TSTP Solution File: BOO028-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO028-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n024.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 : Fri Sep 1 13:43:42 EDT 2023
% Result : Unsatisfiable 228.01s 33.04s
% Output : Refutation 228.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 11
% Syntax : Number of formulae : 153 ( 153 unt; 0 def)
% Number of atoms : 153 ( 152 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 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 : 355 (; 355 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f719766,plain,
$false,
inference(trivial_inequality_removal,[],[f719384]) ).
fof(f719384,plain,
multiply(a,add(b,c)) != multiply(a,add(b,c)),
inference(superposition,[],[f16,f73994]) ).
fof(f73994,plain,
! [X6,X7,X5] : add(multiply(X5,X6),multiply(X5,X7)) = multiply(X5,add(X6,X7)),
inference(backward_demodulation,[],[f62753,f73988]) ).
fof(f73988,plain,
! [X2,X0,X1] : multiply(X1,add(X0,X2)) = multiply(X1,add(multiply(X1,X2),X0)),
inference(backward_demodulation,[],[f39241,f73840]) ).
fof(f73840,plain,
! [X28,X29,X30] : add(multiply(X28,X29),multiply(X29,X30)) = multiply(X29,add(X28,X30)),
inference(backward_demodulation,[],[f39161,f73807]) ).
fof(f73807,plain,
! [X104,X105,X103] : multiply(X103,add(X104,X105)) = multiply(X103,add(X104,multiply(X103,X105))),
inference(backward_demodulation,[],[f73007,f73806]) ).
fof(f73806,plain,
! [X253,X254,X255] : multiply(X255,add(X253,X254)) = add(multiply(X255,X254),multiply(X255,multiply(inverse(X254),X253))),
inference(forward_demodulation,[],[f73805,f7778]) ).
fof(f7778,plain,
! [X18,X19] : multiply(inverse(X19),add(X18,X19)) = multiply(inverse(X19),X18),
inference(superposition,[],[f1576,f1722]) ).
fof(f1722,plain,
! [X21,X22] : multiply(add(X21,inverse(X22)),add(X21,X22)) = X21,
inference(forward_demodulation,[],[f1721,f34]) ).
fof(f34,plain,
! [X0,X1] : multiply(X1,add(X1,X0)) = X1,
inference(superposition,[],[f28,f7]) ).
fof(f7,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.60JQNa0nEr/Vampire---4.8_30053',commutativity_of_add) ).
fof(f28,plain,
! [X6,X9] : multiply(X6,add(X9,X6)) = X6,
inference(superposition,[],[f4,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,multiply(X0,X2))) = X0,
file('/export/starexec/sandbox/tmp/tmp.60JQNa0nEr/Vampire---4.8_30053',l1) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,add(X0,X2))) = X0,
file('/export/starexec/sandbox/tmp/tmp.60JQNa0nEr/Vampire---4.8_30053',l2) ).
fof(f1721,plain,
! [X21,X22] : multiply(add(X21,inverse(X22)),add(X21,X22)) = multiply(X21,add(X21,inverse(X22))),
inference(forward_demodulation,[],[f1672,f8]) ).
fof(f8,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.60JQNa0nEr/Vampire---4.8_30053',commutativity_of_multiply) ).
fof(f1672,plain,
! [X21,X22] : multiply(add(X21,inverse(X22)),add(X21,X22)) = multiply(add(X21,inverse(X22)),X21),
inference(superposition,[],[f1591,f3]) ).
fof(f3,axiom,
! [X0,X1] : multiply(add(X0,X1),add(X0,inverse(X1))) = X0,
file('/export/starexec/sandbox/tmp/tmp.60JQNa0nEr/Vampire---4.8_30053',b1) ).
fof(f1591,plain,
! [X2,X3] : multiply(X2,X3) = multiply(X2,multiply(X3,X2)),
inference(superposition,[],[f10,f77]) ).
fof(f77,plain,
! [X8,X7] : multiply(X7,X8) = multiply(multiply(X7,X8),X7),
inference(superposition,[],[f28,f38]) ).
fof(f38,plain,
! [X0,X1] : add(X1,multiply(X1,X0)) = X1,
inference(superposition,[],[f31,f8]) ).
fof(f31,plain,
! [X3,X0] : add(X0,multiply(X3,X0)) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f10,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.60JQNa0nEr/Vampire---4.8_30053',associativity_of_multiply) ).
fof(f1576,plain,
! [X24,X22,X23] : multiply(X22,multiply(add(X23,X22),X24)) = multiply(X22,X24),
inference(superposition,[],[f10,f28]) ).
fof(f73805,plain,
! [X253,X254,X255] : multiply(X255,add(X253,X254)) = add(multiply(X255,X254),multiply(X255,multiply(inverse(X254),add(X253,X254)))),
inference(forward_demodulation,[],[f73382,f13248]) ).
fof(f13248,plain,
! [X10,X11,X12] : multiply(X11,multiply(X12,X10)) = multiply(X11,multiply(X10,X12)),
inference(superposition,[],[f4340,f1594]) ).
fof(f1594,plain,
! [X14,X12,X13] : multiply(X12,multiply(X13,X14)) = multiply(X14,multiply(X12,X13)),
inference(superposition,[],[f10,f8]) ).
fof(f4340,plain,
! [X8,X9,X7] : multiply(X7,multiply(X8,X9)) = multiply(X8,multiply(X7,X9)),
inference(superposition,[],[f1570,f10]) ).
fof(f1570,plain,
! [X2,X3,X4] : multiply(X2,multiply(X3,X4)) = multiply(multiply(X3,X2),X4),
inference(superposition,[],[f10,f8]) ).
fof(f73382,plain,
! [X253,X254,X255] : multiply(X255,add(X253,X254)) = add(multiply(X255,X254),multiply(X255,multiply(add(X253,X254),inverse(X254)))),
inference(superposition,[],[f1659,f304]) ).
fof(f304,plain,
! [X14,X13] : multiply(add(X14,X13),X13) = X13,
inference(superposition,[],[f141,f28]) ).
fof(f141,plain,
! [X2,X3] : multiply(X2,X3) = multiply(X3,multiply(X2,X3)),
inference(superposition,[],[f42,f8]) ).
fof(f42,plain,
! [X0,X1] : multiply(X1,X0) = multiply(multiply(X1,X0),X0),
inference(superposition,[],[f28,f31]) ).
fof(f1659,plain,
! [X21,X22,X23] : multiply(X21,X22) = add(multiply(X21,multiply(X22,X23)),multiply(X21,multiply(X22,inverse(X23)))),
inference(forward_demodulation,[],[f1609,f10]) ).
fof(f1609,plain,
! [X21,X22,X23] : multiply(X21,X22) = add(multiply(X21,multiply(X22,X23)),multiply(multiply(X21,X22),inverse(X23))),
inference(superposition,[],[f6,f10]) ).
fof(f6,axiom,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
file('/export/starexec/sandbox/tmp/tmp.60JQNa0nEr/Vampire---4.8_30053',b2) ).
fof(f73007,plain,
! [X104,X105,X103] : multiply(X103,add(X104,multiply(X103,X105))) = add(multiply(X103,X105),multiply(X103,multiply(inverse(X105),X104))),
inference(backward_demodulation,[],[f32979,f73002]) ).
fof(f73002,plain,
! [X208,X206,X207] : multiply(X206,multiply(inverse(X207),X208)) = multiply(X206,multiply(inverse(multiply(X206,X207)),X208)),
inference(backward_demodulation,[],[f17137,f72843]) ).
fof(f72843,plain,
! [X94,X95,X93] : inverse(multiply(X94,X93)) = add(multiply(X95,inverse(X93)),inverse(multiply(X94,X93))),
inference(superposition,[],[f228,f66273]) ).
fof(f66273,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),inverse(multiply(X1,X0))),
inference(superposition,[],[f66187,f40431]) ).
fof(f40431,plain,
! [X18] : inverse(inverse(X18)) = X18,
inference(backward_demodulation,[],[f40252,f40259]) ).
fof(f40259,plain,
! [X37] : add(X37,inverse(inverse(X37))) = X37,
inference(superposition,[],[f39952,f1722]) ).
fof(f39952,plain,
! [X0,X1] : multiply(X1,add(X0,inverse(X0))) = X1,
inference(superposition,[],[f4,f5525]) ).
fof(f5525,plain,
! [X6,X5] : add(X6,add(X5,inverse(X6))) = add(X6,inverse(X6)),
inference(superposition,[],[f5365,f304]) ).
fof(f5365,plain,
! [X0,X1] : add(X1,X0) = add(X1,multiply(X0,inverse(X1))),
inference(superposition,[],[f1145,f6]) ).
fof(f1145,plain,
! [X18,X16,X17] : add(X16,add(multiply(X17,X16),X18)) = add(X16,X18),
inference(superposition,[],[f9,f31]) ).
fof(f9,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.60JQNa0nEr/Vampire---4.8_30053',associativity_of_add) ).
fof(f40252,plain,
! [X18] : inverse(inverse(X18)) = add(X18,inverse(inverse(X18))),
inference(superposition,[],[f39952,f744]) ).
fof(f744,plain,
! [X2,X1] : multiply(add(X2,X1),add(inverse(X2),X1)) = X1,
inference(superposition,[],[f53,f7]) ).
fof(f53,plain,
! [X0,X1] : multiply(add(X1,X0),add(X0,inverse(X1))) = X0,
inference(superposition,[],[f3,f7]) ).
fof(f66187,plain,
! [X222,X221] : multiply(X222,inverse(multiply(X221,inverse(X222)))) = X222,
inference(backward_demodulation,[],[f38080,f66171]) ).
fof(f66171,plain,
! [X2,X1] : multiply(add(X1,X2),inverse(multiply(X2,inverse(X1)))) = X1,
inference(backward_demodulation,[],[f5539,f66170]) ).
fof(f66170,plain,
! [X287,X286] : inverse(multiply(X287,inverse(X286))) = add(X286,inverse(multiply(X287,inverse(X286)))),
inference(forward_demodulation,[],[f66048,f44235]) ).
fof(f44235,plain,
! [X3,X4] : add(X4,multiply(X3,inverse(X3))) = X4,
inference(superposition,[],[f40572,f41913]) ).
fof(f41913,plain,
! [X18,X17] : multiply(X18,inverse(X18)) = inverse(add(X17,inverse(X17))),
inference(forward_demodulation,[],[f41711,f40575]) ).
fof(f40575,plain,
! [X46,X45] : add(inverse(add(X45,inverse(X45))),X46) = X46,
inference(forward_demodulation,[],[f40265,f39954]) ).
fof(f39954,plain,
! [X4,X5] : multiply(add(X4,inverse(X4)),X5) = X5,
inference(superposition,[],[f302,f5525]) ).
fof(f302,plain,
! [X8,X9,X7] : multiply(add(X8,add(X7,X9)),X7) = X7,
inference(superposition,[],[f141,f4]) ).
fof(f40265,plain,
! [X46,X45] : add(inverse(add(X45,inverse(X45))),X46) = multiply(add(X45,inverse(X45)),X46),
inference(superposition,[],[f39952,f5478]) ).
fof(f5478,plain,
! [X41,X42] : multiply(X41,X42) = multiply(add(inverse(X41),X42),X41),
inference(backward_demodulation,[],[f1826,f5370]) ).
fof(f5370,plain,
! [X21,X20] : add(inverse(X21),multiply(X21,X20)) = add(inverse(X21),X20),
inference(superposition,[],[f1145,f1282]) ).
fof(f1282,plain,
! [X34,X33] : add(multiply(X34,inverse(X33)),multiply(X33,X34)) = X34,
inference(forward_demodulation,[],[f1281,f38]) ).
fof(f1281,plain,
! [X34,X33] : add(multiply(X34,inverse(X33)),multiply(X33,X34)) = add(X34,multiply(X34,inverse(X33))),
inference(forward_demodulation,[],[f1238,f7]) ).
fof(f1238,plain,
! [X34,X33] : add(multiply(X34,inverse(X33)),multiply(X33,X34)) = add(multiply(X34,inverse(X33)),X34),
inference(superposition,[],[f1162,f199]) ).
fof(f199,plain,
! [X0,X1] : add(multiply(X1,X0),multiply(X0,inverse(X1))) = X0,
inference(superposition,[],[f6,f8]) ).
fof(f1162,plain,
! [X2,X3] : add(X2,X3) = add(X2,add(X3,X2)),
inference(superposition,[],[f9,f48]) ).
fof(f48,plain,
! [X3,X4] : add(X3,X4) = add(add(X3,X4),X3),
inference(superposition,[],[f31,f34]) ).
fof(f1826,plain,
! [X41,X42] : multiply(X41,X42) = multiply(add(inverse(X41),multiply(X41,X42)),X41),
inference(forward_demodulation,[],[f1781,f7]) ).
fof(f1781,plain,
! [X41,X42] : multiply(X41,X42) = multiply(add(multiply(X41,X42),inverse(X41)),X41),
inference(superposition,[],[f1722,f230]) ).
fof(f230,plain,
! [X14,X13] : add(multiply(X13,X14),X13) = X13,
inference(superposition,[],[f119,f38]) ).
fof(f119,plain,
! [X2,X3] : add(X2,X3) = add(X3,add(X2,X3)),
inference(superposition,[],[f41,f7]) ).
fof(f41,plain,
! [X8,X7] : add(X8,X7) = add(add(X8,X7),X7),
inference(superposition,[],[f31,f28]) ).
fof(f41711,plain,
! [X18,X17] : inverse(add(X17,inverse(X17))) = multiply(X18,add(inverse(add(X17,inverse(X17))),inverse(X18))),
inference(superposition,[],[f3,f40575]) ).
fof(f40572,plain,
! [X40,X39] : add(X39,inverse(add(X40,inverse(X40)))) = X39,
inference(forward_demodulation,[],[f40261,f39954]) ).
fof(f40261,plain,
! [X40,X39] : add(X39,inverse(add(X40,inverse(X40)))) = multiply(add(X40,inverse(X40)),X39),
inference(superposition,[],[f39952,f6612]) ).
fof(f6612,plain,
! [X2,X1] : multiply(X1,X2) = multiply(add(X2,inverse(X1)),X1),
inference(superposition,[],[f5478,f7]) ).
fof(f66048,plain,
! [X287,X286] : add(X286,inverse(multiply(X287,inverse(X286)))) = add(inverse(multiply(X287,inverse(X286))),multiply(X286,inverse(X286))),
inference(superposition,[],[f6053,f6104]) ).
fof(f6104,plain,
! [X16,X15] : multiply(X15,inverse(X15)) = multiply(X15,multiply(X16,inverse(X15))),
inference(superposition,[],[f5479,f31]) ).
fof(f5479,plain,
! [X2,X1] : multiply(X1,X2) = multiply(X1,add(inverse(X1),X2)),
inference(backward_demodulation,[],[f296,f5370]) ).
fof(f296,plain,
! [X2,X1] : multiply(X1,X2) = multiply(X1,add(inverse(X1),multiply(X1,X2))),
inference(forward_demodulation,[],[f283,f7]) ).
fof(f283,plain,
! [X2,X1] : multiply(X1,X2) = multiply(X1,add(multiply(X1,X2),inverse(X1))),
inference(superposition,[],[f3,f230]) ).
fof(f6053,plain,
! [X6,X5] : add(X5,inverse(X6)) = add(inverse(X6),multiply(X5,X6)),
inference(backward_demodulation,[],[f1358,f5972]) ).
fof(f5972,plain,
! [X2,X1] : multiply(X2,X1) = multiply(X1,add(X2,inverse(X1))),
inference(superposition,[],[f5475,f7]) ).
fof(f5475,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,add(inverse(X1),X0)),
inference(backward_demodulation,[],[f269,f5369]) ).
fof(f5369,plain,
! [X18,X19] : add(inverse(X19),multiply(X18,X19)) = add(inverse(X19),X18),
inference(superposition,[],[f1145,f1280]) ).
fof(f1280,plain,
! [X31,X32] : add(multiply(X31,inverse(X32)),multiply(X31,X32)) = X31,
inference(forward_demodulation,[],[f1279,f38]) ).
fof(f1279,plain,
! [X31,X32] : add(multiply(X31,inverse(X32)),multiply(X31,X32)) = add(X31,multiply(X31,inverse(X32))),
inference(forward_demodulation,[],[f1237,f7]) ).
fof(f1237,plain,
! [X31,X32] : add(multiply(X31,inverse(X32)),multiply(X31,X32)) = add(multiply(X31,inverse(X32)),X31),
inference(superposition,[],[f1162,f6]) ).
fof(f269,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,add(inverse(X1),multiply(X0,X1))),
inference(forward_demodulation,[],[f256,f7]) ).
fof(f256,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,add(multiply(X0,X1),inverse(X1))),
inference(superposition,[],[f3,f229]) ).
fof(f229,plain,
! [X11,X12] : add(multiply(X12,X11),X11) = X11,
inference(superposition,[],[f119,f31]) ).
fof(f1358,plain,
! [X6,X5] : add(X5,inverse(X6)) = add(inverse(X6),multiply(X6,add(X5,inverse(X6)))),
inference(forward_demodulation,[],[f1306,f8]) ).
fof(f1306,plain,
! [X6,X5] : add(X5,inverse(X6)) = add(inverse(X6),multiply(add(X5,inverse(X6)),X6)),
inference(superposition,[],[f1280,f304]) ).
fof(f5539,plain,
! [X2,X1] : multiply(add(X1,X2),add(X1,inverse(multiply(X2,inverse(X1))))) = X1,
inference(superposition,[],[f3,f5365]) ).
fof(f38080,plain,
! [X222,X221] : multiply(X222,inverse(multiply(X221,inverse(X222)))) = multiply(add(X222,X221),inverse(multiply(X221,inverse(X222)))),
inference(superposition,[],[f5467,f5468]) ).
fof(f5468,plain,
! [X29,X30] : add(X29,X30) = add(multiply(X30,inverse(X29)),X29),
inference(backward_demodulation,[],[f1364,f5466]) ).
fof(f5466,plain,
! [X16,X15] : multiply(X15,inverse(X16)) = multiply(inverse(X16),add(X16,X15)),
inference(backward_demodulation,[],[f1819,f5365]) ).
fof(f1819,plain,
! [X16,X15] : multiply(X15,inverse(X16)) = multiply(inverse(X16),add(X16,multiply(X15,inverse(X16)))),
inference(forward_demodulation,[],[f1758,f7]) ).
fof(f1758,plain,
! [X16,X15] : multiply(X15,inverse(X16)) = multiply(inverse(X16),add(multiply(X15,inverse(X16)),X16)),
inference(superposition,[],[f1722,f229]) ).
fof(f1364,plain,
! [X29,X30] : add(X29,X30) = add(multiply(inverse(X29),add(X29,X30)),X29),
inference(forward_demodulation,[],[f1327,f8]) ).
fof(f1327,plain,
! [X29,X30] : add(X29,X30) = add(multiply(add(X29,X30),inverse(X29)),X29),
inference(superposition,[],[f1280,f305]) ).
fof(f305,plain,
! [X16,X15] : multiply(add(X15,X16),X15) = X15,
inference(superposition,[],[f141,f34]) ).
fof(f5467,plain,
! [X28,X29] : multiply(X28,inverse(X29)) = multiply(add(X29,X28),inverse(X29)),
inference(backward_demodulation,[],[f270,f5365]) ).
fof(f270,plain,
! [X28,X29] : multiply(X28,inverse(X29)) = multiply(add(X29,multiply(X28,inverse(X29))),inverse(X29)),
inference(forward_demodulation,[],[f268,f7]) ).
fof(f268,plain,
! [X28,X29] : multiply(X28,inverse(X29)) = multiply(add(multiply(X28,inverse(X29)),X29),inverse(X29)),
inference(superposition,[],[f3,f229]) ).
fof(f228,plain,
! [X10,X8,X9] : add(multiply(X9,multiply(X10,X8)),X8) = X8,
inference(superposition,[],[f119,f20]) ).
fof(f20,plain,
! [X2,X0,X1] : add(X0,multiply(X2,multiply(X1,X0))) = X0,
inference(superposition,[],[f1,f8]) ).
fof(f17137,plain,
! [X208,X206,X207] : multiply(X206,multiply(add(multiply(X206,inverse(X207)),inverse(multiply(X206,X207))),X208)) = multiply(X206,multiply(inverse(X207),X208)),
inference(forward_demodulation,[],[f16947,f10]) ).
fof(f16947,plain,
! [X208,X206,X207] : multiply(multiply(X206,inverse(X207)),X208) = multiply(X206,multiply(add(multiply(X206,inverse(X207)),inverse(multiply(X206,X207))),X208)),
inference(superposition,[],[f1578,f1280]) ).
fof(f1578,plain,
! [X28,X29,X30] : multiply(X28,X30) = multiply(add(X28,X29),multiply(add(X28,inverse(X29)),X30)),
inference(superposition,[],[f10,f3]) ).
fof(f32979,plain,
! [X104,X105,X103] : multiply(X103,add(X104,multiply(X103,X105))) = add(multiply(X103,X105),multiply(X103,multiply(inverse(multiply(X103,X105)),X104))),
inference(forward_demodulation,[],[f32978,f7778]) ).
fof(f32978,plain,
! [X104,X105,X103] : multiply(X103,add(X104,multiply(X103,X105))) = add(multiply(X103,X105),multiply(X103,multiply(inverse(multiply(X103,X105)),add(X104,multiply(X103,X105))))),
inference(forward_demodulation,[],[f32977,f13248]) ).
fof(f32977,plain,
! [X104,X105,X103] : multiply(X103,add(X104,multiply(X103,X105))) = add(multiply(X103,X105),multiply(X103,multiply(add(X104,multiply(X103,X105)),inverse(multiply(X103,X105))))),
inference(forward_demodulation,[],[f32976,f1594]) ).
fof(f32976,plain,
! [X104,X105,X103] : multiply(X103,add(X104,multiply(X103,X105))) = add(multiply(X103,X105),multiply(inverse(multiply(X103,X105)),multiply(X103,add(X104,multiply(X103,X105))))),
inference(forward_demodulation,[],[f32790,f8]) ).
fof(f32790,plain,
! [X104,X105,X103] : multiply(X103,add(X104,multiply(X103,X105))) = add(multiply(X103,X105),multiply(multiply(X103,add(X104,multiply(X103,X105))),inverse(multiply(X103,X105)))),
inference(superposition,[],[f6,f1019]) ).
fof(f1019,plain,
! [X40,X38,X39] : multiply(X38,X39) = multiply(multiply(X38,add(X40,multiply(X38,X39))),multiply(X38,X39)),
inference(forward_demodulation,[],[f953,f8]) ).
fof(f953,plain,
! [X40,X38,X39] : multiply(X38,X39) = multiply(multiply(add(X40,multiply(X38,X39)),X38),multiply(X38,X39)),
inference(superposition,[],[f5,f6]) ).
fof(f5,axiom,
! [X2,X0,X1] : multiply(multiply(add(X0,X1),add(X1,X2)),X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.60JQNa0nEr/Vampire---4.8_30053',l4) ).
fof(f39161,plain,
! [X28,X29,X30] : add(multiply(X28,X29),multiply(X29,X30)) = multiply(X29,add(X28,multiply(X29,X30))),
inference(forward_demodulation,[],[f39160,f8]) ).
fof(f39160,plain,
! [X28,X29,X30] : add(multiply(X28,X29),multiply(X29,X30)) = multiply(add(X28,multiply(X29,X30)),X29),
inference(forward_demodulation,[],[f39114,f5474]) ).
fof(f5474,plain,
! [X40,X39] : multiply(X39,X40) = multiply(add(inverse(X40),X39),X40),
inference(backward_demodulation,[],[f1825,f5369]) ).
fof(f1825,plain,
! [X40,X39] : multiply(X39,X40) = multiply(add(inverse(X40),multiply(X39,X40)),X40),
inference(forward_demodulation,[],[f1780,f7]) ).
fof(f1780,plain,
! [X40,X39] : multiply(X39,X40) = multiply(add(multiply(X39,X40),inverse(X40)),X40),
inference(superposition,[],[f1722,f229]) ).
fof(f39114,plain,
! [X28,X29,X30] : add(multiply(X28,X29),multiply(X29,X30)) = multiply(add(inverse(X29),add(X28,multiply(X29,X30))),X29),
inference(backward_demodulation,[],[f1824,f39111]) ).
fof(f39111,plain,
! [X126,X124,X125] : add(inverse(X125),add(multiply(X124,X125),X126)) = add(inverse(X125),add(X124,X126)),
inference(forward_demodulation,[],[f38989,f9]) ).
fof(f38989,plain,
! [X126,X124,X125] : add(inverse(X125),add(multiply(X124,X125),X126)) = add(add(inverse(X125),X124),X126),
inference(superposition,[],[f1141,f5477]) ).
fof(f5477,plain,
! [X34,X33] : add(inverse(X33),X34) = add(multiply(X34,X33),inverse(X33)),
inference(backward_demodulation,[],[f383,f5475]) ).
fof(f383,plain,
! [X34,X33] : add(inverse(X33),X34) = add(multiply(X33,add(inverse(X33),X34)),inverse(X33)),
inference(forward_demodulation,[],[f381,f8]) ).
fof(f381,plain,
! [X34,X33] : add(inverse(X33),X34) = add(multiply(add(inverse(X33),X34),X33),inverse(X33)),
inference(superposition,[],[f6,f305]) ).
fof(f1141,plain,
! [X2,X3,X4] : add(X2,add(X3,X4)) = add(add(X3,X2),X4),
inference(superposition,[],[f9,f7]) ).
fof(f1824,plain,
! [X28,X29,X30] : add(multiply(X28,X29),multiply(X29,X30)) = multiply(add(inverse(X29),add(multiply(X28,X29),multiply(X29,X30))),X29),
inference(forward_demodulation,[],[f1775,f7]) ).
fof(f1775,plain,
! [X28,X29,X30] : add(multiply(X28,X29),multiply(X29,X30)) = multiply(add(add(multiply(X28,X29),multiply(X29,X30)),inverse(X29)),X29),
inference(superposition,[],[f1722,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(multiply(X0,X1),multiply(X1,X2)),X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.60JQNa0nEr/Vampire---4.8_30053',l3) ).
fof(f39241,plain,
! [X2,X0,X1] : add(multiply(X0,X1),multiply(X1,X2)) = multiply(X1,add(multiply(X1,X2),X0)),
inference(forward_demodulation,[],[f39240,f8]) ).
fof(f39240,plain,
! [X2,X0,X1] : add(multiply(X0,X1),multiply(X1,X2)) = multiply(add(multiply(X1,X2),X0),X1),
inference(forward_demodulation,[],[f39115,f18180]) ).
fof(f18180,plain,
! [X461,X460,X459] : multiply(add(X460,X461),X459) = multiply(X459,add(inverse(X459),add(X461,X460))),
inference(superposition,[],[f5475,f11991]) ).
fof(f11991,plain,
! [X10,X11,X12] : add(X11,add(X12,X10)) = add(X11,add(X10,X12)),
inference(superposition,[],[f3580,f1165]) ).
fof(f1165,plain,
! [X14,X12,X13] : add(X12,add(X13,X14)) = add(X14,add(X12,X13)),
inference(superposition,[],[f9,f7]) ).
fof(f3580,plain,
! [X8,X9,X7] : add(X8,add(X7,X9)) = add(X7,add(X8,X9)),
inference(superposition,[],[f1141,f9]) ).
fof(f39115,plain,
! [X2,X0,X1] : add(multiply(X0,X1),multiply(X1,X2)) = multiply(X1,add(inverse(X1),add(X0,multiply(X1,X2)))),
inference(backward_demodulation,[],[f512,f39111]) ).
fof(f512,plain,
! [X2,X0,X1] : add(multiply(X0,X1),multiply(X1,X2)) = multiply(X1,add(inverse(X1),add(multiply(X0,X1),multiply(X1,X2)))),
inference(forward_demodulation,[],[f474,f7]) ).
fof(f474,plain,
! [X2,X0,X1] : add(multiply(X0,X1),multiply(X1,X2)) = multiply(X1,add(add(multiply(X0,X1),multiply(X1,X2)),inverse(X1))),
inference(superposition,[],[f3,f2]) ).
fof(f62753,plain,
! [X6,X7,X5] : add(multiply(X5,X6),multiply(X5,X7)) = multiply(X5,add(multiply(X5,X7),X6)),
inference(forward_demodulation,[],[f62752,f8]) ).
fof(f62752,plain,
! [X6,X7,X5] : add(multiply(X5,X6),multiply(X5,X7)) = multiply(add(multiply(X5,X7),X6),X5),
inference(forward_demodulation,[],[f62669,f18180]) ).
fof(f62669,plain,
! [X6,X7,X5] : add(multiply(X5,X6),multiply(X5,X7)) = multiply(X5,add(inverse(X5),add(X6,multiply(X5,X7)))),
inference(backward_demodulation,[],[f2332,f62657]) ).
fof(f62657,plain,
! [X65,X66,X67] : add(inverse(X65),add(X66,X67)) = add(inverse(X65),add(multiply(X65,X66),X67)),
inference(forward_demodulation,[],[f62467,f9]) ).
fof(f62467,plain,
! [X65,X66,X67] : add(inverse(X65),add(multiply(X65,X66),X67)) = add(add(inverse(X65),X66),X67),
inference(superposition,[],[f9,f5370]) ).
fof(f2332,plain,
! [X6,X7,X5] : add(multiply(X5,X6),multiply(X5,X7)) = multiply(X5,add(inverse(X5),add(multiply(X5,X6),multiply(X5,X7)))),
inference(forward_demodulation,[],[f2255,f7]) ).
fof(f2255,plain,
! [X6,X7,X5] : add(multiply(X5,X6),multiply(X5,X7)) = multiply(X5,add(add(multiply(X5,X6),multiply(X5,X7)),inverse(X5))),
inference(superposition,[],[f3,f437]) ).
fof(f437,plain,
! [X2,X3,X4] : add(add(multiply(X3,X2),multiply(X3,X4)),X3) = X3,
inference(superposition,[],[f2,f8]) ).
fof(f16,plain,
multiply(a,add(b,c)) != add(multiply(a,b),multiply(a,c)),
inference(forward_demodulation,[],[f12,f8]) ).
fof(f12,plain,
multiply(a,add(b,c)) != add(multiply(a,b),multiply(c,a)),
inference(superposition,[],[f11,f8]) ).
fof(f11,axiom,
multiply(a,add(b,c)) != add(multiply(b,a),multiply(c,a)),
file('/export/starexec/sandbox/tmp/tmp.60JQNa0nEr/Vampire---4.8_30053',prove_multiply_add_property) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : BOO028-1 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 30 16:14:52 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.41 % (30177)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (30182)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.12/0.41 % (30179)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.12/0.41 % (30180)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 Vampire---4 for (569ds/0Mi)
% 0.12/0.41 % (30184)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 Vampire---4 for (522ds/0Mi)
% 0.12/0.41 % (30183)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 Vampire---4 for (531ds/0Mi)
% 0.12/0.41 % (30186)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 Vampire---4 for (497ds/0Mi)
% 0.12/0.41 TRYING [1]
% 0.12/0.41 % (30178)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.12/0.41 TRYING [2]
% 0.12/0.41 TRYING [3]
% 0.12/0.42 TRYING [1]
% 0.19/0.42 TRYING [2]
% 0.19/0.42 TRYING [4]
% 0.19/0.42 TRYING [3]
% 0.19/0.43 TRYING [5]
% 0.19/0.44 TRYING [4]
% 0.19/0.48 TRYING [6]
% 0.19/0.50 TRYING [5]
% 0.19/0.69 TRYING [7]
% 3.01/0.83 TRYING [6]
% 7.21/1.51 TRYING [1]
% 7.21/1.51 TRYING [2]
% 7.21/1.51 TRYING [3]
% 7.21/1.52 TRYING [4]
% 7.90/1.53 TRYING [5]
% 7.90/1.57 TRYING [6]
% 9.98/1.86 TRYING [7]
% 10.93/1.98 TRYING [7]
% 12.31/2.23 TRYING [8]
% 12.99/2.29 TRYING [8]
% 16.44/2.81 TRYING [9]
% 28.44/4.53 TRYING [9]
% 36.15/5.60 TRYING [8]
% 138.07/20.24 TRYING [9]
% 227.54/32.96 % (30184)First to succeed.
% 228.01/33.04 % (30184)Refutation found. Thanks to Tanya!
% 228.01/33.04 % SZS status Unsatisfiable for Vampire---4
% 228.01/33.04 % SZS output start Proof for Vampire---4
% See solution above
% 228.01/33.04 % (30184)------------------------------
% 228.01/33.04 % (30184)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 228.01/33.04 % (30184)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 228.01/33.04 % (30184)Termination reason: Refutation
% 228.01/33.04
% 228.01/33.04 % (30184)Memory used [KB]: 1093798
% 228.01/33.04 % (30184)Time elapsed: 32.556 s
% 228.01/33.04 % (30184)------------------------------
% 228.01/33.04 % (30184)------------------------------
% 228.01/33.04 % (30177)Success in time 32.465 s
% 228.01/33.04 % Vampire---4.8 exiting
%------------------------------------------------------------------------------