TSTP Solution File: GRP477-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP477-1 : 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 : n005.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 12:07:17 EDT 2024
% Result : Unsatisfiable 79.32s 11.71s
% Output : Refutation 79.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 3
% Syntax : Number of formulae : 301 ( 301 unt; 0 def)
% Number of atoms : 301 ( 300 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 1298 (1298 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f428566,plain,
$false,
inference(trivial_inequality_removal,[],[f428365]) ).
fof(f428365,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f3,f116431]) ).
fof(f116431,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f116430,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f116430,plain,
! [X2,X0,X1] : multiply(divide(X0,inverse(X1)),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f116429,f93124]) ).
fof(f93124,plain,
! [X2,X3,X1] : divide(X3,X2) = divide(X1,multiply(divide(X2,X3),X1)),
inference(forward_demodulation,[],[f93123,f89680]) ).
fof(f89680,plain,
! [X4] : inverse(inverse(X4)) = X4,
inference(forward_demodulation,[],[f89679,f71075]) ).
fof(f71075,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f70260,f2]) ).
fof(f70260,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(superposition,[],[f69423,f2]) ).
fof(f69423,plain,
! [X3,X4] : divide(X3,inverse(divide(X4,X4))) = X3,
inference(superposition,[],[f69257,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f69257,plain,
! [X2,X0,X1] : divide(X1,X2) = divide(divide(X1,X2),inverse(divide(X0,X0))),
inference(forward_demodulation,[],[f68865,f68188]) ).
fof(f68188,plain,
! [X3,X4,X5] : divide(X4,X5) = divide(inverse(divide(X3,X3)),divide(X5,X4)),
inference(superposition,[],[f67434,f1]) ).
fof(f67434,plain,
! [X3,X0,X1,X4] : divide(X0,X1) = divide(inverse(divide(divide(X4,X3),divide(X4,X3))),divide(X1,X0)),
inference(superposition,[],[f61312,f59750]) ).
fof(f59750,plain,
! [X0,X1,X6,X7,X5] : divide(X6,X7) = multiply(divide(X1,X0),divide(divide(divide(X0,X1),X5),divide(divide(X7,X6),X5))),
inference(forward_demodulation,[],[f59305,f1335]) ).
fof(f1335,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X3) = multiply(X4,divide(divide(divide(X0,X1),X2),divide(divide(X3,divide(X1,X0)),X2))),
inference(superposition,[],[f2,f1106]) ).
fof(f1106,plain,
! [X2,X3,X4,X5] : inverse(divide(divide(divide(X3,X2),X5),divide(divide(X4,divide(X2,X3)),X5))) = X4,
inference(superposition,[],[f8,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))) = divide(inverse(divide(divide(divide(X4,X5),divide(X1,X0)),X3)),divide(X5,X4)),
inference(superposition,[],[f1,f1]) ).
fof(f59305,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(X6,X7) = multiply(divide(X1,X0),divide(divide(divide(X0,X1),X5),multiply(divide(X7,X6),divide(divide(divide(X2,X3),X4),divide(divide(X5,divide(X3,X2)),X4))))),
inference(superposition,[],[f58852,f1335]) ).
fof(f58852,plain,
! [X2,X3,X1,X4,X5] : divide(X5,X4) = multiply(divide(X1,X2),divide(multiply(divide(X2,X1),X3),multiply(divide(X4,X5),X3))),
inference(forward_demodulation,[],[f58237,f3006]) ).
fof(f3006,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(X3,X4)),multiply(divide(X1,X0),divide(divide(divide(X0,X1),X2),X3))),X2) = X4,
inference(forward_demodulation,[],[f2872,f2]) ).
fof(f2872,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(X3,X4)),divide(divide(X1,X0),inverse(divide(divide(divide(X0,X1),X2),X3)))),X2) = X4,
inference(superposition,[],[f2711,f2711]) ).
fof(f2711,plain,
! [X3,X6,X4,X5] : divide(divide(inverse(divide(divide(divide(X4,X5),X3),X6)),divide(X5,X4)),X3) = X6,
inference(superposition,[],[f1108,f1]) ).
fof(f1108,plain,
! [X3,X0,X1,X4,X5] : divide(divide(inverse(divide(divide(divide(X4,X5),divide(X1,X0)),X3)),divide(X5,X4)),divide(X1,X0)) = X3,
inference(superposition,[],[f1,f8]) ).
fof(f58237,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(divide(X1,X2),divide(multiply(divide(X2,X1),X3),multiply(divide(X4,X5),X3))) = divide(divide(inverse(divide(X0,divide(X5,X4))),multiply(divide(X6,X7),divide(divide(divide(X7,X6),X8),X0))),X8),
inference(superposition,[],[f3006,f1332]) ).
fof(f1332,plain,
! [X3,X0,X1,X6,X4,X5] : divide(X3,divide(X1,X0)) = divide(X3,multiply(divide(X4,X5),divide(multiply(divide(X5,X4),X6),multiply(divide(X0,X1),X6)))),
inference(superposition,[],[f29,f1106]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(X3,X4),divide(X5,X4))),multiply(divide(X1,X0),divide(multiply(divide(X0,X1),X2),multiply(X3,X2)))) = X5,
inference(forward_demodulation,[],[f23,f2]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(X3,X4),divide(X5,X4))),divide(divide(X1,X0),inverse(divide(multiply(divide(X0,X1),X2),multiply(X3,X2))))) = X5,
inference(superposition,[],[f1,f12]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(multiply(divide(X0,X1),X2),multiply(X3,X2))),divide(X1,X0)) = X3,
inference(forward_demodulation,[],[f6,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(multiply(divide(X0,X1),X2),divide(X3,inverse(X2)))),divide(X1,X0)) = X3,
inference(superposition,[],[f1,f2]) ).
fof(f61312,plain,
! [X2,X3,X6,X7,X5] : divide(inverse(divide(divide(X6,X5),multiply(X7,divide(divide(X3,X2),divide(divide(X5,X6),X2))))),X3) = X7,
inference(forward_demodulation,[],[f61065,f9854]) ).
fof(f9854,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X5,divide(X0,divide(X1,X2))) = multiply(X5,divide(multiply(divide(inverse(divide(divide(divide(X4,X3),X2),X0)),divide(X3,X4)),X6),multiply(X1,X6))),
inference(forward_demodulation,[],[f9668,f2]) ).
fof(f9668,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(X5,inverse(divide(X0,divide(X1,X2)))) = multiply(X5,divide(multiply(divide(inverse(divide(divide(divide(X4,X3),X2),X0)),divide(X3,X4)),X6),multiply(X1,X6))),
inference(superposition,[],[f1739,f2903]) ).
fof(f2903,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(X3,divide(X4,X2))),multiply(divide(X1,X0),divide(divide(divide(X0,X1),X2),X3))) = X4,
inference(superposition,[],[f9,f2711]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(inverse(X1),X0),X2),divide(X3,X2))),multiply(X0,X1)) = X3,
inference(superposition,[],[f1,f2]) ).
fof(f1739,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X3) = multiply(X4,divide(multiply(divide(inverse(X0),X1),X2),multiply(divide(X3,multiply(X1,X0)),X2))),
inference(superposition,[],[f2,f1409]) ).
fof(f1409,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(divide(inverse(X1),X0),X2),multiply(divide(X3,multiply(X0,X1)),X2))) = X3,
inference(superposition,[],[f1361,f2]) ).
fof(f1361,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(divide(X0,X1),X2),multiply(divide(X3,divide(X1,X0)),X2))) = X3,
inference(forward_demodulation,[],[f1300,f2]) ).
fof(f1300,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(divide(X0,X1),X2),divide(divide(X3,divide(X1,X0)),inverse(X2)))) = X3,
inference(superposition,[],[f1106,f2]) ).
fof(f61065,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(inverse(divide(divide(X6,X5),multiply(X7,divide(multiply(divide(inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2))),divide(X0,X1)),X4),multiply(divide(X5,X6),X4))))),X3) = X7,
inference(superposition,[],[f26,f59142]) ).
fof(f59142,plain,
! [X2,X3,X0,X1,X4] : divide(X2,X3) = multiply(multiply(X0,X1),divide(multiply(divide(inverse(X1),X0),X4),multiply(divide(X3,X2),X4))),
inference(superposition,[],[f58852,f2]) ).
fof(f26,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(multiply(multiply(divide(X1,X0),divide(divide(divide(X0,X1),X2),divide(X3,X2))),X4),multiply(X5,X4))),X3) = X5,
inference(forward_demodulation,[],[f19,f2]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(multiply(divide(divide(X1,X0),inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2)))),X4),multiply(X5,X4))),X3) = X5,
inference(superposition,[],[f12,f1]) ).
fof(f68865,plain,
! [X2,X3,X0,X1] : divide(divide(X1,X2),inverse(divide(X0,X0))) = divide(inverse(divide(X3,X3)),divide(X2,X1)),
inference(superposition,[],[f68188,f68188]) ).
fof(f89679,plain,
! [X2,X4] : inverse(inverse(multiply(X4,multiply(inverse(X2),X2)))) = X4,
inference(forward_demodulation,[],[f89678,f80740]) ).
fof(f80740,plain,
! [X2,X3] : inverse(X3) = multiply(inverse(multiply(X2,X3)),X2),
inference(forward_demodulation,[],[f80418,f77023]) ).
fof(f77023,plain,
! [X2,X3,X4] : divide(X2,multiply(divide(X3,X4),divide(X4,X3))) = X2,
inference(forward_demodulation,[],[f77022,f70217]) ).
fof(f70217,plain,
! [X0,X1] : divide(X1,inverse(multiply(inverse(X0),X0))) = X1,
inference(superposition,[],[f69423,f2]) ).
fof(f77022,plain,
! [X2,X3,X1,X4] : divide(X2,inverse(multiply(inverse(X1),X1))) = divide(X2,multiply(divide(X3,X4),divide(X4,X3))),
inference(forward_demodulation,[],[f77021,f71075]) ).
fof(f77021,plain,
! [X2,X3,X1,X4] : divide(X2,inverse(multiply(inverse(X1),X1))) = divide(X2,multiply(divide(X3,X4),multiply(divide(X4,X3),multiply(inverse(X1),X1)))),
inference(forward_demodulation,[],[f77020,f2]) ).
fof(f77020,plain,
! [X2,X3,X1,X4] : divide(X2,inverse(multiply(inverse(X1),X1))) = divide(X2,multiply(divide(X3,X4),divide(divide(X4,X3),inverse(multiply(inverse(X1),X1))))),
inference(forward_demodulation,[],[f76170,f70845]) ).
fof(f70845,plain,
! [X2,X3,X0,X4] : multiply(X2,divide(multiply(X3,X4),multiply(X0,X4))) = multiply(X2,divide(X3,X0)),
inference(forward_demodulation,[],[f70844,f2]) ).
fof(f70844,plain,
! [X2,X3,X0,X4] : multiply(X2,divide(multiply(X3,X4),multiply(X0,X4))) = divide(X2,inverse(divide(X3,X0))),
inference(forward_demodulation,[],[f70843,f70260]) ).
fof(f70843,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,divide(multiply(X3,X4),multiply(X0,X4))) = divide(X2,inverse(divide(multiply(X3,divide(X1,X1)),X0))),
inference(forward_demodulation,[],[f70389,f2]) ).
fof(f70389,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,divide(multiply(X3,X4),multiply(X0,X4))) = divide(X2,inverse(divide(divide(X3,inverse(divide(X1,X1))),X0))),
inference(superposition,[],[f1975,f69423]) ).
fof(f1975,plain,
! [X2,X3,X0,X1,X4] : divide(X4,inverse(divide(divide(X0,X3),divide(X2,X3)))) = multiply(X4,divide(multiply(X0,X1),multiply(X2,X1))),
inference(superposition,[],[f2,f1616]) ).
fof(f1616,plain,
! [X2,X0,X1,X6] : inverse(divide(multiply(X0,X1),multiply(X2,X1))) = inverse(divide(divide(X0,X6),divide(X2,X6))),
inference(forward_demodulation,[],[f1585,f1]) ).
fof(f1585,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(divide(multiply(X0,X1),multiply(X2,X1))) = inverse(divide(divide(divide(inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))),divide(X3,X4)),X6),divide(X2,X6))),
inference(superposition,[],[f1301,f24]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(multiply(X3,X4),multiply(X5,X4))),multiply(divide(X1,X0),divide(divide(divide(X0,X1),X2),divide(X3,X2)))) = X5,
inference(forward_demodulation,[],[f16,f2]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(multiply(X3,X4),multiply(X5,X4))),divide(divide(X1,X0),inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))))) = X5,
inference(superposition,[],[f12,f1]) ).
fof(f1301,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(divide(inverse(X1),X0),X2),divide(divide(X3,multiply(X0,X1)),X2))) = X3,
inference(superposition,[],[f1106,f2]) ).
fof(f76170,plain,
! [X2,X3,X1,X4,X5] : divide(X2,inverse(multiply(inverse(X1),X1))) = divide(X2,multiply(divide(X3,X4),divide(multiply(divide(X4,X3),X5),multiply(inverse(multiply(inverse(X1),X1)),X5)))),
inference(superposition,[],[f1332,f72331]) ).
fof(f72331,plain,
! [X2,X3] : divide(X2,X2) = inverse(multiply(inverse(X3),X3)),
inference(forward_demodulation,[],[f71937,f71119]) ).
fof(f71119,plain,
! [X2,X0,X1] : divide(inverse(divide(divide(X2,X1),X0)),divide(X1,X2)) = X0,
inference(superposition,[],[f61312,f70260]) ).
fof(f71937,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)),X2) = inverse(multiply(inverse(X3),X3)),
inference(superposition,[],[f2874,f71075]) ).
fof(f2874,plain,
! [X2,X3,X0,X1] : inverse(X3) = divide(divide(inverse(multiply(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),X2),
inference(superposition,[],[f2711,f2]) ).
fof(f80418,plain,
! [X2,X3,X0,X1] : inverse(X3) = multiply(divide(inverse(multiply(X2,X3)),multiply(divide(X1,X0),divide(X0,X1))),X2),
inference(superposition,[],[f4210,f77180]) ).
fof(f77180,plain,
! [X2,X3] : divide(multiply(X2,X3),X3) = X2,
inference(forward_demodulation,[],[f77179,f71075]) ).
fof(f77179,plain,
! [X2,X3,X1] : divide(multiply(X2,multiply(X3,multiply(inverse(X1),X1))),X3) = X2,
inference(forward_demodulation,[],[f77178,f2]) ).
fof(f77178,plain,
! [X2,X3,X1] : divide(multiply(X2,divide(X3,inverse(multiply(inverse(X1),X1)))),X3) = X2,
inference(forward_demodulation,[],[f77177,f70836]) ).
fof(f70836,plain,
! [X2,X3,X0,X4] : multiply(X2,divide(divide(X3,X4),divide(X0,X4))) = multiply(X2,divide(X3,X0)),
inference(forward_demodulation,[],[f70835,f2]) ).
fof(f70835,plain,
! [X2,X3,X0,X4] : multiply(X2,divide(divide(X3,X4),divide(X0,X4))) = divide(X2,inverse(divide(X3,X0))),
inference(forward_demodulation,[],[f70834,f70260]) ).
fof(f70834,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,divide(divide(X3,X4),divide(X0,X4))) = divide(X2,inverse(divide(multiply(X3,divide(X1,X1)),X0))),
inference(forward_demodulation,[],[f70386,f2]) ).
fof(f70386,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,divide(divide(X3,X4),divide(X0,X4))) = divide(X2,inverse(divide(divide(X3,inverse(divide(X1,X1))),X0))),
inference(superposition,[],[f1870,f69423]) ).
fof(f1870,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,divide(divide(X0,X1),divide(X2,X1))) = divide(X4,inverse(divide(divide(X0,X3),divide(X2,X3)))),
inference(superposition,[],[f2,f1615]) ).
fof(f1615,plain,
! [X2,X0,X1,X6] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(divide(X0,X6),divide(X2,X6))),
inference(forward_demodulation,[],[f1584,f1]) ).
fof(f1584,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(divide(divide(inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))),divide(X3,X4)),X6),divide(X2,X6))),
inference(superposition,[],[f1301,f11]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(X3,X4),divide(X5,X4))),multiply(divide(X1,X0),divide(divide(divide(X0,X1),X2),divide(X3,X2)))) = X5,
inference(forward_demodulation,[],[f5,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(X3,X4),divide(X5,X4))),divide(divide(X1,X0),inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))))) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f77177,plain,
! [X2,X3,X1,X4] : divide(multiply(X2,divide(divide(X3,X4),divide(inverse(multiply(inverse(X1),X1)),X4))),X3) = X2,
inference(forward_demodulation,[],[f76308,f76955]) ).
fof(f76955,plain,
! [X1,X4] : inverse(divide(inverse(multiply(inverse(X1),X1)),X4)) = X4,
inference(forward_demodulation,[],[f76954,f71119]) ).
fof(f76954,plain,
! [X2,X3,X1,X4] : inverse(divide(inverse(multiply(inverse(X1),X1)),X4)) = divide(inverse(divide(divide(X2,X3),X4)),divide(X3,X2)),
inference(forward_demodulation,[],[f76953,f71075]) ).
fof(f76953,plain,
! [X2,X3,X1,X4] : inverse(divide(inverse(multiply(inverse(X1),X1)),X4)) = divide(inverse(divide(multiply(divide(X2,X3),multiply(inverse(X1),X1)),X4)),divide(X3,X2)),
inference(forward_demodulation,[],[f76952,f2]) ).
fof(f76952,plain,
! [X2,X3,X1,X4] : divide(inverse(divide(divide(divide(X2,X3),inverse(multiply(inverse(X1),X1))),X4)),divide(X3,X2)) = inverse(divide(inverse(multiply(inverse(X1),X1)),X4)),
inference(forward_demodulation,[],[f76136,f70828]) ).
fof(f70828,plain,
! [X2,X3,X0] : inverse(divide(multiply(X2,X3),multiply(X0,X3))) = inverse(divide(X2,X0)),
inference(forward_demodulation,[],[f70827,f70260]) ).
fof(f70827,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(X2,X3),multiply(X0,X3))) = inverse(divide(multiply(X2,divide(X1,X1)),X0)),
inference(forward_demodulation,[],[f70383,f2]) ).
fof(f70383,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(X2,X3),multiply(X0,X3))) = inverse(divide(divide(X2,inverse(divide(X1,X1))),X0)),
inference(superposition,[],[f1616,f69423]) ).
fof(f76136,plain,
! [X2,X3,X1,X4,X5] : divide(inverse(divide(divide(divide(X2,X3),inverse(multiply(inverse(X1),X1))),X4)),divide(X3,X2)) = inverse(divide(multiply(inverse(multiply(inverse(X1),X1)),X5),multiply(X4,X5))),
inference(superposition,[],[f22,f72331]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(divide(X4,X5),divide(X1,X0)),X3)),divide(X5,X4)) = inverse(divide(multiply(divide(X0,X1),X2),multiply(X3,X2))),
inference(superposition,[],[f1,f12]) ).
fof(f76308,plain,
! [X2,X3,X1,X4] : divide(inverse(divide(inverse(multiply(inverse(X1),X1)),multiply(X2,divide(divide(X3,X4),divide(inverse(multiply(inverse(X1),X1)),X4))))),X3) = X2,
inference(superposition,[],[f61312,f72331]) ).
fof(f4210,plain,
! [X2,X3,X0,X1,X4] : inverse(X4) = multiply(divide(inverse(multiply(X3,X4)),multiply(divide(X1,X0),divide(multiply(divide(X0,X1),X2),X3))),X2),
inference(forward_demodulation,[],[f4115,f2]) ).
fof(f4115,plain,
! [X2,X3,X0,X1,X4] : inverse(X4) = multiply(divide(inverse(multiply(X3,X4)),divide(divide(X1,X0),inverse(divide(multiply(divide(X0,X1),X2),X3)))),X2),
inference(superposition,[],[f3060,f3025]) ).
fof(f3025,plain,
! [X2,X3,X0,X1] : multiply(divide(inverse(divide(multiply(divide(X0,X1),X2),X3)),divide(X1,X0)),X2) = X3,
inference(forward_demodulation,[],[f2901,f2]) ).
fof(f2901,plain,
! [X2,X3,X0,X1] : multiply(divide(inverse(divide(divide(divide(X0,X1),inverse(X2)),X3)),divide(X1,X0)),X2) = X3,
inference(superposition,[],[f2711,f2]) ).
fof(f3060,plain,
! [X2,X3,X0,X1] : inverse(X3) = multiply(divide(inverse(multiply(multiply(divide(X0,X1),X2),X3)),divide(X1,X0)),X2),
inference(superposition,[],[f3025,f2]) ).
fof(f89678,plain,
! [X2,X1,X4] : inverse(inverse(multiply(X4,multiply(multiply(inverse(multiply(X1,X2)),X1),X2)))) = X4,
inference(forward_demodulation,[],[f89677,f89188]) ).
fof(f89188,plain,
! [X2,X3,X0,X1] : multiply(divide(X3,multiply(inverse(X1),X0)),X2) = multiply(X3,multiply(multiply(inverse(X0),X1),X2)),
inference(superposition,[],[f4016,f80735]) ).
fof(f80735,plain,
! [X2,X3] : inverse(divide(X2,multiply(X3,X2))) = X3,
inference(forward_demodulation,[],[f80413,f77023]) ).
fof(f80413,plain,
! [X2,X3,X0,X1] : inverse(divide(X2,multiply(divide(X3,multiply(divide(X1,X0),divide(X0,X1))),X2))) = X3,
inference(superposition,[],[f3089,f77180]) ).
fof(f3089,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(X3,multiply(divide(X4,multiply(divide(X1,X0),divide(multiply(divide(X0,X1),X2),X3))),X2))) = X4,
inference(superposition,[],[f1409,f3025]) ).
fof(f4016,plain,
! [X2,X3,X0,X1] : multiply(divide(inverse(divide(multiply(multiply(inverse(X1),X0),X2),X3)),multiply(inverse(X0),X1)),X2) = X3,
inference(superposition,[],[f3037,f2]) ).
fof(f3037,plain,
! [X2,X3,X0,X1] : multiply(divide(inverse(divide(multiply(multiply(X0,X1),X2),X3)),divide(inverse(X1),X0)),X2) = X3,
inference(superposition,[],[f3025,f2]) ).
fof(f89677,plain,
! [X2,X1,X4] : inverse(inverse(multiply(divide(X4,multiply(inverse(X1),multiply(X1,X2))),X2))) = X4,
inference(forward_demodulation,[],[f89676,f86986]) ).
fof(f86986,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(superposition,[],[f77180,f77620]) ).
fof(f77620,plain,
! [X0,X1] : divide(X1,X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f76108,f2]) ).
fof(f76108,plain,
! [X2,X1] : divide(X2,X2) = divide(X1,X1),
inference(superposition,[],[f72331,f72331]) ).
fof(f89676,plain,
! [X2,X0,X1,X4] : inverse(inverse(multiply(divide(X4,multiply(divide(divide(X0,X0),X1),multiply(X1,X2))),X2))) = X4,
inference(forward_demodulation,[],[f89675,f77180]) ).
fof(f89675,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(multiply(divide(X4,multiply(divide(multiply(divide(divide(X0,X0),X1),X3),X3),multiply(X1,X2))),X2))) = X4,
inference(forward_demodulation,[],[f89674,f89431]) ).
fof(f89431,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f89430,f77527]) ).
fof(f77527,plain,
! [X2,X3,X4,X5] : divide(multiply(X2,X3),multiply(divide(X4,X5),multiply(divide(X5,X4),X3))) = X2,
inference(forward_demodulation,[],[f77526,f77501]) ).
fof(f77501,plain,
! [X2,X1] : inverse(divide(divide(X1,X1),X2)) = X2,
inference(forward_demodulation,[],[f77500,f77427]) ).
fof(f77427,plain,
! [X3,X0,X1,X5] : divide(divide(X5,multiply(divide(X0,X1),divide(divide(X1,X0),X3))),X3) = X5,
inference(forward_demodulation,[],[f77426,f70836]) ).
fof(f77426,plain,
! [X2,X3,X0,X1,X5] : divide(divide(X5,multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2)))),X3) = X5,
inference(forward_demodulation,[],[f76644,f76955]) ).
fof(f76644,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(inverse(multiply(inverse(X4),X4)),divide(X5,multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2)))))),X3) = X5,
inference(superposition,[],[f14,f72331]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(multiply(divide(X1,X0),divide(divide(divide(X0,X1),X2),divide(X3,X2))),X4),divide(X5,X4))),X3) = X5,
inference(forward_demodulation,[],[f10,f2]) ).
fof(f10,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(divide(divide(X1,X0),inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2)))),X4),divide(X5,X4))),X3) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f77500,plain,
! [X2,X3,X1,X4,X5] : inverse(divide(divide(X1,X1),divide(divide(X2,multiply(divide(X3,X4),divide(divide(X4,X3),X5))),X5))) = X2,
inference(forward_demodulation,[],[f76702,f71075]) ).
fof(f76702,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(X1,X1),divide(divide(X2,multiply(divide(X3,X4),multiply(divide(divide(X4,X3),X5),multiply(inverse(X0),X0)))),X5))) = X2,
inference(superposition,[],[f3626,f72331]) ).
fof(f3626,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(inverse(X3),divide(divide(X4,multiply(divide(X1,X0),multiply(divide(divide(X0,X1),X2),X3))),X2))) = X4,
inference(superposition,[],[f1301,f2874]) ).
fof(f77526,plain,
! [X2,X3,X1,X4,X5] : divide(inverse(divide(divide(X1,X1),multiply(X2,X3))),multiply(divide(X4,X5),multiply(divide(X5,X4),X3))) = X2,
inference(forward_demodulation,[],[f76722,f71075]) ).
fof(f76722,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(X1,X1),multiply(X2,X3))),multiply(divide(X4,X5),multiply(multiply(divide(X5,X4),X3),multiply(inverse(X0),X0)))) = X2,
inference(superposition,[],[f4150,f72331]) ).
fof(f4150,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(inverse(X3),multiply(X4,X2))),multiply(divide(X1,X0),multiply(multiply(divide(X0,X1),X2),X3))) = X4,
inference(superposition,[],[f18,f3060]) ).
fof(f18,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(multiply(divide(inverse(X1),X0),X2),multiply(X3,X2))),multiply(X0,X1)) = X3,
inference(superposition,[],[f12,f2]) ).
fof(f89430,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(X0),X1) = inverse(divide(multiply(multiply(X1,X0),X2),multiply(divide(X4,X3),multiply(divide(X3,X4),X2)))),
inference(forward_demodulation,[],[f89120,f88765]) ).
fof(f88765,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X1),divide(X2,X3)) = divide(X0,multiply(divide(X2,X3),X1)),
inference(forward_demodulation,[],[f88764,f85721]) ).
fof(f85721,plain,
! [X2,X3] : divide(X2,X3) = inverse(divide(X3,X2)),
inference(forward_demodulation,[],[f85417,f78965]) ).
fof(f78965,plain,
! [X2,X3,X1] : inverse(divide(divide(divide(X1,X1),X2),divide(X3,X2))) = X3,
inference(forward_demodulation,[],[f78042,f77314]) ).
fof(f77314,plain,
! [X3,X0] : divide(X3,multiply(inverse(X0),X0)) = X3,
inference(forward_demodulation,[],[f77313,f76955]) ).
fof(f77313,plain,
! [X3,X0,X1] : divide(inverse(divide(inverse(multiply(inverse(X1),X1)),X3)),multiply(inverse(X0),X0)) = X3,
inference(forward_demodulation,[],[f76490,f70820]) ).
fof(f70820,plain,
! [X2,X3,X0] : inverse(divide(divide(X0,X3),divide(X2,X3))) = inverse(divide(X0,X2)),
inference(forward_demodulation,[],[f70819,f70260]) ).
fof(f70819,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(X0,X3),divide(X2,X3))) = inverse(divide(X0,multiply(X2,divide(X1,X1)))),
inference(forward_demodulation,[],[f70379,f2]) ).
fof(f70379,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(X0,X3),divide(X2,X3))) = inverse(divide(X0,divide(X2,inverse(divide(X1,X1))))),
inference(superposition,[],[f1615,f69423]) ).
fof(f76490,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(inverse(multiply(inverse(X1),X1)),X2),divide(X3,X2))),multiply(inverse(X0),X0)) = X3,
inference(superposition,[],[f9,f72331]) ).
fof(f78042,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(divide(X1,X1),X2),divide(divide(X3,multiply(inverse(X0),X0)),X2))) = X3,
inference(superposition,[],[f1301,f76108]) ).
fof(f85417,plain,
! [X2,X3,X0,X1] : inverse(divide(X3,X2)) = inverse(divide(divide(divide(X0,X0),X1),divide(divide(X2,X3),X1))),
inference(superposition,[],[f77501,f59464]) ).
fof(f59464,plain,
! [X3,X0,X1,X4,X5] : divide(X4,X3) = divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X5),divide(divide(X3,X4),X5)))),
inference(superposition,[],[f58852,f1975]) ).
fof(f88764,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X1),divide(X2,X3)) = inverse(divide(multiply(divide(X2,X3),X1),X0)),
inference(forward_demodulation,[],[f88763,f84465]) ).
fof(f84465,plain,
! [X2,X3,X4] : inverse(divide(X3,multiply(X4,X2))) = divide(X4,divide(X3,X2)),
inference(forward_demodulation,[],[f84464,f77054]) ).
fof(f77054,plain,
! [X2,X3,X0] : inverse(divide(multiply(X0,X2),multiply(X3,X2))) = divide(X3,X0),
inference(forward_demodulation,[],[f76188,f76955]) ).
fof(f76188,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(X0,X2),multiply(X3,X2))) = inverse(divide(inverse(multiply(inverse(X1),X1)),divide(X3,X0))),
inference(superposition,[],[f1616,f72331]) ).
fof(f84464,plain,
! [X2,X3,X4,X5] : inverse(divide(multiply(divide(X3,X2),X5),multiply(X4,X5))) = inverse(divide(X3,multiply(X4,X2))),
inference(forward_demodulation,[],[f84463,f84392]) ).
fof(f84392,plain,
! [X2,X3,X0,X1,X5] : divide(divide(divide(X5,divide(X2,X3)),divide(inverse(X1),divide(X0,X1))),X0) = inverse(divide(X2,multiply(X5,X3))),
inference(forward_demodulation,[],[f84391,f80892]) ).
fof(f80892,plain,
! [X2,X0,X1] : inverse(divide(X2,multiply(X0,X1))) = inverse(divide(divide(X2,X1),X0)),
inference(forward_demodulation,[],[f80510,f70820]) ).
fof(f80510,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(X2,X1),X0)) = inverse(divide(divide(X2,X3),divide(multiply(X0,X1),X3))),
inference(superposition,[],[f1615,f77180]) ).
fof(f84391,plain,
! [X2,X3,X0,X1,X5] : inverse(divide(divide(X2,X3),X5)) = divide(divide(divide(X5,divide(X2,X3)),divide(inverse(X1),divide(X0,X1))),X0),
inference(forward_demodulation,[],[f84390,f70808]) ).
fof(f70808,plain,
! [X2,X3,X0,X4] : inverse(divide(divide(divide(X2,X3),X4),divide(X0,X4))) = inverse(divide(divide(X2,X3),X0)),
inference(forward_demodulation,[],[f70807,f70260]) ).
fof(f70807,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(divide(divide(X2,X3),X4),divide(X0,X4))) = inverse(divide(multiply(divide(X2,X3),divide(X1,X1)),X0)),
inference(forward_demodulation,[],[f70357,f2]) ).
fof(f70357,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(divide(divide(X2,X3),X4),divide(X0,X4))) = inverse(divide(divide(divide(X2,X3),inverse(divide(X1,X1))),X0)),
inference(superposition,[],[f1107,f69423]) ).
fof(f1107,plain,
! [X2,X3,X6,X4,X5] : inverse(divide(divide(divide(X3,X2),X5),divide(X4,X5))) = inverse(divide(divide(divide(X3,X2),X6),divide(X4,X6))),
inference(superposition,[],[f8,f8]) ).
fof(f84390,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X2,X3),X4),divide(X5,X4))) = divide(divide(divide(X5,divide(X2,X3)),divide(inverse(X1),divide(X0,X1))),X0),
inference(forward_demodulation,[],[f84389,f80763]) ).
fof(f80763,plain,
! [X2,X3,X5] : divide(X5,divide(X2,X3)) = multiply(X5,divide(X3,X2)),
inference(forward_demodulation,[],[f80762,f77046]) ).
fof(f77046,plain,
! [X2,X3,X0] : inverse(divide(divide(X0,X3),divide(X2,X3))) = divide(X2,X0),
inference(forward_demodulation,[],[f76183,f76955]) ).
fof(f76183,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(X0,X3),divide(X2,X3))) = inverse(divide(inverse(multiply(inverse(X1),X1)),divide(X2,X0))),
inference(superposition,[],[f1615,f72331]) ).
fof(f80762,plain,
! [X2,X3,X4,X5] : inverse(divide(divide(divide(X2,X3),X4),divide(X5,X4))) = multiply(X5,divide(X3,X2)),
inference(forward_demodulation,[],[f80761,f77180]) ).
fof(f80761,plain,
! [X2,X3,X0,X4,X5] : inverse(divide(divide(divide(X2,X3),X4),divide(X5,X4))) = divide(multiply(multiply(X5,divide(X3,X2)),X0),X0),
inference(forward_demodulation,[],[f80760,f77180]) ).
fof(f80760,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X2,X3),X4),divide(X5,X4))) = divide(multiply(multiply(X5,divide(X3,X2)),divide(multiply(X0,X1),X1)),X0),
inference(forward_demodulation,[],[f80448,f80758]) ).
fof(f80758,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(divide(X2,X3),X1),X0)) = multiply(multiply(X0,X1),divide(X3,X2)),
inference(forward_demodulation,[],[f80446,f80442]) ).
fof(f80442,plain,
! [X2,X3,X0,X1] : multiply(X0,X1) = divide(inverse(divide(divide(divide(X2,X3),X1),X0)),divide(X3,X2)),
inference(superposition,[],[f1,f77180]) ).
fof(f80446,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X2,X3),X1),X0)) = divide(inverse(divide(divide(divide(X4,X5),divide(X3,X2)),multiply(X0,X1))),divide(X5,X4)),
inference(superposition,[],[f8,f77180]) ).
fof(f80448,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X2,X3),X4),divide(X5,X4))) = divide(inverse(divide(divide(divide(X1,multiply(X0,X1)),divide(X3,X2)),X5)),X0),
inference(superposition,[],[f8,f77180]) ).
fof(f84389,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X2,X3),X4),divide(X5,X4))) = divide(divide(multiply(X5,divide(X3,X2)),divide(inverse(X1),divide(X0,X1))),X0),
inference(forward_demodulation,[],[f84388,f80909]) ).
fof(f80909,plain,
! [X2,X3,X0,X1] : divide(X2,divide(X0,divide(X3,X1))) = divide(X2,divide(multiply(X0,X1),X3)),
inference(forward_demodulation,[],[f80908,f77144]) ).
fof(f77144,plain,
! [X2,X3,X0] : divide(X2,inverse(divide(X0,X3))) = divide(X2,divide(X3,X0)),
inference(forward_demodulation,[],[f77143,f70820]) ).
fof(f77143,plain,
! [X2,X3,X0,X4] : divide(X2,inverse(divide(divide(X0,X4),divide(X3,X4)))) = divide(X2,divide(X3,X0)),
inference(forward_demodulation,[],[f76276,f76955]) ).
fof(f76276,plain,
! [X2,X3,X0,X1,X4] : divide(X2,inverse(divide(divide(X0,X4),divide(X3,X4)))) = divide(X2,inverse(divide(inverse(multiply(inverse(X1),X1)),divide(X3,X0)))),
inference(superposition,[],[f10076,f72331]) ).
fof(f10076,plain,
! [X3,X0,X1,X4,X5] : divide(X0,inverse(divide(divide(X1,X4),divide(X3,X4)))) = divide(X0,inverse(divide(divide(X1,X5),divide(X3,X5)))),
inference(superposition,[],[f1870,f1870]) ).
fof(f80908,plain,
! [X2,X3,X0,X1] : divide(X2,inverse(divide(divide(X3,X1),X0))) = divide(X2,divide(multiply(X0,X1),X3)),
inference(forward_demodulation,[],[f80907,f80763]) ).
fof(f80907,plain,
! [X2,X3,X0,X1] : divide(X2,inverse(divide(divide(X3,X1),X0))) = multiply(X2,divide(X3,multiply(X0,X1))),
inference(forward_demodulation,[],[f80519,f70845]) ).
fof(f80519,plain,
! [X2,X3,X0,X1,X4] : divide(X2,inverse(divide(divide(X3,X1),X0))) = multiply(X2,divide(multiply(X3,X4),multiply(multiply(X0,X1),X4))),
inference(superposition,[],[f1975,f77180]) ).
fof(f84388,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X2,X3),X4),divide(X5,X4))) = divide(divide(multiply(X5,divide(X3,X2)),divide(multiply(inverse(X1),X1),X0)),X0),
inference(forward_demodulation,[],[f84387,f80763]) ).
fof(f84387,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X2,X3),X4),divide(X5,X4))) = divide(multiply(multiply(X5,divide(X3,X2)),divide(X0,multiply(inverse(X1),X1))),X0),
inference(forward_demodulation,[],[f83639,f80758]) ).
fof(f83639,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X2,X3),X4),divide(X5,X4))) = divide(inverse(divide(divide(divide(multiply(inverse(X1),X1),X0),divide(X3,X2)),X5)),X0),
inference(superposition,[],[f8,f77314]) ).
fof(f84463,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(multiply(divide(X3,X2),X5),multiply(X4,X5))) = divide(divide(divide(X4,divide(X3,X2)),divide(inverse(X1),divide(X0,X1))),X0),
inference(forward_demodulation,[],[f84462,f80763]) ).
fof(f84462,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(multiply(divide(X3,X2),X5),multiply(X4,X5))) = divide(divide(multiply(X4,divide(X2,X3)),divide(inverse(X1),divide(X0,X1))),X0),
inference(forward_demodulation,[],[f84461,f80909]) ).
fof(f84461,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(multiply(divide(X3,X2),X5),multiply(X4,X5))) = divide(divide(multiply(X4,divide(X2,X3)),divide(multiply(inverse(X1),X1),X0)),X0),
inference(forward_demodulation,[],[f84460,f80763]) ).
fof(f84460,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(multiply(divide(X3,X2),X5),multiply(X4,X5))) = divide(multiply(multiply(X4,divide(X2,X3)),divide(X0,multiply(inverse(X1),X1))),X0),
inference(forward_demodulation,[],[f83655,f80758]) ).
fof(f83655,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(multiply(divide(X3,X2),X5),multiply(X4,X5))) = divide(inverse(divide(divide(divide(multiply(inverse(X1),X1),X0),divide(X2,X3)),X4)),X0),
inference(superposition,[],[f22,f77314]) ).
fof(f88763,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(divide(X2,X3),X1),X0)) = inverse(divide(X2,multiply(divide(X0,X1),X3))),
inference(forward_demodulation,[],[f88762,f80892]) ).
fof(f88762,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(divide(X2,X3),X1),X0)) = inverse(divide(divide(X2,X3),divide(X0,X1))),
inference(forward_demodulation,[],[f88761,f70086]) ).
fof(f70086,plain,
! [X3,X0,X1,X4,X5] : inverse(divide(multiply(divide(X3,X4),X5),multiply(divide(X0,X1),X5))) = inverse(divide(divide(X3,X4),divide(X0,X1))),
inference(forward_demodulation,[],[f70085,f69572]) ).
fof(f69572,plain,
! [X2,X0,X1] : divide(X0,X1) = multiply(divide(X0,X1),divide(X2,X2)),
inference(superposition,[],[f69257,f2]) ).
fof(f70085,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(multiply(divide(X3,X4),X5),multiply(divide(X0,X1),X5))) = inverse(divide(multiply(divide(X3,X4),divide(X2,X2)),divide(X0,X1))),
inference(forward_demodulation,[],[f69754,f2]) ).
fof(f69754,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X3,X4),inverse(divide(X2,X2))),divide(X0,X1))) = inverse(divide(multiply(divide(X3,X4),X5),multiply(divide(X0,X1),X5))),
inference(superposition,[],[f1321,f69257]) ).
fof(f1321,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(multiply(divide(X0,X1),X2),multiply(X3,X2))) = inverse(divide(divide(divide(X0,X1),X4),divide(X3,X4))),
inference(superposition,[],[f1106,f12]) ).
fof(f88761,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(multiply(divide(X2,X3),X1),X0)) = inverse(divide(multiply(divide(X2,X3),X4),multiply(divide(X0,X1),X4))),
inference(forward_demodulation,[],[f88380,f88698]) ).
fof(f88698,plain,
! [X0,X1] : divide(X0,X1) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[],[f88354,f80321]) ).
fof(f80321,plain,
! [X2,X3,X0,X1] : divide(X3,X2) = divide(inverse(divide(multiply(divide(X0,X1),X2),X3)),divide(X1,X0)),
inference(superposition,[],[f77180,f3025]) ).
fof(f88354,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(multiply(divide(X2,X3),X1),X0)),divide(X3,X2)) = multiply(X0,inverse(X1)),
inference(superposition,[],[f12,f80371]) ).
fof(f80371,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[],[f77180,f2]) ).
fof(f88380,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(multiply(divide(X2,X3),X1),X0)) = inverse(divide(multiply(divide(X2,X3),X4),multiply(multiply(X0,inverse(X1)),X4))),
inference(superposition,[],[f1429,f80371]) ).
fof(f1429,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(multiply(divide(X0,X1),X2),multiply(X3,X2))) = inverse(divide(multiply(divide(X0,X1),X4),multiply(X3,X4))),
inference(superposition,[],[f1361,f12]) ).
fof(f89120,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(X0),X1) = inverse(divide(divide(multiply(multiply(X1,X0),X2),multiply(divide(X3,X4),X2)),divide(X4,X3))),
inference(superposition,[],[f80735,f59223]) ).
fof(f59223,plain,
! [X2,X3,X0,X1,X4] : divide(X2,X3) = multiply(divide(inverse(X1),X0),divide(multiply(multiply(X0,X1),X4),multiply(divide(X3,X2),X4))),
inference(superposition,[],[f58852,f2]) ).
fof(f89674,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(inverse(X2),divide(X4,multiply(divide(multiply(divide(divide(X0,X0),X1),X3),X3),multiply(X1,X2))))) = X4,
inference(forward_demodulation,[],[f89673,f80899]) ).
fof(f80899,plain,
! [X2,X3,X0,X1] : divide(X2,divide(divide(X3,X1),X0)) = divide(X2,divide(X3,multiply(X0,X1))),
inference(forward_demodulation,[],[f80898,f77144]) ).
fof(f80898,plain,
! [X2,X3,X0,X1] : divide(X2,divide(divide(X3,X1),X0)) = divide(X2,inverse(divide(multiply(X0,X1),X3))),
inference(forward_demodulation,[],[f80897,f70814]) ).
fof(f70814,plain,
! [X2,X3,X0,X4] : inverse(divide(divide(multiply(X2,X3),X4),divide(X0,X4))) = inverse(divide(multiply(X2,X3),X0)),
inference(forward_demodulation,[],[f70813,f70260]) ).
fof(f70813,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(divide(multiply(X2,X3),X4),divide(X0,X4))) = inverse(divide(multiply(multiply(X2,X3),divide(X1,X1)),X0)),
inference(forward_demodulation,[],[f70373,f2]) ).
fof(f70373,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(divide(multiply(X2,X3),X4),divide(X0,X4))) = inverse(divide(divide(multiply(X2,X3),inverse(divide(X1,X1))),X0)),
inference(superposition,[],[f1380,f69423]) ).
fof(f1380,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(divide(multiply(X0,X1),X2),divide(X3,X2))) = inverse(divide(divide(multiply(X0,X1),X4),divide(X3,X4))),
inference(forward_demodulation,[],[f1322,f2]) ).
fof(f1322,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(divide(multiply(X0,X1),X2),divide(X3,X2))) = inverse(divide(divide(divide(X0,inverse(X1)),X4),divide(X3,X4))),
inference(superposition,[],[f1106,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(multiply(X0,X1),X2),divide(X3,X2))),divide(inverse(X1),X0)) = X3,
inference(superposition,[],[f1,f2]) ).
fof(f80897,plain,
! [X2,X3,X0,X1,X4] : divide(X2,inverse(divide(divide(multiply(X0,X1),X4),divide(X3,X4)))) = divide(X2,divide(divide(X3,X1),X0)),
inference(forward_demodulation,[],[f80515,f80763]) ).
fof(f80515,plain,
! [X2,X3,X0,X1,X4] : divide(X2,inverse(divide(divide(multiply(X0,X1),X4),divide(X3,X4)))) = multiply(X2,divide(X0,divide(X3,X1))),
inference(superposition,[],[f1870,f77180]) ).
fof(f89673,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(inverse(X2),divide(divide(X4,multiply(X1,X2)),divide(multiply(divide(divide(X0,X0),X1),X3),X3)))) = X4,
inference(forward_demodulation,[],[f89672,f80909]) ).
fof(f89672,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(inverse(X2),divide(multiply(divide(X4,multiply(X1,X2)),X3),multiply(divide(divide(X0,X0),X1),X3)))) = X4,
inference(forward_demodulation,[],[f89671,f89520]) ).
fof(f89520,plain,
! [X2,X3,X0,X1] : divide(X3,divide(X2,multiply(X0,X1))) = divide(multiply(X3,multiply(X0,X1)),X2),
inference(forward_demodulation,[],[f89519,f2]) ).
fof(f89519,plain,
! [X2,X3,X0,X1] : divide(X3,divide(X2,multiply(X0,X1))) = divide(divide(X3,inverse(multiply(X0,X1))),X2),
inference(forward_demodulation,[],[f89518,f89431]) ).
fof(f89518,plain,
! [X2,X3,X0,X1] : divide(divide(X3,divide(inverse(X1),X0)),X2) = divide(X3,divide(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f89158,f80763]) ).
fof(f89158,plain,
! [X2,X3,X0,X1] : divide(divide(X3,divide(inverse(X1),X0)),X2) = multiply(X3,divide(multiply(X0,X1),X2)),
inference(superposition,[],[f2851,f80735]) ).
fof(f2851,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(divide(multiply(X0,X1),X2),X3)),divide(inverse(X1),X0)),X2) = X3,
inference(superposition,[],[f2711,f2]) ).
fof(f89671,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(multiply(inverse(X2),multiply(divide(divide(X0,X0),X1),X3)),multiply(divide(X4,multiply(X1,X2)),X3))) = X4,
inference(forward_demodulation,[],[f89670,f89182]) ).
fof(f89182,plain,
! [X2,X3,X0,X1] : multiply(divide(X3,divide(X1,X0)),X2) = multiply(X3,multiply(divide(X0,X1),X2)),
inference(superposition,[],[f3025,f80735]) ).
fof(f89670,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(multiply(divide(inverse(X2),divide(X1,divide(X0,X0))),X3),multiply(divide(X4,multiply(X1,X2)),X3))) = X4,
inference(forward_demodulation,[],[f89207,f88936]) ).
fof(f88936,plain,
! [X2,X3,X0,X1] : multiply(X2,divide(X0,multiply(X3,X1))) = divide(X2,divide(X3,divide(X0,X1))),
inference(forward_demodulation,[],[f88935,f88806]) ).
fof(f88806,plain,
! [X2,X3,X0,X1,X4] : divide(X2,divide(X4,divide(X0,X1))) = multiply(X2,divide(divide(X0,X1),multiply(divide(X4,X3),X3))),
inference(forward_demodulation,[],[f88805,f80909]) ).
fof(f88805,plain,
! [X2,X3,X0,X1,X4] : divide(X2,divide(multiply(X4,X1),X0)) = multiply(X2,divide(divide(X0,X1),multiply(divide(X4,X3),X3))),
inference(forward_demodulation,[],[f88804,f80763]) ).
fof(f88804,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,divide(X0,multiply(X4,X1))) = multiply(X2,divide(divide(X0,X1),multiply(divide(X4,X3),X3))),
inference(forward_demodulation,[],[f88803,f88698]) ).
fof(f88803,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,divide(X0,multiply(X4,X1))) = multiply(X2,divide(multiply(X0,inverse(X1)),multiply(divide(X4,X3),X3))),
inference(forward_demodulation,[],[f88802,f88765]) ).
fof(f88802,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,divide(X0,multiply(X4,X1))) = multiply(X2,divide(divide(multiply(X0,inverse(X1)),X3),divide(X4,X3))),
inference(forward_demodulation,[],[f88398,f2]) ).
fof(f88398,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,divide(divide(multiply(X0,inverse(X1)),X3),divide(X4,X3))) = divide(X2,inverse(divide(X0,multiply(X4,X1)))),
inference(superposition,[],[f2003,f80371]) ).
fof(f2003,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,divide(divide(X0,X1),divide(X2,X1))) = divide(X4,inverse(divide(multiply(X0,X3),multiply(X2,X3)))),
inference(superposition,[],[f2,f1616]) ).
fof(f88935,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,divide(X0,multiply(X3,X1))) = multiply(X2,divide(divide(X0,X1),multiply(divide(X3,X4),X4))),
inference(forward_demodulation,[],[f88934,f88698]) ).
fof(f88934,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,divide(X0,multiply(X3,X1))) = multiply(X2,divide(multiply(X0,inverse(X1)),multiply(divide(X3,X4),X4))),
inference(forward_demodulation,[],[f88462,f88765]) ).
fof(f88462,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,divide(X0,multiply(X3,X1))) = multiply(X2,divide(divide(multiply(X0,inverse(X1)),X4),divide(X3,X4))),
inference(superposition,[],[f11365,f80371]) ).
fof(f11365,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,divide(multiply(X0,X1),multiply(X3,X1))) = multiply(X2,divide(divide(X0,X4),divide(X3,X4))),
inference(forward_demodulation,[],[f10903,f2]) ).
fof(f10903,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,divide(multiply(X0,X1),divide(X3,inverse(X1)))) = multiply(X2,divide(divide(X0,X4),divide(X3,X4))),
inference(superposition,[],[f10179,f2]) ).
fof(f10179,plain,
! [X3,X0,X1,X4,X5] : multiply(X0,divide(divide(X1,X4),divide(X3,X4))) = multiply(X0,divide(divide(X1,X5),divide(X3,X5))),
inference(superposition,[],[f1870,f1870]) ).
fof(f89207,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(multiply(multiply(inverse(X2),divide(X0,multiply(X1,X0))),X3),multiply(divide(X4,multiply(X1,X2)),X3))) = X4,
inference(superposition,[],[f1655,f80735]) ).
fof(f1655,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(multiply(inverse(X1),X0),X2),multiply(divide(X3,multiply(inverse(X0),X1)),X2))) = X3,
inference(superposition,[],[f1391,f2]) ).
fof(f1391,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(multiply(X0,X1),X2),multiply(divide(X3,divide(inverse(X1),X0)),X2))) = X3,
inference(superposition,[],[f1361,f2]) ).
fof(f93123,plain,
! [X2,X3,X1] : divide(X3,X2) = divide(inverse(inverse(X1)),multiply(divide(X2,X3),X1)),
inference(forward_demodulation,[],[f92742,f88260]) ).
fof(f88260,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(divide(X1,X1),X0),
inference(superposition,[],[f80371,f77620]) ).
fof(f92742,plain,
! [X2,X3,X0,X1] : divide(X3,X2) = divide(multiply(divide(X0,X0),X1),multiply(divide(X2,X3),X1)),
inference(superposition,[],[f91606,f58852]) ).
fof(f91606,plain,
! [X0,X1] : multiply(divide(X1,X1),X0) = X0,
inference(forward_demodulation,[],[f91245,f85721]) ).
fof(f91245,plain,
! [X0,X1] : multiply(inverse(divide(X1,X1)),X0) = X0,
inference(superposition,[],[f90014,f76817]) ).
fof(f76817,plain,
! [X3,X4] : inverse(divide(X3,X3)) = divide(X4,X4),
inference(forward_demodulation,[],[f76045,f1335]) ).
fof(f76045,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X4) = inverse(multiply(X3,divide(divide(divide(X0,X1),X2),divide(divide(X3,divide(X1,X0)),X2)))),
inference(superposition,[],[f72331,f1106]) ).
fof(f90014,plain,
! [X2,X5] : multiply(divide(X2,X5),X5) = X2,
inference(forward_demodulation,[],[f90013,f77314]) ).
fof(f90013,plain,
! [X2,X1,X5] : multiply(divide(X2,divide(X5,multiply(inverse(X1),X1))),X5) = X2,
inference(forward_demodulation,[],[f90012,f81168]) ).
fof(f81168,plain,
! [X2,X3,X0,X1] : divide(X3,multiply(X0,multiply(inverse(X1),X2))) = divide(X3,divide(X0,multiply(inverse(X2),X1))),
inference(forward_demodulation,[],[f80677,f77067]) ).
fof(f77067,plain,
! [X2,X3,X0,X4] : multiply(X2,divide(multiply(X0,X4),multiply(X3,X4))) = divide(X2,divide(X3,X0)),
inference(forward_demodulation,[],[f76194,f76955]) ).
fof(f76194,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,divide(multiply(X0,X4),multiply(X3,X4))) = divide(X2,inverse(divide(inverse(multiply(inverse(X1),X1)),divide(X3,X0)))),
inference(superposition,[],[f1975,f72331]) ).
fof(f80677,plain,
! [X2,X3,X0,X1,X4] : divide(X3,multiply(X0,multiply(inverse(X1),X2))) = multiply(X3,divide(multiply(multiply(inverse(X2),X1),X4),multiply(X0,X4))),
inference(superposition,[],[f2217,f77180]) ).
fof(f2217,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X3) = multiply(X4,divide(multiply(multiply(inverse(X0),X1),X2),multiply(divide(X3,multiply(inverse(X1),X0)),X2))),
inference(superposition,[],[f2,f1655]) ).
fof(f90012,plain,
! [X2,X1,X5] : multiply(divide(X2,multiply(X5,multiply(inverse(X1),X1))),X5) = X2,
inference(forward_demodulation,[],[f90011,f86986]) ).
fof(f90011,plain,
! [X2,X0,X1,X5] : multiply(divide(X2,multiply(X5,multiply(divide(divide(X0,X0),X1),X1))),X5) = X2,
inference(forward_demodulation,[],[f90010,f87439]) ).
fof(f87439,plain,
! [X2,X3,X0,X1] : multiply(X2,X3) = multiply(divide(X0,X1),multiply(multiply(divide(X1,X0),X2),X3)),
inference(forward_demodulation,[],[f87438,f2]) ).
fof(f87438,plain,
! [X2,X3,X0,X1] : multiply(divide(X0,X1),multiply(multiply(divide(X1,X0),X2),X3)) = divide(X2,inverse(X3)),
inference(forward_demodulation,[],[f86531,f87423]) ).
fof(f87423,plain,
! [X2,X3,X4] : divide(X2,X3) = inverse(divide(X3,multiply(multiply(inverse(X4),X4),X2))),
inference(forward_demodulation,[],[f86522,f83149]) ).
fof(f83149,plain,
! [X3,X0,X1,X4] : divide(X3,X4) = multiply(divide(X1,X0),divide(multiply(divide(X0,X1),X3),X4)),
inference(forward_demodulation,[],[f83148,f68188]) ).
fof(f83148,plain,
! [X2,X3,X0,X1,X4] : divide(X3,X4) = multiply(divide(X1,X0),divide(inverse(divide(X2,X2)),divide(X4,multiply(divide(X0,X1),X3)))),
inference(forward_demodulation,[],[f81820,f80899]) ).
fof(f81820,plain,
! [X2,X3,X0,X1,X4] : divide(X3,X4) = multiply(divide(X1,X0),divide(inverse(divide(X2,X2)),divide(divide(X4,X3),divide(X0,X1)))),
inference(superposition,[],[f59750,f76817]) ).
fof(f86522,plain,
! [X2,X3,X0,X1,X4] : multiply(divide(X0,X1),divide(multiply(divide(X1,X0),X2),X3)) = inverse(divide(X3,multiply(multiply(inverse(X4),X4),X2))),
inference(superposition,[],[f3089,f77620]) ).
fof(f86531,plain,
! [X2,X3,X0,X1,X4] : multiply(divide(X0,X1),multiply(multiply(divide(X1,X0),X2),X3)) = inverse(divide(inverse(X3),multiply(multiply(inverse(X4),X4),X2))),
inference(superposition,[],[f4149,f77620]) ).
fof(f4149,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(inverse(X3),multiply(divide(X4,multiply(divide(X1,X0),multiply(multiply(divide(X0,X1),X2),X3))),X2))) = X4,
inference(superposition,[],[f1409,f3060]) ).
fof(f90010,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(divide(X2,multiply(divide(X3,X4),multiply(multiply(divide(X4,X3),X5),multiply(divide(divide(X0,X0),X1),X1)))),X5) = X2,
inference(forward_demodulation,[],[f90009,f89182]) ).
fof(f90009,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(divide(X2,multiply(divide(X3,X4),multiply(divide(multiply(divide(X4,X3),X5),divide(X1,divide(X0,X0))),X1))),X5) = X2,
inference(forward_demodulation,[],[f90008,f88936]) ).
fof(f90008,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(divide(X2,multiply(divide(X3,X4),multiply(multiply(multiply(divide(X4,X3),X5),divide(X0,multiply(X1,X0))),X1))),X5) = X2,
inference(forward_demodulation,[],[f90007,f89534]) ).
fof(f89534,plain,
! [X2,X3,X0,X1,X4] : divide(X4,multiply(multiply(divide(X2,X3),X1),X0)) = divide(X4,multiply(divide(X2,X3),multiply(X1,X0))),
inference(forward_demodulation,[],[f89533,f89517]) ).
fof(f89517,plain,
! [X2,X3,X0,X1] : divide(divide(X3,multiply(X1,X0)),X2) = divide(X3,multiply(X2,multiply(X1,X0))),
inference(forward_demodulation,[],[f89516,f88698]) ).
fof(f89516,plain,
! [X2,X3,X0,X1] : divide(divide(X3,multiply(X1,X0)),X2) = multiply(X3,inverse(multiply(X2,multiply(X1,X0)))),
inference(forward_demodulation,[],[f89515,f89431]) ).
fof(f89515,plain,
! [X2,X3,X0,X1] : divide(divide(X3,multiply(X1,X0)),X2) = multiply(X3,divide(inverse(multiply(X1,X0)),X2)),
inference(forward_demodulation,[],[f89157,f89431]) ).
fof(f89157,plain,
! [X2,X3,X0,X1] : divide(divide(X3,multiply(X1,X0)),X2) = multiply(X3,divide(divide(inverse(X0),X1),X2)),
inference(superposition,[],[f2880,f80735]) ).
fof(f2880,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(divide(divide(inverse(X1),X0),X2),X3)),multiply(X0,X1)),X2) = X3,
inference(superposition,[],[f2711,f2]) ).
fof(f89533,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X4,multiply(X1,X0)),divide(X2,X3)) = divide(X4,multiply(multiply(divide(X2,X3),X1),X0)),
inference(forward_demodulation,[],[f89532,f88698]) ).
fof(f89532,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X4,multiply(X1,X0)),divide(X2,X3)) = multiply(X4,inverse(multiply(multiply(divide(X2,X3),X1),X0))),
inference(forward_demodulation,[],[f89531,f89431]) ).
fof(f89531,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X4,multiply(X1,X0)),divide(X2,X3)) = multiply(X4,divide(inverse(X0),multiply(divide(X2,X3),X1))),
inference(forward_demodulation,[],[f89166,f88765]) ).
fof(f89166,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X4,multiply(X1,X0)),divide(X2,X3)) = multiply(X4,divide(divide(inverse(X0),X1),divide(X2,X3))),
inference(superposition,[],[f2690,f80735]) ).
fof(f2690,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(divide(divide(inverse(X1),X0),divide(X2,X3)),X4)),multiply(X0,X1)),divide(X2,X3)) = X4,
inference(superposition,[],[f1108,f2]) ).
fof(f90007,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(divide(X2,multiply(multiply(divide(X3,X4),multiply(multiply(divide(X4,X3),X5),divide(X0,multiply(X1,X0)))),X1)),X5) = X2,
inference(forward_demodulation,[],[f89259,f84843]) ).
fof(f84843,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,X1)),X2) = divide(X1,multiply(X2,X0)),
inference(forward_demodulation,[],[f84842,f80728]) ).
fof(f80728,plain,
! [X2,X0,X1] : divide(X2,multiply(X0,X1)) = inverse(divide(X0,divide(X2,X1))),
inference(forward_demodulation,[],[f80388,f77046]) ).
fof(f80388,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(multiply(X0,X1),X3),divide(X2,X3))) = inverse(divide(X0,divide(X2,X1))),
inference(superposition,[],[f1380,f77180]) ).
fof(f84842,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,X1)),X2) = inverse(divide(X2,divide(X1,X0))),
inference(forward_demodulation,[],[f83833,f70820]) ).
fof(f83833,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(X2,X3),divide(divide(X1,X0),X3))) = divide(inverse(divide(X0,X1)),X2),
inference(superposition,[],[f61312,f77314]) ).
fof(f89259,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(divide(inverse(divide(X1,X2)),multiply(divide(X3,X4),multiply(multiply(divide(X4,X3),X5),divide(X0,multiply(X1,X0))))),X5) = X2,
inference(superposition,[],[f4246,f80735]) ).
fof(f4246,plain,
! [X2,X3,X0,X1,X4] : multiply(divide(inverse(divide(inverse(X3),X4)),multiply(divide(X1,X0),multiply(multiply(divide(X0,X1),X2),X3))),X2) = X4,
inference(forward_demodulation,[],[f4159,f2]) ).
fof(f4159,plain,
! [X2,X3,X0,X1,X4] : multiply(divide(inverse(divide(inverse(X3),X4)),divide(divide(X1,X0),inverse(multiply(multiply(divide(X0,X1),X2),X3)))),X2) = X4,
inference(superposition,[],[f3025,f3060]) ).
fof(f116429,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(divide(X3,multiply(divide(inverse(X1),X0),X3)),X2),
inference(forward_demodulation,[],[f116428,f84843]) ).
fof(f116428,plain,
! [X2,X3,X0,X1] : multiply(divide(inverse(divide(X3,X3)),divide(inverse(X1),X0)),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f111891,f104777]) ).
fof(f104777,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = inverse(inverse(multiply(multiply(X1,X2),X0))),
inference(forward_demodulation,[],[f104776,f89431]) ).
fof(f104776,plain,
! [X2,X0,X1] : inverse(divide(inverse(X0),multiply(X1,X2))) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[],[f104775,f2]) ).
fof(f104775,plain,
! [X2,X0,X1] : inverse(divide(inverse(X0),multiply(X1,X2))) = divide(X1,inverse(multiply(X2,X0))),
inference(forward_demodulation,[],[f104125,f87439]) ).
fof(f104125,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(inverse(X0),multiply(X1,X2))) = divide(X1,inverse(multiply(divide(X3,X4),multiply(multiply(divide(X4,X3),X2),X0)))),
inference(superposition,[],[f90006,f4150]) ).
fof(f90006,plain,
! [X2,X5] : divide(divide(X2,X5),inverse(X5)) = X2,
inference(forward_demodulation,[],[f90005,f77314]) ).
fof(f90005,plain,
! [X2,X1,X5] : divide(divide(X2,divide(X5,multiply(inverse(X1),X1))),inverse(X5)) = X2,
inference(forward_demodulation,[],[f90004,f81168]) ).
fof(f90004,plain,
! [X2,X1,X5] : divide(divide(X2,multiply(X5,multiply(inverse(X1),X1))),inverse(X5)) = X2,
inference(forward_demodulation,[],[f90003,f86986]) ).
fof(f90003,plain,
! [X2,X0,X1,X5] : divide(divide(X2,multiply(X5,multiply(divide(divide(X0,X0),X1),X1))),inverse(X5)) = X2,
inference(forward_demodulation,[],[f90002,f87439]) ).
fof(f90002,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X2,multiply(divide(X3,X4),multiply(multiply(divide(X4,X3),X5),multiply(divide(divide(X0,X0),X1),X1)))),inverse(X5)) = X2,
inference(forward_demodulation,[],[f90001,f89182]) ).
fof(f90001,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X2,multiply(divide(X3,X4),multiply(divide(multiply(divide(X4,X3),X5),divide(X1,divide(X0,X0))),X1))),inverse(X5)) = X2,
inference(forward_demodulation,[],[f90000,f88936]) ).
fof(f90000,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X2,multiply(divide(X3,X4),multiply(multiply(multiply(divide(X4,X3),X5),divide(X0,multiply(X1,X0))),X1))),inverse(X5)) = X2,
inference(forward_demodulation,[],[f89999,f89534]) ).
fof(f89999,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X2,multiply(multiply(divide(X3,X4),multiply(multiply(divide(X4,X3),X5),divide(X0,multiply(X1,X0)))),X1)),inverse(X5)) = X2,
inference(forward_demodulation,[],[f89258,f84843]) ).
fof(f89258,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(inverse(divide(X1,X2)),multiply(divide(X3,X4),multiply(multiply(divide(X4,X3),X5),divide(X0,multiply(X1,X0))))),inverse(X5)) = X2,
inference(superposition,[],[f4245,f80735]) ).
fof(f4245,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(inverse(X3),X4)),multiply(divide(X1,X0),multiply(multiply(divide(X0,X1),X2),X3))),inverse(X2)) = X4,
inference(forward_demodulation,[],[f4158,f2]) ).
fof(f4158,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(inverse(X3),X4)),divide(divide(X1,X0),inverse(multiply(multiply(divide(X0,X1),X2),X3)))),inverse(X2)) = X4,
inference(superposition,[],[f2873,f3060]) ).
fof(f2873,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(multiply(divide(X0,X1),X2),X3)),divide(X1,X0)),inverse(X2)) = X3,
inference(superposition,[],[f2711,f2]) ).
fof(f111891,plain,
! [X2,X3,X0,X1] : multiply(divide(inverse(divide(X3,X3)),divide(inverse(X1),X0)),X2) = inverse(inverse(multiply(multiply(X0,X1),X2))),
inference(superposition,[],[f3979,f90605]) ).
fof(f90605,plain,
! [X0,X1] : divide(X1,X1) = multiply(X0,inverse(X0)),
inference(superposition,[],[f77620,f89680]) ).
fof(f3979,plain,
! [X2,X3,X0,X1] : inverse(X3) = multiply(divide(inverse(multiply(multiply(multiply(X0,X1),X2),X3)),divide(inverse(X1),X0)),X2),
inference(superposition,[],[f3037,f2]) ).
fof(f3,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP477-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n005.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 : Tue Apr 30 04:26:11 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (17069)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (17072)WARNING: value z3 for option sas not known
% 0.21/0.38 % (17071)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (17073)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (17075)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)
% 0.21/0.38 % (17076)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)
% 0.21/0.38 % (17070)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (17072)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)
% 0.21/0.38 % (17074)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.41 TRYING [4]
% 0.21/0.46 TRYING [5]
% 5.61/1.14 TRYING [5]
% 7.07/1.41 TRYING [6]
% 7.72/1.48 TRYING [1]
% 7.72/1.48 TRYING [2]
% 7.72/1.48 TRYING [3]
% 7.72/1.49 TRYING [4]
% 8.45/1.55 TRYING [5]
% 19.66/3.16 TRYING [6]
% 57.12/8.52 TRYING [7]
% 79.13/11.68 % (17076)First to succeed.
% 79.32/11.71 % (17076)Refutation found. Thanks to Tanya!
% 79.32/11.71 % SZS status Unsatisfiable for theBenchmark
% 79.32/11.71 % SZS output start Proof for theBenchmark
% See solution above
% 79.32/11.71 % (17076)------------------------------
% 79.32/11.71 % (17076)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 79.32/11.71 % (17076)Termination reason: Refutation
% 79.32/11.71
% 79.32/11.71 % (17076)Memory used [KB]: 172944
% 79.32/11.71 % (17076)Time elapsed: 11.315 s
% 79.32/11.71 % (17076)Instructions burned: 23603 (million)
% 79.32/11.71 % (17076)------------------------------
% 79.32/11.71 % (17076)------------------------------
% 79.32/11.71 % (17069)Success in time 11.329 s
%------------------------------------------------------------------------------