TSTP Solution File: GRP476-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP476-1 : 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 : n012.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 20.33s 3.28s
% Output : Refutation 20.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 3
% Syntax : Number of formulae : 232 ( 232 unt; 0 def)
% Number of atoms : 232 ( 231 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 1001 (1001 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f90972,plain,
$false,
inference(trivial_inequality_removal,[],[f90832]) ).
fof(f90832,plain,
a2 != a2,
inference(superposition,[],[f88710,f90040]) ).
fof(f90040,plain,
! [X4] : inverse(inverse(X4)) = X4,
inference(forward_demodulation,[],[f90039,f71075]) ).
fof(f71075,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f70260,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
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/sandbox/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(f90039,plain,
! [X2,X4] : inverse(inverse(multiply(X4,multiply(inverse(X2),X2)))) = X4,
inference(forward_demodulation,[],[f90038,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(f90038,plain,
! [X2,X1,X4] : inverse(inverse(multiply(X4,multiply(multiply(inverse(multiply(X1,X2)),X1),X2)))) = X4,
inference(forward_demodulation,[],[f90037,f89547]) ).
fof(f89547,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(f90037,plain,
! [X2,X1,X4] : inverse(inverse(multiply(divide(X4,multiply(inverse(X1),multiply(X1,X2))),X2))) = X4,
inference(forward_demodulation,[],[f90036,f86987]) ).
fof(f86987,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(f90036,plain,
! [X2,X0,X1,X4] : inverse(inverse(multiply(divide(X4,multiply(divide(divide(X0,X0),X1),multiply(X1,X2))),X2))) = X4,
inference(forward_demodulation,[],[f90035,f77180]) ).
fof(f90035,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,[],[f90034,f89791]) ).
fof(f89791,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f89790,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(f89790,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,[],[f89479,f89124]) ).
fof(f89124,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X1),divide(X2,X3)) = divide(X0,multiply(divide(X2,X3),X1)),
inference(forward_demodulation,[],[f89123,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(f89123,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X1),divide(X2,X3)) = inverse(divide(multiply(divide(X2,X3),X1),X0)),
inference(forward_demodulation,[],[f89122,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(f89122,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(divide(X2,X3),X1),X0)) = inverse(divide(X2,multiply(divide(X0,X1),X3))),
inference(forward_demodulation,[],[f89121,f80892]) ).
fof(f89121,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(divide(X2,X3),X1),X0)) = inverse(divide(divide(X2,X3),divide(X0,X1))),
inference(forward_demodulation,[],[f89120,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(f89120,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,[],[f88739,f89057]) ).
fof(f89057,plain,
! [X0,X1] : divide(X0,X1) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[],[f88713,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(f88713,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(f88739,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(f89479,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(f90034,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,[],[f90033,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(f90033,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,[],[f90032,f80909]) ).
fof(f90032,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,[],[f90031,f89880]) ).
fof(f89880,plain,
! [X2,X3,X0,X1] : divide(X3,divide(X2,multiply(X0,X1))) = divide(multiply(X3,multiply(X0,X1)),X2),
inference(forward_demodulation,[],[f89879,f2]) ).
fof(f89879,plain,
! [X2,X3,X0,X1] : divide(X3,divide(X2,multiply(X0,X1))) = divide(divide(X3,inverse(multiply(X0,X1))),X2),
inference(forward_demodulation,[],[f89878,f89791]) ).
fof(f89878,plain,
! [X2,X3,X0,X1] : divide(divide(X3,divide(inverse(X1),X0)),X2) = divide(X3,divide(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f89517,f80763]) ).
fof(f89517,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(f90031,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,[],[f90030,f89541]) ).
fof(f89541,plain,
! [X2,X3,X0,X1] : multiply(divide(X3,divide(X1,X0)),X2) = multiply(X3,multiply(divide(X0,X1),X2)),
inference(superposition,[],[f3025,f80735]) ).
fof(f90030,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,[],[f89566,f89295]) ).
fof(f89295,plain,
! [X2,X3,X0,X1] : multiply(X2,divide(X0,multiply(X3,X1))) = divide(X2,divide(X3,divide(X0,X1))),
inference(forward_demodulation,[],[f89294,f89165]) ).
fof(f89165,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,[],[f89164,f80909]) ).
fof(f89164,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,[],[f89163,f80763]) ).
fof(f89163,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,[],[f89162,f89057]) ).
fof(f89162,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,[],[f89161,f89124]) ).
fof(f89161,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,[],[f88757,f2]) ).
fof(f88757,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(f89294,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,[],[f89293,f89057]) ).
fof(f89293,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,[],[f88821,f89124]) ).
fof(f88821,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(f89566,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(f88710,plain,
a2 != inverse(inverse(a2)),
inference(superposition,[],[f88212,f80371]) ).
fof(f88212,plain,
! [X1] : a2 != multiply(multiply(inverse(X1),X1),a2),
inference(superposition,[],[f86858,f77620]) ).
fof(f86858,plain,
! [X0] : a2 != multiply(divide(X0,X0),a2),
inference(superposition,[],[f3,f77620]) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP476-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 04:19:26 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (21539)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36 % (21542)WARNING: value z3 for option sas not known
% 0.19/0.36 % (21541)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.36 % (21545)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)
% 0.19/0.36 % (21543)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.36 % (21544)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)
% 0.19/0.36 % (21546)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)
% 0.19/0.36 % (21542)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)
% 0.19/0.36 TRYING [1]
% 0.19/0.36 TRYING [2]
% 0.19/0.36 % (21540)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.36 TRYING [3]
% 0.19/0.37 TRYING [1]
% 0.19/0.37 TRYING [2]
% 0.19/0.37 TRYING [4]
% 0.19/0.37 TRYING [3]
% 0.19/0.40 TRYING [4]
% 0.19/0.41 TRYING [5]
% 4.14/0.95 TRYING [5]
% 5.90/1.22 TRYING [6]
% 7.81/1.46 TRYING [1]
% 7.81/1.46 TRYING [2]
% 7.81/1.46 TRYING [3]
% 7.81/1.47 TRYING [4]
% 8.02/1.51 TRYING [5]
% 15.35/2.55 TRYING [6]
% 20.33/3.26 % (21546)First to succeed.
% 20.33/3.28 % (21546)Refutation found. Thanks to Tanya!
% 20.33/3.28 % SZS status Unsatisfiable for theBenchmark
% 20.33/3.28 % SZS output start Proof for theBenchmark
% See solution above
% 20.33/3.28 % (21546)------------------------------
% 20.33/3.28 % (21546)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 20.33/3.28 % (21546)Termination reason: Refutation
% 20.33/3.28
% 20.33/3.28 % (21546)Memory used [KB]: 46448
% 20.33/3.28 % (21546)Time elapsed: 2.911 s
% 20.33/3.28 % (21546)Instructions burned: 6260 (million)
% 20.33/3.28 % (21546)------------------------------
% 20.33/3.28 % (21546)------------------------------
% 20.33/3.28 % (21539)Success in time 2.932 s
%------------------------------------------------------------------------------