation,[],[f120958,f120495]) ).
fof(f120958,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X2),multiply(inverse(X2),X3)) = multiply(inverse(X1),multiply(multiply(X1,X0),X3)),
inference(superposition,[],[f6208,f119718]) ).
fof(f123435,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = inverse(inverse(multiply(X2,multiply(multiply(inverse(X2),X3),multiply(inverse(X3),X1))))),
inference(forward_demodulation,[],[f122682,f122920]) ).
fof(f122920,plain,
! [X2,X1] : divide(inverse(X1),X2) = inverse(multiply(X2,X1)),
inference(forward_demodulation,[],[f122919,f108056]) ).
fof(f122919,plain,
! [X2,X0,X1] : divide(inverse(X1),X2) = inverse(multiply(inverse(divide(X0,multiply(X2,X1))),X0)),
inference(forward_demodulation,[],[f122468,f106791]) ).
fof(f122468,plain,
! [X2,X0,X1] : divide(inverse(X1),X2) = inverse(multiply(inverse(divide(divide(X0,X1),X2)),X0)),
inference(superposition,[],[f11294,f121391]) ).
fof(f11294,plain,
! [X2,X0,X1] : divide(inverse(X1),X2) = inverse(multiply(inverse(divide(divide(inverse(inverse(X0)),X1),X2)),X0)),
inference(superposition,[],[f11064,f2]) ).
fof(f122682,plain,
! [X2,X3,X0,X1] : inverse(divide(inverse(multiply(multiply(inverse(X2),X3),multiply(inverse(X3),X1))),X2)) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f11502,f121391]) ).
fof(f11502,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(X1,X2)) = inverse(divide(inverse(multiply(multiply(inverse(X0),X3),multiply(inverse(X3),X2))),X0)),
inference(superposition,[],[f11408,f6208]) ).
fof(f122753,plain,
! [X2,X3,X0,X1,X4] : multiply(divide(X1,X2),multiply(X2,multiply(X3,X4))) = multiply(multiply(X1,X3),multiply(X0,multiply(inverse(X0),X4))),
inference(superposition,[],[f23216,f121391]) ).
fof(f23216,plain,
! [X2,X3,X0,X1,X4] : multiply(divide(X3,X4),multiply(X4,multiply(X0,X1))) = multiply(multiply(X3,X0),multiply(inverse(X2),multiply(X2,X1))),
inference(superposition,[],[f6208,f22958]) ).
fof(f22958,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(inverse(X2),multiply(X2,X1)),
inference(forward_demodulation,[],[f22500,f2]) ).
fof(f22500,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(inverse(X2),divide(X2,inverse(X1))),
inference(superposition,[],[f21890,f2]) ).
fof(f128561,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),X2)) = multiply(inverse(multiply(X1,X2)),X0),
inference(forward_demodulation,[],[f128560,f122920]) ).
fof(f128560,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),X2)) = multiply(divide(inverse(X2),X1),X0),
inference(forward_demodulation,[],[f128559,f123594]) ).
fof(f123594,plain,
! [X2,X3,X1] : multiply(divide(X1,X2),X3) = multiply(X1,multiply(inverse(X2),X3)),
inference(forward_demodulation,[],[f123593,f121391]) ).
fof(f123593,plain,
! [X2,X3,X1] : multiply(X1,multiply(inverse(X2),X3)) = multiply(inverse(inverse(divide(X1,X2))),X3),
inference(forward_demodulation,[],[f123592,f121391]) ).
fof(f123592,plain,
! [X2,X3,X1] : multiply(inverse(inverse(divide(X1,X2))),X3) = inverse(inverse(multiply(X1,multiply(inverse(X2),X3)))),
inference(forward_demodulation,[],[f123591,f119718]) ).
fof(f123591,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(divide(X1,X2))),X3) = inverse(inverse(multiply(X1,multiply(divide(X0,multiply(X2,X0)),X3)))),
inference(forward_demodulation,[],[f123590,f120855]) ).
fof(f120855,plain,
! [X2,X1] : divide(X2,X1) = multiply(X2,inverse(X1)),
inference(superposition,[],[f104332,f119718]) ).
fof(f123590,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(divide(X1,X2))),X3) = inverse(inverse(multiply(X1,multiply(multiply(X0,inverse(multiply(X2,X0))),X3)))),
inference(forward_demodulation,[],[f123589,f122920]) ).
fof(f123589,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(divide(X1,X2))),X3) = inverse(inverse(multiply(X1,multiply(multiply(X0,divide(inverse(X0),X2)),X3)))),
inference(forward_demodulation,[],[f122726,f122920]) ).
fof(f122726,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(divide(X1,X2))),X3) = inverse(divide(inverse(multiply(multiply(X0,divide(inverse(X0),X2)),X3)),X1)),
inference(superposition,[],[f22241,f121391]) ).
fof(f22241,plain,
! [X3,X0,X1,X4] : multiply(inverse(inverse(divide(X0,X1))),X4) = inverse(divide(inverse(multiply(multiply(inverse(X3),divide(X3,X1)),X4)),X0)),
inference(forward_demodulation,[],[f21936,f11408]) ).
fof(f21936,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(inverse(divide(X0,X1))),X4) = inverse(divide(inverse(multiply(inverse(divide(inverse(multiply(divide(inverse(X2),X3),divide(X3,X1))),X2)),X4)),X0)),
inference(superposition,[],[f11496,f11499]) ).
fof(f128559,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),X2)) = multiply(inverse(X2),multiply(inverse(X1),X0)),
inference(forward_demodulation,[],[f128558,f121391]) ).
fof(f128558,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),X2)) = multiply(inverse(inverse(inverse(X2))),multiply(inverse(X1),X0)),
inference(forward_demodulation,[],[f127962,f120142]) ).
fof(f120142,plain,
! [X3,X0] : inverse(inverse(X0)) = inverse(divide(inverse(X3),divide(X0,X3))),
inference(forward_demodulation,[],[f119347,f109684]) ).
fof(f119347,plain,
! [X2,X3,X0,X1] : inverse(divide(inverse(X3),divide(X0,X3))) = inverse(divide(inverse(multiply(divide(X1,multiply(X2,X1)),X0)),X2)),
inference(superposition,[],[f13678,f107636]) ).
fof(f127962,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),X2)) = multiply(inverse(divide(inverse(X3),divide(inverse(X2),X3))),multiply(inverse(X1),X0)),
inference(superposition,[],[f126776,f11274]) ).
fof(f11274,plain,
! [X2,X3,X0,X1] : divide(inverse(multiply(multiply(inverse(X2),X3),X0)),multiply(inverse(X3),X2)) = inverse(divide(inverse(X1),divide(inverse(X0),X1))),
inference(superposition,[],[f11064,f179]) ).
fof(f179,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(inverse(X2),X3)),multiply(multiply(inverse(X1),X0),X2)),multiply(inverse(X0),X1)) = X3,
inference(superposition,[],[f35,f2]) ).
fof(f35,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(inverse(X2),X3)),multiply(multiply(X0,X1),X2)),divide(inverse(X1),X0)) = X3,
inference(superposition,[],[f6,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(X2,X3)),divide(multiply(X0,X1),X2)),divide(inverse(X1),X0)) = X3,
inference(superposition,[],[f1,f2]) ).
fof(f126776,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f125912,f121391]) ).
fof(f125912,plain,
! [X0,X1] : multiply(inverse(inverse(divide(X0,X1))),X1) = X0,
inference(superposition,[],[f122226,f108056]) ).
fof(f128639,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(multiply(inverse(X3),multiply(X3,X2)),inverse(multiply(inverse(X0),multiply(X1,X2)))),
inference(forward_demodulation,[],[f127983,f123697]) ).
fof(f127983,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(multiply(inverse(X3),multiply(X3,X2)),inverse(multiply(multiply(inverse(X0),X1),X2))),
inference(superposition,[],[f126776,f58458]) ).
fof(f58458,plain,
! [X2,X3,X1,X4] : multiply(inverse(X3),multiply(X3,X4)) = divide(inverse(multiply(inverse(X1),X2)),inverse(multiply(multiply(inverse(X1),X2),X4))),
inference(superposition,[],[f57897,f11408]) ).
fof(f57897,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = divide(inverse(inverse(X2)),inverse(multiply(inverse(X2),X1))),
inference(forward_demodulation,[],[f57227,f2]) ).
fof(f57227,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = divide(inverse(inverse(X2)),inverse(divide(inverse(X2),inverse(X1)))),
inference(superposition,[],[f56161,f2]) ).
fof(f56161,plain,
! [X1,X4,X5] : multiply(inverse(X4),divide(X4,X5)) = divide(inverse(inverse(X1)),inverse(divide(inverse(X1),X5))),
inference(superposition,[],[f45367,f1]) ).
fof(f45367,plain,
! [X0,X6,X4,X5] : multiply(inverse(X6),divide(X6,X0)) = divide(inverse(inverse(divide(X5,X4))),inverse(divide(inverse(divide(X5,X4)),X0))),
inference(forward_demodulation,[],[f44741,f11266]) ).
fof(f11266,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(divide(X4,X5),X3)))),divide(X2,X1)) = inverse(divide(inverse(divide(X5,X4)),X0)),
inference(superposition,[],[f11064,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X3,X2) = divide(divide(inverse(X1),divide(divide(X4,X5),divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)))),divide(X5,X4)),
inference(superposition,[],[f1,f1]) ).
fof(f44741,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(X6),divide(X6,X0)) = divide(inverse(inverse(divide(X5,X4))),divide(inverse(divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(divide(X4,X5),X3)))),divide(X2,X1))),
inference(superposition,[],[f22573,f5]) ).
fof(f141308,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = divide(inverse(inverse(X1)),inverse(multiply(inverse(X2),divide(X2,X1)))),
inference(superposition,[],[f58993,f140537]) ).
fof(f140537,plain,
! [X2,X0] : multiply(X2,divide(X0,X0)) = X2,
inference(forward_demodulation,[],[f140536,f122923]) ).
fof(f122923,plain,
! [X2,X1] : divide(X1,X2) = inverse(divide(X2,X1)),
inference(forward_demodulation,[],[f122922,f121391]) ).
fof(f122922,plain,
! [X2,X1] : divide(inverse(inverse(X1)),X2) = inverse(divide(X2,X1)),
inference(forward_demodulation,[],[f122470,f122890]) ).
fof(f122890,plain,
! [X2,X0,X1] : divide(X2,X1) = multiply(inverse(divide(multiply(X0,X1),X2)),X0),
inference(forward_demodulation,[],[f122889,f120855]) ).
fof(f122889,plain,
! [X2,X0,X1] : multiply(X2,inverse(X1)) = multiply(inverse(divide(multiply(X0,X1),X2)),X0),
inference(forward_demodulation,[],[f122888,f122887]) ).
fof(f122887,plain,
! [X2,X1] : multiply(X2,X1) = inverse(divide(inverse(X1),X2)),
inference(forward_demodulation,[],[f122886,f108056]) ).
fof(f122886,plain,
! [X2,X0,X1] : inverse(divide(inverse(X1),X2)) = multiply(inverse(divide(X0,multiply(X2,X1))),X0),
inference(forward_demodulation,[],[f122885,f121391]) ).
fof(f122885,plain,
! [X2,X0,X1] : inverse(divide(inverse(X1),X2)) = multiply(inverse(divide(inverse(inverse(X0)),multiply(X2,X1))),X0),
inference(forward_demodulation,[],[f122448,f106791]) ).
fof(f122448,plain,
! [X2,X0,X1] : inverse(divide(inverse(X1),X2)) = multiply(inverse(divide(divide(inverse(inverse(X0)),X1),X2)),X0),
inference(superposition,[],[f121391,f11294]) ).
fof(f122888,plain,
! [X2,X0,X1] : inverse(divide(inverse(inverse(X1)),X2)) = multiply(inverse(divide(multiply(X0,X1),X2)),X0),
inference(forward_demodulation,[],[f122449,f121391]) ).
fof(f122449,plain,
! [X2,X0,X1] : inverse(divide(inverse(inverse(X1)),X2)) = multiply(inverse(divide(multiply(inverse(inverse(X0)),X1),X2)),X0),
inference(superposition,[],[f121391,f11730]) ).
fof(f11730,plain,
! [X2,X0,X1] : divide(inverse(inverse(X1)),X2) = inverse(multiply(inverse(divide(multiply(inverse(inverse(X0)),X1),X2)),X0)),
inference(superposition,[],[f11257,f2]) ).
fof(f11257,plain,
! [X2,X0,X1] : divide(inverse(inverse(X1)),X2) = inverse(divide(inverse(divide(multiply(inverse(X0),X1),X2)),X0)),
inference(superposition,[],[f11064,f2]) ).
fof(f122470,plain,
! [X2,X0,X1] : divide(inverse(inverse(X1)),X2) = inverse(multiply(inverse(divide(multiply(X0,X1),X2)),X0)),
inference(superposition,[],[f11730,f121391]) ).
fof(f140536,plain,
! [X2,X0] : multiply(X2,inverse(divide(X0,X0))) = X2,
inference(forward_demodulation,[],[f140535,f120855]) ).
fof(f140535,plain,
! [X2,X0] : multiply(X2,inverse(multiply(X0,inverse(X0)))) = X2,
inference(forward_demodulation,[],[f140534,f122920]) ).
fof(f140534,plain,
! [X2,X0] : multiply(X2,divide(inverse(inverse(X0)),X0)) = X2,
inference(forward_demodulation,[],[f139677,f136994]) ).
fof(f136994,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[],[f124960,f106791]) ).
fof(f124960,plain,
! [X2,X1] : divide(divide(X2,X1),inverse(X1)) = X2,
inference(forward_demodulation,[],[f124959,f124642]) ).
fof(f124642,plain,
! [X2,X0,X1] : divide(X2,X1) = multiply(divide(X2,X0),divide(X0,X1)),
inference(forward_demodulation,[],[f124641,f120855]) ).
fof(f124641,plain,
! [X2,X0,X1] : multiply(X2,inverse(X1)) = multiply(divide(X2,X0),divide(X0,X1)),
inference(forward_demodulation,[],[f123890,f121651]) ).
fof(f123890,plain,
! [X2,X3,X0,X1] : multiply(divide(X2,X0),divide(X0,X1)) = multiply(divide(X2,X3),multiply(X3,inverse(X1))),
inference(superposition,[],[f6206,f120855]) ).
fof(f124959,plain,
! [X2,X0,X1] : divide(multiply(divide(X2,X0),divide(X0,X1)),inverse(X1)) = X2,
inference(forward_demodulation,[],[f124958,f107185]) ).
fof(f107185,plain,
! [X2,X0,X1] : multiply(divide(X0,X1),X2) = divide(X0,multiply(inverse(X2),X1)),
inference(superposition,[],[f106791,f2]) ).
fof(f124958,plain,
! [X2,X0,X1] : divide(divide(X2,multiply(inverse(divide(X0,X1)),X0)),inverse(X1)) = X2,
inference(forward_demodulation,[],[f124957,f119718]) ).
fof(f124957,plain,
! [X2,X3,X0,X1] : divide(divide(X2,multiply(divide(X3,multiply(divide(X0,X1),X3)),X0)),inverse(X1)) = X2,
inference(forward_demodulation,[],[f124956,f106791]) ).
fof(f124956,plain,
! [X2,X3,X0,X1] : divide(divide(X2,multiply(divide(divide(X3,X3),divide(X0,X1)),X0)),inverse(X1)) = X2,
inference(forward_demodulation,[],[f124955,f106791]) ).
fof(f124955,plain,
! [X2,X3,X0,X1] : divide(divide(divide(X2,X0),divide(divide(X3,X3),divide(X0,X1))),inverse(X1)) = X2,
inference(forward_demodulation,[],[f124954,f124180]) ).
fof(f124180,plain,
! [X2,X3,X1] : divide(X3,divide(X2,X1)) = divide(multiply(X3,X1),X2),
inference(forward_demodulation,[],[f124179,f122923]) ).
fof(f124179,plain,
! [X2,X3,X1] : divide(multiply(X3,X1),X2) = divide(X3,inverse(divide(X1,X2))),
inference(forward_demodulation,[],[f124178,f122799]) ).
fof(f122799,plain,
! [X2,X0,X1] : inverse(divide(X1,X2)) = divide(inverse(divide(multiply(inverse(X0),X1),X2)),X0),
inference(forward_demodulation,[],[f122412,f121391]) ).
fof(f122412,plain,
! [X2,X0,X1] : inverse(divide(inverse(inverse(X1)),X2)) = divide(inverse(divide(multiply(inverse(X0),X1),X2)),X0),
inference(superposition,[],[f121391,f11257]) ).
fof(f124178,plain,
! [X2,X3,X0,X1] : divide(X3,divide(inverse(divide(multiply(inverse(X0),X1),X2)),X0)) = divide(multiply(X3,X1),X2),
inference(forward_demodulation,[],[f124177,f107017]) ).
fof(f124177,plain,
! [X2,X3,X0,X1] : divide(X3,divide(inverse(divide(multiply(inverse(X0),X1),X2)),X0)) = divide(X3,multiply(X2,inverse(X1))),
inference(forward_demodulation,[],[f124176,f120855]) ).
fof(f124176,plain,
! [X2,X3,X0,X1] : divide(X3,divide(inverse(divide(multiply(inverse(X0),X1),X2)),X0)) = multiply(X3,inverse(multiply(X2,inverse(X1)))),
inference(forward_demodulation,[],[f123791,f122920]) ).
fof(f123791,plain,
! [X2,X3,X0,X1] : divide(X3,divide(inverse(divide(multiply(inverse(X0),X1),X2)),X0)) = multiply(X3,divide(inverse(inverse(X1)),X2)),
inference(superposition,[],[f120855,f11257]) ).
fof(f124954,plain,
! [X2,X3,X0,X1] : divide(divide(multiply(divide(X2,X0),divide(X0,X1)),divide(X3,X3)),inverse(X1)) = X2,
inference(forward_demodulation,[],[f123971,f124180]) ).
fof(f123971,plain,
! [X2,X3,X0,X1] : divide(divide(multiply(multiply(divide(X2,X0),divide(X0,X1)),X3),X3),inverse(X1)) = X2,
inference(superposition,[],[f102905,f120855]) ).
fof(f139677,plain,
! [X2,X0,X1] : multiply(X2,divide(inverse(inverse(X0)),X0)) = divide(X2,multiply(inverse(inverse(X1)),inverse(X1))),
inference(superposition,[],[f12171,f126799]) ).
fof(f126799,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f125918,f121391]) ).
fof(f125918,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(X0,X1))),inverse(X1)) = X0,
inference(superposition,[],[f122226,f108874]) ).
fof(f12171,plain,
! [X2,X3,X0,X1] : multiply(X3,divide(inverse(multiply(multiply(inverse(X0),X1),X2)),X0)) = divide(X3,multiply(inverse(inverse(X1)),X2)),
inference(superposition,[],[f2,f11496]) ).
fof(f58993,plain,
! [X3,X0,X1,X4] : multiply(inverse(X4),multiply(X4,divide(X0,X1))) = divide(inverse(inverse(X0)),inverse(multiply(inverse(X3),divide(X3,X1)))),
inference(forward_demodulation,[],[f58495,f11408]) ).
fof(f58495,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X4),multiply(X4,divide(X0,X1))) = divide(inverse(inverse(X0)),inverse(inverse(divide(inverse(multiply(divide(inverse(X2),X3),divide(X3,X1))),X2)))),
inference(superposition,[],[f57897,f11499]) ).
fof(f170761,plain,
! [X0] : multiply(inverse(a1),a1) != divide(X0,X0),
inference(superposition,[],[f3,f141931]) ).
fof(f3,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP472-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:31:16 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (5011)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (5014)WARNING: value z3 for option sas not known
% 0.15/0.38 % (5015)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (5012)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (5013)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (5016)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)
% 0.15/0.38 % (5014)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)
% 0.15/0.38 % (5017)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)
% 0.15/0.38 % (5018)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.21/0.41 TRYING [4]
% 0.21/0.49 TRYING [5]
% 3.02/0.78 TRYING [5]
% 3.02/0.84 TRYING [6]
% 7.84/1.48 TRYING [1]
% 7.84/1.48 TRYING [2]
% 7.84/1.48 TRYING [3]
% 7.84/1.48 TRYING [4]
% 7.84/1.53 TRYING [5]
% 11.74/2.04 TRYING [6]
% 24.21/3.83 TRYING [7]
% 30.75/4.76 % (5018)First to succeed.
% 30.75/4.79 % (5018)Refutation found. Thanks to Tanya!
% 30.75/4.79 % SZS status Unsatisfiable for theBenchmark
% 30.75/4.79 % SZS output start Proof for theBenchmark
% See solution above
% 30.75/4.79 % (5018)------------------------------
% 30.75/4.79 % (5018)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 30.75/4.79 % (5018)Termination reason: Refutation
% 30.75/4.79
% 30.75/4.79 % (5018)Memory used [KB]: 91296
% 30.75/4.79 % (5018)Time elapsed: 4.410 s
% 30.75/4.79 % (5018)Instructions burned: 13780 (million)
% 30.75/4.79 % (5018)------------------------------
% 30.75/4.79 % (5018)------------------------------
% 30.75/4.79 % (5011)Success in time 4.359 s
%------------------------------------------------------------------------------