TSTP Solution File: GRP072-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP072-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Sun May 5 05:53:17 EDT 2024
% Result : Unsatisfiable 34.17s 5.26s
% Output : Refutation 34.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 88
% Number of leaves : 3
% Syntax : Number of formulae : 297 ( 294 unt; 0 def)
% Number of atoms : 302 ( 301 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 1084 (1084 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f187845,plain,
$false,
inference(subsumption_resolution,[],[f187844,f133061]) ).
fof(f133061,plain,
! [X3,X1,X4] : multiply(X1,multiply(X3,X4)) = multiply(multiply(X1,X3),X4),
inference(forward_demodulation,[],[f133060,f131005]) ).
fof(f131005,plain,
! [X2,X3,X0] : multiply(X0,X3) = multiply(divide(X0,X2),multiply(X2,X3)),
inference(forward_demodulation,[],[f131004,f130762]) ).
fof(f130762,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f130761,f118692]) ).
fof(f118692,plain,
! [X3,X0,X1] : divide(divide(X0,X1),multiply(inverse(inverse(X3)),divide(inverse(X3),X1))) = X0,
inference(forward_demodulation,[],[f118186,f10965]) ).
fof(f10965,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X1)),X2) = inverse(divide(inverse(multiply(multiply(inverse(X0),X1),X2)),X0)),
inference(superposition,[],[f10878,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f10878,plain,
! [X2,X0,X1] : multiply(inverse(X1),X2) = inverse(divide(inverse(multiply(divide(inverse(X0),X1),X2)),X0)),
inference(forward_demodulation,[],[f10765,f2]) ).
fof(f10765,plain,
! [X2,X0,X1] : divide(inverse(X1),inverse(X2)) = inverse(divide(inverse(multiply(divide(inverse(X0),X1),X2)),X0)),
inference(superposition,[],[f10537,f2]) ).
fof(f10537,plain,
! [X2,X3,X1] : divide(inverse(X2),X3) = inverse(divide(inverse(divide(divide(inverse(X1),X2),X3)),X1)),
inference(forward_demodulation,[],[f10320,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(f10320,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,f10169]) ).
fof(f10169,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(f118186,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,[],[f118133,f10967]) ).
fof(f10967,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,[],[f10878,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(f118133,plain,
! [X2,X4] : divide(X2,multiply(inverse(X4),X2)) = X4,
inference(forward_demodulation,[],[f117799,f109514]) ).
fof(f109514,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,[],[f105685,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(f105685,plain,
! [X2,X3,X0,X1] : divide(divide(X3,X2),divide(X1,multiply(multiply(divide(X2,X3),X0),X1))) = X0,
inference(forward_demodulation,[],[f105684,f2]) ).
fof(f105684,plain,
! [X2,X3,X0,X1] : divide(divide(X3,X2),divide(X1,multiply(divide(divide(X2,X3),inverse(X0)),X1))) = X0,
inference(forward_demodulation,[],[f104993,f2]) ).
fof(f104993,plain,
! [X2,X3,X0,X1] : divide(divide(X3,X2),divide(X1,divide(divide(divide(X2,X3),inverse(X0)),inverse(X1)))) = X0,
inference(superposition,[],[f104242,f104242]) ).
fof(f104242,plain,
! [X2,X0,X1,X4] : divide(X2,divide(divide(inverse(X4),divide(divide(X0,X1),X2)),divide(X1,X0))) = X4,
inference(superposition,[],[f10770,f12]) ).
fof(f10770,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,f10537]) ).
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(f117799,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,[],[f104242,f114741]) ).
fof(f114741,plain,
! [X2,X3,X0,X1] : divide(divide(multiply(multiply(divide(X0,X1),multiply(X1,X2)),X3),X3),X2) = X0,
inference(forward_demodulation,[],[f114504,f2]) ).
fof(f114504,plain,
! [X2,X3,X0,X1] : divide(divide(multiply(multiply(divide(X0,X1),divide(X1,inverse(X2))),X3),X3),X2) = X0,
inference(superposition,[],[f105874,f113177]) ).
fof(f113177,plain,
! [X2,X0,X1] : divide(multiply(X0,X2),X2) = multiply(multiply(X0,inverse(X1)),X1),
inference(superposition,[],[f112444,f2]) ).
fof(f112444,plain,
! [X0,X6,X5] : divide(multiply(X0,X5),X5) = divide(multiply(X0,X6),X6),
inference(superposition,[],[f112024,f5625]) ).
fof(f112024,plain,
! [X2,X0,X1,X4] : divide(multiply(multiply(X0,X1),X2),X2) = divide(multiply(multiply(X0,X1),X4),X4),
inference(superposition,[],[f105874,f105886]) ).
fof(f105886,plain,
! [X0,X1,X6,X4] : multiply(divide(divide(multiply(multiply(X4,X0),X1),X1),X6),divide(X6,X0)) = X4,
inference(forward_demodulation,[],[f105885,f2]) ).
fof(f105885,plain,
! [X0,X1,X6,X4] : multiply(divide(divide(multiply(divide(X4,inverse(X0)),X1),X1),X6),divide(X6,X0)) = X4,
inference(forward_demodulation,[],[f105442,f105201]) ).
fof(f105201,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,f104242]) ).
fof(f105442,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,f104242]) ).
fof(f105874,plain,
! [X0,X1,X4,X5] : divide(multiply(multiply(multiply(divide(X4,X5),divide(X5,X0)),X0),X1),X1) = X4,
inference(forward_demodulation,[],[f105873,f2]) ).
fof(f105873,plain,
! [X0,X1,X4,X5] : divide(multiply(divide(multiply(divide(X4,X5),divide(X5,X0)),inverse(X0)),X1),X1) = X4,
inference(forward_demodulation,[],[f105433,f105201]) ).
fof(f105433,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,f104242]) ).
fof(f130761,plain,
! [X3,X0,X1] : inverse(inverse(X0)) = divide(divide(X0,X1),multiply(inverse(inverse(X3)),divide(inverse(X3),X1))),
inference(forward_demodulation,[],[f130106,f10965]) ).
fof(f130106,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,[],[f129045,f10967]) ).
fof(f129045,plain,
! [X0,X4] : inverse(X0) = divide(X4,multiply(X0,X4)),
inference(forward_demodulation,[],[f128366,f118191]) ).
fof(f118191,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,[],[f118133,f21915]) ).
fof(f21915,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,[],[f21236,f10169]) ).
fof(f21236,plain,
! [X2,X3,X4] : multiply(inverse(X3),divide(X3,X2)) = multiply(inverse(X4),divide(X4,X2)),
inference(superposition,[],[f10968,f10968]) ).
fof(f10968,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,[],[f10878,f5628]) ).
fof(f128366,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,[],[f121281,f21915]) ).
fof(f121281,plain,
! [X2,X3,X1] : divide(X3,multiply(divide(X1,multiply(X2,X1)),X3)) = X2,
inference(forward_demodulation,[],[f121280,f120401]) ).
fof(f120401,plain,
! [X2,X0,X4] : divide(X4,multiply(X2,X0)) = divide(divide(X4,X0),X2),
inference(forward_demodulation,[],[f120058,f118904]) ).
fof(f118904,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,[],[f117801,f5804]) ).
fof(f117801,plain,
! [X2,X0,X1] : divide(X0,X1) = multiply(X0,divide(X2,multiply(X1,X2))),
inference(superposition,[],[f105886,f114741]) ).
fof(f120058,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,f119525]) ).
fof(f119525,plain,
! [X2,X1] : inverse(divide(X1,multiply(X2,X1))) = X2,
inference(forward_demodulation,[],[f119000,f1]) ).
fof(f119000,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,f117801]) ).
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(f121280,plain,
! [X2,X3,X1] : divide(X3,multiply(divide(divide(X1,X1),X2),X3)) = X2,
inference(forward_demodulation,[],[f120851,f118955]) ).
fof(f118955,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X1),X2) = multiply(divide(X0,X3),divide(X3,multiply(X2,X1))),
inference(superposition,[],[f117801,f5628]) ).
fof(f120851,plain,
! [X2,X3,X0,X1] : divide(X3,multiply(multiply(divide(X1,X0),divide(X0,multiply(X2,X1))),X3)) = X2,
inference(superposition,[],[f105798,f120401]) ).
fof(f105798,plain,
! [X2,X3,X0,X1] : divide(X3,multiply(multiply(divide(X1,X0),divide(divide(X0,X1),X2)),X3)) = X2,
inference(forward_demodulation,[],[f105367,f2]) ).
fof(f105367,plain,
! [X2,X3,X0,X1] : divide(X3,multiply(divide(divide(X1,X0),inverse(divide(divide(X0,X1),X2))),X3)) = X2,
inference(superposition,[],[f10,f104242]) ).
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(f131004,plain,
! [X2,X3,X0] : multiply(divide(X0,X2),multiply(X2,X3)) = multiply(inverse(inverse(X0)),X3),
inference(forward_demodulation,[],[f130308,f129817]) ).
fof(f129817,plain,
! [X2,X3,X0] : multiply(inverse(inverse(X0)),X2) = multiply(inverse(X3),multiply(multiply(X3,X0),X2)),
inference(forward_demodulation,[],[f129816,f2]) ).
fof(f129816,plain,
! [X2,X3,X0] : multiply(inverse(inverse(X0)),X2) = multiply(inverse(X3),divide(multiply(X3,X0),inverse(X2))),
inference(forward_demodulation,[],[f129815,f129045]) ).
fof(f129815,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,[],[f129814,f120637]) ).
fof(f120637,plain,
! [X2,X0,X1] : divide(multiply(X0,X1),X2) = divide(X0,multiply(X2,inverse(X1))),
inference(superposition,[],[f120401,f2]) ).
fof(f129814,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,[],[f128864,f10965]) ).
fof(f128864,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,[],[f10967,f121281]) ).
fof(f130308,plain,
! [X2,X3,X0,X1] : multiply(divide(X0,X2),multiply(X2,X3)) = multiply(inverse(X1),multiply(multiply(X1,X0),X3)),
inference(superposition,[],[f6206,f129045]) ).
fof(f133060,plain,
! [X2,X3,X1,X4] : multiply(multiply(X1,X3),X4) = multiply(divide(X1,X2),multiply(X2,multiply(X3,X4))),
inference(forward_demodulation,[],[f132111,f132799]) ).
fof(f132799,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f132798,f130762]) ).
fof(f132798,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(X0,multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f132797,f132707]) ).
fof(f132707,plain,
! [X3,X0] : inverse(X3) = inverse(multiply(X0,multiply(inverse(X0),X3))),
inference(forward_demodulation,[],[f132706,f130762]) ).
fof(f132706,plain,
! [X3,X0] : inverse(inverse(inverse(X3))) = inverse(multiply(X0,multiply(inverse(X0),X3))),
inference(forward_demodulation,[],[f132705,f129797]) ).
fof(f129797,plain,
! [X3,X0,X4] : divide(inverse(multiply(divide(X3,X4),X0)),divide(X4,X3)) = inverse(inverse(inverse(X0))),
inference(forward_demodulation,[],[f128851,f123429]) ).
fof(f123429,plain,
! [X2,X0,X1] : inverse(X2) = divide(inverse(multiply(divide(X0,multiply(X1,X0)),X2)),X1),
inference(superposition,[],[f122562,f117801]) ).
fof(f122562,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f121712,f2]) ).
fof(f121712,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(superposition,[],[f121236,f2]) ).
fof(f121236,plain,
! [X0,X1] : divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(forward_demodulation,[],[f120777,f119941]) ).
fof(f119941,plain,
! [X2,X3,X1] : inverse(X3) = multiply(divide(X1,X2),divide(divide(X2,X1),X3)),
inference(superposition,[],[f119525,f105798]) ).
fof(f120777,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X0,X1)),multiply(divide(X3,X2),divide(divide(X2,X3),X0))) = X1,
inference(superposition,[],[f120401,f1]) ).
fof(f128851,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,[],[f10735,f121281]) ).
fof(f10735,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,[],[f10537,f9]) ).
fof(f132705,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,[],[f132000,f132276]) ).
fof(f132276,plain,
! [X2,X3,X1] : divide(X1,divide(inverse(X2),X3)) = multiply(X1,multiply(X3,X2)),
inference(forward_demodulation,[],[f132275,f121712]) ).
fof(f132275,plain,
! [X2,X3,X0,X1] : divide(X1,divide(inverse(X2),X3)) = multiply(X1,multiply(inverse(divide(X0,multiply(X3,X2))),X0)),
inference(forward_demodulation,[],[f131818,f120401]) ).
fof(f131818,plain,
! [X2,X3,X0,X1] : divide(X1,divide(inverse(X2),X3)) = multiply(X1,multiply(inverse(divide(divide(X0,X2),X3)),X0)),
inference(superposition,[],[f10306,f130762]) ).
fof(f10306,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,[],[f10169,f2]) ).
fof(f132000,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,[],[f10735,f130762]) ).
fof(f132797,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = inverse(inverse(multiply(X2,multiply(inverse(X2),X1)))),
inference(forward_demodulation,[],[f132796,f131009]) ).
fof(f131009,plain,
! [X2,X3,X0] : multiply(X0,X3) = multiply(multiply(X0,X2),multiply(inverse(X2),X3)),
inference(forward_demodulation,[],[f131008,f130762]) ).
fof(f131008,plain,
! [X2,X3,X0] : multiply(multiply(X0,X2),multiply(inverse(X2),X3)) = multiply(inverse(inverse(X0)),X3),
inference(forward_demodulation,[],[f130310,f129817]) ).
fof(f130310,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X2),multiply(inverse(X2),X3)) = multiply(inverse(X1),multiply(multiply(X1,X0),X3)),
inference(superposition,[],[f6208,f129045]) ).
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(f132796,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,[],[f132040,f132288]) ).
fof(f132288,plain,
! [X2,X1] : divide(inverse(X1),X2) = inverse(multiply(X2,X1)),
inference(forward_demodulation,[],[f132287,f121712]) ).
fof(f132287,plain,
! [X2,X0,X1] : divide(inverse(X1),X2) = inverse(multiply(inverse(divide(X0,multiply(X2,X1))),X0)),
inference(forward_demodulation,[],[f131826,f120401]) ).
fof(f131826,plain,
! [X2,X0,X1] : divide(inverse(X1),X2) = inverse(multiply(inverse(divide(divide(X0,X1),X2)),X0)),
inference(superposition,[],[f10766,f130762]) ).
fof(f10766,plain,
! [X2,X0,X1] : divide(inverse(X1),X2) = inverse(multiply(inverse(divide(divide(inverse(inverse(X0)),X1),X2)),X0)),
inference(superposition,[],[f10537,f2]) ).
fof(f132040,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,[],[f10971,f130762]) ).
fof(f10971,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,[],[f10878,f6208]) ).
fof(f132111,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,[],[f22557,f130762]) ).
fof(f22557,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,f22299]) ).
fof(f22299,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(inverse(X2),multiply(X2,X1)),
inference(forward_demodulation,[],[f21843,f2]) ).
fof(f21843,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(inverse(X2),divide(X2,inverse(X1))),
inference(superposition,[],[f21236,f2]) ).
fof(f187844,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(subsumption_resolution,[],[f187843,f153946]) ).
fof(f153946,plain,
! [X2,X0] : multiply(inverse(X2),X2) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f153945,f152671]) ).
fof(f152671,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(superposition,[],[f151788,f134495]) ).
fof(f134495,plain,
! [X2,X0] : multiply(divide(X0,X2),X2) = X0,
inference(forward_demodulation,[],[f134494,f130211]) ).
fof(f130211,plain,
! [X2,X1] : divide(X2,X1) = multiply(X2,inverse(X1)),
inference(superposition,[],[f117801,f129045]) ).
fof(f134494,plain,
! [X2,X0] : multiply(multiply(X0,inverse(X2)),X2) = X0,
inference(forward_demodulation,[],[f133373,f134492]) ).
fof(f134492,plain,
! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f133371,f134230]) ).
fof(f134230,plain,
! [X3,X4] : divide(multiply(X4,X3),X3) = X4,
inference(forward_demodulation,[],[f134229,f133688]) ).
fof(f133688,plain,
! [X3,X1,X4] : multiply(X4,X1) = multiply(X4,multiply(divide(X1,X3),X3)),
inference(forward_demodulation,[],[f133687,f2]) ).
fof(f133687,plain,
! [X3,X1,X4] : divide(X4,inverse(X1)) = multiply(X4,multiply(divide(X1,X3),X3)),
inference(forward_demodulation,[],[f133686,f130719]) ).
fof(f130719,plain,
! [X2,X0] : inverse(X0) = divide(inverse(X2),divide(X0,X2)),
inference(forward_demodulation,[],[f130071,f129045]) ).
fof(f130071,plain,
! [X2,X0,X1] : inverse(X0) = divide(divide(X1,multiply(X2,X1)),divide(X0,X2)),
inference(superposition,[],[f129045,f117801]) ).
fof(f133686,plain,
! [X3,X0,X1,X4] : divide(X4,divide(inverse(X0),divide(X1,X0))) = multiply(X4,multiply(divide(X1,X3),X3)),
inference(forward_demodulation,[],[f133685,f132799]) ).
fof(f133685,plain,
! [X2,X3,X0,X1,X4] : divide(X4,divide(inverse(X0),divide(X1,X0))) = multiply(X4,multiply(divide(X1,multiply(X2,multiply(inverse(X2),X3))),X3)),
inference(forward_demodulation,[],[f133684,f132291]) ).
fof(f132291,plain,
! [X2,X1] : divide(X1,X2) = inverse(divide(X2,X1)),
inference(forward_demodulation,[],[f132290,f130762]) ).
fof(f132290,plain,
! [X2,X1] : divide(inverse(inverse(X1)),X2) = inverse(divide(X2,X1)),
inference(forward_demodulation,[],[f131828,f132258]) ).
fof(f132258,plain,
! [X2,X0,X1] : divide(X2,X1) = multiply(inverse(divide(multiply(X0,X1),X2)),X0),
inference(forward_demodulation,[],[f132257,f130211]) ).
fof(f132257,plain,
! [X2,X0,X1] : multiply(X2,inverse(X1)) = multiply(inverse(divide(multiply(X0,X1),X2)),X0),
inference(forward_demodulation,[],[f132256,f132255]) ).
fof(f132255,plain,
! [X2,X1] : multiply(X2,X1) = inverse(divide(inverse(X1),X2)),
inference(forward_demodulation,[],[f132254,f121712]) ).
fof(f132254,plain,
! [X2,X0,X1] : inverse(divide(inverse(X1),X2)) = multiply(inverse(divide(X0,multiply(X2,X1))),X0),
inference(forward_demodulation,[],[f132253,f130762]) ).
fof(f132253,plain,
! [X2,X0,X1] : inverse(divide(inverse(X1),X2)) = multiply(inverse(divide(inverse(inverse(X0)),multiply(X2,X1))),X0),
inference(forward_demodulation,[],[f131806,f120401]) ).
fof(f131806,plain,
! [X2,X0,X1] : inverse(divide(inverse(X1),X2)) = multiply(inverse(divide(divide(inverse(inverse(X0)),X1),X2)),X0),
inference(superposition,[],[f130762,f10766]) ).
fof(f132256,plain,
! [X2,X0,X1] : inverse(divide(inverse(inverse(X1)),X2)) = multiply(inverse(divide(multiply(X0,X1),X2)),X0),
inference(forward_demodulation,[],[f131807,f130762]) ).
fof(f131807,plain,
! [X2,X0,X1] : inverse(divide(inverse(inverse(X1)),X2)) = multiply(inverse(divide(multiply(inverse(inverse(X0)),X1),X2)),X0),
inference(superposition,[],[f130762,f11196]) ).
fof(f11196,plain,
! [X2,X0,X1] : divide(inverse(inverse(X1)),X2) = inverse(multiply(inverse(divide(multiply(inverse(inverse(X0)),X1),X2)),X0)),
inference(superposition,[],[f10730,f2]) ).
fof(f10730,plain,
! [X2,X0,X1] : divide(inverse(inverse(X1)),X2) = inverse(divide(inverse(divide(multiply(inverse(X0),X1),X2)),X0)),
inference(superposition,[],[f10537,f2]) ).
fof(f131828,plain,
! [X2,X0,X1] : divide(inverse(inverse(X1)),X2) = inverse(multiply(inverse(divide(multiply(X0,X1),X2)),X0)),
inference(superposition,[],[f11196,f130762]) ).
fof(f133684,plain,
! [X2,X3,X0,X1,X4] : divide(X4,divide(inverse(X0),divide(X1,X0))) = multiply(X4,multiply(inverse(divide(multiply(X2,multiply(inverse(X2),X3)),X1)),X3)),
inference(forward_demodulation,[],[f133683,f133065]) ).
fof(f133065,plain,
! [X2,X3,X1] : divide(multiply(X1,X2),X3) = multiply(X1,divide(X2,X3)),
inference(forward_demodulation,[],[f133064,f130762]) ).
fof(f133064,plain,
! [X2,X3,X1] : multiply(X1,divide(X2,X3)) = divide(inverse(inverse(multiply(X1,X2))),X3),
inference(forward_demodulation,[],[f133063,f130762]) ).
fof(f133063,plain,
! [X2,X3,X1] : divide(inverse(inverse(multiply(X1,X2))),X3) = inverse(inverse(multiply(X1,divide(X2,X3)))),
inference(forward_demodulation,[],[f133062,f132799]) ).
fof(f133062,plain,
! [X2,X3,X0,X1] : divide(inverse(inverse(multiply(X1,X2))),X3) = inverse(inverse(multiply(X1,divide(multiply(X0,multiply(inverse(X0),X2)),X3)))),
inference(forward_demodulation,[],[f132112,f132288]) ).
fof(f132112,plain,
! [X2,X3,X0,X1] : divide(inverse(inverse(multiply(X1,X2))),X3) = inverse(divide(inverse(divide(multiply(X0,multiply(inverse(X0),X2)),X3)),X1)),
inference(superposition,[],[f22562,f130762]) ).
fof(f22562,plain,
! [X2,X3,X0,X1] : divide(inverse(inverse(multiply(X0,X1))),X3) = inverse(divide(inverse(divide(multiply(inverse(X2),multiply(X2,X1)),X3)),X0)),
inference(superposition,[],[f10730,f22299]) ).
fof(f133683,plain,
! [X2,X3,X0,X1,X4] : divide(X4,divide(inverse(X0),divide(X1,X0))) = multiply(X4,multiply(inverse(multiply(X2,divide(multiply(inverse(X2),X3),X1))),X3)),
inference(forward_demodulation,[],[f133682,f132288]) ).
fof(f133682,plain,
! [X2,X3,X0,X1,X4] : divide(X4,divide(inverse(X0),divide(X1,X0))) = multiply(X4,multiply(divide(inverse(divide(multiply(inverse(X2),X3),X1)),X2),X3)),
inference(forward_demodulation,[],[f133197,f120816]) ).
fof(f120816,plain,
! [X2,X0,X1] : multiply(divide(X0,X1),X2) = divide(X0,multiply(inverse(X2),X1)),
inference(superposition,[],[f120401,f2]) ).
fof(f133197,plain,
! [X2,X3,X0,X1,X4] : divide(X4,divide(inverse(X0),divide(X1,X0))) = multiply(X4,divide(inverse(divide(multiply(inverse(X2),X3),X1)),multiply(inverse(X3),X2))),
inference(superposition,[],[f130211,f10742]) ).
fof(f10742,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(multiply(inverse(X2),X3),X0)),multiply(inverse(X3),X2)) = inverse(divide(inverse(X1),divide(X0,X1))),
inference(superposition,[],[f10537,f36]) ).
fof(f36,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(X2,X3)),divide(multiply(inverse(X1),X0),X2)),multiply(inverse(X0),X1)) = 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(f134229,plain,
! [X3,X0,X4] : divide(multiply(X4,multiply(divide(X3,X0),X0)),X3) = X4,
inference(forward_demodulation,[],[f134228,f133688]) ).
fof(f134228,plain,
! [X3,X0,X1,X4] : divide(multiply(X4,multiply(divide(X3,X0),multiply(divide(X0,X1),X1))),X3) = X4,
inference(forward_demodulation,[],[f134227,f133061]) ).
fof(f134227,plain,
! [X3,X0,X1,X4] : divide(multiply(X4,multiply(multiply(divide(X3,X0),divide(X0,X1)),X1)),X3) = X4,
inference(forward_demodulation,[],[f134226,f133061]) ).
fof(f134226,plain,
! [X3,X0,X1,X4] : divide(multiply(multiply(X4,multiply(divide(X3,X0),divide(X0,X1))),X1),X3) = X4,
inference(forward_demodulation,[],[f134225,f2]) ).
fof(f134225,plain,
! [X3,X0,X1,X4] : divide(divide(multiply(X4,multiply(divide(X3,X0),divide(X0,X1))),inverse(X1)),X3) = X4,
inference(forward_demodulation,[],[f134224,f133065]) ).
fof(f134224,plain,
! [X3,X0,X1,X4] : divide(multiply(X4,divide(multiply(divide(X3,X0),divide(X0,X1)),inverse(X1))),X3) = X4,
inference(forward_demodulation,[],[f134223,f2]) ).
fof(f134223,plain,
! [X3,X0,X1,X4] : divide(divide(X4,inverse(divide(multiply(divide(X3,X0),divide(X0,X1)),inverse(X1)))),X3) = X4,
inference(forward_demodulation,[],[f134222,f129017]) ).
fof(f129017,plain,
! [X3,X0,X4,X5] : inverse(divide(multiply(X4,X3),X0)) = divide(X5,multiply(divide(multiply(X4,X3),X0),X5)),
inference(forward_demodulation,[],[f129016,f120637]) ).
fof(f129016,plain,
! [X3,X0,X4,X5] : inverse(divide(X4,multiply(X0,inverse(X3)))) = divide(X5,multiply(divide(multiply(X4,X3),X0),X5)),
inference(forward_demodulation,[],[f129015,f120401]) ).
fof(f129015,plain,
! [X3,X0,X4,X5] : inverse(divide(divide(X4,inverse(X3)),X0)) = divide(X5,multiply(divide(multiply(X4,X3),X0),X5)),
inference(forward_demodulation,[],[f128351,f119872]) ).
fof(f119872,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(divide(X4,X3),X0)) = divide(divide(multiply(divide(X0,X1),divide(X1,X2)),divide(inverse(X3),X2)),X4),
inference(superposition,[],[f119525,f5625]) ).
fof(f128351,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(multiply(divide(X0,X1),divide(X1,X2)),divide(inverse(inverse(X3)),X2)),X4) = divide(X5,multiply(divide(multiply(X4,X3),X0),X5)),
inference(superposition,[],[f121281,f7460]) ).
fof(f7460,plain,
! [X2,X3,X0,X1,X4] : multiply(divide(divide(multiply(divide(X2,X3),divide(X3,X4)),divide(inverse(inverse(X1)),X4)),X0),multiply(X0,X1)) = X2,
inference(superposition,[],[f5625,f2]) ).
fof(f134222,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X4,divide(X2,multiply(divide(multiply(divide(X3,X0),divide(X0,X1)),inverse(X1)),X2))),X3) = X4,
inference(forward_demodulation,[],[f134221,f2]) ).
fof(f134221,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X4,divide(X2,divide(divide(multiply(divide(X3,X0),divide(X0,X1)),inverse(X1)),inverse(X2)))),X3) = X4,
inference(forward_demodulation,[],[f134220,f133598]) ).
fof(f133598,plain,
! [X2,X3,X1] : divide(X3,divide(X2,X1)) = divide(multiply(X3,X1),X2),
inference(forward_demodulation,[],[f133597,f132799]) ).
fof(f133597,plain,
! [X2,X3,X0,X1] : divide(multiply(X3,X1),X2) = divide(X3,divide(X2,multiply(X0,multiply(inverse(X0),X1)))),
inference(forward_demodulation,[],[f133596,f132291]) ).
fof(f133596,plain,
! [X2,X3,X0,X1] : divide(multiply(X3,X1),X2) = divide(X3,inverse(divide(multiply(X0,multiply(inverse(X0),X1)),X2))),
inference(forward_demodulation,[],[f133595,f133065]) ).
fof(f133595,plain,
! [X2,X3,X0,X1] : divide(multiply(X3,X1),X2) = divide(X3,inverse(multiply(X0,divide(multiply(inverse(X0),X1),X2)))),
inference(forward_demodulation,[],[f133594,f132288]) ).
fof(f133594,plain,
! [X2,X3,X0,X1] : divide(X3,divide(inverse(divide(multiply(inverse(X0),X1),X2)),X0)) = divide(multiply(X3,X1),X2),
inference(forward_demodulation,[],[f133593,f120637]) ).
fof(f133593,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,[],[f133592,f120401]) ).
fof(f133592,plain,
! [X2,X3,X0,X1] : divide(X3,divide(inverse(divide(multiply(inverse(X0),X1),X2)),X0)) = divide(divide(X3,inverse(X1)),X2),
inference(forward_demodulation,[],[f133591,f130211]) ).
fof(f133591,plain,
! [X2,X3,X0,X1] : divide(X3,divide(inverse(divide(multiply(inverse(X0),X1),X2)),X0)) = divide(multiply(X3,inverse(inverse(X1))),X2),
inference(forward_demodulation,[],[f133183,f133065]) ).
fof(f133183,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,[],[f130211,f10730]) ).
fof(f134220,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X4,divide(multiply(X2,inverse(X2)),divide(multiply(divide(X3,X0),divide(X0,X1)),inverse(X1)))),X3) = X4,
inference(forward_demodulation,[],[f134219,f133081]) ).
fof(f133081,plain,
! [X2,X3,X0,X1] : divide(multiply(X2,multiply(X1,X0)),X3) = divide(multiply(X2,X1),divide(X3,X0)),
inference(forward_demodulation,[],[f133080,f132255]) ).
fof(f133080,plain,
! [X2,X3,X0,X1] : divide(multiply(X2,multiply(X1,X0)),X3) = divide(inverse(divide(inverse(X1),X2)),divide(X3,X0)),
inference(forward_demodulation,[],[f133079,f130211]) ).
fof(f133079,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(inverse(X1),X2)),multiply(X3,inverse(X0))) = divide(multiply(X2,multiply(X1,X0)),X3),
inference(forward_demodulation,[],[f133078,f133065]) ).
fof(f133078,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(inverse(X1),X2)),multiply(X3,inverse(X0))) = multiply(X2,divide(multiply(X1,X0),X3)),
inference(forward_demodulation,[],[f133077,f133065]) ).
fof(f133077,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(inverse(X1),X2)),multiply(X3,inverse(X0))) = multiply(X2,multiply(X1,divide(X0,X3))),
inference(forward_demodulation,[],[f133076,f133061]) ).
fof(f133076,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(inverse(X1),X2)),multiply(X3,inverse(X0))) = multiply(multiply(X2,X1),divide(X0,X3)),
inference(forward_demodulation,[],[f132115,f132255]) ).
fof(f132115,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(inverse(X1),X2)),multiply(X3,inverse(X0))) = inverse(divide(inverse(divide(X0,X3)),multiply(X2,X1))),
inference(superposition,[],[f24727,f130762]) ).
fof(f24727,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(inverse(X1),X0)),multiply(X3,X2)) = inverse(divide(inverse(divide(inverse(X2),X3)),multiply(X0,X1))),
inference(superposition,[],[f14050,f2]) ).
fof(f14050,plain,
! [X3,X0,X1,X5] : inverse(divide(inverse(divide(inverse(X3),X5)),divide(X0,X1))) = divide(inverse(divide(X1,X0)),multiply(X5,X3)),
inference(forward_demodulation,[],[f13696,f13516]) ).
fof(f13516,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(divide(inverse(X6),divide(multiply(divide(multiply(divide(divide(X2,X3),X4),divide(X4,X0)),X5),divide(X5,X1)),X6))) = divide(inverse(divide(X3,X2)),multiply(X1,X0)),
inference(forward_demodulation,[],[f13062,f2]) ).
fof(f13062,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(divide(inverse(X6),divide(multiply(divide(multiply(divide(divide(X2,X3),X4),divide(X4,X0)),X5),divide(X5,X1)),X6))) = divide(inverse(divide(X3,X2)),divide(X1,inverse(X0))),
inference(superposition,[],[f10731,f436]) ).
fof(f10731,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(X2,X3),X0)),divide(X3,X2)) = inverse(divide(inverse(X1),divide(X0,X1))),
inference(superposition,[],[f10537,f1]) ).
fof(f13696,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(divide(inverse(divide(inverse(X3),X5)),divide(X0,X1))) = inverse(divide(inverse(X6),divide(multiply(divide(multiply(divide(divide(X0,X1),X2),divide(X2,X3)),X4),divide(X4,X5)),X6))),
inference(superposition,[],[f13129,f3520]) ).
fof(f13129,plain,
! [X2,X3,X4] : inverse(divide(inverse(X3),divide(X2,X3))) = inverse(divide(inverse(X4),divide(X2,X4))),
inference(superposition,[],[f10731,f10731]) ).
fof(f134219,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X4,divide(multiply(X2,multiply(inverse(X2),inverse(X1))),multiply(divide(X3,X0),divide(X0,X1)))),X3) = X4,
inference(forward_demodulation,[],[f134218,f133065]) ).
fof(f134218,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X4,multiply(X2,divide(multiply(inverse(X2),inverse(X1)),multiply(divide(X3,X0),divide(X0,X1))))),X3) = X4,
inference(forward_demodulation,[],[f134217,f132291]) ).
fof(f134217,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(multiply(X2,divide(multiply(inverse(X2),inverse(X1)),multiply(divide(X3,X0),divide(X0,X1)))),X4)),X3) = X4,
inference(forward_demodulation,[],[f134216,f133065]) ).
fof(f134216,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(multiply(X2,divide(divide(multiply(inverse(X2),inverse(X1)),multiply(divide(X3,X0),divide(X0,X1))),X4))),X3) = X4,
inference(forward_demodulation,[],[f133297,f132288]) ).
fof(f133297,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(divide(multiply(inverse(X2),inverse(X1)),multiply(divide(X3,X0),divide(X0,X1))),X4)),X2),X3) = X4,
inference(superposition,[],[f7752,f130211]) ).
fof(f7752,plain,
! [X2,X3,X0,X1,X5] : divide(divide(inverse(divide(divide(multiply(inverse(X3),X2),multiply(divide(X0,X1),multiply(X1,X2))),X5)),X3),X0) = X5,
inference(superposition,[],[f12,f5802]) ).
fof(f5802,plain,
! [X2,X3,X0,X1,X5] : multiply(divide(divide(multiply(divide(X0,X1),multiply(X1,X2)),multiply(inverse(X3),X2)),X5),divide(X5,X3)) = X0,
inference(forward_demodulation,[],[f5627,f2]) ).
fof(f5627,plain,
! [X2,X3,X0,X1,X5] : multiply(divide(divide(multiply(divide(X0,X1),multiply(X1,X2)),divide(inverse(X3),inverse(X2))),X5),divide(X5,X3)) = X0,
inference(superposition,[],[f4868,f4814]) ).
fof(f4814,plain,
! [X2,X3,X0,X1,X4] : divide(multiply(divide(multiply(divide(X2,X0),multiply(X0,X1)),X3),divide(X3,X4)),divide(inverse(inverse(X1)),X4)) = X2,
inference(superposition,[],[f4481,f2]) ).
fof(f133371,plain,
! [X2,X0,X1] : divide(multiply(X0,X2),X2) = divide(divide(X0,X1),inverse(X1)),
inference(superposition,[],[f112444,f130211]) ).
fof(f133373,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X2)),X2) = divide(divide(X0,X1),inverse(X1)),
inference(superposition,[],[f113177,f130211]) ).
fof(f151788,plain,
! [X2,X0] : multiply(X2,divide(X0,X0)) = X2,
inference(forward_demodulation,[],[f151787,f132291]) ).
fof(f151787,plain,
! [X2,X0] : multiply(X2,inverse(divide(X0,X0))) = X2,
inference(forward_demodulation,[],[f151786,f130211]) ).
fof(f151786,plain,
! [X2,X0] : multiply(X2,inverse(multiply(X0,inverse(X0)))) = X2,
inference(forward_demodulation,[],[f151785,f132288]) ).
fof(f151785,plain,
! [X2,X0] : multiply(X2,divide(inverse(inverse(X0)),X0)) = X2,
inference(forward_demodulation,[],[f150818,f147857]) ).
fof(f147857,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[],[f134492,f120401]) ).
fof(f150818,plain,
! [X2,X0,X1] : multiply(X2,divide(inverse(inverse(X0)),X0)) = divide(X2,multiply(inverse(inverse(X1)),inverse(X1))),
inference(superposition,[],[f11630,f136352]) ).
fof(f136352,plain,
! [X2,X0] : multiply(multiply(X0,X2),inverse(X2)) = X0,
inference(forward_demodulation,[],[f136351,f133688]) ).
fof(f136351,plain,
! [X2,X0,X1] : multiply(multiply(X0,multiply(divide(X2,X1),X1)),inverse(X2)) = X0,
inference(forward_demodulation,[],[f136350,f132276]) ).
fof(f136350,plain,
! [X2,X0,X1] : multiply(divide(X0,divide(inverse(X1),divide(X2,X1))),inverse(X2)) = X0,
inference(forward_demodulation,[],[f136349,f130211]) ).
fof(f136349,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(divide(inverse(X1),divide(X2,X1)))),inverse(X2)) = X0,
inference(forward_demodulation,[],[f136348,f129045]) ).
fof(f136348,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(divide(inverse(X1),divide(X2,X1)))),divide(X3,multiply(X2,X3))) = X0,
inference(forward_demodulation,[],[f136347,f132291]) ).
fof(f136347,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(divide(inverse(X1),divide(X2,X1)))),inverse(divide(multiply(X2,X3),X3))) = X0,
inference(forward_demodulation,[],[f136346,f133065]) ).
fof(f136346,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(divide(inverse(X1),divide(X2,X1)))),inverse(multiply(X2,divide(X3,X3)))) = X0,
inference(forward_demodulation,[],[f136345,f130211]) ).
fof(f136345,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(divide(inverse(X1),divide(X2,X1)))),inverse(multiply(X2,multiply(X3,inverse(X3))))) = X0,
inference(forward_demodulation,[],[f136344,f133061]) ).
fof(f136344,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(divide(inverse(X1),divide(X2,X1)))),inverse(multiply(multiply(X2,X3),inverse(X3)))) = X0,
inference(forward_demodulation,[],[f135591,f132288]) ).
fof(f135591,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(divide(inverse(X1),divide(X2,X1)))),divide(inverse(inverse(X3)),multiply(X2,X3))) = X0,
inference(superposition,[],[f134230,f14208]) ).
fof(f14208,plain,
! [X2,X3,X0,X1] : divide(X3,inverse(divide(inverse(X2),divide(X1,X2)))) = multiply(X3,divide(inverse(inverse(X0)),multiply(X1,X0))),
inference(superposition,[],[f2,f13638]) ).
fof(f13638,plain,
! [X2,X0,X1] : inverse(divide(inverse(inverse(X1)),multiply(X0,X1))) = inverse(divide(inverse(X2),divide(X0,X2))),
inference(superposition,[],[f13129,f2]) ).
fof(f11630,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,f10965]) ).
fof(f153945,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X2),divide(X2,divide(X1,X1))),
inference(forward_demodulation,[],[f153944,f133598]) ).
fof(f153944,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X2),divide(multiply(X2,X1),X1)),
inference(forward_demodulation,[],[f152815,f133065]) ).
fof(f152815,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X2),multiply(X2,divide(X1,X1))),
inference(superposition,[],[f22299,f151788]) ).
fof(f187843,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(subsumption_resolution,[],[f184717,f155031]) ).
fof(f155031,plain,
! [X2,X1] : multiply(divide(X1,X1),X2) = X2,
inference(forward_demodulation,[],[f155030,f130762]) ).
fof(f155030,plain,
! [X2,X1] : inverse(inverse(X2)) = multiply(divide(X1,X1),X2),
inference(forward_demodulation,[],[f155029,f132707]) ).
fof(f155029,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,multiply(inverse(X0),X2)))) = multiply(divide(X1,X1),X2),
inference(forward_demodulation,[],[f155028,f130762]) ).
fof(f155028,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,multiply(inverse(X0),X2)))) = multiply(inverse(inverse(divide(X1,X1))),X2),
inference(forward_demodulation,[],[f153055,f132288]) ).
fof(f153055,plain,
! [X2,X0,X1] : multiply(inverse(inverse(divide(X1,X1))),X2) = inverse(divide(inverse(multiply(inverse(X0),X2)),X0)),
inference(superposition,[],[f10965,f151788]) ).
fof(f184717,plain,
! [X0] :
( a2 != multiply(divide(X0,X0),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(superposition,[],[f3,f153368]) ).
fof(f153368,plain,
! [X0,X1] : divide(X1,X1) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f153367,f130762]) ).
fof(f153367,plain,
! [X0,X1] : divide(inverse(inverse(X1)),X1) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f153366,f121712]) ).
fof(f153366,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = divide(inverse(inverse(X1)),multiply(inverse(divide(X2,X1)),X2)),
inference(forward_demodulation,[],[f152713,f141727]) ).
fof(f141727,plain,
! [X2,X0] : multiply(inverse(X0),X2) = inverse(multiply(inverse(X2),X0)),
inference(forward_demodulation,[],[f141726,f131005]) ).
fof(f141726,plain,
! [X2,X3,X0] : multiply(divide(inverse(X0),X3),multiply(X3,X2)) = inverse(multiply(inverse(X2),X0)),
inference(forward_demodulation,[],[f140141,f138549]) ).
fof(f138549,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(multiply(X1,X2)),X0)),
inference(forward_demodulation,[],[f138548,f131580]) ).
fof(f131580,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f131579,f130762]) ).
fof(f131579,plain,
! [X2,X3] : inverse(inverse(X3)) = multiply(inverse(X2),multiply(X2,X3)),
inference(forward_demodulation,[],[f131578,f122562]) ).
fof(f131578,plain,
! [X2,X3,X0] : multiply(inverse(X2),multiply(X2,X3)) = inverse(multiply(inverse(multiply(X0,X3)),X0)),
inference(forward_demodulation,[],[f131577,f130762]) ).
fof(f131577,plain,
! [X2,X3,X0] : multiply(inverse(X2),multiply(X2,X3)) = inverse(multiply(inverse(multiply(inverse(inverse(X0)),X3)),X0)),
inference(forward_demodulation,[],[f131576,f129214]) ).
fof(f129214,plain,
! [X2,X0] : multiply(inverse(X0),X2) = multiply(inverse(inverse(inverse(X0))),X2),
inference(forward_demodulation,[],[f129213,f129204]) ).
fof(f129204,plain,
! [X3,X0,X1] : divide(inverse(X3),divide(X0,multiply(X3,multiply(X1,X0)))) = X1,
inference(forward_demodulation,[],[f129203,f129045]) ).
fof(f129203,plain,
! [X2,X3,X0,X1] : divide(divide(X2,multiply(X3,X2)),divide(X0,multiply(X3,multiply(X1,X0)))) = X1,
inference(forward_demodulation,[],[f128502,f120401]) ).
fof(f128502,plain,
! [X2,X3,X0,X1] : divide(divide(X2,multiply(X3,X2)),divide(divide(X0,multiply(X1,X0)),X3)) = X1,
inference(superposition,[],[f121281,f117801]) ).
fof(f129213,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,[],[f128510,f120401]) ).
fof(f128510,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,[],[f21922,f121281]) ).
fof(f21922,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,[],[f21236,f15956]) ).
fof(f15956,plain,
! [X2,X3,X0,X1] : multiply(X2,divide(inverse(inverse(X1)),multiply(X0,X1))) = multiply(X2,divide(inverse(X3),divide(X0,X3))),
inference(superposition,[],[f15025,f2]) ).
fof(f15025,plain,
! [X2,X3,X0,X4] : multiply(X0,divide(inverse(X3),divide(X2,X3))) = multiply(X0,divide(inverse(X4),divide(X2,X4))),
inference(superposition,[],[f13794,f13794]) ).
fof(f13794,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,f13129]) ).
fof(f131576,plain,
! [X2,X3,X0] : multiply(inverse(X2),multiply(X2,X3)) = inverse(multiply(inverse(multiply(inverse(inverse(inverse(inverse(X0)))),X3)),X0)),
inference(forward_demodulation,[],[f130607,f129817]) ).
fof(f130607,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,[],[f11835,f129045]) ).
fof(f11835,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,[],[f10975,f6206]) ).
fof(f10975,plain,
! [X2,X0,X1] : multiply(inverse(X1),X2) = inverse(multiply(inverse(multiply(divide(inverse(inverse(X0)),X1),X2)),X0)),
inference(superposition,[],[f10878,f2]) ).
fof(f138548,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,[],[f138547,f138460]) ).
fof(f138460,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X2)),X0) = inverse(multiply(inverse(X0),multiply(X1,X2))),
inference(forward_demodulation,[],[f138459,f133061]) ).
fof(f138459,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),X2)) = multiply(inverse(multiply(X1,X2)),X0),
inference(forward_demodulation,[],[f138458,f132288]) ).
fof(f138458,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),X2)) = multiply(divide(inverse(X2),X1),X0),
inference(forward_demodulation,[],[f138457,f132958]) ).
fof(f132958,plain,
! [X2,X3,X1] : multiply(divide(X1,X2),X3) = multiply(X1,multiply(inverse(X2),X3)),
inference(forward_demodulation,[],[f132957,f130762]) ).
fof(f132957,plain,
! [X2,X3,X1] : multiply(X1,multiply(inverse(X2),X3)) = multiply(inverse(inverse(divide(X1,X2))),X3),
inference(forward_demodulation,[],[f132956,f130762]) ).
fof(f132956,plain,
! [X2,X3,X1] : multiply(inverse(inverse(divide(X1,X2))),X3) = inverse(inverse(multiply(X1,multiply(inverse(X2),X3)))),
inference(forward_demodulation,[],[f132955,f129045]) ).
fof(f132955,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,[],[f132954,f130211]) ).
fof(f132954,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,[],[f132953,f132288]) ).
fof(f132953,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,[],[f132084,f132288]) ).
fof(f132084,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,[],[f21585,f130762]) ).
fof(f21585,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,[],[f21282,f10878]) ).
fof(f21282,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,[],[f10965,f10968]) ).
fof(f138457,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),X2)) = multiply(inverse(X2),multiply(inverse(X1),X0)),
inference(forward_demodulation,[],[f138456,f130762]) ).
fof(f138456,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),X2)) = multiply(inverse(inverse(inverse(X2))),multiply(inverse(X1),X0)),
inference(forward_demodulation,[],[f137805,f129462]) ).
fof(f129462,plain,
! [X3,X0] : inverse(inverse(X0)) = inverse(divide(inverse(X3),divide(X0,X3))),
inference(forward_demodulation,[],[f128651,f123429]) ).
fof(f128651,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,[],[f13129,f121281]) ).
fof(f137805,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,[],[f134495,f10746]) ).
fof(f10746,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,[],[f10537,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(f138547,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,[],[f137826,f133061]) ).
fof(f137826,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,[],[f134495,f57426]) ).
fof(f57426,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,[],[f56871,f10878]) ).
fof(f56871,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = divide(inverse(inverse(X2)),inverse(multiply(inverse(X2),X1))),
inference(forward_demodulation,[],[f56207,f2]) ).
fof(f56207,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = divide(inverse(inverse(X2)),inverse(divide(inverse(X2),inverse(X1)))),
inference(superposition,[],[f55152,f2]) ).
fof(f55152,plain,
! [X1,X4,X5] : multiply(inverse(X4),divide(X4,X5)) = divide(inverse(inverse(X1)),inverse(divide(inverse(X1),X5))),
inference(superposition,[],[f44555,f1]) ).
fof(f44555,plain,
! [X2,X3,X0,X6] : multiply(inverse(X6),divide(X6,X0)) = divide(inverse(inverse(divide(X3,X2))),inverse(divide(inverse(divide(X3,X2)),X0))),
inference(forward_demodulation,[],[f43959,f10763]) ).
fof(f10763,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(X1),multiply(divide(multiply(divide(divide(X2,X3),X4),divide(X4,X0)),X5),divide(X5,X1))) = inverse(divide(inverse(divide(X3,X2)),X0)),
inference(superposition,[],[f10537,f436]) ).
fof(f43959,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(X6),divide(X6,X0)) = divide(inverse(inverse(divide(X3,X2))),divide(inverse(X1),multiply(divide(multiply(divide(divide(X2,X3),X4),divide(X4,X0)),X5),divide(X5,X1)))),
inference(superposition,[],[f21915,f436]) ).
fof(f140141,plain,
! [X2,X3,X0,X1] : multiply(divide(inverse(X0),X3),multiply(X3,X2)) = multiply(X1,multiply(inverse(multiply(X0,X1)),X2)),
inference(superposition,[],[f6208,f131580]) ).
fof(f152713,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = divide(inverse(inverse(X1)),inverse(multiply(inverse(X2),divide(X2,X1)))),
inference(superposition,[],[f57956,f151788]) ).
fof(f57956,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,[],[f57463,f10878]) ).
fof(f57463,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,[],[f56871,f10968]) ).
fof(f3,axiom,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP072-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:41:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (30963)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (30966)WARNING: value z3 for option sas not known
% 0.14/0.38 % (30967)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (30964)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (30969)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)
% 0.14/0.38 % (30968)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)
% 0.14/0.38 % (30966)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)
% 0.14/0.38 % (30965)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (30970)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.21/0.52 TRYING [5]
% 0.21/0.53 TRYING [4]
% 7.13/1.46 TRYING [6]
% 7.82/1.48 TRYING [1]
% 7.82/1.48 TRYING [2]
% 7.82/1.48 TRYING [3]
% 7.82/1.49 TRYING [4]
% 8.85/1.67 TRYING [5]
% 18.85/3.08 TRYING [6]
% 34.17/5.23 % (30970)First to succeed.
% 34.17/5.25 % (30970)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30963"
% 34.17/5.26 % (30970)Refutation found. Thanks to Tanya!
% 34.17/5.26 % SZS status Unsatisfiable for theBenchmark
% 34.17/5.26 % SZS output start Proof for theBenchmark
% See solution above
% 34.17/5.26 % (30970)------------------------------
% 34.17/5.26 % (30970)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 34.17/5.26 % (30970)Termination reason: Refutation
% 34.17/5.26
% 34.17/5.26 % (30970)Memory used [KB]: 92411
% 34.17/5.26 % (30970)Time elapsed: 4.870 s
% 34.17/5.26 % (30970)Instructions burned: 14485 (million)
% 34.17/5.26 % (30963)Success in time 4.857 s
%------------------------------------------------------------------------------