TSTP Solution File: BOO023-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : BOO023-1 : 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 : n009.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 : Wed Aug 30 18:11:56 EDT 2023
% Result : Unsatisfiable 32.87s 5.06s
% Output : Refutation 32.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 93
% Number of leaves : 8
% Syntax : Number of formulae : 301 ( 301 unt; 0 def)
% Number of atoms : 301 ( 300 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 598 (; 598 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f172037,plain,
$false,
inference(subsumption_resolution,[],[f172031,f2266]) ).
fof(f2266,plain,
! [X16,X15] : add(X15,X16) = add(X16,X15),
inference(forward_demodulation,[],[f2265,f2259]) ).
fof(f2259,plain,
! [X6,X5] : add(X6,X5) = add(X5,multiply(X6,inverse(X5))),
inference(forward_demodulation,[],[f2258,f1674]) ).
fof(f1674,plain,
! [X3,X4] : multiply(X4,inverse(X3)) = multiply(inverse(X3),add(X4,X3)),
inference(forward_demodulation,[],[f1667,f1242]) ).
fof(f1242,plain,
! [X2] : add(X2,inverse(n1)) = X2,
inference(backward_demodulation,[],[f969,f1198]) ).
fof(f1198,plain,
! [X1] : multiply(X1,n1) = X1,
inference(backward_demodulation,[],[f1176,f1197]) ).
fof(f1197,plain,
! [X2] : add(inverse(n1),X2) = X2,
inference(forward_demodulation,[],[f1196,f948]) ).
fof(f948,plain,
! [X9] : inverse(n1) = multiply(X9,inverse(n1)),
inference(superposition,[],[f1,f894]) ).
fof(f894,plain,
! [X1] : add(multiply(X1,n1),inverse(n1)) = X1,
inference(forward_demodulation,[],[f893,f826]) ).
fof(f826,plain,
! [X10,X11] : multiply(n1,add(X11,inverse(X10))) = add(multiply(X11,n1),inverse(X10)),
inference(superposition,[],[f2,f780]) ).
fof(f780,plain,
! [X3] : inverse(X3) = multiply(inverse(X3),n1),
inference(forward_demodulation,[],[f775,f17]) ).
fof(f17,plain,
! [X0] : add(inverse(n1),multiply(X0,n1)) = X0,
inference(superposition,[],[f15,f16]) ).
fof(f16,plain,
! [X0] : inverse(X0) = multiply(n1,inverse(X0)),
inference(superposition,[],[f1,f3]) ).
fof(f3,axiom,
! [X0] : add(X0,inverse(X0)) = n1,
file('/export/starexec/sandbox/tmp/tmp.JHaqILbvjP/Vampire---4.8_29647',additive_inverse) ).
fof(f15,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),multiply(X1,n1)) = X1,
inference(forward_demodulation,[],[f13,f3]) ).
fof(f13,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),multiply(X1,add(X0,inverse(X0)))) = X1,
inference(backward_demodulation,[],[f10,f2]) ).
fof(f10,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),add(multiply(X0,X1),multiply(inverse(X0),X1))) = X1,
inference(definition_unfolding,[],[f5,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] : pixley(X0,X1,X2) = add(multiply(X0,inverse(X1)),add(multiply(X0,X2),multiply(inverse(X1),X2))),
file('/export/starexec/sandbox/tmp/tmp.JHaqILbvjP/Vampire---4.8_29647',pixley_defn) ).
fof(f5,axiom,
! [X0,X1] : pixley(X0,X0,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.JHaqILbvjP/Vampire---4.8_29647',pixley1) ).
fof(f775,plain,
! [X3] : multiply(inverse(X3),n1) = add(inverse(n1),multiply(inverse(X3),n1)),
inference(superposition,[],[f17,f635]) ).
fof(f635,plain,
! [X0] : multiply(inverse(X0),n1) = multiply(multiply(inverse(X0),n1),n1),
inference(forward_demodulation,[],[f634,f612]) ).
fof(f612,plain,
! [X0] : multiply(inverse(X0),n1) = multiply(n1,multiply(inverse(X0),n1)),
inference(backward_demodulation,[],[f278,f571]) ).
fof(f571,plain,
! [X0] : add(inverse(X0),inverse(X0)) = multiply(inverse(X0),n1),
inference(backward_demodulation,[],[f79,f554]) ).
fof(f554,plain,
! [X0] : n1 = add(X0,n1),
inference(backward_demodulation,[],[f20,f553]) ).
fof(f553,plain,
n1 = add(inverse(n1),n1),
inference(forward_demodulation,[],[f547,f20]) ).
fof(f547,plain,
! [X0] : n1 = add(inverse(add(X0,n1)),n1),
inference(superposition,[],[f55,f541]) ).
fof(f541,plain,
! [X14] : n1 = multiply(add(X14,n1),add(n1,inverse(add(X14,n1)))),
inference(backward_demodulation,[],[f539,f540]) ).
fof(f540,plain,
! [X16,X17] : add(add(X16,n1),multiply(X17,add(X16,n1))) = multiply(add(X16,n1),add(n1,X17)),
inference(forward_demodulation,[],[f530,f470]) ).
fof(f470,plain,
! [X18,X19,X20] : multiply(add(X19,n1),add(add(X18,n1),X20)) = multiply(add(X19,n1),add(n1,X20)),
inference(forward_demodulation,[],[f455,f433]) ).
fof(f433,plain,
! [X11,X12] : multiply(add(X11,n1),add(n1,X12)) = add(add(inverse(n1),n1),multiply(X12,add(X11,n1))),
inference(forward_demodulation,[],[f423,f308]) ).
fof(f308,plain,
! [X11,X12] : multiply(add(X11,n1),add(multiply(n1,n1),X12)) = multiply(add(X11,n1),add(n1,X12)),
inference(forward_demodulation,[],[f300,f92]) ).
fof(f92,plain,
! [X8,X9,X7] : multiply(add(X8,n1),add(X7,X9)) = add(add(X7,multiply(n1,X7)),multiply(X9,add(X8,n1))),
inference(superposition,[],[f2,f73]) ).
fof(f73,plain,
! [X3,X4] : add(X3,multiply(n1,X3)) = multiply(X3,add(X4,n1)),
inference(superposition,[],[f41,f23]) ).
fof(f23,plain,
! [X0,X1] : add(X0,n1) = add(X1,n1),
inference(superposition,[],[f20,f20]) ).
fof(f41,plain,
! [X2,X0,X1] : multiply(X1,add(add(X0,X1),X2)) = add(X1,multiply(X2,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f300,plain,
! [X11,X12] : multiply(add(X11,n1),add(multiply(n1,n1),X12)) = add(add(n1,multiply(n1,n1)),multiply(X12,add(X11,n1))),
inference(superposition,[],[f2,f94]) ).
fof(f94,plain,
! [X2] : multiply(multiply(n1,n1),add(X2,n1)) = add(n1,multiply(n1,n1)),
inference(forward_demodulation,[],[f93,f73]) ).
fof(f93,plain,
! [X2] : multiply(multiply(n1,n1),add(X2,n1)) = multiply(n1,add(n1,n1)),
inference(forward_demodulation,[],[f80,f2]) ).
fof(f80,plain,
! [X2] : multiply(multiply(n1,n1),add(X2,n1)) = add(multiply(n1,n1),multiply(n1,n1)),
inference(superposition,[],[f73,f19]) ).
fof(f19,plain,
! [X1] : multiply(X1,n1) = multiply(X1,multiply(X1,n1)),
inference(superposition,[],[f1,f15]) ).
fof(f423,plain,
! [X11,X12] : multiply(add(X11,n1),add(multiply(n1,n1),X12)) = add(add(inverse(n1),n1),multiply(X12,add(X11,n1))),
inference(superposition,[],[f2,f397]) ).
fof(f397,plain,
! [X2] : add(inverse(n1),n1) = multiply(multiply(n1,n1),add(X2,n1)),
inference(backward_demodulation,[],[f94,f395]) ).
fof(f395,plain,
add(inverse(n1),n1) = add(n1,multiply(n1,n1)),
inference(forward_demodulation,[],[f394,f73]) ).
fof(f394,plain,
! [X6] : add(inverse(n1),n1) = multiply(n1,add(X6,n1)),
inference(forward_demodulation,[],[f384,f20]) ).
fof(f384,plain,
! [X6,X5] : multiply(n1,add(X6,n1)) = add(multiply(add(X5,add(X6,n1)),n1),n1),
inference(superposition,[],[f44,f225]) ).
fof(f225,plain,
! [X11,X12] : add(X12,n1) = add(add(X11,add(X12,n1)),add(inverse(n1),n1)),
inference(forward_demodulation,[],[f224,f99]) ).
fof(f99,plain,
! [X2,X0,X1] : add(X1,n1) = multiply(add(X0,add(X1,n1)),add(X2,n1)),
inference(superposition,[],[f83,f1]) ).
fof(f83,plain,
! [X2,X0,X1] : multiply(X0,add(X1,n1)) = multiply(X0,add(X2,n1)),
inference(superposition,[],[f73,f73]) ).
fof(f224,plain,
! [X11,X12,X13] : multiply(add(X11,add(X12,n1)),add(X13,n1)) = add(add(X11,add(X12,n1)),add(inverse(n1),n1)),
inference(forward_demodulation,[],[f220,f20]) ).
fof(f220,plain,
! [X11,X12,X13] : multiply(add(X11,add(X12,n1)),add(X13,n1)) = add(add(X11,add(X12,n1)),add(multiply(X11,n1),n1)),
inference(superposition,[],[f73,f44]) ).
fof(f44,plain,
! [X2,X0,X1] : multiply(X1,add(X2,add(X0,X1))) = add(multiply(X2,X1),X1),
inference(superposition,[],[f2,f1]) ).
fof(f455,plain,
! [X18,X19,X20] : multiply(add(X19,n1),add(add(X18,n1),X20)) = add(add(inverse(n1),n1),multiply(X20,add(X19,n1))),
inference(superposition,[],[f2,f383]) ).
fof(f383,plain,
! [X3,X4] : add(inverse(n1),n1) = multiply(add(X3,n1),add(X4,n1)),
inference(superposition,[],[f99,f225]) ).
fof(f530,plain,
! [X16,X17] : add(add(X16,n1),multiply(X17,add(X16,n1))) = multiply(add(X16,n1),add(add(X16,n1),X17)),
inference(superposition,[],[f41,f496]) ).
fof(f496,plain,
! [X0,X1] : add(X0,n1) = add(add(X1,n1),add(X0,n1)),
inference(superposition,[],[f378,f20]) ).
fof(f378,plain,
! [X1] : add(inverse(n1),n1) = add(add(X1,n1),add(inverse(n1),n1)),
inference(superposition,[],[f225,f225]) ).
fof(f539,plain,
! [X14] : n1 = add(add(X14,n1),multiply(inverse(add(X14,n1)),add(X14,n1))),
inference(forward_demodulation,[],[f529,f1]) ).
fof(f529,plain,
! [X14] : multiply(add(X14,n1),n1) = add(add(X14,n1),multiply(inverse(add(X14,n1)),add(X14,n1))),
inference(superposition,[],[f72,f496]) ).
fof(f72,plain,
! [X0,X1] : multiply(X1,n1) = add(X1,multiply(inverse(add(X0,X1)),X1)),
inference(superposition,[],[f41,f3]) ).
fof(f55,plain,
! [X2] : n1 = add(inverse(X2),multiply(X2,add(n1,inverse(X2)))),
inference(superposition,[],[f14,f16]) ).
fof(f14,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),multiply(X1,add(X0,inverse(X1)))) = X0,
inference(backward_demodulation,[],[f11,f2]) ).
fof(f11,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),add(multiply(X0,X1),multiply(inverse(X1),X1))) = X0,
inference(definition_unfolding,[],[f6,f4]) ).
fof(f6,axiom,
! [X0,X1] : pixley(X0,X1,X1) = X0,
file('/export/starexec/sandbox/tmp/tmp.JHaqILbvjP/Vampire---4.8_29647',pixley2) ).
fof(f20,plain,
! [X0] : add(X0,n1) = add(inverse(n1),n1),
inference(superposition,[],[f17,f1]) ).
fof(f79,plain,
! [X0,X1] : multiply(inverse(X0),add(X1,n1)) = add(inverse(X0),inverse(X0)),
inference(superposition,[],[f73,f16]) ).
fof(f278,plain,
! [X0] : add(inverse(X0),inverse(X0)) = multiply(n1,add(inverse(X0),inverse(X0))),
inference(forward_demodulation,[],[f268,f1]) ).
fof(f268,plain,
! [X0,X1] : add(inverse(X0),inverse(X0)) = multiply(multiply(add(X1,n1),n1),add(inverse(X0),inverse(X0))),
inference(superposition,[],[f226,f79]) ).
fof(f226,plain,
! [X0,X1] : multiply(inverse(X0),X1) = multiply(multiply(X1,n1),multiply(inverse(X0),X1)),
inference(superposition,[],[f47,f3]) ).
fof(f47,plain,
! [X2,X0,X1] : multiply(X2,X1) = multiply(multiply(X1,add(X0,X2)),multiply(X2,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f634,plain,
! [X0] : multiply(multiply(inverse(X0),n1),n1) = multiply(n1,multiply(inverse(X0),n1)),
inference(forward_demodulation,[],[f633,f571]) ).
fof(f633,plain,
! [X0] : multiply(n1,add(inverse(X0),inverse(X0))) = multiply(multiply(inverse(X0),n1),n1),
inference(forward_demodulation,[],[f632,f2]) ).
fof(f632,plain,
! [X0] : multiply(multiply(inverse(X0),n1),n1) = add(multiply(inverse(X0),n1),multiply(inverse(X0),n1)),
inference(forward_demodulation,[],[f600,f571]) ).
fof(f600,plain,
! [X0] : add(add(inverse(X0),inverse(X0)),add(inverse(X0),inverse(X0))) = multiply(add(inverse(X0),inverse(X0)),n1),
inference(backward_demodulation,[],[f340,f554]) ).
fof(f340,plain,
! [X0,X1] : multiply(add(inverse(X0),inverse(X0)),add(X1,n1)) = add(add(inverse(X0),inverse(X0)),add(inverse(X0),inverse(X0))),
inference(superposition,[],[f73,f278]) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox/tmp/tmp.JHaqILbvjP/Vampire---4.8_29647',multiply_add_property) ).
fof(f893,plain,
! [X1] : multiply(n1,add(X1,inverse(n1))) = X1,
inference(forward_demodulation,[],[f892,f2]) ).
fof(f892,plain,
! [X1] : add(multiply(X1,n1),multiply(inverse(n1),n1)) = X1,
inference(forward_demodulation,[],[f880,f554]) ).
fof(f880,plain,
! [X1] : add(multiply(X1,n1),multiply(inverse(n1),add(X1,n1))) = X1,
inference(superposition,[],[f14,f862]) ).
fof(f862,plain,
n1 = inverse(inverse(n1)),
inference(superposition,[],[f823,f3]) ).
fof(f823,plain,
! [X5] : inverse(X5) = add(inverse(n1),inverse(X5)),
inference(superposition,[],[f17,f780]) ).
fof(f1,axiom,
! [X0,X1] : multiply(add(X0,X1),X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.JHaqILbvjP/Vampire---4.8_29647',multiply_add) ).
fof(f1196,plain,
! [X2] : add(multiply(X2,inverse(n1)),X2) = X2,
inference(forward_demodulation,[],[f1195,f17]) ).
fof(f1195,plain,
! [X2] : add(multiply(X2,inverse(n1)),add(inverse(n1),multiply(X2,n1))) = X2,
inference(forward_demodulation,[],[f1177,f827]) ).
fof(f827,plain,
! [X12,X13] : multiply(n1,add(inverse(X12),X13)) = add(inverse(X12),multiply(X13,n1)),
inference(superposition,[],[f2,f780]) ).
fof(f1177,plain,
! [X2] : add(multiply(X2,inverse(n1)),multiply(n1,add(inverse(n1),X2))) = X2,
inference(superposition,[],[f14,f999]) ).
fof(f999,plain,
! [X4] : add(X4,inverse(n1)) = add(inverse(n1),X4),
inference(superposition,[],[f17,f969]) ).
fof(f1176,plain,
! [X1] : multiply(add(inverse(n1),X1),n1) = X1,
inference(superposition,[],[f969,f999]) ).
fof(f969,plain,
! [X2] : multiply(add(X2,inverse(n1)),n1) = X2,
inference(forward_demodulation,[],[f960,f957]) ).
fof(f957,plain,
! [X0] : multiply(X0,n1) = add(inverse(n1),multiply(n1,X0)),
inference(backward_demodulation,[],[f942,f948]) ).
fof(f942,plain,
! [X0] : multiply(X0,n1) = add(multiply(multiply(X0,n1),inverse(n1)),multiply(n1,X0)),
inference(superposition,[],[f14,f894]) ).
fof(f960,plain,
! [X2] : add(inverse(n1),multiply(n1,add(X2,inverse(n1)))) = X2,
inference(superposition,[],[f14,f948]) ).
fof(f1667,plain,
! [X3,X4] : multiply(inverse(X3),add(X4,X3)) = add(multiply(X4,inverse(X3)),inverse(n1)),
inference(superposition,[],[f2,f1321]) ).
fof(f1321,plain,
! [X16] : inverse(n1) = multiply(X16,inverse(X16)),
inference(forward_demodulation,[],[f1320,f1305]) ).
fof(f1305,plain,
! [X6,X5] : multiply(X6,X5) = multiply(X5,X6),
inference(forward_demodulation,[],[f1199,f1197]) ).
fof(f1199,plain,
! [X6,X5] : add(inverse(n1),multiply(X6,X5)) = multiply(X5,X6),
inference(backward_demodulation,[],[f1138,f1197]) ).
fof(f1138,plain,
! [X6,X5] : multiply(X5,add(inverse(n1),X6)) = add(inverse(n1),multiply(X6,X5)),
inference(superposition,[],[f2,f1098]) ).
fof(f1098,plain,
! [X5] : inverse(n1) = multiply(inverse(n1),X5),
inference(superposition,[],[f950,f14]) ).
fof(f950,plain,
! [X4,X5] : inverse(n1) = multiply(inverse(n1),add(X5,X4)),
inference(forward_demodulation,[],[f945,f782]) ).
fof(f782,plain,
! [X3,X4] : inverse(X3) = add(multiply(X4,inverse(X3)),inverse(X3)),
inference(backward_demodulation,[],[f569,f780]) ).
fof(f569,plain,
! [X3,X4] : add(multiply(X4,inverse(X3)),inverse(X3)) = multiply(inverse(X3),n1),
inference(backward_demodulation,[],[f45,f554]) ).
fof(f45,plain,
! [X3,X4] : multiply(inverse(X3),add(X4,n1)) = add(multiply(X4,inverse(X3)),inverse(X3)),
inference(superposition,[],[f2,f16]) ).
fof(f945,plain,
! [X4,X5] : add(multiply(X5,inverse(n1)),inverse(n1)) = multiply(inverse(n1),add(X5,X4)),
inference(superposition,[],[f44,f894]) ).
fof(f1320,plain,
! [X16] : inverse(n1) = multiply(inverse(X16),X16),
inference(forward_demodulation,[],[f1202,f1197]) ).
fof(f1202,plain,
! [X16] : inverse(n1) = add(inverse(n1),multiply(inverse(X16),X16)),
inference(backward_demodulation,[],[f1168,f1197]) ).
fof(f1168,plain,
! [X16] : inverse(n1) = add(inverse(n1),add(inverse(n1),multiply(inverse(X16),X16))),
inference(forward_demodulation,[],[f1147,f1138]) ).
fof(f1147,plain,
! [X16] : inverse(n1) = add(inverse(n1),multiply(X16,add(inverse(n1),inverse(X16)))),
inference(superposition,[],[f14,f1098]) ).
fof(f2258,plain,
! [X6,X5] : add(X6,X5) = add(X5,multiply(inverse(X5),add(X6,X5))),
inference(forward_demodulation,[],[f2230,f1487]) ).
fof(f1487,plain,
! [X6,X7,X5] : multiply(add(X6,X5),add(X5,X7)) = add(X5,multiply(X7,add(X6,X5))),
inference(superposition,[],[f2,f1290]) ).
fof(f1290,plain,
! [X6,X5] : multiply(X5,add(X6,X5)) = X5,
inference(backward_demodulation,[],[f1212,f1278]) ).
fof(f1278,plain,
! [X6,X7] : add(multiply(X7,X6),X6) = X6,
inference(backward_demodulation,[],[f1236,f1273]) ).
fof(f1273,plain,
! [X0] : add(X0,X0) = X0,
inference(backward_demodulation,[],[f891,f1271]) ).
fof(f1271,plain,
! [X10,X9] : add(X10,X9) = multiply(n1,add(X10,X9)),
inference(backward_demodulation,[],[f1232,f1242]) ).
fof(f1232,plain,
! [X10,X9] : add(X10,X9) = multiply(n1,add(X10,add(X9,inverse(n1)))),
inference(backward_demodulation,[],[f1002,f1198]) ).
fof(f1002,plain,
! [X10,X9] : multiply(n1,add(X10,add(X9,inverse(n1)))) = add(multiply(X10,n1),X9),
inference(superposition,[],[f2,f969]) ).
fof(f891,plain,
! [X0] : multiply(n1,add(X0,X0)) = X0,
inference(forward_demodulation,[],[f890,f2]) ).
fof(f890,plain,
! [X0] : add(multiply(X0,n1),multiply(X0,n1)) = X0,
inference(forward_demodulation,[],[f879,f554]) ).
fof(f879,plain,
! [X0] : add(multiply(X0,n1),multiply(X0,add(X0,n1))) = X0,
inference(superposition,[],[f12,f862]) ).
fof(f12,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),multiply(X0,add(X0,inverse(X1)))) = X0,
inference(backward_demodulation,[],[f9,f2]) ).
fof(f9,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),add(multiply(X0,X0),multiply(inverse(X1),X0))) = X0,
inference(definition_unfolding,[],[f7,f4]) ).
fof(f7,axiom,
! [X0,X1] : pixley(X0,X1,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.JHaqILbvjP/Vampire---4.8_29647',pixley3) ).
fof(f1236,plain,
! [X6,X7] : add(X6,X6) = add(multiply(X7,add(X6,X6)),X6),
inference(backward_demodulation,[],[f919,f1198]) ).
fof(f919,plain,
! [X6,X7] : add(multiply(X7,add(X6,X6)),X6) = multiply(add(X6,X6),n1),
inference(forward_demodulation,[],[f910,f554]) ).
fof(f910,plain,
! [X6,X7] : multiply(add(X6,X6),add(X7,n1)) = add(multiply(X7,add(X6,X6)),X6),
inference(superposition,[],[f2,f891]) ).
fof(f1212,plain,
! [X6,X5] : add(multiply(X6,X5),X5) = multiply(X5,add(X6,X5)),
inference(backward_demodulation,[],[f46,f1198]) ).
fof(f46,plain,
! [X6,X5] : multiply(multiply(X5,n1),add(X6,X5)) = add(multiply(X6,multiply(X5,n1)),multiply(X5,n1)),
inference(superposition,[],[f2,f19]) ).
fof(f2230,plain,
! [X6,X5] : add(X6,X5) = multiply(add(X6,X5),add(X5,inverse(X5))),
inference(superposition,[],[f2088,f1290]) ).
fof(f2088,plain,
! [X24,X23] : multiply(X23,add(X24,inverse(multiply(X24,X23)))) = X23,
inference(forward_demodulation,[],[f2060,f1645]) ).
fof(f1645,plain,
! [X6,X4,X5] : multiply(X5,add(X6,X4)) = add(multiply(X6,X5),multiply(X5,X4)),
inference(superposition,[],[f2,f1305]) ).
fof(f2060,plain,
! [X24,X23] : add(multiply(X24,X23),multiply(X23,inverse(multiply(X24,X23)))) = X23,
inference(superposition,[],[f1675,f1603]) ).
fof(f1603,plain,
! [X10,X9] : multiply(X9,X10) = multiply(X10,multiply(X9,X10)),
inference(forward_demodulation,[],[f1592,f1305]) ).
fof(f1592,plain,
! [X10,X9] : multiply(X9,X10) = multiply(multiply(X9,X10),X10),
inference(superposition,[],[f1569,f1278]) ).
fof(f1569,plain,
! [X6,X5] : multiply(X5,add(X5,X6)) = X5,
inference(backward_demodulation,[],[f1211,f1565]) ).
fof(f1565,plain,
! [X8,X9] : add(X8,multiply(X9,X8)) = X8,
inference(forward_demodulation,[],[f1552,f1198]) ).
fof(f1552,plain,
! [X8,X9] : multiply(X8,n1) = add(X8,multiply(X9,X8)),
inference(backward_demodulation,[],[f1277,f1545]) ).
fof(f1545,plain,
! [X6] : n1 = add(n1,X6),
inference(superposition,[],[f1512,f1540]) ).
fof(f1540,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(forward_demodulation,[],[f1539,f1197]) ).
fof(f1539,plain,
! [X3] : add(inverse(n1),X3) = inverse(inverse(X3)),
inference(forward_demodulation,[],[f1538,f1321]) ).
fof(f1538,plain,
! [X3] : inverse(inverse(X3)) = add(multiply(inverse(X3),inverse(inverse(X3))),X3),
inference(forward_demodulation,[],[f1537,f1305]) ).
fof(f1537,plain,
! [X3] : inverse(inverse(X3)) = add(multiply(inverse(inverse(X3)),inverse(X3)),X3),
inference(forward_demodulation,[],[f1535,f1198]) ).
fof(f1535,plain,
! [X3] : inverse(inverse(X3)) = add(multiply(inverse(inverse(X3)),inverse(X3)),multiply(X3,n1)),
inference(superposition,[],[f14,f1521]) ).
fof(f1521,plain,
! [X2] : n1 = add(inverse(X2),X2),
inference(forward_demodulation,[],[f1516,f1198]) ).
fof(f1516,plain,
! [X2] : n1 = add(inverse(X2),multiply(X2,n1)),
inference(backward_demodulation,[],[f55,f1512]) ).
fof(f1512,plain,
! [X2] : n1 = add(n1,inverse(X2)),
inference(backward_demodulation,[],[f801,f1500]) ).
fof(f1500,plain,
! [X4,X5] : add(X5,X4) = add(X4,add(X5,X4)),
inference(superposition,[],[f1278,f1290]) ).
fof(f801,plain,
! [X2] : n1 = add(inverse(X2),add(n1,inverse(X2))),
inference(backward_demodulation,[],[f644,f780]) ).
fof(f644,plain,
! [X2] : n1 = add(inverse(X2),add(n1,multiply(inverse(X2),n1))),
inference(backward_demodulation,[],[f49,f609]) ).
fof(f609,plain,
! [X17] : add(n1,multiply(X17,n1)) = multiply(n1,add(n1,X17)),
inference(backward_demodulation,[],[f540,f554]) ).
fof(f49,plain,
! [X2] : n1 = add(inverse(X2),multiply(n1,add(n1,inverse(X2)))),
inference(superposition,[],[f12,f16]) ).
fof(f1277,plain,
! [X8,X9] : add(X8,multiply(X9,X8)) = multiply(X8,add(n1,X9)),
inference(backward_demodulation,[],[f911,f1273]) ).
fof(f911,plain,
! [X8,X9] : multiply(add(X8,X8),add(n1,X9)) = add(X8,multiply(X9,add(X8,X8))),
inference(superposition,[],[f2,f891]) ).
fof(f1211,plain,
! [X6,X5] : multiply(X5,add(X5,X6)) = add(X5,multiply(X6,X5)),
inference(backward_demodulation,[],[f43,f1198]) ).
fof(f43,plain,
! [X6,X5] : multiply(multiply(X5,n1),add(X5,X6)) = add(multiply(X5,n1),multiply(X6,multiply(X5,n1))),
inference(superposition,[],[f2,f19]) ).
fof(f1675,plain,
! [X2,X1] : add(multiply(X2,X1),multiply(X2,inverse(X1))) = X2,
inference(backward_demodulation,[],[f1542,f1674]) ).
fof(f1542,plain,
! [X2,X1] : add(multiply(X2,X1),multiply(inverse(X1),add(X2,X1))) = X2,
inference(superposition,[],[f14,f1540]) ).
fof(f2265,plain,
! [X16,X15] : add(X15,X16) = add(X15,multiply(X16,inverse(X15))),
inference(forward_demodulation,[],[f2264,f1673]) ).
fof(f1673,plain,
! [X2,X1] : multiply(inverse(X1),add(X1,X2)) = multiply(X2,inverse(X1)),
inference(forward_demodulation,[],[f1666,f1197]) ).
fof(f1666,plain,
! [X2,X1] : multiply(inverse(X1),add(X1,X2)) = add(inverse(n1),multiply(X2,inverse(X1))),
inference(superposition,[],[f2,f1321]) ).
fof(f2264,plain,
! [X16,X15] : add(X15,X16) = add(X15,multiply(inverse(X15),add(X15,X16))),
inference(forward_demodulation,[],[f2234,f1600]) ).
fof(f1600,plain,
! [X8,X9,X7] : multiply(add(X7,X8),add(X7,X9)) = add(X7,multiply(X9,add(X7,X8))),
inference(superposition,[],[f2,f1569]) ).
fof(f2234,plain,
! [X16,X15] : add(X15,X16) = multiply(add(X15,X16),add(X15,inverse(X15))),
inference(superposition,[],[f2088,f1569]) ).
fof(f172031,plain,
add(a,multiply(b,c)) != add(multiply(b,c),a),
inference(backward_demodulation,[],[f1604,f171491]) ).
fof(f171491,plain,
! [X26,X24,X25] : add(multiply(X26,X25),X24) = add(X24,multiply(X25,add(X24,X26))),
inference(superposition,[],[f169995,f2]) ).
fof(f169995,plain,
! [X10,X11,X12] : add(X10,X12) = add(X12,add(multiply(X12,X11),X10)),
inference(superposition,[],[f169169,f161324]) ).
fof(f161324,plain,
! [X46,X47,X45] : add(X47,multiply(X45,X46)) = add(multiply(X46,X45),X47),
inference(superposition,[],[f150955,f2266]) ).
fof(f150955,plain,
! [X1195,X1194,X1193] : add(multiply(X1193,X1194),X1195) = add(multiply(X1194,X1193),X1195),
inference(forward_demodulation,[],[f150362,f2285]) ).
fof(f2285,plain,
! [X3,X4] : add(X3,X4) = add(X4,multiply(inverse(X4),X3)),
inference(backward_demodulation,[],[f2019,f2266]) ).
fof(f2019,plain,
! [X3,X4] : add(X3,X4) = add(multiply(inverse(X4),X3),X4),
inference(superposition,[],[f1676,f1305]) ).
fof(f1676,plain,
! [X0,X1] : add(X1,X0) = add(multiply(X1,inverse(X0)),X0),
inference(backward_demodulation,[],[f1325,f1674]) ).
fof(f1325,plain,
! [X0,X1] : add(X1,X0) = add(multiply(inverse(X0),add(X1,X0)),X0),
inference(forward_demodulation,[],[f1322,f1242]) ).
fof(f1322,plain,
! [X0,X1] : add(X1,X0) = add(multiply(inverse(X0),add(X1,X0)),add(X0,inverse(n1))),
inference(backward_demodulation,[],[f1317,f1321]) ).
fof(f1317,plain,
! [X0,X1] : add(X1,X0) = add(multiply(inverse(X0),add(X1,X0)),add(X0,multiply(X0,inverse(X0)))),
inference(forward_demodulation,[],[f1307,f1305]) ).
fof(f1307,plain,
! [X0,X1] : add(X1,X0) = add(multiply(inverse(X0),add(X1,X0)),add(X0,multiply(inverse(X0),X0))),
inference(backward_demodulation,[],[f76,f1305]) ).
fof(f76,plain,
! [X0,X1] : add(X1,X0) = add(multiply(add(X1,X0),inverse(X0)),add(X0,multiply(inverse(X0),X0))),
inference(superposition,[],[f14,f41]) ).
fof(f150362,plain,
! [X1195,X1194,X1193] : add(multiply(X1193,X1194),X1195) = add(X1195,multiply(inverse(X1195),multiply(X1194,X1193))),
inference(superposition,[],[f2259,f149673]) ).
fof(f149673,plain,
! [X215,X213,X214] : multiply(multiply(X214,X213),X215) = multiply(X215,multiply(X213,X214)),
inference(forward_demodulation,[],[f149672,f6143]) ).
fof(f6143,plain,
! [X10,X8,X9] : multiply(X9,multiply(X10,X8)) = multiply(X8,multiply(X9,multiply(X10,X8))),
inference(forward_demodulation,[],[f6066,f1198]) ).
fof(f6066,plain,
! [X10,X8,X9] : multiply(X8,multiply(X9,multiply(X10,X8))) = multiply(multiply(X9,multiply(X10,X8)),n1),
inference(superposition,[],[f2194,f4477]) ).
fof(f4477,plain,
! [X38,X36,X37] : n1 = add(X36,inverse(multiply(X38,multiply(X37,X36)))),
inference(forward_demodulation,[],[f4408,f2266]) ).
fof(f4408,plain,
! [X38,X36,X37] : n1 = add(inverse(multiply(X38,multiply(X37,X36))),X36),
inference(superposition,[],[f3789,f1565]) ).
fof(f3789,plain,
! [X38,X36,X37] : n1 = add(inverse(multiply(X37,X36)),add(X38,X36)),
inference(superposition,[],[f2781,f1565]) ).
fof(f2781,plain,
! [X8,X9,X7] : n1 = add(inverse(X7),add(X8,add(X9,X7))),
inference(forward_demodulation,[],[f2750,f2266]) ).
fof(f2750,plain,
! [X8,X9,X7] : n1 = add(add(X8,add(X9,X7)),inverse(X7)),
inference(superposition,[],[f2669,f1285]) ).
fof(f1285,plain,
! [X2,X0,X1] : multiply(X1,add(X2,add(X0,X1))) = X1,
inference(backward_demodulation,[],[f44,f1278]) ).
fof(f2669,plain,
! [X14,X13] : n1 = add(X13,inverse(multiply(X14,X13))),
inference(forward_demodulation,[],[f2639,f2266]) ).
fof(f2639,plain,
! [X14,X13] : n1 = add(inverse(multiply(X14,X13)),X13),
inference(superposition,[],[f2561,f1565]) ).
fof(f2561,plain,
! [X0,X1] : n1 = add(inverse(X0),add(X1,X0)),
inference(superposition,[],[f2532,f1540]) ).
fof(f2532,plain,
! [X6,X7] : n1 = add(X6,add(X7,inverse(X6))),
inference(forward_demodulation,[],[f2531,f3]) ).
fof(f2531,plain,
! [X6,X7] : add(X6,inverse(X6)) = add(X6,add(X7,inverse(X6))),
inference(forward_demodulation,[],[f2498,f2266]) ).
fof(f2498,plain,
! [X6,X7] : add(X6,inverse(X6)) = add(add(X7,inverse(X6)),X6),
inference(superposition,[],[f2285,f1290]) ).
fof(f2194,plain,
! [X10,X9] : multiply(X9,X10) = multiply(X10,add(X9,inverse(X10))),
inference(forward_demodulation,[],[f2193,f1626]) ).
fof(f1626,plain,
! [X3,X4] : add(X3,X4) = add(add(X3,X4),X3),
inference(superposition,[],[f1565,f1569]) ).
fof(f2193,plain,
! [X10,X9] : multiply(X9,X10) = multiply(X10,add(add(X9,inverse(X10)),X9)),
inference(forward_demodulation,[],[f2192,f1644]) ).
fof(f1644,plain,
! [X2,X3,X1] : multiply(X2,add(X1,X3)) = add(multiply(X2,X1),multiply(X3,X2)),
inference(superposition,[],[f2,f1305]) ).
fof(f2192,plain,
! [X10,X9] : multiply(X9,X10) = add(multiply(X10,add(X9,inverse(X10))),multiply(X9,X10)),
inference(forward_demodulation,[],[f2164,f1540]) ).
fof(f2164,plain,
! [X10,X9] : multiply(X9,inverse(inverse(X10))) = add(multiply(X10,add(X9,inverse(X10))),multiply(X9,inverse(inverse(X10)))),
inference(superposition,[],[f1796,f1676]) ).
fof(f1796,plain,
! [X10,X11] : add(multiply(X11,add(X10,inverse(X11))),X10) = X10,
inference(superposition,[],[f1500,f14]) ).
fof(f149672,plain,
! [X215,X213,X214] : multiply(multiply(X214,X213),X215) = multiply(X214,multiply(X215,multiply(X213,X214))),
inference(forward_demodulation,[],[f149671,f1305]) ).
fof(f149671,plain,
! [X215,X213,X214] : multiply(multiply(X214,X213),X215) = multiply(multiply(X215,multiply(X213,X214)),X214),
inference(forward_demodulation,[],[f149670,f149526]) ).
fof(f149526,plain,
! [X73,X76,X74,X75] : multiply(multiply(X74,multiply(X73,X75)),X76) = multiply(multiply(X76,X73),multiply(X74,multiply(X73,X75))),
inference(backward_demodulation,[],[f17934,f149035]) ).
fof(f149035,plain,
! [X145,X146,X144] : multiply(multiply(X144,X145),X146) = multiply(multiply(X144,X145),multiply(X146,X144)),
inference(superposition,[],[f148852,f1647]) ).
fof(f1647,plain,
! [X10,X9] : add(X10,multiply(X10,X9)) = X10,
inference(superposition,[],[f1565,f1305]) ).
fof(f148852,plain,
! [X2,X3,X4] : multiply(X2,X3) = multiply(X2,multiply(X3,add(X4,X2))),
inference(forward_demodulation,[],[f148851,f1305]) ).
fof(f148851,plain,
! [X2,X3,X4] : multiply(X2,X3) = multiply(multiply(X3,add(X4,X2)),X2),
inference(forward_demodulation,[],[f148850,f2197]) ).
fof(f2197,plain,
! [X21,X19,X20] : multiply(multiply(X19,X20),X21) = multiply(multiply(X21,X19),multiply(multiply(X19,X20),X21)),
inference(backward_demodulation,[],[f233,f2194]) ).
fof(f233,plain,
! [X21,X19,X20] : multiply(multiply(X20,add(X19,inverse(X20))),X21) = multiply(multiply(X21,X19),multiply(multiply(X20,add(X19,inverse(X20))),X21)),
inference(superposition,[],[f47,f14]) ).
fof(f148850,plain,
! [X2,X3,X4] : multiply(X2,X3) = multiply(multiply(X2,X3),multiply(multiply(X3,add(X4,X2)),X2)),
inference(forward_demodulation,[],[f148364,f1305]) ).
fof(f148364,plain,
! [X2,X3,X4] : multiply(X2,X3) = multiply(multiply(multiply(X3,add(X4,X2)),X2),multiply(X2,X3)),
inference(superposition,[],[f2197,f1310]) ).
fof(f1310,plain,
! [X2,X0,X1] : multiply(X2,X1) = multiply(multiply(X2,X1),multiply(X1,add(X0,X2))),
inference(backward_demodulation,[],[f47,f1305]) ).
fof(f17934,plain,
! [X73,X76,X74,X75] : multiply(multiply(X74,multiply(X73,X75)),X76) = multiply(multiply(X76,X73),multiply(multiply(X74,multiply(X73,X75)),X76)),
inference(forward_demodulation,[],[f17726,f1305]) ).
fof(f17726,plain,
! [X73,X76,X74,X75] : multiply(multiply(X74,multiply(X73,X75)),X76) = multiply(multiply(multiply(X74,multiply(X73,X75)),X76),multiply(X76,X73)),
inference(superposition,[],[f1310,f9511]) ).
fof(f9511,plain,
! [X58,X59,X60] : add(X58,multiply(X60,multiply(X58,X59))) = X58,
inference(superposition,[],[f8667,f1647]) ).
fof(f8667,plain,
! [X38,X36,X37] : add(X38,X37) = add(add(X38,X37),multiply(X36,X37)),
inference(superposition,[],[f1565,f1701]) ).
fof(f1701,plain,
! [X2,X3,X4] : multiply(X3,X2) = multiply(multiply(X3,X2),add(X4,X2)),
inference(superposition,[],[f1285,f1565]) ).
fof(f149670,plain,
! [X215,X213,X214] : multiply(multiply(X214,X213),X215) = multiply(multiply(X214,X213),multiply(X215,multiply(X213,X214))),
inference(forward_demodulation,[],[f149546,f1305]) ).
fof(f149546,plain,
! [X215,X213,X214] : multiply(multiply(X214,X213),X215) = multiply(multiply(X215,multiply(X213,X214)),multiply(X214,X213)),
inference(backward_demodulation,[],[f148326,f149035]) ).
fof(f148326,plain,
! [X215,X213,X214] : multiply(multiply(X214,X213),X215) = multiply(multiply(X215,multiply(X213,X214)),multiply(multiply(X214,X213),X215)),
inference(superposition,[],[f2197,f1216]) ).
fof(f1216,plain,
! [X18,X17] : multiply(X17,X18) = multiply(multiply(X18,X17),multiply(X17,X18)),
inference(backward_demodulation,[],[f232,f1198]) ).
fof(f232,plain,
! [X18,X17] : multiply(multiply(X17,n1),X18) = multiply(multiply(X18,X17),multiply(multiply(X17,n1),X18)),
inference(superposition,[],[f47,f15]) ).
fof(f169169,plain,
! [X2,X0,X1] : add(X1,X2) = add(X2,add(X1,multiply(X0,X2))),
inference(superposition,[],[f166985,f1540]) ).
fof(f166985,plain,
! [X580,X578,X579] : add(X579,X578) = add(X578,add(X579,multiply(inverse(X580),X578))),
inference(forward_demodulation,[],[f166984,f34014]) ).
fof(f34014,plain,
! [X2,X1] : multiply(inverse(X2),X1) = inverse(add(X2,inverse(X1))),
inference(forward_demodulation,[],[f33770,f22834]) ).
fof(f22834,plain,
! [X46,X47] : inverse(add(X47,inverse(X46))) = multiply(X46,inverse(multiply(X46,X47))),
inference(forward_demodulation,[],[f22833,f11335]) ).
fof(f11335,plain,
! [X108,X109,X107] : inverse(add(X107,X108)) = multiply(inverse(multiply(X109,X107)),inverse(add(X107,X108))),
inference(forward_demodulation,[],[f11180,f1198]) ).
fof(f11180,plain,
! [X108,X109,X107] : multiply(inverse(multiply(X109,X107)),inverse(add(X107,X108))) = multiply(inverse(add(X107,X108)),n1),
inference(superposition,[],[f1673,f4695]) ).
fof(f4695,plain,
! [X26,X27,X25] : n1 = add(add(X26,X27),inverse(multiply(X25,X26))),
inference(superposition,[],[f3985,f2266]) ).
fof(f3985,plain,
! [X38,X36,X37] : n1 = add(inverse(multiply(X37,X36)),add(X36,X38)),
inference(superposition,[],[f2786,f1565]) ).
fof(f2786,plain,
! [X18,X19,X17] : n1 = add(inverse(X17),add(add(X18,X17),X19)),
inference(forward_demodulation,[],[f2754,f2266]) ).
fof(f2754,plain,
! [X18,X19,X17] : n1 = add(add(add(X18,X17),X19),inverse(X17)),
inference(superposition,[],[f2669,f1566]) ).
fof(f1566,plain,
! [X2,X0,X1] : multiply(X1,add(add(X0,X1),X2)) = X1,
inference(backward_demodulation,[],[f41,f1565]) ).
fof(f22833,plain,
! [X46,X47] : multiply(X46,inverse(multiply(X46,X47))) = multiply(inverse(multiply(X46,X47)),inverse(add(X47,inverse(X46)))),
inference(forward_demodulation,[],[f22832,f1305]) ).
fof(f22832,plain,
! [X46,X47] : multiply(inverse(add(X47,inverse(X46))),inverse(multiply(X46,X47))) = multiply(X46,inverse(multiply(X46,X47))),
inference(forward_demodulation,[],[f22641,f1305]) ).
fof(f22641,plain,
! [X46,X47] : multiply(inverse(add(X47,inverse(X46))),inverse(multiply(X46,X47))) = multiply(inverse(multiply(X46,X47)),X46),
inference(superposition,[],[f1673,f14924]) ).
fof(f14924,plain,
! [X2,X1] : add(multiply(X2,X1),inverse(add(X1,inverse(X2)))) = X2,
inference(superposition,[],[f8134,f1305]) ).
fof(f8134,plain,
! [X16,X15] : add(multiply(X16,X15),inverse(add(X16,inverse(X15)))) = X15,
inference(forward_demodulation,[],[f8133,f3350]) ).
fof(f3350,plain,
! [X42,X43] : add(X42,inverse(add(X43,inverse(X42)))) = X42,
inference(forward_demodulation,[],[f3349,f2266]) ).
fof(f3349,plain,
! [X42,X43] : add(inverse(add(X43,inverse(X42))),X42) = X42,
inference(forward_demodulation,[],[f3330,f1242]) ).
fof(f3330,plain,
! [X42,X43] : add(inverse(add(X43,inverse(X42))),X42) = add(X42,inverse(n1)),
inference(superposition,[],[f2285,f3038]) ).
fof(f3038,plain,
! [X8,X7] : inverse(n1) = multiply(X7,inverse(add(X8,X7))),
inference(forward_demodulation,[],[f3006,f1305]) ).
fof(f3006,plain,
! [X8,X7] : inverse(n1) = multiply(inverse(add(X8,X7)),X7),
inference(superposition,[],[f2925,f1290]) ).
fof(f2925,plain,
! [X0,X1] : inverse(n1) = multiply(inverse(X0),multiply(X1,X0)),
inference(superposition,[],[f2891,f1540]) ).
fof(f2891,plain,
! [X18,X19] : inverse(n1) = multiply(X18,multiply(X19,inverse(X18))),
inference(forward_demodulation,[],[f2890,f1321]) ).
fof(f2890,plain,
! [X18,X19] : multiply(X18,inverse(X18)) = multiply(X18,multiply(X19,inverse(X18))),
inference(forward_demodulation,[],[f2851,f1305]) ).
fof(f2851,plain,
! [X18,X19] : multiply(X18,inverse(X18)) = multiply(multiply(X19,inverse(X18)),X18),
inference(superposition,[],[f2363,f1565]) ).
fof(f2363,plain,
! [X3,X4] : multiply(X3,X4) = multiply(X4,add(inverse(X4),X3)),
inference(superposition,[],[f2194,f2266]) ).
fof(f8133,plain,
! [X16,X15] : add(X15,inverse(add(X16,inverse(X15)))) = add(multiply(X16,X15),inverse(add(X16,inverse(X15)))),
inference(forward_demodulation,[],[f8061,f2266]) ).
fof(f8061,plain,
! [X16,X15] : add(X15,inverse(add(X16,inverse(X15)))) = add(inverse(add(X16,inverse(X15))),multiply(X16,X15)),
inference(superposition,[],[f2199,f2194]) ).
fof(f2199,plain,
! [X0,X1] : add(X0,inverse(X1)) = add(inverse(X1),multiply(X0,X1)),
inference(backward_demodulation,[],[f1522,f2194]) ).
fof(f1522,plain,
! [X0,X1] : add(X0,inverse(X1)) = add(inverse(X1),multiply(X1,add(X0,inverse(X1)))),
inference(backward_demodulation,[],[f54,f1513]) ).
fof(f1513,plain,
! [X0,X1] : add(X0,inverse(X1)) = add(add(X0,inverse(X1)),inverse(X1)),
inference(backward_demodulation,[],[f1257,f1500]) ).
fof(f1257,plain,
! [X0,X1] : add(X0,inverse(X1)) = add(inverse(X1),add(add(X0,inverse(X1)),inverse(X1))),
inference(forward_demodulation,[],[f1254,f797]) ).
fof(f797,plain,
! [X6,X4] : inverse(X4) = multiply(inverse(X4),add(X6,inverse(X4))),
inference(backward_demodulation,[],[f626,f780]) ).
fof(f626,plain,
! [X6,X4] : multiply(inverse(X4),n1) = multiply(inverse(X4),add(X6,multiply(inverse(X4),n1))),
inference(forward_demodulation,[],[f590,f554]) ).
fof(f590,plain,
! [X6,X4] : multiply(inverse(X4),add(X6,n1)) = multiply(inverse(X4),add(X6,multiply(inverse(X4),n1))),
inference(backward_demodulation,[],[f199,f554]) ).
fof(f199,plain,
! [X6,X4,X5] : multiply(inverse(X4),add(X6,n1)) = multiply(inverse(X4),add(X6,multiply(inverse(X4),add(X5,n1)))),
inference(forward_demodulation,[],[f195,f45]) ).
fof(f195,plain,
! [X6,X4,X5] : multiply(inverse(X4),add(X6,multiply(inverse(X4),add(X5,n1)))) = add(multiply(X6,inverse(X4)),inverse(X4)),
inference(superposition,[],[f2,f177]) ).
fof(f177,plain,
! [X10,X9] : inverse(X9) = multiply(multiply(inverse(X9),add(X10,n1)),inverse(X9)),
inference(superposition,[],[f1,f79]) ).
fof(f1254,plain,
! [X0,X1] : add(X0,inverse(X1)) = add(inverse(X1),add(add(X0,inverse(X1)),multiply(inverse(X1),add(X0,inverse(X1))))),
inference(backward_demodulation,[],[f48,f1211]) ).
fof(f48,plain,
! [X0,X1] : add(X0,inverse(X1)) = add(inverse(X1),multiply(add(X0,inverse(X1)),add(add(X0,inverse(X1)),inverse(X1)))),
inference(superposition,[],[f12,f1]) ).
fof(f54,plain,
! [X0,X1] : add(X0,inverse(X1)) = add(inverse(X1),multiply(X1,add(add(X0,inverse(X1)),inverse(X1)))),
inference(superposition,[],[f14,f1]) ).
fof(f33770,plain,
! [X2,X1] : multiply(inverse(X2),X1) = multiply(X1,inverse(multiply(X1,X2))),
inference(superposition,[],[f2363,f33602]) ).
fof(f33602,plain,
! [X54,X53] : inverse(multiply(X53,X54)) = add(inverse(X53),inverse(X54)),
inference(forward_demodulation,[],[f33601,f3054]) ).
fof(f3054,plain,
! [X26,X25] : inverse(X25) = multiply(inverse(X25),inverse(multiply(X26,X25))),
inference(forward_demodulation,[],[f3033,f1197]) ).
fof(f3033,plain,
! [X26,X25] : inverse(X25) = add(inverse(n1),multiply(inverse(X25),inverse(multiply(X26,X25)))),
inference(superposition,[],[f1675,f2925]) ).
fof(f33601,plain,
! [X54,X53] : inverse(multiply(X53,X54)) = add(inverse(X53),multiply(inverse(X54),inverse(multiply(X53,X54)))),
inference(forward_demodulation,[],[f33600,f4331]) ).
fof(f4331,plain,
! [X18,X19,X17] : multiply(inverse(multiply(X17,X18)),add(inverse(X17),X19)) = add(inverse(X17),multiply(X19,inverse(multiply(X17,X18)))),
inference(superposition,[],[f2,f3107]) ).
fof(f3107,plain,
! [X26,X27] : inverse(X26) = multiply(inverse(X26),inverse(multiply(X26,X27))),
inference(forward_demodulation,[],[f3091,f1197]) ).
fof(f3091,plain,
! [X26,X27] : inverse(X26) = add(inverse(n1),multiply(inverse(X26),inverse(multiply(X26,X27)))),
inference(superposition,[],[f1675,f2956]) ).
fof(f2956,plain,
! [X0,X1] : inverse(n1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f2896,f1540]) ).
fof(f2896,plain,
! [X22,X23] : inverse(n1) = multiply(X22,multiply(inverse(X22),X23)),
inference(forward_demodulation,[],[f2895,f1305]) ).
fof(f2895,plain,
! [X22,X23] : inverse(n1) = multiply(multiply(inverse(X22),X23),X22),
inference(forward_demodulation,[],[f2853,f1321]) ).
fof(f2853,plain,
! [X22,X23] : multiply(multiply(inverse(X22),X23),X22) = multiply(X22,inverse(X22)),
inference(superposition,[],[f2363,f1647]) ).
fof(f33600,plain,
! [X54,X53] : inverse(multiply(X53,X54)) = multiply(inverse(multiply(X53,X54)),add(inverse(X53),inverse(X54))),
inference(forward_demodulation,[],[f33599,f13774]) ).
fof(f13774,plain,
! [X62,X60,X61] : multiply(add(X61,X62),X60) = multiply(X60,add(X62,X61)),
inference(superposition,[],[f2355,f1305]) ).
fof(f2355,plain,
! [X18,X16,X17] : multiply(X17,add(X16,X18)) = multiply(X17,add(X18,X16)),
inference(forward_demodulation,[],[f2313,f2]) ).
fof(f2313,plain,
! [X18,X16,X17] : multiply(X17,add(X16,X18)) = add(multiply(X18,X17),multiply(X16,X17)),
inference(superposition,[],[f2266,f2]) ).
fof(f33599,plain,
! [X54,X53] : inverse(multiply(X53,X54)) = multiply(add(inverse(X54),inverse(X53)),inverse(multiply(X53,X54))),
inference(forward_demodulation,[],[f33413,f1198]) ).
fof(f33413,plain,
! [X54,X53] : multiply(add(inverse(X54),inverse(X53)),inverse(multiply(X53,X54))) = multiply(inverse(multiply(X53,X54)),n1),
inference(superposition,[],[f1673,f14628]) ).
fof(f14628,plain,
! [X132,X133] : n1 = add(multiply(X132,X133),add(inverse(X133),inverse(X132))),
inference(forward_demodulation,[],[f14627,f2493]) ).
fof(f2493,plain,
! [X0,X1] : add(X1,inverse(X0)) = add(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f2285,f1540]) ).
fof(f14627,plain,
! [X132,X133] : n1 = add(multiply(X132,X133),add(inverse(X132),multiply(X132,inverse(X133)))),
inference(forward_demodulation,[],[f14493,f2266]) ).
fof(f14493,plain,
! [X132,X133] : n1 = add(multiply(X132,X133),add(multiply(X132,inverse(X133)),inverse(X132))),
inference(superposition,[],[f14193,f1675]) ).
fof(f14193,plain,
! [X2,X1] : n1 = add(X2,add(X1,inverse(add(X2,X1)))),
inference(superposition,[],[f14190,f2266]) ).
fof(f14190,plain,
! [X171,X172] : n1 = add(X171,add(X172,inverse(add(X172,X171)))),
inference(forward_demodulation,[],[f14189,f1540]) ).
fof(f14189,plain,
! [X171,X172] : n1 = add(X171,add(X172,inverse(add(X172,inverse(inverse(X171)))))),
inference(forward_demodulation,[],[f14188,f2266]) ).
fof(f14188,plain,
! [X171,X172] : n1 = add(add(X172,inverse(add(X172,inverse(inverse(X171))))),X171),
inference(forward_demodulation,[],[f14132,f3]) ).
fof(f14132,plain,
! [X171,X172] : add(add(X172,inverse(add(X172,inverse(inverse(X171))))),X171) = add(X171,inverse(X171)),
inference(superposition,[],[f2285,f2398]) ).
fof(f2398,plain,
! [X24,X23] : multiply(X23,add(X24,inverse(add(X24,inverse(X23))))) = X23,
inference(forward_demodulation,[],[f2381,f1645]) ).
fof(f2381,plain,
! [X24,X23] : add(multiply(X24,X23),multiply(X23,inverse(add(X24,inverse(X23))))) = X23,
inference(superposition,[],[f1675,f2194]) ).
fof(f166984,plain,
! [X580,X578,X579] : add(X579,X578) = add(X578,add(X579,inverse(add(X580,inverse(X578))))),
inference(forward_demodulation,[],[f166983,f2266]) ).
fof(f166983,plain,
! [X580,X578,X579] : add(X579,X578) = add(add(X579,inverse(add(X580,inverse(X578)))),X578),
inference(forward_demodulation,[],[f166680,f2285]) ).
fof(f166680,plain,
! [X580,X578,X579] : add(add(X579,inverse(add(X580,inverse(X578)))),X578) = add(X578,multiply(inverse(X578),X579)),
inference(superposition,[],[f2285,f159089]) ).
fof(f159089,plain,
! [X65,X66,X67] : multiply(X66,X67) = multiply(X66,add(X67,inverse(add(X65,X66)))),
inference(forward_demodulation,[],[f158553,f148852]) ).
fof(f158553,plain,
! [X65,X66,X67] : multiply(X66,add(X67,inverse(add(X65,X66)))) = multiply(X66,multiply(X67,add(X65,X66))),
inference(superposition,[],[f149602,f2194]) ).
fof(f149602,plain,
! [X62,X63,X64] : multiply(X64,X62) = multiply(X64,multiply(add(X63,X64),X62)),
inference(forward_demodulation,[],[f149596,f1305]) ).
fof(f149596,plain,
! [X62,X63,X64] : multiply(X64,X62) = multiply(multiply(add(X63,X64),X62),X64),
inference(backward_demodulation,[],[f17800,f149522]) ).
fof(f149522,plain,
! [X58,X59,X60] : multiply(multiply(X59,X58),X60) = multiply(multiply(X60,X58),multiply(X59,X58)),
inference(backward_demodulation,[],[f17930,f149035]) ).
fof(f17930,plain,
! [X58,X59,X60] : multiply(multiply(X59,X58),X60) = multiply(multiply(X60,X58),multiply(multiply(X59,X58),X60)),
inference(forward_demodulation,[],[f17722,f1305]) ).
fof(f17722,plain,
! [X58,X59,X60] : multiply(multiply(X59,X58),X60) = multiply(multiply(multiply(X59,X58),X60),multiply(X60,X58)),
inference(superposition,[],[f1310,f1565]) ).
fof(f17800,plain,
! [X62,X63,X64] : multiply(X64,X62) = multiply(multiply(X64,X62),multiply(add(X63,X64),X62)),
inference(superposition,[],[f1310,f1305]) ).
fof(f1604,plain,
add(a,multiply(b,c)) != add(a,multiply(c,add(a,b))),
inference(backward_demodulation,[],[f8,f1600]) ).
fof(f8,axiom,
add(a,multiply(b,c)) != multiply(add(a,b),add(a,c)),
file('/export/starexec/sandbox/tmp/tmp.JHaqILbvjP/Vampire---4.8_29647',prove_add_multiply_property) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : BOO023-1 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun Aug 27 08:19:35 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.11/0.33 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.JHaqILbvjP/Vampire---4.8_29647
% 0.11/0.33 % (29756)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (29759)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_839 on Vampire---4 for (839ds/0Mi)
% 0.17/0.39 % (29760)lrs+10_10_av=off:bd=off:fde=unused:nwc=4.0:sims=off:sp=occurrence:to=lpo:stl=125_468 on Vampire---4 for (468ds/0Mi)
% 0.17/0.39 % (29757)dis+10_2_av=off:bd=preordered:drc=off:nwc=1.2:sims=off:sp=reverse_frequency:to=lpo:tgt=ground_1169 on Vampire---4 for (1169ds/0Mi)
% 0.17/0.39 % (29762)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_392 on Vampire---4 for (392ds/0Mi)
% 0.17/0.39 % (29763)dis+10_50_av=off:sims=off:sp=weighted_frequency:tgt=full_325 on Vampire---4 for (325ds/0Mi)
% 0.17/0.39 % (29758)dis+10_40_av=off:bd=preordered:drc=off:nwc=1.3:sp=scramble:tgt=ground_1117 on Vampire---4 for (1117ds/0Mi)
% 0.17/0.39 % (29761)dis+10_5:4_av=off:bd=off:drc=off:fde=unused:nwc=1.5:sims=off:to=lpo:tgt=ground_445 on Vampire---4 for (445ds/0Mi)
% 32.87/5.04 % (29759)First to succeed.
% 32.87/5.06 % (29759)Refutation found. Thanks to Tanya!
% 32.87/5.06 % SZS status Unsatisfiable for Vampire---4
% 32.87/5.06 % SZS output start Proof for Vampire---4
% See solution above
% 32.87/5.06 % (29759)------------------------------
% 32.87/5.06 % (29759)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 32.87/5.06 % (29759)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 32.87/5.06 % (29759)Termination reason: Refutation
% 32.87/5.06
% 32.87/5.06 % (29759)Memory used [KB]: 134454
% 32.87/5.06 % (29759)Time elapsed: 4.660 s
% 32.87/5.06 % (29759)------------------------------
% 32.87/5.06 % (29759)------------------------------
% 32.87/5.06 % (29756)Success in time 4.72 s
% 32.87/5.06 % Vampire---4.8 exiting
%------------------------------------------------------------------------------